Bankruptcy Final
Sith
12/11/2023
Remove Packages / Clear Memory
Load
Load R Libraries
######Libraries#############################
suppressWarnings({
require(Amelia)
#require(broom)
require(car)
require(caret)
require(corrplot)
require(dplyr)
#require(e1071)
#require(fastDummies)
#require(fmsb)
require(formattable)
require(ggplot2)
require(ggcorrplot)
#require(ggExtra)
require(glmnet)
#require(glmpath)
require(grid)
require(gridExtra)
require(Hmisc)
require(kableExtra)
require(kernlab)
require(knitr)
require(leaflet)
#require(leaflet.extras)
#require(leaps)
#require(maptools)
#require(MASS)
require(imbalance)
#require(MLmetrics)
#require(mlpack)
require(neuralnet)
#require(NeuralNetTools)
#require(nnet)
require(pROC)
require(PRROC)
require(psych)
require(raster)
require(ResourceSelection)
#require(RColorBrewer)
#require(ResourceSelection)
#require(reticulate)
#require(rgdal)
#require(rgeos)
require(rpart)
require(rpart.plot)
#require(shiny)
#require(sf)
#require(sjPlot)
require(sp)
require(tidyverse)
}) ## Loading required package: Amelia## Loading required package: Rcpp## ##
## ## Amelia II: Multiple Imputation
## ## (Version 1.8.3, built: 2024-11-07)
## ## Copyright (C) 2005-2025 James Honaker, Gary King and Matthew Blackwell
## ## Refer to http://gking.harvard.edu/amelia/ for more information
## #### Loading required package: car## Loading required package: carData## Loading required package: caret## Loading required package: ggplot2## Loading required package: lattice## Loading required package: corrplot## corrplot 0.95 loaded## Loading required package: dplyr##
## Attaching package: 'dplyr'## The following object is masked from 'package:car':
##
## recode## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, union## Loading required package: formattable## Loading required package: ggcorrplot## Loading required package: glmnet## Loading required package: Matrix## Loaded glmnet 4.1-8## Loading required package: grid## Loading required package: gridExtra##
## Attaching package: 'gridExtra'## The following object is masked from 'package:dplyr':
##
## combine## Loading required package: Hmisc##
## Attaching package: 'Hmisc'## The following objects are masked from 'package:dplyr':
##
## src, summarize## The following objects are masked from 'package:base':
##
## format.pval, units## Loading required package: kableExtra##
## Attaching package: 'kableExtra'## The following object is masked from 'package:dplyr':
##
## group_rows## Loading required package: kernlab##
## Attaching package: 'kernlab'## The following object is masked from 'package:ggplot2':
##
## alpha## Loading required package: knitr## Loading required package: leaflet## Loading required package: imbalance## Loading required package: neuralnet##
## Attaching package: 'neuralnet'## The following object is masked from 'package:dplyr':
##
## compute## Loading required package: pROC## Type 'citation("pROC")' for a citation.##
## Attaching package: 'pROC'## The following objects are masked from 'package:stats':
##
## cov, smooth, var## Loading required package: PRROC## Loading required package: rlang## Loading required package: psych##
## Attaching package: 'psych'## The following object is masked from 'package:kernlab':
##
## alpha## The following object is masked from 'package:Hmisc':
##
## describe## The following objects are masked from 'package:ggplot2':
##
## %+%, alpha## The following object is masked from 'package:car':
##
## logit## Loading required package: raster## Loading required package: sp##
## Attaching package: 'raster'## The following object is masked from 'package:kernlab':
##
## rotated## The following object is masked from 'package:dplyr':
##
## select## Loading required package: ResourceSelection## ResourceSelection 0.3-6 2023-06-27## Loading required package: rpart## Loading required package: rpart.plot## Loading required package: tidyverse## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ forcats 1.0.0 ✔ stringr 1.5.1
## ✔ lubridate 1.9.4 ✔ tibble 3.2.1
## ✔ purrr 1.0.4 ✔ tidyr 1.3.1
## ✔ readr 2.1.5
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ purrr::%@%() masks rlang::%@%()
## ✖ psych::%+%() masks ggplot2::%+%()
## ✖ psych::alpha() masks kernlab::alpha(), ggplot2::alpha()
## ✖ gridExtra::combine() masks dplyr::combine()
## ✖ neuralnet::compute() masks dplyr::compute()
## ✖ purrr::cross() masks kernlab::cross()
## ✖ tidyr::expand() masks Matrix::expand()
## ✖ tidyr::extract() masks raster::extract()
## ✖ dplyr::filter() masks stats::filter()
## ✖ purrr::flatten() masks rlang::flatten()
## ✖ purrr::flatten_chr() masks rlang::flatten_chr()
## ✖ purrr::flatten_dbl() masks rlang::flatten_dbl()
## ✖ purrr::flatten_int() masks rlang::flatten_int()
## ✖ purrr::flatten_lgl() masks rlang::flatten_lgl()
## ✖ purrr::flatten_raw() masks rlang::flatten_raw()
## ✖ kableExtra::group_rows() masks dplyr::group_rows()
## ✖ purrr::invoke() masks rlang::invoke()
## ✖ dplyr::lag() masks stats::lag()
## ✖ purrr::lift() masks caret::lift()
## ✖ tidyr::pack() masks Matrix::pack()
## ✖ dplyr::recode() masks car::recode()
## ✖ raster::select() masks dplyr::select()
## ✖ purrr::some() masks car::some()
## ✖ purrr::splice() masks rlang::splice()
## ✖ Hmisc::src() masks dplyr::src()
## ✖ Hmisc::summarize() masks dplyr::summarize()
## ✖ tidyr::unpack() masks Matrix::unpack()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors############################################Load Preliminary Functions
# Define a custom print function that prints the input
myprint <- function(x) {
if (is.data.frame(x) || is.matrix(x)) {
x %>%
kbl() %>%
kable_classic(full_width = FALSE, font_size = 16) %>%
kable_styling(font = "Cambria") %>%
print()
} else {
print(x)
}
}
# Define a custom citation function that gets the citation for the input package
mycite <- function(x) {
citation(x)
}
# Define a function to calculate and plot the correlation matrix of a dataset
corfunction <- function(d) {
# Calculate the correlation matrix of the dataset
mycorr <- cor(d[, 1:ncol(d)])
# Calculate the p-values for the correlation matrix
p.mat <- ggcorrplot::cor_pmat(d[, 1:ncol(d)])
# Create the correlation plot using ggcorrplot
myplot <- ggcorrplot(
mycorr, # Correlation matrix
hc.order = TRUE, # Use hierarchical clustering order
type = "lower", # Display the lower triangle of the matrix
colors = c("red", "white", "green"), # Colors for the correlation values
tl.cex = 8, # Text label size for the axis
tl.col = "black", # Text label color
lab = TRUE, # Display correlation values on the plot
lab_size = 2, # Size of the correlation value labels
p.mat = p.mat, # Matrix of p-values for significance testing
insig = "pch", # Mark insignificant correlations
pch = 4 # Shape of the mark for insignificant correlations
)
# Print the correlation plot
print(myplot)
}Load Geography
# Set the working directory to the specified path
setwd("C:/Users/lfult/Documents/Bankruptcy Study/")
# Load the shapefile using the 'raster' package
myshape <- raster::shapefile("cb_2018_us_county_20m.shp")
# Convert the STATEFP attribute in the shapefile to numeric and assign it to a new column 'M'
myshape$M <- as.numeric(myshape$STATEFP)Load Flat Files
# Read the CSV file 'lags_final4.csv' into a data frame named 'bankrupt0'
# Set 'stringsAsFactors' to TRUE to convert strings to factors
bankrupt0 <- read.csv('lags_final4.csv', stringsAsFactors = T)
# Create a copy of 'bankrupt0' and assign it to a new data frame named 'bankrupt'
bankrupt <- bankrupt0
# Convert the 'AR_by_OpIncome' column in the 'bankrupt' data frame to numeric
bankrupt$AR_by_OpIncome <- as.numeric(bankrupt$AR_by_OpIncome)
# Plot a missing value map for the 'bankrupt' data frame
# 'x.cex' controls the size of the axis labels in the plot
missmap(bankrupt, x.cex = 0.5)
Scale Appropriate Variables
# Scale down the 'AR_by_OpIncome' column by dividing by 1000
bankrupt$AR_by_OpIncome <- bankrupt$AR_by_OpIncome / 1000
# Scale down the 'AR_by_OpIncome.y.1.' column by dividing by 1000
bankrupt$AR_by_OpIncome.y.1. <- bankrupt$AR_by_OpIncome.y.1. / 1000
# Scale down the 'AR_by_OpIncome.y.2.' column by dividing by 1000
bankrupt$AR_by_OpIncome.y.2. <- bankrupt$AR_by_OpIncome.y.2. / 1000
# Scale down the 'AdjPxDays' column by dividing by 10000
bankrupt$AdjPxDays <- bankrupt$AdjPxDays / 10000
# Scale down the 'AdjPxDays.y.1.' column by dividing by 10000
bankrupt$AdjPxDays.y.1. <- bankrupt$AdjPxDays.y.1. / 10000
# Scale down the 'AdjPxDays.y.2.' column by dividing by 10000
bankrupt$AdjPxDays.y.2. <- bankrupt$AdjPxDays.y.2. / 10000Merge Files
# Define a custom function 'myf' that calculates the mean of a given vector 'x'
myf <- function(x) mean(x)
# Aggregate the 'Bankrupt' column of the 'bankrupt' data frame by the 'GeoCode' column
# and apply the custom function 'myf' to each group
formap <- as.data.frame(aggregate(bankrupt$Bankrupt, by = list(bankrupt$GeoCode), FUN = myf))
# Rename the columns of the 'formap' data frame to 'M' and 'Bankrupt'
colnames(formap) <- c('M', 'Bankrupt')
# Merge the 'formap' data frame with the 'myshape' shapefile based on the 'M' column
# Keep all rows from 'formap' that match rows in 'myshape'
formap <- sp::merge(myshape, formap, by = "M", all.x = FALSE)
# Assign the 'formap' data frame to the 'temp' variable for temporary storage
temp <- formap
# Set the 'formap' variable to NULL, effectively clearing it
formap <- NULLMap Bankruptcies
Map of bankruptcies
# Create a color palette function for the 'Bankrupt' data
# The colors range from white to green, yellow, orange, red, and black
# The bins are defined by the values (0, 0.02, 0.04, 0.06, 0.08, 0.10, 0.12, 0.14)
qpal <- colorBin(c("white", "green", "yellow", "orange", "red", "black"),
bins = c(0, 0.02, 0.04, 0.06, 0.08, 0.10, 0.12, 0.14))
# Create a leaflet map object using the 'temp' data frame
leaf <- leaflet(temp) %>%
# Add default OpenStreetMap tiles
addTiles(group = "OSM (default)") %>%
# Add a map pane for borders with a specified z-index
addMapPane("borders", zIndex = 410) %>%
# Add black polylines for the borders
addPolylines(data = temp, color = "black",
opacity = 1, weight = 1, group = "Borders",
options = pathOptions(pane = "borders")) %>%
# Set the initial map view to show the full extent of the USA
fitBounds(-124.8, -66.9, 24.4, 49.4) %>%
# Set the initial map view to a specific location and zoom level
setView(-98.6, 39.83, zoom = 4) %>%
# Add polygons for each region, with no stroke, full opacity, and smooth edges
# The fill color is determined by the 'Bankrupt' data using the 'qpal' color palette
addPolygons(stroke = FALSE, fillOpacity = 1, smoothFactor = 0.2,
color = ~qpal(temp@data$Bankrupt),
popup = paste("County: ", temp@data$NAME, "<br>",
"Bankruptcies: ", temp@data$Bankrupt, "<br>")) %>%
# Add a legend to the bottom right of the map
# The legend uses the 'qpal' color palette and shows values for the 'Bankrupt' data
addLegend(data = temp, "bottomright", opacity = 1, pal = qpal,
values = ~temp@data$Bankrupt, title = "% Bankruptcies")## Warning in qpal(temp@data$Bankrupt): Some values were outside the color scale
## and will be treated as NA
## Warning in qpal(temp@data$Bankrupt): Some values were outside the color scale
## and will be treated as NA# Display the leaflet map
leafDrop Variables
# Remove multiple columns from the 'bankrupt' data frame
# Set the columns 'NewIndex', 'HospID', 'Name', 'City', 'State', and 'GeoCode' to NULL
bankrupt$NewIndex <- NULL
bankrupt$HospID <- NULL
bankrupt$Name <- NULL
bankrupt$City <- NULL
bankrupt$State <- NULL
bankrupt$GeoCode <- NULLDescriptives & Correlations
Descriptives
# Print the rounded summary statistics of the 'bankrupt' data frame
myprint(round(describe(bankrupt, IQR = TRUE, quant = c(.25, .75)), 3))## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> </th>
## <th style="text-align:right;"> vars </th>
## <th style="text-align:right;"> n </th>
## <th style="text-align:right;"> mean </th>
## <th style="text-align:right;"> sd </th>
## <th style="text-align:right;"> median </th>
## <th style="text-align:right;"> trimmed </th>
## <th style="text-align:right;"> mad </th>
## <th style="text-align:right;"> min </th>
## <th style="text-align:right;"> max </th>
## <th style="text-align:right;"> range </th>
## <th style="text-align:right;"> skew </th>
## <th style="text-align:right;"> kurtosis </th>
## <th style="text-align:right;"> se </th>
## <th style="text-align:right;"> IQR </th>
## <th style="text-align:right;"> Q0.25 </th>
## <th style="text-align:right;"> Q0.75 </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> Bankrupt </td>
## <td style="text-align:right;"> 1 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.100000e-02 </td>
## <td style="text-align:right;"> 1.440000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 6.673 </td>
## <td style="text-align:right;"> 42.546 </td>
## <td style="text-align:right;"> 3.000000e-03 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Year </td>
## <td style="text-align:right;"> 2 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.015272e+03 </td>
## <td style="text-align:right;"> 3.980000e+00 </td>
## <td style="text-align:right;"> 2016.000 </td>
## <td style="text-align:right;"> 2015.375 </td>
## <td style="text-align:right;"> 4.448 </td>
## <td style="text-align:right;"> 2.008000e+03 </td>
## <td style="text-align:right;"> 2.021000e+03 </td>
## <td style="text-align:right;"> 1.300000e+01 </td>
## <td style="text-align:right;"> -0.166 </td>
## <td style="text-align:right;"> -1.222 </td>
## <td style="text-align:right;"> 7.200000e-02 </td>
## <td style="text-align:right;"> 7.000 </td>
## <td style="text-align:right;"> 2012.000 </td>
## <td style="text-align:right;"> 2019.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AR_by_OpIncome </td>
## <td style="text-align:right;"> 3 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 3.736000e+00 </td>
## <td style="text-align:right;"> 2.544000e+00 </td>
## <td style="text-align:right;"> 4.058 </td>
## <td style="text-align:right;"> 3.667 </td>
## <td style="text-align:right;"> 3.271 </td>
## <td style="text-align:right;"> 3.000000e-03 </td>
## <td style="text-align:right;"> 8.592000e+00 </td>
## <td style="text-align:right;"> 8.589000e+00 </td>
## <td style="text-align:right;"> 0.067 </td>
## <td style="text-align:right;"> -1.114 </td>
## <td style="text-align:right;"> 4.600000e-02 </td>
## <td style="text-align:right;"> 4.324 </td>
## <td style="text-align:right;"> 1.484 </td>
## <td style="text-align:right;"> 5.807 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> FB_Plus_OpInc_ByFB </td>
## <td style="text-align:right;"> 4 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.329000e+00 </td>
## <td style="text-align:right;"> 1.322200e+01 </td>
## <td style="text-align:right;"> 1.020 </td>
## <td style="text-align:right;"> 1.018 </td>
## <td style="text-align:right;"> 0.193 </td>
## <td style="text-align:right;"> -4.289000e+01 </td>
## <td style="text-align:right;"> 6.986900e+02 </td>
## <td style="text-align:right;"> 7.415800e+02 </td>
## <td style="text-align:right;"> 48.411 </td>
## <td style="text-align:right;"> 2513.636 </td>
## <td style="text-align:right;"> 2.380000e-01 </td>
## <td style="text-align:right;"> 0.260 </td>
## <td style="text-align:right;"> 0.890 </td>
## <td style="text-align:right;"> 1.150 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PercentMedicaidDays </td>
## <td style="text-align:right;"> 5 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 8.800000e-02 </td>
## <td style="text-align:right;"> 9.200000e-02 </td>
## <td style="text-align:right;"> 0.060 </td>
## <td style="text-align:right;"> 0.071 </td>
## <td style="text-align:right;"> 0.044 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 9.800000e-01 </td>
## <td style="text-align:right;"> 9.800000e-01 </td>
## <td style="text-align:right;"> 2.845 </td>
## <td style="text-align:right;"> 13.222 </td>
## <td style="text-align:right;"> 2.000000e-03 </td>
## <td style="text-align:right;"> 0.080 </td>
## <td style="text-align:right;"> 0.030 </td>
## <td style="text-align:right;"> 0.110 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PercentMedicareDays </td>
## <td style="text-align:right;"> 6 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 3.070000e-01 </td>
## <td style="text-align:right;"> 1.100000e-01 </td>
## <td style="text-align:right;"> 0.300 </td>
## <td style="text-align:right;"> 0.302 </td>
## <td style="text-align:right;"> 0.104 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 8.700000e-01 </td>
## <td style="text-align:right;"> 8.700000e-01 </td>
## <td style="text-align:right;"> 0.529 </td>
## <td style="text-align:right;"> 1.161 </td>
## <td style="text-align:right;"> 2.000000e-03 </td>
## <td style="text-align:right;"> 0.130 </td>
## <td style="text-align:right;"> 0.240 </td>
## <td style="text-align:right;"> 0.370 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> CurrentRatio </td>
## <td style="text-align:right;"> 7 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 5.233000e+00 </td>
## <td style="text-align:right;"> 1.289890e+02 </td>
## <td style="text-align:right;"> 1.820 </td>
## <td style="text-align:right;"> 1.994 </td>
## <td style="text-align:right;"> 1.349 </td>
## <td style="text-align:right;"> -4.645900e+02 </td>
## <td style="text-align:right;"> 7.098050e+03 </td>
## <td style="text-align:right;"> 7.562640e+03 </td>
## <td style="text-align:right;"> 53.842 </td>
## <td style="text-align:right;"> 2955.158 </td>
## <td style="text-align:right;"> 2.320000e+00 </td>
## <td style="text-align:right;"> 1.885 </td>
## <td style="text-align:right;"> 1.035 </td>
## <td style="text-align:right;"> 2.920 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Debt2Equity </td>
## <td style="text-align:right;"> 8 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -1.710000e-01 </td>
## <td style="text-align:right;"> 3.804600e+01 </td>
## <td style="text-align:right;"> 0.320 </td>
## <td style="text-align:right;"> 0.377 </td>
## <td style="text-align:right;"> 0.460 </td>
## <td style="text-align:right;"> -1.922500e+03 </td>
## <td style="text-align:right;"> 4.077900e+02 </td>
## <td style="text-align:right;"> 2.330290e+03 </td>
## <td style="text-align:right;"> -41.238 </td>
## <td style="text-align:right;"> 2114.796 </td>
## <td style="text-align:right;"> 6.840000e-01 </td>
## <td style="text-align:right;"> 0.750 </td>
## <td style="text-align:right;"> 0.020 </td>
## <td style="text-align:right;"> 0.770 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysSalesOutstanding </td>
## <td style="text-align:right;"> 9 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 5.554500e+01 </td>
## <td style="text-align:right;"> 1.246630e+02 </td>
## <td style="text-align:right;"> 48.090 </td>
## <td style="text-align:right;"> 48.798 </td>
## <td style="text-align:right;"> 11.801 </td>
## <td style="text-align:right;"> -1.972370e+03 </td>
## <td style="text-align:right;"> 4.282780e+03 </td>
## <td style="text-align:right;"> 6.255150e+03 </td>
## <td style="text-align:right;"> 16.042 </td>
## <td style="text-align:right;"> 563.708 </td>
## <td style="text-align:right;"> 2.242000e+00 </td>
## <td style="text-align:right;"> 16.220 </td>
## <td style="text-align:right;"> 40.615 </td>
## <td style="text-align:right;"> 56.835 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> LaborCompRatio </td>
## <td style="text-align:right;"> 10 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 4.460000e-01 </td>
## <td style="text-align:right;"> 1.870000e-01 </td>
## <td style="text-align:right;"> 0.420 </td>
## <td style="text-align:right;"> 0.431 </td>
## <td style="text-align:right;"> 0.119 </td>
## <td style="text-align:right;"> 1.000000e-02 </td>
## <td style="text-align:right;"> 6.340000e+00 </td>
## <td style="text-align:right;"> 6.330000e+00 </td>
## <td style="text-align:right;"> 11.582 </td>
## <td style="text-align:right;"> 325.634 </td>
## <td style="text-align:right;"> 3.000000e-03 </td>
## <td style="text-align:right;"> 0.170 </td>
## <td style="text-align:right;"> 0.350 </td>
## <td style="text-align:right;"> 0.520 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OpProfitMargin </td>
## <td style="text-align:right;"> 11 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -3.200000e-02 </td>
## <td style="text-align:right;"> 3.310000e-01 </td>
## <td style="text-align:right;"> -0.010 </td>
## <td style="text-align:right;"> -0.006 </td>
## <td style="text-align:right;"> 0.119 </td>
## <td style="text-align:right;"> -1.046000e+01 </td>
## <td style="text-align:right;"> 8.000000e-01 </td>
## <td style="text-align:right;"> 1.126000e+01 </td>
## <td style="text-align:right;"> -15.674 </td>
## <td style="text-align:right;"> 415.862 </td>
## <td style="text-align:right;"> 6.000000e-03 </td>
## <td style="text-align:right;"> 0.150 </td>
## <td style="text-align:right;"> -0.080 </td>
## <td style="text-align:right;"> 0.070 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysCashOnHand </td>
## <td style="text-align:right;"> 12 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 4.967300e+01 </td>
## <td style="text-align:right;"> 1.372460e+02 </td>
## <td style="text-align:right;"> 13.550 </td>
## <td style="text-align:right;"> 27.074 </td>
## <td style="text-align:right;"> 20.119 </td>
## <td style="text-align:right;"> -7.541700e+02 </td>
## <td style="text-align:right;"> 3.060150e+03 </td>
## <td style="text-align:right;"> 3.814320e+03 </td>
## <td style="text-align:right;"> 8.684 </td>
## <td style="text-align:right;"> 126.562 </td>
## <td style="text-align:right;"> 2.469000e+00 </td>
## <td style="text-align:right;"> 56.560 </td>
## <td style="text-align:right;"> 0.160 </td>
## <td style="text-align:right;"> 56.720 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> BedUtil </td>
## <td style="text-align:right;"> 13 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 5.050000e-01 </td>
## <td style="text-align:right;"> 1.950000e-01 </td>
## <td style="text-align:right;"> 0.520 </td>
## <td style="text-align:right;"> 0.509 </td>
## <td style="text-align:right;"> 0.222 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> -0.167 </td>
## <td style="text-align:right;"> -0.683 </td>
## <td style="text-align:right;"> 4.000000e-03 </td>
## <td style="text-align:right;"> 0.300 </td>
## <td style="text-align:right;"> 0.360 </td>
## <td style="text-align:right;"> 0.660 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AdjPxDays </td>
## <td style="text-align:right;"> 14 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 9.086000e+00 </td>
## <td style="text-align:right;"> 1.000100e+01 </td>
## <td style="text-align:right;"> 6.101 </td>
## <td style="text-align:right;"> 7.236 </td>
## <td style="text-align:right;"> 5.812 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.258170e+02 </td>
## <td style="text-align:right;"> 1.258160e+02 </td>
## <td style="text-align:right;"> 3.156 </td>
## <td style="text-align:right;"> 17.536 </td>
## <td style="text-align:right;"> 1.800000e-01 </td>
## <td style="text-align:right;"> 8.993 </td>
## <td style="text-align:right;"> 2.764 </td>
## <td style="text-align:right;"> 11.757 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Alt1Ohls3 </td>
## <td style="text-align:right;"> 15 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -2.445801e+07 </td>
## <td style="text-align:right;"> 6.611608e+08 </td>
## <td style="text-align:right;"> 0.130 </td>
## <td style="text-align:right;"> 0.147 </td>
## <td style="text-align:right;"> 0.178 </td>
## <td style="text-align:right;"> -2.069512e+10 </td>
## <td style="text-align:right;"> 1.716643e+10 </td>
## <td style="text-align:right;"> 3.786155e+10 </td>
## <td style="text-align:right;"> -11.465 </td>
## <td style="text-align:right;"> 580.816 </td>
## <td style="text-align:right;"> 1.189207e+07 </td>
## <td style="text-align:right;"> 0.240 </td>
## <td style="text-align:right;"> 0.030 </td>
## <td style="text-align:right;"> 0.270 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX2 </td>
## <td style="text-align:right;"> 16 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -1.594501e+07 </td>
## <td style="text-align:right;"> 5.424914e+08 </td>
## <td style="text-align:right;"> 0.030 </td>
## <td style="text-align:right;"> 0.030 </td>
## <td style="text-align:right;"> 0.089 </td>
## <td style="text-align:right;"> -2.401988e+10 </td>
## <td style="text-align:right;"> 2.003558e+09 </td>
## <td style="text-align:right;"> 2.602344e+10 </td>
## <td style="text-align:right;"> -39.065 </td>
## <td style="text-align:right;"> 1591.579 </td>
## <td style="text-align:right;"> 9.757607e+06 </td>
## <td style="text-align:right;"> 0.120 </td>
## <td style="text-align:right;"> -0.030 </td>
## <td style="text-align:right;"> 0.090 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX3 </td>
## <td style="text-align:right;"> 17 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -4.899867e+06 </td>
## <td style="text-align:right;"> 1.415789e+08 </td>
## <td style="text-align:right;"> 0.050 </td>
## <td style="text-align:right;"> 0.055 </td>
## <td style="text-align:right;"> 0.119 </td>
## <td style="text-align:right;"> -6.057755e+09 </td>
## <td style="text-align:right;"> 1.405591e+09 </td>
## <td style="text-align:right;"> 7.463346e+09 </td>
## <td style="text-align:right;"> -32.437 </td>
## <td style="text-align:right;"> 1253.232 </td>
## <td style="text-align:right;"> 2.546531e+06 </td>
## <td style="text-align:right;"> 0.150 </td>
## <td style="text-align:right;"> -0.020 </td>
## <td style="text-align:right;"> 0.130 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX4 </td>
## <td style="text-align:right;"> 18 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.670101e+08 </td>
## <td style="text-align:right;"> 4.532672e+09 </td>
## <td style="text-align:right;"> 0.070 </td>
## <td style="text-align:right;"> 0.145 </td>
## <td style="text-align:right;"> 0.222 </td>
## <td style="text-align:right;"> -1.500000e+11 </td>
## <td style="text-align:right;"> 1.520000e+11 </td>
## <td style="text-align:right;"> 3.020000e+11 </td>
## <td style="text-align:right;"> 1.192 </td>
## <td style="text-align:right;"> 809.567 </td>
## <td style="text-align:right;"> 8.152762e+07 </td>
## <td style="text-align:right;"> 0.320 </td>
## <td style="text-align:right;"> -0.050 </td>
## <td style="text-align:right;"> 0.270 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX1 </td>
## <td style="text-align:right;"> 19 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.204300e+01 </td>
## <td style="text-align:right;"> 2.186000e+00 </td>
## <td style="text-align:right;"> 12.180 </td>
## <td style="text-align:right;"> 12.174 </td>
## <td style="text-align:right;"> 1.379 </td>
## <td style="text-align:right;"> -1.115000e+01 </td>
## <td style="text-align:right;"> 1.724000e+01 </td>
## <td style="text-align:right;"> 2.839000e+01 </td>
## <td style="text-align:right;"> -6.164 </td>
## <td style="text-align:right;"> 63.181 </td>
## <td style="text-align:right;"> 3.900000e-02 </td>
## <td style="text-align:right;"> 1.860 </td>
## <td style="text-align:right;"> 11.250 </td>
## <td style="text-align:right;"> 13.110 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX2 </td>
## <td style="text-align:right;"> 20 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -1.117245e+07 </td>
## <td style="text-align:right;"> 7.414641e+08 </td>
## <td style="text-align:right;"> 0.450 </td>
## <td style="text-align:right;"> 0.477 </td>
## <td style="text-align:right;"> 0.356 </td>
## <td style="text-align:right;"> -3.619138e+10 </td>
## <td style="text-align:right;"> 4.035141e+09 </td>
## <td style="text-align:right;"> 4.022652e+10 </td>
## <td style="text-align:right;"> -42.416 </td>
## <td style="text-align:right;"> 1954.265 </td>
## <td style="text-align:right;"> 1.333646e+07 </td>
## <td style="text-align:right;"> 0.480 </td>
## <td style="text-align:right;"> 0.230 </td>
## <td style="text-align:right;"> 0.710 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX4 </td>
## <td style="text-align:right;"> 21 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 4.800000e-01 </td>
## <td style="text-align:right;"> 1.206800e+01 </td>
## <td style="text-align:right;"> 0.490 </td>
## <td style="text-align:right;"> 0.571 </td>
## <td style="text-align:right;"> 0.341 </td>
## <td style="text-align:right;"> -6.426000e+02 </td>
## <td style="text-align:right;"> 8.697000e+01 </td>
## <td style="text-align:right;"> 7.295700e+02 </td>
## <td style="text-align:right;"> -48.788 </td>
## <td style="text-align:right;"> 2607.391 </td>
## <td style="text-align:right;"> 2.170000e-01 </td>
## <td style="text-align:right;"> 0.525 </td>
## <td style="text-align:right;"> 0.300 </td>
## <td style="text-align:right;"> 0.825 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX6 </td>
## <td style="text-align:right;"> 22 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -6.231568e+06 </td>
## <td style="text-align:right;"> 2.266328e+08 </td>
## <td style="text-align:right;"> 0.050 </td>
## <td style="text-align:right;"> 0.058 </td>
## <td style="text-align:right;"> 0.089 </td>
## <td style="text-align:right;"> -1.187764e+10 </td>
## <td style="text-align:right;"> 2.003558e+09 </td>
## <td style="text-align:right;"> 1.388120e+10 </td>
## <td style="text-align:right;"> -46.901 </td>
## <td style="text-align:right;"> 2440.063 </td>
## <td style="text-align:right;"> 4.076366e+06 </td>
## <td style="text-align:right;"> 0.120 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.120 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX7 </td>
## <td style="text-align:right;"> 23 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.863766e+08 </td>
## <td style="text-align:right;"> 2.552897e+09 </td>
## <td style="text-align:right;"> 0.100 </td>
## <td style="text-align:right;"> 0.260 </td>
## <td style="text-align:right;"> 0.282 </td>
## <td style="text-align:right;"> -1.000000e+11 </td>
## <td style="text-align:right;"> 2.906021e+10 </td>
## <td style="text-align:right;"> 1.290602e+11 </td>
## <td style="text-align:right;"> -17.419 </td>
## <td style="text-align:right;"> 787.168 </td>
## <td style="text-align:right;"> 4.591809e+07 </td>
## <td style="text-align:right;"> 0.450 </td>
## <td style="text-align:right;"> -0.040 </td>
## <td style="text-align:right;"> 0.410 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX9 </td>
## <td style="text-align:right;"> 24 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.145670e+07 </td>
## <td style="text-align:right;"> 1.251940e+08 </td>
## <td style="text-align:right;"> 3001155.000 </td>
## <td style="text-align:right;"> 7700594.968 </td>
## <td style="text-align:right;"> 13458012.393 </td>
## <td style="text-align:right;"> -1.778187e+09 </td>
## <td style="text-align:right;"> 2.986955e+09 </td>
## <td style="text-align:right;"> 4.765142e+09 </td>
## <td style="text-align:right;"> 2.781 </td>
## <td style="text-align:right;"> 166.962 </td>
## <td style="text-align:right;"> 2.251822e+06 </td>
## <td style="text-align:right;"> 21045168.000 </td>
## <td style="text-align:right;"> -2291779.000 </td>
## <td style="text-align:right;"> 18753389.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX5 </td>
## <td style="text-align:right;"> 25 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.900000e-01 </td>
## <td style="text-align:right;"> 3.920000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.112 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.580 </td>
## <td style="text-align:right;"> 0.498 </td>
## <td style="text-align:right;"> 7.000000e-03 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX8 </td>
## <td style="text-align:right;"> 26 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.590000e-01 </td>
## <td style="text-align:right;"> 4.380000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.199 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.099 </td>
## <td style="text-align:right;"> -0.793 </td>
## <td style="text-align:right;"> 8.000000e-03 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Govt </td>
## <td style="text-align:right;"> 27 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.420000e-01 </td>
## <td style="text-align:right;"> 3.490000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.053 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 2.050 </td>
## <td style="text-align:right;"> 2.203 </td>
## <td style="text-align:right;"> 6.000000e-03 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Urban </td>
## <td style="text-align:right;"> 28 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.030000e-01 </td>
## <td style="text-align:right;"> 3.030000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.003 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 2.619 </td>
## <td style="text-align:right;"> 4.860 </td>
## <td style="text-align:right;"> 5.000000e-03 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> ForProfit </td>
## <td style="text-align:right;"> 29 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.370000e-01 </td>
## <td style="text-align:right;"> 4.250000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.171 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.235 </td>
## <td style="text-align:right;"> -0.474 </td>
## <td style="text-align:right;"> 8.000000e-03 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> HC1 </td>
## <td style="text-align:right;"> 30 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 5.700000e-02 </td>
## <td style="text-align:right;"> 2.320000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 3.822 </td>
## <td style="text-align:right;"> 12.613 </td>
## <td style="text-align:right;"> 4.000000e-03 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> HC2 </td>
## <td style="text-align:right;"> 31 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.970000e-01 </td>
## <td style="text-align:right;"> 3.980000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.121 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.525 </td>
## <td style="text-align:right;"> 0.327 </td>
## <td style="text-align:right;"> 7.000000e-03 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> HC4 </td>
## <td style="text-align:right;"> 32 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.460000e-01 </td>
## <td style="text-align:right;"> 4.300000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.182 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.182 </td>
## <td style="text-align:right;"> -0.604 </td>
## <td style="text-align:right;"> 8.000000e-03 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> HC5 </td>
## <td style="text-align:right;"> 33 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.230000e-01 </td>
## <td style="text-align:right;"> 3.280000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.028 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 2.300 </td>
## <td style="text-align:right;"> 3.291 </td>
## <td style="text-align:right;"> 6.000000e-03 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AR_by_OpIncome.y.1. </td>
## <td style="text-align:right;"> 34 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 3.751000e+00 </td>
## <td style="text-align:right;"> 2.534000e+00 </td>
## <td style="text-align:right;"> 4.135 </td>
## <td style="text-align:right;"> 3.691 </td>
## <td style="text-align:right;"> 3.176 </td>
## <td style="text-align:right;"> 2.000000e-03 </td>
## <td style="text-align:right;"> 8.603000e+00 </td>
## <td style="text-align:right;"> 8.601000e+00 </td>
## <td style="text-align:right;"> 0.044 </td>
## <td style="text-align:right;"> -1.121 </td>
## <td style="text-align:right;"> 4.600000e-02 </td>
## <td style="text-align:right;"> 4.310 </td>
## <td style="text-align:right;"> 1.494 </td>
## <td style="text-align:right;"> 5.803 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> FB_Plus_OpInc_ByFB.y.1. </td>
## <td style="text-align:right;"> 35 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.753000e+00 </td>
## <td style="text-align:right;"> 2.970500e+01 </td>
## <td style="text-align:right;"> 1.020 </td>
## <td style="text-align:right;"> 1.023 </td>
## <td style="text-align:right;"> 0.193 </td>
## <td style="text-align:right;"> -2.297900e+02 </td>
## <td style="text-align:right;"> 1.378650e+03 </td>
## <td style="text-align:right;"> 1.608440e+03 </td>
## <td style="text-align:right;"> 36.382 </td>
## <td style="text-align:right;"> 1578.776 </td>
## <td style="text-align:right;"> 5.340000e-01 </td>
## <td style="text-align:right;"> 0.260 </td>
## <td style="text-align:right;"> 0.890 </td>
## <td style="text-align:right;"> 1.150 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PercentMedicaidDays.y.1. </td>
## <td style="text-align:right;"> 36 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 8.800000e-02 </td>
## <td style="text-align:right;"> 9.200000e-02 </td>
## <td style="text-align:right;"> 0.060 </td>
## <td style="text-align:right;"> 0.071 </td>
## <td style="text-align:right;"> 0.044 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 9.800000e-01 </td>
## <td style="text-align:right;"> 9.800000e-01 </td>
## <td style="text-align:right;"> 2.845 </td>
## <td style="text-align:right;"> 13.222 </td>
## <td style="text-align:right;"> 2.000000e-03 </td>
## <td style="text-align:right;"> 0.080 </td>
## <td style="text-align:right;"> 0.030 </td>
## <td style="text-align:right;"> 0.110 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PercentMedicareDays.y.1. </td>
## <td style="text-align:right;"> 37 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 3.070000e-01 </td>
## <td style="text-align:right;"> 1.100000e-01 </td>
## <td style="text-align:right;"> 0.300 </td>
## <td style="text-align:right;"> 0.302 </td>
## <td style="text-align:right;"> 0.104 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 8.700000e-01 </td>
## <td style="text-align:right;"> 8.700000e-01 </td>
## <td style="text-align:right;"> 0.529 </td>
## <td style="text-align:right;"> 1.161 </td>
## <td style="text-align:right;"> 2.000000e-03 </td>
## <td style="text-align:right;"> 0.130 </td>
## <td style="text-align:right;"> 0.240 </td>
## <td style="text-align:right;"> 0.370 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> CurrentRatio.y.1. </td>
## <td style="text-align:right;"> 38 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 3.142000e+00 </td>
## <td style="text-align:right;"> 3.442600e+01 </td>
## <td style="text-align:right;"> 1.880 </td>
## <td style="text-align:right;"> 2.055 </td>
## <td style="text-align:right;"> 1.349 </td>
## <td style="text-align:right;"> -7.873100e+02 </td>
## <td style="text-align:right;"> 1.482250e+03 </td>
## <td style="text-align:right;"> 2.269560e+03 </td>
## <td style="text-align:right;"> 23.815 </td>
## <td style="text-align:right;"> 1217.626 </td>
## <td style="text-align:right;"> 6.190000e-01 </td>
## <td style="text-align:right;"> 1.920 </td>
## <td style="text-align:right;"> 1.100 </td>
## <td style="text-align:right;"> 3.020 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Debt2Equity.y.1. </td>
## <td style="text-align:right;"> 39 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.939000e+00 </td>
## <td style="text-align:right;"> 1.013940e+02 </td>
## <td style="text-align:right;"> 0.320 </td>
## <td style="text-align:right;"> 0.418 </td>
## <td style="text-align:right;"> 0.474 </td>
## <td style="text-align:right;"> -6.275700e+02 </td>
## <td style="text-align:right;"> 4.467920e+03 </td>
## <td style="text-align:right;"> 5.095490e+03 </td>
## <td style="text-align:right;"> 35.010 </td>
## <td style="text-align:right;"> 1386.138 </td>
## <td style="text-align:right;"> 1.824000e+00 </td>
## <td style="text-align:right;"> 0.790 </td>
## <td style="text-align:right;"> 0.020 </td>
## <td style="text-align:right;"> 0.810 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysSalesOutstanding.y.1. </td>
## <td style="text-align:right;"> 40 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 5.568200e+01 </td>
## <td style="text-align:right;"> 1.133490e+02 </td>
## <td style="text-align:right;"> 48.260 </td>
## <td style="text-align:right;"> 48.966 </td>
## <td style="text-align:right;"> 11.920 </td>
## <td style="text-align:right;"> -1.647780e+03 </td>
## <td style="text-align:right;"> 3.816810e+03 </td>
## <td style="text-align:right;"> 5.464590e+03 </td>
## <td style="text-align:right;"> 16.276 </td>
## <td style="text-align:right;"> 545.213 </td>
## <td style="text-align:right;"> 2.039000e+00 </td>
## <td style="text-align:right;"> 16.200 </td>
## <td style="text-align:right;"> 40.825 </td>
## <td style="text-align:right;"> 57.025 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> LaborCompRatio.y.1. </td>
## <td style="text-align:right;"> 41 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 4.400000e-01 </td>
## <td style="text-align:right;"> 1.460000e-01 </td>
## <td style="text-align:right;"> 0.420 </td>
## <td style="text-align:right;"> 0.428 </td>
## <td style="text-align:right;"> 0.119 </td>
## <td style="text-align:right;"> -4.900000e-01 </td>
## <td style="text-align:right;"> 1.970000e+00 </td>
## <td style="text-align:right;"> 2.460000e+00 </td>
## <td style="text-align:right;"> 1.687 </td>
## <td style="text-align:right;"> 9.918 </td>
## <td style="text-align:right;"> 3.000000e-03 </td>
## <td style="text-align:right;"> 0.160 </td>
## <td style="text-align:right;"> 0.350 </td>
## <td style="text-align:right;"> 0.510 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OpProfitMargin.y.1. </td>
## <td style="text-align:right;"> 42 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -2.400000e-02 </td>
## <td style="text-align:right;"> 2.600000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> -0.004 </td>
## <td style="text-align:right;"> 0.104 </td>
## <td style="text-align:right;"> -6.890000e+00 </td>
## <td style="text-align:right;"> 3.420000e+00 </td>
## <td style="text-align:right;"> 1.031000e+01 </td>
## <td style="text-align:right;"> -7.537 </td>
## <td style="text-align:right;"> 180.895 </td>
## <td style="text-align:right;"> 5.000000e-03 </td>
## <td style="text-align:right;"> 0.150 </td>
## <td style="text-align:right;"> -0.080 </td>
## <td style="text-align:right;"> 0.070 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysCashOnHand.y.1. </td>
## <td style="text-align:right;"> 43 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 4.773100e+01 </td>
## <td style="text-align:right;"> 1.286470e+02 </td>
## <td style="text-align:right;"> 13.420 </td>
## <td style="text-align:right;"> 26.208 </td>
## <td style="text-align:right;"> 19.956 </td>
## <td style="text-align:right;"> -1.292660e+03 </td>
## <td style="text-align:right;"> 2.814090e+03 </td>
## <td style="text-align:right;"> 4.106750e+03 </td>
## <td style="text-align:right;"> 7.217 </td>
## <td style="text-align:right;"> 111.102 </td>
## <td style="text-align:right;"> 2.314000e+00 </td>
## <td style="text-align:right;"> 53.600 </td>
## <td style="text-align:right;"> 0.160 </td>
## <td style="text-align:right;"> 53.760 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> BedUtil.y.1. </td>
## <td style="text-align:right;"> 44 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 5.070000e-01 </td>
## <td style="text-align:right;"> 1.940000e-01 </td>
## <td style="text-align:right;"> 0.520 </td>
## <td style="text-align:right;"> 0.511 </td>
## <td style="text-align:right;"> 0.208 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> -0.196 </td>
## <td style="text-align:right;"> -0.646 </td>
## <td style="text-align:right;"> 3.000000e-03 </td>
## <td style="text-align:right;"> 0.290 </td>
## <td style="text-align:right;"> 0.360 </td>
## <td style="text-align:right;"> 0.650 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AdjPxDays.y.1. </td>
## <td style="text-align:right;"> 45 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 8.918000e+00 </td>
## <td style="text-align:right;"> 9.802000e+00 </td>
## <td style="text-align:right;"> 5.984 </td>
## <td style="text-align:right;"> 7.140 </td>
## <td style="text-align:right;"> 5.728 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.415590e+02 </td>
## <td style="text-align:right;"> 1.415590e+02 </td>
## <td style="text-align:right;"> 3.393 </td>
## <td style="text-align:right;"> 22.328 </td>
## <td style="text-align:right;"> 1.760000e-01 </td>
## <td style="text-align:right;"> 8.866 </td>
## <td style="text-align:right;"> 2.772 </td>
## <td style="text-align:right;"> 11.638 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Alt1Ohls3.y.1. </td>
## <td style="text-align:right;"> 46 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -1.830442e+07 </td>
## <td style="text-align:right;"> 4.335052e+08 </td>
## <td style="text-align:right;"> 0.140 </td>
## <td style="text-align:right;"> 0.153 </td>
## <td style="text-align:right;"> 0.163 </td>
## <td style="text-align:right;"> -1.393858e+10 </td>
## <td style="text-align:right;"> 3.015305e+08 </td>
## <td style="text-align:right;"> 1.424011e+10 </td>
## <td style="text-align:right;"> -26.671 </td>
## <td style="text-align:right;"> 751.136 </td>
## <td style="text-align:right;"> 7.797309e+06 </td>
## <td style="text-align:right;"> 0.230 </td>
## <td style="text-align:right;"> 0.040 </td>
## <td style="text-align:right;"> 0.270 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX2.y.1. </td>
## <td style="text-align:right;"> 47 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -6.227984e+06 </td>
## <td style="text-align:right;"> 2.560468e+08 </td>
## <td style="text-align:right;"> 0.030 </td>
## <td style="text-align:right;"> 0.024 </td>
## <td style="text-align:right;"> 0.089 </td>
## <td style="text-align:right;"> -1.398103e+10 </td>
## <td style="text-align:right;"> 2.097515e+08 </td>
## <td style="text-align:right;"> 1.419078e+10 </td>
## <td style="text-align:right;"> -52.811 </td>
## <td style="text-align:right;"> 2869.188 </td>
## <td style="text-align:right;"> 4.605427e+06 </td>
## <td style="text-align:right;"> 0.120 </td>
## <td style="text-align:right;"> -0.040 </td>
## <td style="text-align:right;"> 0.080 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX3.y.1. </td>
## <td style="text-align:right;"> 48 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -9.458751e+05 </td>
## <td style="text-align:right;"> 3.631657e+07 </td>
## <td style="text-align:right;"> 0.050 </td>
## <td style="text-align:right;"> 0.057 </td>
## <td style="text-align:right;"> 0.104 </td>
## <td style="text-align:right;"> -1.542306e+09 </td>
## <td style="text-align:right;"> 5.250694e+08 </td>
## <td style="text-align:right;"> 2.067376e+09 </td>
## <td style="text-align:right;"> -27.923 </td>
## <td style="text-align:right;"> 1163.578 </td>
## <td style="text-align:right;"> 6.532137e+05 </td>
## <td style="text-align:right;"> 0.140 </td>
## <td style="text-align:right;"> -0.010 </td>
## <td style="text-align:right;"> 0.130 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX4.y.1. </td>
## <td style="text-align:right;"> 49 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.407713e+08 </td>
## <td style="text-align:right;"> 1.653409e+09 </td>
## <td style="text-align:right;"> 0.060 </td>
## <td style="text-align:right;"> 0.129 </td>
## <td style="text-align:right;"> 0.222 </td>
## <td style="text-align:right;"> -2.914540e+10 </td>
## <td style="text-align:right;"> 2.825674e+10 </td>
## <td style="text-align:right;"> 5.740214e+10 </td>
## <td style="text-align:right;"> 4.879 </td>
## <td style="text-align:right;"> 117.196 </td>
## <td style="text-align:right;"> 2.973930e+07 </td>
## <td style="text-align:right;"> 0.305 </td>
## <td style="text-align:right;"> -0.070 </td>
## <td style="text-align:right;"> 0.235 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX1.y.1. </td>
## <td style="text-align:right;"> 50 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.204400e+01 </td>
## <td style="text-align:right;"> 1.922000e+00 </td>
## <td style="text-align:right;"> 12.160 </td>
## <td style="text-align:right;"> 12.140 </td>
## <td style="text-align:right;"> 1.364 </td>
## <td style="text-align:right;"> -1.115000e+01 </td>
## <td style="text-align:right;"> 1.712000e+01 </td>
## <td style="text-align:right;"> 2.827000e+01 </td>
## <td style="text-align:right;"> -5.697 </td>
## <td style="text-align:right;"> 66.498 </td>
## <td style="text-align:right;"> 3.500000e-02 </td>
## <td style="text-align:right;"> 1.840 </td>
## <td style="text-align:right;"> 11.230 </td>
## <td style="text-align:right;"> 13.070 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX2.y.1. </td>
## <td style="text-align:right;"> 51 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 3.953532e+06 </td>
## <td style="text-align:right;"> 1.016720e+08 </td>
## <td style="text-align:right;"> 0.450 </td>
## <td style="text-align:right;"> 0.478 </td>
## <td style="text-align:right;"> 0.356 </td>
## <td style="text-align:right;"> -2.483980e+07 </td>
## <td style="text-align:right;"> 3.917888e+09 </td>
## <td style="text-align:right;"> 3.942728e+09 </td>
## <td style="text-align:right;"> 31.669 </td>
## <td style="text-align:right;"> 1077.727 </td>
## <td style="text-align:right;"> 1.828740e+06 </td>
## <td style="text-align:right;"> 0.470 </td>
## <td style="text-align:right;"> 0.240 </td>
## <td style="text-align:right;"> 0.710 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX4.y.1. </td>
## <td style="text-align:right;"> 52 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 5.580000e-01 </td>
## <td style="text-align:right;"> 4.706000e+00 </td>
## <td style="text-align:right;"> 0.490 </td>
## <td style="text-align:right;"> 0.549 </td>
## <td style="text-align:right;"> 0.341 </td>
## <td style="text-align:right;"> -1.835000e+02 </td>
## <td style="text-align:right;"> 7.136000e+01 </td>
## <td style="text-align:right;"> 2.548600e+02 </td>
## <td style="text-align:right;"> -19.581 </td>
## <td style="text-align:right;"> 814.948 </td>
## <td style="text-align:right;"> 8.500000e-02 </td>
## <td style="text-align:right;"> 0.500 </td>
## <td style="text-align:right;"> 0.290 </td>
## <td style="text-align:right;"> 0.790 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX6.y.1. </td>
## <td style="text-align:right;"> 53 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -1.301918e+06 </td>
## <td style="text-align:right;"> 4.022901e+07 </td>
## <td style="text-align:right;"> 0.040 </td>
## <td style="text-align:right;"> 0.052 </td>
## <td style="text-align:right;"> 0.089 </td>
## <td style="text-align:right;"> -1.789527e+09 </td>
## <td style="text-align:right;"> 2.097517e+08 </td>
## <td style="text-align:right;"> 1.999279e+09 </td>
## <td style="text-align:right;"> -34.796 </td>
## <td style="text-align:right;"> 1399.900 </td>
## <td style="text-align:right;"> 7.235855e+05 </td>
## <td style="text-align:right;"> 0.120 </td>
## <td style="text-align:right;"> -0.010 </td>
## <td style="text-align:right;"> 0.110 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX7.y.1. </td>
## <td style="text-align:right;"> 54 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 3.029585e+08 </td>
## <td style="text-align:right;"> 1.706703e+09 </td>
## <td style="text-align:right;"> 0.100 </td>
## <td style="text-align:right;"> 0.265 </td>
## <td style="text-align:right;"> 0.267 </td>
## <td style="text-align:right;"> -2.396372e+10 </td>
## <td style="text-align:right;"> 2.558153e+10 </td>
## <td style="text-align:right;"> 4.954525e+10 </td>
## <td style="text-align:right;"> 5.912 </td>
## <td style="text-align:right;"> 76.563 </td>
## <td style="text-align:right;"> 3.069789e+07 </td>
## <td style="text-align:right;"> 0.430 </td>
## <td style="text-align:right;"> -0.030 </td>
## <td style="text-align:right;"> 0.400 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX9.y.1. </td>
## <td style="text-align:right;"> 55 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 8.619685e+06 </td>
## <td style="text-align:right;"> 1.313818e+08 </td>
## <td style="text-align:right;"> 2774170.000 </td>
## <td style="text-align:right;"> 6377426.742 </td>
## <td style="text-align:right;"> 12048694.346 </td>
## <td style="text-align:right;"> -1.308272e+09 </td>
## <td style="text-align:right;"> 5.228494e+09 </td>
## <td style="text-align:right;"> 6.536766e+09 </td>
## <td style="text-align:right;"> 20.276 </td>
## <td style="text-align:right;"> 827.469 </td>
## <td style="text-align:right;"> 2.363120e+06 </td>
## <td style="text-align:right;"> 18863185.500 </td>
## <td style="text-align:right;"> -2832161.500 </td>
## <td style="text-align:right;"> 16031024.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX5.y.1. </td>
## <td style="text-align:right;"> 56 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.760000e-01 </td>
## <td style="text-align:right;"> 3.810000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.095 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.701 </td>
## <td style="text-align:right;"> 0.893 </td>
## <td style="text-align:right;"> 7.000000e-03 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX8.y.1. </td>
## <td style="text-align:right;"> 57 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.670000e-01 </td>
## <td style="text-align:right;"> 4.420000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.209 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.053 </td>
## <td style="text-align:right;"> -0.891 </td>
## <td style="text-align:right;"> 8.000000e-03 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> HC4_5.y.1. </td>
## <td style="text-align:right;"> 58 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 3.680000e-01 </td>
## <td style="text-align:right;"> 4.820000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.335 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 0.546 </td>
## <td style="text-align:right;"> -1.702 </td>
## <td style="text-align:right;"> 9.000000e-03 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AR_by_OpIncome.y.2. </td>
## <td style="text-align:right;"> 59 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 3.881000e+00 </td>
## <td style="text-align:right;"> 2.543000e+00 </td>
## <td style="text-align:right;"> 4.315 </td>
## <td style="text-align:right;"> 3.840 </td>
## <td style="text-align:right;"> 3.025 </td>
## <td style="text-align:right;"> 6.000000e-03 </td>
## <td style="text-align:right;"> 8.604000e+00 </td>
## <td style="text-align:right;"> 8.598000e+00 </td>
## <td style="text-align:right;"> 0.006 </td>
## <td style="text-align:right;"> -1.109 </td>
## <td style="text-align:right;"> 4.600000e-02 </td>
## <td style="text-align:right;"> 4.314 </td>
## <td style="text-align:right;"> 1.529 </td>
## <td style="text-align:right;"> 5.843 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> FB_Plus_OpInc_ByFB.y.2. </td>
## <td style="text-align:right;"> 60 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 9.510000e-01 </td>
## <td style="text-align:right;"> 1.107700e+01 </td>
## <td style="text-align:right;"> 1.020 </td>
## <td style="text-align:right;"> 1.021 </td>
## <td style="text-align:right;"> 0.178 </td>
## <td style="text-align:right;"> -3.264500e+02 </td>
## <td style="text-align:right;"> 4.451800e+02 </td>
## <td style="text-align:right;"> 7.716300e+02 </td>
## <td style="text-align:right;"> 10.581 </td>
## <td style="text-align:right;"> 1117.860 </td>
## <td style="text-align:right;"> 1.990000e-01 </td>
## <td style="text-align:right;"> 0.240 </td>
## <td style="text-align:right;"> 0.900 </td>
## <td style="text-align:right;"> 1.140 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PercentMedicaidDays.y.2. </td>
## <td style="text-align:right;"> 61 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 8.800000e-02 </td>
## <td style="text-align:right;"> 9.200000e-02 </td>
## <td style="text-align:right;"> 0.060 </td>
## <td style="text-align:right;"> 0.071 </td>
## <td style="text-align:right;"> 0.044 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 9.800000e-01 </td>
## <td style="text-align:right;"> 9.800000e-01 </td>
## <td style="text-align:right;"> 2.845 </td>
## <td style="text-align:right;"> 13.222 </td>
## <td style="text-align:right;"> 2.000000e-03 </td>
## <td style="text-align:right;"> 0.080 </td>
## <td style="text-align:right;"> 0.030 </td>
## <td style="text-align:right;"> 0.110 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PercentMedicareDays.y.2. </td>
## <td style="text-align:right;"> 62 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 3.070000e-01 </td>
## <td style="text-align:right;"> 1.100000e-01 </td>
## <td style="text-align:right;"> 0.300 </td>
## <td style="text-align:right;"> 0.302 </td>
## <td style="text-align:right;"> 0.104 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 8.700000e-01 </td>
## <td style="text-align:right;"> 8.700000e-01 </td>
## <td style="text-align:right;"> 0.529 </td>
## <td style="text-align:right;"> 1.161 </td>
## <td style="text-align:right;"> 2.000000e-03 </td>
## <td style="text-align:right;"> 0.130 </td>
## <td style="text-align:right;"> 0.240 </td>
## <td style="text-align:right;"> 0.370 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> CurrentRatio.y.2. </td>
## <td style="text-align:right;"> 63 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 4.352000e+00 </td>
## <td style="text-align:right;"> 7.997500e+01 </td>
## <td style="text-align:right;"> 1.940 </td>
## <td style="text-align:right;"> 2.127 </td>
## <td style="text-align:right;"> 1.320 </td>
## <td style="text-align:right;"> -9.944000e+01 </td>
## <td style="text-align:right;"> 4.418520e+03 </td>
## <td style="text-align:right;"> 4.517960e+03 </td>
## <td style="text-align:right;"> 54.427 </td>
## <td style="text-align:right;"> 2999.590 </td>
## <td style="text-align:right;"> 1.438000e+00 </td>
## <td style="text-align:right;"> 1.850 </td>
## <td style="text-align:right;"> 1.180 </td>
## <td style="text-align:right;"> 3.030 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Debt2Equity.y.2. </td>
## <td style="text-align:right;"> 64 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -1.009000e+00 </td>
## <td style="text-align:right;"> 7.720200e+01 </td>
## <td style="text-align:right;"> 0.320 </td>
## <td style="text-align:right;"> 0.428 </td>
## <td style="text-align:right;"> 0.474 </td>
## <td style="text-align:right;"> -3.255210e+03 </td>
## <td style="text-align:right;"> 4.554200e+02 </td>
## <td style="text-align:right;"> 3.710630e+03 </td>
## <td style="text-align:right;"> -37.668 </td>
## <td style="text-align:right;"> 1489.002 </td>
## <td style="text-align:right;"> 1.389000e+00 </td>
## <td style="text-align:right;"> 0.780 </td>
## <td style="text-align:right;"> 0.030 </td>
## <td style="text-align:right;"> 0.810 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysSalesOutstanding.y.2. </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 5.619500e+01 </td>
## <td style="text-align:right;"> 9.183000e+01 </td>
## <td style="text-align:right;"> 48.960 </td>
## <td style="text-align:right;"> 49.927 </td>
## <td style="text-align:right;"> 12.661 </td>
## <td style="text-align:right;"> -1.931850e+03 </td>
## <td style="text-align:right;"> 2.455250e+03 </td>
## <td style="text-align:right;"> 4.387100e+03 </td>
## <td style="text-align:right;"> 6.539 </td>
## <td style="text-align:right;"> 336.426 </td>
## <td style="text-align:right;"> 1.652000e+00 </td>
## <td style="text-align:right;"> 17.195 </td>
## <td style="text-align:right;"> 41.055 </td>
## <td style="text-align:right;"> 58.250 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> LaborCompRatio.y.2. </td>
## <td style="text-align:right;"> 66 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 4.370000e-01 </td>
## <td style="text-align:right;"> 1.650000e-01 </td>
## <td style="text-align:right;"> 0.420 </td>
## <td style="text-align:right;"> 0.425 </td>
## <td style="text-align:right;"> 0.119 </td>
## <td style="text-align:right;"> -1.990000e+00 </td>
## <td style="text-align:right;"> 4.580000e+00 </td>
## <td style="text-align:right;"> 6.570000e+00 </td>
## <td style="text-align:right;"> 5.217 </td>
## <td style="text-align:right;"> 147.834 </td>
## <td style="text-align:right;"> 3.000000e-03 </td>
## <td style="text-align:right;"> 0.150 </td>
## <td style="text-align:right;"> 0.350 </td>
## <td style="text-align:right;"> 0.500 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OpProfitMargin.y.2. </td>
## <td style="text-align:right;"> 67 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -2.300000e-02 </td>
## <td style="text-align:right;"> 3.190000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> -0.001 </td>
## <td style="text-align:right;"> 0.104 </td>
## <td style="text-align:right;"> -9.570000e+00 </td>
## <td style="text-align:right;"> 8.190000e+00 </td>
## <td style="text-align:right;"> 1.776000e+01 </td>
## <td style="text-align:right;"> -4.515 </td>
## <td style="text-align:right;"> 407.074 </td>
## <td style="text-align:right;"> 6.000000e-03 </td>
## <td style="text-align:right;"> 0.140 </td>
## <td style="text-align:right;"> -0.070 </td>
## <td style="text-align:right;"> 0.070 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysCashOnHand.y.2. </td>
## <td style="text-align:right;"> 68 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 4.358000e+01 </td>
## <td style="text-align:right;"> 1.194100e+02 </td>
## <td style="text-align:right;"> 12.980 </td>
## <td style="text-align:right;"> 24.336 </td>
## <td style="text-align:right;"> 19.244 </td>
## <td style="text-align:right;"> -1.576700e+03 </td>
## <td style="text-align:right;"> 2.385800e+03 </td>
## <td style="text-align:right;"> 3.962500e+03 </td>
## <td style="text-align:right;"> 6.072 </td>
## <td style="text-align:right;"> 98.138 </td>
## <td style="text-align:right;"> 2.148000e+00 </td>
## <td style="text-align:right;"> 48.970 </td>
## <td style="text-align:right;"> 0.150 </td>
## <td style="text-align:right;"> 49.120 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> BedUtil.y.2. </td>
## <td style="text-align:right;"> 69 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 5.100000e-01 </td>
## <td style="text-align:right;"> 1.920000e-01 </td>
## <td style="text-align:right;"> 0.520 </td>
## <td style="text-align:right;"> 0.515 </td>
## <td style="text-align:right;"> 0.208 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> -0.205 </td>
## <td style="text-align:right;"> -0.591 </td>
## <td style="text-align:right;"> 3.000000e-03 </td>
## <td style="text-align:right;"> 0.290 </td>
## <td style="text-align:right;"> 0.370 </td>
## <td style="text-align:right;"> 0.660 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AdjPxDays.y.2. </td>
## <td style="text-align:right;"> 70 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 8.814000e+00 </td>
## <td style="text-align:right;"> 9.624000e+00 </td>
## <td style="text-align:right;"> 5.905 </td>
## <td style="text-align:right;"> 7.083 </td>
## <td style="text-align:right;"> 5.541 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.372550e+02 </td>
## <td style="text-align:right;"> 1.372550e+02 </td>
## <td style="text-align:right;"> 3.417 </td>
## <td style="text-align:right;"> 22.603 </td>
## <td style="text-align:right;"> 1.730000e-01 </td>
## <td style="text-align:right;"> 8.741 </td>
## <td style="text-align:right;"> 2.797 </td>
## <td style="text-align:right;"> 11.538 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Alt1Ohls3.y.2. </td>
## <td style="text-align:right;"> 71 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -2.216925e+07 </td>
## <td style="text-align:right;"> 4.377270e+08 </td>
## <td style="text-align:right;"> 0.140 </td>
## <td style="text-align:right;"> 0.156 </td>
## <td style="text-align:right;"> 0.163 </td>
## <td style="text-align:right;"> -1.303108e+10 </td>
## <td style="text-align:right;"> 1.546664e+09 </td>
## <td style="text-align:right;"> 1.457774e+10 </td>
## <td style="text-align:right;"> -23.201 </td>
## <td style="text-align:right;"> 590.735 </td>
## <td style="text-align:right;"> 7.873246e+06 </td>
## <td style="text-align:right;"> 0.220 </td>
## <td style="text-align:right;"> 0.050 </td>
## <td style="text-align:right;"> 0.270 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX2.y.2. </td>
## <td style="text-align:right;"> 72 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -4.075977e+07 </td>
## <td style="text-align:right;"> 1.380976e+09 </td>
## <td style="text-align:right;"> 0.020 </td>
## <td style="text-align:right;"> 0.025 </td>
## <td style="text-align:right;"> 0.074 </td>
## <td style="text-align:right;"> -5.695970e+10 </td>
## <td style="text-align:right;"> 1.100960e+09 </td>
## <td style="text-align:right;"> 5.806066e+10 </td>
## <td style="text-align:right;"> -37.286 </td>
## <td style="text-align:right;"> 1432.076 </td>
## <td style="text-align:right;"> 2.483914e+07 </td>
## <td style="text-align:right;"> 0.110 </td>
## <td style="text-align:right;"> -0.030 </td>
## <td style="text-align:right;"> 0.080 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX3.y.2. </td>
## <td style="text-align:right;"> 73 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -5.964158e+05 </td>
## <td style="text-align:right;"> 1.231702e+08 </td>
## <td style="text-align:right;"> 0.050 </td>
## <td style="text-align:right;"> 0.060 </td>
## <td style="text-align:right;"> 0.104 </td>
## <td style="text-align:right;"> -3.464660e+09 </td>
## <td style="text-align:right;"> 4.765823e+09 </td>
## <td style="text-align:right;"> 8.230483e+09 </td>
## <td style="text-align:right;"> 9.279 </td>
## <td style="text-align:right;"> 980.994 </td>
## <td style="text-align:right;"> 2.215421e+06 </td>
## <td style="text-align:right;"> 0.140 </td>
## <td style="text-align:right;"> -0.010 </td>
## <td style="text-align:right;"> 0.130 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX4.y.2. </td>
## <td style="text-align:right;"> 74 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.854853e+08 </td>
## <td style="text-align:right;"> 3.993410e+09 </td>
## <td style="text-align:right;"> 0.040 </td>
## <td style="text-align:right;"> 0.117 </td>
## <td style="text-align:right;"> 0.193 </td>
## <td style="text-align:right;"> -1.540000e+11 </td>
## <td style="text-align:right;"> 1.140000e+11 </td>
## <td style="text-align:right;"> 2.680000e+11 </td>
## <td style="text-align:right;"> -12.378 </td>
## <td style="text-align:right;"> 959.078 </td>
## <td style="text-align:right;"> 7.182810e+07 </td>
## <td style="text-align:right;"> 0.280 </td>
## <td style="text-align:right;"> -0.050 </td>
## <td style="text-align:right;"> 0.230 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX1.y.2. </td>
## <td style="text-align:right;"> 75 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.197000e+01 </td>
## <td style="text-align:right;"> 2.162000e+00 </td>
## <td style="text-align:right;"> 12.130 </td>
## <td style="text-align:right;"> 12.108 </td>
## <td style="text-align:right;"> 1.334 </td>
## <td style="text-align:right;"> -1.115000e+01 </td>
## <td style="text-align:right;"> 1.700000e+01 </td>
## <td style="text-align:right;"> 2.815000e+01 </td>
## <td style="text-align:right;"> -6.307 </td>
## <td style="text-align:right;"> 65.182 </td>
## <td style="text-align:right;"> 3.900000e-02 </td>
## <td style="text-align:right;"> 1.800 </td>
## <td style="text-align:right;"> 11.220 </td>
## <td style="text-align:right;"> 13.020 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX2.y.2. </td>
## <td style="text-align:right;"> 76 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 9.217425e+06 </td>
## <td style="text-align:right;"> 1.881989e+08 </td>
## <td style="text-align:right;"> 0.450 </td>
## <td style="text-align:right;"> 0.472 </td>
## <td style="text-align:right;"> 0.356 </td>
## <td style="text-align:right;"> -6.485320e+07 </td>
## <td style="text-align:right;"> 6.737484e+09 </td>
## <td style="text-align:right;"> 6.802337e+09 </td>
## <td style="text-align:right;"> 26.401 </td>
## <td style="text-align:right;"> 784.742 </td>
## <td style="text-align:right;"> 3.385069e+06 </td>
## <td style="text-align:right;"> 0.480 </td>
## <td style="text-align:right;"> 0.230 </td>
## <td style="text-align:right;"> 0.710 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX4.y.2. </td>
## <td style="text-align:right;"> 77 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.072000e+00 </td>
## <td style="text-align:right;"> 3.029800e+01 </td>
## <td style="text-align:right;"> 0.470 </td>
## <td style="text-align:right;"> 0.527 </td>
## <td style="text-align:right;"> 0.311 </td>
## <td style="text-align:right;"> -9.859000e+01 </td>
## <td style="text-align:right;"> 1.675990e+03 </td>
## <td style="text-align:right;"> 1.774580e+03 </td>
## <td style="text-align:right;"> 54.639 </td>
## <td style="text-align:right;"> 3018.398 </td>
## <td style="text-align:right;"> 5.450000e-01 </td>
## <td style="text-align:right;"> 0.460 </td>
## <td style="text-align:right;"> 0.290 </td>
## <td style="text-align:right;"> 0.750 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX6.y.2. </td>
## <td style="text-align:right;"> 78 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 3.688414e+06 </td>
## <td style="text-align:right;"> 3.693899e+08 </td>
## <td style="text-align:right;"> 0.040 </td>
## <td style="text-align:right;"> 0.047 </td>
## <td style="text-align:right;"> 0.089 </td>
## <td style="text-align:right;"> -2.700965e+09 </td>
## <td style="text-align:right;"> 1.998557e+10 </td>
## <td style="text-align:right;"> 2.268653e+10 </td>
## <td style="text-align:right;"> 50.894 </td>
## <td style="text-align:right;"> 2769.439 </td>
## <td style="text-align:right;"> 6.644089e+06 </td>
## <td style="text-align:right;"> 0.110 </td>
## <td style="text-align:right;"> -0.010 </td>
## <td style="text-align:right;"> 0.100 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX7.y.2. </td>
## <td style="text-align:right;"> 79 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 3.005484e+08 </td>
## <td style="text-align:right;"> 1.759180e+09 </td>
## <td style="text-align:right;"> 0.110 </td>
## <td style="text-align:right;"> 0.258 </td>
## <td style="text-align:right;"> 0.252 </td>
## <td style="text-align:right;"> -2.319753e+10 </td>
## <td style="text-align:right;"> 3.100398e+10 </td>
## <td style="text-align:right;"> 5.420151e+10 </td>
## <td style="text-align:right;"> 6.630 </td>
## <td style="text-align:right;"> 90.840 </td>
## <td style="text-align:right;"> 3.164177e+07 </td>
## <td style="text-align:right;"> 0.410 </td>
## <td style="text-align:right;"> -0.020 </td>
## <td style="text-align:right;"> 0.390 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX9.y.2. </td>
## <td style="text-align:right;"> 80 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.491405e+07 </td>
## <td style="text-align:right;"> 1.706167e+08 </td>
## <td style="text-align:right;"> 1826434.000 </td>
## <td style="text-align:right;"> 6194854.729 </td>
## <td style="text-align:right;"> 10289278.100 </td>
## <td style="text-align:right;"> -1.539479e+09 </td>
## <td style="text-align:right;"> 5.228494e+09 </td>
## <td style="text-align:right;"> 6.767973e+09 </td>
## <td style="text-align:right;"> 21.354 </td>
## <td style="text-align:right;"> 610.942 </td>
## <td style="text-align:right;"> 3.068824e+06 </td>
## <td style="text-align:right;"> 16565951.000 </td>
## <td style="text-align:right;"> -1868869.500 </td>
## <td style="text-align:right;"> 14697081.500 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX5.y.2. </td>
## <td style="text-align:right;"> 81 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.680000e-01 </td>
## <td style="text-align:right;"> 3.740000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.085 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.779 </td>
## <td style="text-align:right;"> 1.166 </td>
## <td style="text-align:right;"> 7.000000e-03 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX8.y.2. </td>
## <td style="text-align:right;"> 82 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.720000e-01 </td>
## <td style="text-align:right;"> 4.450000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.216 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.022 </td>
## <td style="text-align:right;"> -0.956 </td>
## <td style="text-align:right;"> 8.000000e-03 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_AR_by_OpIncome </td>
## <td style="text-align:right;"> 83 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.147000e+00 </td>
## <td style="text-align:right;"> 2.429100e+01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.094 </td>
## <td style="text-align:right;"> 0.469 </td>
## <td style="text-align:right;"> -9.990000e-01 </td>
## <td style="text-align:right;"> 1.245000e+03 </td>
## <td style="text-align:right;"> 1.245999e+03 </td>
## <td style="text-align:right;"> 44.014 </td>
## <td style="text-align:right;"> 2218.637 </td>
## <td style="text-align:right;"> 4.370000e-01 </td>
## <td style="text-align:right;"> 0.664 </td>
## <td style="text-align:right;"> -0.286 </td>
## <td style="text-align:right;"> 0.378 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_FB_Plus_OpInc_ByFB </td>
## <td style="text-align:right;"> 84 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 5.800000e-02 </td>
## <td style="text-align:right;"> 2.314200e+01 </td>
## <td style="text-align:right;"> -0.010 </td>
## <td style="text-align:right;"> -0.032 </td>
## <td style="text-align:right;"> 0.110 </td>
## <td style="text-align:right;"> -9.690000e+02 </td>
## <td style="text-align:right;"> 6.228300e+02 </td>
## <td style="text-align:right;"> 1.591830e+03 </td>
## <td style="text-align:right;"> -14.938 </td>
## <td style="text-align:right;"> 1206.914 </td>
## <td style="text-align:right;"> 4.160000e-01 </td>
## <td style="text-align:right;"> 0.153 </td>
## <td style="text-align:right;"> -0.104 </td>
## <td style="text-align:right;"> 0.049 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_CurrentRatio </td>
## <td style="text-align:right;"> 85 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -1.720000e-01 </td>
## <td style="text-align:right;"> 4.018000e+00 </td>
## <td style="text-align:right;"> -0.021 </td>
## <td style="text-align:right;"> -0.026 </td>
## <td style="text-align:right;"> 0.286 </td>
## <td style="text-align:right;"> -1.260770e+02 </td>
## <td style="text-align:right;"> 2.300000e+01 </td>
## <td style="text-align:right;"> 1.490770e+02 </td>
## <td style="text-align:right;"> -22.667 </td>
## <td style="text-align:right;"> 639.671 </td>
## <td style="text-align:right;"> 7.200000e-02 </td>
## <td style="text-align:right;"> 0.385 </td>
## <td style="text-align:right;"> -0.224 </td>
## <td style="text-align:right;"> 0.161 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_Debt2Equity </td>
## <td style="text-align:right;"> 86 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -8.800000e-02 </td>
## <td style="text-align:right;"> 2.020300e+01 </td>
## <td style="text-align:right;"> -0.029 </td>
## <td style="text-align:right;"> -0.061 </td>
## <td style="text-align:right;"> 0.266 </td>
## <td style="text-align:right;"> -7.519770e+02 </td>
## <td style="text-align:right;"> 3.553750e+02 </td>
## <td style="text-align:right;"> 1.107352e+03 </td>
## <td style="text-align:right;"> -21.848 </td>
## <td style="text-align:right;"> 817.458 </td>
## <td style="text-align:right;"> 3.630000e-01 </td>
## <td style="text-align:right;"> 0.350 </td>
## <td style="text-align:right;"> -0.250 </td>
## <td style="text-align:right;"> 0.100 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_LiabFundBalRatio </td>
## <td style="text-align:right;"> 87 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -7.000000e-01 </td>
## <td style="text-align:right;"> 2.943700e+01 </td>
## <td style="text-align:right;"> -0.031 </td>
## <td style="text-align:right;"> -0.029 </td>
## <td style="text-align:right;"> 0.289 </td>
## <td style="text-align:right;"> -1.422188e+03 </td>
## <td style="text-align:right;"> 1.197140e+02 </td>
## <td style="text-align:right;"> 1.541902e+03 </td>
## <td style="text-align:right;"> -42.309 </td>
## <td style="text-align:right;"> 1910.528 </td>
## <td style="text-align:right;"> 5.290000e-01 </td>
## <td style="text-align:right;"> 0.389 </td>
## <td style="text-align:right;"> -0.227 </td>
## <td style="text-align:right;"> 0.162 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_DaysSalesOutstanding </td>
## <td style="text-align:right;"> 88 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -1.397000e+00 </td>
## <td style="text-align:right;"> 8.311500e+01 </td>
## <td style="text-align:right;"> -0.006 </td>
## <td style="text-align:right;"> -0.001 </td>
## <td style="text-align:right;"> 0.157 </td>
## <td style="text-align:right;"> -4.557000e+03 </td>
## <td style="text-align:right;"> 5.583750e+02 </td>
## <td style="text-align:right;"> 5.115375e+03 </td>
## <td style="text-align:right;"> -53.251 </td>
## <td style="text-align:right;"> 2918.070 </td>
## <td style="text-align:right;"> 1.495000e+00 </td>
## <td style="text-align:right;"> 0.216 </td>
## <td style="text-align:right;"> -0.109 </td>
## <td style="text-align:right;"> 0.107 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_LaborCompRatio </td>
## <td style="text-align:right;"> 89 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.900000e-02 </td>
## <td style="text-align:right;"> 3.500000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.004 </td>
## <td style="text-align:right;"> 0.074 </td>
## <td style="text-align:right;"> -5.667000e+00 </td>
## <td style="text-align:right;"> 1.500000e+01 </td>
## <td style="text-align:right;"> 2.066700e+01 </td>
## <td style="text-align:right;"> 25.792 </td>
## <td style="text-align:right;"> 1124.819 </td>
## <td style="text-align:right;"> 6.000000e-03 </td>
## <td style="text-align:right;"> 0.100 </td>
## <td style="text-align:right;"> -0.048 </td>
## <td style="text-align:right;"> 0.053 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OpProfitMargin </td>
## <td style="text-align:right;"> 90 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -2.000000e-01 </td>
## <td style="text-align:right;"> 3.771000e+00 </td>
## <td style="text-align:right;"> -0.067 </td>
## <td style="text-align:right;"> -0.118 </td>
## <td style="text-align:right;"> 0.717 </td>
## <td style="text-align:right;"> -1.010000e+02 </td>
## <td style="text-align:right;"> 7.800000e+01 </td>
## <td style="text-align:right;"> 1.790000e+02 </td>
## <td style="text-align:right;"> -5.920 </td>
## <td style="text-align:right;"> 279.914 </td>
## <td style="text-align:right;"> 6.800000e-02 </td>
## <td style="text-align:right;"> 0.960 </td>
## <td style="text-align:right;"> -0.626 </td>
## <td style="text-align:right;"> 0.333 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_DaysCashOnHand </td>
## <td style="text-align:right;"> 91 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 7.341000e+00 </td>
## <td style="text-align:right;"> 4.284620e+02 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.036 </td>
## <td style="text-align:right;"> 0.582 </td>
## <td style="text-align:right;"> -1.522800e+04 </td>
## <td style="text-align:right;"> 1.694500e+04 </td>
## <td style="text-align:right;"> 3.217300e+04 </td>
## <td style="text-align:right;"> 6.062 </td>
## <td style="text-align:right;"> 1309.824 </td>
## <td style="text-align:right;"> 7.707000e+00 </td>
## <td style="text-align:right;"> 0.784 </td>
## <td style="text-align:right;"> -0.400 </td>
## <td style="text-align:right;"> 0.384 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_BedUtil </td>
## <td style="text-align:right;"> 92 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.800000e-02 </td>
## <td style="text-align:right;"> 9.820000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> -0.008 </td>
## <td style="text-align:right;"> 0.089 </td>
## <td style="text-align:right;"> -1.000000e+00 </td>
## <td style="text-align:right;"> 5.300000e+01 </td>
## <td style="text-align:right;"> 5.400000e+01 </td>
## <td style="text-align:right;"> 50.921 </td>
## <td style="text-align:right;"> 2735.060 </td>
## <td style="text-align:right;"> 1.800000e-02 </td>
## <td style="text-align:right;"> 0.120 </td>
## <td style="text-align:right;"> -0.070 </td>
## <td style="text-align:right;"> 0.050 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_AdjPxDays </td>
## <td style="text-align:right;"> 93 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.902300e+01 </td>
## <td style="text-align:right;"> 1.054974e+03 </td>
## <td style="text-align:right;"> 0.010 </td>
## <td style="text-align:right;"> 0.011 </td>
## <td style="text-align:right;"> 0.077 </td>
## <td style="text-align:right;"> -9.460000e-01 </td>
## <td style="text-align:right;"> 5.865315e+04 </td>
## <td style="text-align:right;"> 5.865410e+04 </td>
## <td style="text-align:right;"> 55.543 </td>
## <td style="text-align:right;"> 3083.996 </td>
## <td style="text-align:right;"> 1.897500e+01 </td>
## <td style="text-align:right;"> 0.104 </td>
## <td style="text-align:right;"> -0.041 </td>
## <td style="text-align:right;"> 0.063 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_Alt1Ohls3 </td>
## <td style="text-align:right;"> 94 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -3.046744e+07 </td>
## <td style="text-align:right;"> 1.630871e+09 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> -0.038 </td>
## <td style="text-align:right;"> 0.404 </td>
## <td style="text-align:right;"> -8.997879e+10 </td>
## <td style="text-align:right;"> 3.052270e+09 </td>
## <td style="text-align:right;"> 9.303106e+10 </td>
## <td style="text-align:right;"> -54.340 </td>
## <td style="text-align:right;"> 2990.993 </td>
## <td style="text-align:right;"> 2.933391e+07 </td>
## <td style="text-align:right;"> 0.564 </td>
## <td style="text-align:right;"> -0.333 </td>
## <td style="text-align:right;"> 0.230 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_AltmanX2 </td>
## <td style="text-align:right;"> 95 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 3.211872e+07 </td>
## <td style="text-align:right;"> 1.371175e+09 </td>
## <td style="text-align:right;"> -0.500 </td>
## <td style="text-align:right;"> -0.544 </td>
## <td style="text-align:right;"> 1.235 </td>
## <td style="text-align:right;"> -1.708382e+08 </td>
## <td style="text-align:right;"> 7.506213e+10 </td>
## <td style="text-align:right;"> 7.523297e+10 </td>
## <td style="text-align:right;"> 53.239 </td>
## <td style="text-align:right;"> 2899.451 </td>
## <td style="text-align:right;"> 2.466286e+07 </td>
## <td style="text-align:right;"> 1.678 </td>
## <td style="text-align:right;"> -1.378 </td>
## <td style="text-align:right;"> 0.300 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_AltmanX3 </td>
## <td style="text-align:right;"> 96 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.412699e+07 </td>
## <td style="text-align:right;"> 8.252692e+08 </td>
## <td style="text-align:right;"> -0.071 </td>
## <td style="text-align:right;"> -0.109 </td>
## <td style="text-align:right;"> 0.635 </td>
## <td style="text-align:right;"> -1.539000e+03 </td>
## <td style="text-align:right;"> 3.406117e+10 </td>
## <td style="text-align:right;"> 3.406117e+10 </td>
## <td style="text-align:right;"> 38.717 </td>
## <td style="text-align:right;"> 1518.599 </td>
## <td style="text-align:right;"> 1.484384e+07 </td>
## <td style="text-align:right;"> 0.889 </td>
## <td style="text-align:right;"> -0.556 </td>
## <td style="text-align:right;"> 0.333 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_AltmanX4 </td>
## <td style="text-align:right;"> 97 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -1.201230e+09 </td>
## <td style="text-align:right;"> 5.318602e+10 </td>
## <td style="text-align:right;"> -0.550 </td>
## <td style="text-align:right;"> -0.541 </td>
## <td style="text-align:right;"> 1.260 </td>
## <td style="text-align:right;"> -2.750000e+12 </td>
## <td style="text-align:right;"> 4.500000e+11 </td>
## <td style="text-align:right;"> 3.200000e+12 </td>
## <td style="text-align:right;"> -46.277 </td>
## <td style="text-align:right;"> 2338.273 </td>
## <td style="text-align:right;"> 9.566387e+08 </td>
## <td style="text-align:right;"> 1.708 </td>
## <td style="text-align:right;"> -1.375 </td>
## <td style="text-align:right;"> 0.333 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX1 </td>
## <td style="text-align:right;"> 98 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -6.000000e-03 </td>
## <td style="text-align:right;"> 1.470000e-01 </td>
## <td style="text-align:right;"> 0.003 </td>
## <td style="text-align:right;"> 0.003 </td>
## <td style="text-align:right;"> 0.008 </td>
## <td style="text-align:right;"> -2.310000e+00 </td>
## <td style="text-align:right;"> 1.307000e+00 </td>
## <td style="text-align:right;"> 3.617000e+00 </td>
## <td style="text-align:right;"> -12.742 </td>
## <td style="text-align:right;"> 187.861 </td>
## <td style="text-align:right;"> 3.000000e-03 </td>
## <td style="text-align:right;"> 0.010 </td>
## <td style="text-align:right;"> -0.002 </td>
## <td style="text-align:right;"> 0.008 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX2 </td>
## <td style="text-align:right;"> 99 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> -1.881033e+06 </td>
## <td style="text-align:right;"> 1.072912e+09 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.007 </td>
## <td style="text-align:right;"> 0.156 </td>
## <td style="text-align:right;"> -5.097377e+10 </td>
## <td style="text-align:right;"> 2.615652e+10 </td>
## <td style="text-align:right;"> 7.713030e+10 </td>
## <td style="text-align:right;"> -28.892 </td>
## <td style="text-align:right;"> 1776.106 </td>
## <td style="text-align:right;"> 1.929810e+07 </td>
## <td style="text-align:right;"> 0.215 </td>
## <td style="text-align:right;"> -0.100 </td>
## <td style="text-align:right;"> 0.115 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX4 </td>
## <td style="text-align:right;"> 100 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.250000e-01 </td>
## <td style="text-align:right;"> 3.979000e+00 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.035 </td>
## <td style="text-align:right;"> 0.292 </td>
## <td style="text-align:right;"> -1.045000e+02 </td>
## <td style="text-align:right;"> 1.050000e+02 </td>
## <td style="text-align:right;"> 2.095000e+02 </td>
## <td style="text-align:right;"> 1.264 </td>
## <td style="text-align:right;"> 378.637 </td>
## <td style="text-align:right;"> 7.200000e-02 </td>
## <td style="text-align:right;"> 0.406 </td>
## <td style="text-align:right;"> -0.171 </td>
## <td style="text-align:right;"> 0.235 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX6 </td>
## <td style="text-align:right;"> 101 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 2.513597e+07 </td>
## <td style="text-align:right;"> 1.013776e+09 </td>
## <td style="text-align:right;"> -0.133 </td>
## <td style="text-align:right;"> -0.137 </td>
## <td style="text-align:right;"> 0.939 </td>
## <td style="text-align:right;"> -8.772930e+03 </td>
## <td style="text-align:right;"> 5.543998e+10 </td>
## <td style="text-align:right;"> 5.543999e+10 </td>
## <td style="text-align:right;"> 53.043 </td>
## <td style="text-align:right;"> 2886.754 </td>
## <td style="text-align:right;"> 1.823444e+07 </td>
## <td style="text-align:right;"> 1.229 </td>
## <td style="text-align:right;"> -0.800 </td>
## <td style="text-align:right;"> 0.429 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX7 </td>
## <td style="text-align:right;"> 102 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 1.468682e+08 </td>
## <td style="text-align:right;"> 4.177040e+09 </td>
## <td style="text-align:right;"> -0.077 </td>
## <td style="text-align:right;"> -0.083 </td>
## <td style="text-align:right;"> 0.762 </td>
## <td style="text-align:right;"> -5.342444e+10 </td>
## <td style="text-align:right;"> 1.700000e+11 </td>
## <td style="text-align:right;"> 2.234244e+11 </td>
## <td style="text-align:right;"> 32.083 </td>
## <td style="text-align:right;"> 1226.407 </td>
## <td style="text-align:right;"> 7.513100e+07 </td>
## <td style="text-align:right;"> 1.018 </td>
## <td style="text-align:right;"> -0.636 </td>
## <td style="text-align:right;"> 0.382 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX9 </td>
## <td style="text-align:right;"> 103 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 8.777139e+05 </td>
## <td style="text-align:right;"> 4.184137e+07 </td>
## <td style="text-align:right;"> -0.504 </td>
## <td style="text-align:right;"> -0.555 </td>
## <td style="text-align:right;"> 1.335 </td>
## <td style="text-align:right;"> -3.247753e+08 </td>
## <td style="text-align:right;"> 2.107294e+09 </td>
## <td style="text-align:right;"> 2.432069e+09 </td>
## <td style="text-align:right;"> 44.674 </td>
## <td style="text-align:right;"> 2155.070 </td>
## <td style="text-align:right;"> 7.525864e+05 </td>
## <td style="text-align:right;"> 1.799 </td>
## <td style="text-align:right;"> -1.440 </td>
## <td style="text-align:right;"> 0.359 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> NegLiab.y.1. </td>
## <td style="text-align:right;"> 104 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 7.500000e-02 </td>
## <td style="text-align:right;"> 2.640000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 3.215 </td>
## <td style="text-align:right;"> 8.340 </td>
## <td style="text-align:right;"> 5.000000e-03 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> NegLiab.y.2. </td>
## <td style="text-align:right;"> 105 </td>
## <td style="text-align:right;"> 3091 </td>
## <td style="text-align:right;"> 7.700000e-02 </td>
## <td style="text-align:right;"> 2.670000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 3.163 </td>
## <td style="text-align:right;"> 8.010 </td>
## <td style="text-align:right;"> 5.000000e-03 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## </tbody>
## </table># Print the rounded summary statistics of the subset of 'bankrupt' data frame
myprint(round(describe(bankrupt[bankrupt$Bankrupt == 1,], IQR = TRUE, quant = c(.25, .75)), 3))## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> </th>
## <th style="text-align:right;"> vars </th>
## <th style="text-align:right;"> n </th>
## <th style="text-align:right;"> mean </th>
## <th style="text-align:right;"> sd </th>
## <th style="text-align:right;"> median </th>
## <th style="text-align:right;"> trimmed </th>
## <th style="text-align:right;"> mad </th>
## <th style="text-align:right;"> min </th>
## <th style="text-align:right;"> max </th>
## <th style="text-align:right;"> range </th>
## <th style="text-align:right;"> skew </th>
## <th style="text-align:right;"> kurtosis </th>
## <th style="text-align:right;"> se </th>
## <th style="text-align:right;"> IQR </th>
## <th style="text-align:right;"> Q0.25 </th>
## <th style="text-align:right;"> Q0.75 </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> Bankrupt </td>
## <td style="text-align:right;"> 1 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> NaN </td>
## <td style="text-align:right;"> NaN </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Year </td>
## <td style="text-align:right;"> 2 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 2.015585e+03 </td>
## <td style="text-align:right;"> 3.259000e+00 </td>
## <td style="text-align:right;"> 2017.000 </td>
## <td style="text-align:right;"> 2015.925 </td>
## <td style="text-align:right;"> 2.965 </td>
## <td style="text-align:right;"> 2.008000e+03 </td>
## <td style="text-align:right;"> 2.020000e+03 </td>
## <td style="text-align:right;"> 1.200000e+01 </td>
## <td style="text-align:right;"> -0.855 </td>
## <td style="text-align:right;"> -0.574 </td>
## <td style="text-align:right;"> 4.040000e-01 </td>
## <td style="text-align:right;"> 4.000 </td>
## <td style="text-align:right;"> 2014.000 </td>
## <td style="text-align:right;"> 2018.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AR_by_OpIncome </td>
## <td style="text-align:right;"> 3 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 2.384000e+00 </td>
## <td style="text-align:right;"> 2.383000e+00 </td>
## <td style="text-align:right;"> 1.522 </td>
## <td style="text-align:right;"> 2.058 </td>
## <td style="text-align:right;"> 2.098 </td>
## <td style="text-align:right;"> 1.700000e-02 </td>
## <td style="text-align:right;"> 8.529000e+00 </td>
## <td style="text-align:right;"> 8.512000e+00 </td>
## <td style="text-align:right;"> 0.974 </td>
## <td style="text-align:right;"> 0.058 </td>
## <td style="text-align:right;"> 2.960000e-01 </td>
## <td style="text-align:right;"> 3.181 </td>
## <td style="text-align:right;"> 0.158 </td>
## <td style="text-align:right;"> 3.339 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> FB_Plus_OpInc_ByFB </td>
## <td style="text-align:right;"> 4 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.215700e+01 </td>
## <td style="text-align:right;"> 8.650500e+01 </td>
## <td style="text-align:right;"> 1.120 </td>
## <td style="text-align:right;"> 1.161 </td>
## <td style="text-align:right;"> 0.489 </td>
## <td style="text-align:right;"> -1.250000e+00 </td>
## <td style="text-align:right;"> 6.986900e+02 </td>
## <td style="text-align:right;"> 6.999400e+02 </td>
## <td style="text-align:right;"> 7.688 </td>
## <td style="text-align:right;"> 58.034 </td>
## <td style="text-align:right;"> 1.073000e+01 </td>
## <td style="text-align:right;"> 0.480 </td>
## <td style="text-align:right;"> 0.780 </td>
## <td style="text-align:right;"> 1.260 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PercentMedicaidDays </td>
## <td style="text-align:right;"> 5 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.030000e-01 </td>
## <td style="text-align:right;"> 1.070000e-01 </td>
## <td style="text-align:right;"> 0.060 </td>
## <td style="text-align:right;"> 0.084 </td>
## <td style="text-align:right;"> 0.059 </td>
## <td style="text-align:right;"> 1.000000e-02 </td>
## <td style="text-align:right;"> 4.500000e-01 </td>
## <td style="text-align:right;"> 4.400000e-01 </td>
## <td style="text-align:right;"> 1.687 </td>
## <td style="text-align:right;"> 2.402 </td>
## <td style="text-align:right;"> 1.300000e-02 </td>
## <td style="text-align:right;"> 0.110 </td>
## <td style="text-align:right;"> 0.030 </td>
## <td style="text-align:right;"> 0.140 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PercentMedicareDays </td>
## <td style="text-align:right;"> 6 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.250000e-01 </td>
## <td style="text-align:right;"> 1.330000e-01 </td>
## <td style="text-align:right;"> 0.300 </td>
## <td style="text-align:right;"> 0.316 </td>
## <td style="text-align:right;"> 0.104 </td>
## <td style="text-align:right;"> 6.000000e-02 </td>
## <td style="text-align:right;"> 7.800000e-01 </td>
## <td style="text-align:right;"> 7.200000e-01 </td>
## <td style="text-align:right;"> 0.812 </td>
## <td style="text-align:right;"> 0.855 </td>
## <td style="text-align:right;"> 1.600000e-02 </td>
## <td style="text-align:right;"> 0.150 </td>
## <td style="text-align:right;"> 0.240 </td>
## <td style="text-align:right;"> 0.390 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> CurrentRatio </td>
## <td style="text-align:right;"> 7 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.600000e-01 </td>
## <td style="text-align:right;"> 2.504000e+00 </td>
## <td style="text-align:right;"> 0.560 </td>
## <td style="text-align:right;"> 0.692 </td>
## <td style="text-align:right;"> 0.845 </td>
## <td style="text-align:right;"> -1.310000e+01 </td>
## <td style="text-align:right;"> 3.920000e+00 </td>
## <td style="text-align:right;"> 1.702000e+01 </td>
## <td style="text-align:right;"> -3.285 </td>
## <td style="text-align:right;"> 14.085 </td>
## <td style="text-align:right;"> 3.110000e-01 </td>
## <td style="text-align:right;"> 1.190 </td>
## <td style="text-align:right;"> 0.230 </td>
## <td style="text-align:right;"> 1.420 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Debt2Equity </td>
## <td style="text-align:right;"> 8 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -3.077600e+01 </td>
## <td style="text-align:right;"> 2.384260e+02 </td>
## <td style="text-align:right;"> 0.090 </td>
## <td style="text-align:right;"> -0.156 </td>
## <td style="text-align:right;"> 0.756 </td>
## <td style="text-align:right;"> -1.922500e+03 </td>
## <td style="text-align:right;"> 7.330000e+00 </td>
## <td style="text-align:right;"> 1.929830e+03 </td>
## <td style="text-align:right;"> -7.682 </td>
## <td style="text-align:right;"> 57.969 </td>
## <td style="text-align:right;"> 2.957300e+01 </td>
## <td style="text-align:right;"> 1.200 </td>
## <td style="text-align:right;"> -0.800 </td>
## <td style="text-align:right;"> 0.400 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysSalesOutstanding </td>
## <td style="text-align:right;"> 9 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 5.600200e+01 </td>
## <td style="text-align:right;"> 4.989800e+01 </td>
## <td style="text-align:right;"> 52.600 </td>
## <td style="text-align:right;"> 55.040 </td>
## <td style="text-align:right;"> 20.845 </td>
## <td style="text-align:right;"> -2.131200e+02 </td>
## <td style="text-align:right;"> 2.356500e+02 </td>
## <td style="text-align:right;"> 4.487700e+02 </td>
## <td style="text-align:right;"> -1.549 </td>
## <td style="text-align:right;"> 13.493 </td>
## <td style="text-align:right;"> 6.189000e+00 </td>
## <td style="text-align:right;"> 28.870 </td>
## <td style="text-align:right;"> 41.440 </td>
## <td style="text-align:right;"> 70.310 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> LaborCompRatio </td>
## <td style="text-align:right;"> 10 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 5.840000e-01 </td>
## <td style="text-align:right;"> 7.420000e-01 </td>
## <td style="text-align:right;"> 0.490 </td>
## <td style="text-align:right;"> 0.487 </td>
## <td style="text-align:right;"> 0.178 </td>
## <td style="text-align:right;"> 2.100000e-01 </td>
## <td style="text-align:right;"> 6.340000e+00 </td>
## <td style="text-align:right;"> 6.130000e+00 </td>
## <td style="text-align:right;"> 7.166 </td>
## <td style="text-align:right;"> 52.683 </td>
## <td style="text-align:right;"> 9.200000e-02 </td>
## <td style="text-align:right;"> 0.230 </td>
## <td style="text-align:right;"> 0.360 </td>
## <td style="text-align:right;"> 0.590 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OpProfitMargin </td>
## <td style="text-align:right;"> 11 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -2.680000e-01 </td>
## <td style="text-align:right;"> 1.299000e+00 </td>
## <td style="text-align:right;"> -0.100 </td>
## <td style="text-align:right;"> -0.102 </td>
## <td style="text-align:right;"> 0.148 </td>
## <td style="text-align:right;"> -1.046000e+01 </td>
## <td style="text-align:right;"> 3.700000e-01 </td>
## <td style="text-align:right;"> 1.083000e+01 </td>
## <td style="text-align:right;"> -7.416 </td>
## <td style="text-align:right;"> 55.227 </td>
## <td style="text-align:right;"> 1.610000e-01 </td>
## <td style="text-align:right;"> 0.200 </td>
## <td style="text-align:right;"> -0.210 </td>
## <td style="text-align:right;"> -0.010 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysCashOnHand </td>
## <td style="text-align:right;"> 12 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.210600e+01 </td>
## <td style="text-align:right;"> 2.236300e+01 </td>
## <td style="text-align:right;"> 2.580 </td>
## <td style="text-align:right;"> 8.056 </td>
## <td style="text-align:right;"> 10.779 </td>
## <td style="text-align:right;"> -1.477000e+01 </td>
## <td style="text-align:right;"> 9.730000e+01 </td>
## <td style="text-align:right;"> 1.120700e+02 </td>
## <td style="text-align:right;"> 1.809 </td>
## <td style="text-align:right;"> 3.116 </td>
## <td style="text-align:right;"> 2.774000e+00 </td>
## <td style="text-align:right;"> 20.810 </td>
## <td style="text-align:right;"> -1.520 </td>
## <td style="text-align:right;"> 19.290 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> BedUtil </td>
## <td style="text-align:right;"> 13 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.510000e-01 </td>
## <td style="text-align:right;"> 1.780000e-01 </td>
## <td style="text-align:right;"> 0.290 </td>
## <td style="text-align:right;"> 0.340 </td>
## <td style="text-align:right;"> 0.133 </td>
## <td style="text-align:right;"> 4.000000e-02 </td>
## <td style="text-align:right;"> 7.700000e-01 </td>
## <td style="text-align:right;"> 7.300000e-01 </td>
## <td style="text-align:right;"> 0.601 </td>
## <td style="text-align:right;"> -0.530 </td>
## <td style="text-align:right;"> 2.200000e-02 </td>
## <td style="text-align:right;"> 0.270 </td>
## <td style="text-align:right;"> 0.230 </td>
## <td style="text-align:right;"> 0.500 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AdjPxDays </td>
## <td style="text-align:right;"> 14 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.615000e+00 </td>
## <td style="text-align:right;"> 2.593000e+00 </td>
## <td style="text-align:right;"> 3.247 </td>
## <td style="text-align:right;"> 3.360 </td>
## <td style="text-align:right;"> 2.586 </td>
## <td style="text-align:right;"> 9.400000e-02 </td>
## <td style="text-align:right;"> 1.223300e+01 </td>
## <td style="text-align:right;"> 1.213900e+01 </td>
## <td style="text-align:right;"> 0.939 </td>
## <td style="text-align:right;"> 0.641 </td>
## <td style="text-align:right;"> 3.220000e-01 </td>
## <td style="text-align:right;"> 3.466 </td>
## <td style="text-align:right;"> 1.567 </td>
## <td style="text-align:right;"> 5.033 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Alt1Ohls3 </td>
## <td style="text-align:right;"> 15 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 6.700000e-02 </td>
## <td style="text-align:right;"> 7.940000e-01 </td>
## <td style="text-align:right;"> 0.060 </td>
## <td style="text-align:right;"> 0.014 </td>
## <td style="text-align:right;"> 0.460 </td>
## <td style="text-align:right;"> -2.400000e+00 </td>
## <td style="text-align:right;"> 3.070000e+00 </td>
## <td style="text-align:right;"> 5.470000e+00 </td>
## <td style="text-align:right;"> 0.809 </td>
## <td style="text-align:right;"> 3.557 </td>
## <td style="text-align:right;"> 9.800000e-02 </td>
## <td style="text-align:right;"> 0.660 </td>
## <td style="text-align:right;"> -0.320 </td>
## <td style="text-align:right;"> 0.340 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX2 </td>
## <td style="text-align:right;"> 16 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -4.300000e-02 </td>
## <td style="text-align:right;"> 4.350000e-01 </td>
## <td style="text-align:right;"> -0.070 </td>
## <td style="text-align:right;"> -0.044 </td>
## <td style="text-align:right;"> 0.163 </td>
## <td style="text-align:right;"> -1.930000e+00 </td>
## <td style="text-align:right;"> 1.940000e+00 </td>
## <td style="text-align:right;"> 3.870000e+00 </td>
## <td style="text-align:right;"> 0.114 </td>
## <td style="text-align:right;"> 10.017 </td>
## <td style="text-align:right;"> 5.400000e-02 </td>
## <td style="text-align:right;"> 0.220 </td>
## <td style="text-align:right;"> -0.160 </td>
## <td style="text-align:right;"> 0.060 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX3 </td>
## <td style="text-align:right;"> 17 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -6.300000e-02 </td>
## <td style="text-align:right;"> 3.400000e-01 </td>
## <td style="text-align:right;"> -0.080 </td>
## <td style="text-align:right;"> -0.052 </td>
## <td style="text-align:right;"> 0.193 </td>
## <td style="text-align:right;"> -1.390000e+00 </td>
## <td style="text-align:right;"> 9.600000e-01 </td>
## <td style="text-align:right;"> 2.350000e+00 </td>
## <td style="text-align:right;"> -0.899 </td>
## <td style="text-align:right;"> 5.012 </td>
## <td style="text-align:right;"> 4.200000e-02 </td>
## <td style="text-align:right;"> 0.260 </td>
## <td style="text-align:right;"> -0.180 </td>
## <td style="text-align:right;"> 0.080 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX4 </td>
## <td style="text-align:right;"> 18 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 2.455094e+08 </td>
## <td style="text-align:right;"> 7.366824e+08 </td>
## <td style="text-align:right;"> -0.060 </td>
## <td style="text-align:right;"> 39316845.335 </td>
## <td style="text-align:right;"> 0.208 </td>
## <td style="text-align:right;"> -2.022990e+07 </td>
## <td style="text-align:right;"> 3.386537e+09 </td>
## <td style="text-align:right;"> 3.406767e+09 </td>
## <td style="text-align:right;"> 3.261 </td>
## <td style="text-align:right;"> 9.700 </td>
## <td style="text-align:right;"> 9.137421e+07 </td>
## <td style="text-align:right;"> 0.360 </td>
## <td style="text-align:right;"> -0.170 </td>
## <td style="text-align:right;"> 0.190 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX1 </td>
## <td style="text-align:right;"> 19 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.087700e+01 </td>
## <td style="text-align:right;"> 9.950000e-01 </td>
## <td style="text-align:right;"> 10.880 </td>
## <td style="text-align:right;"> 10.919 </td>
## <td style="text-align:right;"> 1.067 </td>
## <td style="text-align:right;"> 8.450000e+00 </td>
## <td style="text-align:right;"> 1.265000e+01 </td>
## <td style="text-align:right;"> 4.200000e+00 </td>
## <td style="text-align:right;"> -0.256 </td>
## <td style="text-align:right;"> -0.596 </td>
## <td style="text-align:right;"> 1.230000e-01 </td>
## <td style="text-align:right;"> 1.390 </td>
## <td style="text-align:right;"> 10.260 </td>
## <td style="text-align:right;"> 11.650 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX2 </td>
## <td style="text-align:right;"> 20 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 7.680000e-01 </td>
## <td style="text-align:right;"> 1.201000e+00 </td>
## <td style="text-align:right;"> 0.790 </td>
## <td style="text-align:right;"> 0.766 </td>
## <td style="text-align:right;"> 0.712 </td>
## <td style="text-align:right;"> -3.700000e+00 </td>
## <td style="text-align:right;"> 3.410000e+00 </td>
## <td style="text-align:right;"> 7.110000e+00 </td>
## <td style="text-align:right;"> -0.401 </td>
## <td style="text-align:right;"> 2.106 </td>
## <td style="text-align:right;"> 1.490000e-01 </td>
## <td style="text-align:right;"> 0.890 </td>
## <td style="text-align:right;"> 0.230 </td>
## <td style="text-align:right;"> 1.120 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX4 </td>
## <td style="text-align:right;"> 21 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.025000e+00 </td>
## <td style="text-align:right;"> 2.238000e+00 </td>
## <td style="text-align:right;"> 0.890 </td>
## <td style="text-align:right;"> 0.973 </td>
## <td style="text-align:right;"> 1.334 </td>
## <td style="text-align:right;"> -4.900000e+00 </td>
## <td style="text-align:right;"> 1.187000e+01 </td>
## <td style="text-align:right;"> 1.677000e+01 </td>
## <td style="text-align:right;"> 1.288 </td>
## <td style="text-align:right;"> 7.697 </td>
## <td style="text-align:right;"> 2.780000e-01 </td>
## <td style="text-align:right;"> 1.600 </td>
## <td style="text-align:right;"> 0.340 </td>
## <td style="text-align:right;"> 1.940 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX6 </td>
## <td style="text-align:right;"> 22 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -5.100000e-02 </td>
## <td style="text-align:right;"> 2.970000e-01 </td>
## <td style="text-align:right;"> -0.060 </td>
## <td style="text-align:right;"> -0.044 </td>
## <td style="text-align:right;"> 0.133 </td>
## <td style="text-align:right;"> -1.470000e+00 </td>
## <td style="text-align:right;"> 7.200000e-01 </td>
## <td style="text-align:right;"> 2.190000e+00 </td>
## <td style="text-align:right;"> -1.800 </td>
## <td style="text-align:right;"> 9.184 </td>
## <td style="text-align:right;"> 3.700000e-02 </td>
## <td style="text-align:right;"> 0.160 </td>
## <td style="text-align:right;"> -0.130 </td>
## <td style="text-align:right;"> 0.030 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX7 </td>
## <td style="text-align:right;"> 23 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 2.878342e+08 </td>
## <td style="text-align:right;"> 8.200204e+08 </td>
## <td style="text-align:right;"> -0.080 </td>
## <td style="text-align:right;"> 58227343.369 </td>
## <td style="text-align:right;"> 0.208 </td>
## <td style="text-align:right;"> -1.050000e+00 </td>
## <td style="text-align:right;"> 3.773668e+09 </td>
## <td style="text-align:right;"> 3.773668e+09 </td>
## <td style="text-align:right;"> 3.093 </td>
## <td style="text-align:right;"> 8.639 </td>
## <td style="text-align:right;"> 1.017110e+08 </td>
## <td style="text-align:right;"> 0.440 </td>
## <td style="text-align:right;"> -0.170 </td>
## <td style="text-align:right;"> 0.270 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX9 </td>
## <td style="text-align:right;"> 24 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -9.749833e+05 </td>
## <td style="text-align:right;"> 1.748250e+07 </td>
## <td style="text-align:right;"> -2099769.000 </td>
## <td style="text-align:right;"> -1683258.717 </td>
## <td style="text-align:right;"> 6408557.774 </td>
## <td style="text-align:right;"> -4.623097e+07 </td>
## <td style="text-align:right;"> 8.574380e+07 </td>
## <td style="text-align:right;"> 1.319748e+08 </td>
## <td style="text-align:right;"> 1.554 </td>
## <td style="text-align:right;"> 8.484 </td>
## <td style="text-align:right;"> 2.168437e+06 </td>
## <td style="text-align:right;"> 8636372.000 </td>
## <td style="text-align:right;"> -6436159.000 </td>
## <td style="text-align:right;"> 2200213.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX5 </td>
## <td style="text-align:right;"> 25 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.850000e-01 </td>
## <td style="text-align:right;"> 4.900000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.358 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 0.463 </td>
## <td style="text-align:right;"> -1.812 </td>
## <td style="text-align:right;"> 6.100000e-02 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX8 </td>
## <td style="text-align:right;"> 26 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 6.770000e-01 </td>
## <td style="text-align:right;"> 4.710000e-01 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.717 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> -0.739 </td>
## <td style="text-align:right;"> -1.476 </td>
## <td style="text-align:right;"> 5.800000e-02 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Govt </td>
## <td style="text-align:right;"> 27 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.230000e-01 </td>
## <td style="text-align:right;"> 3.310000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.038 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 2.242 </td>
## <td style="text-align:right;"> 3.074 </td>
## <td style="text-align:right;"> 4.100000e-02 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Urban </td>
## <td style="text-align:right;"> 28 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.850000e-01 </td>
## <td style="text-align:right;"> 3.910000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.113 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.588 </td>
## <td style="text-align:right;"> 0.532 </td>
## <td style="text-align:right;"> 4.800000e-02 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> ForProfit </td>
## <td style="text-align:right;"> 29 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 5.380000e-01 </td>
## <td style="text-align:right;"> 5.020000e-01 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.547 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> -0.151 </td>
## <td style="text-align:right;"> -2.007 </td>
## <td style="text-align:right;"> 6.200000e-02 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> HC1 </td>
## <td style="text-align:right;"> 30 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.230000e-01 </td>
## <td style="text-align:right;"> 3.310000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.038 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 2.242 </td>
## <td style="text-align:right;"> 3.074 </td>
## <td style="text-align:right;"> 4.100000e-02 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> HC2 </td>
## <td style="text-align:right;"> 31 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.540000e-01 </td>
## <td style="text-align:right;"> 4.820000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.321 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 0.597 </td>
## <td style="text-align:right;"> -1.668 </td>
## <td style="text-align:right;"> 6.000000e-02 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> HC4 </td>
## <td style="text-align:right;"> 32 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 6.200000e-02 </td>
## <td style="text-align:right;"> 2.420000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 3.565 </td>
## <td style="text-align:right;"> 10.878 </td>
## <td style="text-align:right;"> 3.000000e-02 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> HC5 </td>
## <td style="text-align:right;"> 33 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 4.600000e-02 </td>
## <td style="text-align:right;"> 2.110000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 4.227 </td>
## <td style="text-align:right;"> 16.113 </td>
## <td style="text-align:right;"> 2.600000e-02 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AR_by_OpIncome.y.1. </td>
## <td style="text-align:right;"> 34 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 2.256000e+00 </td>
## <td style="text-align:right;"> 2.450000e+00 </td>
## <td style="text-align:right;"> 1.483 </td>
## <td style="text-align:right;"> 1.912 </td>
## <td style="text-align:right;"> 2.083 </td>
## <td style="text-align:right;"> 4.000000e-03 </td>
## <td style="text-align:right;"> 8.594000e+00 </td>
## <td style="text-align:right;"> 8.590000e+00 </td>
## <td style="text-align:right;"> 0.920 </td>
## <td style="text-align:right;"> -0.209 </td>
## <td style="text-align:right;"> 3.040000e-01 </td>
## <td style="text-align:right;"> 4.302 </td>
## <td style="text-align:right;"> 0.136 </td>
## <td style="text-align:right;"> 4.438 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> FB_Plus_OpInc_ByFB.y.1. </td>
## <td style="text-align:right;"> 35 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.241000e+00 </td>
## <td style="text-align:right;"> 2.316000e+00 </td>
## <td style="text-align:right;"> 1.080 </td>
## <td style="text-align:right;"> 0.965 </td>
## <td style="text-align:right;"> 0.445 </td>
## <td style="text-align:right;"> -2.090000e+00 </td>
## <td style="text-align:right;"> 1.683000e+01 </td>
## <td style="text-align:right;"> 1.892000e+01 </td>
## <td style="text-align:right;"> 4.838 </td>
## <td style="text-align:right;"> 29.300 </td>
## <td style="text-align:right;"> 2.870000e-01 </td>
## <td style="text-align:right;"> 0.650 </td>
## <td style="text-align:right;"> 0.660 </td>
## <td style="text-align:right;"> 1.310 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PercentMedicaidDays.y.1. </td>
## <td style="text-align:right;"> 36 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.030000e-01 </td>
## <td style="text-align:right;"> 1.070000e-01 </td>
## <td style="text-align:right;"> 0.060 </td>
## <td style="text-align:right;"> 0.084 </td>
## <td style="text-align:right;"> 0.059 </td>
## <td style="text-align:right;"> 1.000000e-02 </td>
## <td style="text-align:right;"> 4.500000e-01 </td>
## <td style="text-align:right;"> 4.400000e-01 </td>
## <td style="text-align:right;"> 1.687 </td>
## <td style="text-align:right;"> 2.402 </td>
## <td style="text-align:right;"> 1.300000e-02 </td>
## <td style="text-align:right;"> 0.110 </td>
## <td style="text-align:right;"> 0.030 </td>
## <td style="text-align:right;"> 0.140 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PercentMedicareDays.y.1. </td>
## <td style="text-align:right;"> 37 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.250000e-01 </td>
## <td style="text-align:right;"> 1.330000e-01 </td>
## <td style="text-align:right;"> 0.300 </td>
## <td style="text-align:right;"> 0.316 </td>
## <td style="text-align:right;"> 0.104 </td>
## <td style="text-align:right;"> 6.000000e-02 </td>
## <td style="text-align:right;"> 7.800000e-01 </td>
## <td style="text-align:right;"> 7.200000e-01 </td>
## <td style="text-align:right;"> 0.812 </td>
## <td style="text-align:right;"> 0.855 </td>
## <td style="text-align:right;"> 1.600000e-02 </td>
## <td style="text-align:right;"> 0.150 </td>
## <td style="text-align:right;"> 0.240 </td>
## <td style="text-align:right;"> 0.390 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> CurrentRatio.y.1. </td>
## <td style="text-align:right;"> 38 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -4.407000e+00 </td>
## <td style="text-align:right;"> 2.859200e+01 </td>
## <td style="text-align:right;"> 0.760 </td>
## <td style="text-align:right;"> 0.864 </td>
## <td style="text-align:right;"> 1.023 </td>
## <td style="text-align:right;"> -1.879700e+02 </td>
## <td style="text-align:right;"> 1.232000e+01 </td>
## <td style="text-align:right;"> 2.002900e+02 </td>
## <td style="text-align:right;"> -5.419 </td>
## <td style="text-align:right;"> 29.181 </td>
## <td style="text-align:right;"> 3.546000e+00 </td>
## <td style="text-align:right;"> 1.420 </td>
## <td style="text-align:right;"> 0.210 </td>
## <td style="text-align:right;"> 1.630 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Debt2Equity.y.1. </td>
## <td style="text-align:right;"> 39 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 6.070000e-01 </td>
## <td style="text-align:right;"> 5.370000e+00 </td>
## <td style="text-align:right;"> 0.130 </td>
## <td style="text-align:right;"> 0.257 </td>
## <td style="text-align:right;"> 0.979 </td>
## <td style="text-align:right;"> -2.106000e+01 </td>
## <td style="text-align:right;"> 2.458000e+01 </td>
## <td style="text-align:right;"> 4.564000e+01 </td>
## <td style="text-align:right;"> 0.673 </td>
## <td style="text-align:right;"> 8.774 </td>
## <td style="text-align:right;"> 6.660000e-01 </td>
## <td style="text-align:right;"> 1.110 </td>
## <td style="text-align:right;"> -0.550 </td>
## <td style="text-align:right;"> 0.560 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysSalesOutstanding.y.1. </td>
## <td style="text-align:right;"> 40 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 5.660300e+01 </td>
## <td style="text-align:right;"> 4.449300e+01 </td>
## <td style="text-align:right;"> 53.680 </td>
## <td style="text-align:right;"> 57.782 </td>
## <td style="text-align:right;"> 18.310 </td>
## <td style="text-align:right;"> -1.959100e+02 </td>
## <td style="text-align:right;"> 1.652700e+02 </td>
## <td style="text-align:right;"> 3.611800e+02 </td>
## <td style="text-align:right;"> -2.461 </td>
## <td style="text-align:right;"> 14.514 </td>
## <td style="text-align:right;"> 5.519000e+00 </td>
## <td style="text-align:right;"> 26.880 </td>
## <td style="text-align:right;"> 43.920 </td>
## <td style="text-align:right;"> 70.800 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> LaborCompRatio.y.1. </td>
## <td style="text-align:right;"> 41 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 4.980000e-01 </td>
## <td style="text-align:right;"> 1.750000e-01 </td>
## <td style="text-align:right;"> 0.490 </td>
## <td style="text-align:right;"> 0.487 </td>
## <td style="text-align:right;"> 0.208 </td>
## <td style="text-align:right;"> 2.100000e-01 </td>
## <td style="text-align:right;"> 1.040000e+00 </td>
## <td style="text-align:right;"> 8.300000e-01 </td>
## <td style="text-align:right;"> 0.579 </td>
## <td style="text-align:right;"> -0.044 </td>
## <td style="text-align:right;"> 2.200000e-02 </td>
## <td style="text-align:right;"> 0.290 </td>
## <td style="text-align:right;"> 0.340 </td>
## <td style="text-align:right;"> 0.630 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OpProfitMargin.y.1. </td>
## <td style="text-align:right;"> 42 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -1.200000e-01 </td>
## <td style="text-align:right;"> 2.410000e-01 </td>
## <td style="text-align:right;"> -0.120 </td>
## <td style="text-align:right;"> -0.105 </td>
## <td style="text-align:right;"> 0.133 </td>
## <td style="text-align:right;"> -1.010000e+00 </td>
## <td style="text-align:right;"> 3.600000e-01 </td>
## <td style="text-align:right;"> 1.370000e+00 </td>
## <td style="text-align:right;"> -1.200 </td>
## <td style="text-align:right;"> 3.669 </td>
## <td style="text-align:right;"> 3.000000e-02 </td>
## <td style="text-align:right;"> 0.190 </td>
## <td style="text-align:right;"> -0.190 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysCashOnHand.y.1. </td>
## <td style="text-align:right;"> 43 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.594300e+01 </td>
## <td style="text-align:right;"> 2.670300e+01 </td>
## <td style="text-align:right;"> 3.540 </td>
## <td style="text-align:right;"> 11.075 </td>
## <td style="text-align:right;"> 11.342 </td>
## <td style="text-align:right;"> -8.980000e+00 </td>
## <td style="text-align:right;"> 1.056400e+02 </td>
## <td style="text-align:right;"> 1.146200e+02 </td>
## <td style="text-align:right;"> 1.678 </td>
## <td style="text-align:right;"> 2.078 </td>
## <td style="text-align:right;"> 3.312000e+00 </td>
## <td style="text-align:right;"> 19.940 </td>
## <td style="text-align:right;"> -1.320 </td>
## <td style="text-align:right;"> 18.620 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> BedUtil.y.1. </td>
## <td style="text-align:right;"> 44 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.670000e-01 </td>
## <td style="text-align:right;"> 2.070000e-01 </td>
## <td style="text-align:right;"> 0.300 </td>
## <td style="text-align:right;"> 0.351 </td>
## <td style="text-align:right;"> 0.193 </td>
## <td style="text-align:right;"> 7.000000e-02 </td>
## <td style="text-align:right;"> 9.100000e-01 </td>
## <td style="text-align:right;"> 8.400000e-01 </td>
## <td style="text-align:right;"> 0.731 </td>
## <td style="text-align:right;"> -0.286 </td>
## <td style="text-align:right;"> 2.600000e-02 </td>
## <td style="text-align:right;"> 0.280 </td>
## <td style="text-align:right;"> 0.230 </td>
## <td style="text-align:right;"> 0.510 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AdjPxDays.y.1. </td>
## <td style="text-align:right;"> 45 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.830000e+00 </td>
## <td style="text-align:right;"> 2.809000e+00 </td>
## <td style="text-align:right;"> 3.107 </td>
## <td style="text-align:right;"> 3.569 </td>
## <td style="text-align:right;"> 2.811 </td>
## <td style="text-align:right;"> 1.180000e-01 </td>
## <td style="text-align:right;"> 1.240900e+01 </td>
## <td style="text-align:right;"> 1.229100e+01 </td>
## <td style="text-align:right;"> 0.809 </td>
## <td style="text-align:right;"> -0.034 </td>
## <td style="text-align:right;"> 3.480000e-01 </td>
## <td style="text-align:right;"> 3.964 </td>
## <td style="text-align:right;"> 1.585 </td>
## <td style="text-align:right;"> 5.548 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Alt1Ohls3.y.1. </td>
## <td style="text-align:right;"> 46 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -8.400000e-02 </td>
## <td style="text-align:right;"> 1.282000e+00 </td>
## <td style="text-align:right;"> 0.140 </td>
## <td style="text-align:right;"> 0.036 </td>
## <td style="text-align:right;"> 0.341 </td>
## <td style="text-align:right;"> -9.490000e+00 </td>
## <td style="text-align:right;"> 1.360000e+00 </td>
## <td style="text-align:right;"> 1.085000e+01 </td>
## <td style="text-align:right;"> -6.009 </td>
## <td style="text-align:right;"> 41.671 </td>
## <td style="text-align:right;"> 1.590000e-01 </td>
## <td style="text-align:right;"> 0.470 </td>
## <td style="text-align:right;"> -0.200 </td>
## <td style="text-align:right;"> 0.270 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX2.y.1. </td>
## <td style="text-align:right;"> 47 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -5.300000e-02 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> -0.060 </td>
## <td style="text-align:right;"> -0.065 </td>
## <td style="text-align:right;"> 0.148 </td>
## <td style="text-align:right;"> -4.500000e+00 </td>
## <td style="text-align:right;"> 3.720000e+00 </td>
## <td style="text-align:right;"> 8.220000e+00 </td>
## <td style="text-align:right;"> -0.605 </td>
## <td style="text-align:right;"> 9.082 </td>
## <td style="text-align:right;"> 1.240000e-01 </td>
## <td style="text-align:right;"> 0.200 </td>
## <td style="text-align:right;"> -0.170 </td>
## <td style="text-align:right;"> 0.030 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX3.y.1. </td>
## <td style="text-align:right;"> 48 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -1.350000e-01 </td>
## <td style="text-align:right;"> 7.610000e-01 </td>
## <td style="text-align:right;"> -0.060 </td>
## <td style="text-align:right;"> -0.057 </td>
## <td style="text-align:right;"> 0.237 </td>
## <td style="text-align:right;"> -5.750000e+00 </td>
## <td style="text-align:right;"> 7.000000e-01 </td>
## <td style="text-align:right;"> 6.450000e+00 </td>
## <td style="text-align:right;"> -6.132 </td>
## <td style="text-align:right;"> 42.685 </td>
## <td style="text-align:right;"> 9.400000e-02 </td>
## <td style="text-align:right;"> 0.300 </td>
## <td style="text-align:right;"> -0.220 </td>
## <td style="text-align:right;"> 0.080 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX4.y.1. </td>
## <td style="text-align:right;"> 49 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -5.835336e+08 </td>
## <td style="text-align:right;"> 4.207232e+09 </td>
## <td style="text-align:right;"> -0.080 </td>
## <td style="text-align:right;"> 4579764.309 </td>
## <td style="text-align:right;"> 0.163 </td>
## <td style="text-align:right;"> -2.914540e+10 </td>
## <td style="text-align:right;"> 5.545628e+09 </td>
## <td style="text-align:right;"> 3.469103e+10 </td>
## <td style="text-align:right;"> -5.521 </td>
## <td style="text-align:right;"> 32.547 </td>
## <td style="text-align:right;"> 5.218429e+08 </td>
## <td style="text-align:right;"> 0.210 </td>
## <td style="text-align:right;"> -0.180 </td>
## <td style="text-align:right;"> 0.030 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX1.y.1. </td>
## <td style="text-align:right;"> 50 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.090400e+01 </td>
## <td style="text-align:right;"> 1.070000e+00 </td>
## <td style="text-align:right;"> 10.940 </td>
## <td style="text-align:right;"> 10.971 </td>
## <td style="text-align:right;"> 1.023 </td>
## <td style="text-align:right;"> 7.770000e+00 </td>
## <td style="text-align:right;"> 1.277000e+01 </td>
## <td style="text-align:right;"> 5.000000e+00 </td>
## <td style="text-align:right;"> -0.588 </td>
## <td style="text-align:right;"> 0.062 </td>
## <td style="text-align:right;"> 1.330000e-01 </td>
## <td style="text-align:right;"> 1.460 </td>
## <td style="text-align:right;"> 10.280 </td>
## <td style="text-align:right;"> 11.740 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX2.y.1. </td>
## <td style="text-align:right;"> 51 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 9.930000e-01 </td>
## <td style="text-align:right;"> 2.158000e+00 </td>
## <td style="text-align:right;"> 0.730 </td>
## <td style="text-align:right;"> 0.744 </td>
## <td style="text-align:right;"> 0.638 </td>
## <td style="text-align:right;"> -1.600000e+00 </td>
## <td style="text-align:right;"> 1.668000e+01 </td>
## <td style="text-align:right;"> 1.828000e+01 </td>
## <td style="text-align:right;"> 5.873 </td>
## <td style="text-align:right;"> 40.038 </td>
## <td style="text-align:right;"> 2.680000e-01 </td>
## <td style="text-align:right;"> 0.840 </td>
## <td style="text-align:right;"> 0.210 </td>
## <td style="text-align:right;"> 1.050 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX4.y.1. </td>
## <td style="text-align:right;"> 52 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 9.440000e-01 </td>
## <td style="text-align:right;"> 1.829000e+00 </td>
## <td style="text-align:right;"> 0.690 </td>
## <td style="text-align:right;"> 0.855 </td>
## <td style="text-align:right;"> 0.919 </td>
## <td style="text-align:right;"> -5.460000e+00 </td>
## <td style="text-align:right;"> 6.630000e+00 </td>
## <td style="text-align:right;"> 1.209000e+01 </td>
## <td style="text-align:right;"> 0.216 </td>
## <td style="text-align:right;"> 2.936 </td>
## <td style="text-align:right;"> 2.270000e-01 </td>
## <td style="text-align:right;"> 1.260 </td>
## <td style="text-align:right;"> 0.280 </td>
## <td style="text-align:right;"> 1.540 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX6.y.1. </td>
## <td style="text-align:right;"> 53 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -1.510000e-01 </td>
## <td style="text-align:right;"> 9.350000e-01 </td>
## <td style="text-align:right;"> -0.040 </td>
## <td style="text-align:right;"> -0.052 </td>
## <td style="text-align:right;"> 0.163 </td>
## <td style="text-align:right;"> -7.390000e+00 </td>
## <td style="text-align:right;"> 6.300000e-01 </td>
## <td style="text-align:right;"> 8.020000e+00 </td>
## <td style="text-align:right;"> -7.123 </td>
## <td style="text-align:right;"> 52.387 </td>
## <td style="text-align:right;"> 1.160000e-01 </td>
## <td style="text-align:right;"> 0.200 </td>
## <td style="text-align:right;"> -0.170 </td>
## <td style="text-align:right;"> 0.030 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX7.y.1. </td>
## <td style="text-align:right;"> 54 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 2.268470e+08 </td>
## <td style="text-align:right;"> 7.127845e+08 </td>
## <td style="text-align:right;"> -0.080 </td>
## <td style="text-align:right;"> 30863335.939 </td>
## <td style="text-align:right;"> 0.252 </td>
## <td style="text-align:right;"> -4.748313e+08 </td>
## <td style="text-align:right;"> 3.380771e+09 </td>
## <td style="text-align:right;"> 3.855603e+09 </td>
## <td style="text-align:right;"> 3.117 </td>
## <td style="text-align:right;"> 9.024 </td>
## <td style="text-align:right;"> 8.841003e+07 </td>
## <td style="text-align:right;"> 0.350 </td>
## <td style="text-align:right;"> -0.200 </td>
## <td style="text-align:right;"> 0.150 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX9.y.1. </td>
## <td style="text-align:right;"> 55 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -8.899894e+06 </td>
## <td style="text-align:right;"> 4.791898e+07 </td>
## <td style="text-align:right;"> -2329416.000 </td>
## <td style="text-align:right;"> -3811671.868 </td>
## <td style="text-align:right;"> 6454586.573 </td>
## <td style="text-align:right;"> -2.914540e+08 </td>
## <td style="text-align:right;"> 8.103354e+07 </td>
## <td style="text-align:right;"> 3.724876e+08 </td>
## <td style="text-align:right;"> -3.528 </td>
## <td style="text-align:right;"> 17.865 </td>
## <td style="text-align:right;"> 5.943617e+06 </td>
## <td style="text-align:right;"> 8590542.000 </td>
## <td style="text-align:right;"> -6566399.000 </td>
## <td style="text-align:right;"> 2024143.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX5.y.1. </td>
## <td style="text-align:right;"> 56 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.690000e-01 </td>
## <td style="text-align:right;"> 4.860000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.340 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 0.529 </td>
## <td style="text-align:right;"> -1.746 </td>
## <td style="text-align:right;"> 6.000000e-02 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX8.y.1. </td>
## <td style="text-align:right;"> 57 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 6.150000e-01 </td>
## <td style="text-align:right;"> 4.900000e-01 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.642 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> -0.463 </td>
## <td style="text-align:right;"> -1.812 </td>
## <td style="text-align:right;"> 6.100000e-02 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> HC4_5.y.1. </td>
## <td style="text-align:right;"> 58 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.080000e-01 </td>
## <td style="text-align:right;"> 3.120000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.019 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 2.473 </td>
## <td style="text-align:right;"> 4.180 </td>
## <td style="text-align:right;"> 3.900000e-02 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AR_by_OpIncome.y.2. </td>
## <td style="text-align:right;"> 59 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 2.375000e+00 </td>
## <td style="text-align:right;"> 2.471000e+00 </td>
## <td style="text-align:right;"> 1.539 </td>
## <td style="text-align:right;"> 2.016 </td>
## <td style="text-align:right;"> 2.122 </td>
## <td style="text-align:right;"> 2.000000e-02 </td>
## <td style="text-align:right;"> 8.565000e+00 </td>
## <td style="text-align:right;"> 8.545000e+00 </td>
## <td style="text-align:right;"> 0.940 </td>
## <td style="text-align:right;"> -0.069 </td>
## <td style="text-align:right;"> 3.070000e-01 </td>
## <td style="text-align:right;"> 4.180 </td>
## <td style="text-align:right;"> 0.135 </td>
## <td style="text-align:right;"> 4.315 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> FB_Plus_OpInc_ByFB.y.2. </td>
## <td style="text-align:right;"> 60 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -1.161000e+00 </td>
## <td style="text-align:right;"> 1.212400e+01 </td>
## <td style="text-align:right;"> 0.970 </td>
## <td style="text-align:right;"> 0.950 </td>
## <td style="text-align:right;"> 0.356 </td>
## <td style="text-align:right;"> -7.298000e+01 </td>
## <td style="text-align:right;"> 3.090000e+00 </td>
## <td style="text-align:right;"> 7.607000e+01 </td>
## <td style="text-align:right;"> -5.328 </td>
## <td style="text-align:right;"> 27.007 </td>
## <td style="text-align:right;"> 1.504000e+00 </td>
## <td style="text-align:right;"> 0.460 </td>
## <td style="text-align:right;"> 0.730 </td>
## <td style="text-align:right;"> 1.190 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PercentMedicaidDays.y.2. </td>
## <td style="text-align:right;"> 61 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.030000e-01 </td>
## <td style="text-align:right;"> 1.070000e-01 </td>
## <td style="text-align:right;"> 0.060 </td>
## <td style="text-align:right;"> 0.084 </td>
## <td style="text-align:right;"> 0.059 </td>
## <td style="text-align:right;"> 1.000000e-02 </td>
## <td style="text-align:right;"> 4.500000e-01 </td>
## <td style="text-align:right;"> 4.400000e-01 </td>
## <td style="text-align:right;"> 1.687 </td>
## <td style="text-align:right;"> 2.402 </td>
## <td style="text-align:right;"> 1.300000e-02 </td>
## <td style="text-align:right;"> 0.110 </td>
## <td style="text-align:right;"> 0.030 </td>
## <td style="text-align:right;"> 0.140 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PercentMedicareDays.y.2. </td>
## <td style="text-align:right;"> 62 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.250000e-01 </td>
## <td style="text-align:right;"> 1.330000e-01 </td>
## <td style="text-align:right;"> 0.300 </td>
## <td style="text-align:right;"> 0.316 </td>
## <td style="text-align:right;"> 0.104 </td>
## <td style="text-align:right;"> 6.000000e-02 </td>
## <td style="text-align:right;"> 7.800000e-01 </td>
## <td style="text-align:right;"> 7.200000e-01 </td>
## <td style="text-align:right;"> 0.812 </td>
## <td style="text-align:right;"> 0.855 </td>
## <td style="text-align:right;"> 1.600000e-02 </td>
## <td style="text-align:right;"> 0.150 </td>
## <td style="text-align:right;"> 0.240 </td>
## <td style="text-align:right;"> 0.390 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> CurrentRatio.y.2. </td>
## <td style="text-align:right;"> 63 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.394000e+00 </td>
## <td style="text-align:right;"> 2.347000e+00 </td>
## <td style="text-align:right;"> 1.020 </td>
## <td style="text-align:right;"> 1.255 </td>
## <td style="text-align:right;"> 1.127 </td>
## <td style="text-align:right;"> -8.260000e+00 </td>
## <td style="text-align:right;"> 1.070000e+01 </td>
## <td style="text-align:right;"> 1.896000e+01 </td>
## <td style="text-align:right;"> 0.300 </td>
## <td style="text-align:right;"> 6.414 </td>
## <td style="text-align:right;"> 2.910000e-01 </td>
## <td style="text-align:right;"> 1.610 </td>
## <td style="text-align:right;"> 0.270 </td>
## <td style="text-align:right;"> 1.880 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Debt2Equity.y.2. </td>
## <td style="text-align:right;"> 64 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 4.573000e+00 </td>
## <td style="text-align:right;"> 2.157200e+01 </td>
## <td style="text-align:right;"> 0.320 </td>
## <td style="text-align:right;"> 0.525 </td>
## <td style="text-align:right;"> 0.741 </td>
## <td style="text-align:right;"> -5.230000e+00 </td>
## <td style="text-align:right;"> 1.558300e+02 </td>
## <td style="text-align:right;"> 1.610600e+02 </td>
## <td style="text-align:right;"> 5.833 </td>
## <td style="text-align:right;"> 35.855 </td>
## <td style="text-align:right;"> 2.676000e+00 </td>
## <td style="text-align:right;"> 1.100 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.100 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysSalesOutstanding.y.2. </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 5.975100e+01 </td>
## <td style="text-align:right;"> 2.838300e+01 </td>
## <td style="text-align:right;"> 56.640 </td>
## <td style="text-align:right;"> 57.276 </td>
## <td style="text-align:right;"> 19.363 </td>
## <td style="text-align:right;"> -1.972000e+01 </td>
## <td style="text-align:right;"> 1.743900e+02 </td>
## <td style="text-align:right;"> 1.941100e+02 </td>
## <td style="text-align:right;"> 1.150 </td>
## <td style="text-align:right;"> 3.952 </td>
## <td style="text-align:right;"> 3.521000e+00 </td>
## <td style="text-align:right;"> 25.310 </td>
## <td style="text-align:right;"> 45.130 </td>
## <td style="text-align:right;"> 70.440 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> LaborCompRatio.y.2. </td>
## <td style="text-align:right;"> 66 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 4.880000e-01 </td>
## <td style="text-align:right;"> 1.850000e-01 </td>
## <td style="text-align:right;"> 0.450 </td>
## <td style="text-align:right;"> 0.479 </td>
## <td style="text-align:right;"> 0.193 </td>
## <td style="text-align:right;"> 7.000000e-02 </td>
## <td style="text-align:right;"> 9.900000e-01 </td>
## <td style="text-align:right;"> 9.200000e-01 </td>
## <td style="text-align:right;"> 0.400 </td>
## <td style="text-align:right;"> -0.416 </td>
## <td style="text-align:right;"> 2.300000e-02 </td>
## <td style="text-align:right;"> 0.270 </td>
## <td style="text-align:right;"> 0.340 </td>
## <td style="text-align:right;"> 0.610 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OpProfitMargin.y.2. </td>
## <td style="text-align:right;"> 67 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -1.090000e-01 </td>
## <td style="text-align:right;"> 2.440000e-01 </td>
## <td style="text-align:right;"> -0.070 </td>
## <td style="text-align:right;"> -0.094 </td>
## <td style="text-align:right;"> 0.119 </td>
## <td style="text-align:right;"> -1.140000e+00 </td>
## <td style="text-align:right;"> 3.800000e-01 </td>
## <td style="text-align:right;"> 1.520000e+00 </td>
## <td style="text-align:right;"> -1.234 </td>
## <td style="text-align:right;"> 3.961 </td>
## <td style="text-align:right;"> 3.000000e-02 </td>
## <td style="text-align:right;"> 0.190 </td>
## <td style="text-align:right;"> -0.180 </td>
## <td style="text-align:right;"> 0.010 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysCashOnHand.y.2. </td>
## <td style="text-align:right;"> 68 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.645200e+01 </td>
## <td style="text-align:right;"> 2.851000e+01 </td>
## <td style="text-align:right;"> 1.880 </td>
## <td style="text-align:right;"> 11.058 </td>
## <td style="text-align:right;"> 9.978 </td>
## <td style="text-align:right;"> -7.850000e+00 </td>
## <td style="text-align:right;"> 1.110700e+02 </td>
## <td style="text-align:right;"> 1.189200e+02 </td>
## <td style="text-align:right;"> 1.641 </td>
## <td style="text-align:right;"> 1.806 </td>
## <td style="text-align:right;"> 3.536000e+00 </td>
## <td style="text-align:right;"> 25.670 </td>
## <td style="text-align:right;"> -0.910 </td>
## <td style="text-align:right;"> 24.760 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> BedUtil.y.2. </td>
## <td style="text-align:right;"> 69 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.660000e-01 </td>
## <td style="text-align:right;"> 1.920000e-01 </td>
## <td style="text-align:right;"> 0.310 </td>
## <td style="text-align:right;"> 0.353 </td>
## <td style="text-align:right;"> 0.163 </td>
## <td style="text-align:right;"> 7.000000e-02 </td>
## <td style="text-align:right;"> 9.300000e-01 </td>
## <td style="text-align:right;"> 8.600000e-01 </td>
## <td style="text-align:right;"> 0.731 </td>
## <td style="text-align:right;"> -0.054 </td>
## <td style="text-align:right;"> 2.400000e-02 </td>
## <td style="text-align:right;"> 0.260 </td>
## <td style="text-align:right;"> 0.240 </td>
## <td style="text-align:right;"> 0.500 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AdjPxDays.y.2. </td>
## <td style="text-align:right;"> 70 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.982000e+00 </td>
## <td style="text-align:right;"> 3.184000e+00 </td>
## <td style="text-align:right;"> 3.326 </td>
## <td style="text-align:right;"> 3.598 </td>
## <td style="text-align:right;"> 2.808 </td>
## <td style="text-align:right;"> 1.340000e-01 </td>
## <td style="text-align:right;"> 1.718900e+01 </td>
## <td style="text-align:right;"> 1.705400e+01 </td>
## <td style="text-align:right;"> 1.450 </td>
## <td style="text-align:right;"> 3.059 </td>
## <td style="text-align:right;"> 3.950000e-01 </td>
## <td style="text-align:right;"> 4.284 </td>
## <td style="text-align:right;"> 1.541 </td>
## <td style="text-align:right;"> 5.825 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Alt1Ohls3.y.2. </td>
## <td style="text-align:right;"> 71 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -1.061963e+08 </td>
## <td style="text-align:right;"> 8.561822e+08 </td>
## <td style="text-align:right;"> 0.080 </td>
## <td style="text-align:right;"> 0.024 </td>
## <td style="text-align:right;"> 0.237 </td>
## <td style="text-align:right;"> -6.902761e+09 </td>
## <td style="text-align:right;"> 4.530000e+00 </td>
## <td style="text-align:right;"> 6.902761e+09 </td>
## <td style="text-align:right;"> -7.694 </td>
## <td style="text-align:right;"> 58.092 </td>
## <td style="text-align:right;"> 1.061963e+08 </td>
## <td style="text-align:right;"> 0.310 </td>
## <td style="text-align:right;"> -0.080 </td>
## <td style="text-align:right;"> 0.230 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX2.y.2. </td>
## <td style="text-align:right;"> 72 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -2.520210e+07 </td>
## <td style="text-align:right;"> 2.031859e+08 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> -0.033 </td>
## <td style="text-align:right;"> 0.222 </td>
## <td style="text-align:right;"> -1.638137e+09 </td>
## <td style="text-align:right;"> 7.170000e+00 </td>
## <td style="text-align:right;"> 1.638137e+09 </td>
## <td style="text-align:right;"> -7.694 </td>
## <td style="text-align:right;"> 58.092 </td>
## <td style="text-align:right;"> 2.520210e+07 </td>
## <td style="text-align:right;"> 0.270 </td>
## <td style="text-align:right;"> -0.150 </td>
## <td style="text-align:right;"> 0.120 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX3.y.2. </td>
## <td style="text-align:right;"> 73 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -5.330247e+07 </td>
## <td style="text-align:right;"> 4.297382e+08 </td>
## <td style="text-align:right;"> -0.010 </td>
## <td style="text-align:right;"> -0.052 </td>
## <td style="text-align:right;"> 0.163 </td>
## <td style="text-align:right;"> -3.464660e+09 </td>
## <td style="text-align:right;"> 6.400000e-01 </td>
## <td style="text-align:right;"> 3.464660e+09 </td>
## <td style="text-align:right;"> -7.694 </td>
## <td style="text-align:right;"> 58.092 </td>
## <td style="text-align:right;"> 5.330247e+07 </td>
## <td style="text-align:right;"> 0.230 </td>
## <td style="text-align:right;"> -0.160 </td>
## <td style="text-align:right;"> 0.070 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX4.y.2. </td>
## <td style="text-align:right;"> 74 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -7.971323e+07 </td>
## <td style="text-align:right;"> 1.969878e+09 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.953 </td>
## <td style="text-align:right;"> 0.193 </td>
## <td style="text-align:right;"> -9.627826e+09 </td>
## <td style="text-align:right;"> 4.860965e+09 </td>
## <td style="text-align:right;"> 1.448879e+10 </td>
## <td style="text-align:right;"> -2.322 </td>
## <td style="text-align:right;"> 10.974 </td>
## <td style="text-align:right;"> 2.443333e+08 </td>
## <td style="text-align:right;"> 0.260 </td>
## <td style="text-align:right;"> -0.130 </td>
## <td style="text-align:right;"> 0.130 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX1.y.2. </td>
## <td style="text-align:right;"> 75 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.063300e+01 </td>
## <td style="text-align:right;"> 2.929000e+00 </td>
## <td style="text-align:right;"> 11.060 </td>
## <td style="text-align:right;"> 10.996 </td>
## <td style="text-align:right;"> 1.127 </td>
## <td style="text-align:right;"> -1.115000e+01 </td>
## <td style="text-align:right;"> 1.277000e+01 </td>
## <td style="text-align:right;"> 2.392000e+01 </td>
## <td style="text-align:right;"> -6.305 </td>
## <td style="text-align:right;"> 44.124 </td>
## <td style="text-align:right;"> 3.630000e-01 </td>
## <td style="text-align:right;"> 1.380 </td>
## <td style="text-align:right;"> 10.280 </td>
## <td style="text-align:right;"> 11.660 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX2.y.2. </td>
## <td style="text-align:right;"> 76 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.036536e+08 </td>
## <td style="text-align:right;"> 8.356820e+08 </td>
## <td style="text-align:right;"> 0.740 </td>
## <td style="text-align:right;"> 0.788 </td>
## <td style="text-align:right;"> 0.578 </td>
## <td style="text-align:right;"> -4.200000e+00 </td>
## <td style="text-align:right;"> 6.737484e+09 </td>
## <td style="text-align:right;"> 6.737484e+09 </td>
## <td style="text-align:right;"> 7.694 </td>
## <td style="text-align:right;"> 58.092 </td>
## <td style="text-align:right;"> 1.036536e+08 </td>
## <td style="text-align:right;"> 0.760 </td>
## <td style="text-align:right;"> 0.370 </td>
## <td style="text-align:right;"> 1.130 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX4.y.2. </td>
## <td style="text-align:right;"> 77 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 2.627500e+01 </td>
## <td style="text-align:right;"> 2.078770e+02 </td>
## <td style="text-align:right;"> 0.700 </td>
## <td style="text-align:right;"> 0.944 </td>
## <td style="text-align:right;"> 0.712 </td>
## <td style="text-align:right;"> -3.233000e+01 </td>
## <td style="text-align:right;"> 1.675990e+03 </td>
## <td style="text-align:right;"> 1.708320e+03 </td>
## <td style="text-align:right;"> 7.687 </td>
## <td style="text-align:right;"> 58.023 </td>
## <td style="text-align:right;"> 2.578400e+01 </td>
## <td style="text-align:right;"> 0.950 </td>
## <td style="text-align:right;"> 0.320 </td>
## <td style="text-align:right;"> 1.270 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX6.y.2. </td>
## <td style="text-align:right;"> 78 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -4.155330e+07 </td>
## <td style="text-align:right;"> 3.350134e+08 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> -0.020 </td>
## <td style="text-align:right;"> 0.133 </td>
## <td style="text-align:right;"> -2.700965e+09 </td>
## <td style="text-align:right;"> 6.400000e-01 </td>
## <td style="text-align:right;"> 2.700965e+09 </td>
## <td style="text-align:right;"> -7.694 </td>
## <td style="text-align:right;"> 58.092 </td>
## <td style="text-align:right;"> 4.155330e+07 </td>
## <td style="text-align:right;"> 0.190 </td>
## <td style="text-align:right;"> -0.130 </td>
## <td style="text-align:right;"> 0.060 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX7.y.2. </td>
## <td style="text-align:right;"> 79 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 2.484816e+08 </td>
## <td style="text-align:right;"> 8.655635e+08 </td>
## <td style="text-align:right;"> -0.030 </td>
## <td style="text-align:right;"> 14021543.385 </td>
## <td style="text-align:right;"> 0.208 </td>
## <td style="text-align:right;"> -2.206207e+08 </td>
## <td style="text-align:right;"> 4.385387e+09 </td>
## <td style="text-align:right;"> 4.606007e+09 </td>
## <td style="text-align:right;"> 3.678 </td>
## <td style="text-align:right;"> 13.142 </td>
## <td style="text-align:right;"> 1.073599e+08 </td>
## <td style="text-align:right;"> 0.330 </td>
## <td style="text-align:right;"> -0.240 </td>
## <td style="text-align:right;"> 0.090 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX9.y.2. </td>
## <td style="text-align:right;"> 80 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -1.616474e+06 </td>
## <td style="text-align:right;"> 4.254487e+07 </td>
## <td style="text-align:right;"> 131891.000 </td>
## <td style="text-align:right;"> -874270.755 </td>
## <td style="text-align:right;"> 8117512.246 </td>
## <td style="text-align:right;"> -1.457655e+08 </td>
## <td style="text-align:right;"> 1.671678e+08 </td>
## <td style="text-align:right;"> 3.129332e+08 </td>
## <td style="text-align:right;"> 0.174 </td>
## <td style="text-align:right;"> 4.608 </td>
## <td style="text-align:right;"> 5.277041e+06 </td>
## <td style="text-align:right;"> 9791674.000 </td>
## <td style="text-align:right;"> -5343296.000 </td>
## <td style="text-align:right;"> 4448378.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX5.y.2. </td>
## <td style="text-align:right;"> 81 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.380000e-01 </td>
## <td style="text-align:right;"> 4.770000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.302 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 0.667 </td>
## <td style="text-align:right;"> -1.579 </td>
## <td style="text-align:right;"> 5.900000e-02 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX8.y.2. </td>
## <td style="text-align:right;"> 82 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 4.620000e-01 </td>
## <td style="text-align:right;"> 5.020000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.453 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 0.151 </td>
## <td style="text-align:right;"> -2.007 </td>
## <td style="text-align:right;"> 6.200000e-02 </td>
## <td style="text-align:right;"> 1.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 1.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_AR_by_OpIncome </td>
## <td style="text-align:right;"> 83 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 4.130000e+00 </td>
## <td style="text-align:right;"> 1.063000e+01 </td>
## <td style="text-align:right;"> 0.013 </td>
## <td style="text-align:right;"> 1.992 </td>
## <td style="text-align:right;"> 0.893 </td>
## <td style="text-align:right;"> -9.890000e-01 </td>
## <td style="text-align:right;"> 7.190000e+01 </td>
## <td style="text-align:right;"> 7.288900e+01 </td>
## <td style="text-align:right;"> 4.250 </td>
## <td style="text-align:right;"> 22.865 </td>
## <td style="text-align:right;"> 1.318000e+00 </td>
## <td style="text-align:right;"> 3.013 </td>
## <td style="text-align:right;"> -0.324 </td>
## <td style="text-align:right;"> 2.690 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_FB_Plus_OpInc_ByFB </td>
## <td style="text-align:right;"> 84 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 8.182000e+00 </td>
## <td style="text-align:right;"> 7.766200e+01 </td>
## <td style="text-align:right;"> -0.145 </td>
## <td style="text-align:right;"> -0.446 </td>
## <td style="text-align:right;"> 0.319 </td>
## <td style="text-align:right;"> -3.377800e+01 </td>
## <td style="text-align:right;"> 6.228300e+02 </td>
## <td style="text-align:right;"> 6.566080e+02 </td>
## <td style="text-align:right;"> 7.621 </td>
## <td style="text-align:right;"> 57.363 </td>
## <td style="text-align:right;"> 9.633000e+00 </td>
## <td style="text-align:right;"> 0.592 </td>
## <td style="text-align:right;"> -0.615 </td>
## <td style="text-align:right;"> -0.023 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_CurrentRatio </td>
## <td style="text-align:right;"> 85 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -1.460000e-01 </td>
## <td style="text-align:right;"> 9.850000e-01 </td>
## <td style="text-align:right;"> -0.228 </td>
## <td style="text-align:right;"> -0.255 </td>
## <td style="text-align:right;"> 0.337 </td>
## <td style="text-align:right;"> -3.500000e+00 </td>
## <td style="text-align:right;"> 3.304000e+00 </td>
## <td style="text-align:right;"> 6.804000e+00 </td>
## <td style="text-align:right;"> 1.152 </td>
## <td style="text-align:right;"> 5.322 </td>
## <td style="text-align:right;"> 1.220000e-01 </td>
## <td style="text-align:right;"> 0.448 </td>
## <td style="text-align:right;"> -0.448 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_Debt2Equity </td>
## <td style="text-align:right;"> 86 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -9.021000e+00 </td>
## <td style="text-align:right;"> 9.492700e+01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> -0.063 </td>
## <td style="text-align:right;"> 0.539 </td>
## <td style="text-align:right;"> -7.519770e+02 </td>
## <td style="text-align:right;"> 1.195000e+02 </td>
## <td style="text-align:right;"> 8.714770e+02 </td>
## <td style="text-align:right;"> -7.334 </td>
## <td style="text-align:right;"> 54.781 </td>
## <td style="text-align:right;"> 1.177400e+01 </td>
## <td style="text-align:right;"> 0.697 </td>
## <td style="text-align:right;"> -0.363 </td>
## <td style="text-align:right;"> 0.333 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_LiabFundBalRatio </td>
## <td style="text-align:right;"> 87 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -1.186300e+01 </td>
## <td style="text-align:right;"> 9.607500e+01 </td>
## <td style="text-align:right;"> -0.066 </td>
## <td style="text-align:right;"> -0.213 </td>
## <td style="text-align:right;"> 0.786 </td>
## <td style="text-align:right;"> -7.742250e+02 </td>
## <td style="text-align:right;"> 1.800000e+01 </td>
## <td style="text-align:right;"> 7.922250e+02 </td>
## <td style="text-align:right;"> -7.684 </td>
## <td style="text-align:right;"> 57.994 </td>
## <td style="text-align:right;"> 1.191700e+01 </td>
## <td style="text-align:right;"> 1.044 </td>
## <td style="text-align:right;"> -0.700 </td>
## <td style="text-align:right;"> 0.344 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_DaysSalesOutstanding </td>
## <td style="text-align:right;"> 88 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 4.010000e-01 </td>
## <td style="text-align:right;"> 2.570000e+00 </td>
## <td style="text-align:right;"> -0.028 </td>
## <td style="text-align:right;"> -0.022 </td>
## <td style="text-align:right;"> 0.192 </td>
## <td style="text-align:right;"> -7.240000e-01 </td>
## <td style="text-align:right;"> 1.969300e+01 </td>
## <td style="text-align:right;"> 2.041700e+01 </td>
## <td style="text-align:right;"> 6.629 </td>
## <td style="text-align:right;"> 46.044 </td>
## <td style="text-align:right;"> 3.190000e-01 </td>
## <td style="text-align:right;"> 0.266 </td>
## <td style="text-align:right;"> -0.165 </td>
## <td style="text-align:right;"> 0.100 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_LaborCompRatio </td>
## <td style="text-align:right;"> 89 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.070000e-01 </td>
## <td style="text-align:right;"> 6.600000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.009 </td>
## <td style="text-align:right;"> 0.096 </td>
## <td style="text-align:right;"> -3.440000e-01 </td>
## <td style="text-align:right;"> 5.096000e+00 </td>
## <td style="text-align:right;"> 5.441000e+00 </td>
## <td style="text-align:right;"> 6.709 </td>
## <td style="text-align:right;"> 47.373 </td>
## <td style="text-align:right;"> 8.200000e-02 </td>
## <td style="text-align:right;"> 0.128 </td>
## <td style="text-align:right;"> -0.063 </td>
## <td style="text-align:right;"> 0.065 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OpProfitMargin </td>
## <td style="text-align:right;"> 90 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.500000e-02 </td>
## <td style="text-align:right;"> 2.063000e+00 </td>
## <td style="text-align:right;"> -0.125 </td>
## <td style="text-align:right;"> -0.051 </td>
## <td style="text-align:right;"> 0.772 </td>
## <td style="text-align:right;"> -7.000000e+00 </td>
## <td style="text-align:right;"> 9.356000e+00 </td>
## <td style="text-align:right;"> 1.635600e+01 </td>
## <td style="text-align:right;"> 0.913 </td>
## <td style="text-align:right;"> 7.131 </td>
## <td style="text-align:right;"> 2.560000e-01 </td>
## <td style="text-align:right;"> 1.053 </td>
## <td style="text-align:right;"> -0.636 </td>
## <td style="text-align:right;"> 0.417 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_DaysCashOnHand </td>
## <td style="text-align:right;"> 91 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.919000e+01 </td>
## <td style="text-align:right;"> 2.501270e+02 </td>
## <td style="text-align:right;"> -0.114 </td>
## <td style="text-align:right;"> 0.044 </td>
## <td style="text-align:right;"> 0.867 </td>
## <td style="text-align:right;"> -1.558300e+01 </td>
## <td style="text-align:right;"> 1.936500e+03 </td>
## <td style="text-align:right;"> 1.952083e+03 </td>
## <td style="text-align:right;"> 6.879 </td>
## <td style="text-align:right;"> 48.307 </td>
## <td style="text-align:right;"> 3.102400e+01 </td>
## <td style="text-align:right;"> 1.226 </td>
## <td style="text-align:right;"> -0.675 </td>
## <td style="text-align:right;"> 0.551 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_BedUtil </td>
## <td style="text-align:right;"> 92 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 4.100000e-02 </td>
## <td style="text-align:right;"> 5.200000e-01 </td>
## <td style="text-align:right;"> -0.036 </td>
## <td style="text-align:right;"> -0.020 </td>
## <td style="text-align:right;"> 0.082 </td>
## <td style="text-align:right;"> -5.910000e-01 </td>
## <td style="text-align:right;"> 3.857000e+00 </td>
## <td style="text-align:right;"> 4.448000e+00 </td>
## <td style="text-align:right;"> 6.073 </td>
## <td style="text-align:right;"> 41.898 </td>
## <td style="text-align:right;"> 6.400000e-02 </td>
## <td style="text-align:right;"> 0.134 </td>
## <td style="text-align:right;"> -0.091 </td>
## <td style="text-align:right;"> 0.043 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_AdjPxDays </td>
## <td style="text-align:right;"> 93 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -4.000000e-03 </td>
## <td style="text-align:right;"> 2.350000e-01 </td>
## <td style="text-align:right;"> -0.014 </td>
## <td style="text-align:right;"> -0.014 </td>
## <td style="text-align:right;"> 0.102 </td>
## <td style="text-align:right;"> -8.130000e-01 </td>
## <td style="text-align:right;"> 1.154000e+00 </td>
## <td style="text-align:right;"> 1.967000e+00 </td>
## <td style="text-align:right;"> 1.341 </td>
## <td style="text-align:right;"> 9.371 </td>
## <td style="text-align:right;"> 2.900000e-02 </td>
## <td style="text-align:right;"> 0.124 </td>
## <td style="text-align:right;"> -0.070 </td>
## <td style="text-align:right;"> 0.055 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_Alt1Ohls3 </td>
## <td style="text-align:right;"> 94 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.700000e-01 </td>
## <td style="text-align:right;"> 2.427000e+00 </td>
## <td style="text-align:right;"> 0.125 </td>
## <td style="text-align:right;"> 0.110 </td>
## <td style="text-align:right;"> 0.803 </td>
## <td style="text-align:right;"> -8.286000e+00 </td>
## <td style="text-align:right;"> 1.366700e+01 </td>
## <td style="text-align:right;"> 2.195200e+01 </td>
## <td style="text-align:right;"> 1.955 </td>
## <td style="text-align:right;"> 14.977 </td>
## <td style="text-align:right;"> 3.010000e-01 </td>
## <td style="text-align:right;"> 1.072 </td>
## <td style="text-align:right;"> -0.455 </td>
## <td style="text-align:right;"> 0.618 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_AltmanX2 </td>
## <td style="text-align:right;"> 95 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -6.170000e-01 </td>
## <td style="text-align:right;"> 4.192000e+00 </td>
## <td style="text-align:right;"> -0.489 </td>
## <td style="text-align:right;"> -0.629 </td>
## <td style="text-align:right;"> 1.129 </td>
## <td style="text-align:right;"> -1.863600e+01 </td>
## <td style="text-align:right;"> 1.700000e+01 </td>
## <td style="text-align:right;"> 3.563600e+01 </td>
## <td style="text-align:right;"> -0.024 </td>
## <td style="text-align:right;"> 8.146 </td>
## <td style="text-align:right;"> 5.200000e-01 </td>
## <td style="text-align:right;"> 1.630 </td>
## <td style="text-align:right;"> -1.407 </td>
## <td style="text-align:right;"> 0.222 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_AltmanX3 </td>
## <td style="text-align:right;"> 96 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -7.590000e-01 </td>
## <td style="text-align:right;"> 3.236000e+00 </td>
## <td style="text-align:right;"> -0.286 </td>
## <td style="text-align:right;"> -0.438 </td>
## <td style="text-align:right;"> 0.819 </td>
## <td style="text-align:right;"> -2.100000e+01 </td>
## <td style="text-align:right;"> 8.000000e+00 </td>
## <td style="text-align:right;"> 2.900000e+01 </td>
## <td style="text-align:right;"> -3.510 </td>
## <td style="text-align:right;"> 21.874 </td>
## <td style="text-align:right;"> 4.010000e-01 </td>
## <td style="text-align:right;"> 1.161 </td>
## <td style="text-align:right;"> -1.000 </td>
## <td style="text-align:right;"> 0.161 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_AltmanX4 </td>
## <td style="text-align:right;"> 97 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 4.108209e+07 </td>
## <td style="text-align:right;"> 2.931489e+08 </td>
## <td style="text-align:right;"> -0.625 </td>
## <td style="text-align:right;"> -0.984 </td>
## <td style="text-align:right;"> 1.112 </td>
## <td style="text-align:right;"> -4.214563e+07 </td>
## <td style="text-align:right;"> 2.338349e+09 </td>
## <td style="text-align:right;"> 2.380494e+09 </td>
## <td style="text-align:right;"> 7.423 </td>
## <td style="text-align:right;"> 55.046 </td>
## <td style="text-align:right;"> 3.636065e+07 </td>
## <td style="text-align:right;"> 1.563 </td>
## <td style="text-align:right;"> -1.480 </td>
## <td style="text-align:right;"> 0.083 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX1 </td>
## <td style="text-align:right;"> 98 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -1.000000e-03 </td>
## <td style="text-align:right;"> 3.600000e-02 </td>
## <td style="text-align:right;"> -0.005 </td>
## <td style="text-align:right;"> -0.005 </td>
## <td style="text-align:right;"> 0.009 </td>
## <td style="text-align:right;"> -4.600000e-02 </td>
## <td style="text-align:right;"> 2.540000e-01 </td>
## <td style="text-align:right;"> 3.000000e-01 </td>
## <td style="text-align:right;"> 5.419 </td>
## <td style="text-align:right;"> 35.364 </td>
## <td style="text-align:right;"> 4.000000e-03 </td>
## <td style="text-align:right;"> 0.012 </td>
## <td style="text-align:right;"> -0.011 </td>
## <td style="text-align:right;"> 0.001 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX2 </td>
## <td style="text-align:right;"> 99 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 6.160000e-01 </td>
## <td style="text-align:right;"> 2.999000e+00 </td>
## <td style="text-align:right;"> 0.117 </td>
## <td style="text-align:right;"> 0.170 </td>
## <td style="text-align:right;"> 0.175 </td>
## <td style="text-align:right;"> -3.333000e+00 </td>
## <td style="text-align:right;"> 2.200000e+01 </td>
## <td style="text-align:right;"> 2.533300e+01 </td>
## <td style="text-align:right;"> 5.734 </td>
## <td style="text-align:right;"> 37.296 </td>
## <td style="text-align:right;"> 3.720000e-01 </td>
## <td style="text-align:right;"> 0.234 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.234 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX4 </td>
## <td style="text-align:right;"> 100 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.637000e+00 </td>
## <td style="text-align:right;"> 6.192000e+00 </td>
## <td style="text-align:right;"> 0.231 </td>
## <td style="text-align:right;"> 0.411 </td>
## <td style="text-align:right;"> 0.518 </td>
## <td style="text-align:right;"> -3.613000e+00 </td>
## <td style="text-align:right;"> 4.100000e+01 </td>
## <td style="text-align:right;"> 4.461300e+01 </td>
## <td style="text-align:right;"> 4.928 </td>
## <td style="text-align:right;"> 25.916 </td>
## <td style="text-align:right;"> 7.680000e-01 </td>
## <td style="text-align:right;"> 0.677 </td>
## <td style="text-align:right;"> -0.055 </td>
## <td style="text-align:right;"> 0.621 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX6 </td>
## <td style="text-align:right;"> 101 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -5.800000e-01 </td>
## <td style="text-align:right;"> 3.013000e+00 </td>
## <td style="text-align:right;"> -0.379 </td>
## <td style="text-align:right;"> -0.316 </td>
## <td style="text-align:right;"> 1.003 </td>
## <td style="text-align:right;"> -1.400000e+01 </td>
## <td style="text-align:right;"> 6.000000e+00 </td>
## <td style="text-align:right;"> 2.000000e+01 </td>
## <td style="text-align:right;"> -1.624 </td>
## <td style="text-align:right;"> 5.875 </td>
## <td style="text-align:right;"> 3.740000e-01 </td>
## <td style="text-align:right;"> 1.300 </td>
## <td style="text-align:right;"> -1.000 </td>
## <td style="text-align:right;"> 0.300 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX7 </td>
## <td style="text-align:right;"> 102 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 3.733978e+07 </td>
## <td style="text-align:right;"> 2.676257e+08 </td>
## <td style="text-align:right;"> -0.300 </td>
## <td style="text-align:right;"> -0.471 </td>
## <td style="text-align:right;"> 0.750 </td>
## <td style="text-align:right;"> -2.400000e+01 </td>
## <td style="text-align:right;"> 2.147964e+09 </td>
## <td style="text-align:right;"> 2.147964e+09 </td>
## <td style="text-align:right;"> 7.551 </td>
## <td style="text-align:right;"> 56.520 </td>
## <td style="text-align:right;"> 3.319488e+07 </td>
## <td style="text-align:right;"> 1.116 </td>
## <td style="text-align:right;"> -1.000 </td>
## <td style="text-align:right;"> 0.116 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX9 </td>
## <td style="text-align:right;"> 103 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> -9.480000e-01 </td>
## <td style="text-align:right;"> 4.933000e+00 </td>
## <td style="text-align:right;"> -0.583 </td>
## <td style="text-align:right;"> -0.848 </td>
## <td style="text-align:right;"> 1.120 </td>
## <td style="text-align:right;"> -1.958700e+01 </td>
## <td style="text-align:right;"> 2.073500e+01 </td>
## <td style="text-align:right;"> 4.032200e+01 </td>
## <td style="text-align:right;"> 0.299 </td>
## <td style="text-align:right;"> 8.323 </td>
## <td style="text-align:right;"> 6.120000e-01 </td>
## <td style="text-align:right;"> 1.639 </td>
## <td style="text-align:right;"> -1.520 </td>
## <td style="text-align:right;"> 0.119 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> NegLiab.y.1. </td>
## <td style="text-align:right;"> 104 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.540000e-01 </td>
## <td style="text-align:right;"> 3.640000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.075 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.875 </td>
## <td style="text-align:right;"> 1.539 </td>
## <td style="text-align:right;"> 4.500000e-02 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> NegLiab.y.2. </td>
## <td style="text-align:right;"> 105 </td>
## <td style="text-align:right;"> 65 </td>
## <td style="text-align:right;"> 1.230000e-01 </td>
## <td style="text-align:right;"> 3.310000e-01 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.038 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 1.000000e+00 </td>
## <td style="text-align:right;"> 2.242 </td>
## <td style="text-align:right;"> 3.074 </td>
## <td style="text-align:right;"> 4.100000e-02 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## <td style="text-align:right;"> 0.000 </td>
## </tr>
## </tbody>
## </table>Counts
# Print the frequency table of the 'Bankrupt' column in the 'bankrupt' data frame
myprint(table(bankrupt$Bankrupt))##
## 0 1
## 3026 65Correlations
# Extract columns 46 to 57 from the 'bankrupt' data frame
# These columns represent Altman/Ohlson data for the year y-1 and assign it to 'altohls'
altohls <- bankrupt[, 46:57] # @y-1
# Extract columns 71 to 82 from the 'bankrupt' data frame
# These columns represent data for the year y-2 and assign it to 'altohls2'
altohls2 <- bankrupt[, 71:82] # @y-2
# Extract columns 34 to 45 from the 'bankrupt' data frame
# These columns represent lagged data for the year y-1 and assign it to 'lag'
lag <- bankrupt[, 34:45] # @y-1
# Extract columns 59 to 70 from the 'bankrupt' data frame
# These columns represent lagged data for the year y-2 and assign it to 'lag2'
lag2 <- bankrupt[, 59:70] # @y-2
# Extract columns 83 to 93 from the 'bankrupt' data frame
# These columns represent delta (change) data and assign it to 'delta'
delta <- bankrupt[, 83:93]
# Calculate and plot the correlation matrix for the 'altohls' data frame
corfunction(altohls)
# Calculate and plot the correlation matrix for the 'altohls2' data frame
corfunction(altohls2)
# Calculate and plot the correlation matrix for the 'lag' data frame
corfunction(lag)
# Calculate and plot the correlation matrix for the 'lag2' data frame
corfunction(lag2)
# Calculate and plot the correlation matrix for the 'delta' data frame
corfunction(delta)
Distributions / Box Cox
- Note: We deliberately did not use transformations to support practitioner use. #We did investigate the optimal Box-Cox transformations, however. *
temp=bankrupt[, 1:ncol(bankrupt)] for (i in 1:ncol(temp)){ par(mfrow=c(1,2)) hist(temp[,i],main=colnames(temp)[i], breaks=20) tmp=temp[,i]+abs(min(temp[,i]))+.01 try(hist(tmp^powerTransform(tmp)\(lambda,main=paste0(colnames(temp)[i],"^" ,powerTransform(tmp)\)lambda), breaks=20), silent=TRUE)}
Training / Validation Sets
We use a stratified split of the original data to be sure sufficient observations of bankrupt were in each group.
set.seed(1234)
# Convert row names to numeric for bankruptcy and non-bankruptcy cases
brpt <- as.numeric(rownames(bankrupt[bankrupt$Bankrupt == 1,])) # bankruptcy cases
nbrpt <- as.numeric(rownames(bankrupt[bankrupt$Bankrupt == 0,])) # non-bankruptcy cases
# Define a function to generate a subsample
mysub <- function(x) {
tmp1 <- sample(brpt, x * length(brpt)) # bankruptcy sample observations
tmp2 <- sample(nbrpt, x * length(nbrpt)) # non-bankruptcy sample observations
tmp <- c(tmp1, tmp2) # conjoined
return(tmp)
}
# Define a function to create train and test sets based on the sample proportion
create_train_test <- function(sample_proportion) {
mys <- mysub(sample_proportion)
train <- bankrupt[mys,] # filtering train set
test <- bankrupt[-mys,] # filtering test set
list(train = train, test = test)
}
# Create train and test sets for different sample proportions
data_sets <- list(
set1 = create_train_test(0.5),
set2 = create_train_test(0.6),
set3 = create_train_test(0.7),
set4 = create_train_test(0.8),
set5 = create_train_test(0.9)
)
# Print tables of the 'Bankrupt' column for train and test sets
for (set_name in names(data_sets)) {
cat("\n", set_name, ":\n")
cat("Train:\n")
print(table(data_sets[[set_name]]$train$Bankrupt))
cat("Test:\n")
print(table(data_sets[[set_name]]$test$Bankrupt))
}##
## set1 :
## Train:
##
## 0 1
## 1513 32
## Test:
##
## 0 1
## 1513 33
##
## set2 :
## Train:
##
## 0 1
## 1815 39
## Test:
##
## 0 1
## 1211 26
##
## set3 :
## Train:
##
## 0 1
## 2118 45
## Test:
##
## 0 1
## 908 20
##
## set4 :
## Train:
##
## 0 1
## 2420 52
## Test:
##
## 0 1
## 606 13
##
## set5 :
## Train:
##
## 0 1
## 2723 58
## Test:
##
## 0 1
## 303 7Interim Write / Read
write.csv(data_sets$set1$train, 'interim1.csv', row.names=FALSE) #write csv
write.csv(data_sets$set2$train, 'interim2.csv', row.names=FALSE) #write csv
write.csv(data_sets$set3$train, 'interim3.csv', row.names=FALSE) #write csv
write.csv(data_sets$set4$train, 'interim4.csv', row.names=FALSE) #write csv
write.csv(data_sets$set5$train, 'interim5.csv', row.names=FALSE) #write csv
t1=read.csv('interim1.csv',stringsAsFactors = T)
t2=read.csv('interim2.csv',stringsAsFactors = T)
t3=read.csv('interim3.csv',stringsAsFactors = T)
t4=read.csv('interim4.csv', stringsAsFactors = T)
t5=read.csv('interim5.csv', stringsAsFactors = T)Scale-Not Done for Interpretability
- We scale only for models requiring it. Specifically, we scale for ElasticNet applied to the training set (3-Fold CV), the Perceptron, and the Support Vector Machine estimates.
Rebalance Training Set
The data are highly imbalanced. We generate observations to learn about bankruptcy. We use mwmote to focus our search on noisy observations.
library(imbalance)
#Rebalance using mwmote
myrebalance=function(x,n)
{
tmp1=mwmote(x, numInstances = n*(table(x$Bankrupt)[1]-table(x$Bankrupt)[2]), classAttr = "Bankrupt") #noisy oversample
return(rbind(x,tmp1))
}
train1=myrebalance(t1,1)
train2=myrebalance(t2,1)
train3=myrebalance(t3,1)
train4=myrebalance(t4,1)
train5=myrebalance(t5,1)
test1=data_sets$set1$test
test2=data_sets$set2$test
test3=data_sets$set3$test
test4=data_sets$set4$test
test5=data_sets$set5$testDescribe Rebalanced Sets
# Compute summary statistics for the 'train' data frame
describe(train1, IQR = TRUE, quant = c(.25, .75))## vars n mean sd median
## Bankrupt 1 3026 0.50 5.000000e-01 0.50
## Year 2 3026 2014.09 3.830000e+00 2014.00
## AR_by_OpIncome 3 3026 2.65 2.390000e+00 1.77
## FB_Plus_OpInc_ByFB 4 3026 0.98 4.170000e+00 0.92
## PercentMedicaidDays 5 3026 0.08 8.000000e-02 0.06
## PercentMedicareDays 6 3026 0.33 1.000000e-01 0.32
## CurrentRatio 7 3026 4.07 1.291200e+02 1.26
## Debt2Equity 8 3026 -0.12 1.407000e+01 0.40
## DaysSalesOutstanding 9 3026 50.20 1.050900e+02 46.25
## LaborCompRatio 10 3026 0.54 5.100000e-01 0.45
## OpProfitMargin 11 3026 -0.21 8.900000e-01 -0.09
## DaysCashOnHand 12 3026 29.08 8.792000e+01 6.15
## BedUtil 13 3026 0.42 1.800000e-01 0.39
## AdjPxDays 14 3026 6.30 7.760000e+00 4.03
## Alt1Ohls3 15 3026 -15543542.08 6.202158e+08 0.05
## AltmanX2 16 3026 -14895313.37 5.466000e+08 -0.03
## AltmanX3 17 3026 -4122257.49 1.402914e+08 -0.05
## AltmanX4 18 3026 197149569.93 3.216701e+09 -0.03
## OhlsonX1 19 3026 11.45 1.830000e+00 11.36
## OhlsonX2 20 3026 -15587544.67 7.410010e+08 0.64
## OhlsonX4 21 3026 1.25 3.190000e+00 0.85
## OhlsonX6 22 3026 -4874910.22 2.245140e+08 -0.03
## OhlsonX7 23 3026 182056349.36 1.379865e+09 -0.05
## OhlsonX9 24 3026 6234324.98 9.197613e+07 -1938827.00
## OhlsonX5 25 3026 0.25 4.300000e-01 0.00
## OhlsonX8 26 3026 0.48 5.000000e-01 0.00
## Govt 27 3026 0.08 2.700000e-01 0.00
## Urban 28 3026 0.06 2.400000e-01 0.00
## ForProfit 29 3026 0.27 4.500000e-01 0.00
## HC1 30 3026 0.05 2.100000e-01 0.00
## HC2 31 3026 0.17 3.800000e-01 0.00
## HC4 32 3026 0.13 3.400000e-01 0.00
## HC5 33 3026 0.06 2.400000e-01 0.00
## AR_by_OpIncome.y.1. 34 3026 2.76 2.360000e+00 2.33
## FB_Plus_OpInc_ByFB.y.1. 35 3026 1.49 2.833000e+01 0.91
## PercentMedicaidDays.y.1. 36 3026 0.08 8.000000e-02 0.06
## PercentMedicareDays.y.1. 37 3026 0.33 1.000000e-01 0.32
## CurrentRatio.y.1. 38 3026 1.99 3.123000e+01 1.45
## Debt2Equity.y.1. 39 3026 2.44 9.165000e+01 0.42
## DaysSalesOutstanding.y.1. 40 3026 53.13 9.362000e+01 51.07
## LaborCompRatio.y.1. 41 3026 0.48 1.400000e-01 0.45
## OpProfitMargin.y.1. 42 3026 -0.09 2.100000e-01 -0.08
## DaysCashOnHand.y.1. 43 3026 35.38 9.036000e+01 17.13
## BedUtil.y.1. 44 3026 0.43 1.800000e-01 0.41
## AdjPxDays.y.1. 45 3026 6.33 7.590000e+00 4.19
## Alt1Ohls3.y.1. 46 3026 -8386559.03 3.028840e+08 0.10
## AltmanX2.y.1. 47 3026 -1530142.23 4.786308e+07 -0.02
## AltmanX3.y.1. 48 3026 -968588.38 3.089794e+07 -0.02
## AltmanX4.y.1. 49 3026 141869303.94 1.180996e+09 -0.03
## OhlsonX1.y.1. 50 3026 11.48 1.620000e+00 11.42
## OhlsonX2.y.1. 51 3026 2249494.26 7.625428e+07 0.60
## OhlsonX4.y.1. 52 3026 0.75 4.390000e+00 0.65
## OhlsonX6.y.1. 53 3026 -1176686.92 3.925391e+07 -0.02
## OhlsonX7.y.1. 54 3026 174563393.18 1.293606e+09 -0.03
## OhlsonX9.y.1. 55 3026 4442322.52 1.170925e+08 -924945.75
## OhlsonX5.y.1. 56 3026 0.13 3.400000e-01 0.00
## OhlsonX8.y.1. 57 3026 0.48 5.000000e-01 0.00
## HC4_5.y.1. 58 3026 0.19 3.900000e-01 0.00
## AR_by_OpIncome.y.2. 59 3026 2.93 2.280000e+00 2.37
## FB_Plus_OpInc_ByFB.y.2. 60 3026 0.77 7.390000e+00 0.97
## PercentMedicaidDays.y.2. 61 3026 0.08 8.000000e-02 0.06
## PercentMedicareDays.y.2. 62 3026 0.33 1.000000e-01 0.32
## CurrentRatio.y.2. 63 3026 3.85 8.063000e+01 1.75
## Debt2Equity.y.2. 64 3026 -0.79 7.776000e+01 0.44
## DaysSalesOutstanding.y.2. 65 3026 57.34 6.216000e+01 53.75
## LaborCompRatio.y.2. 66 3026 0.45 1.600000e-01 0.43
## OpProfitMargin.y.2. 67 3026 -0.06 2.900000e-01 -0.03
## DaysCashOnHand.y.2. 68 3026 32.40 8.271000e+01 11.88
## BedUtil.y.2. 69 3026 0.44 1.900000e-01 0.41
## AdjPxDays.y.2. 70 3026 6.45 7.470000e+00 4.35
## Alt1Ohls3.y.2. 71 3026 -12078412.96 3.539794e+08 0.12
## AltmanX2.y.2. 72 3026 -6427432.43 3.079368e+08 0.01
## AltmanX3.y.2. 73 3026 -1585108.07 5.318950e+07 0.02
## AltmanX4.y.2. 74 3026 127384872.74 1.335519e+09 0.02
## OhlsonX1.y.2. 75 3026 11.51 1.580000e+00 11.45
## OhlsonX2.y.2. 76 3026 2138422.96 7.209015e+07 0.57
## OhlsonX4.y.2. 77 3026 1.37 3.059000e+01 0.59
## OhlsonX6.y.2. 78 3026 -1988280.97 6.520815e+07 0.01
## OhlsonX7.y.2. 79 3026 170260803.88 1.282674e+09 0.04
## OhlsonX9.y.2. 80 3026 8188321.64 1.137156e+08 695093.00
## OhlsonX5.y.2. 81 3026 0.13 3.300000e-01 0.00
## OhlsonX8.y.2. 82 3026 0.19 4.000000e-01 0.00
## D_AR_by_OpIncome 83 3026 3.08 2.401000e+01 0.07
## D_FB_Plus_OpInc_ByFB 84 3026 -0.80 1.004000e+01 -0.17
## D_CurrentRatio 85 3026 -0.22 2.680000e+00 -0.16
## D_Debt2Equity 86 3026 2.13 1.360000e+01 0.06
## D_LiabFundBalRatio 87 3026 0.11 3.840000e+00 0.06
## D_DaysSalesOutstanding 88 3026 0.34 2.320000e+00 -0.04
## D_LaborCompRatio 89 3026 0.08 4.700000e-01 0.01
## D_OpProfitMargin 90 3026 0.08 3.540000e+00 0.08
## D_DaysCashOnHand 91 3026 9.26 3.259300e+02 -0.30
## D_BedUtil 92 3026 0.04 4.300000e-01 -0.04
## D_AdjPxDays 93 3026 0.02 1.000000e+00 -0.02
## D_Alt1Ohls3 94 3026 -32262060.88 1.647339e+09 -0.11
## D_AltmanX2 95 3026 30896776.76 1.383992e+09 -0.20
## D_AltmanX3 96 3026 23726494.61 8.334888e+08 -0.36
## D_AltmanX4 97 3026 86097188.27 8.776262e+09 -0.40
## D_OhlsonX1 98 3026 -0.01 1.100000e-01 0.00
## D_OhlsonX2 99 3026 -2802094.37 1.083939e+09 0.06
## D_OhlsonX4 100 3026 0.41 2.410000e+00 0.19
## D_OhlsonX6 101 3026 23224066.23 1.021291e+09 0.00
## D_OhlsonX7 102 3026 32401449.89 1.455388e+09 -0.40
## D_OhlsonX9 103 3026 696391.83 3.830811e+07 -0.30
## NegLiab.y.1. 104 3026 0.04 1.900000e-01 0.00
## NegLiab.y.2. 105 3026 0.04 2.000000e-01 0.00
## trimmed mad min max
## Bankrupt 0.50 0.74 0.000000e+00 1.000000e+00
## Year 2014.01 4.45 2.008000e+03 2.021000e+03
## AR_by_OpIncome 2.36 2.35 0.000000e+00 8.590000e+00
## FB_Plus_OpInc_ByFB 0.73 0.50 -3.383000e+01 1.861200e+02
## PercentMedicaidDays 0.07 0.04 0.000000e+00 8.300000e-01
## PercentMedicareDays 0.33 0.10 0.000000e+00 8.300000e-01
## CurrentRatio 1.39 1.08 -7.011000e+01 7.098050e+03
## Debt2Equity 0.75 1.01 -2.889400e+02 4.077900e+02
## DaysSalesOutstanding 47.20 13.58 -1.690840e+03 4.282780e+03
## LaborCompRatio 0.47 0.12 5.000000e-02 6.340000e+00
## OpProfitMargin -0.10 0.15 -1.046000e+01 8.000000e-01
## DaysCashOnHand 14.53 11.41 -7.541700e+02 1.623180e+03
## BedUtil 0.41 0.19 1.000000e-02 1.000000e+00
## AdjPxDays 4.73 2.59 3.000000e-02 1.258200e+02
## Alt1Ohls3 0.02 0.24 -2.069512e+10 1.716643e+10
## AltmanX2 -0.05 0.14 -2.401988e+10 2.003558e+09
## AltmanX3 -0.06 0.19 -6.057755e+09 1.405591e+09
## AltmanX4 0.01 0.23 -2.401988e+10 1.520000e+11
## OhlsonX1 11.46 1.03 -1.115000e+01 1.724000e+01
## OhlsonX2 0.68 0.42 -3.619138e+10 2.092522e+09
## OhlsonX4 1.01 0.77 -7.198000e+01 8.697000e+01
## OhlsonX6 -0.04 0.13 -1.187764e+10 2.003558e+09
## OhlsonX7 0.00 0.27 -8.071422e+09 2.906021e+10
## OhlsonX9 -94199.40 6969515.31 -1.177478e+09 2.986955e+09
## OhlsonX5 0.19 0.00 0.000000e+00 1.000000e+00
## OhlsonX8 0.48 0.00 0.000000e+00 1.000000e+00
## Govt 0.00 0.00 0.000000e+00 1.000000e+00
## Urban 0.00 0.00 0.000000e+00 1.000000e+00
## ForProfit 0.22 0.00 0.000000e+00 1.000000e+00
## HC1 0.00 0.00 0.000000e+00 1.000000e+00
## HC2 0.09 0.00 0.000000e+00 1.000000e+00
## HC4 0.04 0.00 0.000000e+00 1.000000e+00
## HC5 0.00 0.00 0.000000e+00 1.000000e+00
## AR_by_OpIncome.y.1. 2.52 3.05 0.000000e+00 8.600000e+00
## FB_Plus_OpInc_ByFB.y.1. 0.86 0.31 -2.297900e+02 1.378650e+03
## PercentMedicaidDays.y.1. 0.07 0.04 0.000000e+00 8.300000e-01
## PercentMedicareDays.y.1. 0.33 0.10 0.000000e+00 8.300000e-01
## CurrentRatio.y.1. 1.59 1.05 -7.873100e+02 1.482250e+03
## Debt2Equity.y.1. 0.60 0.64 -6.275700e+02 4.467920e+03
## DaysSalesOutstanding.y.1. 51.93 15.47 -1.647780e+03 3.816810e+03
## LaborCompRatio.y.1. 0.47 0.13 -4.900000e-01 1.740000e+00
## OpProfitMargin.y.1. -0.08 0.12 -2.510000e+00 3.420000e+00
## DaysCashOnHand.y.1. 21.98 23.14 -9.288000e+02 1.766670e+03
## BedUtil.y.1. 0.43 0.18 2.000000e-02 1.000000e+00
## AdjPxDays.y.1. 4.86 2.67 1.000000e-02 1.415600e+02
## Alt1Ohls3.y.1. 0.07 0.18 -1.393858e+10 3.015305e+08
## AltmanX2.y.1. -0.03 0.10 -1.789527e+09 2.097515e+08
## AltmanX3.y.1. -0.04 0.14 -1.542306e+09 4.040000e+00
## AltmanX4.y.1. -0.01 0.16 -1.602656e+10 2.285539e+10
## OhlsonX1.y.1. 11.50 0.92 -1.115000e+01 1.712000e+01
## OhlsonX2.y.1. 0.63 0.36 -9.890000e+00 3.917888e+09
## OhlsonX4.y.1. 0.75 0.46 -1.835000e+02 7.136000e+01
## OhlsonX6.y.1. -0.03 0.11 -1.789527e+09 2.097517e+08
## OhlsonX7.y.1. -0.02 0.25 -7.165679e+09 2.558153e+10
## OhlsonX9.y.1. 606221.21 5313313.35 -1.308272e+09 5.228494e+09
## OhlsonX5.y.1. 0.04 0.00 0.000000e+00 1.000000e+00
## OhlsonX8.y.1. 0.47 0.00 0.000000e+00 1.000000e+00
## HC4_5.y.1. 0.11 0.00 0.000000e+00 1.000000e+00
## AR_by_OpIncome.y.2. 2.72 2.41 1.000000e-02 8.600000e+00
## FB_Plus_OpInc_ByFB.y.2. 0.96 0.19 -3.264500e+02 9.611000e+01
## PercentMedicaidDays.y.2. 0.07 0.04 0.000000e+00 8.300000e-01
## PercentMedicareDays.y.2. 0.33 0.10 0.000000e+00 8.300000e-01
## CurrentRatio.y.2. 1.88 1.13 -4.556000e+01 4.418520e+03
## Debt2Equity.y.2. 0.57 0.66 -3.255210e+03 4.554200e+02
## DaysSalesOutstanding.y.2. 54.25 14.80 -1.552950e+03 1.711020e+03
## LaborCompRatio.y.2. 0.45 0.11 -1.990000e+00 4.580000e+00
## OpProfitMargin.y.2. -0.04 0.08 -9.570000e+00 8.190000e+00
## DaysCashOnHand.y.2. 20.11 17.55 -6.907700e+02 1.666270e+03
## BedUtil.y.2. 0.43 0.19 1.000000e-02 1.000000e+00
## AdjPxDays.y.2. 5.03 2.75 1.000000e-02 1.372600e+02
## Alt1Ohls3.y.2. 0.11 0.15 -1.303108e+10 1.649000e+08
## AltmanX2.y.2. 0.02 0.09 -1.667130e+10 7.113183e+08
## AltmanX3.y.2. 0.01 0.09 -2.153638e+09 1.099090e+08
## AltmanX4.y.2. 0.12 0.16 -2.621151e+10 2.753928e+10
## OhlsonX1.y.2. 11.51 0.90 -1.115000e+01 1.700000e+01
## OhlsonX2.y.2. 0.61 0.33 -6.485320e+07 3.187338e+09
## OhlsonX4.y.2. 0.68 0.39 -9.859000e+01 1.675990e+03
## OhlsonX6.y.2. 0.01 0.07 -2.540136e+09 2.528300e+07
## OhlsonX7.y.2. 0.05 0.18 -5.251815e+09 2.424540e+10
## OhlsonX9.y.2. 2290700.94 5999947.48 -4.858712e+08 5.228494e+09
## OhlsonX5.y.2. 0.04 0.00 0.000000e+00 1.000000e+00
## OhlsonX8.y.2. 0.12 0.00 0.000000e+00 1.000000e+00
## D_AR_by_OpIncome 1.13 0.90 -1.000000e+00 1.245000e+03
## D_FB_Plus_OpInc_ByFB -0.66 0.51 -1.540000e+02 4.370000e+02
## D_CurrentRatio -0.16 0.33 -1.220000e+02 1.788000e+01
## D_Debt2Equity 0.27 0.54 -3.392200e+02 1.285000e+02
## D_LiabFundBalRatio 0.14 0.52 -1.409300e+02 1.197100e+02
## D_DaysSalesOutstanding -0.04 0.21 -2.506000e+01 5.150000e+01
## D_LaborCompRatio 0.02 0.08 -5.670000e+00 5.100000e+00
## D_OpProfitMargin 0.16 0.94 -1.010000e+02 7.800000e+01
## D_DaysCashOnHand -0.27 0.76 -6.450000e+02 1.694500e+04
## D_BedUtil -0.03 0.10 -5.700000e-01 3.860000e+00
## D_AdjPxDays -0.01 0.07 -8.100000e-01 5.420000e+01
## D_Alt1Ohls3 -0.22 0.78 -8.997879e+10 3.052270e+09
## D_AltmanX2 0.03 1.89 -1.708382e+08 7.506213e+10
## D_AltmanX3 -1.80 1.13 -1.539000e+03 3.406117e+10
## D_AltmanX4 -0.37 1.73 -1.460000e+11 4.500000e+11
## D_OhlsonX1 0.00 0.01 -2.310000e+00 1.310000e+00
## D_OhlsonX2 0.07 0.17 -5.097377e+10 2.615652e+10
## D_OhlsonX4 0.30 0.50 -3.152000e+01 1.050000e+02
## D_OhlsonX6 0.26 1.48 -8.772930e+03 5.543998e+10
## D_OhlsonX7 -2.07 1.23 -5.342444e+10 4.296701e+10
## D_OhlsonX9 -0.25 1.86 -2.101581e+04 2.107294e+09
## NegLiab.y.1. 0.00 0.00 0.000000e+00 1.000000e+00
## NegLiab.y.2. 0.00 0.00 0.000000e+00 1.000000e+00
## range skew kurtosis se IQR
## Bankrupt 1.000000e+00 0.00 -2.00 0.01 1.00
## Year 1.300000e+01 0.10 -1.06 0.07 6.00
## AR_by_OpIncome 8.590000e+00 0.82 -0.47 0.04 3.85
## FB_Plus_OpInc_ByFB 2.199500e+02 31.29 1321.35 0.08 0.88
## PercentMedicaidDays 8.300000e-01 2.71 13.57 0.00 0.08
## PercentMedicareDays 8.300000e-01 0.18 0.42 0.00 0.14
## CurrentRatio 7.168160e+03 54.81 3007.96 2.35 1.60
## Debt2Equity 6.967300e+02 5.84 370.52 0.26 1.67
## DaysSalesOutstanding 5.973620e+03 22.87 940.04 1.91 18.52
## LaborCompRatio 6.290000e+00 7.98 70.95 0.01 0.18
## OpProfitMargin 1.126000e+01 -8.40 76.15 0.02 0.20
## DaysCashOnHand 2.377350e+03 8.31 113.64 1.60 31.54
## BedUtil 9.900000e-01 0.44 -0.44 0.00 0.28
## AdjPxDays 1.257900e+02 4.62 36.14 0.14 3.90
## Alt1Ohls3 3.786155e+10 -12.35 743.89 11274787.81 0.32
## AltmanX2 2.602344e+10 -39.00 1577.65 9936538.69 0.20
## AltmanX3 7.463346e+09 -33.70 1325.01 2550332.01 0.25
## AltmanX4 1.760199e+11 35.97 1652.66 58475810.68 0.31
## OhlsonX1 2.839000e+01 -6.00 74.66 0.03 1.47
## OhlsonX2 3.828390e+10 -43.49 1999.79 13470518.56 0.58
## OhlsonX4 1.589500e+02 5.96 339.96 0.06 1.28
## OhlsonX6 1.388120e+10 -49.00 2586.86 4081397.86 0.19
## OhlsonX7 3.713163e+10 11.09 158.71 25084315.74 0.39
## OhlsonX9 4.164433e+09 13.72 435.12 1672016.86 11233726.81
## OhlsonX5 1.000000e+00 1.16 -0.67 0.01 0.00
## OhlsonX8 1.000000e+00 0.07 -2.00 0.01 1.00
## Govt 1.000000e+00 3.15 7.95 0.00 0.00
## Urban 1.000000e+00 3.71 11.77 0.00 0.00
## ForProfit 1.000000e+00 1.02 -0.96 0.01 1.00
## HC1 1.000000e+00 4.35 16.96 0.00 0.00
## HC2 1.000000e+00 1.75 1.07 0.01 0.00
## HC4 1.000000e+00 2.21 2.90 0.01 0.00
## HC5 1.000000e+00 3.67 11.50 0.00 0.00
## AR_by_OpIncome.y.1. 8.600000e+00 0.62 -0.63 0.04 4.00
## FB_Plus_OpInc_ByFB.y.1. 1.608440e+03 41.45 1932.19 0.51 0.43
## PercentMedicaidDays.y.1. 8.300000e-01 2.71 13.57 0.00 0.08
## PercentMedicareDays.y.1. 8.300000e-01 0.18 0.42 0.00 0.14
## CurrentRatio.y.1. 2.269560e+03 29.98 1801.08 0.57 1.47
## Debt2Equity.y.1. 5.095490e+03 42.58 1967.29 1.67 1.14
## DaysSalesOutstanding.y.1. 5.464590e+03 22.74 949.83 1.70 21.21
## LaborCompRatio.y.1. 2.230000e+00 0.89 3.88 0.00 0.19
## OpProfitMargin.y.1. 5.930000e+00 -0.74 45.62 0.00 0.16
## DaysCashOnHand.y.1. 2.695470e+03 8.56 128.31 1.64 36.03
## BedUtil.y.1. 9.800000e-01 0.28 -0.57 0.00 0.27
## AdjPxDays.y.1. 1.415500e+02 5.15 50.22 0.14 3.95
## Alt1Ohls3.y.1. 1.424011e+10 -40.43 1713.76 5506072.67 0.24
## AltmanX2.y.1. 1.999279e+09 -33.05 1152.58 870093.95 0.14
## AltmanX3.y.1. 1.542306e+09 -43.22 2071.44 561687.84 0.20
## AltmanX4.y.1. 3.888196e+10 10.40 180.49 21469104.86 0.21
## OhlsonX1.y.1. 2.827000e+01 -5.21 73.51 0.03 1.27
## OhlsonX2.y.1. 3.917888e+09 46.37 2318.26 1386212.29 0.48
## OhlsonX4.y.1. 2.548600e+02 -25.60 1089.35 0.08 0.71
## OhlsonX6.y.1. 1.999279e+09 -37.67 1571.32 713589.43 0.14
## OhlsonX7.y.1. 3.274721e+10 10.91 152.72 23516218.49 0.34
## OhlsonX9.y.1. 6.536766e+09 29.40 1329.80 2128603.43 7297881.37
## OhlsonX5.y.1. 1.000000e+00 2.15 2.62 0.01 0.00
## OhlsonX8.y.1. 1.000000e+00 0.09 -1.99 0.01 1.00
## HC4_5.y.1. 1.000000e+00 1.57 0.48 0.01 0.00
## AR_by_OpIncome.y.2. 8.600000e+00 0.68 -0.47 0.04 3.33
## FB_Plus_OpInc_ByFB.y.2. 4.225600e+02 -34.57 1450.31 0.13 0.25
## PercentMedicaidDays.y.2. 8.300000e-01 2.71 13.57 0.00 0.08
## PercentMedicareDays.y.2. 8.300000e-01 0.18 0.42 0.00 0.14
## CurrentRatio.y.2. 4.464080e+03 54.27 2967.59 1.47 1.57
## Debt2Equity.y.2. 3.710630e+03 -37.66 1478.13 1.41 1.04
## DaysSalesOutstanding.y.2. 3.263970e+03 8.63 497.41 1.13 20.67
## LaborCompRatio.y.2. 6.570000e+00 5.41 182.12 0.00 0.16
## OpProfitMargin.y.2. 1.776000e+01 -4.87 579.69 0.01 0.11
## DaysCashOnHand.y.2. 2.357040e+03 7.96 121.07 1.50 36.85
## BedUtil.y.2. 9.900000e-01 0.36 -0.67 0.00 0.28
## AdjPxDays.y.2. 1.372400e+02 5.01 48.08 0.14 4.14
## Alt1Ohls3.y.2. 1.319598e+10 -32.61 1105.63 6434925.40 0.22
## AltmanX2.y.2. 1.738262e+10 -52.64 2834.00 5597926.60 0.11
## AltmanX3.y.2. 2.263547e+09 -37.28 1426.80 966922.01 0.13
## AltmanX4.y.2. 5.375079e+10 5.97 179.10 24278159.92 0.26
## OhlsonX1.y.2. 2.815000e+01 -5.66 83.17 0.03 1.25
## OhlsonX2.y.2. 3.252191e+09 38.98 1582.79 1310513.44 0.45
## OhlsonX4.y.2. 1.774580e+03 54.20 2964.79 0.56 0.63
## OhlsonX6.y.2. 2.565419e+09 -36.42 1364.61 1185406.76 0.10
## OhlsonX7.y.2. 2.949721e+10 10.92 148.06 23317487.26 0.24
## OhlsonX9.y.2. 5.714365e+09 34.30 1499.58 2067215.57 8811311.27
## OhlsonX5.y.2. 1.000000e+00 2.23 2.96 0.01 0.00
## OhlsonX8.y.2. 1.000000e+00 1.55 0.39 0.01 0.00
## D_AR_by_OpIncome 1.246000e+03 46.10 2363.61 0.44 2.98
## D_FB_Plus_OpInc_ByFB 5.910000e+02 30.55 1298.83 0.18 1.60
## D_CurrentRatio 1.398800e+02 -33.05 1439.72 0.05 0.45
## D_Debt2Equity 4.677200e+02 -1.67 166.18 0.25 0.96
## D_LiabFundBalRatio 2.606400e+02 -6.21 918.41 0.07 0.71
## D_DaysSalesOutstanding 7.656000e+01 7.58 110.52 0.04 0.28
## D_LaborCompRatio 1.076000e+01 6.38 65.30 0.01 0.10
## D_OpProfitMargin 1.790000e+02 -6.13 348.33 0.06 1.33
## D_DaysCashOnHand 1.759000e+04 47.56 2421.49 5.92 1.01
## D_BedUtil 4.430000e+00 5.92 40.17 0.01 0.14
## D_AdjPxDays 5.501000e+01 52.69 2853.43 0.02 0.10
## D_Alt1Ohls3 9.303106e+10 -53.86 2934.59 29946667.80 1.07
## D_AltmanX2 7.523297e+10 52.88 2853.66 25159328.93 2.75
## D_AltmanX3 3.406117e+10 38.39 1490.94 15151837.58 3.52
## D_AltmanX4 5.960000e+11 43.04 2305.70 159542032.39 2.36
## D_OhlsonX1 3.620000e+00 -15.30 295.72 0.00 0.02
## D_OhlsonX2 7.713030e+10 -28.62 1741.39 19704719.34 0.23
## D_OhlsonX4 1.365200e+02 25.89 1179.56 0.04 0.75
## D_OhlsonX6 5.543999e+10 52.98 2863.21 18565855.67 2.08
## D_OhlsonX7 9.639146e+10 -4.18 905.40 26457235.06 3.99
## D_OhlsonX9 2.107315e+09 54.95 3019.00 696395.94 2.54
## NegLiab.y.1. 1.000000e+00 4.74 20.45 0.00 0.00
## NegLiab.y.2. 1.000000e+00 4.67 19.83 0.00 0.00
## Q0.25 Q0.75
## Bankrupt 0.00 1.00
## Year 2011.00 2017.00
## AR_by_OpIncome 0.61 4.47
## FB_Plus_OpInc_ByFB 0.24 1.12
## PercentMedicaidDays 0.03 0.11
## PercentMedicareDays 0.26 0.40
## CurrentRatio 0.56 2.16
## Debt2Equity 0.02 1.69
## DaysSalesOutstanding 37.35 55.87
## LaborCompRatio 0.39 0.57
## OpProfitMargin -0.20 0.00
## DaysCashOnHand 0.01 31.55
## BedUtil 0.27 0.55
## AdjPxDays 2.72 6.62
## Alt1Ohls3 -0.13 0.19
## AltmanX2 -0.15 0.05
## AltmanX3 -0.19 0.06
## AltmanX4 -0.17 0.14
## OhlsonX1 10.72 12.19
## OhlsonX2 0.37 0.95
## OhlsonX4 0.43 1.71
## OhlsonX6 -0.14 0.05
## OhlsonX7 -0.22 0.17
## OhlsonX9 -6350365.52 4883361.28
## OhlsonX5 0.00 0.00
## OhlsonX8 0.00 1.00
## Govt 0.00 0.00
## Urban 0.00 0.00
## ForProfit 0.00 1.00
## HC1 0.00 0.00
## HC2 0.00 0.00
## HC4 0.00 0.00
## HC5 0.00 0.00
## AR_by_OpIncome.y.1. 0.49 4.49
## FB_Plus_OpInc_ByFB.y.1. 0.66 1.09
## PercentMedicaidDays.y.1. 0.03 0.11
## PercentMedicareDays.y.1. 0.26 0.40
## CurrentRatio.y.1. 0.87 2.34
## Debt2Equity.y.1. 0.06 1.20
## DaysSalesOutstanding.y.1. 41.90 63.11
## LaborCompRatio.y.1. 0.38 0.57
## OpProfitMargin.y.1. -0.16 0.00
## DaysCashOnHand.y.1. 3.98 40.01
## BedUtil.y.1. 0.30 0.57
## AdjPxDays.y.1. 2.90 6.84
## Alt1Ohls3.y.1. -0.04 0.20
## AltmanX2.y.1. -0.09 0.05
## AltmanX3.y.1. -0.14 0.06
## AltmanX4.y.1. -0.12 0.09
## OhlsonX1.y.1. 10.89 12.16
## OhlsonX2.y.1. 0.37 0.85
## OhlsonX4.y.1. 0.39 1.10
## OhlsonX6.y.1. -0.10 0.04
## OhlsonX7.y.1. -0.21 0.13
## OhlsonX9.y.1. -3184698.37 4113183.00
## OhlsonX5.y.1. 0.00 0.00
## OhlsonX8.y.1. 0.00 1.00
## HC4_5.y.1. 0.00 0.00
## AR_by_OpIncome.y.2. 1.15 4.48
## FB_Plus_OpInc_ByFB.y.2. 0.84 1.09
## PercentMedicaidDays.y.2. 0.03 0.11
## PercentMedicareDays.y.2. 0.26 0.40
## CurrentRatio.y.2. 1.08 2.65
## Debt2Equity.y.2. 0.10 1.14
## DaysSalesOutstanding.y.2. 44.51 65.18
## LaborCompRatio.y.2. 0.37 0.53
## OpProfitMargin.y.2. -0.10 0.01
## DaysCashOnHand.y.2. 2.58 39.42
## BedUtil.y.2. 0.29 0.58
## AdjPxDays.y.2. 2.91 7.05
## Alt1Ohls3.y.2. -0.01 0.21
## AltmanX2.y.2. -0.03 0.08
## AltmanX3.y.2. -0.06 0.07
## AltmanX4.y.2. -0.04 0.22
## OhlsonX1.y.2. 10.89 12.14
## OhlsonX2.y.2. 0.36 0.81
## OhlsonX4.y.2. 0.38 1.01
## OhlsonX6.y.2. -0.04 0.06
## OhlsonX7.y.2. -0.09 0.15
## OhlsonX9.y.2. -2440221.53 6371089.74
## OhlsonX5.y.2. 0.00 0.00
## OhlsonX8.y.2. 0.00 0.00
## D_AR_by_OpIncome -0.33 2.66
## D_FB_Plus_OpInc_ByFB -1.59 0.01
## D_CurrentRatio -0.39 0.06
## D_Debt2Equity -0.15 0.81
## D_LiabFundBalRatio -0.21 0.51
## D_DaysSalesOutstanding -0.17 0.10
## D_LaborCompRatio -0.04 0.06
## D_OpProfitMargin -0.47 0.86
## D_DaysCashOnHand -0.84 0.17
## D_BedUtil -0.10 0.04
## D_AdjPxDays -0.06 0.04
## D_Alt1Ohls3 -0.80 0.27
## D_AltmanX2 -1.25 1.50
## D_AltmanX3 -3.35 0.16
## D_AltmanX4 -1.48 0.88
## D_OhlsonX1 -0.01 0.01
## D_OhlsonX2 -0.05 0.18
## D_OhlsonX4 -0.06 0.69
## D_OhlsonX6 -0.75 1.33
## D_OhlsonX7 -3.84 0.16
## D_OhlsonX9 -1.49 1.05
## NegLiab.y.1. 0.00 0.00
## NegLiab.y.2. 0.00 0.00describe(train2, IQR = TRUE, quant = c(.25, .75))## vars n mean sd median
## Bankrupt 1 3630 0.50 5.000000e-01 0.50
## Year 2 3630 2014.67 3.460000e+00 2015.00
## AR_by_OpIncome 3 3630 2.82 2.350000e+00 2.29
## FB_Plus_OpInc_ByFB 4 3630 6.99 5.368000e+01 1.02
## PercentMedicaidDays 5 3630 0.09 9.000000e-02 0.06
## PercentMedicareDays 6 3630 0.33 1.100000e-01 0.32
## CurrentRatio 7 3630 1.89 8.380000e+00 1.21
## Debt2Equity 8 3630 -16.32 1.481600e+02 0.25
## DaysSalesOutstanding 9 3630 53.83 6.958000e+01 48.57
## LaborCompRatio 10 3630 0.53 4.600000e-01 0.49
## OpProfitMargin 11 3630 -0.18 8.000000e-01 -0.09
## DaysCashOnHand 12 3630 32.67 1.088800e+02 9.25
## BedUtil 13 3630 0.42 1.900000e-01 0.38
## AdjPxDays 14 3630 6.18 8.070000e+00 3.71
## Alt1Ohls3 15 3630 -14012054.32 5.576719e+08 0.07
## AltmanX2 16 3630 -13296547.32 5.001788e+08 -0.04
## AltmanX3 17 3630 -4052151.17 1.299567e+08 -0.03
## AltmanX4 18 3630 168290131.27 1.834122e+09 -0.03
## OhlsonX1 19 3630 11.36 1.840000e+00 11.16
## OhlsonX2 20 3630 -10816746.82 6.820421e+08 0.69
## OhlsonX4 21 3630 1.09 2.590000e+00 0.77
## OhlsonX6 22 3630 -4968132.37 2.078432e+08 -0.01
## OhlsonX7 23 3630 199766372.68 1.394732e+09 -0.02
## OhlsonX9 24 3630 3784258.29 9.428476e+07 -1615907.70
## OhlsonX5 25 3630 0.25 4.300000e-01 0.00
## OhlsonX8 26 3630 0.47 5.000000e-01 0.00
## Govt 27 3630 0.09 2.900000e-01 0.00
## Urban 28 3630 0.07 2.500000e-01 0.00
## ForProfit 29 3630 0.24 4.300000e-01 0.00
## HC1 30 3630 0.04 1.900000e-01 0.00
## HC2 31 3630 0.19 3.900000e-01 0.00
## HC4 32 3630 0.13 3.400000e-01 0.00
## HC5 33 3630 0.07 2.500000e-01 0.00
## AR_by_OpIncome.y.1. 34 3630 2.88 2.290000e+00 2.45
## FB_Plus_OpInc_ByFB.y.1. 35 3630 1.28 2.510000e+01 0.94
## PercentMedicaidDays.y.1. 36 3630 0.09 9.000000e-02 0.06
## PercentMedicareDays.y.1. 37 3630 0.33 1.100000e-01 0.32
## CurrentRatio.y.1. 38 3630 1.05 1.956000e+01 1.31
## Debt2Equity.y.1. 39 3630 3.31 9.316000e+01 0.45
## DaysSalesOutstanding.y.1. 40 3630 53.86 6.705000e+01 49.16
## LaborCompRatio.y.1. 41 3630 0.48 1.300000e-01 0.48
## OpProfitMargin.y.1. 42 3630 -0.08 1.900000e-01 -0.06
## DaysCashOnHand.y.1. 43 3630 32.81 9.484000e+01 11.98
## BedUtil.y.1. 44 3630 0.43 1.900000e-01 0.41
## AdjPxDays.y.1. 45 3630 6.25 7.910000e+00 3.90
## Alt1Ohls3.y.1. 46 3630 -7329520.87 2.789119e+08 0.07
## AltmanX2.y.1. 47 3630 -1146613.81 4.208978e+07 -0.02
## AltmanX3.y.1. 48 3630 -806421.15 2.822171e+07 0.01
## AltmanX4.y.1. 49 3630 158935135.45 1.270329e+09 -0.02
## OhlsonX1.y.1. 50 3630 11.38 1.600000e+00 11.23
## OhlsonX2.y.1. 51 3630 2472331.79 8.658014e+07 0.63
## OhlsonX4.y.1. 52 3630 0.90 2.530000e+00 0.73
## OhlsonX6.y.1. 53 3630 -967555.75 3.590343e+07 0.00
## OhlsonX7.y.1. 54 3630 155158602.17 1.302636e+09 0.02
## OhlsonX9.y.1. 55 3630 4027409.16 6.363278e+07 -959171.50
## OhlsonX5.y.1. 56 3630 0.22 4.100000e-01 0.00
## OhlsonX8.y.1. 57 3630 0.34 4.700000e-01 0.00
## HC4_5.y.1. 58 3630 0.21 4.100000e-01 0.00
## AR_by_OpIncome.y.2. 59 3630 2.80 2.380000e+00 2.19
## FB_Plus_OpInc_ByFB.y.2. 60 3630 0.86 9.990000e+00 0.94
## PercentMedicaidDays.y.2. 61 3630 0.09 9.000000e-02 0.06
## PercentMedicareDays.y.2. 62 3630 0.33 1.100000e-01 0.32
## CurrentRatio.y.2. 63 3630 3.47 7.364000e+01 1.44
## Debt2Equity.y.2. 64 3630 -0.74 7.075000e+01 0.50
## DaysSalesOutstanding.y.2. 65 3630 55.07 5.632000e+01 50.17
## LaborCompRatio.y.2. 66 3630 0.48 1.700000e-01 0.45
## OpProfitMargin.y.2. 67 3630 -0.09 3.100000e-01 -0.05
## DaysCashOnHand.y.2. 68 3630 29.95 8.859000e+01 9.10
## BedUtil.y.2. 69 3630 0.43 1.900000e-01 0.40
## AdjPxDays.y.2. 70 3630 6.32 7.800000e+00 4.00
## Alt1Ohls3.y.2. 71 3630 -67136878.45 5.786995e+08 0.08
## AltmanX2.y.2. 72 3630 -47781751.37 1.279615e+09 0.00
## AltmanX3.y.2. 73 3630 -28714848.43 2.783675e+08 0.01
## AltmanX4.y.2. 74 3630 13201249.71 2.590619e+09 0.01
## OhlsonX1.y.2. 75 3630 11.18 2.420000e+00 11.27
## OhlsonX2.y.2. 76 3630 60990225.20 5.234380e+08 0.61
## OhlsonX4.y.2. 77 3630 11.57 1.112200e+02 0.67
## OhlsonX6.y.2. 78 3630 -18463083.55 3.944808e+08 0.01
## OhlsonX7.y.2. 79 3630 176129290.07 1.291247e+09 0.02
## OhlsonX9.y.2. 80 3630 6528350.77 1.197840e+08 169182.95
## OhlsonX5.y.2. 81 3630 0.21 4.100000e-01 0.00
## OhlsonX8.y.2. 82 3630 0.26 4.400000e-01 0.00
## D_AR_by_OpIncome 83 3630 2.54 2.178000e+01 0.00
## D_FB_Plus_OpInc_ByFB 84 3630 3.64 5.131000e+01 -0.10
## D_CurrentRatio 85 3630 -0.11 3.410000e+00 -0.10
## D_Debt2Equity 86 3630 -5.56 5.850000e+01 0.00
## D_LiabFundBalRatio 87 3630 -6.55 5.947000e+01 -0.05
## D_DaysSalesOutstanding 88 3630 -0.76 7.624000e+01 -0.01
## D_LaborCompRatio 89 3630 0.07 5.000000e-01 0.00
## D_OpProfitMargin 90 3630 0.11 3.250000e+00 0.03
## D_DaysCashOnHand 91 3630 5.88 2.666100e+02 -0.09
## D_BedUtil 92 3630 0.03 4.000000e-01 -0.01
## D_AdjPxDays 93 3630 0.01 9.200000e-01 -0.01
## D_Alt1Ohls3 94 3630 -27138183.69 1.503978e+09 0.01
## D_AltmanX2 95 3630 25893838.05 1.263829e+09 -0.20
## D_AltmanX3 96 3630 18786769.56 7.571639e+08 -0.20
## D_AltmanX4 97 3630 -850379747.79 4.593738e+10 -0.33
## D_OhlsonX1 98 3630 0.00 1.000000e-01 0.00
## D_OhlsonX2 99 3630 -1256300.12 9.891207e+08 0.06
## D_OhlsonX4 100 3630 0.40 4.070000e+00 0.09
## D_OhlsonX6 101 3630 19945794.66 9.334956e+08 -0.13
## D_OhlsonX7 102 3630 92908608.53 3.131947e+09 -0.22
## D_OhlsonX9 103 3630 747391.35 3.861053e+07 -0.27
## NegLiab.y.1. 104 3630 0.04 1.900000e-01 0.00
## NegLiab.y.2. 105 3630 0.04 1.900000e-01 0.00
## trimmed mad min max
## Bankrupt 0.50 0.74 0.000000e+00 1.000000e+00
## Year 2014.67 4.45 2.008000e+03 2.021000e+03
## AR_by_OpIncome 2.57 2.64 0.000000e+00 8.560000e+00
## FB_Plus_OpInc_ByFB 1.08 0.52 -1.328000e+01 6.986900e+02
## PercentMedicaidDays 0.07 0.04 0.000000e+00 8.100000e-01
## PercentMedicareDays 0.33 0.10 0.000000e+00 8.700000e-01
## CurrentRatio 1.40 1.08 -7.403000e+01 3.621200e+02
## Debt2Equity 0.01 1.16 -1.922500e+03 4.077900e+02
## DaysSalesOutstanding 49.94 13.09 -7.416800e+02 2.772490e+03
## LaborCompRatio 0.48 0.13 1.000000e-02 6.340000e+00
## OpProfitMargin -0.08 0.14 -1.046000e+01 6.500000e-01
## DaysCashOnHand 15.84 13.70 -7.541700e+02 3.060150e+03
## BedUtil 0.41 0.19 0.000000e+00 1.000000e+00
## AdjPxDays 4.51 2.85 0.000000e+00 1.258200e+02
## Alt1Ohls3 0.05 0.27 -2.069512e+10 1.716643e+10
## AltmanX2 -0.05 0.15 -2.401988e+10 2.003558e+09
## AltmanX3 -0.04 0.16 -6.057755e+09 1.405591e+09
## AltmanX4 96265.80 0.25 -4.207450e+10 4.085753e+10
## OhlsonX1 11.34 1.26 -1.115000e+01 1.721000e+01
## OhlsonX2 0.68 0.49 -3.619138e+10 4.035141e+09
## OhlsonX4 0.93 0.70 -2.373000e+01 8.697000e+01
## OhlsonX6 -0.02 0.14 -1.187764e+10 2.003558e+09
## OhlsonX7 329606.69 0.25 -2.382459e+10 2.906021e+10
## OhlsonX9 255174.12 7285641.33 -1.778187e+09 2.986955e+09
## OhlsonX5 0.19 0.00 0.000000e+00 1.000000e+00
## OhlsonX8 0.47 0.00 0.000000e+00 1.000000e+00
## Govt 0.00 0.00 0.000000e+00 1.000000e+00
## Urban 0.00 0.00 0.000000e+00 1.000000e+00
## ForProfit 0.18 0.00 0.000000e+00 1.000000e+00
## HC1 0.00 0.00 0.000000e+00 1.000000e+00
## HC2 0.11 0.00 0.000000e+00 1.000000e+00
## HC4 0.04 0.00 0.000000e+00 1.000000e+00
## HC5 0.00 0.00 0.000000e+00 1.000000e+00
## AR_by_OpIncome.y.1. 2.66 2.69 0.000000e+00 8.600000e+00
## FB_Plus_OpInc_ByFB.y.1. 0.84 0.35 -2.297900e+02 1.378650e+03
## PercentMedicaidDays.y.1. 0.07 0.04 0.000000e+00 8.100000e-01
## PercentMedicareDays.y.1. 0.33 0.10 0.000000e+00 8.700000e-01
## CurrentRatio.y.1. 1.52 1.08 -7.873100e+02 4.025400e+02
## Debt2Equity.y.1. 0.80 0.77 -6.275700e+02 4.467920e+03
## DaysSalesOutstanding.y.1. 50.68 13.31 -6.274600e+02 2.681920e+03
## LaborCompRatio.y.1. 0.48 0.12 -6.000000e-02 1.970000e+00
## OpProfitMargin.y.1. -0.07 0.12 -2.650000e+00 1.220000e+00
## DaysCashOnHand.y.1. 17.94 17.32 -9.288000e+02 2.814090e+03
## BedUtil.y.1. 0.42 0.21 0.000000e+00 1.000000e+00
## AdjPxDays.y.1. 4.67 3.00 0.000000e+00 1.415600e+02
## Alt1Ohls3.y.1. 0.04 0.23 -1.393858e+10 1.244798e+08
## AltmanX2.y.1. -0.02 0.12 -1.789527e+09 2.097515e+08
## AltmanX3.y.1. 0.00 0.13 -1.542306e+09 4.040000e+00
## AltmanX4.y.1. 0.05 0.20 -2.914540e+10 2.285539e+10
## OhlsonX1.y.1. 11.34 1.28 -1.115000e+01 1.712000e+01
## OhlsonX2.y.1. 0.63 0.39 -9.890000e+00 3.917888e+09
## OhlsonX4.y.1. 0.85 0.63 -7.909000e+01 7.136000e+01
## OhlsonX6.y.1. -0.01 0.10 -1.789527e+09 2.097517e+08
## OhlsonX7.y.1. 0.09 0.25 -2.396372e+10 2.558153e+10
## OhlsonX9.y.1. 1339020.35 5597961.05 -1.308272e+09 1.455687e+09
## OhlsonX5.y.1. 0.15 0.00 0.000000e+00 1.000000e+00
## OhlsonX8.y.1. 0.30 0.00 0.000000e+00 1.000000e+00
## HC4_5.y.1. 0.13 0.00 0.000000e+00 1.000000e+00
## AR_by_OpIncome.y.2. 2.55 2.60 1.000000e-02 8.600000e+00
## FB_Plus_OpInc_ByFB.y.2. 0.90 0.27 -3.264500e+02 4.451800e+02
## PercentMedicaidDays.y.2. 0.07 0.04 0.000000e+00 8.100000e-01
## PercentMedicareDays.y.2. 0.33 0.10 0.000000e+00 8.700000e-01
## CurrentRatio.y.2. 1.63 1.10 -4.556000e+01 4.418520e+03
## Debt2Equity.y.2. 0.68 0.70 -3.255210e+03 4.554200e+02
## DaysSalesOutstanding.y.2. 51.33 12.89 -1.956300e+02 2.455250e+03
## LaborCompRatio.y.2. 0.46 0.14 -1.990000e+00 4.580000e+00
## OpProfitMargin.y.2. -0.06 0.10 -9.570000e+00 8.190000e+00
## DaysCashOnHand.y.2. 15.70 13.53 -6.907700e+02 2.385800e+03
## BedUtil.y.2. 0.42 0.20 1.000000e-02 1.000000e+00
## AdjPxDays.y.2. 4.79 2.96 0.000000e+00 1.372600e+02
## Alt1Ohls3.y.2. 0.06 0.21 -1.200268e+10 1.643000e+01
## AltmanX2.y.2. -0.01 0.09 -5.695970e+10 1.100960e+09
## AltmanX3.y.2. -0.01 0.12 -3.464660e+09 4.765823e+09
## AltmanX4.y.2. 0.08 0.18 -6.756429e+10 1.140000e+11
## OhlsonX1.y.2. 11.33 1.26 -1.115000e+01 1.700000e+01
## OhlsonX2.y.2. 0.61 0.37 -6.485320e+07 6.737484e+09
## OhlsonX4.y.2. 0.79 0.54 -5.975000e+01 1.675990e+03
## OhlsonX6.y.2. 0.00 0.10 -2.700965e+09 1.998557e+10
## OhlsonX7.y.2. 0.04 0.22 -2.319753e+10 2.424540e+10
## OhlsonX9.y.2. 1557435.78 5648635.54 -6.756429e+08 5.228494e+09
## OhlsonX5.y.2. 0.14 0.00 0.000000e+00 1.000000e+00
## OhlsonX8.y.2. 0.19 0.00 0.000000e+00 1.000000e+00
## D_AR_by_OpIncome 0.77 0.82 -1.000000e+00 1.245000e+03
## D_FB_Plus_OpInc_ByFB -0.46 0.41 -9.690000e+02 6.228300e+02
## D_CurrentRatio -0.07 0.30 -1.260800e+02 1.788000e+01
## D_Debt2Equity 0.03 0.64 -7.519800e+02 3.553800e+02
## D_LiabFundBalRatio -0.15 0.58 -7.742200e+02 5.721000e+01
## D_DaysSalesOutstanding 0.00 0.19 -4.557000e+03 5.583800e+02
## D_LaborCompRatio 0.01 0.07 -5.670000e+00 1.500000e+01
## D_OpProfitMargin 0.14 0.84 -1.010000e+02 7.800000e+01
## D_DaysCashOnHand 0.01 0.79 -1.522800e+04 2.324000e+03
## D_BedUtil -0.02 0.10 -1.000000e+00 3.860000e+00
## D_AdjPxDays -0.02 0.10 -9.500000e-01 5.420000e+01
## D_Alt1Ohls3 -0.02 0.67 -8.997879e+10 2.915314e+09
## D_AltmanX2 -0.30 1.34 -1.708382e+08 7.506213e+10
## D_AltmanX3 -0.50 0.89 -1.539000e+03 3.406117e+10
## D_AltmanX4 -0.54 1.32 -2.750000e+12 5.337752e+10
## D_OhlsonX1 0.00 0.01 -2.310000e+00 9.600000e-01
## D_OhlsonX2 0.07 0.19 -5.097377e+10 2.615652e+10
## D_OhlsonX4 0.11 0.36 -1.045000e+02 6.600000e+01
## D_OhlsonX6 -0.17 1.14 -6.500000e+01 5.543998e+10
## D_OhlsonX7 -0.38 0.99 -5.342444e+10 1.700000e+11
## D_OhlsonX9 -0.45 1.38 -3.247753e+08 2.107294e+09
## NegLiab.y.1. 0.00 0.00 0.000000e+00 1.000000e+00
## NegLiab.y.2. 0.00 0.00 0.000000e+00 1.000000e+00
## range skew kurtosis se IQR
## Bankrupt 1.000000e+00 0.00 -2.00 0.01 1.00
## Year 1.300000e+01 -0.05 -0.87 0.06 5.00
## AR_by_OpIncome 8.560000e+00 0.70 -0.54 0.04 3.65
## FB_Plus_OpInc_ByFB 7.119700e+02 10.28 110.47 0.89 0.70
## PercentMedicaidDays 8.100000e-01 2.20 6.29 0.00 0.08
## PercentMedicareDays 8.700000e-01 0.24 0.21 0.00 0.14
## CurrentRatio 4.361500e+02 27.75 1063.09 0.14 1.64
## Debt2Equity 2.330290e+03 -10.22 109.92 2.46 1.61
## DaysSalesOutstanding 3.514170e+03 20.14 720.42 1.15 18.06
## LaborCompRatio 6.330000e+00 8.81 87.56 0.01 0.17
## OpProfitMargin 1.111000e+01 -9.10 91.48 0.01 0.18
## DaysCashOnHand 3.814320e+03 12.59 251.80 1.81 29.86
## BedUtil 1.000000e+00 0.45 -0.58 0.00 0.29
## AdjPxDays 1.258200e+02 4.49 34.33 0.13 4.61
## Alt1Ohls3 3.786155e+10 -13.00 922.01 9256044.68 0.36
## AltmanX2 2.602344e+10 -42.46 1876.82 8301794.75 0.21
## AltmanX3 7.463346e+09 -35.71 1504.61 2156976.87 0.22
## AltmanX4 8.293204e+10 2.62 247.73 30442128.38 0.36
## OhlsonX1 2.836000e+01 -5.23 65.38 0.03 1.79
## OhlsonX2 4.022652e+10 -46.42 2324.91 11320298.31 0.66
## OhlsonX4 1.107000e+02 14.02 460.42 0.04 1.07
## OhlsonX6 1.388120e+10 -51.75 2938.90 3449709.05 0.18
## OhlsonX7 5.288480e+10 7.96 152.10 23149277.33 0.42
## OhlsonX9 4.765142e+09 4.71 369.03 1564905.78 11349981.33
## OhlsonX5 1.000000e+00 1.14 -0.70 0.01 1.00
## OhlsonX8 1.000000e+00 0.11 -1.99 0.01 1.00
## Govt 1.000000e+00 2.83 6.03 0.00 0.00
## Urban 1.000000e+00 3.42 9.70 0.00 0.00
## ForProfit 1.000000e+00 1.21 -0.54 0.01 0.00
## HC1 1.000000e+00 4.93 22.32 0.00 0.00
## HC2 1.000000e+00 1.59 0.53 0.01 0.00
## HC4 1.000000e+00 2.18 2.76 0.01 0.00
## HC5 1.000000e+00 3.42 9.70 0.00 0.00
## AR_by_OpIncome.y.1. 8.600000e+00 0.63 -0.57 0.04 3.58
## FB_Plus_OpInc_ByFB.y.1. 1.608440e+03 46.88 2525.76 0.42 0.54
## PercentMedicaidDays.y.1. 8.100000e-01 2.20 6.29 0.00 0.08
## PercentMedicareDays.y.1. 8.700000e-01 0.24 0.21 0.00 0.14
## CurrentRatio.y.1. 1.189850e+03 -14.51 820.59 0.32 1.68
## Debt2Equity.y.1. 5.095490e+03 38.42 1656.51 1.55 1.45
## DaysSalesOutstanding.y.1. 3.309380e+03 20.76 731.12 1.11 18.51
## LaborCompRatio.y.1. 2.030000e+00 1.12 6.52 0.00 0.17
## OpProfitMargin.y.1. 3.870000e+00 -3.04 26.95 0.00 0.16
## DaysCashOnHand.y.1. 3.742890e+03 11.62 255.31 1.57 32.19
## BedUtil.y.1. 1.000000e+00 0.32 -0.67 0.00 0.30
## AdjPxDays.y.1. 1.415600e+02 4.89 44.69 0.13 4.82
## Alt1Ohls3.y.1. 1.406306e+10 -43.41 1991.04 4629282.57 0.31
## AltmanX2.y.1. 1.999279e+09 -38.75 1571.14 698591.50 0.16
## AltmanX3.y.1. 1.542306e+09 -47.31 2482.70 468414.20 0.18
## AltmanX4.y.1. 5.200080e+10 4.08 188.41 21084486.94 0.30
## OhlsonX1.y.1. 2.827000e+01 -3.51 52.50 0.03 1.75
## OhlsonX2.y.1. 3.917888e+09 39.97 1663.29 1437027.10 0.53
## OhlsonX4.y.1. 1.504500e+02 -4.13 454.23 0.04 0.91
## OhlsonX6.y.1. 1.999279e+09 -41.13 1874.48 595912.69 0.15
## OhlsonX7.y.1. 4.954525e+10 8.07 168.44 21620698.97 0.36
## OhlsonX9.y.1. 2.763959e+09 2.48 191.97 1056154.78 10043059.25
## OhlsonX5.y.1. 1.000000e+00 1.35 -0.18 0.01 0.00
## OhlsonX8.y.1. 1.000000e+00 0.68 -1.54 0.01 1.00
## HC4_5.y.1. 1.000000e+00 1.44 0.08 0.01 0.00
## AR_by_OpIncome.y.2. 8.600000e+00 0.72 -0.57 0.04 3.71
## FB_Plus_OpInc_ByFB.y.2. 7.716300e+02 12.57 1440.33 0.17 0.38
## PercentMedicaidDays.y.2. 8.100000e-01 2.20 6.29 0.00 0.08
## PercentMedicareDays.y.2. 8.700000e-01 0.24 0.21 0.00 0.14
## CurrentRatio.y.2. 4.464080e+03 59.40 3557.02 1.22 1.68
## Debt2Equity.y.2. 3.710630e+03 -41.73 1798.68 1.17 1.02
## DaysSalesOutstanding.y.2. 2.650880e+03 26.75 1001.70 0.93 17.84
## LaborCompRatio.y.2. 6.570000e+00 3.82 106.77 0.00 0.19
## OpProfitMargin.y.2. 1.776000e+01 -3.69 384.47 0.01 0.14
## DaysCashOnHand.y.2. 3.076570e+03 10.69 199.29 1.47 30.40
## BedUtil.y.2. 9.900000e-01 0.37 -0.63 0.00 0.29
## AdjPxDays.y.2. 1.372500e+02 4.81 43.66 0.13 4.74
## Alt1Ohls3.y.2. 1.200268e+10 -10.32 123.91 9605053.45 0.27
## AltmanX2.y.2. 5.806066e+10 -39.90 1653.79 21238612.68 0.13
## AltmanX3.y.2. 8.230483e+09 -7.01 105.17 4620247.13 0.16
## AltmanX4.y.2. 1.815643e+11 19.15 1164.88 42998196.24 0.26
## OhlsonX1.y.2. 2.815000e+01 -5.10 39.78 0.04 1.71
## OhlsonX2.y.2. 6.802337e+09 9.50 94.21 8687842.34 0.49
## OhlsonX4.y.2. 1.735740e+03 11.27 133.74 1.85 0.82
## OhlsonX6.y.2. 2.268653e+10 34.42 1827.06 6547456.05 0.14
## OhlsonX7.y.2. 4.744292e+10 7.39 154.42 21431664.02 0.30
## OhlsonX9.y.2. 5.904137e+09 29.15 1138.13 1988132.63 8275333.76
## OhlsonX5.y.2. 1.000000e+00 1.43 0.05 0.01 0.00
## OhlsonX8.y.2. 1.000000e+00 1.12 -0.74 0.01 1.00
## D_AR_by_OpIncome 1.246000e+03 51.51 2918.60 0.36 1.74
## D_FB_Plus_OpInc_ByFB 1.591830e+03 6.71 121.22 0.85 0.94
## D_CurrentRatio 1.439500e+02 -29.35 1015.12 0.06 0.40
## D_Debt2Equity 1.107350e+03 -9.89 106.42 0.97 0.85
## D_LiabFundBalRatio 8.314300e+02 -10.32 111.23 0.99 0.81
## D_DaysSalesOutstanding 5.115380e+03 -58.69 3511.77 1.27 0.26
## D_LaborCompRatio 2.067000e+01 11.82 265.98 0.01 0.09
## D_OpProfitMargin 1.790000e+02 -6.41 406.59 0.05 1.18
## D_DaysCashOnHand 1.755200e+04 -50.91 2936.94 4.43 1.06
## D_BedUtil 4.860000e+00 5.82 42.92 0.01 0.13
## D_AdjPxDays 5.515000e+01 56.03 3290.10 0.02 0.14
## D_Alt1Ohls3 9.289410e+10 -59.01 3522.48 24962508.03 0.90
## D_AltmanX2 7.523297e+10 57.90 3422.46 20976591.80 1.72
## D_AltmanX3 3.406117e+10 42.64 1826.37 12567143.89 1.39
## D_AltmanX4 2.803378e+12 -59.11 3530.96 762452658.94 1.75
## D_OhlsonX1 3.270000e+00 -17.59 362.94 0.00 0.01
## D_OhlsonX2 7.713030e+10 -31.40 2094.33 16417082.94 0.25
## D_OhlsonX4 1.705000e+02 -0.21 197.95 0.07 0.48
## D_OhlsonX6 5.543998e+10 57.85 3420.96 15493836.43 1.52
## D_OhlsonX7 2.234244e+11 43.69 2419.05 51982967.84 1.35
## D_OhlsonX9 2.432069e+09 48.42 2531.95 640844.25 1.83
## NegLiab.y.1. 1.000000e+00 4.77 20.77 0.00 0.00
## NegLiab.y.2. 1.000000e+00 4.73 20.41 0.00 0.00
## Q0.25 Q0.75
## Bankrupt 0.00 1.00
## Year 2012.00 2017.00
## AR_by_OpIncome 0.83 4.49
## FB_Plus_OpInc_ByFB 0.67 1.37
## PercentMedicaidDays 0.03 0.11
## PercentMedicareDays 0.26 0.40
## CurrentRatio 0.60 2.24
## Debt2Equity -0.67 0.94
## DaysSalesOutstanding 40.61 58.67
## LaborCompRatio 0.40 0.57
## OpProfitMargin -0.17 0.01
## DaysCashOnHand 0.77 30.63
## BedUtil 0.27 0.56
## AdjPxDays 2.12 6.73
## Alt1Ohls3 -0.13 0.23
## AltmanX2 -0.15 0.06
## AltmanX3 -0.15 0.07
## AltmanX4 -0.16 0.20
## OhlsonX1 10.46 12.25
## OhlsonX2 0.34 1.00
## OhlsonX4 0.40 1.47
## OhlsonX6 -0.12 0.06
## OhlsonX7 -0.15 0.27
## OhlsonX9 -5723673.58 5626307.75
## OhlsonX5 0.00 1.00
## OhlsonX8 0.00 1.00
## Govt 0.00 0.00
## Urban 0.00 0.00
## ForProfit 0.00 0.00
## HC1 0.00 0.00
## HC2 0.00 0.00
## HC4 0.00 0.00
## HC5 0.00 0.00
## AR_by_OpIncome.y.1. 0.92 4.50
## FB_Plus_OpInc_ByFB.y.1. 0.57 1.11
## PercentMedicaidDays.y.1. 0.03 0.11
## PercentMedicareDays.y.1. 0.26 0.40
## CurrentRatio.y.1. 0.70 2.38
## Debt2Equity.y.1. 0.07 1.52
## DaysSalesOutstanding.y.1. 41.61 60.11
## LaborCompRatio.y.1. 0.39 0.56
## OpProfitMargin.y.1. -0.15 0.01
## DaysCashOnHand.y.1. 1.89 34.08
## BedUtil.y.1. 0.28 0.58
## AdjPxDays.y.1. 2.21 7.03
## Alt1Ohls3.y.1. -0.11 0.20
## AltmanX2.y.1. -0.10 0.06
## AltmanX3.y.1. -0.10 0.09
## AltmanX4.y.1. -0.13 0.17
## OhlsonX1.y.1. 10.48 12.23
## OhlsonX2.y.1. 0.36 0.89
## OhlsonX4.y.1. 0.39 1.30
## OhlsonX6.y.1. -0.08 0.07
## OhlsonX7.y.1. -0.13 0.23
## OhlsonX9.y.1. -4062555.75 5980503.50
## OhlsonX5.y.1. 0.00 0.00
## OhlsonX8.y.1. 0.00 1.00
## HC4_5.y.1. 0.00 0.00
## AR_by_OpIncome.y.2. 0.78 4.50
## FB_Plus_OpInc_ByFB.y.2. 0.71 1.09
## PercentMedicaidDays.y.2. 0.03 0.11
## PercentMedicareDays.y.2. 0.26 0.40
## CurrentRatio.y.2. 0.80 2.48
## Debt2Equity.y.2. 0.13 1.15
## DaysSalesOutstanding.y.2. 42.30 60.13
## LaborCompRatio.y.2. 0.37 0.56
## OpProfitMargin.y.2. -0.13 0.01
## DaysCashOnHand.y.2. 0.41 30.81
## BedUtil.y.2. 0.28 0.57
## AdjPxDays.y.2. 2.33 7.07
## Alt1Ohls3.y.2. -0.06 0.21
## AltmanX2.y.2. -0.07 0.06
## AltmanX3.y.2. -0.09 0.07
## AltmanX4.y.2. -0.09 0.17
## OhlsonX1.y.2. 10.48 12.19
## OhlsonX2.y.2. 0.35 0.84
## OhlsonX4.y.2. 0.37 1.20
## OhlsonX6.y.2. -0.07 0.07
## OhlsonX7.y.2. -0.14 0.16
## OhlsonX9.y.2. -3006020.55 5269313.20
## OhlsonX5.y.2. 0.00 0.00
## OhlsonX8.y.2. 0.00 1.00
## D_AR_by_OpIncome -0.34 1.40
## D_FB_Plus_OpInc_ByFB -0.92 0.02
## D_CurrentRatio -0.29 0.12
## D_Debt2Equity -0.39 0.46
## D_LiabFundBalRatio -0.52 0.29
## D_DaysSalesOutstanding -0.14 0.12
## D_LaborCompRatio -0.04 0.05
## D_OpProfitMargin -0.41 0.78
## D_DaysCashOnHand -0.63 0.43
## D_BedUtil -0.09 0.05
## D_AdjPxDays -0.09 0.05
## D_Alt1Ohls3 -0.46 0.44
## D_AltmanX2 -1.22 0.50
## D_AltmanX3 -1.15 0.25
## D_AltmanX4 -1.41 0.34
## D_OhlsonX1 -0.01 0.01
## D_OhlsonX2 -0.06 0.20
## D_OhlsonX4 -0.14 0.34
## D_OhlsonX6 -0.95 0.57
## D_OhlsonX7 -1.06 0.29
## D_OhlsonX9 -1.38 0.45
## NegLiab.y.1. 0.00 0.00
## NegLiab.y.2. 0.00 0.00describe(train3, IQR = TRUE, quant = c(.25, .75))## vars n mean sd median
## Bankrupt 1 4236 0.50 5.000000e-01 0.50
## Year 2 4236 2014.79 3.470000e+00 2015.00
## AR_by_OpIncome 3 4236 2.94 2.340000e+00 2.50
## FB_Plus_OpInc_ByFB 4 4236 5.21 4.320000e+01 1.04
## PercentMedicaidDays 5 4236 0.10 1.000000e-01 0.06
## PercentMedicareDays 6 4236 0.32 1.200000e-01 0.30
## CurrentRatio 7 4236 3.80 1.097900e+02 1.36
## Debt2Equity 8 4236 -11.58 1.193200e+02 0.18
## DaysSalesOutstanding 9 4236 60.72 8.584000e+01 49.36
## LaborCompRatio 10 4236 0.53 4.000000e-01 0.49
## OpProfitMargin 11 4236 -0.16 6.900000e-01 -0.08
## DaysCashOnHand 12 4236 34.71 1.071800e+02 12.60
## BedUtil 13 4236 0.44 1.800000e-01 0.42
## AdjPxDays 14 4236 6.25 7.750000e+00 3.93
## Alt1Ohls3 15 4236 -16118386.68 5.592347e+08 0.09
## AltmanX2 16 4236 -6628295.65 3.727348e+08 -0.02
## AltmanX3 17 4236 -1807068.11 7.409149e+07 -0.02
## AltmanX4 18 4236 156694811.35 3.763240e+09 -0.01
## OhlsonX1 19 4236 11.39 1.860000e+00 11.22
## OhlsonX2 20 4236 -8952071.89 6.322274e+08 0.59
## OhlsonX4 21 4236 0.89 2.010000e+00 0.68
## OhlsonX6 22 4236 -1551737.40 6.351308e+07 -0.01
## OhlsonX7 23 4236 164051668.27 1.945425e+09 -0.01
## OhlsonX9 24 4236 4250023.64 9.400601e+07 -930725.15
## OhlsonX5 25 4236 0.19 3.900000e-01 0.00
## OhlsonX8 26 4236 0.43 4.900000e-01 0.00
## Govt 27 4236 0.07 2.600000e-01 0.00
## Urban 28 4236 0.07 2.500000e-01 0.00
## ForProfit 29 4236 0.21 4.100000e-01 0.00
## HC1 30 4236 0.06 2.300000e-01 0.00
## HC2 31 4236 0.16 3.700000e-01 0.00
## HC4 32 4236 0.12 3.300000e-01 0.00
## HC5 33 4236 0.07 2.600000e-01 0.00
## AR_by_OpIncome.y.1. 34 4236 2.68 2.350000e+00 2.07
## FB_Plus_OpInc_ByFB.y.1. 35 4236 1.30 1.230000e+01 1.00
## PercentMedicaidDays.y.1. 36 4236 0.10 1.000000e-01 0.06
## PercentMedicareDays.y.1. 37 4236 0.32 1.200000e-01 0.30
## CurrentRatio.y.1. 38 4236 0.67 2.912000e+01 1.42
## Debt2Equity.y.1. 39 4236 1.39 5.243000e+01 0.32
## DaysSalesOutstanding.y.1. 40 4236 54.86 7.448000e+01 50.00
## LaborCompRatio.y.1. 41 4236 0.48 1.400000e-01 0.47
## OpProfitMargin.y.1. 42 4236 -0.08 2.100000e-01 -0.07
## DaysCashOnHand.y.1. 43 4236 33.79 9.321000e+01 13.07
## BedUtil.y.1. 44 4236 0.44 1.900000e-01 0.44
## AdjPxDays.y.1. 45 4236 6.22 7.600000e+00 4.04
## Alt1Ohls3.y.1. 46 4236 -12845940.33 3.689064e+08 0.10
## AltmanX2.y.1. 47 4236 -4526840.09 2.187265e+08 -0.03
## AltmanX3.y.1. 48 4236 -688017.94 3.102368e+07 0.00
## AltmanX4.y.1. 49 4236 22424917.38 1.498362e+09 -0.04
## OhlsonX1.y.1. 50 4236 11.39 1.690000e+00 11.27
## OhlsonX2.y.1. 51 4236 2777651.64 8.658722e+07 0.57
## OhlsonX4.y.1. 52 4236 0.92 2.360000e+00 0.65
## OhlsonX6.y.1. 53 4236 -932798.54 3.435014e+07 -0.01
## OhlsonX7.y.1. 54 4236 180353864.43 1.151255e+09 0.00
## OhlsonX9.y.1. 55 4236 1007658.36 7.195376e+07 -1080671.50
## OhlsonX5.y.1. 56 4236 0.15 3.600000e-01 0.00
## OhlsonX8.y.1. 57 4236 0.44 5.000000e-01 0.00
## HC4_5.y.1. 58 4236 0.20 4.000000e-01 0.00
## AR_by_OpIncome.y.2. 59 4236 2.89 2.320000e+00 2.29
## FB_Plus_OpInc_ByFB.y.2. 60 4236 -0.08 7.730000e+00 0.95
## PercentMedicaidDays.y.2. 61 4236 0.10 1.000000e-01 0.06
## PercentMedicareDays.y.2. 62 4236 0.32 1.200000e-01 0.30
## CurrentRatio.y.2. 63 4236 2.34 7.070000e+00 1.61
## Debt2Equity.y.2. 64 4236 2.15 4.498000e+01 0.37
## DaysSalesOutstanding.y.2. 65 4236 56.09 7.008000e+01 50.35
## LaborCompRatio.y.2. 66 4236 0.48 1.600000e-01 0.45
## OpProfitMargin.y.2. 67 4236 -0.07 2.600000e-01 -0.04
## DaysCashOnHand.y.2. 68 4236 33.39 8.983000e+01 13.28
## BedUtil.y.2. 69 4236 0.45 1.800000e-01 0.44
## AdjPxDays.y.2. 70 4236 6.28 7.490000e+00 4.16
## Alt1Ohls3.y.2. 71 4236 -55187063.96 5.627398e+08 0.10
## AltmanX2.y.2. 72 4236 -39111712.95 1.183168e+09 0.02
## AltmanX3.y.2. 73 4236 -20908855.21 2.408788e+08 0.02
## AltmanX4.y.2. 74 4236 92402092.92 1.234176e+09 0.03
## OhlsonX1.y.2. 75 4236 11.26 2.310000e+00 11.34
## OhlsonX2.y.2. 76 4236 45886507.36 4.537165e+08 0.55
## OhlsonX4.y.2. 77 4236 11.07 1.091900e+02 0.60
## OhlsonX6.y.2. 78 4236 -13117125.40 3.569867e+08 0.02
## OhlsonX7.y.2. 79 4236 172488824.11 1.138284e+09 0.04
## OhlsonX9.y.2. 80 4236 8064492.14 1.290440e+08 636132.18
## OhlsonX5.y.2. 81 4236 0.15 3.500000e-01 0.00
## OhlsonX8.y.2. 82 4236 0.23 4.200000e-01 0.00
## D_AR_by_OpIncome 83 4236 3.10 2.073000e+01 0.13
## D_FB_Plus_OpInc_ByFB 84 4236 2.46 4.143000e+01 -0.08
## D_CurrentRatio 85 4236 0.02 2.760000e+00 -0.09
## D_Debt2Equity 86 4236 -4.02 4.692000e+01 -0.05
## D_LiabFundBalRatio 87 4236 -4.45 4.788000e+01 -0.07
## D_DaysSalesOutstanding 88 4236 -0.73 7.051000e+01 -0.02
## D_LaborCompRatio 89 4236 0.07 4.400000e-01 0.02
## D_OpProfitMargin 90 4236 -0.01 3.010000e+00 0.00
## D_DaysCashOnHand 91 4236 29.88 3.736800e+02 0.00
## D_BedUtil 92 4236 0.06 3.800000e-01 -0.01
## D_AdjPxDays 93 4236 0.06 8.700000e-01 0.01
## D_Alt1Ohls3 94 4236 -19134537.39 1.384394e+09 -0.08
## D_AltmanX2 95 4236 20618748.05 1.156503e+09 -0.09
## D_AltmanX3 96 4236 10400346.95 5.297259e+08 -0.07
## D_AltmanX4 97 4236 -216892581.02 1.670471e+10 -0.23
## D_OhlsonX1 98 4236 0.00 1.100000e-01 0.00
## D_OhlsonX2 99 4236 -11367071.42 7.851221e+08 0.07
## D_OhlsonX4 100 4236 0.47 3.850000e+00 0.10
## D_OhlsonX6 101 4236 16372233.04 8.568653e+08 0.03
## D_OhlsonX7 102 4236 62284193.49 2.419069e+09 -0.12
## D_OhlsonX9 103 4236 640468.32 3.574244e+07 -0.12
## NegLiab.y.1. 104 4236 0.04 1.900000e-01 0.00
## NegLiab.y.2. 105 4236 0.04 1.900000e-01 0.00
## trimmed mad min max
## Bankrupt 0.50 0.74 0.000000e+00 1.000000e+00
## Year 2014.81 4.45 2.008000e+03 2.021000e+03
## AR_by_OpIncome 2.72 2.72 0.000000e+00 8.590000e+00
## FB_Plus_OpInc_ByFB 1.14 0.41 -4.289000e+01 6.986900e+02
## PercentMedicaidDays 0.08 0.04 0.000000e+00 8.300000e-01
## PercentMedicareDays 0.31 0.11 0.000000e+00 8.300000e-01
## CurrentRatio 1.49 1.11 -7.403000e+01 7.098050e+03
## Debt2Equity -0.14 0.94 -1.922500e+03 4.077900e+02
## DaysSalesOutstanding 53.10 14.42 -1.972370e+03 2.772490e+03
## LaborCompRatio 0.49 0.13 1.000000e-02 6.340000e+00
## OpProfitMargin -0.08 0.13 -1.046000e+01 8.000000e-01
## DaysCashOnHand 18.80 18.65 -7.385700e+02 3.060150e+03
## BedUtil 0.43 0.21 0.000000e+00 1.000000e+00
## AdjPxDays 4.66 2.84 0.000000e+00 1.258200e+02
## Alt1Ohls3 0.08 0.23 -2.069512e+10 1.716643e+10
## AltmanX2 -0.03 0.15 -2.401988e+10 2.003558e+09
## AltmanX3 -0.03 0.16 -3.706881e+09 1.405591e+09
## AltmanX4 239864.48 0.27 -1.500000e+11 1.520000e+11
## OhlsonX1 11.38 1.20 -1.115000e+01 1.724000e+01
## OhlsonX2 0.64 0.46 -3.619138e+10 4.035141e+09
## OhlsonX4 0.81 0.56 -2.381000e+01 3.551000e+01
## OhlsonX6 -0.01 0.12 -2.217599e+09 2.003558e+09
## OhlsonX7 157009.50 0.28 -1.000000e+11 2.474888e+10
## OhlsonX9 852947.95 7783569.19 -1.778187e+09 2.986955e+09
## OhlsonX5 0.11 0.00 0.000000e+00 1.000000e+00
## OhlsonX8 0.41 0.00 0.000000e+00 1.000000e+00
## Govt 0.00 0.00 0.000000e+00 1.000000e+00
## Urban 0.00 0.00 0.000000e+00 1.000000e+00
## ForProfit 0.14 0.00 0.000000e+00 1.000000e+00
## HC1 0.00 0.00 0.000000e+00 1.000000e+00
## HC2 0.07 0.00 0.000000e+00 1.000000e+00
## HC4 0.03 0.00 0.000000e+00 1.000000e+00
## HC5 0.00 0.00 0.000000e+00 1.000000e+00
## AR_by_OpIncome.y.1. 2.42 2.67 0.000000e+00 8.600000e+00
## FB_Plus_OpInc_ByFB.y.1. 1.02 0.36 -2.297900e+02 6.417900e+02
## PercentMedicaidDays.y.1. 0.08 0.04 0.000000e+00 8.300000e-01
## PercentMedicareDays.y.1. 0.31 0.11 0.000000e+00 8.300000e-01
## CurrentRatio.y.1. 1.53 1.17 -1.879700e+02 1.482250e+03
## Debt2Equity.y.1. 0.50 0.61 -6.275700e+02 2.403630e+03
## DaysSalesOutstanding.y.1. 51.96 13.34 -1.647780e+03 2.681920e+03
## LaborCompRatio.y.1. 0.48 0.13 -4.900000e-01 1.740000e+00
## OpProfitMargin.y.1. -0.07 0.12 -2.650000e+00 3.420000e+00
## DaysCashOnHand.y.1. 19.38 19.31 -1.292660e+03 2.814090e+03
## BedUtil.y.1. 0.44 0.23 0.000000e+00 1.000000e+00
## AdjPxDays.y.1. 4.71 3.19 0.000000e+00 1.415600e+02
## Alt1Ohls3.y.1. 0.07 0.21 -1.393858e+10 3.015305e+08
## AltmanX2.y.1. -0.03 0.12 -1.398103e+10 2.097515e+08
## AltmanX3.y.1. -0.01 0.15 -1.542306e+09 5.250694e+08
## AltmanX4.y.1. 0.05 0.20 -1.602656e+10 2.825674e+10
## OhlsonX1.y.1. 11.38 1.22 -1.115000e+01 1.712000e+01
## OhlsonX2.y.1. 0.60 0.42 -2.483980e+07 3.917888e+09
## OhlsonX4.y.1. 0.80 0.53 -5.212000e+01 6.172000e+01
## OhlsonX6.y.1. -0.01 0.10 -1.789527e+09 2.097517e+08
## OhlsonX7.y.1. 0.13 0.27 -7.165679e+09 2.558153e+10
## OhlsonX9.y.1. 324416.75 6338759.93 -1.308272e+09 1.455687e+09
## OhlsonX5.y.1. 0.07 0.00 0.000000e+00 1.000000e+00
## OhlsonX8.y.1. 0.43 0.00 0.000000e+00 1.000000e+00
## HC4_5.y.1. 0.12 0.00 0.000000e+00 1.000000e+00
## AR_by_OpIncome.y.2. 2.66 2.51 1.000000e-02 8.600000e+00
## FB_Plus_OpInc_ByFB.y.2. 0.91 0.26 -1.977600e+02 9.611000e+01
## PercentMedicaidDays.y.2. 0.08 0.04 0.000000e+00 8.300000e-01
## PercentMedicareDays.y.2. 0.31 0.11 0.000000e+00 8.300000e-01
## CurrentRatio.y.2. 1.83 1.27 -9.944000e+01 2.763400e+02
## Debt2Equity.y.2. 0.60 0.54 -2.681400e+03 4.554200e+02
## DaysSalesOutstanding.y.2. 52.44 13.49 -1.931850e+03 2.455250e+03
## LaborCompRatio.y.2. 0.47 0.13 1.000000e-02 4.580000e+00
## OpProfitMargin.y.2. -0.05 0.10 -9.570000e+00 1.050000e+00
## DaysCashOnHand.y.2. 20.43 19.69 -1.576700e+03 2.385800e+03
## BedUtil.y.2. 0.45 0.22 1.000000e-02 1.000000e+00
## AdjPxDays.y.2. 4.81 3.26 0.000000e+00 1.372600e+02
## Alt1Ohls3.y.2. 0.09 0.20 -1.303108e+10 1.546664e+09
## AltmanX2.y.2. 0.02 0.10 -5.695970e+10 7.113183e+08
## AltmanX3.y.2. 0.01 0.11 -3.464660e+09 4.765823e+09
## AltmanX4.y.2. 0.18 0.18 -9.235900e+09 2.753928e+10
## OhlsonX1.y.2. 11.39 1.22 -1.115000e+01 1.700000e+01
## OhlsonX2.y.2. 0.57 0.39 -6.485320e+07 6.737484e+09
## OhlsonX4.y.2. 0.74 0.49 -5.975000e+01 1.675990e+03
## OhlsonX6.y.2. 0.01 0.09 -2.700965e+09 1.998557e+10
## OhlsonX7.y.2. 0.11 0.20 -1.108916e+10 2.366226e+10
## OhlsonX9.y.2. 3076498.33 6780857.60 -6.091252e+08 5.228494e+09
## OhlsonX5.y.2. 0.06 0.00 0.000000e+00 1.000000e+00
## OhlsonX8.y.2. 0.16 0.00 0.000000e+00 1.000000e+00
## D_AR_by_OpIncome 1.27 0.94 -1.000000e+00 1.245000e+03
## D_FB_Plus_OpInc_ByFB -0.27 0.29 -9.690000e+02 6.228300e+02
## D_CurrentRatio -0.02 0.34 -1.260800e+02 2.300000e+01
## D_Debt2Equity -0.17 0.53 -7.519800e+02 1.721900e+02
## D_LiabFundBalRatio -0.13 0.44 -7.742200e+02 1.197100e+02
## D_DaysSalesOutstanding 0.02 0.19 -4.557000e+03 1.969000e+01
## D_LaborCompRatio 0.02 0.07 -5.670000e+00 1.500000e+01
## D_OpProfitMargin 0.04 0.76 -1.010000e+02 4.400000e+01
## D_DaysCashOnHand 0.54 0.72 -1.522800e+04 1.694500e+04
## D_BedUtil 0.00 0.09 -1.000000e+00 3.860000e+00
## D_AdjPxDays 0.01 0.09 -9.500000e-01 5.420000e+01
## D_Alt1Ohls3 -0.15 0.66 -8.997879e+10 3.052270e+09
## D_AltmanX2 -0.03 1.55 -8.772930e+03 7.506213e+10
## D_AltmanX3 -0.22 0.79 -1.539000e+03 3.406117e+10
## D_AltmanX4 -0.25 1.42 -9.380000e+11 4.500000e+11
## D_OhlsonX1 0.00 0.01 -2.290000e+00 1.310000e+00
## D_OhlsonX2 0.08 0.18 -5.097377e+10 1.882362e+09
## D_OhlsonX4 0.14 0.41 -1.045000e+02 1.050000e+02
## D_OhlsonX6 0.12 1.14 -8.772930e+03 5.543998e+10
## D_OhlsonX7 -0.26 0.82 -5.342444e+10 1.330000e+11
## D_OhlsonX9 -0.12 1.56 -3.247753e+08 2.107294e+09
## NegLiab.y.1. 0.00 0.00 0.000000e+00 1.000000e+00
## NegLiab.y.2. 0.00 0.00 0.000000e+00 1.000000e+00
## range skew kurtosis se IQR
## Bankrupt 1.000000e+00 0.00 -2.00 0.01 1.00
## Year 1.300000e+01 -0.10 -0.90 0.05 6.00
## AR_by_OpIncome 8.590000e+00 0.60 -0.63 0.04 3.54
## FB_Plus_OpInc_ByFB 7.415800e+02 12.34 162.31 0.66 0.62
## PercentMedicaidDays 8.300000e-01 2.05 4.91 0.00 0.09
## PercentMedicareDays 8.300000e-01 0.58 0.57 0.00 0.15
## CurrentRatio 7.172080e+03 63.77 4113.48 1.69 1.56
## Debt2Equity 2.330290e+03 -12.22 160.72 1.83 1.44
## DaysSalesOutstanding 4.744860e+03 6.02 418.26 1.32 22.34
## LaborCompRatio 6.330000e+00 9.55 110.29 0.01 0.18
## OpProfitMargin 1.126000e+01 -10.25 121.45 0.01 0.18
## DaysCashOnHand 3.798720e+03 12.43 244.04 1.65 32.49
## BedUtil 1.000000e+00 0.29 -0.66 0.00 0.29
## AdjPxDays 1.258200e+02 4.48 34.92 0.12 4.51
## Alt1Ohls3 3.786155e+10 -13.74 829.22 8592432.61 0.31
## AltmanX2 2.602344e+10 -63.13 4064.17 5726931.91 0.19
## AltmanX3 5.112472e+09 -34.87 1676.91 1138388.08 0.21
## AltmanX4 3.020000e+11 1.40 1243.65 57820773.60 0.41
## OhlsonX1 2.839000e+01 -5.65 69.54 0.03 1.68
## OhlsonX2 4.022652e+10 -49.95 2699.51 9713938.83 0.66
## OhlsonX4 5.932000e+01 -0.57 59.21 0.03 0.89
## OhlsonX6 4.221157e+09 -13.07 868.64 975854.79 0.17
## OhlsonX7 1.247489e+11 -29.92 1674.62 29890728.22 0.45
## OhlsonX9 4.765142e+09 5.59 342.27 1444367.29 11402544.69
## OhlsonX5 1.000000e+00 1.57 0.48 0.01 0.00
## OhlsonX8 1.000000e+00 0.29 -1.92 0.01 1.00
## Govt 1.000000e+00 3.23 8.44 0.00 0.00
## Urban 1.000000e+00 3.48 10.09 0.00 0.00
## ForProfit 1.000000e+00 1.41 -0.02 0.01 0.00
## HC1 1.000000e+00 3.86 12.93 0.00 0.00
## HC2 1.000000e+00 1.86 1.45 0.01 0.00
## HC4 1.000000e+00 2.32 3.36 0.01 0.00
## HC5 1.000000e+00 3.33 9.10 0.00 0.00
## AR_by_OpIncome.y.1. 8.600000e+00 0.72 -0.54 0.04 3.92
## FB_Plus_OpInc_ByFB.y.1. 8.715800e+02 34.33 1887.21 0.19 0.48
## PercentMedicaidDays.y.1. 8.300000e-01 2.05 4.91 0.00 0.09
## PercentMedicareDays.y.1. 8.300000e-01 0.58 0.57 0.00 0.15
## CurrentRatio.y.1. 1.670220e+03 32.03 1615.51 0.45 1.67
## Debt2Equity.y.1. 3.031200e+03 39.00 1763.03 0.81 0.98
## DaysSalesOutstanding.y.1. 4.329700e+03 8.94 567.38 1.14 19.33
## LaborCompRatio.y.1. 2.230000e+00 0.80 3.63 0.00 0.18
## OpProfitMargin.y.1. 6.070000e+00 -1.39 36.30 0.00 0.17
## DaysCashOnHand.y.1. 4.106750e+03 10.36 242.02 1.43 36.40
## BedUtil.y.1. 1.000000e+00 0.18 -0.80 0.00 0.31
## AdjPxDays.y.1. 1.415600e+02 4.87 45.67 0.12 4.81
## Alt1Ohls3.y.1. 1.424011e+10 -31.58 1047.91 5668108.90 0.29
## AltmanX2.y.1. 1.419078e+10 -61.84 3934.68 3360650.76 0.16
## AltmanX3.y.1. 2.067376e+09 -32.71 1596.55 476667.22 0.20
## AltmanX4.y.1. 4.428330e+10 1.87 103.33 23021770.62 0.29
## OhlsonX1.y.1. 2.827000e+01 -4.79 65.24 0.03 1.68
## OhlsonX2.y.1. 3.942728e+09 37.42 1498.03 1330380.35 0.57
## OhlsonX4.y.1. 1.138400e+02 0.95 192.21 0.04 0.85
## OhlsonX6.y.1. 1.999279e+09 -40.82 1924.56 527777.12 0.14
## OhlsonX7.y.1. 3.274721e+10 10.49 143.82 17688600.46 0.40
## OhlsonX9.y.1. 2.763959e+09 -0.54 178.64 1105542.68 9672174.75
## OhlsonX5.y.1. 1.000000e+00 1.92 1.71 0.01 0.00
## OhlsonX8.y.1. 1.000000e+00 0.24 -1.94 0.01 1.00
## HC4_5.y.1. 1.000000e+00 1.54 0.36 0.01 0.00
## AR_by_OpIncome.y.2. 8.600000e+00 0.71 -0.48 0.04 3.46
## FB_Plus_OpInc_ByFB.y.2. 2.938700e+02 -8.64 140.62 0.12 0.37
## PercentMedicaidDays.y.2. 8.300000e-01 2.05 4.91 0.00 0.09
## PercentMedicareDays.y.2. 8.300000e-01 0.58 0.57 0.00 0.15
## CurrentRatio.y.2. 3.757800e+02 24.02 860.97 0.11 1.90
## Debt2Equity.y.2. 3.136820e+03 -49.54 2991.83 0.69 0.97
## DaysSalesOutstanding.y.2. 4.387100e+03 6.14 635.66 1.08 19.83
## LaborCompRatio.y.2. 4.570000e+00 4.80 107.57 0.00 0.18
## OpProfitMargin.y.2. 1.062000e+01 -12.60 401.93 0.00 0.13
## DaysCashOnHand.y.2. 3.962500e+03 7.86 189.07 1.38 38.35
## BedUtil.y.2. 9.900000e-01 0.17 -0.75 0.00 0.29
## AdjPxDays.y.2. 1.372500e+02 4.74 44.06 0.12 4.90
## Alt1Ohls3.y.2. 1.457774e+10 -12.87 201.49 8646286.95 0.27
## AltmanX2.y.2. 5.767102e+10 -43.27 1940.71 18178932.05 0.12
## AltmanX3.y.2. 8.230483e+09 -7.93 150.18 3701012.29 0.15
## AltmanX4.y.2. 3.677518e+10 6.58 114.97 18962659.29 0.30
## OhlsonX1.y.2. 2.815000e+01 -5.53 47.31 0.04 1.64
## OhlsonX2.y.2. 6.802337e+09 11.16 132.30 6971184.25 0.53
## OhlsonX4.y.2. 1.735740e+03 11.50 139.16 1.68 0.75
## OhlsonX6.y.2. 2.268653e+10 40.00 2331.57 5484968.19 0.11
## OhlsonX7.y.2. 3.475141e+10 10.04 142.63 17489314.72 0.29
## OhlsonX9.y.2. 5.837619e+09 32.44 1280.52 1982713.29 11026885.91
## OhlsonX5.y.2. 1.000000e+00 1.99 1.95 0.01 0.00
## OhlsonX8.y.2. 1.000000e+00 1.31 -0.29 0.01 0.00
## D_AR_by_OpIncome 1.246000e+03 51.44 3043.27 0.32 2.63
## D_FB_Plus_OpInc_ByFB 1.591830e+03 6.94 193.13 0.64 0.56
## D_CurrentRatio 1.490800e+02 -27.99 1147.39 0.04 0.48
## D_Debt2Equity 9.241600e+02 -12.06 157.88 0.72 0.78
## D_LiabFundBalRatio 8.939400e+02 -12.37 163.19 0.74 0.63
## D_DaysSalesOutstanding 4.576690e+03 -63.80 4114.58 1.08 0.26
## D_LaborCompRatio 2.067000e+01 13.44 357.73 0.01 0.10
## D_OpProfitMargin 1.450000e+02 -12.59 396.31 0.05 1.07
## D_DaysCashOnHand 3.217300e+04 6.43 1650.48 5.74 1.23
## D_BedUtil 4.860000e+00 5.53 41.55 0.01 0.13
## D_AdjPxDays 5.515000e+01 56.12 3463.10 0.01 0.13
## D_Alt1Ohls3 9.303106e+10 -64.77 4206.18 21270693.96 0.90
## D_AltmanX2 7.506214e+10 64.51 4181.73 17769239.79 2.05
## D_AltmanX3 3.406117e+10 62.88 4028.91 8139040.93 1.11
## D_AltmanX4 1.388000e+12 -38.22 2482.19 256661706.59 1.92
## D_OhlsonX1 3.590000e+00 -16.42 318.43 0.00 0.01
## D_OhlsonX2 5.285613e+10 -64.56 4187.81 12063108.78 0.25
## D_OhlsonX4 2.095000e+02 1.40 295.52 0.06 0.57
## D_OhlsonX6 5.543999e+10 63.93 4129.29 13165415.93 1.55
## D_OhlsonX7 1.864244e+11 38.84 2238.98 37168100.53 1.15
## D_OhlsonX9 2.432069e+09 52.31 2955.69 549169.30 2.11
## NegLiab.y.1. 1.000000e+00 4.86 21.67 0.00 0.00
## NegLiab.y.2. 1.000000e+00 4.86 21.67 0.00 0.00
## Q0.25 Q0.75
## Bankrupt 0.00 1.00
## Year 2012.00 2018.00
## AR_by_OpIncome 0.95 4.50
## FB_Plus_OpInc_ByFB 0.82 1.44
## PercentMedicaidDays 0.03 0.12
## PercentMedicareDays 0.24 0.39
## CurrentRatio 0.71 2.27
## Debt2Equity -0.86 0.58
## DaysSalesOutstanding 41.16 63.49
## LaborCompRatio 0.39 0.57
## OpProfitMargin -0.17 0.01
## DaysCashOnHand 1.64 34.13
## BedUtil 0.29 0.58
## AdjPxDays 2.29 6.80
## Alt1Ohls3 -0.07 0.24
## AltmanX2 -0.13 0.06
## AltmanX3 -0.13 0.08
## AltmanX4 -0.17 0.24
## OhlsonX1 10.56 12.24
## OhlsonX2 0.32 0.98
## OhlsonX4 0.38 1.27
## OhlsonX6 -0.10 0.07
## OhlsonX7 -0.17 0.28
## OhlsonX9 -5082187.50 6320357.20
## OhlsonX5 0.00 0.00
## OhlsonX8 0.00 1.00
## Govt 0.00 0.00
## Urban 0.00 0.00
## ForProfit 0.00 0.00
## HC1 0.00 0.00
## HC2 0.00 0.00
## HC4 0.00 0.00
## HC5 0.00 0.00
## AR_by_OpIncome.y.1. 0.56 4.48
## FB_Plus_OpInc_ByFB.y.1. 0.76 1.24
## PercentMedicaidDays.y.1. 0.03 0.12
## PercentMedicareDays.y.1. 0.24 0.39
## CurrentRatio.y.1. 0.71 2.38
## Debt2Equity.y.1. 0.01 0.99
## DaysSalesOutstanding.y.1. 42.57 61.90
## LaborCompRatio.y.1. 0.39 0.57
## OpProfitMargin.y.1. -0.15 0.02
## DaysCashOnHand.y.1. 1.52 37.91
## BedUtil.y.1. 0.29 0.60
## AdjPxDays.y.1. 2.20 7.01
## Alt1Ohls3.y.1. -0.07 0.22
## AltmanX2.y.1. -0.10 0.06
## AltmanX3.y.1. -0.11 0.09
## AltmanX4.y.1. -0.14 0.15
## OhlsonX1.y.1. 10.55 12.23
## OhlsonX2.y.1. 0.33 0.90
## OhlsonX4.y.1. 0.36 1.21
## OhlsonX6.y.1. -0.07 0.07
## OhlsonX7.y.1. -0.15 0.25
## OhlsonX9.y.1. -4659499.25 5012675.50
## OhlsonX5.y.1. 0.00 0.00
## OhlsonX8.y.1. 0.00 1.00
## HC4_5.y.1. 0.00 0.00
## AR_by_OpIncome.y.2. 1.02 4.48
## FB_Plus_OpInc_ByFB.y.2. 0.73 1.10
## PercentMedicaidDays.y.2. 0.03 0.12
## PercentMedicareDays.y.2. 0.24 0.39
## CurrentRatio.y.2. 0.90 2.80
## Debt2Equity.y.2. 0.08 1.05
## DaysSalesOutstanding.y.2. 42.92 62.74
## LaborCompRatio.y.2. 0.38 0.56
## OpProfitMargin.y.2. -0.11 0.02
## DaysCashOnHand.y.2. 0.57 38.92
## BedUtil.y.2. 0.30 0.59
## AdjPxDays.y.2. 2.26 7.16
## Alt1Ohls3.y.2. -0.03 0.24
## AltmanX2.y.2. -0.04 0.08
## AltmanX3.y.2. -0.07 0.08
## AltmanX4.y.2. -0.05 0.25
## OhlsonX1.y.2. 10.56 12.20
## OhlsonX2.y.2. 0.31 0.84
## OhlsonX4.y.2. 0.33 1.08
## OhlsonX6.y.2. -0.04 0.07
## OhlsonX7.y.2. -0.09 0.20
## OhlsonX9.y.2. -2338967.47 8687918.44
## OhlsonX5.y.2. 0.00 0.00
## OhlsonX8.y.2. 0.00 0.00
## D_AR_by_OpIncome -0.22 2.40
## D_FB_Plus_OpInc_ByFB -0.53 0.03
## D_CurrentRatio -0.30 0.19
## D_Debt2Equity -0.56 0.23
## D_LiabFundBalRatio -0.44 0.19
## D_DaysSalesOutstanding -0.14 0.12
## D_LaborCompRatio -0.03 0.06
## D_OpProfitMargin -0.50 0.57
## D_DaysCashOnHand -0.34 0.89
## D_BedUtil -0.07 0.06
## D_AdjPxDays -0.05 0.07
## D_Alt1Ohls3 -0.63 0.27
## D_AltmanX2 -1.05 1.00
## D_AltmanX3 -0.77 0.34
## D_AltmanX4 -1.17 0.76
## D_OhlsonX1 -0.01 0.01
## D_OhlsonX2 -0.05 0.20
## D_OhlsonX4 -0.14 0.43
## D_OhlsonX6 -0.66 0.89
## D_OhlsonX7 -0.83 0.32
## D_OhlsonX9 -1.17 0.94
## NegLiab.y.1. 0.00 0.00
## NegLiab.y.2. 0.00 0.00describe(train4, IQR = TRUE, quant = c(.25, .75))## vars n mean sd median
## Bankrupt 1 4840 0.50 5.000000e-01 0.50
## Year 2 4840 2014.88 3.490000e+00 2015.00
## AR_by_OpIncome 3 4840 2.86 2.450000e+00 2.32
## FB_Plus_OpInc_ByFB 4 4840 9.79 6.531000e+01 1.03
## PercentMedicaidDays 5 4840 0.10 9.000000e-02 0.06
## PercentMedicareDays 6 4840 0.32 1.100000e-01 0.31
## CurrentRatio 7 4840 3.48 1.030900e+02 1.24
## Debt2Equity 8 4840 -24.06 1.801600e+02 0.25
## DaysSalesOutstanding 9 4840 54.61 7.688000e+01 49.86
## LaborCompRatio 10 4840 0.52 4.100000e-01 0.46
## OpProfitMargin 11 4840 -0.14 7.200000e-01 -0.06
## DaysCashOnHand 12 4840 32.40 1.032300e+02 10.32
## BedUtil 13 4840 0.44 1.800000e-01 0.42
## AdjPxDays 14 4840 6.55 7.650000e+00 4.37
## Alt1Ohls3 15 4840 -10661656.73 4.772885e+08 0.08
## AltmanX2 16 4840 -6460546.29 3.525166e+08 -0.01
## AltmanX3 17 4840 -1133186.54 4.873188e+07 0.00
## AltmanX4 18 4840 183395126.25 3.584666e+09 0.00
## OhlsonX1 19 4840 11.51 1.730000e+00 11.47
## OhlsonX2 20 4840 -7950198.41 5.916717e+08 0.61
## OhlsonX4 21 4840 0.98 9.650000e+00 0.71
## OhlsonX6 22 4840 -1430765.48 5.994380e+07 0.00
## OhlsonX7 23 4840 204722056.33 1.984547e+09 0.04
## OhlsonX9 24 4840 3285195.81 7.768034e+07 -632731.50
## OhlsonX5 25 4840 0.15 3.600000e-01 0.00
## OhlsonX8 26 4840 0.37 4.800000e-01 0.00
## Govt 27 4840 0.08 2.700000e-01 0.00
## Urban 28 4840 0.06 2.400000e-01 0.00
## ForProfit 29 4840 0.24 4.200000e-01 0.00
## HC1 30 4840 0.04 1.900000e-01 0.00
## HC2 31 4840 0.14 3.500000e-01 0.00
## HC4 32 4840 0.13 3.300000e-01 0.00
## HC5 33 4840 0.06 2.400000e-01 0.00
## AR_by_OpIncome.y.1. 34 4840 2.81 2.400000e+00 2.31
## FB_Plus_OpInc_ByFB.y.1. 35 4840 1.54 2.376000e+01 1.00
## PercentMedicaidDays.y.1. 36 4840 0.10 9.000000e-02 0.06
## PercentMedicareDays.y.1. 37 4840 0.32 1.100000e-01 0.31
## CurrentRatio.y.1. 38 4840 1.65 2.874000e+01 1.44
## Debt2Equity.y.1. 39 4840 2.18 8.100000e+01 0.32
## DaysSalesOutstanding.y.1. 40 4840 54.91 7.054000e+01 50.32
## LaborCompRatio.y.1. 41 4840 0.48 1.500000e-01 0.45
## OpProfitMargin.y.1. 42 4840 -0.08 2.300000e-01 -0.06
## DaysCashOnHand.y.1. 43 4840 33.82 9.438000e+01 13.41
## BedUtil.y.1. 44 4840 0.44 1.900000e-01 0.43
## AdjPxDays.y.1. 45 4840 6.61 7.400000e+00 4.62
## Alt1Ohls3.y.1. 46 4840 -7360831.70 2.711859e+08 0.11
## AltmanX2.y.1. 47 4840 -3357753.24 2.026158e+08 -0.01
## AltmanX3.y.1. 48 4840 -79429.69 1.448849e+07 0.00
## AltmanX4.y.1. 49 4840 162621739.43 1.296226e+09 -0.01
## OhlsonX1.y.1. 50 4840 11.54 1.530000e+00 11.51
## OhlsonX2.y.1. 51 4840 1845510.45 7.497649e+07 0.61
## OhlsonX4.y.1. 52 4840 0.80 3.660000e+00 0.63
## OhlsonX6.y.1. 53 4840 -295891.73 1.774943e+07 0.00
## OhlsonX7.y.1. 54 4840 207206546.12 1.291454e+09 0.01
## OhlsonX9.y.1. 55 4840 2461505.44 6.320422e+07 -317431.00
## OhlsonX5.y.1. 56 4840 0.13 3.400000e-01 0.00
## OhlsonX8.y.1. 57 4840 0.30 4.600000e-01 0.00
## HC4_5.y.1. 58 4840 0.19 3.900000e-01 0.00
## AR_by_OpIncome.y.2. 59 4840 3.07 2.410000e+00 2.57
## FB_Plus_OpInc_ByFB.y.2. 60 4840 0.60 9.630000e+00 0.99
## PercentMedicaidDays.y.2. 61 4840 0.10 9.000000e-02 0.06
## PercentMedicareDays.y.2. 62 4840 0.32 1.100000e-01 0.31
## CurrentRatio.y.2. 63 4840 3.16 6.391000e+01 1.58
## Debt2Equity.y.2. 64 4840 0.45 6.171000e+01 0.41
## DaysSalesOutstanding.y.2. 65 4840 57.13 6.566000e+01 51.45
## LaborCompRatio.y.2. 66 4840 0.46 1.600000e-01 0.44
## OpProfitMargin.y.2. 67 4840 -0.06 2.600000e-01 -0.04
## DaysCashOnHand.y.2. 68 4840 32.89 8.975000e+01 13.25
## BedUtil.y.2. 69 4840 0.45 1.900000e-01 0.43
## AdjPxDays.y.2. 70 4840 6.70 7.310000e+00 4.76
## Alt1Ohls3.y.2. 71 4840 -39785659.86 4.690913e+08 0.12
## AltmanX2.y.2. 72 4840 -29720361.92 1.080758e+09 0.02
## AltmanX3.y.2. 73 4840 -14876852.28 2.071155e+08 0.02
## AltmanX4.y.2. 74 4840 11885976.70 3.210470e+09 0.04
## OhlsonX1.y.2. 75 4840 11.44 2.060000e+00 11.56
## OhlsonX2.y.2. 76 4840 34771914.03 3.882113e+08 0.59
## OhlsonX4.y.2. 77 4840 11.20 1.087700e+02 0.59
## OhlsonX6.y.2. 78 4840 -8707776.04 3.263130e+08 0.02
## OhlsonX7.y.2. 79 4840 207002420.69 1.319767e+09 0.03
## OhlsonX9.y.2. 80 4840 7232720.56 1.342843e+08 1531788.79
## OhlsonX5.y.2. 81 4840 0.12 3.300000e-01 0.00
## OhlsonX8.y.2. 82 4840 0.29 4.500000e-01 0.00
## D_AR_by_OpIncome 83 4840 3.43 2.011000e+01 0.01
## D_FB_Plus_OpInc_ByFB 84 4840 6.80 6.023000e+01 -0.07
## D_CurrentRatio 85 4840 -0.20 3.020000e+00 -0.14
## D_Debt2Equity 86 4840 -7.33 7.211000e+01 -0.01
## D_LiabFundBalRatio 87 4840 -9.89 7.527000e+01 -0.05
## D_DaysSalesOutstanding 88 4840 -0.64 6.644000e+01 0.00
## D_LaborCompRatio 89 4840 0.05 4.400000e-01 0.00
## D_OpProfitMargin 90 4840 -0.13 2.860000e+00 -0.07
## D_DaysCashOnHand 91 4840 28.96 3.121900e+02 -0.08
## D_BedUtil 92 4840 0.05 8.500000e-01 -0.02
## D_AdjPxDays 93 4840 12.13 8.430800e+02 -0.01
## D_Alt1Ohls3 94 4840 -17495194.36 1.296168e+09 0.00
## D_AltmanX2 95 4840 18010366.25 1.081946e+09 -0.59
## D_AltmanX3 96 4840 9150360.69 4.955867e+08 -0.17
## D_AltmanX4 97 4840 -756866486.43 4.250492e+10 -0.69
## D_OhlsonX1 98 4840 0.00 1.100000e-01 0.00
## D_OhlsonX2 99 4840 -4544295.25 8.251993e+08 0.04
## D_OhlsonX4 100 4840 0.42 3.420000e+00 0.15
## D_OhlsonX6 101 4840 14360287.92 8.016276e+08 -0.37
## D_OhlsonX7 102 4840 101096745.66 3.338921e+09 -0.18
## D_OhlsonX9 103 4840 560539.66 3.343812e+07 -0.66
## NegLiab.y.1. 104 4840 0.04 1.900000e-01 0.00
## NegLiab.y.2. 105 4840 0.04 2.000000e-01 0.00
## trimmed mad min max
## Bankrupt 0.50 0.74 0.000000e+00 1.000000e+00
## Year 2014.91 4.45 2.008000e+03 2.021000e+03
## AR_by_OpIncome 2.62 3.04 0.000000e+00 8.540000e+00
## FB_Plus_OpInc_ByFB 1.02 0.33 -3.383000e+01 6.986900e+02
## PercentMedicaidDays 0.08 0.05 0.000000e+00 8.400000e-01
## PercentMedicareDays 0.31 0.10 0.000000e+00 8.300000e-01
## CurrentRatio 1.39 1.13 -4.645900e+02 7.098050e+03
## Debt2Equity 0.18 0.87 -1.922500e+03 4.077900e+02
## DaysSalesOutstanding 51.28 14.22 -1.972370e+03 2.772490e+03
## LaborCompRatio 0.47 0.14 1.000000e-02 6.340000e+00
## OpProfitMargin -0.06 0.14 -1.046000e+01 8.000000e-01
## DaysCashOnHand 16.98 15.54 -7.541700e+02 3.060150e+03
## BedUtil 0.43 0.21 0.000000e+00 1.000000e+00
## AdjPxDays 5.01 3.28 0.000000e+00 8.219000e+01
## Alt1Ohls3 0.04 0.28 -2.069512e+10 1.716643e+10
## AltmanX2 -0.02 0.12 -2.401988e+10 2.003558e+09
## AltmanX3 -0.01 0.16 -2.043670e+09 1.405591e+09
## AltmanX4 2521651.45 0.22 -1.500000e+11 1.520000e+11
## OhlsonX1 11.51 1.18 -1.115000e+01 1.724000e+01
## OhlsonX2 0.66 0.49 -3.619138e+10 4.035141e+09
## OhlsonX4 0.92 0.66 -6.426000e+02 6.905000e+01
## OhlsonX6 0.00 0.12 -2.217599e+09 2.003558e+09
## OhlsonX7 3540906.95 0.28 -1.000000e+11 2.906021e+10
## OhlsonX9 824876.22 7971488.01 -1.528754e+09 1.524243e+09
## OhlsonX5 0.06 0.00 0.000000e+00 1.000000e+00
## OhlsonX8 0.34 0.00 0.000000e+00 1.000000e+00
## Govt 0.00 0.00 0.000000e+00 1.000000e+00
## Urban 0.00 0.00 0.000000e+00 1.000000e+00
## ForProfit 0.17 0.00 0.000000e+00 1.000000e+00
## HC1 0.00 0.00 0.000000e+00 1.000000e+00
## HC2 0.05 0.00 0.000000e+00 1.000000e+00
## HC4 0.03 0.00 0.000000e+00 1.000000e+00
## HC5 0.00 0.00 0.000000e+00 1.000000e+00
## AR_by_OpIncome.y.1. 2.57 3.10 0.000000e+00 8.600000e+00
## FB_Plus_OpInc_ByFB.y.1. 0.96 0.35 -2.297900e+02 1.378650e+03
## PercentMedicaidDays.y.1. 0.08 0.05 0.000000e+00 8.400000e-01
## PercentMedicareDays.y.1. 0.31 0.10 0.000000e+00 8.300000e-01
## CurrentRatio.y.1. 1.58 1.17 -7.873100e+02 1.482250e+03
## Debt2Equity.y.1. 0.50 0.95 -6.275700e+02 4.467920e+03
## DaysSalesOutstanding.y.1. 52.31 14.98 -1.593290e+03 2.681920e+03
## LaborCompRatio.y.1. 0.47 0.14 -4.900000e-01 1.740000e+00
## OpProfitMargin.y.1. -0.07 0.13 -6.890000e+00 3.420000e+00
## DaysCashOnHand.y.1. 19.73 19.88 -1.292660e+03 2.814090e+03
## BedUtil.y.1. 0.44 0.22 0.000000e+00 1.000000e+00
## AdjPxDays.y.1. 5.17 3.43 0.000000e+00 7.961000e+01
## Alt1Ohls3.y.1. 0.09 0.21 -1.295576e+10 1.244798e+08
## AltmanX2.y.1. -0.02 0.12 -1.398103e+10 2.097515e+08
## AltmanX3.y.1. -0.02 0.15 -4.155656e+08 5.250694e+08
## AltmanX4.y.1. 532107.47 0.22 -2.914540e+10 2.825674e+10
## OhlsonX1.y.1. 11.53 1.14 -1.115000e+01 1.712000e+01
## OhlsonX2.y.1. 0.64 0.44 -2.483980e+07 3.917888e+09
## OhlsonX4.y.1. 0.75 0.50 -1.835000e+02 6.172000e+01
## OhlsonX6.y.1. -0.01 0.11 -9.996727e+08 2.097517e+08
## OhlsonX7.y.1. 971013.62 0.26 -2.396372e+10 2.558153e+10
## OhlsonX9.y.1. 1130202.96 7089521.88 -1.293776e+09 1.455687e+09
## OhlsonX5.y.1. 0.04 0.00 0.000000e+00 1.000000e+00
## OhlsonX8.y.1. 0.25 0.00 0.000000e+00 1.000000e+00
## HC4_5.y.1. 0.12 0.00 0.000000e+00 1.000000e+00
## AR_by_OpIncome.y.2. 2.88 2.86 1.000000e-02 8.600000e+00
## FB_Plus_OpInc_ByFB.y.2. 0.97 0.28 -3.264500e+02 4.451800e+02
## PercentMedicaidDays.y.2. 0.08 0.05 0.000000e+00 8.400000e-01
## PercentMedicareDays.y.2. 0.31 0.10 0.000000e+00 8.300000e-01
## CurrentRatio.y.2. 1.75 1.11 -9.944000e+01 4.418520e+03
## Debt2Equity.y.2. 0.69 0.77 -3.255210e+03 4.554200e+02
## DaysSalesOutstanding.y.2. 52.81 14.74 -1.931850e+03 2.455250e+03
## LaborCompRatio.y.2. 0.45 0.13 -1.990000e+00 4.580000e+00
## OpProfitMargin.y.2. -0.04 0.11 -9.570000e+00 8.190000e+00
## DaysCashOnHand.y.2. 20.32 19.63 -1.576700e+03 2.385800e+03
## BedUtil.y.2. 0.44 0.21 0.000000e+00 1.000000e+00
## AdjPxDays.y.2. 5.31 3.56 0.000000e+00 8.133000e+01
## Alt1Ohls3.y.2. 0.12 0.16 -1.303108e+10 1.546664e+09
## AltmanX2.y.2. 0.03 0.13 -5.695970e+10 1.100960e+09
## AltmanX3.y.2. 0.01 0.12 -3.464660e+09 4.765823e+09
## AltmanX4.y.2. 0.22 0.25 -1.540000e+11 1.140000e+11
## OhlsonX1.y.2. 11.54 1.12 -1.115000e+01 1.700000e+01
## OhlsonX2.y.2. 0.62 0.41 -1.329000e+01 6.737484e+09
## OhlsonX4.y.2. 0.67 0.43 -9.859000e+01 1.675990e+03
## OhlsonX6.y.2. 0.01 0.09 -2.700965e+09 1.998557e+10
## OhlsonX7.y.2. 0.15 0.22 -2.319753e+10 3.100398e+10
## OhlsonX9.y.2. 3358581.97 10553157.86 -1.539479e+09 5.228494e+09
## OhlsonX5.y.2. 0.03 0.00 0.000000e+00 1.000000e+00
## OhlsonX8.y.2. 0.23 0.00 0.000000e+00 1.000000e+00
## D_AR_by_OpIncome 1.23 0.84 -1.000000e+00 1.245000e+03
## D_FB_Plus_OpInc_ByFB -0.32 0.30 -9.690000e+02 6.228300e+02
## D_CurrentRatio -0.13 0.31 -1.260800e+02 2.300000e+01
## D_Debt2Equity -0.02 0.46 -7.519800e+02 3.553800e+02
## D_LiabFundBalRatio -0.12 0.46 -1.422190e+03 1.197100e+02
## D_DaysSalesOutstanding 0.01 0.16 -4.557000e+03 5.583800e+02
## D_LaborCompRatio 0.00 0.08 -5.670000e+00 1.500000e+01
## D_OpProfitMargin -0.07 0.84 -1.010000e+02 7.800000e+01
## D_DaysCashOnHand 0.03 0.70 -6.450000e+02 1.694500e+04
## D_BedUtil -0.01 0.10 -1.000000e+00 5.300000e+01
## D_AdjPxDays -0.01 0.08 -9.500000e-01 5.865316e+04
## D_Alt1Ohls3 0.08 0.66 -8.997879e+10 3.052270e+09
## D_AltmanX2 -0.60 1.54 -1.708382e+08 7.506213e+10
## D_AltmanX3 -0.31 0.85 -1.539000e+03 3.406117e+10
## D_AltmanX4 -0.85 1.68 -2.750000e+12 4.500000e+11
## D_OhlsonX1 0.00 0.01 -2.310000e+00 1.310000e+00
## D_OhlsonX2 0.06 0.18 -5.097377e+10 2.615652e+10
## D_OhlsonX4 0.21 0.41 -1.045000e+02 1.050000e+02
## D_OhlsonX6 -0.51 1.10 -8.772930e+03 5.543998e+10
## D_OhlsonX7 -0.27 0.87 -5.342444e+10 1.700000e+11
## D_OhlsonX9 -0.77 1.57 -3.247753e+08 2.107294e+09
## NegLiab.y.1. 0.00 0.00 0.000000e+00 1.000000e+00
## NegLiab.y.2. 0.00 0.00 0.000000e+00 1.000000e+00
## range skew kurtosis se IQR
## Bankrupt 1.000000e+00 0.00 -2.00 0.01 1.00
## Year 1.300000e+01 -0.13 -0.93 0.05 6.00
## AR_by_OpIncome 8.540000e+00 0.61 -0.76 0.04 3.92
## FB_Plus_OpInc_ByFB 7.325200e+02 8.25 70.07 0.94 0.43
## PercentMedicaidDays 8.400000e-01 1.98 5.65 0.00 0.09
## PercentMedicareDays 8.300000e-01 0.39 0.59 0.00 0.13
## CurrentRatio 7.562640e+03 67.40 4631.33 1.48 1.63
## Debt2Equity 2.330290e+03 -8.22 69.79 2.59 1.21
## DaysSalesOutstanding 4.744860e+03 11.38 554.15 1.11 19.95
## LaborCompRatio 6.330000e+00 9.24 101.22 0.01 0.20
## OpProfitMargin 1.126000e+01 -9.83 108.38 0.01 0.19
## DaysCashOnHand 3.814320e+03 12.27 250.46 1.48 32.84
## BedUtil 1.000000e+00 0.31 -0.58 0.00 0.28
## AdjPxDays 8.219000e+01 3.70 20.13 0.11 4.82
## Alt1Ohls3 3.786155e+10 -13.49 1195.11 6860539.16 0.40
## AltmanX2 2.602344e+10 -65.55 4448.71 5067069.85 0.17
## AltmanX3 3.449261e+09 -21.76 1104.23 700471.54 0.21
## AltmanX4 3.020000e+11 1.50 1323.15 51525957.70 0.38
## OhlsonX1 2.839000e+01 -5.35 70.51 0.02 1.59
## OhlsonX2 4.022652e+10 -53.33 3080.91 8504682.60 0.68
## OhlsonX4 7.116500e+02 -61.29 4092.17 0.14 1.19
## OhlsonX6 4.221157e+09 -13.94 963.68 861631.54 0.15
## OhlsonX7 1.290602e+11 -23.93 1372.80 28525852.79 0.54
## OhlsonX9 3.052997e+09 -2.72 180.34 1116576.38 11501100.25
## OhlsonX5 1.000000e+00 1.94 1.77 0.01 0.00
## OhlsonX8 1.000000e+00 0.54 -1.71 0.01 1.00
## Govt 1.000000e+00 3.06 7.37 0.00 0.00
## Urban 1.000000e+00 3.57 10.78 0.00 0.00
## ForProfit 1.000000e+00 1.24 -0.46 0.01 0.00
## HC1 1.000000e+00 4.91 22.07 0.00 0.00
## HC2 1.000000e+00 2.07 2.29 0.00 0.00
## HC4 1.000000e+00 2.23 2.99 0.00 0.00
## HC5 1.000000e+00 3.67 11.47 0.00 0.00
## AR_by_OpIncome.y.1. 8.600000e+00 0.59 -0.74 0.03 3.98
## FB_Plus_OpInc_ByFB.y.1. 1.608440e+03 45.44 2467.51 0.34 0.48
## PercentMedicaidDays.y.1. 8.400000e-01 1.98 5.65 0.00 0.09
## PercentMedicareDays.y.1. 8.300000e-01 0.39 0.59 0.00 0.13
## CurrentRatio.y.1. 2.269560e+03 25.89 1608.80 0.41 1.65
## Debt2Equity.y.1. 5.095490e+03 43.89 2177.15 1.16 1.19
## DaysSalesOutstanding.y.1. 4.275210e+03 14.34 590.05 1.01 21.31
## LaborCompRatio.y.1. 2.230000e+00 0.81 3.01 0.00 0.20
## OpProfitMargin.y.1. 1.031000e+01 -6.83 192.05 0.00 0.17
## DaysCashOnHand.y.1. 4.106750e+03 9.71 218.27 1.36 38.95
## BedUtil.y.1. 1.000000e+00 0.21 -0.72 0.00 0.30
## AdjPxDays.y.1. 7.961000e+01 3.67 20.12 0.11 4.98
## Alt1Ohls3.y.1. 1.308024e+10 -40.25 1686.66 3898023.20 0.28
## AltmanX2.y.1. 1.419078e+10 -67.95 4677.45 2912397.78 0.17
## AltmanX3.y.1. 9.406350e+08 3.68 959.20 208257.39 0.20
## AltmanX4.y.1. 5.740214e+10 5.29 180.51 18631940.15 0.31
## OhlsonX1.y.1. 2.827000e+01 -3.91 59.28 0.02 1.54
## OhlsonX2.y.1. 3.942728e+09 46.19 2220.75 1077711.22 0.61
## OhlsonX4.y.1. 2.452200e+02 -28.34 1402.92 0.05 0.79
## OhlsonX6.y.1. 1.209424e+09 -43.76 2278.54 255130.07 0.16
## OhlsonX7.y.1. 4.954525e+10 7.77 143.66 18563343.19 0.41
## OhlsonX9.y.1. 2.749463e+09 2.27 205.46 908496.80 10432321.75
## OhlsonX5.y.1. 1.000000e+00 2.18 2.74 0.00 0.00
## OhlsonX8.y.1. 1.000000e+00 0.86 -1.25 0.01 1.00
## HC4_5.y.1. 1.000000e+00 1.56 0.44 0.01 0.00
## AR_by_OpIncome.y.2. 8.600000e+00 0.49 -0.83 0.03 3.63
## FB_Plus_OpInc_ByFB.y.2. 7.716300e+02 9.52 1256.85 0.14 0.39
## PercentMedicaidDays.y.2. 8.400000e-01 1.98 5.65 0.00 0.09
## PercentMedicareDays.y.2. 8.300000e-01 0.39 0.59 0.00 0.13
## CurrentRatio.y.2. 4.517960e+03 68.16 4703.67 0.92 1.65
## Debt2Equity.y.2. 3.710630e+03 -47.20 2335.71 0.89 1.27
## DaysSalesOutstanding.y.2. 4.387100e+03 10.90 666.36 0.94 20.20
## LaborCompRatio.y.2. 6.570000e+00 3.57 113.53 0.00 0.19
## OpProfitMargin.y.2. 1.776000e+01 -4.70 544.95 0.00 0.15
## DaysCashOnHand.y.2. 3.962500e+03 8.02 184.41 1.29 38.64
## BedUtil.y.2. 1.000000e+00 0.23 -0.65 0.00 0.29
## AdjPxDays.y.2. 8.133000e+01 3.58 19.89 0.11 5.15
## Alt1Ohls3.y.2. 1.457774e+10 -14.78 267.31 6742713.86 0.22
## AltmanX2.y.2. 5.806066e+10 -48.96 2430.63 15534800.62 0.18
## AltmanX3.y.2. 8.230483e+09 -8.17 200.15 2977076.63 0.16
## AltmanX4.y.2. 2.680000e+11 -15.31 1461.77 46147259.09 0.48
## OhlsonX1.y.2. 2.815000e+01 -5.70 54.98 0.03 1.51
## OhlsonX2.y.2. 6.737484e+09 12.59 169.20 5580144.93 0.55
## OhlsonX4.y.2. 1.774580e+03 11.48 139.87 1.56 0.64
## OhlsonX6.y.2. 2.268653e+10 46.17 2918.48 4690419.08 0.13
## OhlsonX7.y.2. 5.420151e+10 8.93 171.07 18970310.24 0.33
## OhlsonX9.y.2. 6.767973e+09 27.90 1023.14 1930201.39 14246003.02
## OhlsonX5.y.2. 1.000000e+00 2.29 3.26 0.00 0.00
## OhlsonX8.y.2. 1.000000e+00 0.94 -1.12 0.01 1.00
## D_AR_by_OpIncome 1.246000e+03 49.43 3003.87 0.29 2.76
## D_FB_Plus_OpInc_ByFB 1.591830e+03 6.64 75.84 0.87 0.66
## D_CurrentRatio 1.490800e+02 -31.17 1212.29 0.04 0.42
## D_Debt2Equity 1.107350e+03 -7.76 64.77 1.04 0.62
## D_LiabFundBalRatio 1.541900e+03 -8.72 85.35 1.08 0.62
## D_DaysSalesOutstanding 5.115380e+03 -66.60 4567.51 0.96 0.22
## D_LaborCompRatio 2.067000e+01 12.78 327.51 0.01 0.10
## D_OpProfitMargin 1.790000e+02 -6.78 472.98 0.04 1.12
## D_DaysCashOnHand 1.759000e+04 35.21 1796.90 4.49 0.96
## D_BedUtil 5.400000e+01 51.19 3163.71 0.01 0.13
## D_AdjPxDays 5.865410e+04 69.53 4832.99 12.12 0.11
## D_Alt1Ohls3 9.303106e+10 -69.08 4791.40 18631102.83 0.91
## D_AltmanX2 7.523297e+10 68.96 4778.93 15551884.04 2.07
## D_AltmanX3 3.406117e+10 67.22 4603.93 7123557.30 1.14
## D_AltmanX4 3.200000e+12 -57.93 3664.97 610965240.21 2.33
## D_OhlsonX1 3.620000e+00 -16.40 326.03 0.00 0.01
## D_OhlsonX2 7.713030e+10 -42.10 3212.86 11861406.55 0.24
## D_OhlsonX4 2.095000e+02 1.44 441.67 0.05 0.58
## D_OhlsonX6 5.543999e+10 68.34 4718.98 11522586.07 1.52
## D_OhlsonX7 2.234244e+11 40.16 1922.29 47993612.34 1.18
## D_OhlsonX9 2.432069e+09 55.93 3378.02 480639.15 2.16
## NegLiab.y.1. 1.000000e+00 4.73 20.37 0.00 0.00
## NegLiab.y.2. 1.000000e+00 4.67 19.85 0.00 0.00
## Q0.25 Q0.75
## Bankrupt 0.00 1.00
## Year 2012.00 2018.00
## AR_by_OpIncome 0.60 4.52
## FB_Plus_OpInc_ByFB 0.78 1.21
## PercentMedicaidDays 0.04 0.13
## PercentMedicareDays 0.25 0.38
## CurrentRatio 0.56 2.19
## Debt2Equity -0.41 0.80
## DaysSalesOutstanding 41.04 60.99
## LaborCompRatio 0.37 0.57
## OpProfitMargin -0.16 0.03
## DaysCashOnHand 0.45 33.29
## BedUtil 0.29 0.57
## AdjPxDays 2.44 7.26
## Alt1Ohls3 -0.17 0.23
## AltmanX2 -0.11 0.06
## AltmanX3 -0.12 0.09
## AltmanX4 -0.12 0.26
## OhlsonX1 10.68 12.27
## OhlsonX2 0.32 1.00
## OhlsonX4 0.37 1.56
## OhlsonX6 -0.08 0.07
## OhlsonX7 -0.12 0.42
## OhlsonX9 -5246276.50 6254823.75
## OhlsonX5 0.00 0.00
## OhlsonX8 0.00 1.00
## Govt 0.00 0.00
## Urban 0.00 0.00
## ForProfit 0.00 0.00
## HC1 0.00 0.00
## HC2 0.00 0.00
## HC4 0.00 0.00
## HC5 0.00 0.00
## AR_by_OpIncome.y.1. 0.53 4.52
## FB_Plus_OpInc_ByFB.y.1. 0.71 1.19
## PercentMedicaidDays.y.1. 0.04 0.13
## PercentMedicareDays.y.1. 0.25 0.38
## CurrentRatio.y.1. 0.75 2.40
## Debt2Equity.y.1. 0.00 1.19
## DaysSalesOutstanding.y.1. 41.88 63.19
## LaborCompRatio.y.1. 0.38 0.58
## OpProfitMargin.y.1. -0.15 0.02
## DaysCashOnHand.y.1. 0.78 39.73
## BedUtil.y.1. 0.29 0.59
## AdjPxDays.y.1. 2.60 7.58
## Alt1Ohls3.y.1. -0.05 0.24
## AltmanX2.y.1. -0.11 0.06
## AltmanX3.y.1. -0.12 0.08
## AltmanX4.y.1. -0.13 0.18
## OhlsonX1.y.1. 10.73 12.27
## OhlsonX2.y.1. 0.33 0.94
## OhlsonX4.y.1. 0.35 1.14
## OhlsonX6.y.1. -0.09 0.07
## OhlsonX7.y.1. -0.13 0.28
## OhlsonX9.y.1. -4413218.50 6019103.25
## OhlsonX5.y.1. 0.00 0.00
## OhlsonX8.y.1. 0.00 1.00
## HC4_5.y.1. 0.00 0.00
## AR_by_OpIncome.y.2. 0.95 4.58
## FB_Plus_OpInc_ByFB.y.2. 0.77 1.16
## PercentMedicaidDays.y.2. 0.04 0.13
## PercentMedicareDays.y.2. 0.25 0.38
## CurrentRatio.y.2. 0.95 2.60
## Debt2Equity.y.2. 0.03 1.30
## DaysSalesOutstanding.y.2. 42.97 63.17
## LaborCompRatio.y.2. 0.36 0.55
## OpProfitMargin.y.2. -0.12 0.03
## DaysCashOnHand.y.2. 0.87 39.51
## BedUtil.y.2. 0.30 0.59
## AdjPxDays.y.2. 2.60 7.75
## Alt1Ohls3.y.2. 0.01 0.23
## AltmanX2.y.2. -0.06 0.12
## AltmanX3.y.2. -0.07 0.09
## AltmanX4.y.2. -0.07 0.41
## OhlsonX1.y.2. 10.73 12.24
## OhlsonX2.y.2. 0.33 0.88
## OhlsonX4.y.2. 0.34 0.98
## OhlsonX6.y.2. -0.05 0.08
## OhlsonX7.y.2. -0.11 0.22
## OhlsonX9.y.2. -3110992.44 11135010.59
## OhlsonX5.y.2. 0.00 0.00
## OhlsonX8.y.2. 0.00 1.00
## D_AR_by_OpIncome -0.32 2.43
## D_FB_Plus_OpInc_ByFB -0.63 0.03
## D_CurrentRatio -0.34 0.07
## D_Debt2Equity -0.36 0.26
## D_LiabFundBalRatio -0.41 0.21
## D_DaysSalesOutstanding -0.11 0.11
## D_LaborCompRatio -0.05 0.05
## D_OpProfitMargin -0.62 0.50
## D_DaysCashOnHand -0.52 0.44
## D_BedUtil -0.08 0.06
## D_AdjPxDays -0.06 0.05
## D_Alt1Ohls3 -0.38 0.53
## D_AltmanX2 -1.67 0.40
## D_AltmanX3 -0.84 0.30
## D_AltmanX4 -2.00 0.33
## D_OhlsonX1 -0.01 0.00
## D_OhlsonX2 -0.07 0.17
## D_OhlsonX4 -0.09 0.49
## D_OhlsonX6 -1.21 0.32
## D_OhlsonX7 -0.86 0.33
## D_OhlsonX9 -1.89 0.28
## NegLiab.y.1. 0.00 0.00
## NegLiab.y.2. 0.00 0.00describe(train5, IQR = TRUE, quant = c(.25, .75))## vars n mean sd median
## Bankrupt 1 5446 0.50 5.000000e-01 0.50
## Year 2 5446 2014.74 3.440000e+00 2015.00
## AR_by_OpIncome 3 5446 2.79 2.390000e+00 2.30
## FB_Plus_OpInc_ByFB 4 5446 6.34 4.773000e+01 1.07
## PercentMedicaidDays 5 5446 0.10 1.000000e-01 0.06
## PercentMedicareDays 6 5446 0.32 1.100000e-01 0.30
## CurrentRatio 7 5446 3.32 9.719000e+01 1.40
## Debt2Equity 8 5446 -14.26 1.318000e+02 0.12
## DaysSalesOutstanding 9 5446 60.94 9.916000e+01 51.71
## LaborCompRatio 10 5446 0.53 3.900000e-01 0.49
## OpProfitMargin 11 5446 -0.18 6.900000e-01 -0.09
## DaysCashOnHand 12 5446 33.26 1.007700e+02 13.07
## BedUtil 13 5446 0.42 1.900000e-01 0.39
## AdjPxDays 14 5446 6.12 7.800000e+00 3.73
## Alt1Ohls3 15 5446 -11225853.34 4.581086e+08 0.10
## AltmanX2 16 5446 -8944279.34 4.086746e+08 -0.04
## AltmanX3 17 5446 -2100369.00 9.413172e+07 -0.03
## AltmanX4 18 5446 181113755.97 3.332954e+09 -0.03
## OhlsonX1 19 5446 11.37 1.800000e+00 11.20
## OhlsonX2 20 5446 -6378524.05 5.585809e+08 0.66
## OhlsonX4 21 5446 0.80 9.160000e+00 0.64
## OhlsonX6 22 5446 -3431195.64 1.705792e+08 -0.02
## OhlsonX7 23 5446 196616235.08 1.905941e+09 -0.01
## OhlsonX9 24 5446 3994223.04 9.328534e+07 -1465466.37
## OhlsonX5 25 5446 0.17 3.700000e-01 0.00
## OhlsonX8 26 5446 0.46 5.000000e-01 0.00
## Govt 27 5446 0.08 2.700000e-01 0.00
## Urban 28 5446 0.06 2.400000e-01 0.00
## ForProfit 29 5446 0.25 4.400000e-01 0.00
## HC1 30 5446 0.03 1.800000e-01 0.00
## HC2 31 5446 0.14 3.400000e-01 0.00
## HC4 32 5446 0.13 3.400000e-01 0.00
## HC5 33 5446 0.06 2.500000e-01 0.00
## AR_by_OpIncome.y.1. 34 5446 2.69 2.410000e+00 2.00
## FB_Plus_OpInc_ByFB.y.1. 35 5446 1.35 1.241000e+01 1.04
## PercentMedicaidDays.y.1. 36 5446 0.10 1.000000e-01 0.06
## PercentMedicareDays.y.1. 37 5446 0.32 1.100000e-01 0.30
## CurrentRatio.y.1. 38 5446 0.70 2.874000e+01 1.34
## Debt2Equity.y.1. 39 5446 0.98 4.664000e+01 0.28
## DaysSalesOutstanding.y.1. 40 5446 63.24 9.023000e+01 52.45
## LaborCompRatio.y.1. 41 5446 0.48 1.400000e-01 0.47
## OpProfitMargin.y.1. 42 5446 -0.08 2.300000e-01 -0.07
## DaysCashOnHand.y.1. 43 5446 32.69 9.456000e+01 11.27
## BedUtil.y.1. 44 5446 0.44 1.900000e-01 0.42
## AdjPxDays.y.1. 45 5446 6.10 7.590000e+00 3.79
## Alt1Ohls3.y.1. 46 5446 -7829668.26 2.666361e+08 0.08
## AltmanX2.y.1. 47 5446 -3206237.94 1.913856e+08 -0.03
## AltmanX3.y.1. 48 5446 -253652.93 1.766480e+07 0.02
## AltmanX4.y.1. 49 5446 56995641.96 1.542491e+09 -0.03
## OhlsonX1.y.1. 50 5446 11.34 1.660000e+00 11.24
## OhlsonX2.y.1. 51 5446 2203232.67 7.655909e+07 0.64
## OhlsonX4.y.1. 52 5446 0.92 3.680000e+00 0.68
## OhlsonX6.y.1. 53 5446 -410338.13 1.819539e+07 -0.01
## OhlsonX7.y.1. 54 5446 208887272.51 1.278488e+09 0.04
## OhlsonX9.y.1. 55 5446 2732786.84 9.732656e+07 -779875.65
## OhlsonX5.y.1. 56 5446 0.19 3.900000e-01 0.00
## OhlsonX8.y.1. 57 5446 0.39 4.900000e-01 0.00
## HC4_5.y.1. 58 5446 0.20 4.000000e-01 0.00
## AR_by_OpIncome.y.2. 59 5446 2.80 2.450000e+00 2.28
## FB_Plus_OpInc_ByFB.y.2. 60 5446 0.06 1.026000e+01 0.96
## PercentMedicaidDays.y.2. 61 5446 0.10 1.000000e-01 0.06
## PercentMedicareDays.y.2. 62 5446 0.32 1.100000e-01 0.30
## CurrentRatio.y.2. 63 5446 2.97 6.027000e+01 1.46
## Debt2Equity.y.2. 64 5446 1.46 5.942000e+01 0.34
## DaysSalesOutstanding.y.2. 65 5446 59.02 7.045000e+01 52.77
## LaborCompRatio.y.2. 66 5446 0.50 1.900000e-01 0.47
## OpProfitMargin.y.2. 67 5446 -0.13 3.400000e-01 -0.05
## DaysCashOnHand.y.2. 68 5446 30.62 8.745000e+01 9.41
## BedUtil.y.2. 69 5446 0.42 1.900000e-01 0.40
## AdjPxDays.y.2. 70 5446 6.11 7.500000e+00 3.90
## Alt1Ohls3.y.2. 71 5446 -36454471.64 4.445196e+08 0.08
## AltmanX2.y.2. 72 5446 -26261121.56 1.018836e+09 0.01
## AltmanX3.y.2. 73 5446 -13076700.68 1.925851e+08 0.01
## AltmanX4.y.2. 74 5446 97010138.36 3.057117e+09 0.03
## OhlsonX1.y.2. 75 5446 11.20 2.160000e+00 11.27
## OhlsonX2.y.2. 76 5446 30635633.53 3.606421e+08 0.62
## OhlsonX4.y.2. 77 5446 8.62 9.252000e+01 0.67
## OhlsonX6.y.2. 78 5446 -7643256.14 3.066191e+08 0.01
## OhlsonX7.y.2. 79 5446 192015678.40 1.308031e+09 0.02
## OhlsonX9.y.2. 80 5446 7749707.06 1.250984e+08 792813.85
## OhlsonX5.y.2. 81 5446 0.18 3.800000e-01 0.00
## OhlsonX8.y.2. 82 5446 0.28 4.500000e-01 0.00
## D_AR_by_OpIncome 83 5446 2.90 1.902000e+01 0.01
## D_FB_Plus_OpInc_ByFB 84 5446 3.83 4.527000e+01 -0.05
## D_CurrentRatio 85 5446 0.14 2.580000e+00 -0.04
## D_Debt2Equity 86 5446 -4.13 5.262000e+01 0.00
## D_LiabFundBalRatio 87 5446 -5.59 5.298000e+01 -0.07
## D_DaysSalesOutstanding 88 5446 -0.66 6.262000e+01 -0.03
## D_LaborCompRatio 89 5446 0.09 4.300000e-01 0.02
## D_OpProfitMargin 90 5446 0.27 3.180000e+00 0.02
## D_DaysCashOnHand 91 5446 36.68 3.583400e+02 0.00
## D_BedUtil 92 5446 0.01 8.000000e-01 -0.02
## D_AdjPxDays 93 5446 10.81 7.947900e+02 -0.01
## D_Alt1Ohls3 94 5446 -17292481.60 1.228662e+09 -0.12
## D_AltmanX2 95 5446 18229704.57 1.033058e+09 -0.33
## D_AltmanX3 96 5446 13693815.55 6.218078e+08 -0.25
## D_AltmanX4 97 5446 -641871667.61 3.990834e+10 -0.42
## D_OhlsonX1 98 5446 0.00 1.100000e-01 0.00
## D_OhlsonX2 99 5446 -1067622.60 8.082479e+08 0.07
## D_OhlsonX4 100 5446 0.49 3.950000e+00 0.07
## D_OhlsonX6 101 5446 14266484.64 7.638004e+08 0.00
## D_OhlsonX7 102 5446 79473488.76 3.139327e+09 -0.29
## D_OhlsonX9 103 5446 498166.15 3.152300e+07 -0.30
## NegLiab.y.1. 104 5446 0.04 1.900000e-01 0.00
## NegLiab.y.2. 105 5446 0.04 2.000000e-01 0.00
## trimmed mad min max
## Bankrupt 0.50 0.74 0.000000e+00 1.000000e+00
## Year 2014.72 4.45 2.008000e+03 2.021000e+03
## AR_by_OpIncome 2.53 2.88 0.000000e+00 8.590000e+00
## FB_Plus_OpInc_ByFB 1.20 0.43 -4.289000e+01 6.986900e+02
## PercentMedicaidDays 0.08 0.04 0.000000e+00 9.800000e-01
## PercentMedicareDays 0.31 0.10 0.000000e+00 8.700000e-01
## CurrentRatio 1.49 1.14 -4.645900e+02 7.098050e+03
## Debt2Equity -0.13 1.12 -1.922500e+03 4.077900e+02
## DaysSalesOutstanding 53.88 15.83 -1.972370e+03 4.282780e+03
## LaborCompRatio 0.49 0.15 1.000000e-02 6.340000e+00
## OpProfitMargin -0.10 0.16 -1.046000e+01 8.000000e-01
## DaysCashOnHand 18.32 19.13 -7.541700e+02 3.060150e+03
## BedUtil 0.41 0.21 0.000000e+00 1.000000e+00
## AdjPxDays 4.51 3.10 0.000000e+00 1.258200e+02
## Alt1Ohls3 0.09 0.25 -2.069512e+10 1.716643e+10
## AltmanX2 -0.06 0.16 -2.401988e+10 2.003558e+09
## AltmanX3 -0.05 0.17 -6.057755e+09 1.405591e+09
## AltmanX4 807656.06 0.27 -1.500000e+11 1.520000e+11
## OhlsonX1 11.33 1.31 -1.115000e+01 1.724000e+01
## OhlsonX2 0.73 0.56 -3.619138e+10 4.035141e+09
## OhlsonX4 0.79 0.55 -6.426000e+02 8.697000e+01
## OhlsonX6 -0.04 0.15 -1.187764e+10 2.003558e+09
## OhlsonX7 1074044.25 0.29 -1.000000e+11 2.906021e+10
## OhlsonX9 432502.10 7834533.05 -1.778187e+09 2.986955e+09
## OhlsonX5 0.08 0.00 0.000000e+00 1.000000e+00
## OhlsonX8 0.45 0.00 0.000000e+00 1.000000e+00
## Govt 0.00 0.00 0.000000e+00 1.000000e+00
## Urban 0.00 0.00 0.000000e+00 1.000000e+00
## ForProfit 0.19 0.00 0.000000e+00 1.000000e+00
## HC1 0.00 0.00 0.000000e+00 1.000000e+00
## HC2 0.05 0.00 0.000000e+00 1.000000e+00
## HC4 0.04 0.00 0.000000e+00 1.000000e+00
## HC5 0.00 0.00 0.000000e+00 1.000000e+00
## AR_by_OpIncome.y.1. 2.42 2.68 0.000000e+00 8.600000e+00
## FB_Plus_OpInc_ByFB.y.1. 1.06 0.35 -2.297900e+02 6.417900e+02
## PercentMedicaidDays.y.1. 0.08 0.04 0.000000e+00 9.800000e-01
## PercentMedicareDays.y.1. 0.31 0.10 0.000000e+00 8.700000e-01
## CurrentRatio.y.1. 1.48 1.21 -7.873100e+02 1.482250e+03
## Debt2Equity.y.1. 0.37 0.74 -6.275700e+02 2.403630e+03
## DaysSalesOutstanding.y.1. 57.05 16.29 -1.647780e+03 3.816810e+03
## LaborCompRatio.y.1. 0.47 0.13 -4.900000e-01 1.970000e+00
## OpProfitMargin.y.1. -0.07 0.12 -6.890000e+00 3.420000e+00
## DaysCashOnHand.y.1. 17.98 16.68 -1.292660e+03 2.814090e+03
## BedUtil.y.1. 0.43 0.21 0.000000e+00 1.000000e+00
## AdjPxDays.y.1. 4.58 3.30 0.000000e+00 1.415600e+02
## Alt1Ohls3.y.1. 0.03 0.26 -1.295576e+10 3.015305e+08
## AltmanX2.y.1. -0.05 0.14 -1.398103e+10 2.097515e+08
## AltmanX3.y.1. 0.03 0.15 -8.067078e+08 5.250694e+08
## AltmanX4.y.1. 0.15 0.23 -1.602656e+10 2.825674e+10
## OhlsonX1.y.1. 11.31 1.38 -1.115000e+01 1.712000e+01
## OhlsonX2.y.1. 0.69 0.49 -2.483980e+07 3.917888e+09
## OhlsonX4.y.1. 0.84 0.60 -1.835000e+02 7.136000e+01
## OhlsonX6.y.1. -0.02 0.13 -9.996727e+08 2.097517e+08
## OhlsonX7.y.1. 0.26 0.27 -2.396372e+10 2.558153e+10
## OhlsonX9.y.1. 692478.05 6815197.15 -1.308272e+09 5.228494e+09
## OhlsonX5.y.1. 0.11 0.00 0.000000e+00 1.000000e+00
## OhlsonX8.y.1. 0.37 0.00 0.000000e+00 1.000000e+00
## HC4_5.y.1. 0.12 0.00 0.000000e+00 1.000000e+00
## AR_by_OpIncome.y.2. 2.55 3.03 1.000000e-02 8.600000e+00
## FB_Plus_OpInc_ByFB.y.2. 0.93 0.25 -3.264500e+02 4.451800e+02
## PercentMedicaidDays.y.2. 0.08 0.04 0.000000e+00 9.800000e-01
## PercentMedicareDays.y.2. 0.31 0.10 0.000000e+00 8.700000e-01
## CurrentRatio.y.2. 1.63 1.20 -9.944000e+01 4.418520e+03
## Debt2Equity.y.2. 0.56 0.55 -3.255210e+03 4.554200e+02
## DaysSalesOutstanding.y.2. 54.84 15.49 -1.931850e+03 2.455250e+03
## LaborCompRatio.y.2. 0.48 0.15 -1.990000e+00 4.580000e+00
## OpProfitMargin.y.2. -0.08 0.13 -9.570000e+00 8.190000e+00
## DaysCashOnHand.y.2. 17.55 14.75 -1.576700e+03 2.385800e+03
## BedUtil.y.2. 0.42 0.22 0.000000e+00 1.000000e+00
## AdjPxDays.y.2. 4.63 3.42 0.000000e+00 1.372600e+02
## Alt1Ohls3.y.2. 0.02 0.24 -1.303108e+10 1.546664e+09
## AltmanX2.y.2. 0.01 0.10 -5.695970e+10 1.100960e+09
## AltmanX3.y.2. -0.07 0.14 -3.464660e+09 4.765823e+09
## AltmanX4.y.2. 0.12 0.17 -1.540000e+11 1.140000e+11
## OhlsonX1.y.2. 11.30 1.39 -1.115000e+01 1.700000e+01
## OhlsonX2.y.2. 0.64 0.43 -6.485320e+07 6.737484e+09
## OhlsonX4.y.2. 0.83 0.56 -9.859000e+01 1.675990e+03
## OhlsonX6.y.2. -0.05 0.12 -2.700965e+09 1.998557e+10
## OhlsonX7.y.2. 0.04 0.27 -2.319753e+10 3.100398e+10
## OhlsonX9.y.2. 2894356.63 7298010.68 -1.539479e+09 5.228494e+09
## OhlsonX5.y.2. 0.10 0.00 0.000000e+00 1.000000e+00
## OhlsonX8.y.2. 0.23 0.00 0.000000e+00 1.000000e+00
## D_AR_by_OpIncome 0.85 0.81 -1.000000e+00 1.245000e+03
## D_FB_Plus_OpInc_ByFB -0.18 0.31 -9.690000e+02 6.228300e+02
## D_CurrentRatio 0.09 0.40 -1.220000e+02 2.300000e+01
## D_Debt2Equity 0.11 0.66 -7.519800e+02 3.553800e+02
## D_LiabFundBalRatio -0.12 0.42 -7.742200e+02 1.197100e+02
## D_DaysSalesOutstanding -0.02 0.20 -4.557000e+03 5.583800e+02
## D_LaborCompRatio 0.04 0.09 -5.670000e+00 1.500000e+01
## D_OpProfitMargin 0.22 0.95 -1.010000e+02 7.800000e+01
## D_DaysCashOnHand 0.28 0.75 -1.522800e+04 1.694500e+04
## D_BedUtil -0.03 0.11 -1.000000e+00 5.300000e+01
## D_AdjPxDays -0.01 0.10 -9.500000e-01 5.865316e+04
## D_Alt1Ohls3 -0.21 0.66 -8.997879e+10 3.052270e+09
## D_AltmanX2 -0.39 1.24 -1.708382e+08 7.506213e+10
## D_AltmanX3 -0.50 0.96 -1.539000e+03 3.406117e+10
## D_AltmanX4 -0.57 1.26 -2.750000e+12 4.500000e+11
## D_OhlsonX1 0.00 0.01 -2.310000e+00 1.310000e+00
## D_OhlsonX2 0.08 0.19 -5.097377e+10 2.615652e+10
## D_OhlsonX4 0.09 0.42 -1.045000e+02 1.050000e+02
## D_OhlsonX6 0.04 1.18 -8.772930e+03 5.543998e+10
## D_OhlsonX7 -0.48 0.99 -5.342444e+10 1.700000e+11
## D_OhlsonX9 -0.38 1.42 -3.247753e+08 2.107294e+09
## NegLiab.y.1. 0.00 0.00 0.000000e+00 1.000000e+00
## NegLiab.y.2. 0.00 0.00 0.000000e+00 1.000000e+00
## range skew kurtosis se IQR
## Bankrupt 1.000000e+00 0.00 -2.00 0.01 1.00
## Year 1.300000e+01 -0.01 -0.90 0.05 5.00
## AR_by_OpIncome 8.590000e+00 0.67 -0.61 0.03 3.84
## FB_Plus_OpInc_ByFB 7.415800e+02 10.69 121.41 0.65 0.70
## PercentMedicaidDays 9.800000e-01 2.10 6.03 0.00 0.09
## PercentMedicareDays 8.700000e-01 0.63 1.13 0.00 0.13
## CurrentRatio 7.562640e+03 71.50 5211.99 1.32 1.57
## Debt2Equity 2.330290e+03 -10.61 120.46 1.79 1.59
## DaysSalesOutstanding 6.255150e+03 17.96 796.91 1.34 22.51
## LaborCompRatio 6.330000e+00 10.24 128.36 0.01 0.20
## OpProfitMargin 1.126000e+01 -10.41 129.09 0.01 0.21
## DaysCashOnHand 3.814320e+03 12.26 250.90 1.37 32.46
## BedUtil 1.000000e+00 0.40 -0.71 0.00 0.30
## AdjPxDays 1.258200e+02 4.04 27.07 0.11 4.86
## Alt1Ohls3 3.786155e+10 -13.90 1255.02 6207683.98 0.34
## AltmanX2 2.602344e+10 -51.91 2810.70 5537820.26 0.22
## AltmanX3 7.463346e+09 -51.56 3212.60 1275549.08 0.24
## AltmanX4 3.020000e+11 1.99 1568.64 45163799.26 0.39
## OhlsonX1 2.839000e+01 -5.12 66.01 0.02 1.82
## OhlsonX2 4.022652e+10 -56.33 3447.88 7569153.28 0.78
## OhlsonX4 7.295700e+02 -63.34 4462.05 0.12 0.90
## OhlsonX6 1.388120e+10 -62.47 4321.66 2311464.42 0.19
## OhlsonX7 1.290602e+11 -23.85 1434.18 25826802.74 0.47
## OhlsonX9 4.765142e+09 3.98 310.52 1264080.03 11764002.31
## OhlsonX5 1.000000e+00 1.78 1.18 0.01 0.00
## OhlsonX8 1.000000e+00 0.17 -1.97 0.01 1.00
## Govt 1.000000e+00 3.15 7.89 0.00 0.00
## Urban 1.000000e+00 3.75 12.08 0.00 0.00
## ForProfit 1.000000e+00 1.13 -0.73 0.01 1.00
## HC1 1.000000e+00 5.17 24.78 0.00 0.00
## HC2 1.000000e+00 2.12 2.48 0.00 0.00
## HC4 1.000000e+00 2.21 2.90 0.00 0.00
## HC5 1.000000e+00 3.53 10.49 0.00 0.00
## AR_by_OpIncome.y.1. 8.600000e+00 0.68 -0.69 0.03 4.08
## FB_Plus_OpInc_ByFB.y.1. 8.715800e+02 32.49 1644.93 0.17 0.48
## PercentMedicaidDays.y.1. 9.800000e-01 2.10 6.03 0.00 0.09
## PercentMedicareDays.y.1. 8.700000e-01 0.63 1.13 0.00 0.13
## CurrentRatio.y.1. 2.269560e+03 22.56 1436.15 0.39 1.75
## Debt2Equity.y.1. 3.031200e+03 43.19 2192.42 0.63 0.99
## DaysSalesOutstanding.y.1. 5.464590e+03 18.06 766.04 1.22 25.58
## LaborCompRatio.y.1. 2.460000e+00 1.07 5.91 0.00 0.18
## OpProfitMargin.y.1. 1.031000e+01 -6.17 171.07 0.00 0.17
## DaysCashOnHand.y.1. 4.106750e+03 9.95 214.44 1.28 34.48
## BedUtil.y.1. 1.000000e+00 0.27 -0.67 0.00 0.29
## AdjPxDays.y.1. 1.415600e+02 4.28 34.74 0.10 5.06
## Alt1Ohls3.y.1. 1.325729e+10 -39.04 1629.75 3613101.68 0.39
## AltmanX2.y.1. 1.419078e+10 -71.67 5222.60 2593405.09 0.20
## AltmanX3.y.1. 1.331777e+09 -15.85 1183.71 239370.10 0.21
## AltmanX4.y.1. 4.428330e+10 1.41 92.32 20901806.01 0.34
## OhlsonX1.y.1. 2.827000e+01 -3.82 54.21 0.02 1.88
## OhlsonX2.y.1. 3.942728e+09 42.16 1908.75 1037427.99 0.68
## OhlsonX4.y.1. 2.548600e+02 -23.52 1250.68 0.05 0.98
## OhlsonX6.y.1. 1.209424e+09 -39.29 1900.90 246559.94 0.18
## OhlsonX7.y.1. 4.954525e+10 7.63 135.19 17324379.28 0.38
## OhlsonX9.y.1. 6.536766e+09 28.90 1564.20 1318841.32 10039133.25
## OhlsonX5.y.1. 1.000000e+00 1.58 0.48 0.01 0.00
## OhlsonX8.y.1. 1.000000e+00 0.44 -1.81 0.01 1.00
## HC4_5.y.1. 1.000000e+00 1.52 0.32 0.01 0.00
## AR_by_OpIncome.y.2. 8.600000e+00 0.63 -0.74 0.03 4.04
## FB_Plus_OpInc_ByFB.y.2. 7.716300e+02 6.17 873.39 0.14 0.35
## PercentMedicaidDays.y.2. 9.800000e-01 2.10 6.03 0.00 0.09
## PercentMedicareDays.y.2. 8.700000e-01 0.63 1.13 0.00 0.13
## CurrentRatio.y.2. 4.517960e+03 72.26 5288.85 0.82 1.76
## Debt2Equity.y.2. 3.710630e+03 -46.93 2417.49 0.81 1.00
## DaysSalesOutstanding.y.2. 4.387100e+03 8.11 551.63 0.95 22.40
## LaborCompRatio.y.2. 6.570000e+00 2.30 48.85 0.00 0.21
## OpProfitMargin.y.2. 1.776000e+01 -2.45 171.37 0.00 0.19
## DaysCashOnHand.y.2. 3.962500e+03 8.04 184.15 1.19 35.03
## BedUtil.y.2. 1.000000e+00 0.32 -0.75 0.00 0.30
## AdjPxDays.y.2. 1.372600e+02 4.18 33.28 0.10 5.26
## Alt1Ohls3.y.2. 1.457774e+10 -15.45 293.81 6023544.08 0.37
## AltmanX2.y.2. 5.806066e+10 -51.95 2736.24 13805921.56 0.13
## AltmanX3.y.2. 8.230483e+09 -8.59 230.68 2609659.90 0.23
## AltmanX4.y.2. 2.680000e+11 -15.64 1584.90 41426021.25 0.26
## OhlsonX1.y.2. 2.815000e+01 -4.96 45.70 0.03 1.88
## OhlsonX2.y.2. 6.802337e+09 13.47 193.65 4886946.41 0.58
## OhlsonX4.y.2. 1.774580e+03 13.15 184.65 1.25 0.94
## OhlsonX6.y.2. 2.268653e+10 49.50 3326.36 4154897.79 0.18
## OhlsonX7.y.2. 5.420151e+10 8.91 169.05 17724715.56 0.36
## OhlsonX9.y.2. 6.767973e+09 29.93 1194.04 1695169.01 10992258.55
## OhlsonX5.y.2. 1.000000e+00 1.69 0.86 0.01 0.00
## OhlsonX8.y.2. 1.000000e+00 0.95 -1.09 0.01 1.00
## D_AR_by_OpIncome 1.246000e+03 52.05 3343.57 0.26 1.80
## D_FB_Plus_OpInc_ByFB 1.591830e+03 7.29 135.95 0.61 0.48
## D_CurrentRatio 1.450000e+02 -27.15 1104.00 0.04 0.64
## D_Debt2Equity 1.107350e+03 -9.95 112.06 0.71 0.89
## D_LiabFundBalRatio 8.939400e+02 -10.68 121.46 0.72 0.59
## D_DaysSalesOutstanding 5.115380e+03 -70.70 5145.16 0.85 0.26
## D_LaborCompRatio 2.067000e+01 12.53 322.97 0.01 0.13
## D_OpProfitMargin 1.790000e+02 -5.80 319.64 0.04 1.44
## D_DaysCashOnHand 3.217300e+04 6.26 1520.26 4.86 1.05
## D_BedUtil 5.400000e+01 54.17 3560.74 0.01 0.15
## D_AdjPxDays 5.865410e+04 73.76 5438.99 10.77 0.14
## D_Alt1Ohls3 9.303106e+10 -72.16 5275.06 16649215.32 0.92
## D_AltmanX2 7.523297e+10 70.70 5113.60 13998643.45 1.71
## D_AltmanX3 3.406117e+10 51.42 2680.11 8425920.86 1.46
## D_AltmanX4 3.200000e+12 -62.16 4192.02 540785265.26 1.73
## D_OhlsonX1 3.620000e+00 -16.04 310.83 0.00 0.02
## D_OhlsonX2 7.713030e+10 -38.36 3132.61 10952310.91 0.25
## D_OhlsonX4 2.095000e+02 3.43 238.50 0.05 0.56
## D_OhlsonX6 5.543999e+10 70.44 5091.15 10350016.58 1.60
## D_OhlsonX7 2.234244e+11 42.94 2187.60 42540024.32 1.47
## D_OhlsonX9 2.432069e+09 59.33 3801.75 427158.12 1.92
## NegLiab.y.1. 1.000000e+00 4.79 20.96 0.00 0.00
## NegLiab.y.2. 1.000000e+00 4.69 20.01 0.00 0.00
## Q0.25 Q0.75
## Bankrupt 0.00 1.00
## Year 2012.00 2017.00
## AR_by_OpIncome 0.64 4.48
## FB_Plus_OpInc_ByFB 0.87 1.57
## PercentMedicaidDays 0.04 0.13
## PercentMedicareDays 0.25 0.38
## CurrentRatio 0.69 2.26
## Debt2Equity -0.99 0.60
## DaysSalesOutstanding 42.51 65.01
## LaborCompRatio 0.39 0.59
## OpProfitMargin -0.20 0.01
## DaysCashOnHand 1.29 33.75
## BedUtil 0.26 0.56
## AdjPxDays 1.93 6.79
## Alt1Ohls3 -0.08 0.26
## AltmanX2 -0.17 0.05
## AltmanX3 -0.16 0.08
## AltmanX4 -0.18 0.21
## OhlsonX1 10.42 12.24
## OhlsonX2 0.34 1.12
## OhlsonX4 0.36 1.26
## OhlsonX6 -0.13 0.06
## OhlsonX7 -0.17 0.30
## OhlsonX9 -5891622.94 5872379.37
## OhlsonX5 0.00 0.00
## OhlsonX8 0.00 1.00
## Govt 0.00 0.00
## Urban 0.00 0.00
## ForProfit 0.00 1.00
## HC1 0.00 0.00
## HC2 0.00 0.00
## HC4 0.00 0.00
## HC5 0.00 0.00
## AR_by_OpIncome.y.1. 0.42 4.50
## FB_Plus_OpInc_ByFB.y.1. 0.82 1.30
## PercentMedicaidDays.y.1. 0.04 0.13
## PercentMedicareDays.y.1. 0.25 0.38
## CurrentRatio.y.1. 0.63 2.38
## Debt2Equity.y.1. -0.10 0.89
## DaysSalesOutstanding.y.1. 43.61 69.18
## LaborCompRatio.y.1. 0.38 0.56
## OpProfitMargin.y.1. -0.15 0.02
## DaysCashOnHand.y.1. 1.14 35.62
## BedUtil.y.1. 0.29 0.58
## AdjPxDays.y.1. 1.91 6.97
## Alt1Ohls3.y.1. -0.17 0.22
## AltmanX2.y.1. -0.14 0.06
## AltmanX3.y.1. -0.08 0.13
## AltmanX4.y.1. -0.17 0.17
## OhlsonX1.y.1. 10.36 12.23
## OhlsonX2.y.1. 0.35 1.03
## OhlsonX4.y.1. 0.36 1.34
## OhlsonX6.y.1. -0.11 0.07
## OhlsonX7.y.1. -0.11 0.27
## OhlsonX9.y.1. -4631504.25 5407629.00
## OhlsonX5.y.1. 0.00 0.00
## OhlsonX8.y.1. 0.00 1.00
## HC4_5.y.1. 0.00 0.00
## AR_by_OpIncome.y.2. 0.48 4.52
## FB_Plus_OpInc_ByFB.y.2. 0.75 1.10
## PercentMedicaidDays.y.2. 0.04 0.13
## PercentMedicareDays.y.2. 0.25 0.38
## CurrentRatio.y.2. 0.77 2.53
## Debt2Equity.y.2. 0.05 1.05
## DaysSalesOutstanding.y.2. 44.00 66.40
## LaborCompRatio.y.2. 0.38 0.59
## OpProfitMargin.y.2. -0.17 0.02
## DaysCashOnHand.y.2. 0.35 35.38
## BedUtil.y.2. 0.27 0.57
## AdjPxDays.y.2. 1.86 7.12
## Alt1Ohls3.y.2. -0.16 0.21
## AltmanX2.y.2. -0.05 0.08
## AltmanX3.y.2. -0.15 0.08
## AltmanX4.y.2. -0.05 0.21
## OhlsonX1.y.2. 10.34 12.22
## OhlsonX2.y.2. 0.35 0.93
## OhlsonX4.y.2. 0.37 1.31
## OhlsonX6.y.2. -0.11 0.07
## OhlsonX7.y.2. -0.16 0.20
## OhlsonX9.y.2. -2307225.30 8685033.25
## OhlsonX5.y.2. 0.00 0.00
## OhlsonX8.y.2. 0.00 1.00
## D_AR_by_OpIncome -0.35 1.45
## D_FB_Plus_OpInc_ByFB -0.42 0.06
## D_CurrentRatio -0.26 0.38
## D_Debt2Equity -0.39 0.50
## D_LiabFundBalRatio -0.41 0.18
## D_DaysSalesOutstanding -0.16 0.10
## D_LaborCompRatio -0.03 0.09
## D_OpProfitMargin -0.48 0.96
## D_DaysCashOnHand -0.39 0.66
## D_BedUtil -0.11 0.05
## D_AdjPxDays -0.07 0.06
## D_Alt1Ohls3 -0.71 0.21
## D_AltmanX2 -1.25 0.46
## D_AltmanX3 -1.24 0.22
## D_AltmanX4 -1.40 0.33
## D_OhlsonX1 -0.01 0.01
## D_OhlsonX2 -0.05 0.20
## D_OhlsonX4 -0.19 0.37
## D_OhlsonX6 -0.79 0.81
## D_OhlsonX7 -1.21 0.26
## D_OhlsonX9 -1.32 0.60
## NegLiab.y.1. 0.00 0.00
## NegLiab.y.2. 0.00 0.00Interim Write
#Write the data for interim use.
write.csv(train1, 'train1.csv', row.names = FALSE)
write.csv(test1,'test1.csv', row.names=FALSE)
write.csv(train2, 'train2.csv', row.names = FALSE)
write.csv(test2,'test2.csv', row.names=FALSE)
write.csv(train3, 'train3.csv', row.names = FALSE)
write.csv(test3,'test3.csv', row.names=FALSE)
write.csv(train4, 'train4.csv', row.names = FALSE)
write.csv(test4,'test4.csv', row.names=FALSE)
write.csv(train5, 'train5.csv', row.names = FALSE)
write.csv(test5,'test5.csv', row.names=FALSE)Interim Read
#Read the data for interim use.
train1=read.csv('train1.csv')
test1=read.csv('test1.csv')
train2=read.csv('train2.csv')
test2=read.csv('test2.csv')
train3=read.csv('train3.csv')
test3=read.csv('test3.csv')
train4=read.csv('train4.csv')
test4=read.csv('test4.csv')
train5=read.csv('train5.csv')
test5=read.csv('test5.csv')
#Convert the Ohlson O1 variable to the proper measure.
train1$OhlsonX1.y.1.[train1$OhlsonX1.y.1.<0]=.1
train1$OhlsonX1.y.1.=log(train1$OhlsonX1.y.1.)
train2$OhlsonX1.y.1.[train2$OhlsonX1.y.1.<0]=.1
train2$OhlsonX1.y.1.=log(train2$OhlsonX1.y.1.)
train3$OhlsonX1.y.1.[train3$OhlsonX1.y.1.<0]=.1
train3$OhlsonX1.y.1.=log(train3$OhlsonX1.y.1.)
train4$OhlsonX1.y.1.[train4$OhlsonX1.y.1.<0]=.1
train4$OhlsonX1.y.1.=log(train4$OhlsonX1.y.1.)
train5$OhlsonX1.y.1.[train5$OhlsonX1.y.1.<0]=.1
train5$OhlsonX1.y.1.=log(train5$OhlsonX1.y.1.)
test1$OhlsonX1.y.1.[test1$OhlsonX1.y.1.<0]=.1
test1$OhlsonX1.y.1.=log(test1$OhlsonX1.y.1.)
test2$OhlsonX1.y.1.[test2$OhlsonX1.y.1.<0]=.1
test2$OhlsonX1.y.1.=log(test2$OhlsonX1.y.1.)
test3$OhlsonX1.y.1.[test3$OhlsonX1.y.1.<0]=.1
test3$OhlsonX1.y.1.=log(test3$OhlsonX1.y.1.)
test4$OhlsonX1.y.1.[test4$OhlsonX1.y.1.<0]=.1
test4$OhlsonX1.y.1.=log(test4$OhlsonX1.y.1.)
test5$OhlsonX1.y.1.[test5$OhlsonX1.y.1.<0]=.1
test5$OhlsonX1.y.1.=log(test5$OhlsonX1.y.1.)Analytical Functions
Nagelkerke
# Function to calculate Nagelkerke's R-squared for a given model
myr2=function(mod) {
NagelkerkeR2(mod)$R2
}Confusion Matrix
For use when functions support it
# Function to create a confusion matrix for a given model and dataset
mycm <- function(mod, dat) {
# Predict probabilities using the model on the given dataset
mypred <- round(predict(mod, dat, type = 'response'), 3)
# Convert probabilities to binary predictions using a threshold of 0.5
mypred_binary <- ifelse(mypred < 0.5, 0, 1)
# Create the confusion matrix
cm <- confusionMatrix(as.factor(mypred_binary), as.factor(dat$Bankrupt), positive = '1', mode = "prec_recall")
# Calculate AUC
roc_obj <- roc(as.numeric(dat$Bankrupt), as.numeric(mypred))
auc_value <- auc(roc_obj)
# Calculate PR-AUC
pr_obj <- pr.curve(scores.class0 = mypred, weights.class0 = as.numeric(dat$Bankrupt) == 1, curve = FALSE)
pr_auc_value <- pr_obj$auc.integral
#Misclass Rate
misclass= 1-sum(diag(cm$table))/sum(cm$table)
cm$byClass=round(c(cm$byClass,AUC = auc_value, PR_AUC = pr_auc_value, MISS=misclass),3)
return(cm)
}Plot Confusion Matrix
# Function to convert confusion matrix to data frame for ggplot
confusion_matrix_to_df <- function(conf_matrix) {
df <- as.data.frame(as.table(conf_matrix$table))
total <- sum(df$Freq)
df$Percentage <- round((df$Freq / total) * 100, 2)
df$Label <- paste0(df$Percentage, "%") # For geom_text
df$Correct <- ifelse(df$Reference == df$Prediction, "Correct", "Incorrect")
df$Majority <- ifelse(df$Percentage >= 50, "Majority", "Minority")
df$Shade <- interaction(df$Correct, df$Majority)
df$Reference <- factor(df$Reference, levels = rev(levels(df$Reference)))
return(df)
}
shade_colors <- c(
"Correct.Majority" = "#1b9e77", # Teal-green
"Correct.Minority" = "#a6d854", # Lime-green
"Incorrect.Majority" = "#d95f02", # Orange
"Incorrect.Minority" = "#7570b3" # Purple
)
plot_confusion_matrix <- function(df, title) {
ggplot(df, aes(x = Prediction, y = Reference, fill = Shade)) +
geom_tile() +
geom_text(aes(label = Label), color = "white", size = 3) + # <- use Label here
scale_fill_manual(values = shade_colors) +
labs(title = title, x = "Predicted", y = "Actual") +
theme_minimal() +
theme(axis.text.x = element_text(angle = 45, hjust = 1),
legend.position = "none")
}Linearity Checks
# Function to check linearity of the logit for a given model and dataset
mylinearity <- function(mod, dat) {
# Predict probabilities using the model on the given dataset
mypred <- round(predict(mod, dat, type = 'response'), 3)
# Avoid log(0) by adding a small epsilon to the predictions
epsilon <- 1e-15
mypred <- pmin(pmax(mypred, epsilon), 1 - epsilon)
# Calculate logits (log-odds)
logits <- log(mypred / (1 - mypred))
# Select only numeric columns from the dataset for plotting
forplot <- select_if(dat, is.numeric)
# Loop through each numeric column and plot it against the logits
for (i in 1:ncol(forplot)) {
print(plot(forplot[, i] ~ logits, ylab = colnames(forplot)[i], col = 'blue'))
}
}Outlier checks
# Function to identify potential outliers in the model using leverage plot
myoutliers <- function(mod) {
print(plot(mod, which = 4, id.n = 5))
}GLM Fit
myGLMfit=function(train, test) {
suppressWarnings({initial_model=glm(as.factor(Bankrupt)~.,data=train, family='binomial',control = glm.control(maxit = 10000))
# Identify outliers with Cook's distance > 1
cooks_d =cooks.distance(initial_model)
outliers=which(cooks_d > 1)
# Remove outliers from training data
if (length(outliers) > 0) {
outliers_to_remove <- outliers[train$Bankrupt[outliers] == 0]
if (length(outliers_to_remove) > 0) {
train <- train[-outliers_to_remove, ]
}
}
# Refit the model without outliers
final_model <- glm(as.factor(Bankrupt) ~ ., data = train, family = 'binomial', control = glm.control(maxit = 10000))
cm =mycm(final_model, test)
capture.output(mylinearity(final_model, train))
capture.output(myoutliers(final_model))
mypred=predict(final_model, test, type = "response")
mycoefs=coefficients(final_model)
# Plot PR curve if needed
pr2 <- pr.curve(scores.class0 = mypred, weights.class0 = test$Bankrupt, curve = TRUE,
max.compute = TRUE, min.compute = TRUE, rand.compute = TRUE)
plot(pr2, max.plot = TRUE, min.plot = TRUE, rand.plot = TRUE, fill.area = TRUE, color = 'black', auc.main = TRUE)
# Assume model is the already fitted GLM
original_coefs <- coef(final_model)
# Extract min and max of original predictors
mins <- sapply(train[-1], min) # Assuming first column is the response
maxs <- sapply(train[-1], max)
# Adjust the coefficients
adjusted_coefs <- original_coefs[-1] * (maxs - mins)
# Adjust the intercept
adjusted_intercept <- original_coefs[1] - sum(original_coefs[-1] * mins / (maxs - mins))
# Combine the adjusted intercept and coefficients
adjusted_coefs <- c(adjusted_intercept, adjusted_coefs)
return(list(confusion_matrix = cm, mod=final_model, coefficients=mycoefs, outliers=outliers, predictions=mypred, minmaxcoef=adjusted_coefs))
})
}GLM Summary
glm_summary <- function(glm_model) {
# Extract coefficients
temp=summary(glm_model)
temp=as.data.frame(temp$coefficients)
temp=round(temp,3)
# Calculate log odds and odds ratios
temp$Odds=round(exp(temp$Estimate),3)
# Calculate VIF values with error handling
temp$vif =c('NA', round(vif(glm_model),3))
return(temp)
}Perceptron (M4b)
myPerceptronFit <- function(train, test) {
# Convert response variable to numeric (0/1) and don't normalize it
train$Bankrupt <- as.numeric(as.factor(train$Bankrupt)) - 1 # Subtract 1 to ensure 0/1
test$Bankrupt <- as.numeric(as.factor(test$Bankrupt)) - 1 # Subtract 1 to ensure 0/1
# Normalize only the predictor variables using min-max scaling
normalize <- function(x) {
return((x - min(x)) / (max(x) - min(x) + 0.0001))
}
# Normalize all columns except the response variable
train_norm <- cbind(Bankrupt = train$Bankrupt, as.data.frame(lapply(train[-1], normalize)))
test_norm <- cbind(Bankrupt = test$Bankrupt, as.data.frame(lapply(test[-1], normalize)))
# Create a formula for the neural network
features <- names(train)[-1] # All columns except the first (target variable)
formula <- as.formula(paste("Bankrupt ~", paste(features, collapse = " + ")))
# Define the exclude matrix correctly
exclude <- matrix(c(
2, 1, 1, # From hidden neuron 1 (Layer 2) to output neuron 1 (Layer 3)
2, 2, 1 # From bias (Layer 2) to output neuron 1 (Layer 3)
), ncol = 3, byrow = TRUE)
# Set constant weights for the excluded connections
constant_weights <- c(0.00001, 1.0)
# We steal the starting weights as the average of the converged estimates previously done.
#This speeds up processing for a non-GPU function.
sw=c(9.29, -0.35, 0.87, -0.46, -0.33, -1.02, -19.45,
20.26,-0.91, -0.39, 1.65, -0.58, 0.11, 1, 0 )
# Train the neural network using neuralnet with tanh activation and SSE loss
nn_model <- neuralnet(
formula,
data = train_norm,
stepmax = 1e7,
startweights=sw,
hidden = 1,
threshold = 0.01,
rep = 1, #initially set higher but reduced since sw provide vicinity of optimum
err.fct = 'sse', # Use Sum of Squared Errors as the loss function
act.fct = 'tanh', # Use Tanh as the activation function
constant.weights = constant_weights,
exclude = exclude, # Exclude the bias to the output
linear.output = FALSE,
likelihood = FALSE, # Set to FALSE as we're using SSE loss
lifesign='minimal',
lifesign.step=1000
)
# Generate predictions
raw_predictions <- compute(nn_model, test_norm[, -1])$net.result
predictions <- ifelse(raw_predictions > 0, 1, 0) # Adjust threshold for tanh
# Ensure predictions and actual values are factors with the same levels
predictions <- factor(predictions, levels = c(0, 1))
test_norm$Bankrupt <- factor(test_norm$Bankrupt, levels = c(0, 1))
# Confusion matrix
cm <- caret::confusionMatrix(predictions, test_norm$Bankrupt, positive = '1', mode = "prec_recall")
# Calculate AUC and PR AUC
auc <- pROC::roc(test_norm$Bankrupt, as.numeric(raw_predictions))$auc
# PR AUC calculation using only the positive class
fg <- raw_predictions[test_norm$Bankrupt == 1] # Scores for the positive class
bg <- raw_predictions[test_norm$Bankrupt == 0] # Scores for the negative class
aucpr <- PRROC::pr.curve(scores.class0 = fg, scores.class1 = bg)$auc.integral
#Miss rate
MISS=1-sum(diag(cm$table))/sum(cm$table)
# Add AUC, PR AUC, and F1 score to the confusion matrix results
cm$byClass <- c(cm$byClass, AUC = auc, PR_AUC = aucpr, MISS=MISS)
# Extract weights and bias for the first hidden layer
weights_list <- nn_model$weights[[1]] # Extracting weights
input_to_hidden_weights <- weights_list[[1]][-1] # Weights from input to hidden layer
bias_hidden <- weights_list[[1]][1] # Bias weight for the hidden layer
hidden_to_output_weight <- weights_list[[2]][-1] # Weight from hidden layer to output
bias_output <- weights_list[[2]][1] # Bias weight for the output layer
# Combine all weights into a single dataframe
weight_df <- data.frame(
variable = c("Bias_Hidden", features, "Hidden_to_Output", "Bias_Output"),
weight = c(bias_hidden, input_to_hidden_weights, hidden_to_output_weight, bias_output)
)
# Return results
return(list(confusion_matrix = cm, model = nn_model, predictions = predictions, coefficients = weight_df))
}SVM Function (M4c)
mySVMFit=function(train, test) {
myminmax=function(x) {(x - min(x)) / (max(x) - min(x))}
# Apply normalization only to numeric columns
mynames=colnames(train)
train=as.data.frame(apply(train,2, myminmax))
test=as.data.frame(apply(test, 2, myminmax))
colnames(train)=mynames
colnames(test)=mynames
# Fit the SVM model using kernlab with probability enabled
set.seed(42)
svm_model=ksvm(Bankrupt ~ ., data = train, scaled=FALSE,kernel = "vanilladot", type="C-svc", prob.model = TRUE)
# Extract SVM weights
weights=colSums(svm_model@xmatrix[[1]] * svm_model@coef[[1]])
# Generate predictions with probabilities
predictions <- predict(svm_model, test, type = "probabilities")
predictions=round(predictions[,2],1)
predicted_classes <- factor(predictions, levels = c('0','1'))
y=factor(test$Bankrupt, levels = c('0','1'))
# Confusion matrix
cm <- confusionMatrix(predicted_classes, y, positive='1', mode = "prec_recall")
# Calculate ROC AUC
roc_curve <- roc.curve(test$Bankrupt, predictions, max.compute=TRUE)
# Calculate PR AUC
pr_curve <- pr.curve(scores.class0 = predictions, weights.class0 = as.numeric(test$Bankrupt) == 1)
#Miss rate
MISS=1-sum(diag(cm$table))/sum(cm$table)
# Add AUC, PR_AUC, and F1 score to the confusion matrix results
cm$byClass <- c(cm$byClass,AUC=roc_curve$auc, PR_AUC=pr_curve$auc.integral, MISS=MISS)
# Return results
return(list(model = svm_model,confusion_matrix=cm, probs=predictions, predicted=predicted_classes, roc=roc_curve, pr=pr_curve, coefficients=weights))
}Unique Variable Tree Model (M4d)
# Function to find the best split based on Gini impurity
best_split_gini <- function(data, response_var, used_vars) {
best_var <- NULL
best_gini <- Inf
best_split <- NULL
response <- data[[response_var]]
predictors <- setdiff(names(data), c(response_var, used_vars))
for (var in predictors) {
unique_values <- unique(data[[var]])
for (val in unique_values) {
left_split <- response[data[[var]] <= val]
right_split <- response[data[[var]] > val]
if (length(left_split) == 0 | length(right_split) == 0) {
next
}
gini_left <- 1 - sum((table(left_split) / length(left_split))^2)
gini_right <- 1 - sum((table(right_split) / length(right_split))^2)
weighted_gini <- (length(left_split) / length(response)) * gini_left +
(length(right_split) / length(response)) * gini_right
if (!is.na(weighted_gini) & weighted_gini < best_gini) {
best_gini <- weighted_gini
best_var <- var
best_split <- val
}
}
}
list(variable = best_var, split = best_split)
}
# Custom function to fit a decision tree model using unique variables for each split up to depth 5
fit_decision_tree <- function(train_set, test_set, response_var = "Bankrupt", max_depth = 10) {
used_vars <- c()
splits <- list()
# Find the best splits for each level of the tree up to max_depth
for (i in 1:max_depth) {
split <- best_split_gini(train_set, response_var, used_vars)
if (!is.null(split$variable)) {
used_vars <- c(used_vars, split$variable)
splits[[i]] <- split
train_set[[split$variable]] <- ifelse(train_set[[split$variable]] <= split$split, 1, 0)
test_set[[split$variable]] <- ifelse(test_set[[split$variable]] <= split$split, 1, 0)
}
}
# Ensure all split columns are numeric
for (i in 1:length(splits)) {
train_set[[splits[[i]]$variable]] <- as.numeric(train_set[[splits[[i]]$variable]])
test_set[[splits[[i]]$variable]] <- as.numeric(test_set[[splits[[i]]$variable]])
}
# Create the formula for the decision tree
if (length(splits) > 0) {
split_vars <- sapply(splits, function(x) x$variable)
tree_formula <- as.formula(paste(response_var, "~", paste(split_vars, collapse = "+")))
} else {
stop("No valid splits found.")
}
# Build the decision tree using the unique split variables on the training set
tree_model <- rpart(tree_formula, data = train_set, method = "class", control = rpart.control(maxdepth = max_depth, x=TRUE, y=TRUE))
# Plot the decision tree with labeled variables
rpart.plot(tree_model, main = "Decision Tree using Unique Splits", type = 4, extra = 106)
# Generate predictions with probabilities
prediction_probs <- predict(tree_model, test_set, type = "prob")[,2]
predictions <- ifelse(prediction_probs > 0.5, 1, 0)
# Create a confusion matrix
conf_matrix <- caret::confusionMatrix(as.factor(predictions),
as.factor(test_set[[response_var]]), positive = "1",
mode = "prec_recall")
# Calculate ROC AUC
roc_curve <- roc(test_set[[response_var]], prediction_probs)
auc_value <- auc(roc_curve)
#Miss rate
MISS=1-sum(diag(conf_matrix$table))/sum(conf_matrix$table)
# Calculate PR AUC
pr_curve <- pr.curve(scores.class0 = prediction_probs, weights.class0 = as.numeric(test_set[[response_var]]) == 1)
pr_auc_value <- pr_curve$auc.integral
# Add AUC, PR_AUC, and F1 score to the confusion matrix results
conf_matrix$byClass <- c(conf_matrix$byClass, AUC = auc_value, PR_AUC = pr_auc_value, MISS=MISS)
# Print the tree structure
print(tree_model)
# Return results
return(list(confusion_matrix = conf_matrix, model = tree_model, predictions = predictions, splits = splits))
}Metrics
mymetrics=function(m1,m2,m3,m4,m5){
mat=rbind(m1$byClass, m2$byClass,m3$byClass,m4$byClass,m5$byClass)
colnames(mat)=names(m1$byClass)
rownames(mat)=c('50%', '60%', '70%', '80%','90%')
return(mat)
}Coefficients
mycoefs=function(m1,m2,m3,m4,m5){
mycoef=rbind(m1$coefficients,m2$coefficients,m3$coefficients,m4$coefficients, m5$coefficients)
rownames(mycoef)=c('50%', '60%', '70%', '80%','90%')
return(mycoef)
}Outlier Length
outlength=function(m1,m2,m3,m4,m5,x1=0,x2=0,x3=0,x4=0,x5=0)
{
cooks=c(length(m1$outliers)+x1, length(m2$outliers)+x2, length(m3)+x3, length(m4$outliers)+x4,length(m5$outliers)+x5)
}Models
M1b: Altman Re-estimated
m1b_50=myGLMfit(train1[-c(164,315,403,858,906,1143, 1210,1517), c(1, 46:49)],test1[, c(1, 46:49)])## Setting levels: control = 0, case = 1## Setting direction: controls < cases
m1b_60=myGLMfit(train2[-c(533,768, 1659,1775), c(1, 46:49)],test2[, c(1, 46:49)])## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
m1b_70=myGLMfit(train3[, c(1, 46:49)],test3[, c(1, 46:49)])## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
m1b_80=myGLMfit(train4[, c(1, 46:49)],test4[, c(1, 46:49)])## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
m1b_90=myGLMfit(train5[, c(1, 46:49)],test5[, c(1, 46:49)])## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
# Create a list of your m1b_* objects
m1b_list <- list(m1b_50, m1b_60, m1b_70, m1b_80, m1b_90)
# Create a list of the models
m1b_modlist <- lapply(m1b_list, function(x) x$mod)
# Extract the confusion_matrix from each object
cm1b_list <- lapply(m1b_list, function(x) x$confusion_matrix)
# Use do.call to pass the confusion matrices as arguments to the mymetrics function
mymat1b <- do.call(mymetrics, cm1b_list)
# And for the coefficients
myCoefmat1b=do.call(mycoefs, m1b_list)
#And for the outliers
cooks_outliersm1b=outlength(m1b_50, m1b_60, m1b_70, m1b_80,m1b_90,8,4,0,0,0)
#And for the coefficient tables
m1b_coef_list<- lapply(seq_along(m1b_modlist), function(i) {
glm_summary(m1b_modlist[[i]])
})
names(m1b_coef_list) <- c("50%", "60%", "70%", "80%", "90%")
temp=cbind(mymat1b[, c(11, 5,6,7, 2,4, 12,13,14)],myCoefmat1b)
temp=as.data.frame(t(temp))M1b Output
# Print Accuracy metrics & Coefficients
myprint(temp)## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> </th>
## <th style="text-align:right;"> 50% </th>
## <th style="text-align:right;"> 60% </th>
## <th style="text-align:right;"> 70% </th>
## <th style="text-align:right;"> 80% </th>
## <th style="text-align:right;"> 90% </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> Balanced Accuracy </td>
## <td style="text-align:right;"> 0.6600000 </td>
## <td style="text-align:right;"> 0.6720000 </td>
## <td style="text-align:right;"> 0.4620000 </td>
## <td style="text-align:right;"> 0.5360000 </td>
## <td style="text-align:right;"> 0.4650000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Precision </td>
## <td style="text-align:right;"> 0.0540000 </td>
## <td style="text-align:right;"> 0.0510000 </td>
## <td style="text-align:right;"> 0.0200000 </td>
## <td style="text-align:right;"> 0.0230000 </td>
## <td style="text-align:right;"> 0.0210000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Recall </td>
## <td style="text-align:right;"> 0.5150000 </td>
## <td style="text-align:right;"> 0.5770000 </td>
## <td style="text-align:right;"> 0.8500000 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 0.8570000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> F1 </td>
## <td style="text-align:right;"> 0.0980000 </td>
## <td style="text-align:right;"> 0.0930000 </td>
## <td style="text-align:right;"> 0.0390000 </td>
## <td style="text-align:right;"> 0.0440000 </td>
## <td style="text-align:right;"> 0.0410000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Specificity </td>
## <td style="text-align:right;"> 0.8040000 </td>
## <td style="text-align:right;"> 0.7670000 </td>
## <td style="text-align:right;"> 0.0740000 </td>
## <td style="text-align:right;"> 0.0730000 </td>
## <td style="text-align:right;"> 0.0730000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Neg Pred Value </td>
## <td style="text-align:right;"> 0.9870000 </td>
## <td style="text-align:right;"> 0.9880000 </td>
## <td style="text-align:right;"> 0.9570000 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 0.9570000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AUC </td>
## <td style="text-align:right;"> 0.6530000 </td>
## <td style="text-align:right;"> 0.6320000 </td>
## <td style="text-align:right;"> 0.4850000 </td>
## <td style="text-align:right;"> 0.5350000 </td>
## <td style="text-align:right;"> 0.5270000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PR_AUC </td>
## <td style="text-align:right;"> 0.0470000 </td>
## <td style="text-align:right;"> 0.0420000 </td>
## <td style="text-align:right;"> 0.0730000 </td>
## <td style="text-align:right;"> 0.0220000 </td>
## <td style="text-align:right;"> 0.1720000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> MISS </td>
## <td style="text-align:right;"> 0.2020000 </td>
## <td style="text-align:right;"> 0.2370000 </td>
## <td style="text-align:right;"> 0.9090000 </td>
## <td style="text-align:right;"> 0.9080000 </td>
## <td style="text-align:right;"> 0.9100000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> (Intercept) </td>
## <td style="text-align:right;"> -0.2164289 </td>
## <td style="text-align:right;"> 0.0482083 </td>
## <td style="text-align:right;"> 0.0261639 </td>
## <td style="text-align:right;"> 0.0306547 </td>
## <td style="text-align:right;"> 0.0310504 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Alt1Ohls3.y.1. </td>
## <td style="text-align:right;"> 0.0131873 </td>
## <td style="text-align:right;"> -1.1694099 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX2.y.1. </td>
## <td style="text-align:right;"> 0.0955764 </td>
## <td style="text-align:right;"> 0.0612987 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX3.y.1. </td>
## <td style="text-align:right;"> -6.0045832 </td>
## <td style="text-align:right;"> -1.2820907 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000001 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX4.y.1. </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## </tr>
## </tbody>
## </table># Define the labels for each plot
labels <- c("M1b 50%", "M1b 60%", "M1b 70%", "M1b 80%", "M1b 90%")
#cm_list <- list(cm1b_50, cm1b_60, cm1b_70, cm1b_80, cm1b_90)
# Apply the confusion_matrix_to_df and plot_confusion_matrix functions in sequence
plot_list <- lapply(seq_along(cm1b_list), function(i) {
df <- confusion_matrix_to_df(cm1b_list[[i]])
plot_confusion_matrix(df, labels[i])
})
# Assign each plot to a specific variable if needed
M1bplot1 <- plot_list[[1]]
M1bplot2 <- plot_list[[2]]
M1bplot3 <- plot_list[[3]]
M1bplot4 <- plot_list[[4]]
M1bplot5 <- plot_list[[5]]
# Arrange the plots side by side
grid.arrange(M1bplot1, M1bplot2, M1bplot3, M1bplot4, M1bplot5, ncol = 3)
# Removed Outliers
myprint(cooks_outliersm1b)## [1] 11 7 6 0 0# Print Coefficient Tables
myprint(m1b_coef_list)## $`50%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) -0.216 0.043 -4.989 0.000 0.806 NA
## Alt1Ohls3.y.1. 0.013 0.101 0.131 0.896 1.013 1.086
## AltmanX2.y.1. 0.096 0.089 1.079 0.280 1.101 1.065
## AltmanX3.y.1. -6.005 0.315 -19.053 0.000 0.002 1.081
## AltmanX4.y.1. 0.000 0.000 -3.288 0.001 1.000 1.044
##
## $`60%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 0.048 0.036 1.357 0.175 1.049 NA
## Alt1Ohls3.y.1. -1.169 0.114 -10.244 0.000 0.311 1.101
## AltmanX2.y.1. 0.061 0.105 0.584 0.559 1.063 1.239
## AltmanX3.y.1. -1.282 0.170 -7.564 0.000 0.277 1.047
## AltmanX4.y.1. 0.000 0.000 -2.096 0.036 1.000 1.164
##
## $`70%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 0.026 0.031 0.834 0.404 1.026 NA
## Alt1Ohls3.y.1. 0.000 0.000 0.047 0.963 1.000 1.656
## AltmanX2.y.1. 0.000 0.000 0.004 0.997 1.000 1.212
## AltmanX3.y.1. 0.000 0.000 0.044 0.965 1.000 1.485
## AltmanX4.y.1. 0.000 0.000 -7.253 0.000 1.000 1
##
## $`80%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 0.031 0.029 1.050 0.294 1.031 NA
## Alt1Ohls3.y.1. 0.000 0.000 0.070 0.944 1.000 2.417
## AltmanX2.y.1. 0.000 0.000 -0.003 0.997 1.000 1.488
## AltmanX3.y.1. 0.000 0.000 0.060 0.952 1.000 1.785
## AltmanX4.y.1. 0.000 0.000 -5.227 0.000 1.000 1
##
## $`90%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 0.031 0.028 1.125 0.261 1.031 NA
## Alt1Ohls3.y.1. 0.000 0.000 0.051 0.959 1.000 1.474
## AltmanX2.y.1. 0.000 0.000 -0.001 0.999 1.000 1.353
## AltmanX3.y.1. 0.000 0.000 0.049 0.961 1.000 1.425
## AltmanX4.y.1. 0.000 0.000 -7.985 0.000 1.000 1M1a: Altman Original
myalt <- function(test) {
test$Z <- 6.72 * test$Alt1Ohls3.y.1. +
1.05 * test$AltmanX2.y.1. +
6.5 * test$AltmanX3.y.1. +
3.26 * test$AltmanX4.y.1.
# Calculate Decision Rule
test$Decision <- ifelse(test$Z < 1.1, 1, 0)
# Ensure factors have the same levels
test$Decision <- factor(test$Decision, levels = c(0, 1))
test$Bankrupt <- factor(test$Bankrupt, levels = c(0, 1))
# Confusion Matrix
cm <- caret::confusionMatrix(as.factor(test$Decision), as.factor(test$Bankrupt), positive = "1", mode = "prec_recall")
# Calculate ROC AUC
roc_curve <- roc(test$Bankrupt, test$Z)
auc_value <- auc(roc_curve)
# Calculate PR AUC
fg <- test$Z[test$Bankrupt == 1]
bg <- test$Z[test$Bankrupt == 0]
pr_curve <- pr.curve(scores.class0 = fg, scores.class1 = bg, curve = TRUE)
pr_auc_value <- pr_curve$auc.integral
#Miss rate
MISS=1-sum(diag(cm$table))/sum(cm$table)
# Add AUC and PR AUC to the confusion matrix results
cm$byClass <- c(cm$byClass, AUC = auc_value, PR_AUC = pr_auc_value, MISS=MISS)
return(cm)
}
print(colnames(test1[, c(1, 46:49)]))## [1] "Bankrupt" "Alt1Ohls3.y.1." "AltmanX2.y.1." "AltmanX3.y.1."
## [5] "AltmanX4.y.1."cm1a_50 <- myalt(test1[-m1b_50$outliers, c(1, 46:49)])## Setting levels: control = 0, case = 1## Setting direction: controls > casescm1a_60 <- myalt(test2[-m1b_60$outliers, c(1, 46:49)])## Setting levels: control = 0, case = 1
## Setting direction: controls > casescm1a_70 <- myalt(test3[-m1b_70$outliers, c(1, 46:49)])## Setting levels: control = 0, case = 1
## Setting direction: controls > casescm1a_80 <- myalt(test4[, c(1, 46:49)]) # no outliers!## Setting levels: control = 0, case = 1
## Setting direction: controls > casescm1a_90 <- myalt(test5[, c(1, 46:49)])## Setting levels: control = 0, case = 1
## Setting direction: controls > casesmymat1a <- rbind(cm1a_50$byClass, cm1a_60$byClass, cm1a_70$byClass, cm1a_80$byClass, cm1a_90$byClass)
mymat1a <- round(mymat1a, 3)
rownames(mymat1a) <- c('50%', '60%', '70%', '80%', '90%')M1a Output
myprint(mymat1a[, c(11, 5,6,7, 2,4, 12,13,14)])## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> </th>
## <th style="text-align:right;"> Balanced Accuracy </th>
## <th style="text-align:right;"> Precision </th>
## <th style="text-align:right;"> Recall </th>
## <th style="text-align:right;"> F1 </th>
## <th style="text-align:right;"> Specificity </th>
## <th style="text-align:right;"> Neg Pred Value </th>
## <th style="text-align:right;"> AUC </th>
## <th style="text-align:right;"> PR_AUC </th>
## <th style="text-align:right;"> MISS </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> 50% </td>
## <td style="text-align:right;"> 0.633 </td>
## <td style="text-align:right;"> 0.035 </td>
## <td style="text-align:right;"> 0.667 </td>
## <td style="text-align:right;"> 0.067 </td>
## <td style="text-align:right;"> 0.599 </td>
## <td style="text-align:right;"> 0.988 </td>
## <td style="text-align:right;"> 0.652 </td>
## <td style="text-align:right;"> 0.017 </td>
## <td style="text-align:right;"> 0.399 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> 60% </td>
## <td style="text-align:right;"> 0.614 </td>
## <td style="text-align:right;"> 0.032 </td>
## <td style="text-align:right;"> 0.654 </td>
## <td style="text-align:right;"> 0.061 </td>
## <td style="text-align:right;"> 0.574 </td>
## <td style="text-align:right;"> 0.987 </td>
## <td style="text-align:right;"> 0.634 </td>
## <td style="text-align:right;"> 0.021 </td>
## <td style="text-align:right;"> 0.425 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> 70% </td>
## <td style="text-align:right;"> 0.567 </td>
## <td style="text-align:right;"> 0.028 </td>
## <td style="text-align:right;"> 0.550 </td>
## <td style="text-align:right;"> 0.054 </td>
## <td style="text-align:right;"> 0.585 </td>
## <td style="text-align:right;"> 0.983 </td>
## <td style="text-align:right;"> 0.582 </td>
## <td style="text-align:right;"> 0.024 </td>
## <td style="text-align:right;"> 0.416 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> 80% </td>
## <td style="text-align:right;"> 0.632 </td>
## <td style="text-align:right;"> 0.033 </td>
## <td style="text-align:right;"> 0.692 </td>
## <td style="text-align:right;"> 0.064 </td>
## <td style="text-align:right;"> 0.571 </td>
## <td style="text-align:right;"> 0.989 </td>
## <td style="text-align:right;"> 0.623 </td>
## <td style="text-align:right;"> 0.020 </td>
## <td style="text-align:right;"> 0.426 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> 90% </td>
## <td style="text-align:right;"> 0.714 </td>
## <td style="text-align:right;"> 0.044 </td>
## <td style="text-align:right;"> 0.857 </td>
## <td style="text-align:right;"> 0.084 </td>
## <td style="text-align:right;"> 0.571 </td>
## <td style="text-align:right;"> 0.994 </td>
## <td style="text-align:right;"> 0.785 </td>
## <td style="text-align:right;"> 0.039 </td>
## <td style="text-align:right;"> 0.423 </td>
## </tr>
## </tbody>
## </table>df1 <- confusion_matrix_to_df(cm1a_50)
df2 <- confusion_matrix_to_df(cm1a_60)
df3 <- confusion_matrix_to_df(cm1a_70)
df4 <- confusion_matrix_to_df(cm1a_80)
df5 <- confusion_matrix_to_df(cm1a_90)
# Create individual plots
M1aplot1 <- plot_confusion_matrix(df1, "M1a 50%")
M1aplot2 <- plot_confusion_matrix(df2, "M1a 60%")
M1aplot3 <- plot_confusion_matrix(df3, "M1a 70%")
M1aplot4 <- plot_confusion_matrix(df4, "M1a 80%")
M1aplot5 <- plot_confusion_matrix(df5, "M1a 90%")
# Arrange the plots side by side
grid.arrange(M1aplot1, M1aplot2, M1aplot3, M1aplot4, M1aplot5, ncol = 3)
M2b: Ohlson Re-estimated
m2b_50=myGLMfit(train1[-c(164, 403, 906, 996, 1143,1478), c(1, 50,51, 46,52,56,53,54,57,55)],test1[, c(1, 50,51, 46,52,56,53,54,57,55)])## Setting levels: control = 0, case = 1## Setting direction: controls < cases
m2b_60=myGLMfit(train2[-393, c(1, 50,51, 46,52,56,53,54,57,55)],test2[, c(1, 50,51, 46,52,56,53,54,57,55)])## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
m2b_70=myGLMfit(train3[-c(102, 138, 275,1086, 1785, 2163), c(1, 50,51, 46,52,56,53,54,57,55)],test3[, c(1, 50,51, 46,52,56,53,54,57,55)])## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
m2b_80=myGLMfit(train4[-c(517,1182), c(1, 50,51, 46,52,56,53,54,57,55)],test4[, c(1, 50,51, 46,52,56,53,54,57,55)])## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
m2b_90=myGLMfit(train5[-c(1334, 1335, 1997,2004),c(1, 50,51, 46,52,56,53,54,57,55)],test5[, c(1, 50,51, 46,52,56,53,54,57,55)])## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
# Create a list of your m2b_* objects
m2b_list <- list(m2b_50, m2b_60, m2b_70, m2b_80, m2b_90)
# Create a list of the models
m2b_modlist <- lapply(m2b_list, function(x) x$mod)
# Extract the confusion_matrix from each object
cm2b_list <- lapply(m2b_list, function(x) x$confusion_matrix)
# Use do.call to pass the confusion matrices as arguments to the mymetrics function
mymat2b <- do.call(mymetrics, cm2b_list)
# And for the coefficients
myCoefmat2b=do.call(mycoefs, m2b_list)
#And for the outliers
cooks_outliersm2b=outlength(m2b_50, m2b_60, m2b_70, m2b_80,m2b_90,6,1,6,2,4)
#And for the coefficient tables
m2b_coef_list<- lapply(seq_along(m2b_modlist), function(i) {
glm_summary(m2b_modlist[[i]])
})
names(m2b_coef_list) <- c("50%", "60%", "70%", "80%", "90%")
temp=cbind(mymat2b[, c(11, 5,6,7, 2,4, 12,13,14)],myCoefmat2b)
temp=as.data.frame(t(temp))M2b Output
# Print Accuracy metrics & Coefficients
myprint(temp)## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> </th>
## <th style="text-align:right;"> 50% </th>
## <th style="text-align:right;"> 60% </th>
## <th style="text-align:right;"> 70% </th>
## <th style="text-align:right;"> 80% </th>
## <th style="text-align:right;"> 90% </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> Balanced Accuracy </td>
## <td style="text-align:right;"> 0.6820000 </td>
## <td style="text-align:right;"> 0.5870000 </td>
## <td style="text-align:right;"> 0.6070000 </td>
## <td style="text-align:right;"> 0.6950000 </td>
## <td style="text-align:right;"> 0.6600000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Precision </td>
## <td style="text-align:right;"> 0.0610000 </td>
## <td style="text-align:right;"> 0.0350000 </td>
## <td style="text-align:right;"> 0.0400000 </td>
## <td style="text-align:right;"> 0.0470000 </td>
## <td style="text-align:right;"> 0.0500000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Recall </td>
## <td style="text-align:right;"> 0.5450000 </td>
## <td style="text-align:right;"> 0.4230000 </td>
## <td style="text-align:right;"> 0.4500000 </td>
## <td style="text-align:right;"> 0.6920000 </td>
## <td style="text-align:right;"> 0.5710000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> F1 </td>
## <td style="text-align:right;"> 0.1100000 </td>
## <td style="text-align:right;"> 0.0650000 </td>
## <td style="text-align:right;"> 0.0740000 </td>
## <td style="text-align:right;"> 0.0880000 </td>
## <td style="text-align:right;"> 0.0920000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Specificity </td>
## <td style="text-align:right;"> 0.8180000 </td>
## <td style="text-align:right;"> 0.7510000 </td>
## <td style="text-align:right;"> 0.7640000 </td>
## <td style="text-align:right;"> 0.6980000 </td>
## <td style="text-align:right;"> 0.7490000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Neg Pred Value </td>
## <td style="text-align:right;"> 0.9880000 </td>
## <td style="text-align:right;"> 0.9840000 </td>
## <td style="text-align:right;"> 0.9840000 </td>
## <td style="text-align:right;"> 0.9910000 </td>
## <td style="text-align:right;"> 0.9870000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AUC </td>
## <td style="text-align:right;"> 0.7280000 </td>
## <td style="text-align:right;"> 0.7120000 </td>
## <td style="text-align:right;"> 0.7040000 </td>
## <td style="text-align:right;"> 0.7490000 </td>
## <td style="text-align:right;"> 0.7650000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PR_AUC </td>
## <td style="text-align:right;"> 0.0450000 </td>
## <td style="text-align:right;"> 0.0350000 </td>
## <td style="text-align:right;"> 0.0380000 </td>
## <td style="text-align:right;"> 0.0450000 </td>
## <td style="text-align:right;"> 0.1850000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> MISS </td>
## <td style="text-align:right;"> 0.1880000 </td>
## <td style="text-align:right;"> 0.2560000 </td>
## <td style="text-align:right;"> 0.2420000 </td>
## <td style="text-align:right;"> 0.3020000 </td>
## <td style="text-align:right;"> 0.2550000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> (Intercept) </td>
## <td style="text-align:right;"> 19.0957897 </td>
## <td style="text-align:right;"> 30.8026173 </td>
## <td style="text-align:right;"> 28.2488019 </td>
## <td style="text-align:right;"> 24.4054212 </td>
## <td style="text-align:right;"> 29.7721775 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX1.y.1. </td>
## <td style="text-align:right;"> -8.0154762 </td>
## <td style="text-align:right;"> -12.7681664 </td>
## <td style="text-align:right;"> -11.8339537 </td>
## <td style="text-align:right;"> -9.9728356 </td>
## <td style="text-align:right;"> -12.3828583 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX2.y.1. </td>
## <td style="text-align:right;"> 0.3780150 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Alt1Ohls3.y.1. </td>
## <td style="text-align:right;"> 0.1993522 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX4.y.1. </td>
## <td style="text-align:right;"> 0.0560383 </td>
## <td style="text-align:right;"> 0.2105530 </td>
## <td style="text-align:right;"> 0.1346026 </td>
## <td style="text-align:right;"> 0.1722579 </td>
## <td style="text-align:right;"> 0.0944592 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX5.y.1. </td>
## <td style="text-align:right;"> -1.9070829 </td>
## <td style="text-align:right;"> -0.1734251 </td>
## <td style="text-align:right;"> -1.2029599 </td>
## <td style="text-align:right;"> -1.3712046 </td>
## <td style="text-align:right;"> -0.5959853 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX6.y.1. </td>
## <td style="text-align:right;"> -5.2278504 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000001 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX7.y.1. </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX8.y.1. </td>
## <td style="text-align:right;"> 0.5873284 </td>
## <td style="text-align:right;"> 0.0959559 </td>
## <td style="text-align:right;"> 1.2088206 </td>
## <td style="text-align:right;"> -0.0372708 </td>
## <td style="text-align:right;"> 0.6156562 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX9.y.1. </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## </tr>
## </tbody>
## </table># Define the labels for each plot
labels <- c("M2b 50%", "M2b 60%", "M2b 70%", "M2b 80%", "M2b 90%")
#cm_list <- list(cm2b_50, cm2b_60, cm2b_70, cm2b_80, cm2b_90)
# Apply the confusion_matrix_to_df and plot_confusion_matrix functions in sequence
plot_list <- lapply(seq_along(cm2b_list), function(i) {
df <- confusion_matrix_to_df(cm2b_list[[i]])
plot_confusion_matrix(df, labels[i])
})
# Assign each plot to a specific variable if needed
m2bplot1 <- plot_list[[1]]
m2bplot2 <- plot_list[[2]]
m2bplot3 <- plot_list[[3]]
m2bplot4 <- plot_list[[4]]
m2bplot5 <- plot_list[[5]]
# Arrange the plots side by side
grid.arrange(m2bplot1, m2bplot2, m2bplot3, m2bplot4, m2bplot5, ncol = 3)
# Removed Outliers
myprint(cooks_outliersm2b)## [1] 9 1 12 2 4# Print Coefficient Tables
myprint(m2b_coef_list)## $`50%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 19.096 1.338 14.272 0.000 1.96466e+08 NA
## OhlsonX1.y.1. -8.015 0.543 -14.757 0.000 0.00000e+00 1.077
## OhlsonX2.y.1. 0.378 0.111 3.407 0.001 1.45900e+00 1.442
## Alt1Ohls3.y.1. 0.199 0.103 1.943 0.052 1.22000e+00 1.886
## OhlsonX4.y.1. 0.056 0.029 1.944 0.052 1.05800e+00 1.719
## OhlsonX5.y.1. -1.907 0.162 -11.776 0.000 1.49000e-01 1.139
## OhlsonX6.y.1. -5.228 0.551 -9.480 0.000 5.00000e-03 1.903
## OhlsonX7.y.1. 0.000 0.000 0.713 0.476 1.00000e+00 1.095
## OhlsonX8.y.1. 0.587 0.114 5.136 0.000 1.79900e+00 1.573
## OhlsonX9.y.1. 0.000 0.000 -0.166 0.868 1.00000e+00 1.022
##
## $`60%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 30.803 1.197 25.743 0.000 2.385464e+13 NA
## OhlsonX1.y.1. -12.768 0.490 -26.033 0.000 0.000000e+00 1.038
## OhlsonX2.y.1. 0.000 0.000 -0.157 0.875 1.000000e+00 1.481
## Alt1Ohls3.y.1. 0.000 0.000 0.138 0.890 1.000000e+00 1.656
## OhlsonX4.y.1. 0.211 0.038 5.551 0.000 1.235000e+00 1.18
## OhlsonX5.y.1. -0.173 0.108 -1.612 0.107 8.410000e-01 1.182
## OhlsonX6.y.1. 0.000 0.000 -0.013 0.990 1.000000e+00 2.231
## OhlsonX7.y.1. 0.000 0.000 -3.510 0.000 1.000000e+00 1.012
## OhlsonX8.y.1. 0.096 0.088 1.092 0.275 1.101000e+00 1.063
## OhlsonX9.y.1. 0.000 0.000 -1.109 0.268 1.000000e+00 1.016
##
## $`70%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 28.249 1.115 25.345 0.000 1.855175e+12 NA
## OhlsonX1.y.1. -11.834 0.458 -25.837 0.000 0.000000e+00 1.041
## OhlsonX2.y.1. 0.000 0.000 -0.008 0.994 1.000000e+00 250.116
## Alt1Ohls3.y.1. 0.000 0.000 0.053 0.958 1.000000e+00 5.171
## OhlsonX4.y.1. 0.135 0.027 5.066 0.000 1.145000e+00 1.203
## OhlsonX5.y.1. -1.203 0.122 -9.900 0.000 3.000000e-01 1.201
## OhlsonX6.y.1. 0.000 0.000 0.002 0.999 1.000000e+00 260.48
## OhlsonX7.y.1. 0.000 0.000 -0.320 0.749 1.000000e+00 1.051
## OhlsonX8.y.1. 1.209 0.079 15.216 0.000 3.350000e+00 1.068
## OhlsonX9.y.1. 0.000 0.000 -3.295 0.001 1.000000e+00 1.012
##
## $`80%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 24.405 0.931 26.213 0.000 3.971521e+10 NA
## OhlsonX1.y.1. -9.973 0.379 -26.337 0.000 0.000000e+00 1.067
## OhlsonX2.y.1. 0.000 0.000 -0.009 0.993 1.000000e+00 241.835
## Alt1Ohls3.y.1. 0.000 0.000 0.013 0.990 1.000000e+00 41.885
## OhlsonX4.y.1. 0.172 0.025 6.827 0.000 1.188000e+00 1.175
## OhlsonX5.y.1. -1.371 0.112 -12.234 0.000 2.540000e-01 1.177
## OhlsonX6.y.1. 0.000 0.000 0.003 0.998 1.000000e+00 108.711
## OhlsonX7.y.1. 0.000 0.000 -1.676 0.094 1.000000e+00 1.046
## OhlsonX8.y.1. -0.037 0.075 -0.495 0.621 9.640000e-01 1.104
## OhlsonX9.y.1. 0.000 0.000 -4.114 0.000 1.000000e+00 1.04
##
## $`90%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 29.772 0.946 31.470 0.000 8.507762e+12 NA
## OhlsonX1.y.1. -12.383 0.389 -31.873 0.000 0.000000e+00 1.057
## OhlsonX2.y.1. 0.000 0.000 -0.038 0.970 1.000000e+00 3.397
## Alt1Ohls3.y.1. 0.000 0.000 0.203 0.839 1.000000e+00 2.577
## OhlsonX4.y.1. 0.094 0.020 4.627 0.000 1.099000e+00 1.162
## OhlsonX5.y.1. -0.596 0.093 -6.402 0.000 5.510000e-01 1.164
## OhlsonX6.y.1. 0.000 0.000 0.128 0.898 1.000000e+00 3.099
## OhlsonX7.y.1. 0.000 0.000 0.423 0.672 1.000000e+00 1.066
## OhlsonX8.y.1. 0.616 0.071 8.646 0.000 1.852000e+00 1.097
## OhlsonX9.y.1. 0.000 0.000 -3.923 0.000 1.000000e+00 1.023M2a: Ohlson Original
myohl=function(test)
{
test$OhlsonX1.y.1.[test$OhlsonX1.y.1.<0]=.1
test$OhlsonX1.y.1.=log(test$OhlsonX1.y.1.)
#Ohlson Score
test$O =
-1.32
-0.407*test$OhlsonX1.y.1.
+6.03*test$OhlsonX2.y.1.
-1.43*test$Alt1Ohls3.y.1.
+0.0757*test$OhlsonX4.y.1.
-2.37*test$OhlsonX5.y.1.
-1.83*test$OhlsonX6.y.1.
+0.285*test$OhlsonX7.y.1.
-1.72*test$OhlsonX8.y.1.
-0.521*test$OhlsonX9.y.1.
#Convert to Probabilities
suppressWarnings({
lnprob=(test$O)-log((1+exp(test$O)))
prob=exp(lnprob)
test$Decision=ifelse(prob<.5,0,1)
cm=caret::confusionMatrix(as.factor(test$Decision), as.factor(test$Bankrupt), positive="1", mode = "prec_recall")
#Curves
roc_curve <- roc(test$Bankrupt, test$O)$auc
pr=pr.curve(scores.class0 = test$Decision, weights.class0 = test$Bankrupt)$auc.integral
#Miss rate
MISS=1-sum(diag(cm$table))/sum(cm$table)
# Add AUC and PR AUC to the confusion matrix results
cm$byClass <- c(cm$byClass, AUC = roc_curve, PR_AUC = pr, MISS=MISS)
return(cm)
})
}
print(colnames(test1[, c(1,50,51, 46,52,56,53,54,57,55)]))## [1] "Bankrupt" "OhlsonX1.y.1." "OhlsonX2.y.1." "Alt1Ohls3.y.1."
## [5] "OhlsonX4.y.1." "OhlsonX5.y.1." "OhlsonX6.y.1." "OhlsonX7.y.1."
## [9] "OhlsonX8.y.1." "OhlsonX9.y.1."cm2a_50=myohl(test1[, c(1, 50,51, 46,52,56,53,54,57,55)])## Setting levels: control = 0, case = 1## Setting direction: controls < casescm2a_60=myohl(test2[, c(1, 50,51, 46,52,56,53,54,57,55)])## Setting levels: control = 0, case = 1
## Setting direction: controls < casescm2a_70=myohl(test3[, c(1, 50,51, 46,52,56,53,54,57,55)])## Setting levels: control = 0, case = 1
## Setting direction: controls < casescm2a_80=myohl(test4[, c(1, 50,51, 46,52,56,53,54,57,55)])## Setting levels: control = 0, case = 1
## Setting direction: controls < casescm2a_90=myohl(test5[, c(1, 50,51, 46,52,56,53,54,57,55)])## Setting levels: control = 0, case = 1
## Setting direction: controls < casesM2a Output
mymat2a=rbind(cm2a_50$byClass,cm2a_60$byClass,cm2a_70$byClass,cm2a_80$byClass,cm2a_90$byClass)
rownames(mymat2a)=c('50%', '60%', '70%', '80%' , '90%')
myprint(round(mymat2a[, c(11, 5,6,7, 2,4, 12,13)],3))## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> </th>
## <th style="text-align:right;"> Balanced Accuracy </th>
## <th style="text-align:right;"> Precision </th>
## <th style="text-align:right;"> Recall </th>
## <th style="text-align:right;"> F1 </th>
## <th style="text-align:right;"> Specificity </th>
## <th style="text-align:right;"> Neg Pred Value </th>
## <th style="text-align:right;"> AUC </th>
## <th style="text-align:right;"> PR_AUC </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> 50% </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> NA </td>
## <td style="text-align:right;"> 0 </td>
## <td style="text-align:right;"> NA </td>
## <td style="text-align:right;"> 1 </td>
## <td style="text-align:right;"> 0.979 </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.021 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> 60% </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> NA </td>
## <td style="text-align:right;"> 0 </td>
## <td style="text-align:right;"> NA </td>
## <td style="text-align:right;"> 1 </td>
## <td style="text-align:right;"> 0.979 </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.021 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> 70% </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> NA </td>
## <td style="text-align:right;"> 0 </td>
## <td style="text-align:right;"> NA </td>
## <td style="text-align:right;"> 1 </td>
## <td style="text-align:right;"> 0.978 </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.022 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> 80% </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> NA </td>
## <td style="text-align:right;"> 0 </td>
## <td style="text-align:right;"> NA </td>
## <td style="text-align:right;"> 1 </td>
## <td style="text-align:right;"> 0.979 </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.021 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> 90% </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> NA </td>
## <td style="text-align:right;"> 0 </td>
## <td style="text-align:right;"> NA </td>
## <td style="text-align:right;"> 1 </td>
## <td style="text-align:right;"> 0.977 </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.023 </td>
## </tr>
## </tbody>
## </table>df1 <- confusion_matrix_to_df(cm2a_50)
df2 <- confusion_matrix_to_df(cm2a_60)
df3 <- confusion_matrix_to_df(cm2a_70)
df4 <- confusion_matrix_to_df(cm2a_80)
df5 <- confusion_matrix_to_df(cm2a_90)
# Create individual plots
M2aplot1 <- plot_confusion_matrix(df1, "M2a 50%")
M2aplot2 <- plot_confusion_matrix(df2, "M2a 60%")
M2aplot3 <- plot_confusion_matrix(df3, "M2a 70%")
M2aplot4 <- plot_confusion_matrix(df4, "M2a 80%")
M2aplot5 <- plot_confusion_matrix(df5, "M2a 90%")
# Arrange the plots side by side
grid.arrange(M2aplot1, M2aplot2, M2aplot3, M2aplot4, M2aplot5, ncol = 3)
M3b: Zmijewski Re-estimated
train1$CA_CL=1/(train1$OhlsonX4.y.1.+.1)
train2$CA_CL=1/(train2$OhlsonX4.y.1.+.1)
train3$CA_CL=1/(train3$OhlsonX4.y.1.+.1)
train4$CA_CL=1/(train4$OhlsonX4.y.1.+.1)
train5$CA_CL=1/(train5$OhlsonX4.y.1.+.1)
test1$CA_CL=1/(test1$OhlsonX4.y.1.+.1)
test2$CA_CL=1/(test2$OhlsonX4.y.1.+.1)
test3$CA_CL=1/(test3$OhlsonX4.y.1.+.1)
test4$CA_CL=1/(test4$OhlsonX4.y.1.+.1)
test5$CA_CL=1/(test5$OhlsonX4.y.1.+.1)
print(colnames(test1[,c(1,53,51,106)]))## [1] "Bankrupt" "OhlsonX6.y.1." "OhlsonX2.y.1." "CA_CL"m3b_50=myGLMfit(train1[,c(1,53,51,106)],test1[,c(1,53,51,106)])## Setting levels: control = 0, case = 1## Setting direction: controls < cases
m3b_60=myGLMfit(train2[,c(1,53,51,106)],test2[,c(1,53,51,106)])## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
m3b_70=myGLMfit(train3[-c(102,1050,2163),c(1,53,51,106)],test3[,c(1,53,51,106)])## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
m3b_80=myGLMfit(train4[,c(1,53,51,106)],test4[,c(1,53,51,106)])## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
m3b_90=myGLMfit(train5[,c(1,53,51,106)],test5[,c(1,53,51,106)])## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
# Create a list of your m3b_* objects
m3b_list <- list(m3b_50, m3b_60, m3b_70, m3b_80, m3b_90)
# Create a list of the models
m3b_modlist <- lapply(m3b_list, function(x) x$mod)
# Extract the confusion_matrix from each object
cm3b_list <- lapply(m3b_list, function(x) x$confusion_matrix)
# Use do.call to pass the confusion matrices as arguments to the mymetrics function
mymat3b <- do.call(mymetrics, cm3b_list)
# And for the coefficients
myCoefmat3b=do.call(mycoefs, m3b_list)
#And for the outliers
cooks_outliersm3b=outlength(m3b_50, m3b_60, m3b_70, m3b_80,m3b_90,6,1,6,2,4)
#And for the coefficient tables
m3b_coef_list<- lapply(seq_along(m3b_modlist), function(i) {
glm_summary(m3b_modlist[[i]])
})
names(m3b_coef_list) <- c("50%", "60%", "70%", "80%", "90%")
temp=cbind(mymat3b[, c(11, 5,6,7, 2,4, 12,13,14)],myCoefmat3b)
temp=as.data.frame(t(temp))M3b Output
# Print Accuracy metrics & Coefficients
myprint(temp)## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> </th>
## <th style="text-align:right;"> 50% </th>
## <th style="text-align:right;"> 60% </th>
## <th style="text-align:right;"> 70% </th>
## <th style="text-align:right;"> 80% </th>
## <th style="text-align:right;"> 90% </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> Balanced Accuracy </td>
## <td style="text-align:right;"> 0.5020000 </td>
## <td style="text-align:right;"> 0.5710000 </td>
## <td style="text-align:right;"> 0.5860000 </td>
## <td style="text-align:right;"> 0.5660000 </td>
## <td style="text-align:right;"> 0.6550000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Precision </td>
## <td style="text-align:right;"> 0.0210000 </td>
## <td style="text-align:right;"> 0.0280000 </td>
## <td style="text-align:right;"> 0.0300000 </td>
## <td style="text-align:right;"> 0.0260000 </td>
## <td style="text-align:right;"> 0.0350000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Recall </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 0.5380000 </td>
## <td style="text-align:right;"> 0.6000000 </td>
## <td style="text-align:right;"> 0.6920000 </td>
## <td style="text-align:right;"> 0.8570000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> F1 </td>
## <td style="text-align:right;"> 0.0420000 </td>
## <td style="text-align:right;"> 0.0540000 </td>
## <td style="text-align:right;"> 0.0570000 </td>
## <td style="text-align:right;"> 0.0500000 </td>
## <td style="text-align:right;"> 0.0670000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Specificity </td>
## <td style="text-align:right;"> 0.0030000 </td>
## <td style="text-align:right;"> 0.6030000 </td>
## <td style="text-align:right;"> 0.5720000 </td>
## <td style="text-align:right;"> 0.4390000 </td>
## <td style="text-align:right;"> 0.4520000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Neg Pred Value </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 0.9840000 </td>
## <td style="text-align:right;"> 0.9850000 </td>
## <td style="text-align:right;"> 0.9850000 </td>
## <td style="text-align:right;"> 0.9930000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AUC </td>
## <td style="text-align:right;"> 0.5020000 </td>
## <td style="text-align:right;"> 0.6230000 </td>
## <td style="text-align:right;"> 0.6530000 </td>
## <td style="text-align:right;"> 0.6160000 </td>
## <td style="text-align:right;"> 0.7790000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PR_AUC </td>
## <td style="text-align:right;"> 0.0210000 </td>
## <td style="text-align:right;"> 0.0880000 </td>
## <td style="text-align:right;"> 0.0910000 </td>
## <td style="text-align:right;"> 0.0500000 </td>
## <td style="text-align:right;"> 0.1410000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> MISS </td>
## <td style="text-align:right;"> 0.9750000 </td>
## <td style="text-align:right;"> 0.3990000 </td>
## <td style="text-align:right;"> 0.4280000 </td>
## <td style="text-align:right;"> 0.5560000 </td>
## <td style="text-align:right;"> 0.5390000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> (Intercept) </td>
## <td style="text-align:right;"> 0.0035981 </td>
## <td style="text-align:right;"> 0.3674260 </td>
## <td style="text-align:right;"> 0.4341190 </td>
## <td style="text-align:right;"> 0.0330141 </td>
## <td style="text-align:right;"> 0.0536000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX6.y.1. </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> -0.0000001 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX2.y.1. </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> CA_CL </td>
## <td style="text-align:right;"> 0.0002020 </td>
## <td style="text-align:right;"> -0.2738439 </td>
## <td style="text-align:right;"> -0.3105646 </td>
## <td style="text-align:right;"> -0.0202032 </td>
## <td style="text-align:right;"> -0.0349898 </td>
## </tr>
## </tbody>
## </table># Define the labels for each plot
labels <- c("M3b 50%", "M3b 60%", "M3b 70%", "M3b 80%", "M3b 90%")
#cm_list <- list(cm3b_50, cm3b_60, cm3b_70, cm3b_80, cm3b_90)
# Apply the confusion_matrix_to_df and plot_confusion_matrix functions in sequence
plot_list <- lapply(seq_along(cm3b_list), function(i) {
df <- confusion_matrix_to_df(cm3b_list[[i]])
plot_confusion_matrix(df, labels[i])
})
# Assign each plot to a specific variable if needed
m3bplot1 <- plot_list[[1]]
m3bplot2 <- plot_list[[2]]
m3bplot3 <- plot_list[[3]]
m3bplot4 <- plot_list[[4]]
m3bplot5 <- plot_list[[5]]
# Arrange the plots side by side
grid.arrange(m3bplot1, m3bplot2, m3bplot3, m3bplot4, m3bplot5, ncol = 3)
# Removed Outliers
myprint(cooks_outliersm3b)## [1] 6 6 12 5 7# Print Coefficient Tables
myprint(m3b_coef_list)## $`50%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 0.004 0.037 0.097 0.922 1.004 NA
## OhlsonX6.y.1. 0.000 0.000 0.006 0.995 1.000 1.42
## OhlsonX2.y.1. 0.000 0.000 -0.044 0.965 1.000 1.42
## CA_CL 0.000 0.003 0.060 0.952 1.000 1
##
## $`60%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 0.367 0.050 7.293 0.000 1.443 NA
## OhlsonX6.y.1. 0.000 0.000 0.025 0.980 1.000 2.342
## OhlsonX2.y.1. 0.000 0.000 -0.024 0.981 1.000 2.342
## CA_CL -0.274 0.029 -9.591 0.000 0.760 1
##
## $`70%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 0.434 0.047 9.234 0.000 1.543 NA
## OhlsonX6.y.1. 0.000 0.000 -0.037 0.971 1.000 4.211
## OhlsonX2.y.1. 0.000 0.000 -0.064 0.949 1.000 4.211
## CA_CL -0.311 0.026 -11.971 0.000 0.733 1
##
## $`80%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 0.033 0.031 1.069 0.285 1.034 NA
## OhlsonX6.y.1. 0.000 0.000 -0.044 0.965 1.000 8.928
## OhlsonX2.y.1. 0.000 0.000 -0.052 0.959 1.000 8.928
## CA_CL -0.020 0.007 -2.694 0.007 0.980 1
##
## $`90%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 0.054 0.031 1.734 0.083 1.055 NA
## OhlsonX6.y.1. 0.000 0.000 -0.035 0.972 1.000 1.535
## OhlsonX2.y.1. 0.000 0.000 -0.083 0.934 1.000 1.535
## CA_CL -0.035 0.010 -3.400 0.001 0.966 1M3a: Zmijewski Original
myzm=function(test)
{
test$OhlsonX4.y.1.= 1/test$OhlsonX4.y.1. #Reciprical
test$OhlsonX4.y.1.[test$OhlsonX4.y.1.==Inf]=5
test$ZM=
-4.336
-4.513*test[,2]
+5.679*test[,3]
+0.004*test[,4]
test$Decision=ifelse(test$ZM>.5,0,1)
#Convert to Probabilities
suppressWarnings({
cm=caret::confusionMatrix(as.factor(test$Decision), as.factor(test$Bankrupt), positive="1", mode = "prec_recall")
# Calculate ROC AUC
roc_curve <- roc(test$Bankrupt, test$ZM)$auc
pr=pr.curve(scores.class0 = test$Decision, weights.class0 = test$Bankrupt)$auc.integral
#Miss rate
MISS=1-sum(diag(cm$table))/sum(cm$table)
# Add AUC and PR AUC to the confusion matrix results
cm$byClass <- c(cm$byClass, AUC = roc_curve, PR_AUC = pr, MISS=MISS)
return(cm)
})
}
print(colnames(test1[,c(1,53,51,52)]))## [1] "Bankrupt" "OhlsonX6.y.1." "OhlsonX2.y.1." "OhlsonX4.y.1."cm3a_50=myzm(test1[,c(1,53,51,52)])## Setting levels: control = 0, case = 1## Setting direction: controls < casescm3a_60=myzm(test2[,c(1,53,51,52)])## Setting levels: control = 0, case = 1
## Setting direction: controls < casescm3a_70=myzm(test3[,c(1,53,51,52)])## Setting levels: control = 0, case = 1
## Setting direction: controls < casescm3a_80=myzm(test4[,c(1,53,51,52)])## Setting levels: control = 0, case = 1
## Setting direction: controls < casescm3a_90=myzm(test5[,c(1,53,51,52)])## Setting levels: control = 0, case = 1
## Setting direction: controls < casesM3a Output
mymat3a=rbind(cm3a_50$byClass,cm3a_60$byClass,cm3a_70$byClass,cm3a_80$byClass,cm3a_90$byClass)
rownames(mymat3a)=c('50%', '60%', '70%', '80%' , '90%')
myprint(round(mymat3a[, c(11, 5,6,7, 2,4, 12,13)],3))## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> </th>
## <th style="text-align:right;"> Balanced Accuracy </th>
## <th style="text-align:right;"> Precision </th>
## <th style="text-align:right;"> Recall </th>
## <th style="text-align:right;"> F1 </th>
## <th style="text-align:right;"> Specificity </th>
## <th style="text-align:right;"> Neg Pred Value </th>
## <th style="text-align:right;"> AUC </th>
## <th style="text-align:right;"> PR_AUC </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> 50% </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.021 </td>
## <td style="text-align:right;"> 1 </td>
## <td style="text-align:right;"> 0.042 </td>
## <td style="text-align:right;"> 0 </td>
## <td style="text-align:right;"> NaN </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.021 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> 60% </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.021 </td>
## <td style="text-align:right;"> 1 </td>
## <td style="text-align:right;"> 0.041 </td>
## <td style="text-align:right;"> 0 </td>
## <td style="text-align:right;"> NaN </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.021 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> 70% </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.022 </td>
## <td style="text-align:right;"> 1 </td>
## <td style="text-align:right;"> 0.042 </td>
## <td style="text-align:right;"> 0 </td>
## <td style="text-align:right;"> NaN </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.022 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> 80% </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.021 </td>
## <td style="text-align:right;"> 1 </td>
## <td style="text-align:right;"> 0.041 </td>
## <td style="text-align:right;"> 0 </td>
## <td style="text-align:right;"> NaN </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.021 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> 90% </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.023 </td>
## <td style="text-align:right;"> 1 </td>
## <td style="text-align:right;"> 0.044 </td>
## <td style="text-align:right;"> 0 </td>
## <td style="text-align:right;"> NaN </td>
## <td style="text-align:right;"> 0.5 </td>
## <td style="text-align:right;"> 0.023 </td>
## </tr>
## </tbody>
## </table>df1 <- confusion_matrix_to_df(cm3a_50)
df2 <- confusion_matrix_to_df(cm3a_60)
df3 <- confusion_matrix_to_df(cm3a_70)
df4 <- confusion_matrix_to_df(cm3a_80)
df5 <- confusion_matrix_to_df(cm3a_90)
# Create individual plots
M3aplot1 <- plot_confusion_matrix(df1, "M3a 50%")
M3aplot2 <- plot_confusion_matrix(df2, "M3a 60%")
M3aplot3 <- plot_confusion_matrix(df3, "M3a 70%")
M3aplot4 <- plot_confusion_matrix(df4, "M3a 80%")
M3aplot5 <- plot_confusion_matrix(df5, "M3a 90%")
# Arrange the plots side by side
grid.arrange(M3aplot1, M3aplot2, M3aplot3, M3aplot4, M3aplot5, ncol = 3)
3-Fold CV ENet VarSelect
#knitr::include_graphics("variable_comparison.png")
logistic_elasticnet_cv <- function(train_set, k_folds = 3, top_n = 15) {
set.seed(42)
# Min-max scaling function
min_max_scale <- function(df) {
return(as.data.frame(lapply(df, function(x) (x - min(x, na.rm = TRUE)) / (max(x, na.rm = TRUE) - min(x, na.rm = TRUE)))))
}
# Remove outliers based on Cook's distance
remove_outliers <- function(df, response_var) {
model <- glm(Bankrupt ~ ., data = df, family = "binomial")
cooks_d <- cooks.distance(model)
outliers <- which(cooks_d > 1 & df$Bankrupt==0)
return(df[-outliers, ])
}
# Prepare data: scale and ensure complete cases
train_set <- train_set %>%
mutate(across(everything(), as.numeric)) %>%
filter(complete.cases(.))
# Remove outliers
train_set <- remove_outliers(train_set, response_var = "Bankrupt")
response <- train_set$Bankrupt
predictors <- train_set[, -which(names(train_set) == "Bankrupt")]
# Min-max scale predictors
scaled_predictors <- min_max_scale(predictors)
scaled_train_set <- cbind(scaled_predictors, Bankrupt = response)
# Remove near-zero variance predictors
nzv <- nearZeroVar(scaled_train_set, saveMetrics = TRUE)
if (any(nzv$nzv)) {
scaled_train_set <- scaled_train_set[, !nzv$nzv]
}
# Prepare data for glmnet
x <- as.matrix(scaled_train_set %>% dplyr::select(-Bankrupt))
y <- as.factor(scaled_train_set$Bankrupt)
# Create stratified folds
folds <- createFolds(y, k = k_folds, list = TRUE, returnTrain = TRUE)
# K-fold cross-validation for glmnet with Elastic Net
alphas <- seq(0, 1, by = 0.1) # Range of alpha values to test
best_alpha <- 0
best_lambda <- 0
min_cv_error <- Inf
best_fit <- NULL
for (alpha in alphas) {
cv_errors <- numeric(k_folds)
fits <- vector("list", k_folds)
for (i in seq_along(folds)) {
train_index <- folds[[i]]
x_train <- x[train_index, ]
y_train <- y[train_index]
x_test <- x[-train_index, ]
y_test <- y[-train_index]
suppressWarnings({fit <- cv.glmnet(x_train, y_train,
family = "binomial", alpha = alpha, nfolds = k_folds,
type.measure = "class")})
fits[[i]] <- fit
cv_errors[i] <- min(fit$cvm)
}
mean_cv_error <- mean(cv_errors)
if (mean_cv_error < min_cv_error) {
min_cv_error <- mean_cv_error
best_alpha <- alpha
best_lambda <- mean(sapply(fits, function(f) f$lambda.min))
best_fit <- fits[[which.min(cv_errors)]]
}
}
# Extract coefficients from the best model
suppressWarnings({final_model <- glmnet(x, y, family = "binomial", alpha = best_alpha, lambda = best_lambda, standardize = FALSE, intercept = TRUE)})
coef <- as.matrix(coef(final_model))
# Get variable names selected by Elastic Net and their coefficients
coef_df <- data.frame(variable = rownames(coef), coefficient = coef[, 1])
coef_df <- coef_df[coef_df$variable != "(Intercept)", ]
coef_df <- coef_df[order(abs(coef_df$coefficient), decreasing = TRUE), ]
# Select the top_n variables
selected_variables <- head(coef_df$variable, top_n)
return(list(selected_variables = selected_variables, best_alpha = best_alpha, best_lambda = best_lambda))
}
# Example usage
# Assuming train1 is your dataset and 'Bankrupt' is the response variable
result1 <- logistic_elasticnet_cv(train1[, c(1,2, 27:29, 34:105)])## Warning: glm.fit: algorithm did not converge## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurredresult2 <- logistic_elasticnet_cv(train2[, c(1,2, 27:29, 34:105)])## Warning: glm.fit: algorithm did not converge
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurredresult3 <- logistic_elasticnet_cv(train2[, c(1,2, 27:29, 34:105)])## Warning: glm.fit: algorithm did not converge
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurredresult4 <- logistic_elasticnet_cv(train2[, c(1,2, 27:29, 34:105)])## Warning: glm.fit: algorithm did not converge
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurredresult5 <- logistic_elasticnet_cv(train2[, c(1,2, 27:29, 34:105)])## Warning: glm.fit: algorithm did not converge
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurredmydf=cbind(sort(result1$selected_variables),
sort(result2$selected_variables),sort(result3$selected_variables),
sort(result4$selected_variables),sort(result5$selected_variables))
colnames(mydf)=c('50','60','70','80','90')
myprint(mydf)## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> 50 </th>
## <th style="text-align:left;"> 60 </th>
## <th style="text-align:left;"> 70 </th>
## <th style="text-align:left;"> 80 </th>
## <th style="text-align:left;"> 90 </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> AR_by_OpIncome.y.1. </td>
## <td style="text-align:left;"> AdjPxDays.y.1. </td>
## <td style="text-align:left;"> AdjPxDays.y.1. </td>
## <td style="text-align:left;"> AdjPxDays.y.1. </td>
## <td style="text-align:left;"> AdjPxDays.y.1. </td>
## </tr>
## <tr>
## <td style="text-align:left;"> BedUtil.y.1. </td>
## <td style="text-align:left;"> AdjPxDays.y.2. </td>
## <td style="text-align:left;"> AdjPxDays.y.2. </td>
## <td style="text-align:left;"> AdjPxDays.y.2. </td>
## <td style="text-align:left;"> AdjPxDays.y.2. </td>
## </tr>
## <tr>
## <td style="text-align:left;"> BedUtil.y.2. </td>
## <td style="text-align:left;"> AltmanX2.y.2. </td>
## <td style="text-align:left;"> AltmanX2.y.2. </td>
## <td style="text-align:left;"> AltmanX2.y.2. </td>
## <td style="text-align:left;"> AltmanX2.y.2. </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_BedUtil </td>
## <td style="text-align:left;"> AR_by_OpIncome.y.1. </td>
## <td style="text-align:left;"> AR_by_OpIncome.y.1. </td>
## <td style="text-align:left;"> AR_by_OpIncome.y.1. </td>
## <td style="text-align:left;"> AR_by_OpIncome.y.1. </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_Debt2Equity </td>
## <td style="text-align:left;"> AR_by_OpIncome.y.2. </td>
## <td style="text-align:left;"> AR_by_OpIncome.y.2. </td>
## <td style="text-align:left;"> AR_by_OpIncome.y.2. </td>
## <td style="text-align:left;"> AR_by_OpIncome.y.2. </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX1 </td>
## <td style="text-align:left;"> BedUtil.y.1. </td>
## <td style="text-align:left;"> BedUtil.y.1. </td>
## <td style="text-align:left;"> BedUtil.y.1. </td>
## <td style="text-align:left;"> BedUtil.y.1. </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX4 </td>
## <td style="text-align:left;"> BedUtil.y.2. </td>
## <td style="text-align:left;"> BedUtil.y.2. </td>
## <td style="text-align:left;"> BedUtil.y.2. </td>
## <td style="text-align:left;"> BedUtil.y.2. </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysCashOnHand.y.1. </td>
## <td style="text-align:left;"> D_LiabFundBalRatio </td>
## <td style="text-align:left;"> D_LiabFundBalRatio </td>
## <td style="text-align:left;"> D_LiabFundBalRatio </td>
## <td style="text-align:left;"> D_LiabFundBalRatio </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysCashOnHand.y.2. </td>
## <td style="text-align:left;"> D_OhlsonX4 </td>
## <td style="text-align:left;"> D_OhlsonX4 </td>
## <td style="text-align:left;"> D_OhlsonX4 </td>
## <td style="text-align:left;"> D_OhlsonX4 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Govt </td>
## <td style="text-align:left;"> DaysCashOnHand.y.1. </td>
## <td style="text-align:left;"> DaysCashOnHand.y.1. </td>
## <td style="text-align:left;"> DaysCashOnHand.y.1. </td>
## <td style="text-align:left;"> DaysCashOnHand.y.1. </td>
## </tr>
## <tr>
## <td style="text-align:left;"> HC4_5.y.1. </td>
## <td style="text-align:left;"> DaysCashOnHand.y.2. </td>
## <td style="text-align:left;"> DaysCashOnHand.y.2. </td>
## <td style="text-align:left;"> DaysCashOnHand.y.2. </td>
## <td style="text-align:left;"> DaysCashOnHand.y.2. </td>
## </tr>
## <tr>
## <td style="text-align:left;"> LaborCompRatio.y.1. </td>
## <td style="text-align:left;"> Govt </td>
## <td style="text-align:left;"> Govt </td>
## <td style="text-align:left;"> Govt </td>
## <td style="text-align:left;"> Govt </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX8.y.2. </td>
## <td style="text-align:left;"> HC4_5.y.1. </td>
## <td style="text-align:left;"> HC4_5.y.1. </td>
## <td style="text-align:left;"> HC4_5.y.1. </td>
## <td style="text-align:left;"> HC4_5.y.1. </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OpProfitMargin.y.1. </td>
## <td style="text-align:left;"> LaborCompRatio.y.1. </td>
## <td style="text-align:left;"> LaborCompRatio.y.1. </td>
## <td style="text-align:left;"> LaborCompRatio.y.1. </td>
## <td style="text-align:left;"> LaborCompRatio.y.1. </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Urban </td>
## <td style="text-align:left;"> OhlsonX1.y.2. </td>
## <td style="text-align:left;"> OhlsonX1.y.2. </td>
## <td style="text-align:left;"> OhlsonX1.y.2. </td>
## <td style="text-align:left;"> OhlsonX1.y.2. </td>
## </tr>
## </tbody>
## </table>M4a:BKFSST
btrain1=train1[,c(1,70,72,34,59,69, 87,100,68, 58, 41, 27,99)]
btrain2=train2[,c(1,70,72,34,59,69, 87,100,68, 58, 41,27, 99)]
btrain3=train3[,c(1,70,72,34,59,69, 87,100,68, 58, 41, 27,99)]
btrain4=train4[,c(1,70,72,34,59,69, 87,100,68, 58, 41, 27,99)]
btrain5=train5[,c(1,70,72,34,59,69, 87,100,68, 58, 41, 27,99)]
btest1=test1[,c(1,70,72,34,59,69, 87,100,68, 58, 41, 27,99)]
btest2=test2[,c(1,70,72,34,59,69, 87,100,68, 58, 41, 27,99)]
btest3=test3[,c(1,70,72,34,59,69, 87,100,68, 58, 41, 27,99)]
btest4=test4[,c(1,70,72,34,59,69, 87,100,68, 58, 41, 27,99)]
btest5=test5[,c(1,70,72,34,59,69, 87,100,68, 58, 41, 27,99)]
m4a_50=myGLMfit(btrain1,btest1)## Setting levels: control = 0, case = 1## Setting direction: controls < cases
m4a_60=myGLMfit(btrain2,btest2)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
m4a_70=myGLMfit(btrain3,btest3)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
m4a_80=myGLMfit(btrain4,btest4)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
m4a_90=myGLMfit(btrain5,btest5)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
# Create a list of your m4a_* objects
m4a_list <- list(m4a_50, m4a_60, m4a_70, m4a_80, m4a_90)
# Create a list of the models
m4a_modlist <- lapply(m4a_list, function(x) x$mod)
# Extract the confusion_matrix from each object
cm4a_list <- lapply(m4a_list, function(x) x$confusion_matrix)
# Use do.call to pass the confusion matrices as arguments to the mymetrics function
mymat4a <- do.call(mymetrics, cm4a_list)
# And for the coefficients
myCoefmat4a=do.call(mycoefs, m4a_list)
#And for the outliers
cooks_outliersm4a=outlength(m4a_50, m4a_60, m4a_70, m4a_80,m4a_90,6,1,6,2,4)
#And for the coefficient tables
m4a_coef_list<- lapply(seq_along(m4a_modlist), function(i) {
glm_summary(m4a_modlist[[i]])
})
names(m4a_coef_list) <- c("50%", "60%", "70%", "80%", "90%")
temp=cbind(mymat4a[, c(11, 5,6,7, 2,4, 12,13,14)],myCoefmat4a)
temp=as.data.frame(t(temp))M4a Output
# Print Accuracy metrics & Coefficients
myprint(temp)## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> </th>
## <th style="text-align:right;"> 50% </th>
## <th style="text-align:right;"> 60% </th>
## <th style="text-align:right;"> 70% </th>
## <th style="text-align:right;"> 80% </th>
## <th style="text-align:right;"> 90% </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> Balanced Accuracy </td>
## <td style="text-align:right;"> 0.7220000 </td>
## <td style="text-align:right;"> 0.7370000 </td>
## <td style="text-align:right;"> 0.6200000 </td>
## <td style="text-align:right;"> 0.7480000 </td>
## <td style="text-align:right;"> 0.7890000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Precision </td>
## <td style="text-align:right;"> 0.0750000 </td>
## <td style="text-align:right;"> 0.0720000 </td>
## <td style="text-align:right;"> 0.0520000 </td>
## <td style="text-align:right;"> 0.0700000 </td>
## <td style="text-align:right;"> 0.1090000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Recall </td>
## <td style="text-align:right;"> 0.6060000 </td>
## <td style="text-align:right;"> 0.6540000 </td>
## <td style="text-align:right;"> 0.4000000 </td>
## <td style="text-align:right;"> 0.6920000 </td>
## <td style="text-align:right;"> 0.7140000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> F1 </td>
## <td style="text-align:right;"> 0.1340000 </td>
## <td style="text-align:right;"> 0.1300000 </td>
## <td style="text-align:right;"> 0.0920000 </td>
## <td style="text-align:right;"> 0.1280000 </td>
## <td style="text-align:right;"> 0.1890000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Specificity </td>
## <td style="text-align:right;"> 0.8380000 </td>
## <td style="text-align:right;"> 0.8190000 </td>
## <td style="text-align:right;"> 0.8400000 </td>
## <td style="text-align:right;"> 0.8040000 </td>
## <td style="text-align:right;"> 0.8650000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Neg Pred Value </td>
## <td style="text-align:right;"> 0.9900000 </td>
## <td style="text-align:right;"> 0.9910000 </td>
## <td style="text-align:right;"> 0.9850000 </td>
## <td style="text-align:right;"> 0.9920000 </td>
## <td style="text-align:right;"> 0.9920000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AUC </td>
## <td style="text-align:right;"> 0.8180000 </td>
## <td style="text-align:right;"> 0.8330000 </td>
## <td style="text-align:right;"> 0.7930000 </td>
## <td style="text-align:right;"> 0.8600000 </td>
## <td style="text-align:right;"> 0.8890000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PR_AUC </td>
## <td style="text-align:right;"> 0.0960000 </td>
## <td style="text-align:right;"> 0.0730000 </td>
## <td style="text-align:right;"> 0.0660000 </td>
## <td style="text-align:right;"> 0.2000000 </td>
## <td style="text-align:right;"> 0.0940000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> MISS </td>
## <td style="text-align:right;"> 0.1670000 </td>
## <td style="text-align:right;"> 0.1840000 </td>
## <td style="text-align:right;"> 0.1690000 </td>
## <td style="text-align:right;"> 0.1990000 </td>
## <td style="text-align:right;"> 0.1390000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> (Intercept) </td>
## <td style="text-align:right;"> 2.3884813 </td>
## <td style="text-align:right;"> 4.1947958 </td>
## <td style="text-align:right;"> 3.0683647 </td>
## <td style="text-align:right;"> 3.1749521 </td>
## <td style="text-align:right;"> 3.3057715 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AdjPxDays.y.2. </td>
## <td style="text-align:right;"> -0.0649739 </td>
## <td style="text-align:right;"> -0.0719036 </td>
## <td style="text-align:right;"> -0.1158212 </td>
## <td style="text-align:right;"> -0.0763053 </td>
## <td style="text-align:right;"> -0.1099318 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX2.y.2. </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AR_by_OpIncome.y.1. </td>
## <td style="text-align:right;"> -0.3463171 </td>
## <td style="text-align:right;"> -0.2830719 </td>
## <td style="text-align:right;"> -0.4356055 </td>
## <td style="text-align:right;"> -0.3733881 </td>
## <td style="text-align:right;"> -0.3615601 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AR_by_OpIncome.y.2. </td>
## <td style="text-align:right;"> -0.1407963 </td>
## <td style="text-align:right;"> -0.3664868 </td>
## <td style="text-align:right;"> -0.2571433 </td>
## <td style="text-align:right;"> -0.0951534 </td>
## <td style="text-align:right;"> -0.2135306 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> BedUtil.y.2. </td>
## <td style="text-align:right;"> -4.8668635 </td>
## <td style="text-align:right;"> -5.3021739 </td>
## <td style="text-align:right;"> -3.0582944 </td>
## <td style="text-align:right;"> -3.7743387 </td>
## <td style="text-align:right;"> -3.8188326 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_LiabFundBalRatio </td>
## <td style="text-align:right;"> -0.0136857 </td>
## <td style="text-align:right;"> -0.1618917 </td>
## <td style="text-align:right;"> -0.1146068 </td>
## <td style="text-align:right;"> -0.0060875 </td>
## <td style="text-align:right;"> -0.0141788 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX4 </td>
## <td style="text-align:right;"> 0.5050469 </td>
## <td style="text-align:right;"> 0.0969347 </td>
## <td style="text-align:right;"> 0.1814974 </td>
## <td style="text-align:right;"> 0.1501851 </td>
## <td style="text-align:right;"> 0.1715612 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysCashOnHand.y.2. </td>
## <td style="text-align:right;"> -0.0070580 </td>
## <td style="text-align:right;"> -0.0105382 </td>
## <td style="text-align:right;"> -0.0025602 </td>
## <td style="text-align:right;"> -0.0047404 </td>
## <td style="text-align:right;"> -0.0040540 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> HC4_5.y.1. </td>
## <td style="text-align:right;"> -4.8623207 </td>
## <td style="text-align:right;"> -2.9804679 </td>
## <td style="text-align:right;"> -3.6805986 </td>
## <td style="text-align:right;"> -3.6204101 </td>
## <td style="text-align:right;"> -3.4806496 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> LaborCompRatio.y.1. </td>
## <td style="text-align:right;"> 4.1064366 </td>
## <td style="text-align:right;"> 1.7642232 </td>
## <td style="text-align:right;"> 2.5161194 </td>
## <td style="text-align:right;"> 1.8060222 </td>
## <td style="text-align:right;"> 1.9603326 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Govt </td>
## <td style="text-align:right;"> -5.5378741 </td>
## <td style="text-align:right;"> -3.1232777 </td>
## <td style="text-align:right;"> -4.4608066 </td>
## <td style="text-align:right;"> -3.3722167 </td>
## <td style="text-align:right;"> -4.2558899 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX2 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## </tr>
## </tbody>
## </table># Define the labels for each plot
labels <- c("M4a 50%", "M4a 60%", "M4a 70%", "M4a 80%", "M4a 90%")
#cm_list <- list(cm4a_50, cm4a_60, cm4a_70, cm4a_80, cm4a_90)
# Apply the confusion_matrix_to_df and plot_confusion_matrix functions in sequence
plot_list <- lapply(seq_along(cm4a_list), function(i) {
df <- confusion_matrix_to_df(cm4a_list[[i]])
plot_confusion_matrix(df, labels[i])
})
# Assign each plot to a specific variable if needed
M4aplot1 <- plot_list[[1]]
M4aplot2 <- plot_list[[2]]
M4aplot3 <- plot_list[[3]]
M4aplot4 <- plot_list[[4]]
M4aplot5 <- plot_list[[5]]
# Arrange the plots side by side
grid.arrange(M4aplot1, M4aplot2, M4aplot3, M4aplot4, M4aplot5, ncol = 3)
# Removed Outliers
myprint(cooks_outliersm4a)## [1] 7 2 12 2 4# Print Coefficient Tables
myprint(m4a_coef_list)## $`50%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 2.388 0.333 7.166 0.000 10.892 NA
## AdjPxDays.y.2. -0.065 0.017 -3.757 0.000 0.937 1.434
## AltmanX2.y.2. 0.000 0.000 1.137 0.256 1.000 1.009
## AR_by_OpIncome.y.1. -0.346 0.035 -9.792 0.000 0.708 1.745
## AR_by_OpIncome.y.2. -0.141 0.036 -3.868 0.000 0.868 1.529
## BedUtil.y.2. -4.867 0.435 -11.200 0.000 0.008 1.777
## D_LiabFundBalRatio -0.014 0.013 -1.015 0.310 0.986 1.053
## D_OhlsonX4 0.505 0.056 9.001 0.000 1.657 1.064
## DaysCashOnHand.y.2. -0.007 0.001 -4.711 0.000 0.993 1.098
## HC4_5.y.1. -4.862 0.384 -12.646 0.000 0.008 1.05
## LaborCompRatio.y.1. 4.106 0.567 7.243 0.000 60.703 2.002
## Govt -5.538 0.436 -12.711 0.000 0.004 1.243
## D_OhlsonX2 0.000 0.000 -0.150 0.881 1.000 1.007
##
## $`60%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 4.195 0.342 12.261 0.000 66.354 NA
## AdjPxDays.y.2. -0.072 0.016 -4.618 0.000 0.931 1.483
## AltmanX2.y.2. 0.000 0.000 1.168 0.243 1.000 1.003
## AR_by_OpIncome.y.1. -0.283 0.030 -9.361 0.000 0.754 1.411
## AR_by_OpIncome.y.2. -0.366 0.031 -11.713 0.000 0.694 1.426
## BedUtil.y.2. -5.302 0.399 -13.286 0.000 0.005 1.646
## D_LiabFundBalRatio -0.162 0.030 -5.313 0.000 0.850 1.062
## D_OhlsonX4 0.097 0.016 6.105 0.000 1.102 1.061
## DaysCashOnHand.y.2. -0.011 0.001 -7.628 0.000 0.989 1.052
## HC4_5.y.1. -2.980 0.181 -16.476 0.000 0.051 1.076
## LaborCompRatio.y.1. 1.764 0.494 3.573 0.000 5.836 1.513
## Govt -3.123 0.215 -14.509 0.000 0.044 1.271
## D_OhlsonX2 0.000 0.000 -3.097 0.002 1.000 1.027
##
## $`70%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 3.068 0.294 10.448 0.000 21.499 NA
## AdjPxDays.y.2. -0.116 0.015 -7.797 0.000 0.890 1.44
## AltmanX2.y.2. 0.000 0.000 1.282 0.200 1.000 1.002
## AR_by_OpIncome.y.1. -0.436 0.030 -14.745 0.000 0.647 1.433
## AR_by_OpIncome.y.2. -0.257 0.029 -8.913 0.000 0.773 1.32
## BedUtil.y.2. -3.058 0.354 -8.648 0.000 0.047 1.646
## D_LiabFundBalRatio -0.115 0.030 -3.860 0.000 0.891 1.083
## D_OhlsonX4 0.181 0.033 5.532 0.000 1.198 1.081
## DaysCashOnHand.y.2. -0.003 0.001 -2.545 0.011 0.997 1.034
## HC4_5.y.1. -3.681 0.209 -17.604 0.000 0.025 1.063
## LaborCompRatio.y.1. 2.516 0.440 5.718 0.000 12.379 1.597
## Govt -4.461 0.288 -15.489 0.000 0.012 1.198
## D_OhlsonX2 0.000 0.000 -0.161 0.872 1.000 1.001
##
## $`80%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 3.175 0.253 12.565 0.000 23.927 NA
## AdjPxDays.y.2. -0.076 0.011 -6.964 0.000 0.927 1.403
## AltmanX2.y.2. 0.000 0.000 1.467 0.142 1.000 1.003
## AR_by_OpIncome.y.1. -0.373 0.026 -14.622 0.000 0.689 1.806
## AR_by_OpIncome.y.2. -0.095 0.025 -3.732 0.000 0.909 1.792
## BedUtil.y.2. -3.774 0.287 -13.129 0.000 0.023 1.518
## D_LiabFundBalRatio -0.006 0.001 -4.329 0.000 0.994 1.015
## D_OhlsonX4 0.150 0.023 6.478 0.000 1.162 1.039
## DaysCashOnHand.y.2. -0.005 0.001 -4.738 0.000 0.995 1.059
## HC4_5.y.1. -3.620 0.189 -19.146 0.000 0.027 1.05
## LaborCompRatio.y.1. 1.806 0.381 4.744 0.000 6.086 1.767
## Govt -3.372 0.201 -16.793 0.000 0.034 1.181
## D_OhlsonX2 0.000 0.000 -1.151 0.250 1.000 1.023
##
## $`90%`
## Estimate Std. Error z value Pr(>|z|) Odds vif
## (Intercept) 3.306 0.245 13.476 0.000 27.276 NA
## AdjPxDays.y.2. -0.110 0.013 -8.201 0.000 0.896 1.515
## AltmanX2.y.2. 0.000 0.000 1.266 0.206 1.000 1.003
## AR_by_OpIncome.y.1. -0.362 0.024 -14.804 0.000 0.696 1.532
## AR_by_OpIncome.y.2. -0.214 0.025 -8.573 0.000 0.807 1.528
## BedUtil.y.2. -3.819 0.304 -12.575 0.000 0.022 1.617
## D_LiabFundBalRatio -0.014 0.005 -3.108 0.002 0.986 1.009
## D_OhlsonX4 0.172 0.023 7.427 0.000 1.188 1.053
## DaysCashOnHand.y.2. -0.004 0.001 -4.282 0.000 0.996 1.042
## HC4_5.y.1. -3.481 0.181 -19.258 0.000 0.031 1.037
## LaborCompRatio.y.1. 1.960 0.390 5.026 0.000 7.099 1.643
## Govt -4.256 0.247 -17.265 0.000 0.014 1.167
## D_OhlsonX2 0.000 0.000 -1.611 0.107 1.000 1.016M4b BRKFSST
# Initially higher repetitions to verify convergence...
# Now, only one repetition with starting weights IVO optimal weights.
# Speeds up knitting
m4b_50 <- myPerceptronFit(btrain1,btest1)## hidden: 1 thresh: 0.01 rep: 1/1 steps: 309458 error: 226.9748 time: 3.2 mins
## Setting levels: control = 0, case = 1
## Setting direction: controls < casesm4b_60 <- myPerceptronFit(btrain2,btest2)## hidden: 1 thresh: 0.01 rep: 1/1 steps: 1223208 error: 270.3246 time: 14.51 mins
## Setting levels: control = 0, case = 1
## Setting direction: controls < casesm4b_70 <- myPerceptronFit(btrain3,btest3)## hidden: 1 thresh: 0.01 rep: 1/1 steps: 2798576 error: 312.25042 time: 40.11 mins
## Setting levels: control = 0, case = 1
## Setting direction: controls < casesm4b_80 <- myPerceptronFit(btrain4,btest4)## hidden: 1 thresh: 0.01 rep: 1/1 steps: 18694 error: 373.04766 time: 19.42 secs
## Setting levels: control = 0, case = 1
## Setting direction: controls < casesm4b_90 <- myPerceptronFit(btrain5,btest5)## hidden: 1 thresh: 0.01 rep: 1/1 steps: 1253365 error: 397.27569 time: 20.09 mins
## Setting levels: control = 0, case = 1
## Setting direction: controls < casescm4b_50 = m4b_50$confusion_matrix
cm4b_60 = m4b_60$confusion_matrix
cm4b_70 = m4b_70$confusion_matrix
cm4b_80 = m4b_80$confusion_matrix
cm4b_90 = m4b_90$confusion_matrix
mymat4b=rbind(cm4b_50$byClass,cm4b_60$byClass,cm4b_70$byClass,cm4b_80$byClass, cm4b_90$byClass)
colnames(mymat4b)=names(cm4b_50$byClass)
rownames(mymat4b)=c('50%', '60%', '70%', '80%', '90%')
myCoefmat4b=rbind(
m4b_50$coefficients$weight,
m4b_60$coefficients$weight,
m4b_70$coefficients$weight,
m4b_80$coefficients$weight,
m4b_90$coefficients$weight )
rownames(myCoefmat4b)=c('50%', '60%', '70%', '80%', '90%')
colnames(myCoefmat4b)=m4b_50$coefficients$variable
temp=cbind(mymat4b[, c(11, 5,6,7, 2,4, 12,13,14)],myCoefmat4b)
temp=as.data.frame(t(temp))M4b Output
# Print Accuracy metrics & Coefficients
myprint(temp)## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> </th>
## <th style="text-align:right;"> 50% </th>
## <th style="text-align:right;"> 60% </th>
## <th style="text-align:right;"> 70% </th>
## <th style="text-align:right;"> 80% </th>
## <th style="text-align:right;"> 90% </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> Balanced Accuracy </td>
## <td style="text-align:right;"> 0.5006609 </td>
## <td style="text-align:right;"> 0.5796386 </td>
## <td style="text-align:right;"> 0.4983480 </td>
## <td style="text-align:right;"> 0.6311881 </td>
## <td style="text-align:right;"> 0.5033003 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Precision </td>
## <td style="text-align:right;"> 0.0213731 </td>
## <td style="text-align:right;"> 0.1111111 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0282609 </td>
## <td style="text-align:right;"> 0.0227273 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Recall </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 0.1923077 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> F1 </td>
## <td style="text-align:right;"> 0.0418516 </td>
## <td style="text-align:right;"> 0.1408451 </td>
## <td style="text-align:right;"> NaN </td>
## <td style="text-align:right;"> 0.0549683 </td>
## <td style="text-align:right;"> 0.0444444 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Specificity </td>
## <td style="text-align:right;"> 0.0013219 </td>
## <td style="text-align:right;"> 0.9669694 </td>
## <td style="text-align:right;"> 0.9966960 </td>
## <td style="text-align:right;"> 0.2623762 </td>
## <td style="text-align:right;"> 0.0066007 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Neg Pred Value </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 0.9823826 </td>
## <td style="text-align:right;"> 0.9783784 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AUC </td>
## <td style="text-align:right;"> 0.8351359 </td>
## <td style="text-align:right;"> 0.8194753 </td>
## <td style="text-align:right;"> 0.8062225 </td>
## <td style="text-align:right;"> 0.8729373 </td>
## <td style="text-align:right;"> 0.9047619 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PR_AUC </td>
## <td style="text-align:right;"> 0.1110211 </td>
## <td style="text-align:right;"> 0.0757859 </td>
## <td style="text-align:right;"> 0.0893348 </td>
## <td style="text-align:right;"> 0.1143025 </td>
## <td style="text-align:right;"> 0.1425667 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> MISS </td>
## <td style="text-align:right;"> 0.9773609 </td>
## <td style="text-align:right;"> 0.0493129 </td>
## <td style="text-align:right;"> 0.0247845 </td>
## <td style="text-align:right;"> 0.7221325 </td>
## <td style="text-align:right;"> 0.9709677 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Bias_Hidden </td>
## <td style="text-align:right;"> -7.8994957 </td>
## <td style="text-align:right;"> 24.2527252 </td>
## <td style="text-align:right;"> 22.3159087 </td>
## <td style="text-align:right;"> 9.0465313 </td>
## <td style="text-align:right;"> 1.2052335 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AdjPxDays.y.2. </td>
## <td style="text-align:right;"> -0.1293699 </td>
## <td style="text-align:right;"> -0.1179902 </td>
## <td style="text-align:right;"> -0.6819531 </td>
## <td style="text-align:right;"> -0.3920861 </td>
## <td style="text-align:right;"> -0.4325712 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX2.y.2. </td>
## <td style="text-align:right;"> 0.7205154 </td>
## <td style="text-align:right;"> 0.8902395 </td>
## <td style="text-align:right;"> 1.0033848 </td>
## <td style="text-align:right;"> 0.9172652 </td>
## <td style="text-align:right;"> 0.8136458 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AR_by_OpIncome.y.1. </td>
## <td style="text-align:right;"> -0.4152272 </td>
## <td style="text-align:right;"> -0.3424541 </td>
## <td style="text-align:right;"> -0.5391484 </td>
## <td style="text-align:right;"> -0.5143990 </td>
## <td style="text-align:right;"> -0.4716638 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AR_by_OpIncome.y.2. </td>
## <td style="text-align:right;"> -0.1921609 </td>
## <td style="text-align:right;"> -0.5009750 </td>
## <td style="text-align:right;"> -0.3567485 </td>
## <td style="text-align:right;"> -0.2327519 </td>
## <td style="text-align:right;"> -0.3783121 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> BedUtil.y.2. </td>
## <td style="text-align:right;"> -0.9753447 </td>
## <td style="text-align:right;"> -1.2131817 </td>
## <td style="text-align:right;"> -0.7853494 </td>
## <td style="text-align:right;"> -1.0621669 </td>
## <td style="text-align:right;"> -1.0753817 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_LiabFundBalRatio </td>
## <td style="text-align:right;"> -2.0427732 </td>
## <td style="text-align:right;"> -26.6816095 </td>
## <td style="text-align:right;"> -39.5700415 </td>
## <td style="text-align:right;"> -20.2463057 </td>
## <td style="text-align:right;"> -12.0886481 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX4 </td>
## <td style="text-align:right;"> 38.1231575 </td>
## <td style="text-align:right;"> 2.2583321 </td>
## <td style="text-align:right;"> 23.0890375 </td>
## <td style="text-align:right;"> 19.8045848 </td>
## <td style="text-align:right;"> 19.5664858 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysCashOnHand.y.2. </td>
## <td style="text-align:right;"> -0.7074350 </td>
## <td style="text-align:right;"> -1.3089164 </td>
## <td style="text-align:right;"> -0.1730871 </td>
## <td style="text-align:right;"> -1.2351621 </td>
## <td style="text-align:right;"> -1.1493398 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> HC4_5.y.1. </td>
## <td style="text-align:right;"> -0.4149513 </td>
## <td style="text-align:right;"> -0.3663401 </td>
## <td style="text-align:right;"> -0.3839929 </td>
## <td style="text-align:right;"> -0.4120330 </td>
## <td style="text-align:right;"> -0.3595441 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> LaborCompRatio.y.1. </td>
## <td style="text-align:right;"> 1.8555721 </td>
## <td style="text-align:right;"> 1.4306833 </td>
## <td style="text-align:right;"> 1.9716749 </td>
## <td style="text-align:right;"> 1.4303415 </td>
## <td style="text-align:right;"> 1.5410689 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Govt </td>
## <td style="text-align:right;"> -0.5875698 </td>
## <td style="text-align:right;"> -0.5225047 </td>
## <td style="text-align:right;"> -0.6126743 </td>
## <td style="text-align:right;"> -0.5805016 </td>
## <td style="text-align:right;"> -0.5790187 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX2 </td>
## <td style="text-align:right;"> 0.3582969 </td>
## <td style="text-align:right;"> -0.2819641 </td>
## <td style="text-align:right;"> 0.0533590 </td>
## <td style="text-align:right;"> 0.3427715 </td>
## <td style="text-align:right;"> 0.0718028 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Hidden_to_Output </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Bias_Output </td>
## <td style="text-align:right;"> 0.0000100 </td>
## <td style="text-align:right;"> 0.0000100 </td>
## <td style="text-align:right;"> 0.0000100 </td>
## <td style="text-align:right;"> 0.0000100 </td>
## <td style="text-align:right;"> 0.0000100 </td>
## </tr>
## </tbody>
## </table>df1 <- confusion_matrix_to_df(cm4b_50)
df2 <- confusion_matrix_to_df(cm4b_60)
df3 <- confusion_matrix_to_df(cm4b_70)
df4 <- confusion_matrix_to_df(cm4b_80)
df5 <- confusion_matrix_to_df(cm4b_90)
# Create individual plots
pdf(NULL)
M4bplot1 <- plot_confusion_matrix(df1, "M4b 50%")
M4bplot2 <- plot_confusion_matrix(df2, "M4b 60%")
M4bplot3 <- plot_confusion_matrix(df3, "M4b 70%")
M4bplot4 <- plot_confusion_matrix(df4, "M4b 80%")
M4bplot5 <- plot_confusion_matrix(df5, "M4b 90%")
dev.off()## png
## 2# Arrange the plots side by side
grid.arrange(M4bplot1, M4bplot2, M4bplot3, M4bplot4, M4bplot5, ncol = 3)
M4c BRKFSST
m4c_50 <- mySVMFit(btrain1,btest1)## Setting default kernel parametersm4c_60 <- mySVMFit(btrain2,btest2)## Setting default kernel parametersm4c_70 <- mySVMFit(btrain3,btest3)## Setting default kernel parametersm4c_80 <- mySVMFit(btrain4,btest4)## Setting default kernel parametersm4c_90 <- mySVMFit(btrain5,btest5)## Setting default kernel parameterscm4c_50 = m4c_50$confusion_matrix
cm4c_60 = m4c_60$confusion_matrix
cm4c_70 = m4c_70$confusion_matrix
cm4c_80 = m4c_80$confusion_matrix
cm4c_90 = m4c_90$confusion_matrix
mymat4c=rbind(cm4c_50$byClass,cm4c_60$byClass,cm4c_70$byClass,cm4c_80$byClass, cm4c_90$byClass)
colnames(mymat4c)=names(cm4c_50$byClass)
rownames(mymat4c)=c('50%', '60%', '70%', '80%', '90%')
myCoefmat4c=rbind(m4c_50$coefficients,m4c_60$coefficients,m4c_70$coefficients,m4c_80$coefficients,m4c_90$coefficients )
rownames(myCoefmat4c)=c('50%', '60%', '70%', '80%', '90%')
temp=cbind(mymat4c[, c(11, 5,6,7, 2,4, 12,13,14)],myCoefmat4c)
temp=as.data.frame(t(temp))M4c Output
# Print Accuracy metrics & Coefficients
myprint(temp)## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> </th>
## <th style="text-align:right;"> 50% </th>
## <th style="text-align:right;"> 60% </th>
## <th style="text-align:right;"> 70% </th>
## <th style="text-align:right;"> 80% </th>
## <th style="text-align:right;"> 90% </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> Balanced Accuracy </td>
## <td style="text-align:right;"> 0.9133034 </td>
## <td style="text-align:right;"> 0.5000000 </td>
## <td style="text-align:right;"> 0.5000000 </td>
## <td style="text-align:right;"> 0.9516908 </td>
## <td style="text-align:right;"> 0.8314607 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Precision </td>
## <td style="text-align:right;"> 0.0569106 </td>
## <td style="text-align:right;"> NA </td>
## <td style="text-align:right;"> NA </td>
## <td style="text-align:right;"> 0.1666667 </td>
## <td style="text-align:right;"> 0.1428571 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Recall </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 0.0000000 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> F1 </td>
## <td style="text-align:right;"> 0.1076923 </td>
## <td style="text-align:right;"> NA </td>
## <td style="text-align:right;"> NA </td>
## <td style="text-align:right;"> 0.2857143 </td>
## <td style="text-align:right;"> 0.2500000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Specificity </td>
## <td style="text-align:right;"> 0.8266069 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 0.9033816 </td>
## <td style="text-align:right;"> 0.6629213 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Neg Pred Value </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 0.9843614 </td>
## <td style="text-align:right;"> 0.9855453 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## <td style="text-align:right;"> 1.0000000 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AUC </td>
## <td style="text-align:right;"> 0.1955273 </td>
## <td style="text-align:right;"> 0.4764784 </td>
## <td style="text-align:right;"> 0.4227366 </td>
## <td style="text-align:right;"> 0.1684723 </td>
## <td style="text-align:right;"> 0.1143184 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PR_AUC </td>
## <td style="text-align:right;"> 0.0536100 </td>
## <td style="text-align:right;"> 0.0459143 </td>
## <td style="text-align:right;"> 0.0542787 </td>
## <td style="text-align:right;"> 0.1113297 </td>
## <td style="text-align:right;"> 0.1270874 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> MISS </td>
## <td style="text-align:right;"> 0.1715976 </td>
## <td style="text-align:right;"> 0.0156386 </td>
## <td style="text-align:right;"> 0.0144547 </td>
## <td style="text-align:right;"> 0.0947867 </td>
## <td style="text-align:right;"> 0.3191489 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AdjPxDays.y.2. </td>
## <td style="text-align:right;"> -2.7411036 </td>
## <td style="text-align:right;"> -3.1104845 </td>
## <td style="text-align:right;"> -4.4792296 </td>
## <td style="text-align:right;"> -3.8651604 </td>
## <td style="text-align:right;"> -6.0631724 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX2.y.2. </td>
## <td style="text-align:right;"> 1.1188998 </td>
## <td style="text-align:right;"> 0.9976049 </td>
## <td style="text-align:right;"> 1.7996576 </td>
## <td style="text-align:right;"> 1.5175117 </td>
## <td style="text-align:right;"> 1.5831505 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AR_by_OpIncome.y.1. </td>
## <td style="text-align:right;"> -2.4695263 </td>
## <td style="text-align:right;"> -1.7343305 </td>
## <td style="text-align:right;"> -2.4253512 </td>
## <td style="text-align:right;"> -2.6495517 </td>
## <td style="text-align:right;"> -2.1850164 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AR_by_OpIncome.y.2. </td>
## <td style="text-align:right;"> -1.2972133 </td>
## <td style="text-align:right;"> -2.2165659 </td>
## <td style="text-align:right;"> -1.7926779 </td>
## <td style="text-align:right;"> -0.5423880 </td>
## <td style="text-align:right;"> -1.3640064 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> BedUtil.y.2. </td>
## <td style="text-align:right;"> -3.4755861 </td>
## <td style="text-align:right;"> -3.7777858 </td>
## <td style="text-align:right;"> -2.5327191 </td>
## <td style="text-align:right;"> -2.6482459 </td>
## <td style="text-align:right;"> -2.5035820 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_LiabFundBalRatio </td>
## <td style="text-align:right;"> 0.5814118 </td>
## <td style="text-align:right;"> -2.0078417 </td>
## <td style="text-align:right;"> -2.2477833 </td>
## <td style="text-align:right;"> -2.2463434 </td>
## <td style="text-align:right;"> -2.7077384 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX4 </td>
## <td style="text-align:right;"> 3.2431349 </td>
## <td style="text-align:right;"> 4.5205421 </td>
## <td style="text-align:right;"> 3.8614366 </td>
## <td style="text-align:right;"> 3.4384279 </td>
## <td style="text-align:right;"> 6.0487170 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysCashOnHand.y.2. </td>
## <td style="text-align:right;"> -3.1553359 </td>
## <td style="text-align:right;"> -3.0255366 </td>
## <td style="text-align:right;"> -1.5381983 </td>
## <td style="text-align:right;"> -3.0839897 </td>
## <td style="text-align:right;"> -2.4430762 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> HC4_5.y.1. </td>
## <td style="text-align:right;"> -3.2946336 </td>
## <td style="text-align:right;"> -2.0648428 </td>
## <td style="text-align:right;"> -2.5549495 </td>
## <td style="text-align:right;"> -2.6084207 </td>
## <td style="text-align:right;"> -2.4518569 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> LaborCompRatio.y.1. </td>
## <td style="text-align:right;"> 2.3463861 </td>
## <td style="text-align:right;"> 0.7070509 </td>
## <td style="text-align:right;"> 2.1974333 </td>
## <td style="text-align:right;"> 0.9651402 </td>
## <td style="text-align:right;"> 1.6096245 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Govt </td>
## <td style="text-align:right;"> -3.6954975 </td>
## <td style="text-align:right;"> -2.0222733 </td>
## <td style="text-align:right;"> -3.1098618 </td>
## <td style="text-align:right;"> -2.7755387 </td>
## <td style="text-align:right;"> -3.0617442 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> D_OhlsonX2 </td>
## <td style="text-align:right;"> -0.5265411 </td>
## <td style="text-align:right;"> -0.5773482 </td>
## <td style="text-align:right;"> -0.0067841 </td>
## <td style="text-align:right;"> -0.3452152 </td>
## <td style="text-align:right;"> -0.5535467 </td>
## </tr>
## </tbody>
## </table>df1 <- confusion_matrix_to_df(cm4c_50)
df2 <- confusion_matrix_to_df(cm4c_60)
df3 <- confusion_matrix_to_df(cm4c_70)
df4 <- confusion_matrix_to_df(cm4c_80)
df5 <- confusion_matrix_to_df(cm4c_90)
# Create individual plots
M4cplot1 <- plot_confusion_matrix(df1, "M4c 50%")
M4cplot2 <- plot_confusion_matrix(df2, "M4c 60%")
M4cplot3 <- plot_confusion_matrix(df3, "M4c 70%")
M4cplot4 <- plot_confusion_matrix(df4, "M4c 80%")
M4cplot5 <- plot_confusion_matrix(df5, "M4c 90%")
# Arrange the plots side by side
grid.arrange(M4cplot1, M4cplot2, M4cplot3, M4cplot4, M4cplot5, ncol = 3)
M4d BRKFSST
Unique Variable Decision Tree (UVDT)
# Example usage
m4d_50<- fit_decision_tree(btrain1, btest1)
## Setting levels: control = 0, case = 1## Setting direction: controls < cases## n= 3026
##
## node), split, n, loss, yval, (yprob)
## * denotes terminal node
##
## 1) root 3026 1513 0 (0.50000000 0.50000000)
## 2) AR_by_OpIncome.y.2.< 0.5 926 124 0 (0.86609071 0.13390929) *
## 3) AR_by_OpIncome.y.2.>=0.5 2100 711 1 (0.33857143 0.66142857)
## 6) HC4_5.y.1.< 0.5 232 9 0 (0.96120690 0.03879310) *
## 7) HC4_5.y.1.>=0.5 1868 488 1 (0.26124197 0.73875803)
## 14) AdjPxDays.y.2.< 0.5 184 21 0 (0.88586957 0.11413043) *
## 15) AdjPxDays.y.2.>=0.5 1684 325 1 (0.19299287 0.80700713)
## 30) Govt< 0.5 93 6 0 (0.93548387 0.06451613) *
## 31) Govt>=0.5 1591 238 1 (0.14959145 0.85040855) *m4d_60<- fit_decision_tree(btrain2, btest2)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases## n= 3630
##
## node), split, n, loss, yval, (yprob)
## * denotes terminal node
##
## 1) root 3630 1815 0 (0.50000000 0.50000000)
## 2) AR_by_OpIncome.y.2.< 0.5 1493 305 0 (0.79571333 0.20428667)
## 4) D_LiabFundBalRatio< 0.5 1303 186 0 (0.85725249 0.14274751) *
## 5) D_LiabFundBalRatio>=0.5 190 71 1 (0.37368421 0.62631579)
## 10) HC4_5.y.1.< 0.5 24 0 0 (1.00000000 0.00000000) *
## 11) HC4_5.y.1.>=0.5 166 47 1 (0.28313253 0.71686747) *
## 3) AR_by_OpIncome.y.2.>=0.5 2137 627 1 (0.29340197 0.70659803)
## 6) AdjPxDays.y.2.< 0.5 359 79 0 (0.77994429 0.22005571) *
## 7) AdjPxDays.y.2.>=0.5 1778 347 1 (0.19516310 0.80483690)
## 14) D_OhlsonX2>=0.5 545 229 1 (0.42018349 0.57981651)
## 28) HC4_5.y.1.< 0.5 82 8 0 (0.90243902 0.09756098) *
## 29) HC4_5.y.1.>=0.5 463 155 1 (0.33477322 0.66522678)
## 58) BedUtil.y.2.< 0.5 108 44 0 (0.59259259 0.40740741) *
## 59) BedUtil.y.2.>=0.5 355 91 1 (0.25633803 0.74366197) *
## 15) D_OhlsonX2< 0.5 1233 118 1 (0.09570154 0.90429846) *m4d_70<- fit_decision_tree(btrain3, btest3)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases## n= 4236
##
## node), split, n, loss, yval, (yprob)
## * denotes terminal node
##
## 1) root 4236 2118 0 (0.50000000 0.50000000)
## 2) AR_by_OpIncome.y.2.< 0.5 1176 113 0 (0.90391156 0.09608844) *
## 3) AR_by_OpIncome.y.2.>=0.5 3060 1055 1 (0.34477124 0.65522876)
## 6) HC4_5.y.1.< 0.5 378 36 0 (0.90476190 0.09523810) *
## 7) HC4_5.y.1.>=0.5 2682 713 1 (0.26584638 0.73415362)
## 14) AdjPxDays.y.2.< 0.5 307 54 0 (0.82410423 0.17589577) *
## 15) AdjPxDays.y.2.>=0.5 2375 460 1 (0.19368421 0.80631579)
## 30) Govt< 0.5 127 19 0 (0.85039370 0.14960630) *
## 31) Govt>=0.5 2248 352 1 (0.15658363 0.84341637) *m4d_80 <- fit_decision_tree(btrain4, btest4)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases## n= 4840
##
## node), split, n, loss, yval, (yprob)
## * denotes terminal node
##
## 1) root 4840 2420 0 (0.50000000 0.50000000)
## 2) HC4_5.y.1.< 0.5 931 42 0 (0.95488722 0.04511278) *
## 3) HC4_5.y.1.>=0.5 3909 1531 1 (0.39166027 0.60833973)
## 6) AR_by_OpIncome.y.1.< 0.5 939 237 0 (0.74760383 0.25239617)
## 12) BedUtil.y.2.< 0.5 508 47 0 (0.90748031 0.09251969) *
## 13) BedUtil.y.2.>=0.5 431 190 0 (0.55916473 0.44083527)
## 26) D_LiabFundBalRatio< 0.5 321 99 0 (0.69158879 0.30841121) *
## 27) D_LiabFundBalRatio>=0.5 110 19 1 (0.17272727 0.82727273) *
## 7) AR_by_OpIncome.y.1.>=0.5 2970 829 1 (0.27912458 0.72087542)
## 14) AdjPxDays.y.2.< 0.5 426 130 0 (0.69483568 0.30516432)
## 28) BedUtil.y.2.< 0.5 340 49 0 (0.85588235 0.14411765) *
## 29) BedUtil.y.2.>=0.5 86 5 1 (0.05813953 0.94186047) *
## 15) AdjPxDays.y.2.>=0.5 2544 533 1 (0.20951258 0.79048742) *m4d_90<- fit_decision_tree(btrain5, btest5)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases## n= 5446
##
## node), split, n, loss, yval, (yprob)
## * denotes terminal node
##
## 1) root 5446 2723 0 (0.50000000 0.50000000)
## 2) AR_by_OpIncome.y.1.< 0.5 1580 225 0 (0.85759494 0.14240506) *
## 3) AR_by_OpIncome.y.1.>=0.5 3866 1368 1 (0.35385411 0.64614589)
## 6) HC4_5.y.1.< 0.5 506 47 0 (0.90711462 0.09288538) *
## 7) HC4_5.y.1.>=0.5 3360 909 1 (0.27053571 0.72946429)
## 14) AdjPxDays.y.2.< 0.5 542 167 0 (0.69188192 0.30811808) *
## 15) AdjPxDays.y.2.>=0.5 2818 534 1 (0.18949610 0.81050390)
## 30) Govt< 0.5 167 24 0 (0.85628743 0.14371257) *
## 31) Govt>=0.5 2651 391 1 (0.14749151 0.85250849) *cm4d_50 = m4d_50$confusion_matrix
cm4d_60 = m4d_60$confusion_matrix
cm4d_70 = m4d_70$confusion_matrix
cm4d_80 = m4d_80$confusion_matrix
cm4d_90 = m4d_90$confusion_matrix
mymat4d=rbind(cm4d_50$byClass,cm4d_60$byClass,cm4d_70$byClass,cm4d_80$byClass, cm4d_90$byClass)
rownames(mymat4d)=c('50%', '60%', '70%', '80%', '90%')
colnames(mymat4d)=names(cm4d_50$byClass)M4d Output
myprint(t(mymat4d))## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> </th>
## <th style="text-align:right;"> 50% </th>
## <th style="text-align:right;"> 60% </th>
## <th style="text-align:right;"> 70% </th>
## <th style="text-align:right;"> 80% </th>
## <th style="text-align:right;"> 90% </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> Sensitivity </td>
## <td style="text-align:right;"> 0.4242424 </td>
## <td style="text-align:right;"> 0.3846154 </td>
## <td style="text-align:right;"> 0.3500000 </td>
## <td style="text-align:right;"> 0.6153846 </td>
## <td style="text-align:right;"> 0.4285714 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Specificity </td>
## <td style="text-align:right;"> 0.8526107 </td>
## <td style="text-align:right;"> 0.8571429 </td>
## <td style="text-align:right;"> 0.8425110 </td>
## <td style="text-align:right;"> 0.7590759 </td>
## <td style="text-align:right;"> 0.8844884 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Pos Pred Value </td>
## <td style="text-align:right;"> 0.0590717 </td>
## <td style="text-align:right;"> 0.0546448 </td>
## <td style="text-align:right;"> 0.0466667 </td>
## <td style="text-align:right;"> 0.0519481 </td>
## <td style="text-align:right;"> 0.0789474 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Neg Pred Value </td>
## <td style="text-align:right;"> 0.9854851 </td>
## <td style="text-align:right;"> 0.9848197 </td>
## <td style="text-align:right;"> 0.9832905 </td>
## <td style="text-align:right;"> 0.9892473 </td>
## <td style="text-align:right;"> 0.9852941 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Precision </td>
## <td style="text-align:right;"> 0.0590717 </td>
## <td style="text-align:right;"> 0.0546448 </td>
## <td style="text-align:right;"> 0.0466667 </td>
## <td style="text-align:right;"> 0.0519481 </td>
## <td style="text-align:right;"> 0.0789474 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Recall </td>
## <td style="text-align:right;"> 0.4242424 </td>
## <td style="text-align:right;"> 0.3846154 </td>
## <td style="text-align:right;"> 0.3500000 </td>
## <td style="text-align:right;"> 0.6153846 </td>
## <td style="text-align:right;"> 0.4285714 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> F1 </td>
## <td style="text-align:right;"> 0.1037037 </td>
## <td style="text-align:right;"> 0.0956938 </td>
## <td style="text-align:right;"> 0.0823529 </td>
## <td style="text-align:right;"> 0.0958084 </td>
## <td style="text-align:right;"> 0.1333333 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Prevalence </td>
## <td style="text-align:right;"> 0.0213454 </td>
## <td style="text-align:right;"> 0.0210186 </td>
## <td style="text-align:right;"> 0.0215517 </td>
## <td style="text-align:right;"> 0.0210016 </td>
## <td style="text-align:right;"> 0.0225806 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Detection Rate </td>
## <td style="text-align:right;"> 0.0090556 </td>
## <td style="text-align:right;"> 0.0080841 </td>
## <td style="text-align:right;"> 0.0075431 </td>
## <td style="text-align:right;"> 0.0129241 </td>
## <td style="text-align:right;"> 0.0096774 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Detection Prevalence </td>
## <td style="text-align:right;"> 0.1532988 </td>
## <td style="text-align:right;"> 0.1479386 </td>
## <td style="text-align:right;"> 0.1616379 </td>
## <td style="text-align:right;"> 0.2487884 </td>
## <td style="text-align:right;"> 0.1225806 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Balanced Accuracy </td>
## <td style="text-align:right;"> 0.6384266 </td>
## <td style="text-align:right;"> 0.6208791 </td>
## <td style="text-align:right;"> 0.5962555 </td>
## <td style="text-align:right;"> 0.6872303 </td>
## <td style="text-align:right;"> 0.6565299 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AUC </td>
## <td style="text-align:right;"> 0.5907789 </td>
## <td style="text-align:right;"> 0.6418091 </td>
## <td style="text-align:right;"> 0.5977698 </td>
## <td style="text-align:right;"> 0.7028434 </td>
## <td style="text-align:right;"> 0.7392739 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PR_AUC </td>
## <td style="text-align:right;"> 0.0396915 </td>
## <td style="text-align:right;"> 0.0387660 </td>
## <td style="text-align:right;"> 0.0333537 </td>
## <td style="text-align:right;"> 0.0504856 </td>
## <td style="text-align:right;"> 0.0586014 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> MISS </td>
## <td style="text-align:right;"> 0.1565330 </td>
## <td style="text-align:right;"> 0.1527890 </td>
## <td style="text-align:right;"> 0.1681034 </td>
## <td style="text-align:right;"> 0.2439418 </td>
## <td style="text-align:right;"> 0.1258065 </td>
## </tr>
## </tbody>
## </table>rpart.plot(m4d_50$model, type=5, extra=2)## Warning: Cannot retrieve the data used to build the model (so cannot determine roundint and is.binary for the variables).
## To silence this warning:
## Call rpart.plot with roundint=FALSE,
## or rebuild the rpart model with model=TRUE.
rpart.plot(m4d_60$model, type=5, extra=2)## Warning: Cannot retrieve the data used to build the model (so cannot determine roundint and is.binary for the variables).
## To silence this warning:
## Call rpart.plot with roundint=FALSE,
## or rebuild the rpart model with model=TRUE.
rpart.plot(m4d_70$model, type=5, extra=2)## Warning: Cannot retrieve the data used to build the model (so cannot determine roundint and is.binary for the variables).
## To silence this warning:
## Call rpart.plot with roundint=FALSE,
## or rebuild the rpart model with model=TRUE.
rpart.plot(m4d_80$model, type=5, extra=2)## Warning: Cannot retrieve the data used to build the model (so cannot determine roundint and is.binary for the variables).
## To silence this warning:
## Call rpart.plot with roundint=FALSE,
## or rebuild the rpart model with model=TRUE.
rpart.plot(m4d_90$model, type=5, extra=2)## Warning: Cannot retrieve the data used to build the model (so cannot determine roundint and is.binary for the variables).
## To silence this warning:
## Call rpart.plot with roundint=FALSE,
## or rebuild the rpart model with model=TRUE.
df1 <- confusion_matrix_to_df(cm4d_50)
df2 <- confusion_matrix_to_df(cm4d_60)
df3 <- confusion_matrix_to_df(cm4d_70)
df4 <- confusion_matrix_to_df(cm4d_80)
df5 <- confusion_matrix_to_df(cm4d_90)
# Create individual plots
M4dplot1 <- plot_confusion_matrix(df1, "M4d 50%")
M4dplot2 <- plot_confusion_matrix(df2, "M4d 60%")
M4dplot3 <- plot_confusion_matrix(df3, "M4d 70%")
M4dplot4 <- plot_confusion_matrix(df4, "M4d 80%")
M4dplot5 <- plot_confusion_matrix(df5, "M4d 90%")
# Arrange the plots side by side
grid.arrange(M4dplot1, M4dplot2, M4dplot3, M4dplot4, M4dplot5, ncol = 3)
Final Plot
grid.arrange(M1aplot1, M1aplot2, M1aplot3, M1aplot4, M1aplot5,
M1bplot1, M1bplot2, M1bplot3, M1bplot4, M1bplot5,
M2aplot1, M2aplot2, M2aplot3, M2aplot4, M2aplot5,
m2bplot1, m2bplot2, m2bplot3, m2bplot4, m2bplot5,
M3aplot1, M3aplot2, M3aplot3, M3aplot4, M3aplot5,
m3bplot1, m3bplot2, m3bplot3, m3bplot4, m3bplot5,
M4aplot1, M4aplot2, M4aplot3, M4aplot4, M4aplot5,
M4bplot1, M4bplot2, M4bplot3, M4bplot4, M4bplot5,
M4cplot1, M4cplot2, M4cplot3, M4cplot4, M4cplot5,
M4dplot1, M4dplot2, M4dplot3, M4dplot4, M4dplot5,
ncol = 5)
COVID Excursion
testdata=bankrupt[bankrupt$Year>2018,]
traindata=bankrupt[bankrupt$Year<=2018,]
cov <- function(mod, train, test) {
# Predict
test$Decision <- predict(mod, test, type = 'response')
test$Decision2 <- as.factor(ifelse(test$Decision < .5, 0, 1))
# Confusion Matrix
cm <- caret::confusionMatrix(as.factor(test$Decision2), as.factor(test$Bankrupt), positive = "1", mode = "prec_recall")
# Calculate ROC AUC
roc_curve <- roc(test$Bankrupt, test$Decision)
auc_value <- auc(roc_curve)
# Calculate PR AUC
fg <- test$Decision[test$Bankrupt == 1]
bg <- test$Decision[test$Bankrupt == 0]
pr_curve <- pr.curve(scores.class0 = fg, scores.class1 = bg, curve = TRUE)
pr_auc_value <- pr_curve$auc.integral
# Miss rate
miss <- 1 - sum(diag(cm$table)) / sum(cm$table)
# Add AUC, PR_AUC, and MISS to the confusion matrix results
cm$byClass <- c(cm$byClass, AUC = auc_value, PR_AUC = pr_auc_value, MISS = miss)
return(cm)
}
# Generate the cov matrices
cov1 <- cov(m4a_50$mod, traindata, testdata)## Setting levels: control = 0, case = 1## Setting direction: controls < casescov2 <- cov(m4a_60$mod, traindata, testdata)## Setting levels: control = 0, case = 1
## Setting direction: controls < casescov3 <- cov(m4a_70$mod, traindata, testdata)## Setting levels: control = 0, case = 1
## Setting direction: controls < casescov4 <- cov(m4a_80$mod, traindata, testdata)## Setting levels: control = 0, case = 1
## Setting direction: controls < casescov5 <- cov(m4a_90$mod, traindata, testdata)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases# Bind the results into a matrix
covmat <- rbind(cov1$byClass, cov2$byClass, cov3$byClass, cov4$byClass, cov5$byClass)
rownames(covmat) <- c('50%', '60%', '70%', '80%', '90%')
# Select and print the desired columns
myprint(t(covmat[, c(11, 5,6,7, 2,4, 12,13,14)]))## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> </th>
## <th style="text-align:right;"> 50% </th>
## <th style="text-align:right;"> 60% </th>
## <th style="text-align:right;"> 70% </th>
## <th style="text-align:right;"> 80% </th>
## <th style="text-align:right;"> 90% </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> Balanced Accuracy </td>
## <td style="text-align:right;"> 0.6879262 </td>
## <td style="text-align:right;"> 0.7523699 </td>
## <td style="text-align:right;"> 0.6931648 </td>
## <td style="text-align:right;"> 0.6710461 </td>
## <td style="text-align:right;"> 0.6199900 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Precision </td>
## <td style="text-align:right;"> 0.0232558 </td>
## <td style="text-align:right;"> 0.0270270 </td>
## <td style="text-align:right;"> 0.0245399 </td>
## <td style="text-align:right;"> 0.0199005 </td>
## <td style="text-align:right;"> 0.0181818 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Recall </td>
## <td style="text-align:right;"> 0.5714286 </td>
## <td style="text-align:right;"> 0.7142857 </td>
## <td style="text-align:right;"> 0.5714286 </td>
## <td style="text-align:right;"> 0.5714286 </td>
## <td style="text-align:right;"> 0.4285714 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> F1 </td>
## <td style="text-align:right;"> 0.0446927 </td>
## <td style="text-align:right;"> 0.0520833 </td>
## <td style="text-align:right;"> 0.0470588 </td>
## <td style="text-align:right;"> 0.0384615 </td>
## <td style="text-align:right;"> 0.0348837 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Specificity </td>
## <td style="text-align:right;"> 0.8044237 </td>
## <td style="text-align:right;"> 0.7904540 </td>
## <td style="text-align:right;"> 0.8149010 </td>
## <td style="text-align:right;"> 0.7706636 </td>
## <td style="text-align:right;"> 0.8114086 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Neg Pred Value </td>
## <td style="text-align:right;"> 0.9956772 </td>
## <td style="text-align:right;"> 0.9970631 </td>
## <td style="text-align:right;"> 0.9957326 </td>
## <td style="text-align:right;"> 0.9954887 </td>
## <td style="text-align:right;"> 0.9942939 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AUC </td>
## <td style="text-align:right;"> 0.7568601 </td>
## <td style="text-align:right;"> 0.7156162 </td>
## <td style="text-align:right;"> 0.6961583 </td>
## <td style="text-align:right;"> 0.7606852 </td>
## <td style="text-align:right;"> 0.7221021 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PR_AUC </td>
## <td style="text-align:right;"> 0.0179756 </td>
## <td style="text-align:right;"> 0.0211635 </td>
## <td style="text-align:right;"> 0.0169451 </td>
## <td style="text-align:right;"> 0.0175060 </td>
## <td style="text-align:right;"> 0.0157875 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> MISS </td>
## <td style="text-align:right;"> 0.1974596 </td>
## <td style="text-align:right;"> 0.2101617 </td>
## <td style="text-align:right;"> 0.1870670 </td>
## <td style="text-align:right;"> 0.2309469 </td>
## <td style="text-align:right;"> 0.1916859 </td>
## </tr>
## </tbody>
## </table>df1 <- confusion_matrix_to_df(cov1)
df2 <- confusion_matrix_to_df(cov2)
df3 <- confusion_matrix_to_df(cov3)
df4 <- confusion_matrix_to_df(cov4)
df5 <- confusion_matrix_to_df(cov5)
# Create individual plots
cov1 <- plot_confusion_matrix(df1, "COVID 50%")
cov2 <- plot_confusion_matrix(df2, "COVID 60%")
cov3 <- plot_confusion_matrix(df3, "COVID 70%")
cov4 <- plot_confusion_matrix(df4, "COVID 80%")
cov5 <- plot_confusion_matrix(df5, "COVID 90%")
# Arrange the plots side by side
grid.arrange(cov1,cov2,cov3,cov4,cov5, ncol = 3)
Two-Lag Excursion
btrain1=train1[,c(1, 27:28, 59:81)]
btrain2=train2[,c(1, 27:28, 59:81)]
btrain3=train3[,c(1, 27:28, 59:81)]
btrain4=train4[,c(1, 27:28, 59:81)]
btrain5=train5[,c(1, 27:28, 59:81)]
btest1=test1[,c(1,27:28, 59:81)]
btest2=test2[,c(1,27:28, 59:81)]
btest3=test3[,c(1,27:28, 59:81)]
btest4=test4[,c(1,27:28, 59:81)]
btest5=test5[,c(1,27:28, 59:81)]
e1a_50=myGLMfit(btrain1,btest1)## Setting levels: control = 0, case = 1## Setting direction: controls < cases
e1a_60=myGLMfit(btrain2,btest2)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
e1a_70=myGLMfit(btrain3,btest3)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
e1a_80=myGLMfit(btrain4,btest4)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
e1a_90=myGLMfit(btrain5,btest5)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
# Create a list of your m2b_* objects
e1a_list <- list(e1a_50, e1a_60, e1a_70, e1a_80, e1a_90)
# Create a list of the models
e1a_modlist <- lapply(e1a_list, function(x) x$mod)
# Extract the confusion_matrix from each object
cme1a_list <- lapply(e1a_list, function(x) x$confusion_matrix)
# Use do.call to pass the confusion matrices as arguments to the mymetrics function
mymate1a <- do.call(mymetrics, cme1a_list)
# And for the coefficients
myCoefmate1a=do.call(mycoefs, e1a_list)
#And for the coefficient tables
e1a_coef_list<- lapply(seq_along(e1a_modlist), function(i) {
glm_summary(e1a_modlist[[i]])
})
names(e1a_coef_list) <- c("50%", "60%", "70%", "80%", "90%")
temp=cbind(mymate1a[, c(11, 5,6,7, 2,4, 12,13,14)],myCoefmate1a)
temp=as.data.frame(t(temp))Two-Lag Output
# Print Accuracy metrics & Coefficients
myprint(round(temp,3))## <table class=" lightable-classic table" style='font-size: 16px; font-family: "Arial Narrow", "Source Sans Pro", sans-serif; width: auto !important; margin-left: auto; margin-right: auto; font-size: Cambria; margin-left: auto; margin-right: auto;'>
## <thead>
## <tr>
## <th style="text-align:left;"> </th>
## <th style="text-align:right;"> 50% </th>
## <th style="text-align:right;"> 60% </th>
## <th style="text-align:right;"> 70% </th>
## <th style="text-align:right;"> 80% </th>
## <th style="text-align:right;"> 90% </th>
## </tr>
## </thead>
## <tbody>
## <tr>
## <td style="text-align:left;"> Balanced Accuracy </td>
## <td style="text-align:right;"> 6.540000e-01 </td>
## <td style="text-align:right;"> 6.560000e-01 </td>
## <td style="text-align:right;"> 5.660000e-01 </td>
## <td style="text-align:right;"> 6.820000e-01 </td>
## <td style="text-align:right;"> 4.880000e-01 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Precision </td>
## <td style="text-align:right;"> 5.700000e-02 </td>
## <td style="text-align:right;"> 3.900000e-02 </td>
## <td style="text-align:right;"> 4.500000e-02 </td>
## <td style="text-align:right;"> 3.900000e-02 </td>
## <td style="text-align:right;"> 2.100000e-02 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Recall </td>
## <td style="text-align:right;"> 4.850000e-01 </td>
## <td style="text-align:right;"> 6.540000e-01 </td>
## <td style="text-align:right;"> 2.500000e-01 </td>
## <td style="text-align:right;"> 7.690000e-01 </td>
## <td style="text-align:right;"> 4.290000e-01 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> F1 </td>
## <td style="text-align:right;"> 1.010000e-01 </td>
## <td style="text-align:right;"> 7.400000e-02 </td>
## <td style="text-align:right;"> 7.600000e-02 </td>
## <td style="text-align:right;"> 7.500000e-02 </td>
## <td style="text-align:right;"> 4.100000e-02 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Specificity </td>
## <td style="text-align:right;"> 8.240000e-01 </td>
## <td style="text-align:right;"> 6.570000e-01 </td>
## <td style="text-align:right;"> 8.820000e-01 </td>
## <td style="text-align:right;"> 5.960000e-01 </td>
## <td style="text-align:right;"> 5.480000e-01 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Neg Pred Value </td>
## <td style="text-align:right;"> 9.870000e-01 </td>
## <td style="text-align:right;"> 9.890000e-01 </td>
## <td style="text-align:right;"> 9.820000e-01 </td>
## <td style="text-align:right;"> 9.920000e-01 </td>
## <td style="text-align:right;"> 9.760000e-01 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AUC </td>
## <td style="text-align:right;"> 6.540000e-01 </td>
## <td style="text-align:right;"> 6.560000e-01 </td>
## <td style="text-align:right;"> 5.660000e-01 </td>
## <td style="text-align:right;"> 6.820000e-01 </td>
## <td style="text-align:right;"> 4.880000e-01 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PR_AUC </td>
## <td style="text-align:right;"> 4.300000e-02 </td>
## <td style="text-align:right;"> 3.500000e-02 </td>
## <td style="text-align:right;"> 3.100000e-02 </td>
## <td style="text-align:right;"> 3.700000e-02 </td>
## <td style="text-align:right;"> 2.200000e-02 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> MISS </td>
## <td style="text-align:right;"> 1.840000e-01 </td>
## <td style="text-align:right;"> 3.430000e-01 </td>
## <td style="text-align:right;"> 1.310000e-01 </td>
## <td style="text-align:right;"> 4.010000e-01 </td>
## <td style="text-align:right;"> 4.550000e-01 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> (Intercept) </td>
## <td style="text-align:right;"> 5.860115e+15 </td>
## <td style="text-align:right;"> 3.849724e+15 </td>
## <td style="text-align:right;"> 4.131959e+15 </td>
## <td style="text-align:right;"> 5.666565e+15 </td>
## <td style="text-align:right;"> 5.151907e+15 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Govt </td>
## <td style="text-align:right;"> -1.271152e+15 </td>
## <td style="text-align:right;"> -9.012940e+14 </td>
## <td style="text-align:right;"> -1.209967e+15 </td>
## <td style="text-align:right;"> -1.415586e+15 </td>
## <td style="text-align:right;"> -1.199141e+15 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Urban </td>
## <td style="text-align:right;"> -1.308253e+15 </td>
## <td style="text-align:right;"> -1.498206e+15 </td>
## <td style="text-align:right;"> -1.073270e+15 </td>
## <td style="text-align:right;"> -9.878240e+14 </td>
## <td style="text-align:right;"> -1.233755e+15 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AR_by_OpIncome.y.2. </td>
## <td style="text-align:right;"> -5.167252e+13 </td>
## <td style="text-align:right;"> -1.096069e+14 </td>
## <td style="text-align:right;"> -7.136382e+13 </td>
## <td style="text-align:right;"> -7.704579e+13 </td>
## <td style="text-align:right;"> -6.135084e+13 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> FB_Plus_OpInc_ByFB.y.2. </td>
## <td style="text-align:right;"> -5.311348e+13 </td>
## <td style="text-align:right;"> -9.944457e+13 </td>
## <td style="text-align:right;"> -4.122334e+13 </td>
## <td style="text-align:right;"> -3.198704e+13 </td>
## <td style="text-align:right;"> -1.231741e+13 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PercentMedicaidDays.y.2. </td>
## <td style="text-align:right;"> -1.652710e+14 </td>
## <td style="text-align:right;"> 1.011555e+15 </td>
## <td style="text-align:right;"> 2.555860e+15 </td>
## <td style="text-align:right;"> 2.025896e+15 </td>
## <td style="text-align:right;"> 2.172664e+13 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> PercentMedicareDays.y.2. </td>
## <td style="text-align:right;"> 7.934729e+14 </td>
## <td style="text-align:right;"> 1.128660e+15 </td>
## <td style="text-align:right;"> 1.076396e+15 </td>
## <td style="text-align:right;"> -1.554739e+14 </td>
## <td style="text-align:right;"> -2.497776e+14 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> CurrentRatio.y.2. </td>
## <td style="text-align:right;"> -7.721230e+13 </td>
## <td style="text-align:right;"> -1.325684e+13 </td>
## <td style="text-align:right;"> -3.201668e+13 </td>
## <td style="text-align:right;"> -5.711765e+13 </td>
## <td style="text-align:right;"> -3.242559e+13 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Debt2Equity.y.2. </td>
## <td style="text-align:right;"> 4.189964e+12 </td>
## <td style="text-align:right;"> 2.000794e+13 </td>
## <td style="text-align:right;"> 3.961424e+12 </td>
## <td style="text-align:right;"> 9.588397e+12 </td>
## <td style="text-align:right;"> 2.786335e+12 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysSalesOutstanding.y.2. </td>
## <td style="text-align:right;"> 9.482992e+11 </td>
## <td style="text-align:right;"> 3.358152e+12 </td>
## <td style="text-align:right;"> 4.333527e+12 </td>
## <td style="text-align:right;"> 3.454253e+12 </td>
## <td style="text-align:right;"> 1.628687e+12 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> LaborCompRatio.y.2. </td>
## <td style="text-align:right;"> 1.453983e+15 </td>
## <td style="text-align:right;"> -8.143514e+14 </td>
## <td style="text-align:right;"> 2.344461e+15 </td>
## <td style="text-align:right;"> 1.627604e+15 </td>
## <td style="text-align:right;"> -7.923606e+14 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OpProfitMargin.y.2. </td>
## <td style="text-align:right;"> 6.191348e+14 </td>
## <td style="text-align:right;"> -4.200795e+14 </td>
## <td style="text-align:right;"> 5.179880e+14 </td>
## <td style="text-align:right;"> 1.096290e+14 </td>
## <td style="text-align:right;"> -2.154233e+14 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> DaysCashOnHand.y.2. </td>
## <td style="text-align:right;"> 4.022188e+11 </td>
## <td style="text-align:right;"> -3.445381e+12 </td>
## <td style="text-align:right;"> -1.210607e+11 </td>
## <td style="text-align:right;"> -1.999969e+11 </td>
## <td style="text-align:right;"> -5.894627e+11 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> BedUtil.y.2. </td>
## <td style="text-align:right;"> -3.160033e+15 </td>
## <td style="text-align:right;"> -1.293775e+15 </td>
## <td style="text-align:right;"> -2.087584e+14 </td>
## <td style="text-align:right;"> 1.310331e+15 </td>
## <td style="text-align:right;"> -9.434333e+14 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AdjPxDays.y.2. </td>
## <td style="text-align:right;"> 3.520959e+13 </td>
## <td style="text-align:right;"> 9.773136e+11 </td>
## <td style="text-align:right;"> 9.581212e+12 </td>
## <td style="text-align:right;"> -6.422379e+12 </td>
## <td style="text-align:right;"> -1.941723e+12 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> Alt1Ohls3.y.2. </td>
## <td style="text-align:right;"> 8.127220e+06 </td>
## <td style="text-align:right;"> 3.317125e+06 </td>
## <td style="text-align:right;"> 2.736169e+06 </td>
## <td style="text-align:right;"> 6.663284e+06 </td>
## <td style="text-align:right;"> 7.457613e+06 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX2.y.2. </td>
## <td style="text-align:right;"> 2.619082e+06 </td>
## <td style="text-align:right;"> -1.349864e+05 </td>
## <td style="text-align:right;"> -1.714139e+05 </td>
## <td style="text-align:right;"> -7.591370e+05 </td>
## <td style="text-align:right;"> -1.815609e+06 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX3.y.2. </td>
## <td style="text-align:right;"> -1.236738e+07 </td>
## <td style="text-align:right;"> -1.041475e+07 </td>
## <td style="text-align:right;"> -1.301144e+07 </td>
## <td style="text-align:right;"> -6.676377e+07 </td>
## <td style="text-align:right;"> -4.912964e+07 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> AltmanX4.y.2. </td>
## <td style="text-align:right;"> -7.792195e+04 </td>
## <td style="text-align:right;"> -1.624971e+05 </td>
## <td style="text-align:right;"> -1.032562e+05 </td>
## <td style="text-align:right;"> -7.692854e+04 </td>
## <td style="text-align:right;"> -5.857288e+03 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX1.y.2. </td>
## <td style="text-align:right;"> -4.595714e+14 </td>
## <td style="text-align:right;"> -2.323059e+14 </td>
## <td style="text-align:right;"> -5.151557e+14 </td>
## <td style="text-align:right;"> -5.504613e+14 </td>
## <td style="text-align:right;"> -3.114591e+14 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX2.y.2. </td>
## <td style="text-align:right;"> -3.482955e+07 </td>
## <td style="text-align:right;"> -1.102457e+06 </td>
## <td style="text-align:right;"> -4.323412e+06 </td>
## <td style="text-align:right;"> -2.144094e+07 </td>
## <td style="text-align:right;"> -1.559638e+07 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX4.y.2. </td>
## <td style="text-align:right;"> 1.199779e+14 </td>
## <td style="text-align:right;"> 6.779510e+12 </td>
## <td style="text-align:right;"> 3.257231e+12 </td>
## <td style="text-align:right;"> 1.383601e+13 </td>
## <td style="text-align:right;"> 1.320199e+13 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX6.y.2. </td>
## <td style="text-align:right;"> -4.347147e+07 </td>
## <td style="text-align:right;"> 2.223477e+06 </td>
## <td style="text-align:right;"> 2.856887e+06 </td>
## <td style="text-align:right;"> 1.695595e+07 </td>
## <td style="text-align:right;"> 8.232476e+06 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX7.y.2. </td>
## <td style="text-align:right;"> -2.472917e+05 </td>
## <td style="text-align:right;"> -1.884490e+05 </td>
## <td style="text-align:right;"> 3.320027e+04 </td>
## <td style="text-align:right;"> -6.451100e+04 </td>
## <td style="text-align:right;"> -8.917949e+04 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX9.y.2. </td>
## <td style="text-align:right;"> 2.828837e+05 </td>
## <td style="text-align:right;"> -4.845419e+05 </td>
## <td style="text-align:right;"> -1.934968e+05 </td>
## <td style="text-align:right;"> -1.016722e+06 </td>
## <td style="text-align:right;"> -1.341264e+06 </td>
## </tr>
## <tr>
## <td style="text-align:left;"> OhlsonX5.y.2. </td>
## <td style="text-align:right;"> -5.955682e+14 </td>
## <td style="text-align:right;"> -8.428968e+12 </td>
## <td style="text-align:right;"> -3.601228e+14 </td>
## <td style="text-align:right;"> -5.912756e+14 </td>
## <td style="text-align:right;"> -3.144054e+14 </td>
## </tr>
## </tbody>
## </table># Define the labels for each plot
labels <- c("2-lag 50%", "2-lag 60%", "2-lag 70%", "2-lag 80%", "2-lag 90%")
# Apply the confusion_matrix_to_df and plot_confusion_matrix functions in sequence
plot_list <- lapply(seq_along(e1a_list), function(i) {
df <- confusion_matrix_to_df(cme1a_list[[i]])
plot_confusion_matrix(df, labels[i])
})
# Assign each plot to a specific variable if needed
e1aplot1 <- plot_list[[1]]
e1aplot2 <- plot_list[[2]]
e1aplot3 <- plot_list[[3]]
e1aplot4 <- plot_list[[4]]
e1aplot5 <- plot_list[[5]]
# Arrange the plots side by side
grid.arrange(e1aplot1, e1aplot2, e1aplot3, e1aplot4, e1aplot5, ncol = 3)
# Print Coefficient Tables
myprint(e1a_coef_list)## $`50%`
## Estimate Std. Error z value Pr(>|z|) Odds
## (Intercept) 5.860115e+15 17194524.949 340812828 0 Inf
## Govt -1.271152e+15 4958255.106 -256370856 0 0
## Urban -1.308253e+15 5551756.501 -235646619 0 0
## AR_by_OpIncome.y.2. -5.167252e+13 676392.841 -76394252 0 0
## FB_Plus_OpInc_ByFB.y.2. -5.311348e+13 795216.173 -66791244 0 0
## PercentMedicaidDays.y.2. -1.652710e+14 17651096.656 -9363214 0 0
## PercentMedicareDays.y.2. 7.934729e+14 13501904.138 58767478 0 Inf
## CurrentRatio.y.2. -7.721230e+13 15160.616 -5092952447 0 0
## Debt2Equity.y.2. 4.189964e+12 65822.068 63655923 0 Inf
## DaysSalesOutstanding.y.2. 9.482992e+11 24678.650 38425893 0 Inf
## LaborCompRatio.y.2. 1.453983e+15 14268106.665 101904421 0 Inf
## OpProfitMargin.y.2. 6.191348e+14 8427242.380 73468252 0 Inf
## DaysCashOnHand.y.2. 4.022188e+11 16704.608 24078314 0 Inf
## BedUtil.y.2. -3.160033e+15 9392793.450 -336431623 0 0
## AdjPxDays.y.2. 3.520959e+13 235182.332 149711900 0 Inf
## Alt1Ohls3.y.2. 8.127220e+06 0.013 616750797 0 Inf
## AltmanX2.y.2. 2.619082e+06 0.034 76401269 0 Inf
## AltmanX3.y.2. -1.236738e+07 0.292 -42335912 0 0
## AltmanX4.y.2. -7.792195e+04 0.001 -54576001 0 0
## OhlsonX1.y.2. -4.595714e+14 1410303.277 -325867096 0 0
## OhlsonX2.y.2. -3.482955e+07 0.116 -299921422 0 0
## OhlsonX4.y.2. 1.199779e+14 40644.828 2951860718 0 Inf
## OhlsonX6.y.2. -4.347147e+07 0.384 -113229348 0 0
## OhlsonX7.y.2. -2.472917e+05 0.001 -165655495 0 0
## OhlsonX9.y.2. 2.828837e+05 0.013 21613596 0 Inf
## OhlsonX5.y.2. -5.955682e+14 3943475.432 -151026222 0 0
## vif
## (Intercept) NA
## Govt 1.129
## Urban 1.105
## AR_by_OpIncome.y.2. 1.43
## FB_Plus_OpInc_ByFB.y.2. 7.291
## PercentMedicaidDays.y.2. 1.091
## PercentMedicareDays.y.2. 1.225
## CurrentRatio.y.2. 1.003
## Debt2Equity.y.2. 7.278
## DaysSalesOutstanding.y.2. 1.526
## LaborCompRatio.y.2. 2.722
## OpProfitMargin.y.2. 2.629
## DaysCashOnHand.y.2. 1.248
## BedUtil.y.2. 1.81
## AdjPxDays.y.2. 2.001
## Alt1Ohls3.y.2. 14.613
## AltmanX2.y.2. 74.846
## AltmanX3.y.2. 162.152
## AltmanX4.y.2. 2.439
## OhlsonX1.y.2. 3.109
## OhlsonX2.y.2. 47.072
## OhlsonX4.y.2. 1.037
## OhlsonX6.y.2. 420.945
## OhlsonX7.y.2. 2.452
## OhlsonX9.y.2. 1.486
## OhlsonX5.y.2. 1.054
##
## $`60%`
## Estimate Std. Error z value Pr(>|z|) Odds
## (Intercept) 3.849724e+15 18638387.812 206548100 0 Inf
## Govt -9.012940e+14 4188144.473 -215201269 0 0
## Urban -1.498206e+15 4812358.833 -311324697 0 0
## AR_by_OpIncome.y.2. -1.096069e+14 638787.933 -171585788 0 0
## FB_Plus_OpInc_ByFB.y.2. -9.944457e+13 165717.796 -600083838 0 0
## PercentMedicaidDays.y.2. 1.011555e+15 14998160.613 67445256 0 Inf
## PercentMedicareDays.y.2. 1.128660e+15 12495584.750 90324711 0 Inf
## CurrentRatio.y.2. -1.325684e+13 15159.300 -874501925 0 0
## Debt2Equity.y.2. 2.000794e+13 21910.800 913154296 0 Inf
## DaysSalesOutstanding.y.2. 3.358152e+12 32825.757 102302344 0 Inf
## LaborCompRatio.y.2. -8.143514e+14 13795593.715 -59029822 0 0
## OpProfitMargin.y.2. -4.200795e+14 9203840.486 -45641763 0 0
## DaysCashOnHand.y.2. -3.445381e+12 14097.773 -244391844 0 0
## BedUtil.y.2. -1.293775e+15 10091954.946 -128198657 0 0
## AdjPxDays.y.2. 9.773136e+11 220500.997 4432241 0 Inf
## Alt1Ohls3.y.2. 3.317125e+06 0.009 359534157 0 Inf
## AltmanX2.y.2. -1.349864e+05 0.002 -75249997 0 0
## AltmanX3.y.2. -1.041475e+07 0.038 -275633897 0 0
## AltmanX4.y.2. -1.624971e+05 0.001 -283787143 0 0
## OhlsonX1.y.2. -2.323059e+14 1573117.719 -147672265 0 0
## OhlsonX2.y.2. -1.102457e+06 0.013 -84104131 0 0
## OhlsonX4.y.2. 6.779510e+12 10868.321 623786263 0 Inf
## OhlsonX6.y.2. 2.223477e+06 0.009 235220499 0 Inf
## OhlsonX7.y.2. -1.884490e+05 0.001 -174754572 0 0
## OhlsonX9.y.2. -4.845419e+05 0.014 -34138548 0 0
## OhlsonX5.y.2. -8.428968e+12 3066283.463 -2748920 0 0
## vif
## (Intercept) NA
## Govt 1.106
## Urban 1.091
## AR_by_OpIncome.y.2. 1.686
## FB_Plus_OpInc_ByFB.y.2. 2.194
## PercentMedicaidDays.y.2. 1.257
## PercentMedicareDays.y.2. 1.346
## CurrentRatio.y.2. 1.004
## Debt2Equity.y.2. 1.931
## DaysSalesOutstanding.y.2. 2.225
## LaborCompRatio.y.2. 2.942
## OpProfitMargin.y.2. 3.221
## DaysCashOnHand.y.2. 1.177
## BedUtil.y.2. 2.38
## AdjPxDays.y.2. 2.195
## Alt1Ohls3.y.2. 22.919
## AltmanX2.y.2. 4.245
## AltmanX3.y.2. 88.986
## AltmanX4.y.2. 1.754
## OhlsonX1.y.2. 11.135
## OhlsonX2.y.2. 37.849
## OhlsonX4.y.2. 1.176
## OhlsonX6.y.2. 11.2
## OhlsonX7.y.2. 1.519
## OhlsonX9.y.2. 2.301
## OhlsonX5.y.2. 1.088
##
## $`70%`
## Estimate Std. Error z value Pr(>|z|) Odds
## (Intercept) 4.131959e+15 13597353.655 303879678 0 Inf
## Govt -1.209967e+15 4132755.594 -292774832 0 0
## Urban -1.073270e+15 4392814.571 -244324057 0 0
## AR_by_OpIncome.y.2. -7.136382e+13 572709.269 -124607414 0 0
## FB_Plus_OpInc_ByFB.y.2. -4.122334e+13 148122.630 -278305465 0 0
## PercentMedicaidDays.y.2. 2.555860e+15 12678873.478 201584186 0 Inf
## PercentMedicareDays.y.2. 1.076396e+15 10402304.544 103476715 0 Inf
## CurrentRatio.y.2. -3.201668e+13 154626.001 -207058833 0 0
## Debt2Equity.y.2. 3.961424e+12 23897.247 165769046 0 Inf
## DaysSalesOutstanding.y.2. 4.333527e+12 21366.787 202816015 0 Inf
## LaborCompRatio.y.2. 2.344461e+15 11087101.460 211458413 0 Inf
## OpProfitMargin.y.2. 5.179880e+14 7607172.086 68092058 0 Inf
## DaysCashOnHand.y.2. -1.210607e+11 12947.004 -9350480 0 0
## BedUtil.y.2. -2.087584e+14 7866017.427 -26539271 0 0
## AdjPxDays.y.2. 9.581212e+12 194549.740 49248136 0 Inf
## Alt1Ohls3.y.2. 2.736169e+06 0.004 633141489 0 Inf
## AltmanX2.y.2. -1.714139e+05 0.002 -109781913 0 0
## AltmanX3.y.2. -1.301144e+07 0.026 -491194948 0 0
## AltmanX4.y.2. -1.032562e+05 0.001 -69696988 0 0
## OhlsonX1.y.2. -5.151557e+14 1081232.804 -476452185 0 0
## OhlsonX2.y.2. -4.323412e+06 0.011 -379180521 0 0
## OhlsonX4.y.2. 3.257231e+12 12183.177 267354798 0 Inf
## OhlsonX6.y.2. 2.856887e+06 0.008 358297714 0 Inf
## OhlsonX7.y.2. 3.320027e+04 0.001 22420610 0 Inf
## OhlsonX9.y.2. -1.934968e+05 0.012 -16388867 0 0
## OhlsonX5.y.2. -3.601228e+14 3051672.353 -118008348 0 0
## vif
## (Intercept) NA
## Govt 1.1
## Urban 1.088
## AR_by_OpIncome.y.2. 1.616
## FB_Plus_OpInc_ByFB.y.2. 1.187
## PercentMedicaidDays.y.2. 1.275
## PercentMedicareDays.y.2. 1.4
## CurrentRatio.y.2. 1.11
## Debt2Equity.y.2. 1.066
## DaysSalesOutstanding.y.2. 1.291
## LaborCompRatio.y.2. 2.357
## OpProfitMargin.y.2. 2.53
## DaysCashOnHand.y.2. 1.212
## BedUtil.y.2. 1.894
## AdjPxDays.y.2. 1.973
## Alt1Ohls3.y.2. 5.56
## AltmanX2.y.2. 3.209
## AltmanX3.y.2. 38.277
## AltmanX4.y.2. 3.142
## OhlsonX1.y.2. 5.776
## OhlsonX2.y.2. 25.159
## OhlsonX4.y.2. 1.664
## OhlsonX6.y.2. 7.619
## OhlsonX7.y.2. 2.669
## OhlsonX9.y.2. 1.338
## OhlsonX5.y.2. 1.069
##
## $`80%`
## Estimate Std. Error z value Pr(>|z|) Odds
## (Intercept) 5.666565e+15 14671369.262 386232856 0 Inf
## Govt -1.415586e+15 3821988.743 -370379365 0 0
## Urban -9.878240e+14 4281826.577 -230701539 0 0
## AR_by_OpIncome.y.2. -7.704579e+13 522293.444 -147514373 0 0
## FB_Plus_OpInc_ByFB.y.2. -3.198704e+13 130368.372 -245358906 0 0
## PercentMedicaidDays.y.2. 2.025896e+15 12191574.237 166171773 0 Inf
## PercentMedicareDays.y.2. -1.554739e+14 10804205.048 -14390130 0 0
## CurrentRatio.y.2. -5.711765e+13 15122.077 -3777103841 0 0
## Debt2Equity.y.2. 9.588397e+12 19319.317 496311355 0 Inf
## DaysSalesOutstanding.y.2. 3.454253e+12 20695.449 166908803 0 Inf
## LaborCompRatio.y.2. 1.627604e+15 10479293.465 155316221 0 Inf
## OpProfitMargin.y.2. 1.096290e+14 6535702.705 16773859 0 Inf
## DaysCashOnHand.y.2. -1.999969e+11 12461.160 -16049622 0 0
## BedUtil.y.2. 1.310331e+15 7330263.497 178756286 0 Inf
## AdjPxDays.y.2. -6.422379e+12 208410.748 -30815970 0 0
## Alt1Ohls3.y.2. 6.663284e+06 0.005 1459394789 0 Inf
## AltmanX2.y.2. -7.591370e+05 0.002 -389545095 0 0
## AltmanX3.y.2. -6.676377e+07 0.030 -2243456428 0 0
## AltmanX4.y.2. -7.692854e+04 0.001 -145463652 0 0
## OhlsonX1.y.2. -5.504613e+14 1230150.360 -447474776 0 0
## OhlsonX2.y.2. -2.144094e+07 0.016 -1336623809 0 0
## OhlsonX4.y.2. 1.383601e+13 9568.584 1445982935 0 Inf
## OhlsonX6.y.2. 1.695595e+07 0.008 2144707942 0 Inf
## OhlsonX7.y.2. -6.451100e+04 0.001 -68323084 0 0
## OhlsonX9.y.2. -1.016722e+06 0.010 -104485188 0 0
## OhlsonX5.y.2. -5.912756e+14 3132795.699 -188737363 0 0
## vif
## (Intercept) NA
## Govt 1.081
## Urban 1.07
## AR_by_OpIncome.y.2. 1.592
## FB_Plus_OpInc_ByFB.y.2. 1.668
## PercentMedicaidDays.y.2. 1.116
## PercentMedicareDays.y.2. 1.24
## CurrentRatio.y.2. 1.003
## Debt2Equity.y.2. 1.516
## DaysSalesOutstanding.y.2. 1.68
## LaborCompRatio.y.2. 2.195
## OpProfitMargin.y.2. 1.999
## DaysCashOnHand.y.2. 1.223
## BedUtil.y.2. 1.828
## AdjPxDays.y.2. 2.193
## Alt1Ohls3.y.2. 4.927
## AltmanX2.y.2. 4.766
## AltmanX3.y.2. 40.807
## AltmanX4.y.2. 1.622
## OhlsonX1.y.2. 6.614
## OhlsonX2.y.2. 41.647
## OhlsonX4.y.2. 1.163
## OhlsonX6.y.2. 7.151
## OhlsonX7.y.2. 1.475
## OhlsonX9.y.2. 1.778
## OhlsonX5.y.2. 1.036
##
## $`90%`
## Estimate Std. Error z value Pr(>|z|) Odds
## (Intercept) 5.151907e+15 13383173.667 384954066 0 Inf
## Govt -1.199141e+15 3628441.227 -330483681 0 0
## Urban -1.233755e+15 4321950.658 -285462549 0 0
## AR_by_OpIncome.y.2. -6.135084e+13 520115.414 -117956207 0 0
## FB_Plus_OpInc_ByFB.y.2. -1.231741e+13 104656.702 -117693505 0 0
## PercentMedicaidDays.y.2. 2.172664e+13 11266861.262 1928366 0 Inf
## PercentMedicareDays.y.2. -2.497776e+14 10959507.316 -22790951 0 0
## CurrentRatio.y.2. -3.242559e+13 15119.045 -2144685369 0 0
## Debt2Equity.y.2. 2.786335e+12 17154.956 162421579 0 Inf
## DaysSalesOutstanding.y.2. 1.628687e+12 17365.649 93787859 0 Inf
## LaborCompRatio.y.2. -7.923606e+14 11557319.223 -68559202 0 0
## OpProfitMargin.y.2. -2.154233e+14 6504983.106 -33116657 0 0
## DaysCashOnHand.y.2. -5.894627e+11 11952.349 -49317724 0 0
## BedUtil.y.2. -9.434333e+14 7952101.541 -118639499 0 0
## AdjPxDays.y.2. -1.941723e+12 183385.227 -10588217 0 0
## Alt1Ohls3.y.2. 7.457613e+06 0.004 1667582795 0 Inf
## AltmanX2.y.2. -1.815609e+06 0.002 -949419684 0 0
## AltmanX3.y.2. -4.912964e+07 0.029 -1723573296 0 0
## AltmanX4.y.2. -5.857288e+03 0.000 -17933392 0 0
## OhlsonX1.y.2. -3.114591e+14 1067931.742 -291647042 0 0
## OhlsonX2.y.2. -1.559638e+07 0.015 -1061138812 0 0
## OhlsonX4.y.2. 1.320199e+13 10271.962 1285245330 0 Inf
## OhlsonX6.y.2. 8.232476e+06 0.008 1054713500 0 Inf
## OhlsonX7.y.2. -8.917949e+04 0.001 -117522728 0 0
## OhlsonX9.y.2. -1.341264e+06 0.009 -141307918 0 0
## OhlsonX5.y.2. -3.144054e+14 2746344.497 -114481422 0 0
## vif
## (Intercept) NA
## Govt 1.095
## Urban 1.083
## AR_by_OpIncome.y.2. 1.673
## FB_Plus_OpInc_ByFB.y.2. 1.37
## PercentMedicaidDays.y.2. 1.262
## PercentMedicareDays.y.2. 1.419
## CurrentRatio.y.2. 1.003
## Debt2Equity.y.2. 1.237
## DaysSalesOutstanding.y.2. 1.61
## LaborCompRatio.y.2. 4.594
## OpProfitMargin.y.2. 4.78
## DaysCashOnHand.y.2. 1.238
## BedUtil.y.2. 2.329
## AdjPxDays.y.2. 2.085
## Alt1Ohls3.y.2. 4.77
## AltmanX2.y.2. 4.589
## AltmanX3.y.2. 36.391
## AltmanX4.y.2. 1.193
## OhlsonX1.y.2. 6.046
## OhlsonX2.y.2. 33.907
## OhlsonX4.y.2. 1.09
## OhlsonX6.y.2. 6.924
## OhlsonX7.y.2. 1.127
## OhlsonX9.y.2. 1.673
## OhlsonX5.y.2. 1.077Combined Metrics
myprep=function(mod){
mod=round(mod,3)
rownames(mod)=c("M1a","M1b","M2a","M2b","M3a","M3b", "M4a","M4b", "M4c","M4d")
highlight_min_max<- function(x) {
max_value <- max(x, na.rm = TRUE)
second_max_value <- max(x[x < max_value], na.rm = TRUE)
min_value <- min(x, na.rm = TRUE)
formattable::formatter("span",
style = x ~ ifelse(is.na(x) | is.nan(x),
style(background = "darkred", color = "white", font.weight = "bold"),
ifelse(x == max_value,
style(background = "darkgreen", color = "white", font.weight = "bold"),
ifelse(x == second_max_value,
style(background = "lightgreen", color = "black", font.weight = "bold"), # Slightly lighter dark green
ifelse(x == min_value,
style(background = "darkred", color = "white", font.weight = "bold"),
NA))))) (x)
}
mod=mod%>%mutate(across(everything(), highlight_min_max))
formattable(mod)
}
metrics=rbind(
mymat1a,
mymat1b,
mymat2a,
mymat2b,
mymat3a,
mymat3b,
mymat4a,
mymat4b,
mymat4c,
mymat4d)
fifty=as.data.frame(metrics[seq(1,50,by=5),c(11, 5,6,7, 2,4, 12,13)])
sixty=as.data.frame(metrics[seq(2,50,by=5),c(11, 5,6,7, 2,4, 12,13)])
seventy=as.data.frame(metrics[seq(3,50,by=5),c(11, 5,6,7, 2,4, 12,13)])
eighty=as.data.frame(metrics[seq(4,50,by=5),c(11, 5,6,7, 2,4, 12,13)])
ninety=as.data.frame(metrics[seq(5,50,by=5),c(11, 5,6,7, 2,4, 12,13)])
# Apply the custom function to each column
myprep(fifty)| Balanced Accuracy | Precision | Recall | F1 | Specificity | Neg Pred Value | AUC | PR_AUC | |
|---|---|---|---|---|---|---|---|---|
| M1a | 0.633 | 0.035 | 0.667 | 0.067 | 0.599 | 0.988 | 0.652 | 0.017 |
| M1b | 0.660 | 0.054 | 0.515 | 0.098 | 0.804 | 0.987 | 0.653 | 0.047 |
| M2a | 0.500 | NA | 0.000 | NA | 1.000 | 0.979 | 0.500 | 0.021 |
| M2b | 0.682 | 0.061 | 0.545 | 0.110 | 0.818 | 0.988 | 0.728 | 0.045 |
| M3a | 0.500 | 0.021 | 1.000 | 0.042 | 0.000 | NaN | 0.500 | 0.021 |
| M3b | 0.502 | 0.021 | 1.000 | 0.042 | 0.003 | 1.000 | 0.502 | 0.021 |
| M4a | 0.722 | 0.075 | 0.606 | 0.134 | 0.838 | 0.990 | 0.818 | 0.096 |
| M4b | 0.501 | 0.021 | 1.000 | 0.042 | 0.001 | 1.000 | 0.835 | 0.111 |
| M4c | 0.913 | 0.057 | 1.000 | 0.108 | 0.827 | 1.000 | 0.196 | 0.054 |
| M4d | 0.638 | 0.059 | 0.424 | 0.104 | 0.853 | 0.985 | 0.591 | 0.040 |
myprep(sixty)| Balanced Accuracy | Precision | Recall | F1 | Specificity | Neg Pred Value | AUC | PR_AUC | |
|---|---|---|---|---|---|---|---|---|
| M1a | 0.614 | 0.032 | 0.654 | 0.061 | 0.574 | 0.987 | 0.634 | 0.021 |
| M1b | 0.672 | 0.051 | 0.577 | 0.093 | 0.767 | 0.988 | 0.632 | 0.042 |
| M2a | 0.500 | NA | 0.000 | NA | 1.000 | 0.979 | 0.500 | 0.021 |
| M2b | 0.587 | 0.035 | 0.423 | 0.065 | 0.751 | 0.984 | 0.712 | 0.035 |
| M3a | 0.500 | 0.021 | 1.000 | 0.041 | 0.000 | NaN | 0.500 | 0.021 |
| M3b | 0.571 | 0.028 | 0.538 | 0.054 | 0.603 | 0.984 | 0.623 | 0.088 |
| M4a | 0.737 | 0.072 | 0.654 | 0.130 | 0.819 | 0.991 | 0.833 | 0.073 |
| M4b | 0.580 | 0.111 | 0.192 | 0.141 | 0.967 | 0.982 | 0.819 | 0.076 |
| M4c | 0.500 | NA | 0.000 | NA | 1.000 | 0.984 | 0.476 | 0.046 |
| M4d | 0.621 | 0.055 | 0.385 | 0.096 | 0.857 | 0.985 | 0.642 | 0.039 |
myprep(seventy)| Balanced Accuracy | Precision | Recall | F1 | Specificity | Neg Pred Value | AUC | PR_AUC | |
|---|---|---|---|---|---|---|---|---|
| M1a | 0.567 | 0.028 | 0.55 | 0.054 | 0.585 | 0.983 | 0.582 | 0.024 |
| M1b | 0.462 | 0.020 | 0.85 | 0.039 | 0.074 | 0.957 | 0.485 | 0.073 |
| M2a | 0.500 | NA | 0.00 | NA | 1.000 | 0.978 | 0.500 | 0.022 |
| M2b | 0.607 | 0.040 | 0.45 | 0.074 | 0.764 | 0.984 | 0.704 | 0.038 |
| M3a | 0.500 | 0.022 | 1.00 | 0.042 | 0.000 | NaN | 0.500 | 0.022 |
| M3b | 0.586 | 0.030 | 0.60 | 0.057 | 0.572 | 0.985 | 0.653 | 0.091 |
| M4a | 0.620 | 0.052 | 0.40 | 0.092 | 0.840 | 0.985 | 0.793 | 0.066 |
| M4b | 0.498 | 0.000 | 0.00 | NaN | 0.997 | 0.978 | 0.806 | 0.089 |
| M4c | 0.500 | NA | 0.00 | NA | 1.000 | 0.986 | 0.423 | 0.054 |
| M4d | 0.596 | 0.047 | 0.35 | 0.082 | 0.843 | 0.983 | 0.598 | 0.033 |
myprep(eighty)| Balanced Accuracy | Precision | Recall | F1 | Specificity | Neg Pred Value | AUC | PR_AUC | |
|---|---|---|---|---|---|---|---|---|
| M1a | 0.632 | 0.033 | 0.692 | 0.064 | 0.571 | 0.989 | 0.623 | 0.020 |
| M1b | 0.536 | 0.023 | 1.000 | 0.044 | 0.073 | 1.000 | 0.535 | 0.022 |
| M2a | 0.500 | NA | 0.000 | NA | 1.000 | 0.979 | 0.500 | 0.021 |
| M2b | 0.695 | 0.047 | 0.692 | 0.088 | 0.698 | 0.991 | 0.749 | 0.045 |
| M3a | 0.500 | 0.021 | 1.000 | 0.041 | 0.000 | NaN | 0.500 | 0.021 |
| M3b | 0.566 | 0.026 | 0.692 | 0.050 | 0.439 | 0.985 | 0.616 | 0.050 |
| M4a | 0.748 | 0.070 | 0.692 | 0.128 | 0.804 | 0.992 | 0.860 | 0.200 |
| M4b | 0.631 | 0.028 | 1.000 | 0.055 | 0.262 | 1.000 | 0.873 | 0.114 |
| M4c | 0.952 | 0.167 | 1.000 | 0.286 | 0.903 | 1.000 | 0.168 | 0.111 |
| M4d | 0.687 | 0.052 | 0.615 | 0.096 | 0.759 | 0.989 | 0.703 | 0.050 |
myprep(ninety)| Balanced Accuracy | Precision | Recall | F1 | Specificity | Neg Pred Value | AUC | PR_AUC | |
|---|---|---|---|---|---|---|---|---|
| M1a | 0.714 | 0.044 | 0.857 | 0.084 | 0.571 | 0.994 | 0.785 | 0.039 |
| M1b | 0.465 | 0.021 | 0.857 | 0.041 | 0.073 | 0.957 | 0.527 | 0.172 |
| M2a | 0.500 | NA | 0.000 | NA | 1.000 | 0.977 | 0.500 | 0.023 |
| M2b | 0.660 | 0.050 | 0.571 | 0.092 | 0.749 | 0.987 | 0.765 | 0.185 |
| M3a | 0.500 | 0.023 | 1.000 | 0.044 | 0.000 | NaN | 0.500 | 0.023 |
| M3b | 0.655 | 0.035 | 0.857 | 0.067 | 0.452 | 0.993 | 0.779 | 0.141 |
| M4a | 0.789 | 0.109 | 0.714 | 0.189 | 0.865 | 0.992 | 0.889 | 0.094 |
| M4b | 0.503 | 0.023 | 1.000 | 0.044 | 0.007 | 1.000 | 0.905 | 0.143 |
| M4c | 0.831 | 0.143 | 1.000 | 0.250 | 0.663 | 1.000 | 0.114 | 0.127 |
| M4d | 0.657 | 0.079 | 0.429 | 0.133 | 0.884 | 0.985 | 0.739 | 0.059 |
Breakfast Calcuations (Back of Napkin Analysis)
initial=bankrupt$initial= 3.224- .0878*bankrupt$AdjPxDays.y.2.- 0.36*bankrupt$AR_by_OpIncome.y.1.-
0.2146*bankrupt$AR_by_OpIncome.y.2.- 4.164*bankrupt$BedUtil.y.2.- 0.0622*bankrupt$D_LiabFundBalRatio+ 0.221*bankrupt$D_OhlsonX2
- 0.006*bankrupt$DaysCashOnHand- 3.7248*bankrupt$HC4_5.y.1.+ 2.4304*bankrupt$LaborCompRatio.y.1.-4.15*bankrupt$Govt## [1] 0.631904 -6.659720 -3.888372 1.245684 -3.197932 -3.802684
## [7] 2.063800 -2.936108 -6.984864 -3.143164 -2.801564 0.875784
## [13] -2.479368 1.377948 -6.877872 0.946476 0.909460 0.993236
## [19] 1.042192 -3.160620 -2.632612 -3.506596 -7.164176 1.083720
## [25] 1.172284 -2.582092 1.019688 -2.910708 -2.504704 0.805932
## [31] 0.803604 0.868944 -6.224336 -3.219712 -3.402580 0.680692
## [37] -2.947092 -6.321256 -3.006360 0.947076 0.726956 0.923492
## [43] -3.589772 -3.388044 -3.398556 -3.303072 0.727800 0.969400
## [49] -2.465420 -3.947488 -2.809256 -3.293576 0.680392 -2.651192
## [55] 0.788196 1.252176 -3.552004 -2.264160 0.866072 -0.672224
## [61] 0.674544 -2.633180 -3.348028 -3.418288 1.083372 -2.744752
## [67] -7.010984 -3.028564 0.923492 -2.923968 -3.155752 -6.719904
## [73] -2.415384 0.581824 -3.109432 -3.153232 0.656088 -2.746596
## [79] -2.495796 0.549916 -2.995680 0.991728 -6.896636 0.493556
## [85] 0.604536 -2.891536 0.504020 0.850580 0.801972 -3.581112
## [91] 1.189276 -0.735248 0.416168 -2.336524 0.607600 0.947796
## [97] 1.073812 0.878244 0.762252 0.775576 0.619604 -2.801308
## [103] 0.848060 -2.461052 -3.166344 0.802820 -0.110688 1.126024
## [109] 0.313372 0.790284 -3.402076 0.721320 -2.752700 -3.068592
## [115] 1.214360 0.848840 0.663412 0.773404 -2.563896 -2.892824
## [121] 0.843732 -2.825612 0.435624 0.231544 0.996464 1.093680
## [127] 0.951360 -0.167160 -2.743424 0.867372 -2.517920 0.696636
## [133] -3.001084 -2.904200 1.328868 1.388736 0.649432 0.380044
## [139] 1.001740 1.083048 0.577848 0.215832 0.839472 -2.260828
## [145] 0.885920 -2.804128 -2.369456 0.864388 0.938972 1.439232
## [151] 0.368736 -2.624540 1.201292 -3.013864 -2.846888 0.783484
## [157] 0.801912 -4.232012 3.121460 0.785060 0.397060 -3.122700
## [163] -2.290924 -2.900856 0.779284 1.194916 0.518772 0.400440
## [169] -2.872960 0.777604 0.595196 0.984020 -2.195732 1.189668
## [175] -3.308772 -2.596216 -3.241832 -2.716828 0.891468 0.986928
## [181] -2.976988 0.294408 1.309732 0.801528 -2.835756 1.213820
## [187] 0.947436 -6.836140 -3.006476 1.087316 -3.099376 -3.130872
## [193] -0.371816 0.747504 0.573216 -2.842544 0.850580 0.448772
## [199] 0.691456 1.046400 0.728852 -3.328988 -3.730312 -3.443924
## [205] -3.226692 1.226368 -1.536776 -3.155828 0.060480 -0.210616
## [211] 0.911500 0.933476 0.941296 -2.857564 1.157296 -2.559768
## [217] 0.693468 0.973424 0.990224 1.159056 0.866688 0.995080
## [223] -1.303632 0.784516 -6.826292 -3.368480 0.761372 -2.540324
## [229] 1.141928 1.256668 1.002224 0.818284 0.946836 0.922088
## [235] -3.102628 0.607364 -2.751860 -2.749100 -7.699628 -3.630160
## [241] -2.801608 0.405452 0.895420 1.076092 -2.846608 1.186600
## [247] 0.990588 0.849756 0.925772 1.068656 1.728408 -3.128544
## [253] -0.332000 0.312500 -3.496468 -2.894136 1.045072 0.998984
## [259] -2.813564 -2.851944 1.506668 0.250736 -3.249864 1.020648
## [265] -2.823148 1.097180 0.875376 0.523032 -2.684892 -1.414332
## [271] -2.525380 -2.947008 -3.016100 0.337488 -2.983000 -2.316248
## [277] -2.967568 0.606672 1.110244 -3.053492 -7.243748 -2.888348
## [283] 0.753464 -2.480924 -3.005204 -4.316136 -2.814064 0.850100
## [289] -2.890688 -2.916580 -3.722932 0.889652 0.972160 -3.224060
## [295] 1.360844 0.947856 -3.754860 -2.002484 1.034572 1.066496
## [301] 1.020768 -2.952484 1.092840 1.155852 1.044892 1.072856
## [307] 1.268728 -2.839744 -3.049044 -2.754560 1.020768 -3.238772
## [313] 1.239504 -2.797100 1.020768 1.219760 -3.402412 0.832576
## [319] 1.000568 -2.754156 1.016208 -2.755100 -3.141232 1.069316
## [325] 1.249152 1.343548 -3.235476 0.791408 0.233540 0.839084
## [331] -3.963412 -3.008672 1.379632 -2.656780 -2.323084 1.355728
## [337] -2.803284 -0.073056 -2.972392 1.484596 -2.807848 -2.967836
## [343] -2.808020 -7.329468 -2.959184 0.907112 -2.778804 -2.466812
## [349] -2.585932 -2.977248 -2.652596 -7.457288 -2.707788 1.725584
## [355] 1.045072 -1.218648 1.707288 -2.599976 1.560388 -7.453156
## [361] -2.555436 0.924288 -3.060624 0.658580 1.314612 1.020768
## [367] -2.587432 -3.143320 0.902012 0.872544 1.227280 -2.854760
## [373] -2.536164 1.456032 -1.905424 -3.512564 0.904972 -3.210856
## [379] -2.834276 1.044952 -3.375648 1.475928 -7.817392 1.117924
## [385] 1.487672 -0.628384 1.508288 -2.461952 0.729120 0.774872
## [391] 1.278164 -2.358360 0.971324 0.954348 -2.572512 -2.435356
## [397] -3.016416 -2.767088 0.801552 -3.461284 0.719852 0.996464
## [403] 0.161196 -5.947580 -3.048328 -3.114408 0.503668 0.875500
## [409] 1.355964 -2.909772 1.378360 -3.408588 0.921692 -2.819592
## [415] 1.960192 0.749076 -3.161196 -7.309520 0.909632 1.356368
## [421] -3.070272 0.599080 -3.146244 -3.036008 -2.923904 0.875552
## [427] 0.782684 -3.020104 -6.837316 1.001508 -2.953192 -2.886700
## [433] -2.973284 -1.754616 0.770888 -2.656264 -2.973536 -7.260976
## [439] -2.949820 -2.983496 -2.441964 -2.752820 -2.704092 0.174836
## [445] -2.711772 -3.069852 -4.415760 -3.278920 0.969100 -2.928652
## [451] -2.925820 -2.769776 -2.852976 -2.801248 1.060888 -3.201808
## [457] 0.656148 0.804492 -2.869572 1.193376 0.611080 -3.910576
## [463] 1.019332 1.069080 -2.940052 -3.129232 1.372380 -2.723940
## [469] -2.576920 1.020048 -2.902056 -2.774064 0.869756 0.616804
## [475] 1.078744 0.731860 -3.199600 -0.592068 0.925448 1.239444
## [481] -6.608448 1.173336 0.737868 0.128504 1.782180 -2.305984
## [487] -2.948052 1.195544 0.750808 -2.821888 1.006792 0.895980
## [493] 0.676680 1.185372 0.545208 0.984524 -2.528752 -2.853064
## [499] 1.215200 0.947796 0.678832 0.583116 0.923492 0.777728
## [505] 0.679764 0.284980 0.639112 -4.618868 0.850400 -3.007712
## [511] 0.826216 -6.562444 1.020708 -2.934860 -2.813444 -4.823388
## [517] -2.910556 0.705176 -6.926944 -2.910556 -6.975552 0.891804
## [523] 0.704628 0.875064 0.693112 1.045072 0.607300 0.856280
## [529] -2.877520 -6.934688 0.582276 -3.288108 -2.922768 0.620480
## [535] 0.792072 -2.995740 -2.826932 -3.953376 0.728040 -5.964188
## [541] 0.899188 0.797708 0.996404 -3.457008 -3.214396 0.899248
## [547] 0.777668 0.566612 -2.869124 -2.971496 -3.810476 1.166172
## [553] 0.996404 1.020708 -2.670220 0.793208 -3.905268 0.294020
## [559] 0.555904 -5.509932 -3.454996 -3.076536 -10.161432 -2.825912
## [565] -3.374072 0.680212 0.275328 0.873624 0.908668 -3.598140
## [571] 0.592128 0.753124 -1.509992 -3.435460 1.353672 0.971800
## [577] -2.503308 0.704696 1.166592 1.018008 0.799332 0.312112
## [583] -2.707812 0.996464 1.263748 0.775808 0.874644 0.907676
## [589] 2.080236 -3.035596 -2.898524 0.697908 0.679552 -2.996100
## [595] 0.876864 0.369432 -4.674104 0.881452 0.607480 0.931832
## [601] 0.874944 0.768368 0.922892 0.900208 0.971140 0.874824
## [607] -2.950236 1.093384 0.739804 -3.125104 0.968624 0.850460
## [613] -3.982328 1.142288 0.848720 -2.789612 0.972100 -2.948092
## [619] 0.947736 0.923492 0.970420 1.069376 -2.974136 0.947916
## [625] -2.593516 0.308732 -2.606996 1.142468 1.262732 0.738840
## [631] 0.879380 1.117924 1.229904 0.791536 0.654648 0.780788
## [637] -3.047468 0.777608 1.310196 -7.043100 0.792424 -2.849016
## [643] -2.777064 0.898888 1.290820 -4.511712 -3.992608 -3.667772
## [649] -2.753168 -4.121480 -3.174860 -3.111996 0.773688 0.996464
## [655] 0.874464 -2.799112 -2.843040 0.874824 -2.466656 -3.019984
## [661] 0.582816 1.383320 1.071776 1.063256 1.020108 1.510816
## [667] 0.996404 -3.344240 0.851244 -5.345288 -2.337724 0.213748
## [673] -6.927004 0.843876 -3.179280 -3.301100 0.580772 -3.515452
## [679] 1.040508 1.065536 1.091400 0.990480 -0.939460 -3.476724
## [685] -3.231132 -1.880120 -3.491212 -0.298444 -3.438988 -6.933340
## [691] -7.290472 0.945456 0.750844 -2.888552 0.567848 -2.995124
## [697] -2.561628 0.339408 -2.729040 -3.076232 -3.087604 1.162992
## [703] -3.728732 0.680452 1.509468 -4.828900 0.729120 1.036464
## [709] 1.020468 -6.968316 0.831624 -3.211504 -2.840756 -6.635356
## [715] -3.291428 -2.875360 -3.575660 -3.627368 -0.461836 -2.101876
## [721] 0.539196 0.723960 1.236744 1.123048 -6.759036 -2.755040
## [727] 2.409944 0.534508 0.653248 -3.340296 0.884796 1.254416
## [733] 0.826336 -2.757560 0.537772 0.754960 0.698248 -2.791872
## [739] -3.046112 0.972228 1.412760 1.092840 0.850712 -2.445944
## [745] -2.788976 1.006024 -7.262764 -3.649128 -2.902068 -2.338212
## [751] -3.315176 -4.110320 -3.055776 -2.704092 1.918528 -4.348448
## [757] -2.602856 0.991220 -4.043700 -0.224844 -0.562688 0.792792
## [763] 0.607360 -3.301164 -3.166244 -2.968252 0.745036 -6.762472
## [769] -7.468200 1.010984 -2.836176 -3.758072 -2.572240 1.032472
## [775] 1.093368 1.020648 -2.644676 1.333944 1.215020 1.268744
## [781] 0.701888 1.387524 1.093696 0.727620 1.314880 -3.141576
## [787] 0.507292 0.499532 -3.515968 -2.704152 -9.424880 1.269512
## [793] -2.660568 -3.088664 -3.094148 1.288984 0.689712 -15.881252
## [799] -4.429352 0.986244 -3.802956 1.378628 0.980088 1.367396
## [805] -2.777064 -3.780048 1.357496 1.363516 1.010032 -3.508044
## [811] -2.920460 -6.983584 0.991424 1.028628 -2.266948 -2.746116
## [817] -2.853024 0.858800 1.325072 1.078760 1.281284 0.664764
## [823] -3.652908 -5.128548 -2.757060 -3.105432 -2.893188 -2.849196
## [829] -3.896716 0.524168 0.682876 -2.749604 1.393204 0.624896
## [835] -3.040452 -3.093720 -6.675368 -2.968428 -4.049180 1.225900
## [841] -2.823476 -2.902100 -3.047968 -2.731812 0.939808 0.996464
## [847] -3.097996 0.769388 -12.759064 -2.727924 -2.561984 0.652924
## [853] 0.922536 -2.710780 -3.031296 0.983988 -2.240044 0.765332
## [859] 1.208184 -2.625404 0.866348 -2.921992 0.815236 -2.612216
## [865] -2.745368 -2.836008 0.909396 -2.989956 1.430480 0.188548
## [871] 0.973188 1.096868 -2.507328 1.135848 1.093608 0.896976
## [877] 0.405096 1.881080 0.302752 0.291484 1.226156 -7.076296
## [883] 0.952252 0.216664 -2.758452 0.534024 0.810196 0.717260
## [889] 0.896972 -2.950464 -3.177996 0.291908 0.372240 0.579572
## [895] -2.581372 0.769204 -7.354752 -7.619344 -3.262236 1.114144
## [901] -2.813576 0.752228 -3.767172 0.641056 -3.081984 -3.101160
## [907] 0.674532 0.781244 0.752468 -3.178252 -3.081616 -3.801116
## [913] -3.225864 -3.071120 -6.843984 -8.560588 -7.232916 -6.998396
## [919] -2.840132 -3.052072 -2.874220 -7.485360 0.990988 -6.898804
## [925] -4.358988 0.529944 -4.393760 0.312148 0.826276 0.477280
## [931] -0.972628 3.585772 0.670072 1.517952 -2.906060 0.682972
## [937] -1.189476 0.801732 -2.789580 -3.190172 0.631844 -0.028732
## [943] 0.129148 0.790464 0.534628 -2.525512 0.208116 0.855320
## [949] 1.092504 -3.166944 -3.379688 -3.076212 -2.971436 0.682792
## [955] 0.761588 -3.315488 0.724136 -3.067088 1.007928 -3.737360
## [961] -3.179716 -3.149784 0.616956 0.777128 0.290812 0.278112
## [967] -2.558208 -2.952448 -2.831376 -2.995800 -3.088240 -2.971376
## [973] 0.414180 -2.286296 0.754628 -7.916240 0.766032 0.839212
## [979] -8.150116 -2.991072 -3.591556 -2.325712 -7.178332 -2.973508
## [985] 1.225088 1.148296 -3.350176 -2.829360 1.141388 -2.617396
## [991] 0.768168 -3.600504 0.897348 1.542460 -2.954904 -3.374308
## [997] -2.872488 -3.247900 0.895488 -6.970900 1.027964 -3.045340
## [1003] 0.728340 0.993408 -2.987484 0.850116 0.908740 -2.947708
## [1009] 1.062416 -8.317356 -1.439104 0.752124 0.956140 -2.490440
## [1015] -2.718988 -3.255292 -3.093360 0.291168 0.530968 0.408224
## [1021] -3.093016 -2.947732 -3.161372 -4.318788 1.031812 -6.973256
## [1027] -2.706956 0.536172 1.816048 1.083264 1.119160 -1.941268
## [1033] -2.409304 0.755864 0.357604 0.260416 0.431336 0.628428
## [1039] -0.617188 0.947796 -2.902424 0.326304 0.362448 -5.786780
## [1045] -2.917560 1.012848 1.329972 -2.451808 -7.089116 0.883608
## [1051] -2.870920 1.264952 -2.750780 -2.486196 0.988328 0.993404
## [1057] 0.877936 -3.022268 -17.364436 -0.066372 -2.756240 -2.525124
## [1063] 0.872036 1.392892 0.009604 -0.077088 0.637908 0.427356
## [1069] 0.324464 0.894808 1.141868 0.422436 -2.570684 0.945816
## [1075] -2.962768 1.328160 0.832660 0.777608 -2.798600 0.570772
## [1081] 0.793328 -2.918540 1.036496 -2.921432 0.827172 1.509728
## [1087] -2.683452 -2.779036 -0.135012 0.632940 1.190296 -2.802328
## [1093] -1.033468 -2.287172 -2.583952 -3.201900 0.445216 1.135808
## [1099] 0.878604 0.714044 0.938556 1.201520 -2.869256 0.874584
## [1105] 0.948876 -3.706032 0.846320 0.679824 1.214604 1.390280
## [1111] -5.366876 0.777616 2.171040 -6.793652 0.775268 0.456252
## [1117] 2.570824 0.459088 -2.864032 -3.921648 -2.021140 -2.785112
## [1123] -7.004008 -3.308716 1.159336 -2.545244 1.115216 -2.315168
## [1129] 0.703856 0.092480 -0.522956 -3.782372 -3.710392 -2.997628
## [1135] -2.647744 -6.660896 -3.147288 -3.028004 -6.883308 0.941564
## [1141] -3.163332 1.082408 0.742212 0.381048 0.634408 0.051556
## [1147] 0.561960 -2.802208 -3.392616 -2.796060 -2.333076 -2.823452
## [1153] -2.905896 -3.460692 0.407828 1.049216 1.030848 1.140924
## [1159] 0.673980 0.544380 0.783744 0.954876 0.752764 0.804792
## [1165] -2.810636 1.008652 -3.292352 0.908188 -3.434368 0.971620
## [1171] -8.005576 -3.651436 0.557320 0.431456 -2.948332 0.381816
## [1177] -2.988736 -3.113016 0.871464 -7.002176 -3.021468 0.657776
## [1183] -2.518420 0.779836 1.692844 1.688276 1.490584 1.287584
## [1189] 1.362424 -6.737348 1.138432 1.370872 -2.962420 -2.542592
## [1195] -2.076500 1.599392 -2.397424 -2.232676 -2.771272 0.773056
## [1201] 0.734988 0.471928 1.916116 -2.253116 0.483272 -2.601820
## [1207] 1.045012 0.527164 0.694616 0.541568 -2.888360 1.018428
## [1213] -2.859360 0.490968 0.557652 0.576708 -2.922436 -3.534120
## [1219] 1.061888 0.679684 -2.686260 -4.620836 1.148188 0.595360
## [1225] 0.929272 0.503968 0.947008 1.055996 1.434728 -2.878776
## [1231] -2.909532 0.582432 0.937208 -2.903864 0.916640 1.217000
## [1237] 1.239444 -3.870100 -2.834712 1.250140 0.797108 1.000324
## [1243] -2.776944 0.832884 0.954664 -2.484376 1.251232 1.006812
## [1249] 1.252128 -2.777004 -1.507024 1.164804 1.344048 -2.495712
## [1255] -3.483472 1.239504 1.146716 -2.697296 -2.089280 -0.202204
## [1261] 1.541212 -3.369552 -2.470232 -5.899952 -2.593580 0.994256
## [1267] -0.039044 0.835736 -2.509660 -2.762172 -2.655404 -2.490116
## [1273] 1.143128 -2.865792 1.678028 -3.640176 -2.590884 -2.917236
## [1279] 1.059680 -2.531360 1.142288 -2.389868 -2.585024 -2.738452
## [1285] 0.527048 -3.352092 1.190896 -2.386384 1.591224 1.137976
## [1291] 0.805908 0.755276 0.874944 1.263172 1.024960 1.078772
## [1297] 1.106416 -3.146288 1.433588 1.013544 -0.111396 -3.041044
## [1303] 0.946944 1.198136 1.190920 -3.538556 1.145320 0.297960
## [1309] -2.946492 -6.906316 -3.973576 -2.889404 1.207896 1.288112
## [1315] -3.047804 1.317832 0.570400 1.456744 1.078340 1.169908
## [1321] -3.198420 -2.851768 -3.089740 -3.938212 -3.038220 -2.847984
## [1327] 0.612776 -2.965764 -2.799332 -2.808988 1.446616 0.908792
## [1333] 1.042076 0.928396 -2.864728 0.808600 1.474476 -3.322976
## [1339] 1.540516 -3.031680 0.943976 -2.805060 -2.543792 1.153088
## [1345] 0.310672 0.472812 2.518376 -2.899964 0.604260 -2.777184
## [1351] 0.793092 0.870416 1.093620 0.750856 -0.006852 -3.194752
## [1357] -2.942388 -2.204568 -2.851780 -3.603832 0.716240 1.270608
## [1363] -3.740532 0.930088 1.240288 0.225376 -2.946976 1.273420
## [1369] 0.868004 -2.856352 -2.254216 -7.006496 -3.314636 -5.817508
## [1375] 0.669740 1.260088 1.142228 0.872004 -2.728456 1.382688
## [1381] 0.984240 -3.606388 1.141584 1.093200 1.117984 0.239032
## [1387] 0.996464 -2.679848 -3.657892 -2.704032 -2.628104 1.096204
## [1393] -2.704092 -3.246040 -2.822784 -2.687704 1.186756 -2.869464
## [1399] -7.291004 -1.513196 -2.248796 -3.104592 -2.448328 -2.485116
## [1405] -3.087512 0.811100 0.947856 -2.709192 -2.922828 1.193576
## [1411] 1.111580 -3.615472 1.725404 -3.105220 1.222848 -3.048244
## [1417] -6.951308 0.376640 -2.628896 0.324416 0.972100 -2.485356
## [1423] -6.959512 0.850580 1.020288 0.857596 -2.235400 1.614524
## [1429] -4.092700 -3.240516 -2.747836 -2.825732 -2.801308 -3.261716
## [1435] -2.629936 -2.679788 0.962676 -4.033004 1.261468 0.924152
## [1441] 1.285416 0.891320 0.749288 -3.645820 0.701328 -2.983308
## [1447] -3.642028 0.660156 -7.096952 -3.006772 0.558992 -3.686632
## [1453] 0.944616 1.477144 0.750244 0.435440 0.728400 -3.308720
## [1459] -5.153524 -4.121968 -3.848228 0.493888 0.719464 1.582104
## [1465] 0.880044 -2.673652 -2.744504 -3.060480 0.494156 -2.702352
## [1471] -2.626648 -3.077592 0.748744 -3.829492 -2.630956 0.944976
## [1477] -2.961324 1.190236 -3.281408 -3.038972 0.957756 -3.594216
## [1483] 1.319024 -3.048884 0.784688 1.378620 -3.238940 0.677808
## [1489] -3.355848 -4.973872 -2.852476 1.508896 -2.580364 -3.050952
## [1495] -6.515676 -3.047704 -2.628460 0.710872 0.152432 1.091248
## [1501] -2.951296 0.696116 -3.290968 -3.123564 1.405820 -2.551720
## [1507] 0.826260 -2.863348 -3.023812 0.616304 -6.598600 0.952840
## [1513] -3.284012 -3.047512 -2.441728 0.800952 -3.383156 -2.850156
## [1519] -2.982232 0.874464 1.337380 0.719488 1.128496 -2.722452
## [1525] -2.589584 -7.114496 -2.911596 0.877228 1.129424 1.044772
## [1531] -3.289688 -3.588184 0.881328 0.540908 -3.512872 0.606400
## [1537] -2.115232 1.484324 -2.971376 -2.815348 -2.875060 -2.996040
## [1543] 1.358312 -2.941108 -3.155632 1.016688 0.799452 0.801432
## [1549] -2.885912 1.299336 0.584276 1.327136 -2.721224 1.529716
## [1555] -7.395112 1.388460 0.777668 0.753424 -2.865024 -3.046556
## [1561] -1.216232 -3.278312 0.573176 -2.946232 -2.739308 0.200056
## [1567] 0.871064 0.656148 -2.566652 -2.487988 -3.023968 -2.758328
## [1573] -3.044656 -3.027148 -3.161148 0.561944 -3.059108 -1.105672
## [1579] 0.121340 -4.950660 0.335028 -4.897936 -2.538132 -3.504436
## [1585] -3.734028 -3.226664 1.017784 -3.033960 0.756136 -3.987340
## [1591] 1.116004 1.039816 1.691660 0.767824 0.885864 1.020768
## [1597] 1.017524 -0.112852 0.654764 0.972100 0.912560 0.879924
## [1603] 0.727380 -2.870140 1.150748 0.768792 -0.961192 -2.852976
## [1609] 0.439488 -2.953572 0.830392 0.973244 -3.061972 -3.007888
## [1615] 0.402676 0.680228 -2.558180 -2.956192 -3.044648 0.696356
## [1621] -2.806060 -3.029560 1.036372 1.194260 -3.135764 -2.692480
## [1627] 0.471852 -3.190344 -2.746516 -2.649800 0.969100 0.982548
## [1633] 1.311228 0.910364 0.581708 1.428300 -0.061932 1.359584
## [1639] -2.534084 1.750916 0.947676 1.142288 1.322592 -2.400652
## [1645] 1.395588 1.180136 1.478468 0.899460 1.548924 0.984648
## [1651] -3.047316 -2.838696 1.212724 1.165452 0.935488 1.312416
## [1657] 1.623328 -2.303876 0.716736 1.439168 0.441456 1.045012
## [1663] -0.034084 -3.812092 -0.700552 -9.532724 2.064028 -2.325968
## [1669] 1.101972 1.069316 1.142288 1.458120 0.810616 1.375068
## [1675] 0.941492 -8.979852 1.288052 -3.115176 1.076920 0.422528
## [1681] -10.116976 -2.695148 -3.900224 0.727920 0.873984 0.729060
## [1687] 0.850580 0.729060 0.697852 0.850520 0.801072 0.543628
## [1693] 0.399296 0.607720 -3.766372 0.798304 0.610940 1.878920
## [1699] 0.547888 1.044952 -2.752692 -0.328464 0.677024 1.004412
## [1705] 0.850912 0.460632 -3.307576 1.237112 -2.473564 -2.206580
## [1711] 1.254072 -2.546236 2.028164 0.360240 1.218336 1.312440
## [1717] 0.850196 1.076348 1.530088 -3.689212 0.386824 2.071616
## [1723] 1.246368 -2.488940 0.788976 -2.769412 1.483708 -3.045268
## [1729] 0.174860 1.415104 0.338944 0.777268 0.775612 -6.537752
## [1735] 1.138500 -3.040388 0.542432 -0.129144 1.106460 -3.105540
## [1741] 1.518972 1.694148 -2.758040 1.830916 1.113344 -2.765752
## [1747] 1.231656 -2.133488 1.449140 1.115988 -2.476864 1.536932
## [1753] 1.046292 -2.875668 1.077560 0.546368 0.427276 1.019772
## [1759] -3.312952 1.635992 -2.483680 1.049820 0.787472 1.145204
## [1765] -2.104300 -3.855552 1.336360 0.896884 1.530384 -2.455092
## [1771] -3.095624 -2.524092 -3.086252 -2.474164 -3.231612 -2.255368
## [1777] 0.944008 1.020768 -2.963404 0.389448 1.283492 1.360068
## [1783] 1.194332 1.447108 0.878412 1.208540 1.277520 1.392224
## [1789] 0.760512 -2.936596 1.327008 1.101944 0.962336 1.231772
## [1795] 1.403692 0.802472 1.231884 -2.728396 1.155268 -2.469812
## [1801] 1.461916 -3.207468 1.016748 -2.522412 -2.351744 -2.544964
## [1807] 1.658860 0.789984 1.132104 1.044204 0.781768 1.483976
## [1813] 1.019088 1.604188 -2.475868 1.237328 1.520628 0.933008
## [1819] -3.359792 1.188628 0.873872 -0.011088 1.178568 0.682984
## [1825] 1.679340 1.024940 -2.323488 -2.447972 1.306640 -2.940968
## [1831] 0.897008 -2.947388 1.340924 -2.282512 -7.092872 0.958512
## [1837] 1.191264 -2.072128 1.140532 1.215452 1.013408 1.112180
## [1843] 1.831088 1.459900 -3.240040 -3.317928 0.758144 1.073608
## [1849] 1.236416 1.482484 -2.874800 -2.367976 -2.898524 -2.809620
## [1855] 0.694436 -2.804668 -2.880816 -7.000396 -6.759204 -4.018112
## [1861] -7.566344 1.093020 -3.226568 -3.033276 -3.009060 -7.353180
## [1867] -3.416060 -2.755000 -2.782104 -2.712100 -6.975552 0.586132
## [1873] -2.704032 0.860504 -3.287508 1.113204 0.777668 0.230232
## [1879] 0.950032 0.855028 0.776672 -3.137536 -2.537444 -7.449236
## [1885] -3.479284 -2.727112 0.946596 0.542124 1.119128 -2.609752
## [1891] -7.278564 1.018608 1.196540 -7.169684 0.986804 0.806828
## [1897] -2.936180 -6.999736 -3.141504 0.534568 -2.803348 -2.731916
## [1903] -3.657184 -3.511644 -3.330904 -7.180268 0.983152 1.086060
## [1909] 1.073584 1.469712 0.969704 -2.909040 1.275692 0.933956
## [1915] 1.385948 -2.905568 -7.339696 1.193204 -6.762368 -7.270036
## [1921] 0.940120 -6.940716 -7.095200 -2.995680 -0.193848 -8.083932
## [1927] 1.069020 -3.315528 1.204660 -2.420904 -2.785472 -2.750776
## [1933] 1.190536 0.336752 0.286856 0.776824 -3.426532 -3.080996
## [1939] -3.232820 0.188524 -3.758460 -3.144772 1.020528 -2.801248
## [1945] -2.902004 -2.598448 0.777728 0.793408 -2.829512 0.945696
## [1951] -0.601032 -2.892568 -2.193648 -3.062804 1.073280 -4.515208
## [1957] -2.445040 -2.733136 -2.677568 -3.022768 -2.834756 -2.514224
## [1963] -0.900720 -3.025112 0.725700 -2.923568 -2.752124 1.343504
## [1969] -3.659032 -3.358668 0.843440 1.116452 0.930540 1.020768
## [1975] -6.344392 -3.068592 -6.779120 0.991004 0.890968 -2.828072
## [1981] -2.995860 0.788680 -2.910044 -2.649708 0.825220 -2.897504
## [1987] -2.859020 -2.801368 -2.728396 1.008888 -2.923848 0.631844
## [1993] -2.963624 -3.313288 -2.622996 0.984832 0.722424 -2.776392
## [1999] -3.327804 -2.958772 -2.654556 -2.632676 -2.957120 0.715896
## [2005] 0.773480 0.501324 -2.657884 -6.552892 -2.829088 -2.671244
## [2011] 0.836124 -2.754244 0.756724 0.874884 -2.540084 -6.927308
## [2017] 0.820196 0.706200 -2.876008 0.765208 -2.764880 -3.201580
## [2023] -0.013656 -2.683576 1.280928 -3.465640 -3.276532 -3.266852
## [2029] -2.990260 -3.053292 -4.640304 -2.996804 0.898956 0.911744
## [2035] -2.942356 0.585032 0.811052 -3.958464 -3.105640 0.765728
## [2041] -2.902884 -7.802160 -2.830688 -2.808192 1.046244 -7.077424
## [2047] -0.694392 0.498680 -1.964932 0.692504 0.796028 0.363200
## [2053] -2.862568 -3.966516 -3.463988 0.266644 -4.125856 -2.533968
## [2059] -3.306372 -2.581780 0.869304 -0.473876 -2.972156 -2.713588
## [2065] -2.695868 -3.053560 0.605136 -3.969396 -6.477280 -3.197180
## [2071] 0.907824 -3.172676 -3.126748 0.529228 0.334424 -2.531384
## [2077] 0.504684 -3.123364 -3.351012 0.801912 0.771724 -3.201512
## [2083] 0.348836 0.661260 -1.283312 0.731372 0.774184 0.042364
## [2089] -3.009088 -2.996732 1.044052 -3.064656 -2.622432 -7.211652
## [2095] -2.706432 -2.733024 -2.572540 1.262796 -2.123460 -3.068652
## [2101] 0.782444 -3.121664 -2.546140 -2.157668 -0.921864 0.693020
## [2107] -3.068292 0.388636 0.823036 0.607060 -3.331660 -3.050588
## [2113] 0.606580 1.246348 0.641176 0.894804 1.336660 0.916052
## [2119] -2.999400 -3.312008 -2.705772 -3.770592 -3.476400 0.776708
## [2125] -2.704032 -2.461052 -2.534384 -2.926264 0.410088 0.178484
## [2131] 0.816552 0.971080 -3.193044 0.697312 1.373688 -2.192088
## [2137] -2.583352 0.118432 -2.973656 -2.805868 1.487044 -7.862812
## [2143] 1.268872 -3.489712 -2.834060 -2.751920 -2.939152 -2.681108
## [2149] -2.952052 0.484220 -2.850216 -2.969032 -3.241120 0.946548
## [2155] -0.147324 -2.795600 0.826336 0.378920 -2.636640 0.996344
## [2161] -2.579320 1.290520 0.817696 -2.431208 -2.449288 1.090744
## [2167] -3.030884 0.443924 -2.267940 0.819628 -2.732056 0.822440
## [2173] 0.966192 -5.021352 0.714636 0.165152 1.139300 -2.613296
## [2179] -2.474172 -3.187332 0.926932 1.259548 -3.518292 0.725696
## [2185] -2.718840 -4.741132 0.999180 1.174288 1.446196 1.236324
## [2191] -2.977316 1.494332 -2.856264 -2.711276 0.707452 -4.097932
## [2197] 0.775732 -2.454836 -2.724528 -3.222268 1.033076 0.625116
## [2203] 0.531264 -3.021064 -3.236920 0.697688 1.221204 -2.606676
## [2209] -2.831048 -3.610268 1.022392 1.010456 0.858224 0.690492
## [2215] 0.770284 0.456208 -2.837500 -2.852320 -2.468900 1.024796
## [2221] -2.926604 -3.173184 1.151832 0.679324 0.237896 0.655848
## [2227] -2.778492 -2.603148 0.787868 -2.943628 0.225792 1.049340
## [2233] -2.731816 -2.799852 -2.845400 -0.047704 -3.207048 0.034952
## [2239] -3.473920 1.399612 1.520292 0.827924 -2.274168 0.663108
## [2245] 0.622112 1.030732 -0.415112 -3.279668 -4.037000 0.670612
## [2251] 0.687888 0.621148 -3.169608 -2.896228 -2.599964 -3.468608
## [2257] -3.723688 1.014908 0.101928 1.458240 0.609528 -2.582752
## [2263] 1.300724 1.175596 -2.844292 -2.311884 -3.267192 -2.951332
## [2269] 1.403756 -2.829764 0.897664 -2.448484 -2.636112 -2.631120
## [2275] -2.607836 1.168336 1.020008 1.004584 -3.014388 -2.581416
## [2281] 0.823836 0.987180 1.184744 -2.576068 0.920036 1.673916
## [2287] 1.633116 -2.570104 -3.010792 0.816672 0.724296 -4.098356
## [2293] -3.214416 0.704576 -2.947132 0.728700 -3.141504 -3.203212
## [2299] 0.845544 -3.118972 1.054616 1.704344 1.093380 0.988480
## [2305] 0.729060 -3.453888 -2.958196 0.609068 0.048952 0.697860
## [2311] -3.117260 -3.104048 0.874884 -3.685200 -2.995740 -2.849916
## [2317] -3.163004 1.218848 0.506028 -3.044588 0.413644 1.367984
## [2323] 1.009680 -3.563344 1.287992 -3.405520 -2.777044 -6.864736
## [2329] 1.057948 -2.899252 1.291028 0.980076 1.076808 1.189576
## [2335] -2.703012 -3.568220 0.791120 -2.622624 0.704816 -3.376200
## [2341] -2.362624 -2.859536 -2.611660 -2.906904 -2.588572 -3.271752
## [2347] -2.974108 -2.794224 0.126724 0.740628 0.884564 1.084204
## [2353] 0.364212 0.176304 -2.837172 1.178052 0.942396 -3.527784
## [2359] 0.802032 1.165700 0.637716 1.457352 0.825512 1.189756
## [2365] -3.510912 -2.859576 0.710332 -3.205952 -2.455752 -2.791288
## [2371] -3.011760 -1.895716 -1.415920 0.704456 0.141004 -2.971796
## [2377] 0.728940 0.656208 0.753184 0.394652 0.728700 -3.352172
## [2383] 1.040812 -3.486596 -2.837372 1.555276 1.033188 -3.920512
## [2389] -3.623932 0.826096 -5.179632 0.859820 -6.793060 -2.939092
## [2395] 1.008524 0.794828 -3.234644 1.110300 -7.035164 1.312352
## [2401] 0.873444 0.685252 -3.394160 -7.101048 -0.851544 0.814632
## [2407] -3.204004 -2.456128 0.755088 -3.620044 -2.491048 0.936080
## [2413] 0.461152 -3.020104 -2.971376 0.179100 0.851492 0.539040
## [2419] -2.739200 -2.682608 0.923492 1.020708 0.558640 -2.997180
## [2425] 0.274804 -1.512716 -2.975232 0.826036 0.819736 -3.173380
## [2431] -2.537472 -2.831248 -2.878792 0.871820 -2.633820 -1.324240
## [2437] 0.214220 0.923612 -3.080896 -2.190812 1.433756 -2.787056
## [2443] -2.924208 -2.612084 0.520836 0.367232 1.392648 -2.464500
## [2449] 0.989084 0.850340 0.563020 0.728880 0.799152 -2.999280
## [2455] -2.956216 0.654648 -2.879588 0.727692 0.722936 -2.867256
## [2461] 0.925292 0.972160 0.850640 -2.784856 -3.294268 0.583176
## [2467] -3.902024 -3.393732 -2.996280 0.762724 0.899488 0.881364
## [2473] -2.558268 -4.044932 -4.749048 0.814740 -3.323784 1.189876
## [2479] 0.753364 1.103408 -2.608772 -3.044348 -3.795232 1.020708
## [2485] 0.239832 -0.300664 -3.388916 0.749884 -9.434212 0.389788
## [2491] -2.742728 1.055752 0.869244 0.799872 -1.453100 0.836064
## [2497] 0.234732 -2.487228 -2.266440 0.271264 0.899128 1.029888
## [2503] 0.829880 -2.655424 -6.929612 -3.506748 -3.789388 0.501860
## [2509] 0.862104 -3.045728 0.826036 0.826336 -2.182488 0.869064
## [2515] 0.729120 0.753424 -2.923428 0.967468 -3.641952 -2.878540
## [2521] 0.572572 -2.801368 -3.399712 1.224924 -4.851372 0.575128
## [2527] -3.233956 -3.713764 -2.807404 0.437496 0.902128 0.972160
## [2533] 0.732832 -7.851960 -3.533172 0.581272 0.728820 -2.736076
## [2539] 0.612884 0.727500 -2.947972 0.947916 1.025868 0.948156
## [2545] 1.142108 0.874584 0.724520 -3.264644 -2.958292 -3.082632
## [2551] -2.679788 1.362048 -3.019420 1.190716 1.097280 -3.116752
## [2557] 0.917552 -2.362392 -2.984516 0.690480 -2.922532 0.653880
## [2563] 0.595144 0.781304 1.034496 -2.947192 -3.803696 0.598468
## [2569] -2.258320 0.884072 -3.104776 0.922712 0.524524 0.900384
## [2575] 0.399244 0.825736 -3.290356 0.715376 -2.961748 -3.767616
## [2581] 0.874644 0.849000 0.706856 0.729000 -3.142532 -2.925048
## [2587] -1.612184 -2.655304 -3.378128 -4.879288 0.919888 -2.720536
## [2593] -2.846436 0.682092 0.781756 -3.472964 -2.576684 1.422376
## [2599] -3.180240 -2.868760 -3.415652 -2.392352 0.996344 -0.447884
## [2605] -6.776632 0.874884 1.044892 -2.577320 -0.042272 0.850520
## [2611] 0.376744 -3.126124 0.541376 -2.913112 -2.831972 0.557432
## [2617] 1.030788 -0.316080 1.048428 -3.493972 0.673628 -3.454424
## [2623] -4.986276 -3.142712 0.005172 -2.440188 -3.767472 -2.714496
## [2629] -2.550768 -3.068772 -8.346192 0.899188 -2.894352 -2.746820
## [2635] -0.020124 0.146116 0.007564 1.385028 0.996404 1.366544
## [2641] -1.675452 1.099140 0.876564 0.899008 0.748140 -2.726412
## [2647] -2.802420 -7.449248 -3.221628 0.891864 -2.950252 0.704756
## [2653] 0.857848 0.850520 -2.874220 0.483800 -2.996100 -2.971256
## [2659] 1.089948 -3.185864 -3.205108 0.776228 -8.017724 0.995092
## [2665] -2.081772 0.487220 -2.955112 1.544908 0.230104 -3.596628
## [2671] -2.770900 -2.946892 -2.777184 0.826216 0.728156 -7.020848
## [2677] -3.994124 -2.283564 1.044892 0.606940 -2.995740 0.777488
## [2683] -2.944492 -3.185424 -3.308032 -3.520364 -2.947132 -3.092956
## [2689] -2.971496 0.680332 0.801972 0.653820 -7.769908 -2.728396
## [2695] -2.922888 -3.115104 0.923432 -2.849976 0.625296 -2.926008
## [2701] -3.044348 0.604064 1.093560 -2.948392 -2.752700 -2.971376
## [2707] -2.939988 0.573880 -2.457244 -2.705264 1.125704 -2.476396
## [2713] -2.655764 1.909356 -2.733196 -2.801428 -4.543212 -6.880796
## [2719] 0.656404 -2.849976 -3.324660 -3.535692 0.725280 -3.142164
## [2725] -3.020524 -2.802148 -2.900564 0.520240 0.816880 -6.430256
## [2731] -3.100304 0.811392 -4.238708 -2.969516 -2.943892 -3.331492
## [2737] -3.333308 0.632684 -3.022444 0.675592 -2.714700 -2.854396
## [2743] -3.415180 0.946896 0.973484 -3.673884 -2.705052 0.870204
## [2749] 0.872844 0.230596 0.691268 0.912988 -3.055928 1.219720
## [2755] -3.199320 -7.139708 0.639444 0.872380 1.012900 1.018428
## [2761] 1.164792 -2.994540 -2.776336 -2.631420 -7.419848 0.613300
## [2767] -3.139752 -2.897444 -2.964416 1.047280 0.849272 0.792276
## [2773] -3.569688 -0.249044 1.020468 0.728580 0.680848 0.801612
## [2779] -0.644328 -2.708372 -3.234668 -3.076348 1.186708 -6.347228
## [2785] 0.950680 -2.483256 0.959344 -6.906048 -3.279280 -3.878984
## [2791] 0.719520 -6.608460 -2.998620 -2.930024 -7.049476 0.698592
## [2797] 2.707236 -2.682108 -7.905792 -6.597328 0.765216 -2.712212
## [2803] -2.923008 -4.882992 -2.996580 -2.936740 1.763584 -0.469956
## [2809] -3.967916 -2.926612 -2.621484 -3.586820 0.874944 1.042436
## [2815] -2.933596 -3.306100 0.826216 0.899128 -2.835636 0.801792
## [2821] -2.681288 -3.593188 1.697396 0.976636 0.881612 0.720548
## [2827] 0.751632 0.748620 1.020768 -3.036780 0.069068 0.938988
## [2833] 0.512832 0.363708 -2.640328 -2.753480 -3.057700 1.206860
## [2839] 1.426564 1.166188 -3.591740 0.814268 -2.857848 0.748188
## [2845] 0.885680 1.408912 0.826216 1.188684 -3.181600 1.036436
## [2851] -3.403120 -2.813732 -3.362796 0.761412 -3.130152 -5.305764
## [2857] 0.904472 -8.332220 -2.628044 -2.920916 -2.819344 1.165068
## [2863] 0.912228 -2.801368 -2.695324 0.686676 -3.035860 -2.950064
## [2869] -2.680064 -11.282116 0.531904 -2.047944 -1.201204 1.131032
## [2875] -5.481632 0.887632 -2.953892 -2.657772 0.570216 -0.298584
## [2881] 0.802152 -0.868948 1.635180 -4.646284 -7.003128 0.851720
## [2887] 1.067216 -2.699648 -2.655124 -3.634564 0.332688 -3.065580
## [2893] -2.627036 0.800652 -3.915904 -3.986788 -2.494192 1.066800
## [2899] -2.951208 0.718212 -8.677620 -7.157588 -3.459964 -6.394780
## [2905] 0.663728 -3.201180 -2.874220 -4.316532 0.972100 0.832064
## [2911] 2.130076 0.955516 -4.040080 -6.818016 0.848120 -3.421172
## [2917] 0.546668 -7.041520 -3.266248 -7.350516 0.711712 -3.111472
## [2923] 0.979668 0.899248 -3.138592 0.994480 0.448248 0.971560
## [2929] 0.738108 0.939276 0.853520 1.125408 -3.190792 1.163288
## [2935] -0.214668 0.894940 1.842624 -2.743692 -0.421152 1.017228
## [2941] -3.129232 -2.562432 1.479604 1.020708 1.052508 0.761180
## [2947] -2.861916 0.405928 0.618880 1.428152 -3.398776 1.131100
## [2953] 0.454120 0.066292 -2.789840 1.017768 0.556832 0.852504
## [2959] -3.100336 -3.420820 -2.971376 -2.906676 -2.752640 -2.974916
## [2965] -7.248700 1.263688 -5.203856 -3.908224 -2.524492 0.656088
## [2971] -2.947132 0.725664 0.871112 -3.130092 -3.669072 0.777548
## [2977] 0.956976 -2.648200 1.171896 -3.143364 -2.528264 -2.900744
## [2983] -3.385840 1.239504 -2.922828 -3.029824 -4.330496 -2.814572
## [2989] -2.684468 0.583296 0.026724 1.041840 -3.067452 0.717596
## [2995] 0.703556 -4.207200 -3.238780 -2.943772 0.345576 0.823396
## [3001] -3.020104 0.995924 0.777132 -2.167340 0.923492 1.033608
## [3007] -2.854116 1.063336 0.689900 -0.051488 -0.574924 -3.263180
## [3013] 0.027960 -2.466152 -4.493296 0.440148 -4.408304 1.411912
## [3019] 0.060148 0.644888 -3.454984 0.312204 0.486080 0.569496
## [3025] 0.716232 -7.188472 -2.713904 0.801972 0.877952 -3.121100
## [3031] 0.769140 -2.412504 1.727388 0.579636 -0.084368 -2.922828
## [3037] 1.749888 -0.321160 -2.699292 0.827656 -3.732892 0.700620
## [3043] 0.255928 -2.385596 0.872004 -2.825732 1.121344 -0.862272
## [3049] 0.753304 -3.542520 -8.440860 -1.319032 -3.170872 0.510804
## [3055] 0.631904 -3.804988 -2.801308 -3.029640 0.616020 1.054896
## [3061] -3.314560 -3.913116 0.249332 -2.582572 -2.801248 0.888740
## [3067] 0.777728 1.000308 -2.919828 0.864140 1.069316 1.440540
## [3073] -2.752640 1.020768 1.045072 0.679912 0.729796 -2.704152
## [3079] 1.020768 0.777668 1.020768 0.820440 1.020648 -2.858516
## [3085] -4.045752 0.920672 0.293772 0.922232 0.603224 1.697688
## [3091] -3.519552bankrupt$BRKFSST = exp(initial)/(1+exp(initial))
for (i in seq(0.4, .6, 0.05)) {
i <- as.numeric(i)
bankrupt$temp <- ifelse(bankrupt$BRKFSST > i, 1, 0)
# Ensure both variables are factors with the same levels
bankrupt$Bankrupt <- as.factor(bankrupt$Bankrupt)
bankrupt$temp <- factor(bankrupt$temp, levels = levels(bankrupt$Bankrupt))
# Create the confusion matrix
cm <- table(bankrupt$Bankrupt, bankrupt$temp)
# Calculate and print the accuracy
accuracy <- sum(diag(cm)) / sum(cm)
precision=round(cm[2,2]/sum(cm[,2]),3)
recall=round(cm[2,2]/sum(cm[2,]),3)
print(paste("Threshold:", i, "Accuracy:", accuracy, "Precision", precision, "Recall", recall))
# Print the diagonal of the confusion matrix
print(cm)
}## [1] "Threshold: 0.4 Accuracy: 0.763217645150827 Precision 0.06 Recall 0.692"
##
## 0 1
## 0 2308 710
## 1 20 45
## [1] "Threshold: 0.45 Accuracy: 0.790463833927992 Precision 0.064 Recall 0.662"
##
## 0 1
## 0 2394 624
## 1 22 43
## [1] "Threshold: 0.5 Accuracy: 0.808627959779436 Precision 0.06 Recall 0.554"
##
## 0 1
## 0 2457 561
## 1 29 36
## [1] "Threshold: 0.55 Accuracy: 0.831657476483944 Precision 0.06 Recall 0.477"
##
## 0 1
## 0 2533 485
## 1 34 31
## [1] "Threshold: 0.6 Accuracy: 0.848848524164775 Precision 0.061 Recall 0.431"
##
## 0 1
## 0 2589 429
## 1 37 28quantile(initial, seq(.05,.95,.05))## 5% 10% 15% 20% 25% 30%
## -5.24875974 -4.47706088 -3.95035373 -3.60556121 -3.28052310 -2.94250080
## 35% 40% 45% 50% 55% 60%
## -2.63311037 -2.33397648 -2.05653235 -1.80760759 -1.54025590 -1.26015379
## 65% 70% 75% 80% 85% 90%
## -0.98324451 -0.70957655 -0.43001376 -0.04541642 0.40824952 0.88900632
## 95%
## 1.54988058table(bankrupt$Bankrupt, round(bankrupt$initial,0))##
## -11265203484 -534717831 -23 -18 -12 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1
## 0 1 1 1 1 2 3 2 12 31 76 174 353 492 569 551
## 1 0 0 0 0 0 0 0 0 0 0 0 0 3 4 12
##
## 0 1 2 3 11 47 90 24630276 103972933 123816216 153632098
## 0 354 251 124 18 1 0 1 1 1 1 1
## 1 20 14 8 3 0 1 0 0 0 0 0
##
## 336515567 416002001 3575805691 5780592028
## 0 1 1 1 1
## 1 0 0 0 0Citations
suppressWarnings({
temp=library()$results[,1]
lapply(temp, citation)})## [[1]]
## To cite package 'abind' in publications use:
##
## Plate T, Heiberger R (2024). _abind: Combine Multidimensional
## Arrays_. doi:10.32614/CRAN.package.abind
## <https://doi.org/10.32614/CRAN.package.abind>, R package version
## 1.4-8, <https://CRAN.R-project.org/package=abind>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {abind: Combine Multidimensional Arrays},
## author = {Tony Plate and Richard Heiberger},
## year = {2024},
## note = {R package version 1.4-8},
## url = {https://CRAN.R-project.org/package=abind},
## doi = {10.32614/CRAN.package.abind},
## }
##
## [[2]]
## To cite Amelia in publications use:
##
## James Honaker, Gary King, Matthew Blackwell (2011). Amelia II: A
## Program for Missing Data. Journal of Statistical Software, 45(7),
## 1-47. URL https://www.jstatsoft.org/v45/i07/.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {{Amelia II}: A Program for Missing Data},
## author = {James Honaker and Gary King and Matthew Blackwell},
## journal = {Journal of Statistical Software},
## year = {2011},
## volume = {45},
## number = {7},
## pages = {1--47},
## doi = {10.18637/jss.v045.i07},
## }
##
## [[3]]
## To cite package 'anytime' in publications use:
##
## Eddelbuettel D (2024). _anytime: Anything to 'POSIXct' or 'Date'
## Converter_. doi:10.32614/CRAN.package.anytime
## <https://doi.org/10.32614/CRAN.package.anytime>, R package version
## 0.3.11, <https://CRAN.R-project.org/package=anytime>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {anytime: Anything to 'POSIXct' or 'Date' Converter},
## author = {Dirk Eddelbuettel},
## year = {2024},
## note = {R package version 0.3.11},
## url = {https://CRAN.R-project.org/package=anytime},
## doi = {10.32614/CRAN.package.anytime},
## }
##
## [[4]]
## To cite package 'askpass' in publications use:
##
## Ooms J (2024). _askpass: Password Entry Utilities for R, Git, and
## SSH_. doi:10.32614/CRAN.package.askpass
## <https://doi.org/10.32614/CRAN.package.askpass>, R package version
## 1.2.1, <https://CRAN.R-project.org/package=askpass>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {askpass: Password Entry Utilities for R, Git, and SSH},
## author = {Jeroen Ooms},
## year = {2024},
## note = {R package version 1.2.1},
## url = {https://CRAN.R-project.org/package=askpass},
## doi = {10.32614/CRAN.package.askpass},
## }
##
## [[5]]
## To cite package 'backports' in publications use:
##
## Lang M, Murdoch D, R Core Team (2024). _backports: Reimplementations
## of Functions Introduced Since R-3.0.0_.
## doi:10.32614/CRAN.package.backports
## <https://doi.org/10.32614/CRAN.package.backports>, R package version
## 1.5.0, <https://CRAN.R-project.org/package=backports>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {backports: Reimplementations of Functions Introduced Since R-3.0.0},
## author = {Michel Lang and Duncan Murdoch and {R Core Team}},
## year = {2024},
## note = {R package version 1.5.0},
## url = {https://CRAN.R-project.org/package=backports},
## doi = {10.32614/CRAN.package.backports},
## }
##
## [[6]]
## To cite R in publications use:
##
## R Core Team (2025). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R: A Language and Environment for Statistical Computing},
## author = {{R Core Team}},
## organization = {R Foundation for Statistical Computing},
## address = {Vienna, Austria},
## year = {2025},
## url = {https://www.R-project.org/},
## }
##
## We have invested a lot of time and effort in creating R, please cite it
## when using it for data analysis. See also 'citation("pkgname")' for
## citing R packages.
##
## [[7]]
## To cite package 'base64enc' in publications use:
##
## Urbanek S (2015). _base64enc: Tools for base64 encoding_.
## doi:10.32614/CRAN.package.base64enc
## <https://doi.org/10.32614/CRAN.package.base64enc>, R package version
## 0.1-3, <https://CRAN.R-project.org/package=base64enc>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {base64enc: Tools for base64 encoding},
## author = {Simon Urbanek},
## year = {2015},
## note = {R package version 0.1-3},
## url = {https://CRAN.R-project.org/package=base64enc},
## doi = {10.32614/CRAN.package.base64enc},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[8]]
## To cite package 'BH' in publications use:
##
## Eddelbuettel D, Emerson J, Kane M (2024). _BH: Boost C++ Header
## Files_. doi:10.32614/CRAN.package.BH
## <https://doi.org/10.32614/CRAN.package.BH>, R package version
## 1.87.0-1, <https://CRAN.R-project.org/package=BH>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {BH: Boost C++ Header Files},
## author = {Dirk Eddelbuettel and John W. Emerson and Michael J. Kane},
## year = {2024},
## note = {R package version 1.87.0-1},
## url = {https://CRAN.R-project.org/package=BH},
## doi = {10.32614/CRAN.package.BH},
## }
##
## [[9]]
## To cite package 'bit' in publications use:
##
## Chirico M, Oehlschlägel J (2025). _bit: Classes and Methods for Fast
## Memory-Efficient Boolean Selections_. doi:10.32614/CRAN.package.bit
## <https://doi.org/10.32614/CRAN.package.bit>, R package version 4.6.0,
## <https://CRAN.R-project.org/package=bit>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {bit: Classes and Methods for Fast Memory-Efficient Boolean Selections},
## author = {Michael Chirico and Jens Oehlschlägel},
## year = {2025},
## note = {R package version 4.6.0},
## url = {https://CRAN.R-project.org/package=bit},
## doi = {10.32614/CRAN.package.bit},
## }
##
## [[10]]
## To cite package 'bit64' in publications use:
##
## Chirico M, Oehlschlägel J (2025). _bit64: A S3 Class for Vectors of
## 64bit Integers_. doi:10.32614/CRAN.package.bit64
## <https://doi.org/10.32614/CRAN.package.bit64>, R package version
## 4.6.0-1, <https://CRAN.R-project.org/package=bit64>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {bit64: A S3 Class for Vectors of 64bit Integers},
## author = {Michael Chirico and Jens Oehlschlägel},
## year = {2025},
## note = {R package version 4.6.0-1},
## url = {https://CRAN.R-project.org/package=bit64},
## doi = {10.32614/CRAN.package.bit64},
## }
##
## [[11]]
## To cite package 'bitops' in publications use:
##
## Dutky S, Maechler M (2024). _bitops: Bitwise Operations_.
## doi:10.32614/CRAN.package.bitops
## <https://doi.org/10.32614/CRAN.package.bitops>, R package version
## 1.0-9, <https://CRAN.R-project.org/package=bitops>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {bitops: Bitwise Operations},
## author = {Steve Dutky and Martin Maechler},
## year = {2024},
## note = {R package version 1.0-9},
## url = {https://CRAN.R-project.org/package=bitops},
## doi = {10.32614/CRAN.package.bitops},
## }
##
## [[12]]
## To cite package 'blob' in publications use:
##
## Wickham H (2023). _blob: A Simple S3 Class for Representing Vectors
## of Binary Data ('BLOBS')_. doi:10.32614/CRAN.package.blob
## <https://doi.org/10.32614/CRAN.package.blob>, R package version
## 1.2.4, <https://CRAN.R-project.org/package=blob>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {blob: A Simple S3 Class for Representing Vectors of Binary Data
## ('BLOBS')},
## author = {Hadley Wickham},
## year = {2023},
## note = {R package version 1.2.4},
## url = {https://CRAN.R-project.org/package=blob},
## doi = {10.32614/CRAN.package.blob},
## }
##
## [[13]]
## To cite package 'blockmatrix' in publications use:
##
## Cordano E (2014). _blockmatrix: blockmatrix: Tools to solve algebraic
## systems with partitioned matrices_.
## doi:10.32614/CRAN.package.blockmatrix
## <https://doi.org/10.32614/CRAN.package.blockmatrix>, R package
## version 1.0, <https://CRAN.R-project.org/package=blockmatrix>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {blockmatrix: blockmatrix: Tools to solve algebraic systems with partitioned
## matrices},
## author = {Emanuele Cordano},
## year = {2014},
## note = {R package version 1.0},
## url = {https://CRAN.R-project.org/package=blockmatrix},
## doi = {10.32614/CRAN.package.blockmatrix},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[14]]
## To cite bnlearn in publications use the most appropriate among:
##
## A teaching book about Bayesian networks based on bnlearn:
##
## Marco Scutari, Jean-Baptiste Denis. (2021) Bayesian Networks with
## Examples in R, 2nd edition. Chapman and Hall, Boca Raton. ISBN
## 978-0367366513.
##
## To cite applications of Bayesian networks in genetics and systems
## biology you may want to use:
##
## Radhakrishnan Nagarajan, Marco Scutari, Sophie Lebre. (2013) Bayesian
## Networks in R with Applications in Systems Biology. Springer, New
## York. ISBN 978-1-4614-6445-7.
##
## To cite parallel computing for bnlearn in publications use:
##
## Marco Scutari (2017). Bayesian Network Constraint-Based Structure
## Learning Algorithms: Parallel and Optimized Implementations in the
## bnlearn R Package. Journal of Statistical Software, 77(2), 1-20.
## doi:10.18637/jss.v077.i02
##
## To cite general use of bnlearn in publications use:
##
## Marco Scutari (2010). Learning Bayesian Networks with the bnlearn R
## Package. Journal of Statistical Software, 35(3), 1-22. URL
## http://www.jstatsoft.org/v35/i03/.
##
## This last is the original JSS paper for the package.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[15]]
## To cite the 'boot' package in publications use:
##
## Angelo Canty and Brian Ripley (2024). boot: Bootstrap R (S-Plus)
## Functions. R package version 1.3-31.
##
## Davison, A. C. & Hinkley, D. V. (1997) Bootstrap Methods and Their
## Applications. Cambridge University Press, Cambridge. ISBN
## 0-521-57391-2
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[16]]
## To cite package 'broom' in publications use:
##
## Robinson D, Hayes A, Couch S (2025). _broom: Convert Statistical
## Objects into Tidy Tibbles_. doi:10.32614/CRAN.package.broom
## <https://doi.org/10.32614/CRAN.package.broom>, R package version
## 1.0.8, <https://CRAN.R-project.org/package=broom>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {broom: Convert Statistical Objects into Tidy Tibbles},
## author = {David Robinson and Alex Hayes and Simon Couch},
## year = {2025},
## note = {R package version 1.0.8},
## url = {https://CRAN.R-project.org/package=broom},
## doi = {10.32614/CRAN.package.broom},
## }
##
## [[17]]
## To cite package 'bslib' in publications use:
##
## Sievert C, Cheng J, Aden-Buie G (2025). _bslib: Custom 'Bootstrap'
## 'Sass' Themes for 'shiny' and 'rmarkdown'_.
## doi:10.32614/CRAN.package.bslib
## <https://doi.org/10.32614/CRAN.package.bslib>, R package version
## 0.9.0, <https://CRAN.R-project.org/package=bslib>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {bslib: Custom 'Bootstrap' 'Sass' Themes for 'shiny' and 'rmarkdown'},
## author = {Carson Sievert and Joe Cheng and Garrick Aden-Buie},
## year = {2025},
## note = {R package version 0.9.0},
## url = {https://CRAN.R-project.org/package=bslib},
## doi = {10.32614/CRAN.package.bslib},
## }
##
## [[18]]
## To cite package 'C50' in publications use:
##
## Kuhn M, Quinlan R (2025). _C50: C5.0 Decision Trees and Rule-Based
## Models_. doi:10.32614/CRAN.package.C50
## <https://doi.org/10.32614/CRAN.package.C50>, R package version 0.2.0,
## <https://CRAN.R-project.org/package=C50>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {C50: C5.0 Decision Trees and Rule-Based Models},
## author = {Max Kuhn and Ross Quinlan},
## year = {2025},
## note = {R package version 0.2.0},
## url = {https://CRAN.R-project.org/package=C50},
## doi = {10.32614/CRAN.package.C50},
## }
##
## [[19]]
## To cite package 'cachem' in publications use:
##
## Chang W (2024). _cachem: Cache R Objects with Automatic Pruning_.
## doi:10.32614/CRAN.package.cachem
## <https://doi.org/10.32614/CRAN.package.cachem>, R package version
## 1.1.0, <https://CRAN.R-project.org/package=cachem>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {cachem: Cache R Objects with Automatic Pruning},
## author = {Winston Chang},
## year = {2024},
## note = {R package version 1.1.0},
## url = {https://CRAN.R-project.org/package=cachem},
## doi = {10.32614/CRAN.package.cachem},
## }
##
## [[20]]
## To cite package 'callr' in publications use:
##
## Csárdi G, Chang W (2024). _callr: Call R from R_.
## doi:10.32614/CRAN.package.callr
## <https://doi.org/10.32614/CRAN.package.callr>, R package version
## 3.7.6, <https://CRAN.R-project.org/package=callr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {callr: Call R from R},
## author = {Gábor Csárdi and Winston Chang},
## year = {2024},
## note = {R package version 3.7.6},
## url = {https://CRAN.R-project.org/package=callr},
## doi = {10.32614/CRAN.package.callr},
## }
##
## [[21]]
## To cite the car package in publications use:
##
## Fox J, Weisberg S (2019). _An R Companion to Applied Regression_,
## Third edition. Sage, Thousand Oaks CA.
## <https://www.john-fox.ca/Companion/>.
##
## A BibTeX entry for LaTeX users is
##
## @Book{,
## title = {An {R} Companion to Applied Regression},
## edition = {Third},
## author = {John Fox and Sanford Weisberg},
## year = {2019},
## publisher = {Sage},
## address = {Thousand Oaks {CA}},
## url = {https://www.john-fox.ca/Companion/},
## }
##
## [[22]]
## To cite package 'caracas' in publications use:
##
## Andersen M, Højsgaard S (2023). _caracas: Computer Algebra_.
## doi:10.32614/CRAN.package.caracas
## <https://doi.org/10.32614/CRAN.package.caracas>, R package version
## 2.1.1, <https://CRAN.R-project.org/package=caracas>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {caracas: Computer Algebra},
## author = {Mikkel Meyer Andersen and Søren Højsgaard},
## year = {2023},
## note = {R package version 2.1.1},
## url = {https://CRAN.R-project.org/package=caracas},
## doi = {10.32614/CRAN.package.caracas},
## }
##
## [[23]]
## To cite package 'carData' in publications use:
##
## Fox J, Weisberg S, Price B (2022). _carData: Companion to Applied
## Regression Data Sets_. doi:10.32614/CRAN.package.carData
## <https://doi.org/10.32614/CRAN.package.carData>, R package version
## 3.0-5, <https://CRAN.R-project.org/package=carData>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {carData: Companion to Applied Regression Data Sets},
## author = {John Fox and Sanford Weisberg and Brad Price},
## year = {2022},
## note = {R package version 3.0-5},
## url = {https://CRAN.R-project.org/package=carData},
## doi = {10.32614/CRAN.package.carData},
## }
##
## [[24]]
## To cite caret in publications use:
##
## Kuhn, M. (2008). Building Predictive Models in R Using the caret
## Package. Journal of Statistical Software, 28(5), 1–26.
## https://doi.org/10.18637/jss.v028.i05
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Building Predictive Models in R Using the caret Package},
## volume = {28},
## url = {https://www.jstatsoft.org/index.php/jss/article/view/v028i05},
## doi = {10.18637/jss.v028.i05},
## number = {5},
## journal = {Journal of Statistical Software},
## author = {{Kuhn} and {Max}},
## year = {2008},
## pages = {1–26},
## }
##
## [[25]]
## To cite package 'caTools' in publications use:
##
## Tuszynski J (2024). _caTools: Tools: Moving Window Statistics, GIF,
## Base64, ROC AUC, etc_. doi:10.32614/CRAN.package.caTools
## <https://doi.org/10.32614/CRAN.package.caTools>, R package version
## 1.18.3, <https://CRAN.R-project.org/package=caTools>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {caTools: Tools: Moving Window Statistics, GIF, Base64, ROC AUC, etc},
## author = {Jarek Tuszynski},
## year = {2024},
## note = {R package version 1.18.3},
## url = {https://CRAN.R-project.org/package=caTools},
## doi = {10.32614/CRAN.package.caTools},
## }
##
## [[26]]
## To cite package 'cellranger' in publications use:
##
## Bryan J (2016). _cellranger: Translate Spreadsheet Cell Ranges to
## Rows and Columns_. doi:10.32614/CRAN.package.cellranger
## <https://doi.org/10.32614/CRAN.package.cellranger>, R package version
## 1.1.0, <https://CRAN.R-project.org/package=cellranger>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {cellranger: Translate Spreadsheet Cell Ranges to Rows and Columns},
## author = {Jennifer Bryan},
## year = {2016},
## note = {R package version 1.1.0},
## url = {https://CRAN.R-project.org/package=cellranger},
## doi = {10.32614/CRAN.package.cellranger},
## }
##
## [[27]]
## To cite package 'checkmate' in publications use:
##
## Lang M (2017). "checkmate: Fast Argument Checks for Defensive R
## Programming." _The R Journal_, *9*(1), 437-445.
## doi:10.32614/RJ-2017-028 <https://doi.org/10.32614/RJ-2017-028>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{checkmate,
## title = {{checkmate}: Fast Argument Checks for Defensive {R} Programming},
## author = {Michel Lang},
## journal = {The R Journal},
## year = {2017},
## doi = {10.32614/RJ-2017-028},
## pages = {437--445},
## volume = {9},
## number = {1},
## }
##
## [[28]]
## To cite the class package in publications use:
##
## Venables, W. N. & Ripley, B. D. (2002) Modern Applied Statistics with
## S. Fourth Edition. Springer, New York. ISBN 0-387-95457-0
##
## A BibTeX entry for LaTeX users is
##
## @Book{,
## title = {Modern Applied Statistics with S},
## author = {W. N. Venables and B. D. Ripley},
## publisher = {Springer},
## edition = {Fourth},
## address = {New York},
## year = {2002},
## note = {ISBN 0-387-95457-0},
## url = {https://www.stats.ox.ac.uk/pub/MASS4/},
## }
##
## [[29]]
## To cite package 'classInt' in publications use:
##
## Bivand R (2025). _classInt: Choose Univariate Class Intervals_.
## doi:10.32614/CRAN.package.classInt
## <https://doi.org/10.32614/CRAN.package.classInt>, R package version
## 0.4-11, <https://CRAN.R-project.org/package=classInt>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {classInt: Choose Univariate Class Intervals},
## author = {Roger Bivand},
## year = {2025},
## note = {R package version 0.4-11},
## url = {https://CRAN.R-project.org/package=classInt},
## doi = {10.32614/CRAN.package.classInt},
## }
##
## [[30]]
## To cite package 'cli' in publications use:
##
## Csárdi G (2025). _cli: Helpers for Developing Command Line
## Interfaces_. doi:10.32614/CRAN.package.cli
## <https://doi.org/10.32614/CRAN.package.cli>, R package version 3.6.4,
## <https://CRAN.R-project.org/package=cli>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {cli: Helpers for Developing Command Line Interfaces},
## author = {Gábor Csárdi},
## year = {2025},
## note = {R package version 3.6.4},
## url = {https://CRAN.R-project.org/package=cli},
## doi = {10.32614/CRAN.package.cli},
## }
##
## [[31]]
## To cite package 'clipr' in publications use:
##
## Lincoln M (2022). _clipr: Read and Write from the System Clipboard_.
## doi:10.32614/CRAN.package.clipr
## <https://doi.org/10.32614/CRAN.package.clipr>, R package version
## 0.8.0, <https://CRAN.R-project.org/package=clipr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {clipr: Read and Write from the System Clipboard},
## author = {Matthew Lincoln},
## year = {2022},
## note = {R package version 0.8.0},
## url = {https://CRAN.R-project.org/package=clipr},
## doi = {10.32614/CRAN.package.clipr},
## }
##
## [[32]]
## To cite package 'clock' in publications use:
##
## Vaughan D (2025). _clock: Date-Time Types and Tools_.
## doi:10.32614/CRAN.package.clock
## <https://doi.org/10.32614/CRAN.package.clock>, R package version
## 0.7.3, <https://CRAN.R-project.org/package=clock>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {clock: Date-Time Types and Tools},
## author = {Davis Vaughan},
## year = {2025},
## note = {R package version 0.7.3},
## url = {https://CRAN.R-project.org/package=clock},
## doi = {10.32614/CRAN.package.clock},
## }
##
## [[33]]
## To cite package 'clue' in publications use:
##
## Hornik K (2024). _clue: Cluster Ensembles_.
## doi:10.32614/CRAN.package.clue
## <https://doi.org/10.32614/CRAN.package.clue>, R package version
## 0.3-66, <https://CRAN.R-project.org/package=clue>.
##
## Hornik K (2005). "A CLUE for CLUster Ensembles." _Journal of
## Statistical Software_, *14*(12). doi:10.18637/jss.v014.i12
## <https://doi.org/10.18637/jss.v014.i12>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[34]]
## To cite the R package cluster in publications use:
##
## Maechler, M., Rousseeuw, P., Struyf, A., Hubert, M., Hornik,
## K.(2025). cluster: Cluster Analysis Basics and Extensions. R package
## version 2.1.8.1.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {cluster: Cluster Analysis Basics and Extensions},
## author = {Martin Maechler and Peter Rousseeuw and Anja Struyf and Mia Hubert and Kurt Hornik},
## year = {2025},
## url = {https://CRAN.R-project.org/package=cluster},
## note = {R package version 2.1.8.1 --- For new features, see the 'NEWS' and the 'Changelog' file in the package source)},
## }
##
## [[35]]
## To cite package coda in publications use:
##
## Martyn Plummer, Nicky Best, Kate Cowles and Karen Vines (2006). CODA:
## Convergence Diagnosis and Output Analysis for MCMC, R News, vol 6,
## 7-11
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {CODA: Convergence Diagnosis and Output Analysis for MCMC},
## author = {Martyn Plummer and Nicky Best and Kate Cowles and Karen Vines},
## journal = {R News},
## year = {2006},
## volume = {6},
## number = {1},
## pages = {7--11},
## url = {https://journal.r-project.org/archive/},
## pdf = {https://www.r-project.org/doc/Rnews/Rnews_2006-1.pdf},
## }
##
## [[36]]
## To cite package 'codetools' in publications use:
##
## Tierney L (2024). _codetools: Code Analysis Tools for R_.
## doi:10.32614/CRAN.package.codetools
## <https://doi.org/10.32614/CRAN.package.codetools>, R package version
## 0.2-20, <https://CRAN.R-project.org/package=codetools>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {codetools: Code Analysis Tools for R},
## author = {Luke Tierney},
## year = {2024},
## note = {R package version 0.2-20},
## url = {https://CRAN.R-project.org/package=codetools},
## doi = {10.32614/CRAN.package.codetools},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[37]]
## To cite colorspace in publications use:
##
## Zeileis A, Fisher JC, Hornik K, Ihaka R, McWhite CD, Murrell P,
## Stauffer R, Wilke CO (2020). "colorspace: A Toolbox for Manipulating
## and Assessing Colors and Palettes." _Journal of Statistical
## Software_, *96*(1), 1-49. doi:10.18637/jss.v096.i01
## <https://doi.org/10.18637/jss.v096.i01>.
##
## If you use HCL-based color palettes, please cite:
##
## Zeileis A, Hornik K, Murrell P (2009). "Escaping RGBland: Selecting
## Colors for Statistical Graphics." _Computational Statistics & Data
## Analysis_, *53*(9), 3259-3270. doi:10.1016/j.csda.2008.11.033
## <https://doi.org/10.1016/j.csda.2008.11.033>.
##
## If you use HCL-based color palettes in meteorological visualizations,
## please cite:
##
## Stauffer R, Mayr GJ, Dabernig M, Zeileis A (2009). "Somewhere over
## the Rainbow: How to Make Effective Use of Colors in Meteorological
## Visualizations." _Bulletin of the American Meteorological Society_,
## *96*(2), 203-216. doi:10.1175/BAMS-D-13-00155.1
## <https://doi.org/10.1175/BAMS-D-13-00155.1>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[38]]
## To cite package 'commonmark' in publications use:
##
## Ooms J (2025). _commonmark: High Performance CommonMark and Github
## Markdown Rendering in R_. doi:10.32614/CRAN.package.commonmark
## <https://doi.org/10.32614/CRAN.package.commonmark>, R package version
## 1.9.5, <https://CRAN.R-project.org/package=commonmark>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {commonmark: High Performance CommonMark and Github Markdown Rendering in R},
## author = {Jeroen Ooms},
## year = {2025},
## note = {R package version 1.9.5},
## url = {https://CRAN.R-project.org/package=commonmark},
## doi = {10.32614/CRAN.package.commonmark},
## }
##
## [[39]]
## The 'compiler' package is part of R. To cite R in publications use:
##
## R Core Team (2025). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R: A Language and Environment for Statistical Computing},
## author = {{R Core Team}},
## organization = {R Foundation for Statistical Computing},
## address = {Vienna, Austria},
## year = {2025},
## url = {https://www.R-project.org/},
## }
##
## We have invested a lot of time and effort in creating R, please cite it
## when using it for data analysis. See also 'citation("pkgname")' for
## citing R packages.
##
## [[40]]
## To cite package 'conflicted' in publications use:
##
## Wickham H (2023). _conflicted: An Alternative Conflict Resolution
## Strategy_. doi:10.32614/CRAN.package.conflicted
## <https://doi.org/10.32614/CRAN.package.conflicted>, R package version
## 1.2.0, <https://CRAN.R-project.org/package=conflicted>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {conflicted: An Alternative Conflict Resolution Strategy},
## author = {Hadley Wickham},
## year = {2023},
## note = {R package version 1.2.0},
## url = {https://CRAN.R-project.org/package=conflicted},
## doi = {10.32614/CRAN.package.conflicted},
## }
##
## [[41]]
## To cite package 'corpcor' in publications use:
##
## Schafer J, Opgen-Rhein R, Zuber V, Ahdesmaki M, Silva APD, Strimmer.
## K (2021). _corpcor: Efficient Estimation of Covariance and (Partial)
## Correlation_. doi:10.32614/CRAN.package.corpcor
## <https://doi.org/10.32614/CRAN.package.corpcor>, R package version
## 1.6.10, <https://CRAN.R-project.org/package=corpcor>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {corpcor: Efficient Estimation of Covariance and (Partial) Correlation},
## author = {Juliane Schafer and Rainer Opgen-Rhein and Verena Zuber and Miika Ahdesmaki and A. Pedro Duarte Silva and Korbinian Strimmer.},
## year = {2021},
## note = {R package version 1.6.10},
## url = {https://CRAN.R-project.org/package=corpcor},
## doi = {10.32614/CRAN.package.corpcor},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[42]]
## To cite corrplot in publications use:
##
## Taiyun Wei and Viliam Simko (2024). R package 'corrplot':
## Visualization of a Correlation Matrix (Version 0.95). Available from
## https://github.com/taiyun/corrplot
##
## A BibTeX entry for LaTeX users is
##
## @Manual{corrplot2024,
## title = {R package 'corrplot': Visualization of a Correlation Matrix},
## author = {Taiyun Wei and Viliam Simko},
## year = {2024},
## note = {(Version 0.95)},
## url = {https://github.com/taiyun/corrplot},
## }
##
## [[43]]
## To cite package 'cowplot' in publications use:
##
## Wilke C (2024). _cowplot: Streamlined Plot Theme and Plot Annotations
## for 'ggplot2'_. doi:10.32614/CRAN.package.cowplot
## <https://doi.org/10.32614/CRAN.package.cowplot>, R package version
## 1.1.3, <https://CRAN.R-project.org/package=cowplot>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {cowplot: Streamlined Plot Theme and Plot Annotations for 'ggplot2'},
## author = {Claus O. Wilke},
## year = {2024},
## note = {R package version 1.1.3},
## url = {https://CRAN.R-project.org/package=cowplot},
## doi = {10.32614/CRAN.package.cowplot},
## }
##
## [[44]]
## To cite package 'cpp11' in publications use:
##
## Vaughan D, Hester J, François R (2025). _cpp11: A C++11 Interface for
## R's C Interface_. doi:10.32614/CRAN.package.cpp11
## <https://doi.org/10.32614/CRAN.package.cpp11>, R package version
## 0.5.2, <https://CRAN.R-project.org/package=cpp11>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {cpp11: A C++11 Interface for R's C Interface},
## author = {Davis Vaughan and Jim Hester and Romain François},
## year = {2025},
## note = {R package version 0.5.2},
## url = {https://CRAN.R-project.org/package=cpp11},
## doi = {10.32614/CRAN.package.cpp11},
## }
##
## [[45]]
## To cite package 'crayon' in publications use:
##
## Csárdi G (2024). _crayon: Colored Terminal Output_.
## doi:10.32614/CRAN.package.crayon
## <https://doi.org/10.32614/CRAN.package.crayon>, R package version
## 1.5.3, <https://CRAN.R-project.org/package=crayon>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {crayon: Colored Terminal Output},
## author = {Gábor Csárdi},
## year = {2024},
## note = {R package version 1.5.3},
## url = {https://CRAN.R-project.org/package=crayon},
## doi = {10.32614/CRAN.package.crayon},
## }
##
## [[46]]
## To cite package 'crosstalk' in publications use:
##
## Cheng J, Sievert C (2023). _crosstalk: Inter-Widget Interactivity for
## HTML Widgets_. doi:10.32614/CRAN.package.crosstalk
## <https://doi.org/10.32614/CRAN.package.crosstalk>, R package version
## 1.2.1, <https://CRAN.R-project.org/package=crosstalk>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {crosstalk: Inter-Widget Interactivity for HTML Widgets},
## author = {Joe Cheng and Carson Sievert},
## year = {2023},
## note = {R package version 1.2.1},
## url = {https://CRAN.R-project.org/package=crosstalk},
## doi = {10.32614/CRAN.package.crosstalk},
## }
##
## [[47]]
## To cite package 'Cubist' in publications use:
##
## Kuhn M, Quinlan R (2025). _Cubist: Rule- And Instance-Based
## Regression Modeling_. doi:10.32614/CRAN.package.Cubist
## <https://doi.org/10.32614/CRAN.package.Cubist>, R package version
## 0.5.0, <https://CRAN.R-project.org/package=Cubist>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {Cubist: Rule- And Instance-Based Regression Modeling},
## author = {Max Kuhn and Ross Quinlan},
## year = {2025},
## note = {R package version 0.5.0},
## url = {https://CRAN.R-project.org/package=Cubist},
## doi = {10.32614/CRAN.package.Cubist},
## }
##
## [[48]]
## To cite package 'curl' in publications use:
##
## Ooms J (2025). _curl: A Modern and Flexible Web Client for R_.
## doi:10.32614/CRAN.package.curl
## <https://doi.org/10.32614/CRAN.package.curl>, R package version
## 6.2.2, <https://CRAN.R-project.org/package=curl>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {curl: A Modern and Flexible Web Client for R},
## author = {Jeroen Ooms},
## year = {2025},
## note = {R package version 6.2.2},
## url = {https://CRAN.R-project.org/package=curl},
## doi = {10.32614/CRAN.package.curl},
## }
##
## [[49]]
## To cite package 'data.table' in publications use:
##
## Barrett T, Dowle M, Srinivasan A, Gorecki J, Chirico M, Hocking T,
## Schwendinger B, Krylov I (2025). _data.table: Extension of
## `data.frame`_. doi:10.32614/CRAN.package.data.table
## <https://doi.org/10.32614/CRAN.package.data.table>, R package version
## 1.17.0, <https://CRAN.R-project.org/package=data.table>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {data.table: Extension of `data.frame`},
## author = {Tyson Barrett and Matt Dowle and Arun Srinivasan and Jan Gorecki and Michael Chirico and Toby Hocking and Benjamin Schwendinger and Ivan Krylov},
## year = {2025},
## note = {R package version 1.17.0},
## url = {https://CRAN.R-project.org/package=data.table},
## doi = {10.32614/CRAN.package.data.table},
## }
##
## [[50]]
## To cite package 'data.tree' in publications use:
##
## Glur C (2023). _data.tree: General Purpose Hierarchical Data
## Structure_. doi:10.32614/CRAN.package.data.tree
## <https://doi.org/10.32614/CRAN.package.data.tree>, R package version
## 1.1.0, <https://CRAN.R-project.org/package=data.tree>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {data.tree: General Purpose Hierarchical Data Structure},
## author = {Christoph Glur},
## year = {2023},
## note = {R package version 1.1.0},
## url = {https://CRAN.R-project.org/package=data.tree},
## doi = {10.32614/CRAN.package.data.tree},
## }
##
## [[51]]
## The 'datasets' package is part of R. To cite R in publications use:
##
## R Core Team (2025). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R: A Language and Environment for Statistical Computing},
## author = {{R Core Team}},
## organization = {R Foundation for Statistical Computing},
## address = {Vienna, Austria},
## year = {2025},
## url = {https://www.R-project.org/},
## }
##
## We have invested a lot of time and effort in creating R, please cite it
## when using it for data analysis. See also 'citation("pkgname")' for
## citing R packages.
##
## [[52]]
## To cite package 'DBI' in publications use:
##
## R Special Interest Group on Databases (R-SIG-DB), Wickham H, Müller K
## (2024). _DBI: R Database Interface_. doi:10.32614/CRAN.package.DBI
## <https://doi.org/10.32614/CRAN.package.DBI>, R package version 1.2.3,
## <https://CRAN.R-project.org/package=DBI>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {DBI: R Database Interface},
## author = {{R Special Interest Group on Databases (R-SIG-DB)} and Hadley Wickham and Kirill Müller},
## year = {2024},
## note = {R package version 1.2.3},
## url = {https://CRAN.R-project.org/package=DBI},
## doi = {10.32614/CRAN.package.DBI},
## }
##
## [[53]]
## To cite package 'dbplyr' in publications use:
##
## Wickham H, Girlich M, Ruiz E (2024). _dbplyr: A 'dplyr' Back End for
## Databases_. doi:10.32614/CRAN.package.dbplyr
## <https://doi.org/10.32614/CRAN.package.dbplyr>, R package version
## 2.5.0, <https://CRAN.R-project.org/package=dbplyr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {dbplyr: A 'dplyr' Back End for Databases},
## author = {Hadley Wickham and Maximilian Girlich and Edgar Ruiz},
## year = {2024},
## note = {R package version 2.5.0},
## url = {https://CRAN.R-project.org/package=dbplyr},
## doi = {10.32614/CRAN.package.dbplyr},
## }
##
## [[54]]
## Hahsler M, Piekenbrock M (2025). _dbscan: Density-Based Spatial
## Clustering of Applications with Noise (DBSCAN) and Related Algorithms_.
## doi:10.32614/CRAN.package.dbscan
## <https://doi.org/10.32614/CRAN.package.dbscan>, R package version
## 1.2.2, <https://CRAN.R-project.org/package=dbscan>.
##
## To cite dbscan in publications use:
##
## Hahsler M, Piekenbrock M, Doran D (2019). "dbscan: Fast Density-Based
## Clustering with R." _Journal of Statistical Software_, *91*(1), 1-30.
## doi:10.18637/jss.v091.i01 <https://doi.org/10.18637/jss.v091.i01>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[55]]
## The methods within the package can be cited as:
##
## Tal Galili (2015). dendextend: an R package for visualizing,
## adjusting, and comparing trees of hierarchical clustering.
## Bioinformatics. DOI: 10.1093/bioinformatics/btv428
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## author = {Tal Galili},
## title = {dendextend: an R package for visualizing, adjusting, and comparing trees of hierarchical clustering},
## journal = {Bioinformatics},
## year = {2015},
## doi = {10.1093/bioinformatics/btv428},
## url = {https://doi.org/10.1093/bioinformatics/btv428},
## eprint = {https://academic.oup.com/bioinformatics/article-pdf/31/22/3718/17122682/btv428.pdf},
## }
##
## This free open-source software implements academic research by the
## authors and co-workers. If you use it, please support the project by
## citing the appropriate journal articles.
##
## [[56]]
## To cite package 'DEoptimR' in publications use:
##
## Conceicao EL (2024). _DEoptimR: Differential Evolution Optimization
## in Pure R_. doi:10.32614/CRAN.package.DEoptimR
## <https://doi.org/10.32614/CRAN.package.DEoptimR>, R package version
## 1.1-3-1, <https://CRAN.R-project.org/package=DEoptimR>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {DEoptimR: Differential Evolution Optimization in Pure R},
## author = {Eduardo L. T. Conceicao},
## year = {2024},
## note = {R package version 1.1-3-1},
## url = {https://CRAN.R-project.org/package=DEoptimR},
## doi = {10.32614/CRAN.package.DEoptimR},
## }
##
## [[57]]
## To cite package 'Deriv' in publications use:
##
## Clausen A, Sokol S (2024). _Deriv: R-based Symbolic Differentiation_.
## Deriv package version 4.1,
## <https://CRAN.R-project.org/package=Deriv>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {{Deriv}: R-based Symbolic Differentiation},
## author = {Andrew Clausen and Serguei Sokol},
## year = {2024},
## note = {Deriv package version 4.1},
## url = {https://CRAN.R-project.org/package=Deriv},
## }
##
## [[58]]
## To cite package 'DescTools' in publications use:
##
## Signorell A (2025). _DescTools: Tools for Descriptive Statistics_.
## doi:10.32614/CRAN.package.DescTools
## <https://doi.org/10.32614/CRAN.package.DescTools>, R package version
## 0.99.60, <https://CRAN.R-project.org/package=DescTools>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {DescTools: Tools for Descriptive Statistics},
## author = {Andri Signorell},
## year = {2025},
## note = {R package version 0.99.60},
## url = {https://CRAN.R-project.org/package=DescTools},
## doi = {10.32614/CRAN.package.DescTools},
## }
##
## [[59]]
## To cite package 'diagram' in publications use:
##
## Soetaert K (2020). _diagram: Functions for Visualising Simple Graphs
## (Networks), Plotting Flow Diagrams_.
## doi:10.32614/CRAN.package.diagram
## <https://doi.org/10.32614/CRAN.package.diagram>, R package version
## 1.6.5, <https://CRAN.R-project.org/package=diagram>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {diagram: Functions for Visualising Simple Graphs (Networks), Plotting
## Flow Diagrams},
## author = {Karline Soetaert},
## year = {2020},
## note = {R package version 1.6.5},
## url = {https://CRAN.R-project.org/package=diagram},
## doi = {10.32614/CRAN.package.diagram},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[60]]
## To cite package 'DiagrammeR' in publications use:
##
## Iannone R, Roy O (2024). _DiagrammeR: Graph/Network Visualization_.
## doi:10.32614/CRAN.package.DiagrammeR
## <https://doi.org/10.32614/CRAN.package.DiagrammeR>, R package version
## 1.0.11, <https://CRAN.R-project.org/package=DiagrammeR>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {DiagrammeR: Graph/Network Visualization},
## author = {Richard Iannone and Olivier Roy},
## year = {2024},
## note = {R package version 1.0.11},
## url = {https://CRAN.R-project.org/package=DiagrammeR},
## doi = {10.32614/CRAN.package.DiagrammeR},
## }
##
## [[61]]
## To cite package 'digest' in publications use:
##
## Eddelbuettel D (2024). _digest: Create Compact Hash Digests of R
## Objects_. doi:10.32614/CRAN.package.digest
## <https://doi.org/10.32614/CRAN.package.digest>, R package version
## 0.6.37, <https://CRAN.R-project.org/package=digest>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {digest: Create Compact Hash Digests of R Objects},
## author = {Dirk Eddelbuettel},
## year = {2024},
## note = {R package version 0.6.37},
## url = {https://CRAN.R-project.org/package=digest},
## doi = {10.32614/CRAN.package.digest},
## }
##
## [[62]]
## To cite package 'distributional' in publications use:
##
## O'Hara-Wild M, Kay M, Hayes A, Hyndman R (2024). _distributional:
## Vectorised Probability Distributions_.
## doi:10.32614/CRAN.package.distributional
## <https://doi.org/10.32614/CRAN.package.distributional>, R package
## version 0.5.0, <https://CRAN.R-project.org/package=distributional>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {distributional: Vectorised Probability Distributions},
## author = {Mitchell O'Hara-Wild and Matthew Kay and Alex Hayes and Rob Hyndman},
## year = {2024},
## note = {R package version 0.5.0},
## url = {https://CRAN.R-project.org/package=distributional},
## doi = {10.32614/CRAN.package.distributional},
## }
##
## [[63]]
## To cite package 'doBy' in publications use:
##
## Halekoh U, Højsgaard S (2025). _doBy: Groupwise Statistics, LSmeans,
## Linear Estimates, Utilities_. doi:10.32614/CRAN.package.doBy
## <https://doi.org/10.32614/CRAN.package.doBy>, R package version
## 4.6.27, <https://CRAN.R-project.org/package=doBy>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {doBy: Groupwise Statistics, LSmeans, Linear Estimates, Utilities},
## author = {Ulrich Halekoh and Søren Højsgaard},
## year = {2025},
## note = {R package version 4.6.27},
## url = {https://CRAN.R-project.org/package=doBy},
## doi = {10.32614/CRAN.package.doBy},
## }
##
## [[64]]
## To cite package 'doParallel' in publications use:
##
## Corporation M, Weston S (2022). _doParallel: Foreach Parallel Adaptor
## for the 'parallel' Package_. doi:10.32614/CRAN.package.doParallel
## <https://doi.org/10.32614/CRAN.package.doParallel>, R package version
## 1.0.17, <https://CRAN.R-project.org/package=doParallel>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {doParallel: Foreach Parallel Adaptor for the 'parallel' Package},
## author = {Microsoft Corporation and Steve Weston},
## year = {2022},
## note = {R package version 1.0.17},
## url = {https://CRAN.R-project.org/package=doParallel},
## doi = {10.32614/CRAN.package.doParallel},
## }
##
## [[65]]
## To cite package 'dplyr' in publications use:
##
## Wickham H, François R, Henry L, Müller K, Vaughan D (2023). _dplyr: A
## Grammar of Data Manipulation_. doi:10.32614/CRAN.package.dplyr
## <https://doi.org/10.32614/CRAN.package.dplyr>, R package version
## 1.1.4, <https://CRAN.R-project.org/package=dplyr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {dplyr: A Grammar of Data Manipulation},
## author = {Hadley Wickham and Romain François and Lionel Henry and Kirill Müller and Davis Vaughan},
## year = {2023},
## note = {R package version 1.1.4},
## url = {https://CRAN.R-project.org/package=dplyr},
## doi = {10.32614/CRAN.package.dplyr},
## }
##
## [[66]]
## To cite package 'DT' in publications use:
##
## Xie Y, Cheng J, Tan X (2024). _DT: A Wrapper of the JavaScript
## Library 'DataTables'_. doi:10.32614/CRAN.package.DT
## <https://doi.org/10.32614/CRAN.package.DT>, R package version 0.33,
## <https://CRAN.R-project.org/package=DT>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {DT: A Wrapper of the JavaScript Library 'DataTables'},
## author = {Yihui Xie and Joe Cheng and Xianying Tan},
## year = {2024},
## note = {R package version 0.33},
## url = {https://CRAN.R-project.org/package=DT},
## doi = {10.32614/CRAN.package.DT},
## }
##
## [[67]]
## To cite package 'dtplyr' in publications use:
##
## Wickham H, Girlich M, Fairbanks M, Dickerson R (2023). _dtplyr: Data
## Table Back-End for 'dplyr'_. doi:10.32614/CRAN.package.dtplyr
## <https://doi.org/10.32614/CRAN.package.dtplyr>, R package version
## 1.3.1, <https://CRAN.R-project.org/package=dtplyr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {dtplyr: Data Table Back-End for 'dplyr'},
## author = {Hadley Wickham and Maximilian Girlich and Mark Fairbanks and Ryan Dickerson},
## year = {2023},
## note = {R package version 1.3.1},
## url = {https://CRAN.R-project.org/package=dtplyr},
## doi = {10.32614/CRAN.package.dtplyr},
## }
##
## [[68]]
## To cite package 'e1071' in publications use:
##
## Meyer D, Dimitriadou E, Hornik K, Weingessel A, Leisch F (2024).
## _e1071: Misc Functions of the Department of Statistics, Probability
## Theory Group (Formerly: E1071), TU Wien_.
## doi:10.32614/CRAN.package.e1071
## <https://doi.org/10.32614/CRAN.package.e1071>, R package version
## 1.7-16, <https://CRAN.R-project.org/package=e1071>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {e1071: Misc Functions of the Department of Statistics, Probability
## Theory Group (Formerly: E1071), TU Wien},
## author = {David Meyer and Evgenia Dimitriadou and Kurt Hornik and Andreas Weingessel and Friedrich Leisch},
## year = {2024},
## note = {R package version 1.7-16},
## url = {https://CRAN.R-project.org/package=e1071},
## doi = {10.32614/CRAN.package.e1071},
## }
##
## [[69]]
## To cite package 'eia' in publications use:
##
## Leonawicz M, Hoff M (2024). _eia: API Wrapper for U.S. Energy
## Information Administration ('EIA') Open Data_.
## doi:10.32614/CRAN.package.eia
## <https://doi.org/10.32614/CRAN.package.eia>, R package version 0.4.2,
## <https://CRAN.R-project.org/package=eia>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {eia: API Wrapper for U.S. Energy Information Administration ('EIA')
## Open Data},
## author = {Matthew Leonawicz and Matthew Hoff},
## year = {2024},
## note = {R package version 0.4.2},
## url = {https://CRAN.R-project.org/package=eia},
## doi = {10.32614/CRAN.package.eia},
## }
##
## [[70]]
## To cite package 'ellipse' in publications use:
##
## Murdoch D, Chow ED (2023). _ellipse: Functions for Drawing Ellipses
## and Ellipse-Like Confidence Regions_.
## doi:10.32614/CRAN.package.ellipse
## <https://doi.org/10.32614/CRAN.package.ellipse>, R package version
## 0.5.0, <https://CRAN.R-project.org/package=ellipse>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ellipse: Functions for Drawing Ellipses and Ellipse-Like Confidence
## Regions},
## author = {Duncan Murdoch and E. D. Chow},
## year = {2023},
## note = {R package version 0.5.0},
## url = {https://CRAN.R-project.org/package=ellipse},
## doi = {10.32614/CRAN.package.ellipse},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[71]]
## To cite package 'ellipsis' in publications use:
##
## Wickham H (2021). _ellipsis: Tools for Working with ..._.
## doi:10.32614/CRAN.package.ellipsis
## <https://doi.org/10.32614/CRAN.package.ellipsis>, R package version
## 0.3.2, <https://CRAN.R-project.org/package=ellipsis>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ellipsis: Tools for Working with ...},
## author = {Hadley Wickham},
## year = {2021},
## note = {R package version 0.3.2},
## url = {https://CRAN.R-project.org/package=ellipsis},
## doi = {10.32614/CRAN.package.ellipsis},
## }
##
## [[72]]
## To cite package 'emmeans' in publications use:
##
## Lenth R (2025). _emmeans: Estimated Marginal Means, aka Least-Squares
## Means_. doi:10.32614/CRAN.package.emmeans
## <https://doi.org/10.32614/CRAN.package.emmeans>, R package version
## 1.11.1, <https://CRAN.R-project.org/package=emmeans>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {emmeans: Estimated Marginal Means, aka Least-Squares Means},
## author = {Russell V. Lenth},
## year = {2025},
## note = {R package version 1.11.1},
## url = {https://CRAN.R-project.org/package=emmeans},
## doi = {10.32614/CRAN.package.emmeans},
## }
##
## [[73]]
## To cite package 'EnvStats' in publications use:
##
## Millard SP (2013). _EnvStats: An R Package for Environmental
## Statistics_. Springer, New York. ISBN 978-1-4614-8455-4,
## <https://www.springer.com>.
##
## A BibTeX entry for LaTeX users is
##
## @Book{EnvStats-book,
## title = {EnvStats: An R Package for Environmental Statistics},
## author = {Steven P. Millard},
## year = {2013},
## publisher = {Springer},
## address = {New York},
## isbn = {978-1-4614-8455-4},
## url = {https://www.springer.com},
## }
##
## [[74]]
## To cite package 'estimability' in publications use:
##
## Lenth R (2024). _estimability: Tools for Assessing Estimability of
## Linear Predictions_. doi:10.32614/CRAN.package.estimability
## <https://doi.org/10.32614/CRAN.package.estimability>, R package
## version 1.5.1, <https://CRAN.R-project.org/package=estimability>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {estimability: Tools for Assessing Estimability of Linear Predictions},
## author = {Russell Lenth},
## year = {2024},
## note = {R package version 1.5.1},
## url = {https://CRAN.R-project.org/package=estimability},
## doi = {10.32614/CRAN.package.estimability},
## }
##
## [[75]]
## To cite package 'evaluate' in publications use:
##
## Wickham H, Xie Y (2025). _evaluate: Parsing and Evaluation Tools that
## Provide More Details than the Default_.
## doi:10.32614/CRAN.package.evaluate
## <https://doi.org/10.32614/CRAN.package.evaluate>, R package version
## 1.0.3, <https://CRAN.R-project.org/package=evaluate>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {evaluate: Parsing and Evaluation Tools that Provide More Details than the
## Default},
## author = {Hadley Wickham and Yihui Xie},
## year = {2025},
## note = {R package version 1.0.3},
## url = {https://CRAN.R-project.org/package=evaluate},
## doi = {10.32614/CRAN.package.evaluate},
## }
##
## [[76]]
## To cite package 'Exact' in publications use:
##
## Calhoun P (2024). _Exact: Unconditional Exact Test_.
## doi:10.32614/CRAN.package.Exact
## <https://doi.org/10.32614/CRAN.package.Exact>, R package version 3.3,
## <https://CRAN.R-project.org/package=Exact>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {Exact: Unconditional Exact Test},
## author = {Peter Calhoun},
## year = {2024},
## note = {R package version 3.3},
## url = {https://CRAN.R-project.org/package=Exact},
## doi = {10.32614/CRAN.package.Exact},
## }
##
## [[77]]
## To cite package 'expm' in publications use:
##
## Maechler M, Dutang C, Goulet V (2024). _expm: Matrix Exponential,
## Log, 'etc'_. doi:10.32614/CRAN.package.expm
## <https://doi.org/10.32614/CRAN.package.expm>, R package version
## 1.0-0, <https://CRAN.R-project.org/package=expm>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {expm: Matrix Exponential, Log, 'etc'},
## author = {Martin Maechler and Christophe Dutang and Vincent Goulet},
## year = {2024},
## note = {R package version 1.0-0},
## url = {https://CRAN.R-project.org/package=expm},
## doi = {10.32614/CRAN.package.expm},
## }
##
## [[78]]
## To cite package 'fable' in publications use:
##
## O'Hara-Wild M, Hyndman R, Wang E (2024). _fable: Forecasting Models
## for Tidy Time Series_. doi:10.32614/CRAN.package.fable
## <https://doi.org/10.32614/CRAN.package.fable>, R package version
## 0.4.1, <https://CRAN.R-project.org/package=fable>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {fable: Forecasting Models for Tidy Time Series},
## author = {Mitchell O'Hara-Wild and Rob Hyndman and Earo Wang},
## year = {2024},
## note = {R package version 0.4.1},
## url = {https://CRAN.R-project.org/package=fable},
## doi = {10.32614/CRAN.package.fable},
## }
##
## [[79]]
## To cite package 'fabletools' in publications use:
##
## O'Hara-Wild M, Hyndman R, Wang E (2024). _fabletools: Core Tools for
## Packages in the 'fable' Framework_.
## doi:10.32614/CRAN.package.fabletools
## <https://doi.org/10.32614/CRAN.package.fabletools>, R package version
## 0.5.0, <https://CRAN.R-project.org/package=fabletools>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {fabletools: Core Tools for Packages in the 'fable' Framework},
## author = {Mitchell O'Hara-Wild and Rob Hyndman and Earo Wang},
## year = {2024},
## note = {R package version 0.5.0},
## url = {https://CRAN.R-project.org/package=fabletools},
## doi = {10.32614/CRAN.package.fabletools},
## }
##
## [[80]]
## To cite package 'factoextra' in publications use:
##
## Kassambara A, Mundt F (2020). _factoextra: Extract and Visualize the
## Results of Multivariate Data Analyses_.
## doi:10.32614/CRAN.package.factoextra
## <https://doi.org/10.32614/CRAN.package.factoextra>, R package version
## 1.0.7, <https://CRAN.R-project.org/package=factoextra>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {factoextra: Extract and Visualize the Results of Multivariate Data Analyses},
## author = {Alboukadel Kassambara and Fabian Mundt},
## year = {2020},
## note = {R package version 1.0.7},
## url = {https://CRAN.R-project.org/package=factoextra},
## doi = {10.32614/CRAN.package.factoextra},
## }
##
## [[81]]
## To cite FactoMineR in publications use:
##
## Sebastien Le, Julie Josse, Francois Husson (2008). FactoMineR: An R
## Package for Multivariate Analysis. Journal of Statistical Software,
## 25(1), 1-18. 10.18637/jss.v025.i01
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {{FactoMineR}: A Package for Multivariate Analysis},
## author = {S\'ebastien L\^e and Julie Josse and Fran\c{c}ois Husson},
## journal = {Journal of Statistical Software},
## year = {2008},
## volume = {25},
## number = {1},
## pages = {1--18},
## doi = {10.18637/jss.v025.i01},
## }
##
## [[82]]
## To cite package 'fansi' in publications use:
##
## Gaslam B (2023). _fansi: ANSI Control Sequence Aware String
## Functions_. doi:10.32614/CRAN.package.fansi
## <https://doi.org/10.32614/CRAN.package.fansi>, R package version
## 1.0.6, <https://CRAN.R-project.org/package=fansi>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {fansi: ANSI Control Sequence Aware String Functions},
## author = {Brodie Gaslam},
## year = {2023},
## note = {R package version 1.0.6},
## url = {https://CRAN.R-project.org/package=fansi},
## doi = {10.32614/CRAN.package.fansi},
## }
##
## [[83]]
## To cite package 'farver' in publications use:
##
## Pedersen T, Nicolae B, François R (2024). _farver: High Performance
## Colour Space Manipulation_. doi:10.32614/CRAN.package.farver
## <https://doi.org/10.32614/CRAN.package.farver>, R package version
## 2.1.2, <https://CRAN.R-project.org/package=farver>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {farver: High Performance Colour Space Manipulation},
## author = {Thomas Lin Pedersen and Berendea Nicolae and Romain François},
## year = {2024},
## note = {R package version 2.1.2},
## url = {https://CRAN.R-project.org/package=farver},
## doi = {10.32614/CRAN.package.farver},
## }
##
## [[84]]
## To cite package 'fastDummies' in publications use:
##
## Kaplan J (2025). _fastDummies: Fast Creation of Dummy (Binary)
## Columns and Rows from Categorical Variables_.
## doi:10.32614/CRAN.package.fastDummies
## <https://doi.org/10.32614/CRAN.package.fastDummies>, R package
## version 1.7.5, <https://CRAN.R-project.org/package=fastDummies>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {fastDummies: Fast Creation of Dummy (Binary) Columns and Rows from
## Categorical Variables},
## author = {Jacob Kaplan},
## year = {2025},
## note = {R package version 1.7.5},
## url = {https://CRAN.R-project.org/package=fastDummies},
## doi = {10.32614/CRAN.package.fastDummies},
## }
##
## [[85]]
## To cite package 'fastmap' in publications use:
##
## Chang W (2024). _fastmap: Fast Data Structures_.
## doi:10.32614/CRAN.package.fastmap
## <https://doi.org/10.32614/CRAN.package.fastmap>, R package version
## 1.2.0, <https://CRAN.R-project.org/package=fastmap>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {fastmap: Fast Data Structures},
## author = {Winston Chang},
## year = {2024},
## note = {R package version 1.2.0},
## url = {https://CRAN.R-project.org/package=fastmap},
## doi = {10.32614/CRAN.package.fastmap},
## }
##
## [[86]]
## To cite package 'fdrtool' in publications use:
##
## Klaus B, Strimmer K (2024). _fdrtool: Estimation of (Local) False
## Discovery Rates and Higher Criticism_.
## doi:10.32614/CRAN.package.fdrtool
## <https://doi.org/10.32614/CRAN.package.fdrtool>, R package version
## 1.2.18, <https://CRAN.R-project.org/package=fdrtool>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {fdrtool: Estimation of (Local) False Discovery Rates and Higher Criticism},
## author = {Bernd Klaus and Korbinian Strimmer},
## year = {2024},
## note = {R package version 1.2.18},
## url = {https://CRAN.R-project.org/package=fdrtool},
## doi = {10.32614/CRAN.package.fdrtool},
## }
##
## [[87]]
## To cite package 'feasts' in publications use:
##
## O'Hara-Wild M, Hyndman R, Wang E (2024). _feasts: Feature Extraction
## and Statistics for Time Series_. doi:10.32614/CRAN.package.feasts
## <https://doi.org/10.32614/CRAN.package.feasts>, R package version
## 0.4.1, <https://CRAN.R-project.org/package=feasts>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {feasts: Feature Extraction and Statistics for Time Series},
## author = {Mitchell O'Hara-Wild and Rob Hyndman and Earo Wang},
## year = {2024},
## note = {R package version 0.4.1},
## url = {https://CRAN.R-project.org/package=feasts},
## doi = {10.32614/CRAN.package.feasts},
## }
##
## [[88]]
## To cite fitdistrplus in publications use:
##
## Marie Laure Delignette-Muller, Christophe Dutang (2015).
## fitdistrplus: An R Package for Fitting Distributions. Journal of
## Statistical Software, 64(4), 1-34. DOI 10.18637/jss.v064.i04.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {{fitdistrplus}: An {R} Package for Fitting Distributions},
## author = {Marie Laure Delignette-Muller and Christophe Dutang},
## journal = {Journal of Statistical Software},
## year = {2015},
## volume = {64},
## number = {4},
## pages = {1--34},
## doi = {10.18637/jss.v064.i04},
## }
##
## Please cite both the package and R when using them for data analysis.
## See also 'citation()' for citing R.
##
## [[89]]
## To cite flashClust in publications use:
##
## Peter Langfelder, Steve Horvath (2012). Fast R Functions for Robust
## Correlations and Hierarchical Clustering. Journal of Statistical
## Software, 46(11), 1-17. URL http://www.jstatsoft.org/v46/i11/.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Fast {R} Functions for Robust Correlations and Hierarchical Clustering},
## author = {Peter Langfelder and Steve Horvath},
## journal = {Journal of Statistical Software},
## year = {2012},
## volume = {46},
## number = {11},
## pages = {1--17},
## url = {http://www.jstatsoft.org/v46/i11/},
## }
##
## [[90]]
## To cite package 'FNN' in publications use:
##
## Beygelzimer A, Kakadet S, Langford J, Arya S, Mount D, Li S (2024).
## _FNN: Fast Nearest Neighbor Search Algorithms and Applications_.
## doi:10.32614/CRAN.package.FNN
## <https://doi.org/10.32614/CRAN.package.FNN>, R package version
## 1.1.4.1, <https://CRAN.R-project.org/package=FNN>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {FNN: Fast Nearest Neighbor Search Algorithms and Applications},
## author = {Alina Beygelzimer and Sham Kakadet and John Langford and Sunil Arya and David Mount and Shengqiao Li},
## year = {2024},
## note = {R package version 1.1.4.1},
## url = {https://CRAN.R-project.org/package=FNN},
## doi = {10.32614/CRAN.package.FNN},
## }
##
## [[91]]
## To cite package 'fontawesome' in publications use:
##
## Iannone R (2024). _fontawesome: Easily Work with 'Font Awesome'
## Icons_. doi:10.32614/CRAN.package.fontawesome
## <https://doi.org/10.32614/CRAN.package.fontawesome>, R package
## version 0.5.3, <https://CRAN.R-project.org/package=fontawesome>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {fontawesome: Easily Work with 'Font Awesome' Icons},
## author = {Richard Iannone},
## year = {2024},
## note = {R package version 0.5.3},
## url = {https://CRAN.R-project.org/package=fontawesome},
## doi = {10.32614/CRAN.package.fontawesome},
## }
##
## [[92]]
## To cite package 'forcats' in publications use:
##
## Wickham H (2023). _forcats: Tools for Working with Categorical
## Variables (Factors)_. doi:10.32614/CRAN.package.forcats
## <https://doi.org/10.32614/CRAN.package.forcats>, R package version
## 1.0.0, <https://CRAN.R-project.org/package=forcats>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {forcats: Tools for Working with Categorical Variables (Factors)},
## author = {Hadley Wickham},
## year = {2023},
## note = {R package version 1.0.0},
## url = {https://CRAN.R-project.org/package=forcats},
## doi = {10.32614/CRAN.package.forcats},
## }
##
## [[93]]
## To cite package 'foreach' in publications use:
##
## Microsoft, Weston S (2022). _foreach: Provides Foreach Looping
## Construct_. doi:10.32614/CRAN.package.foreach
## <https://doi.org/10.32614/CRAN.package.foreach>, R package version
## 1.5.2, <https://CRAN.R-project.org/package=foreach>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {foreach: Provides Foreach Looping Construct},
## author = {{Microsoft} and Steve Weston},
## year = {2022},
## note = {R package version 1.5.2},
## url = {https://CRAN.R-project.org/package=foreach},
## doi = {10.32614/CRAN.package.foreach},
## }
##
## [[94]]
## To cite the forecast package in publications, please use:
##
## Hyndman R, Athanasopoulos G, Bergmeir C, Caceres G, Chhay L,
## O'Hara-Wild M, Petropoulos F, Razbash S, Wang E, Yasmeen F (2025).
## _forecast: Forecasting functions for time series and linear models_.
## R package version 8.24.0, <https://pkg.robjhyndman.com/forecast/>.
##
## Hyndman RJ, Khandakar Y (2008). "Automatic time series forecasting:
## the forecast package for R." _Journal of Statistical Software_,
## *27*(3), 1-22. doi:10.18637/jss.v027.i03
## <https://doi.org/10.18637/jss.v027.i03>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[95]]
## To cite package 'foreign' in publications use:
##
## R Core Team (2025). _foreign: Read Data Stored by 'Minitab', 'S',
## 'SAS', 'SPSS', 'Stata', 'Systat', 'Weka', 'dBase', ..._.
## doi:10.32614/CRAN.package.foreign
## <https://doi.org/10.32614/CRAN.package.foreign>, R package version
## 0.8-90, <https://CRAN.R-project.org/package=foreign>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {foreign: Read Data Stored by 'Minitab', 'S', 'SAS', 'SPSS', 'Stata',
## 'Systat', 'Weka', 'dBase', ...},
## author = {{R Core Team}},
## year = {2025},
## note = {R package version 0.8-90},
## url = {https://CRAN.R-project.org/package=foreign},
## doi = {10.32614/CRAN.package.foreign},
## }
##
## [[96]]
## To cite package 'formattable' in publications use:
##
## Ren K, Russell K (2021). _formattable: Create 'Formattable' Data
## Structures_. doi:10.32614/CRAN.package.formattable
## <https://doi.org/10.32614/CRAN.package.formattable>, R package
## version 0.2.1, <https://CRAN.R-project.org/package=formattable>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {formattable: Create 'Formattable' Data Structures},
## author = {Kun Ren and Kenton Russell},
## year = {2021},
## note = {R package version 0.2.1},
## url = {https://CRAN.R-project.org/package=formattable},
## doi = {10.32614/CRAN.package.formattable},
## }
##
## [[97]]
## To cite Formula in publications use:
##
## Zeileis A, Croissant Y (2010). "Extended Model Formulas in R:
## Multiple Parts and Multiple Responses." _Journal of Statistical
## Software_, *34*(1), 1-13. doi:10.18637/jss.v034.i01
## <https://doi.org/10.18637/jss.v034.i01>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Extended Model Formulas in {R}: Multiple Parts and Multiple Responses},
## author = {Achim Zeileis and Yves Croissant},
## journal = {Journal of Statistical Software},
## year = {2010},
## volume = {34},
## number = {1},
## pages = {1--13},
## doi = {10.18637/jss.v034.i01},
## }
##
## [[98]]
## To cite package 'formula.tools' in publications use:
##
## Brown C (2018). _formula.tools: Programmatic Utilities for
## Manipulating Formulas, Expressions, Calls, Assignments and Other R
## Objects_. doi:10.32614/CRAN.package.formula.tools
## <https://doi.org/10.32614/CRAN.package.formula.tools>, R package
## version 1.7.1, <https://CRAN.R-project.org/package=formula.tools>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {formula.tools: Programmatic Utilities for Manipulating Formulas, Expressions,
## Calls, Assignments and Other R Objects},
## author = {Christopher Brown},
## year = {2018},
## note = {R package version 1.7.1},
## url = {https://CRAN.R-project.org/package=formula.tools},
## doi = {10.32614/CRAN.package.formula.tools},
## }
##
## [[99]]
## To cite package 'fpp3' in publications use:
##
## Hyndman R (2024). _fpp3: Data for "Forecasting: Principles and
## Practice" (3rd Edition)_. doi:10.32614/CRAN.package.fpp3
## <https://doi.org/10.32614/CRAN.package.fpp3>, R package version
## 1.0.1, <https://CRAN.R-project.org/package=fpp3>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {fpp3: Data for "Forecasting: Principles and Practice" (3rd Edition)},
## author = {Rob Hyndman},
## year = {2024},
## note = {R package version 1.0.1},
## url = {https://CRAN.R-project.org/package=fpp3},
## doi = {10.32614/CRAN.package.fpp3},
## }
##
## [[100]]
## To cite package 'fracdiff' in publications use:
##
## Maechler M (2024). _fracdiff: Fractionally Differenced ARIMA aka
## ARFIMA(P,d,q) Models_. doi:10.32614/CRAN.package.fracdiff
## <https://doi.org/10.32614/CRAN.package.fracdiff>, R package version
## 1.5-3, <https://CRAN.R-project.org/package=fracdiff>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {fracdiff: Fractionally Differenced ARIMA aka ARFIMA(P,d,q) Models},
## author = {Martin Maechler},
## year = {2024},
## note = {R package version 1.5-3},
## url = {https://CRAN.R-project.org/package=fracdiff},
## doi = {10.32614/CRAN.package.fracdiff},
## }
##
## [[101]]
## To cite package 'fredr' in publications use:
##
## Boysel S, Vaughan D (2021). _fredr: An R Client for the 'FRED' API_.
## doi:10.32614/CRAN.package.fredr
## <https://doi.org/10.32614/CRAN.package.fredr>, R package version
## 2.1.0, <https://CRAN.R-project.org/package=fredr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {fredr: An R Client for the 'FRED' API},
## author = {Sam Boysel and Davis Vaughan},
## year = {2021},
## note = {R package version 2.1.0},
## url = {https://CRAN.R-project.org/package=fredr},
## doi = {10.32614/CRAN.package.fredr},
## }
##
## [[102]]
## To cite package 'fs' in publications use:
##
## Hester J, Wickham H, Csárdi G (2025). _fs: Cross-Platform File System
## Operations Based on 'libuv'_. doi:10.32614/CRAN.package.fs
## <https://doi.org/10.32614/CRAN.package.fs>, R package version 1.6.6,
## <https://CRAN.R-project.org/package=fs>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {fs: Cross-Platform File System Operations Based on 'libuv'},
## author = {Jim Hester and Hadley Wickham and Gábor Csárdi},
## year = {2025},
## note = {R package version 1.6.6},
## url = {https://CRAN.R-project.org/package=fs},
## doi = {10.32614/CRAN.package.fs},
## }
##
## [[103]]
## Please cite 'future' and the future framework using the following
## references:
##
## Henrik Bengtsson, A Unifying Framework for Parallel and Distributed
## Processing in R using Futures, The R Journal (2021) 13:2, pages
## 208-227, doi:10.32614/RJ-2021-048
##
## A BibTeX entry for LaTeX users is
##
## @Article{RJ-2021-048,
## author = {Henrik Bengtsson},
## title = {A Unifying Framework for Parallel and Distributed Processing in R using Futures},
## year = {2021},
## journal = {The R Journal},
## doi = {10.32614/RJ-2021-048},
## url = {https://doi.org/10.32614/RJ-2021-048},
## pages = {208--227},
## volume = {13},
## number = {2},
## }
##
## [[104]]
## Please cite 'future' and the future framework using the following
## references:
##
## Henrik Bengtsson, A Unifying Framework for Parallel and Distributed
## Processing in R using Futures, The R Journal (2021) 13:2, pages
## 208-227, doi:10.32614/RJ-2021-048
##
## A BibTeX entry for LaTeX users is
##
## @Article{RJ-2021-048,
## author = {Henrik Bengtsson},
## title = {A Unifying Framework for Parallel and Distributed Processing in R using Futures},
## year = {2021},
## journal = {The R Journal},
## doi = {10.32614/RJ-2021-048},
## url = {https://doi.org/10.32614/RJ-2021-048},
## pages = {208--227},
## volume = {13},
## number = {2},
## }
##
## [[105]]
## To cite package 'gargle' in publications use:
##
## Bryan J, Citro C, Wickham H (2023). _gargle: Utilities for Working
## with Google APIs_. doi:10.32614/CRAN.package.gargle
## <https://doi.org/10.32614/CRAN.package.gargle>, R package version
## 1.5.2, <https://CRAN.R-project.org/package=gargle>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {gargle: Utilities for Working with Google APIs},
## author = {Jennifer Bryan and Craig Citro and Hadley Wickham},
## year = {2023},
## note = {R package version 1.5.2},
## url = {https://CRAN.R-project.org/package=gargle},
## doi = {10.32614/CRAN.package.gargle},
## }
##
## [[106]]
## To cite package 'generics' in publications use:
##
## Wickham H, Kuhn M, Vaughan D (2025). _generics: Common S3 Generics
## not Provided by Base R Methods Related to Model Fitting_.
## doi:10.32614/CRAN.package.generics
## <https://doi.org/10.32614/CRAN.package.generics>, R package version
## 0.1.4, <https://CRAN.R-project.org/package=generics>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {generics: Common S3 Generics not Provided by Base R Methods Related to
## Model Fitting},
## author = {Hadley Wickham and Max Kuhn and Davis Vaughan},
## year = {2025},
## note = {R package version 0.1.4},
## url = {https://CRAN.R-project.org/package=generics},
## doi = {10.32614/CRAN.package.generics},
## }
##
## [[107]]
## To cite package 'ggcorrplot' in publications use:
##
## Kassambara A (2023). _ggcorrplot: Visualization of a Correlation
## Matrix using 'ggplot2'_. doi:10.32614/CRAN.package.ggcorrplot
## <https://doi.org/10.32614/CRAN.package.ggcorrplot>, R package version
## 0.1.4.1, <https://CRAN.R-project.org/package=ggcorrplot>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ggcorrplot: Visualization of a Correlation Matrix using 'ggplot2'},
## author = {Alboukadel Kassambara},
## year = {2023},
## note = {R package version 0.1.4.1},
## url = {https://CRAN.R-project.org/package=ggcorrplot},
## doi = {10.32614/CRAN.package.ggcorrplot},
## }
##
## [[108]]
## To cite package 'ggdist' in publications use:
##
## Kay M (2024). "ggdist: Visualizations of Distributions and
## Uncertainty in the Grammar of Graphics." _IEEE Transactions on
## Visualization and Computer Graphics_, *30*(1), 414-424.
## doi:10.1109/TVCG.2023.3327195
## <https://doi.org/10.1109/TVCG.2023.3327195>.
##
## Kay M (2024). _ggdist: Visualizations of Distributions and
## Uncertainty_. doi:10.5281/zenodo.3879620
## <https://doi.org/10.5281/zenodo.3879620>, R package version 3.3.2,
## <https://mjskay.github.io/ggdist/>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[109]]
## To cite package 'ggforce' in publications use:
##
## Pedersen T (2024). _ggforce: Accelerating 'ggplot2'_.
## doi:10.32614/CRAN.package.ggforce
## <https://doi.org/10.32614/CRAN.package.ggforce>, R package version
## 0.4.2, <https://CRAN.R-project.org/package=ggforce>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ggforce: Accelerating 'ggplot2'},
## author = {Thomas Lin Pedersen},
## year = {2024},
## note = {R package version 0.4.2},
## url = {https://CRAN.R-project.org/package=ggforce},
## doi = {10.32614/CRAN.package.ggforce},
## }
##
## [[110]]
## To cite package 'ggpattern' in publications use:
##
## FC M, Davis T, ggplot2 authors (2025). _ggpattern: 'ggplot2' Pattern
## Geoms_. doi:10.32614/CRAN.package.ggpattern
## <https://doi.org/10.32614/CRAN.package.ggpattern>, R package version
## 1.1.4, <https://CRAN.R-project.org/package=ggpattern>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ggpattern: 'ggplot2' Pattern Geoms},
## author = {Mike FC and Trevor L. Davis and {ggplot2 authors}},
## year = {2025},
## note = {R package version 1.1.4},
## url = {https://CRAN.R-project.org/package=ggpattern},
## doi = {10.32614/CRAN.package.ggpattern},
## }
##
## [[111]]
## To cite ggplot2 in publications, please use
##
## H. Wickham. ggplot2: Elegant Graphics for Data Analysis.
## Springer-Verlag New York, 2016.
##
## A BibTeX entry for LaTeX users is
##
## @Book{,
## author = {Hadley Wickham},
## title = {ggplot2: Elegant Graphics for Data Analysis},
## publisher = {Springer-Verlag New York},
## year = {2016},
## isbn = {978-3-319-24277-4},
## url = {https://ggplot2.tidyverse.org},
## }
##
## [[112]]
## To cite package 'ggpubr' in publications use:
##
## Kassambara A (2023). _ggpubr: 'ggplot2' Based Publication Ready
## Plots_. doi:10.32614/CRAN.package.ggpubr
## <https://doi.org/10.32614/CRAN.package.ggpubr>, R package version
## 0.6.0, <https://CRAN.R-project.org/package=ggpubr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ggpubr: 'ggplot2' Based Publication Ready Plots},
## author = {Alboukadel Kassambara},
## year = {2023},
## note = {R package version 0.6.0},
## url = {https://CRAN.R-project.org/package=ggpubr},
## doi = {10.32614/CRAN.package.ggpubr},
## }
##
## [[113]]
## To cite package 'ggraph' in publications use:
##
## Pedersen T (2024). _ggraph: An Implementation of Grammar of Graphics
## for Graphs and Networks_. doi:10.32614/CRAN.package.ggraph
## <https://doi.org/10.32614/CRAN.package.ggraph>, R package version
## 2.2.1, <https://CRAN.R-project.org/package=ggraph>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ggraph: An Implementation of Grammar of Graphics for Graphs and Networks},
## author = {Thomas Lin Pedersen},
## year = {2024},
## note = {R package version 2.2.1},
## url = {https://CRAN.R-project.org/package=ggraph},
## doi = {10.32614/CRAN.package.ggraph},
## }
##
## [[114]]
## To cite package 'ggrepel' in publications use:
##
## Slowikowski K (2024). _ggrepel: Automatically Position
## Non-Overlapping Text Labels with 'ggplot2'_.
## doi:10.32614/CRAN.package.ggrepel
## <https://doi.org/10.32614/CRAN.package.ggrepel>, R package version
## 0.9.6, <https://CRAN.R-project.org/package=ggrepel>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ggrepel: Automatically Position Non-Overlapping Text Labels with
## 'ggplot2'},
## author = {Kamil Slowikowski},
## year = {2024},
## note = {R package version 0.9.6},
## url = {https://CRAN.R-project.org/package=ggrepel},
## doi = {10.32614/CRAN.package.ggrepel},
## }
##
## [[115]]
## To cite package 'ggsci' in publications use:
##
## Xiao N (2024). _ggsci: Scientific Journal and Sci-Fi Themed Color
## Palettes for 'ggplot2'_. doi:10.32614/CRAN.package.ggsci
## <https://doi.org/10.32614/CRAN.package.ggsci>, R package version
## 3.2.0, <https://CRAN.R-project.org/package=ggsci>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ggsci: Scientific Journal and Sci-Fi Themed Color Palettes for
## 'ggplot2'},
## author = {Nan Xiao},
## year = {2024},
## note = {R package version 3.2.0},
## url = {https://CRAN.R-project.org/package=ggsci},
## doi = {10.32614/CRAN.package.ggsci},
## }
##
## [[116]]
## To cite 'ggsignif' in publications use:
##
## Ahlmann-Eltze, C., & Patil, I. (2021). ggsignif: R Package for
## Displaying Significance Brackets for 'ggplot2'. PsyArxiv.
## doi:10.31234/osf.io/7awm6
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {{ggsignif}: R Package for Displaying Significance Brackets for {'ggplot2'}},
## author = {Ahlmann-Eltze Constantin and Indrajeet Patil},
## year = {2021},
## journal = {PsyArxiv},
## url = {https://psyarxiv.com/7awm6},
## doi = {10.31234/osf.io/7awm6},
## }
##
## [[117]]
## To cite package 'glasso' in publications use:
##
## Friedman J, Hastie T, Tibshirani R (2019). _glasso: Graphical Lasso:
## Estimation of Gaussian Graphical Models_.
## doi:10.32614/CRAN.package.glasso
## <https://doi.org/10.32614/CRAN.package.glasso>, R package version
## 1.11, <https://CRAN.R-project.org/package=glasso>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {glasso: Graphical Lasso: Estimation of Gaussian Graphical Models},
## author = {Jerome Friedman and Trevor Hastie and Rob Tibshirani},
## year = {2019},
## note = {R package version 1.11},
## url = {https://CRAN.R-project.org/package=glasso},
## doi = {10.32614/CRAN.package.glasso},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[118]]
## To cite package 'gld' in publications use:
##
## King R, Dean B, Klinke S, van Staden P (2025). _gld: Estimation and
## Use of the Generalised (Tukey) Lambda Distribution_.
## doi:10.32614/CRAN.package.gld
## <https://doi.org/10.32614/CRAN.package.gld>, R package version 2.6.7,
## <https://CRAN.R-project.org/package=gld>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {gld: Estimation and Use of the Generalised (Tukey) Lambda
## Distribution},
## author = {Robert King and Benjamin Dean and Sigbert Klinke and Paul {van Staden}},
## year = {2025},
## note = {R package version 2.6.7},
## url = {https://CRAN.R-project.org/package=gld},
## doi = {10.32614/CRAN.package.gld},
## }
##
## [[119]]
## To cite glmnet in publications use:
##
## Friedman J, Tibshirani R, Hastie T (2010). "Regularization Paths for
## Generalized Linear Models via Coordinate Descent." _Journal of
## Statistical Software_, *33*(1), 1-22. doi:10.18637/jss.v033.i01
## <https://doi.org/10.18637/jss.v033.i01>.
##
## If coxnet is used, please also cite:
##
## Simon N, Friedman J, Tibshirani R, Hastie T (2011). "Regularization
## Paths for Cox's Proportional Hazards Model via Coordinate Descent."
## _Journal of Statistical Software_, *39*(5), 1-13.
## doi:10.18637/jss.v039.i05 <https://doi.org/10.18637/jss.v039.i05>.
##
## If glmnet is used for generalized linear models, please also cite:
##
## Tay JK, Narasimhan B, Hastie T (2023). "Elastic Net Regularization
## Paths for All Generalized Linear Models." _Journal of Statistical
## Software_, *106*(1), 1-31. doi:10.18637/jss.v106.i01
## <https://doi.org/10.18637/jss.v106.i01>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[120]]
## To cite package 'globals' in publications use:
##
## Bengtsson H (2025). _globals: Identify Global Objects in R
## Expressions_. doi:10.32614/CRAN.package.globals
## <https://doi.org/10.32614/CRAN.package.globals>, R package version
## 0.18.0, <https://CRAN.R-project.org/package=globals>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {globals: Identify Global Objects in R Expressions},
## author = {Henrik Bengtsson},
## year = {2025},
## note = {R package version 0.18.0},
## url = {https://CRAN.R-project.org/package=globals},
## doi = {10.32614/CRAN.package.globals},
## }
##
## [[121]]
## To cite package 'glue' in publications use:
##
## Hester J, Bryan J (2024). _glue: Interpreted String Literals_.
## doi:10.32614/CRAN.package.glue
## <https://doi.org/10.32614/CRAN.package.glue>, R package version
## 1.8.0, <https://CRAN.R-project.org/package=glue>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {glue: Interpreted String Literals},
## author = {Jim Hester and Jennifer Bryan},
## year = {2024},
## note = {R package version 1.8.0},
## url = {https://CRAN.R-project.org/package=glue},
## doi = {10.32614/CRAN.package.glue},
## }
##
## [[122]]
## To cite package 'googledrive' in publications use:
##
## D'Agostino McGowan L, Bryan J (2023). _googledrive: An Interface to
## Google Drive_. doi:10.32614/CRAN.package.googledrive
## <https://doi.org/10.32614/CRAN.package.googledrive>, R package
## version 2.1.1, <https://CRAN.R-project.org/package=googledrive>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {googledrive: An Interface to Google Drive},
## author = {Lucy {D'Agostino McGowan} and Jennifer Bryan},
## year = {2023},
## note = {R package version 2.1.1},
## url = {https://CRAN.R-project.org/package=googledrive},
## doi = {10.32614/CRAN.package.googledrive},
## }
##
## [[123]]
## To cite package 'googlesheets4' in publications use:
##
## Bryan J (2023). _googlesheets4: Access Google Sheets using the Sheets
## API V4_. doi:10.32614/CRAN.package.googlesheets4
## <https://doi.org/10.32614/CRAN.package.googlesheets4>, R package
## version 1.1.1, <https://CRAN.R-project.org/package=googlesheets4>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {googlesheets4: Access Google Sheets using the Sheets API V4},
## author = {Jennifer Bryan},
## year = {2023},
## note = {R package version 1.1.1},
## url = {https://CRAN.R-project.org/package=googlesheets4},
## doi = {10.32614/CRAN.package.googlesheets4},
## }
##
## [[124]]
## To cite package 'gower' in publications use:
##
## van der Loo M (2024). _gower: Gower's Distance_.
## doi:10.32614/CRAN.package.gower
## <https://doi.org/10.32614/CRAN.package.gower>, R package version
## 1.0.2, <https://CRAN.R-project.org/package=gower>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {gower: Gower's Distance},
## author = {Mark {van der Loo}},
## year = {2024},
## note = {R package version 1.0.2},
## url = {https://CRAN.R-project.org/package=gower},
## doi = {10.32614/CRAN.package.gower},
## }
##
## [[125]]
## To cite package 'GPArotation' in publications use:
##
## Bernaards CA, Jennrich RI (2005). "Gradient Projection Algorithms and
## Software for Arbitrary Rotation Criteria in Factor Analysis."
## _Educational and Psychological Measurement_, *65*, 676-696.
## doi:10.1177/0013164404272507
## <https://doi.org/10.1177/0013164404272507>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Gradient Projection Algorithms and Software for Arbitrary Rotation Criteria in Factor Analysis},
## author = {Coen A. Bernaards and Robert I. Jennrich},
## journal = {Educational and Psychological Measurement},
## year = {2005},
## volume = {65},
## issue = {5},
## pages = {676--696},
## doi = {10.1177/0013164404272507},
## }
##
## [[126]]
## The 'graphics' package is part of R. To cite R in publications use:
##
## R Core Team (2025). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R: A Language and Environment for Statistical Computing},
## author = {{R Core Team}},
## organization = {R Foundation for Statistical Computing},
## address = {Vienna, Austria},
## year = {2025},
## url = {https://www.R-project.org/},
## }
##
## We have invested a lot of time and effort in creating R, please cite it
## when using it for data analysis. See also 'citation("pkgname")' for
## citing R packages.
##
## [[127]]
## To cite graphlayouts in publications use:
##
## Schoch, D., (2023). graphlayouts: Layout algorithms for network
## visualizations in R. Journal of Open Source Software, 8(84), 5238,
## https://doi.org/10.21105/joss.05238
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## author = {{David Schoch}},
## title = {graphlayouts: Layout algorithms for network visualizations in R},
## year = {2023},
## publisher = {The Open Journal},
## volume = {8},
## number = {84},
## pages = {5238},
## journal = {Journal of Open Source Software},
## doi = {10.21105/joss.05238},
## url = {https://doi.org/10.21105/joss.05238},
## }
##
## [[128]]
## The 'grDevices' package is part of R. To cite R in publications use:
##
## R Core Team (2025). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R: A Language and Environment for Statistical Computing},
## author = {{R Core Team}},
## organization = {R Foundation for Statistical Computing},
## address = {Vienna, Austria},
## year = {2025},
## url = {https://www.R-project.org/},
## }
##
## We have invested a lot of time and effort in creating R, please cite it
## when using it for data analysis. See also 'citation("pkgname")' for
## citing R packages.
##
## [[129]]
## The 'grid' package is part of R. To cite R in publications use:
##
## R Core Team (2025). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R: A Language and Environment for Statistical Computing},
## author = {{R Core Team}},
## organization = {R Foundation for Statistical Computing},
## address = {Vienna, Austria},
## year = {2025},
## url = {https://www.R-project.org/},
## }
##
## We have invested a lot of time and effort in creating R, please cite it
## when using it for data analysis. See also 'citation("pkgname")' for
## citing R packages.
##
## [[130]]
## To cite package 'gridExtra' in publications use:
##
## Auguie B (2017). _gridExtra: Miscellaneous Functions for "Grid"
## Graphics_. doi:10.32614/CRAN.package.gridExtra
## <https://doi.org/10.32614/CRAN.package.gridExtra>, R package version
## 2.3, <https://CRAN.R-project.org/package=gridExtra>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {gridExtra: Miscellaneous Functions for "Grid" Graphics},
## author = {Baptiste Auguie},
## year = {2017},
## note = {R package version 2.3},
## url = {https://CRAN.R-project.org/package=gridExtra},
## doi = {10.32614/CRAN.package.gridExtra},
## }
##
## [[131]]
## To cite package 'gridpattern' in publications use:
##
## Davis T, FC M (2025). _gridpattern: 'grid' Pattern Grobs_.
## doi:10.32614/CRAN.package.gridpattern
## <https://doi.org/10.32614/CRAN.package.gridpattern>, R package
## version 1.3.1, <https://CRAN.R-project.org/package=gridpattern>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {gridpattern: 'grid' Pattern Grobs},
## author = {Trevor L. Davis and Mike FC},
## year = {2025},
## note = {R package version 1.3.1},
## url = {https://CRAN.R-project.org/package=gridpattern},
## doi = {10.32614/CRAN.package.gridpattern},
## }
##
## [[132]]
## To cite package 'gtable' in publications use:
##
## Wickham H, Pedersen T (2024). _gtable: Arrange 'Grobs' in Tables_.
## doi:10.32614/CRAN.package.gtable
## <https://doi.org/10.32614/CRAN.package.gtable>, R package version
## 0.3.6, <https://CRAN.R-project.org/package=gtable>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {gtable: Arrange 'Grobs' in Tables},
## author = {Hadley Wickham and Thomas Lin Pedersen},
## year = {2024},
## note = {R package version 0.3.6},
## url = {https://CRAN.R-project.org/package=gtable},
## doi = {10.32614/CRAN.package.gtable},
## }
##
## [[133]]
## To cite package 'gtools' in publications use:
##
## Warnes G, Bolker B, Lumley T, Magnusson A, Venables B, Ryodan G,
## Moeller S (2023). _gtools: Various R Programming Tools_.
## doi:10.32614/CRAN.package.gtools
## <https://doi.org/10.32614/CRAN.package.gtools>, R package version
## 3.9.5, <https://CRAN.R-project.org/package=gtools>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {gtools: Various R Programming Tools},
## author = {Gregory R. Warnes and Ben Bolker and Thomas Lumley and Arni Magnusson and Bill Venables and Genei Ryodan and Steffen Moeller},
## year = {2023},
## note = {R package version 3.9.5},
## url = {https://CRAN.R-project.org/package=gtools},
## doi = {10.32614/CRAN.package.gtools},
## }
##
## [[134]]
## To cite package 'hardhat' in publications use:
##
## Frick H, Vaughan D, Kuhn M (2025). _hardhat: Construct Modeling
## Packages_. doi:10.32614/CRAN.package.hardhat
## <https://doi.org/10.32614/CRAN.package.hardhat>, R package version
## 1.4.1, <https://CRAN.R-project.org/package=hardhat>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {hardhat: Construct Modeling Packages},
## author = {Hannah Frick and Davis Vaughan and Max Kuhn},
## year = {2025},
## note = {R package version 1.4.1},
## url = {https://CRAN.R-project.org/package=hardhat},
## doi = {10.32614/CRAN.package.hardhat},
## }
##
## [[135]]
## To cite package 'haven' in publications use:
##
## Wickham H, Miller E, Smith D (2023). _haven: Import and Export
## 'SPSS', 'Stata' and 'SAS' Files_. doi:10.32614/CRAN.package.haven
## <https://doi.org/10.32614/CRAN.package.haven>, R package version
## 2.5.4, <https://CRAN.R-project.org/package=haven>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {haven: Import and Export 'SPSS', 'Stata' and 'SAS' Files},
## author = {Hadley Wickham and Evan Miller and Danny Smith},
## year = {2023},
## note = {R package version 2.5.4},
## url = {https://CRAN.R-project.org/package=haven},
## doi = {10.32614/CRAN.package.haven},
## }
##
## [[136]]
## To cite package 'here' in publications use:
##
## Müller K (2020). _here: A Simpler Way to Find Your Files_.
## doi:10.32614/CRAN.package.here
## <https://doi.org/10.32614/CRAN.package.here>, R package version
## 1.0.1, <https://CRAN.R-project.org/package=here>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {here: A Simpler Way to Find Your Files},
## author = {Kirill Müller},
## year = {2020},
## note = {R package version 1.0.1},
## url = {https://CRAN.R-project.org/package=here},
## doi = {10.32614/CRAN.package.here},
## }
##
## [[137]]
## To cite package 'highr' in publications use:
##
## Xie Y, Qiu Y (2024). _highr: Syntax Highlighting for R Source Code_.
## doi:10.32614/CRAN.package.highr
## <https://doi.org/10.32614/CRAN.package.highr>, R package version
## 0.11, <https://CRAN.R-project.org/package=highr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {highr: Syntax Highlighting for R Source Code},
## author = {Yihui Xie and Yixuan Qiu},
## year = {2024},
## note = {R package version 0.11},
## url = {https://CRAN.R-project.org/package=highr},
## doi = {10.32614/CRAN.package.highr},
## }
##
## [[138]]
## To cite package 'HistData' in publications use:
##
## Friendly M (2025). _HistData: Data Sets from the History of
## Statistics and Data Visualization_.
## doi:10.32614/CRAN.package.HistData
## <https://doi.org/10.32614/CRAN.package.HistData>, R package version
## 0.9-3, <https://CRAN.R-project.org/package=HistData>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {HistData: Data Sets from the History of Statistics and Data Visualization},
## author = {Michael Friendly},
## year = {2025},
## note = {R package version 0.9-3},
## url = {https://CRAN.R-project.org/package=HistData},
## doi = {10.32614/CRAN.package.HistData},
## }
##
## [[139]]
## To cite package 'Hmisc' in publications use:
##
## Harrell Jr F (2025). _Hmisc: Harrell Miscellaneous_.
## doi:10.32614/CRAN.package.Hmisc
## <https://doi.org/10.32614/CRAN.package.Hmisc>, R package version
## 5.2-3, <https://CRAN.R-project.org/package=Hmisc>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {Hmisc: Harrell Miscellaneous},
## author = {Frank E {Harrell Jr}},
## year = {2025},
## note = {R package version 5.2-3},
## url = {https://CRAN.R-project.org/package=Hmisc},
## doi = {10.32614/CRAN.package.Hmisc},
## }
##
## [[140]]
## To cite package 'hms' in publications use:
##
## Müller K (2023). _hms: Pretty Time of Day_.
## doi:10.32614/CRAN.package.hms
## <https://doi.org/10.32614/CRAN.package.hms>, R package version 1.1.3,
## <https://CRAN.R-project.org/package=hms>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {hms: Pretty Time of Day},
## author = {Kirill Müller},
## year = {2023},
## note = {R package version 1.1.3},
## url = {https://CRAN.R-project.org/package=hms},
## doi = {10.32614/CRAN.package.hms},
## }
##
## [[141]]
## To cite package 'htmlTable' in publications use:
##
## Gordon M, Gragg S, Konings P (2024). _htmlTable: Advanced Tables for
## Markdown/HTML_. doi:10.32614/CRAN.package.htmlTable
## <https://doi.org/10.32614/CRAN.package.htmlTable>, R package version
## 2.4.3, <https://CRAN.R-project.org/package=htmlTable>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {htmlTable: Advanced Tables for Markdown/HTML},
## author = {Max Gordon and Stephen Gragg and Peter Konings},
## year = {2024},
## note = {R package version 2.4.3},
## url = {https://CRAN.R-project.org/package=htmlTable},
## doi = {10.32614/CRAN.package.htmlTable},
## }
##
## [[142]]
## To cite package 'htmltools' in publications use:
##
## Cheng J, Sievert C, Schloerke B, Chang W, Xie Y, Allen J (2024).
## _htmltools: Tools for HTML_. doi:10.32614/CRAN.package.htmltools
## <https://doi.org/10.32614/CRAN.package.htmltools>, R package version
## 0.5.8.1, <https://CRAN.R-project.org/package=htmltools>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {htmltools: Tools for HTML},
## author = {Joe Cheng and Carson Sievert and Barret Schloerke and Winston Chang and Yihui Xie and Jeff Allen},
## year = {2024},
## note = {R package version 0.5.8.1},
## url = {https://CRAN.R-project.org/package=htmltools},
## doi = {10.32614/CRAN.package.htmltools},
## }
##
## [[143]]
## To cite package 'htmlwidgets' in publications use:
##
## Vaidyanathan R, Xie Y, Allaire J, Cheng J, Sievert C, Russell K
## (2023). _htmlwidgets: HTML Widgets for R_.
## doi:10.32614/CRAN.package.htmlwidgets
## <https://doi.org/10.32614/CRAN.package.htmlwidgets>, R package
## version 1.6.4, <https://CRAN.R-project.org/package=htmlwidgets>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {htmlwidgets: HTML Widgets for R},
## author = {Ramnath Vaidyanathan and Yihui Xie and JJ Allaire and Joe Cheng and Carson Sievert and Kenton Russell},
## year = {2023},
## note = {R package version 1.6.4},
## url = {https://CRAN.R-project.org/package=htmlwidgets},
## doi = {10.32614/CRAN.package.htmlwidgets},
## }
##
## [[144]]
## To cite package 'httpuv' in publications use:
##
## Cheng J, Chang W, Reid S, Brown J, Trower B, Peslyak A (2024).
## _httpuv: HTTP and WebSocket Server Library_.
## doi:10.32614/CRAN.package.httpuv
## <https://doi.org/10.32614/CRAN.package.httpuv>, R package version
## 1.6.15, <https://CRAN.R-project.org/package=httpuv>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {httpuv: HTTP and WebSocket Server Library},
## author = {Joe Cheng and Winston Chang and Steve Reid and James Brown and Bob Trower and Alexander Peslyak},
## year = {2024},
## note = {R package version 1.6.15},
## url = {https://CRAN.R-project.org/package=httpuv},
## doi = {10.32614/CRAN.package.httpuv},
## }
##
## [[145]]
## To cite package 'httr' in publications use:
##
## Wickham H (2023). _httr: Tools for Working with URLs and HTTP_.
## doi:10.32614/CRAN.package.httr
## <https://doi.org/10.32614/CRAN.package.httr>, R package version
## 1.4.7, <https://CRAN.R-project.org/package=httr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {httr: Tools for Working with URLs and HTTP},
## author = {Hadley Wickham},
## year = {2023},
## note = {R package version 1.4.7},
## url = {https://CRAN.R-project.org/package=httr},
## doi = {10.32614/CRAN.package.httr},
## }
##
## [[146]]
## To cite package 'ids' in publications use:
##
## FitzJohn R (2017). _ids: Generate Random Identifiers_.
## doi:10.32614/CRAN.package.ids
## <https://doi.org/10.32614/CRAN.package.ids>, R package version 1.0.1,
## <https://CRAN.R-project.org/package=ids>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ids: Generate Random Identifiers},
## author = {Rich FitzJohn},
## year = {2017},
## note = {R package version 1.0.1},
## url = {https://CRAN.R-project.org/package=ids},
## doi = {10.32614/CRAN.package.ids},
## }
##
## [[147]]
## To cite 'igraph' in publications use:
##
## Csardi G, Nepusz T (2006). "The igraph software package for complex
## network research." _InterJournal_, *Complex Systems*, 1695.
## <https://igraph.org>.
##
## Csárdi G, Nepusz T, Traag V, Horvát Sz, Zanini F, Noom D, Müller K
## (2025). _igraph: Network Analysis and Visualization in R_.
## doi:10.5281/zenodo.7682609 <https://doi.org/10.5281/zenodo.7682609>, R
## package version 2.1.4, <https://CRAN.R-project.org/package=igraph>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[148]]
## To cite package imbalance in publications use:
##
## Cordón I, García S, Fernández A, Herrera F (2018). "Imbalance:
## Oversampling algorithms for imbalanced classification in R",
## Knowledge-Based Systems, volume 161, pages 329-341
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Imbalance: Oversampling algorithms for imbalanced classification in R},
## author = {Ignacio Cordón and Salvador García and Alberto Fernández and Francisco Herrera},
## month = {12},
## year = {2018},
## pages = {329-341},
## journal = {Knowledge-Based Systems},
## volume = {161},
## url = {https://doi.org/10.1016/j.knosys.2018.07.035},
## }
##
## [[149]]
## To cite package 'inum' in publications use:
##
## Hothorn T (2023). _inum: Interval and Enum-Type Representation of
## Vectors_. doi:10.32614/CRAN.package.inum
## <https://doi.org/10.32614/CRAN.package.inum>, R package version
## 1.0-5, <https://CRAN.R-project.org/package=inum>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {inum: Interval and Enum-Type Representation of Vectors},
## author = {Torsten Hothorn},
## year = {2023},
## note = {R package version 1.0-5},
## url = {https://CRAN.R-project.org/package=inum},
## doi = {10.32614/CRAN.package.inum},
## }
##
## [[150]]
## To cite package 'ipred' in publications use:
##
## Peters A, Hothorn T (2024). _ipred: Improved Predictors_.
## doi:10.32614/CRAN.package.ipred
## <https://doi.org/10.32614/CRAN.package.ipred>, R package version
## 0.9-15, <https://CRAN.R-project.org/package=ipred>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ipred: Improved Predictors},
## author = {Andrea Peters and Torsten Hothorn},
## year = {2024},
## note = {R package version 0.9-15},
## url = {https://CRAN.R-project.org/package=ipred},
## doi = {10.32614/CRAN.package.ipred},
## }
##
## [[151]]
## To cite package 'irr' in publications use:
##
## Gamer M, Lemon J, <puspendra.pusp22@gmail.com> IFPS (2019). _irr:
## Various Coefficients of Interrater Reliability and Agreement_.
## doi:10.32614/CRAN.package.irr
## <https://doi.org/10.32614/CRAN.package.irr>, R package version
## 0.84.1, <https://CRAN.R-project.org/package=irr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {irr: Various Coefficients of Interrater Reliability and Agreement},
## author = {Matthias Gamer and Jim Lemon and Ian Fellows Puspendra Singh <puspendra.pusp22@gmail.com>},
## year = {2019},
## note = {R package version 0.84.1},
## url = {https://CRAN.R-project.org/package=irr},
## doi = {10.32614/CRAN.package.irr},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[152]]
## To cite package 'isoband' in publications use:
##
## Wickham H, Wilke C, Pedersen T (2022). _isoband: Generate Isolines
## and Isobands from Regularly Spaced Elevation Grids_.
## doi:10.32614/CRAN.package.isoband
## <https://doi.org/10.32614/CRAN.package.isoband>, R package version
## 0.2.7, <https://CRAN.R-project.org/package=isoband>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {isoband: Generate Isolines and Isobands from Regularly Spaced Elevation
## Grids},
## author = {Hadley Wickham and Claus O. Wilke and Thomas Lin Pedersen},
## year = {2022},
## note = {R package version 0.2.7},
## url = {https://CRAN.R-project.org/package=isoband},
## doi = {10.32614/CRAN.package.isoband},
## }
##
## [[153]]
## To cite package 'iterators' in publications use:
##
## Analytics R, Weston S (2022). _iterators: Provides Iterator
## Construct_. doi:10.32614/CRAN.package.iterators
## <https://doi.org/10.32614/CRAN.package.iterators>, R package version
## 1.0.14, <https://CRAN.R-project.org/package=iterators>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {iterators: Provides Iterator Construct},
## author = {Revolution Analytics and Steve Weston},
## year = {2022},
## note = {R package version 1.0.14},
## url = {https://CRAN.R-project.org/package=iterators},
## doi = {10.32614/CRAN.package.iterators},
## }
##
## [[154]]
## To cite package 'jpeg' in publications use:
##
## Urbanek S (2025). _jpeg: Read and write JPEG images_.
## doi:10.32614/CRAN.package.jpeg
## <https://doi.org/10.32614/CRAN.package.jpeg>, R package version
## 0.1-11, <https://CRAN.R-project.org/package=jpeg>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {jpeg: Read and write JPEG images},
## author = {Simon Urbanek},
## year = {2025},
## note = {R package version 0.1-11},
## url = {https://CRAN.R-project.org/package=jpeg},
## doi = {10.32614/CRAN.package.jpeg},
## }
##
## [[155]]
## To cite package 'jquerylib' in publications use:
##
## Sievert C, Cheng J (2021). _jquerylib: Obtain 'jQuery' as an HTML
## Dependency Object_. doi:10.32614/CRAN.package.jquerylib
## <https://doi.org/10.32614/CRAN.package.jquerylib>, R package version
## 0.1.4, <https://CRAN.R-project.org/package=jquerylib>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {jquerylib: Obtain 'jQuery' as an HTML Dependency Object},
## author = {Carson Sievert and Joe Cheng},
## year = {2021},
## note = {R package version 0.1.4},
## url = {https://CRAN.R-project.org/package=jquerylib},
## doi = {10.32614/CRAN.package.jquerylib},
## }
##
## [[156]]
## To cite jsonlite in publications use:
##
## Ooms J (2014). "The jsonlite Package: A Practical and Consistent
## Mapping Between JSON Data and R Objects." _arXiv:1403.2805
## [stat.CO]_. <https://arxiv.org/abs/1403.2805>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {The jsonlite Package: A Practical and Consistent Mapping Between JSON Data and R Objects},
## author = {Jeroen Ooms},
## journal = {arXiv:1403.2805 [stat.CO]},
## year = {2014},
## url = {https://arxiv.org/abs/1403.2805},
## }
##
## [[157]]
## To cite package 'kableExtra' in publications use:
##
## Zhu H (2024). _kableExtra: Construct Complex Table with 'kable' and
## Pipe Syntax_. doi:10.32614/CRAN.package.kableExtra
## <https://doi.org/10.32614/CRAN.package.kableExtra>, R package version
## 1.4.0, <https://CRAN.R-project.org/package=kableExtra>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {kableExtra: Construct Complex Table with 'kable' and Pipe Syntax},
## author = {Hao Zhu},
## year = {2024},
## note = {R package version 1.4.0},
## url = {https://CRAN.R-project.org/package=kableExtra},
## doi = {10.32614/CRAN.package.kableExtra},
## }
##
## [[158]]
## Please cite the package in your publications:
##
## Mouselimis L (2023). _KernelKnn: Kernel k Nearest Neighbors_. R
## package version 1.1.5,
## <https://CRAN.R-project.org/package=KernelKnn>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {{KernelKnn}: Kernel k Nearest Neighbors},
## author = {Lampros Mouselimis},
## year = {2023},
## note = {R package version 1.1.5},
## url = {https://CRAN.R-project.org/package=KernelKnn},
## }
##
## [[159]]
## To cite package 'kernlab' in publications use:
##
## Karatzoglou A, Smola A, Hornik K (2024). _kernlab: Kernel-Based
## Machine Learning Lab_. doi:10.32614/CRAN.package.kernlab
## <https://doi.org/10.32614/CRAN.package.kernlab>, R package version
## 0.9-33, <https://CRAN.R-project.org/package=kernlab>.
##
## Karatzoglou A, Smola A, Hornik K, Zeileis A (2004). "kernlab - An S4
## Package for Kernel Methods in R." _Journal of Statistical Software_,
## *11*(9), 1-20. doi:10.18637/jss.v011.i09
## <https://doi.org/10.18637/jss.v011.i09>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[160]]
## To cite package 'KernSmooth' in publications use:
##
## Wand M (2025). _KernSmooth: Functions for Kernel Smoothing Supporting
## Wand & Jones (1995)_. doi:10.32614/CRAN.package.KernSmooth
## <https://doi.org/10.32614/CRAN.package.KernSmooth>, R package version
## 2.23-26, <https://CRAN.R-project.org/package=KernSmooth>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {KernSmooth: Functions for Kernel Smoothing Supporting Wand & Jones (1995)},
## author = {Matt Wand},
## year = {2025},
## note = {R package version 2.23-26},
## url = {https://CRAN.R-project.org/package=KernSmooth},
## doi = {10.32614/CRAN.package.KernSmooth},
## }
##
## [[161]]
## To cite package 'knitr' in publications use:
##
## Xie Y (2025). _knitr: A General-Purpose Package for Dynamic Report
## Generation in R_. R package version 1.50, <https://yihui.org/knitr/>.
##
## Yihui Xie (2015) Dynamic Documents with R and knitr. 2nd edition.
## Chapman and Hall/CRC. ISBN 978-1498716963
##
## Yihui Xie (2014) knitr: A Comprehensive Tool for Reproducible
## Research in R. In Victoria Stodden, Friedrich Leisch and Roger D.
## Peng, editors, Implementing Reproducible Computational Research.
## Chapman and Hall/CRC. ISBN 978-1466561595
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[162]]
## To cite package 'labeling' in publications use:
##
## Talbot, J (2023). _labeling: Axis Labeling_.
## doi:10.32614/CRAN.package.labeling
## <https://doi.org/10.32614/CRAN.package.labeling>, R package version
## 0.4.3, <https://CRAN.R-project.org/package=labeling>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {labeling: Axis Labeling},
## author = {Justin Talbot,},
## year = {2023},
## note = {R package version 0.4.3},
## url = {https://CRAN.R-project.org/package=labeling},
## doi = {10.32614/CRAN.package.labeling},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[163]]
## To cite package 'later' in publications use:
##
## Chang W, Cheng J, Gao C (2025). _later: Utilities for Scheduling
## Functions to Execute Later with Event Loops_.
## doi:10.32614/CRAN.package.later
## <https://doi.org/10.32614/CRAN.package.later>, R package version
## 1.4.2, <https://CRAN.R-project.org/package=later>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {later: Utilities for Scheduling Functions to Execute Later with Event
## Loops},
## author = {Winston Chang and Joe Cheng and Charlie Gao},
## year = {2025},
## note = {R package version 1.4.2},
## url = {https://CRAN.R-project.org/package=later},
## doi = {10.32614/CRAN.package.later},
## }
##
## [[164]]
## To cite package 'latex2exp' in publications use:
##
## Meschiari S (2022). _latex2exp: Use LaTeX Expressions in Plots_.
## doi:10.32614/CRAN.package.latex2exp
## <https://doi.org/10.32614/CRAN.package.latex2exp>, R package version
## 0.9.6, <https://CRAN.R-project.org/package=latex2exp>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {latex2exp: Use LaTeX Expressions in Plots},
## author = {Stefano Meschiari},
## year = {2022},
## note = {R package version 0.9.6},
## url = {https://CRAN.R-project.org/package=latex2exp},
## doi = {10.32614/CRAN.package.latex2exp},
## }
##
## [[165]]
## To cite package 'lattice' in publications use:
##
## Sarkar D (2008). _Lattice: Multivariate Data Visualization with R_.
## Springer, New York. ISBN 978-0-387-75968-5,
## <http://lmdvr.r-forge.r-project.org>.
##
## A BibTeX entry for LaTeX users is
##
## @Book{,
## title = {Lattice: Multivariate Data Visualization with R},
## author = {Deepayan Sarkar},
## year = {2008},
## publisher = {Springer},
## address = {New York},
## isbn = {978-0-387-75968-5},
## url = {http://lmdvr.r-forge.r-project.org},
## }
##
## [[166]]
## To cite 'lava' in publications use:
##
## Klaus K. Holst and Esben Budtz-Joergensen (2013). Linear Latent
## Variable Models: The lava-package. Computational Statistics, 28 (4),
## pp. 1385-1452. doi: 10.1007/s00180-012-0344-y.
##
## Klaus K. Holst and Esben Budtz-Joergensen (2020). A two-stage
## estimation procedure for non-linear structural equation models.
## Biostatistics, 21 (4), pp. 676-691. doi:
## 10.1093/biostatistics/kxy082.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[167]]
## To cite lavaan in publications use:
##
## Yves Rosseel (2012). lavaan: An R Package for Structural Equation
## Modeling. Journal of Statistical Software, 48(2), 1-36.
## https://doi.org/10.18637/jss.v048.i02
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {{lavaan}: An {R} Package for Structural Equation Modeling},
## author = {Yves Rosseel},
## journal = {Journal of Statistical Software},
## year = {2012},
## volume = {48},
## number = {2},
## pages = {1--36},
## doi = {10.18637/jss.v048.i02},
## }
##
## [[168]]
## To cite package 'lazyeval' in publications use:
##
## Wickham H (2019). _lazyeval: Lazy (Non-Standard) Evaluation_.
## doi:10.32614/CRAN.package.lazyeval
## <https://doi.org/10.32614/CRAN.package.lazyeval>, R package version
## 0.2.2, <https://CRAN.R-project.org/package=lazyeval>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {lazyeval: Lazy (Non-Standard) Evaluation},
## author = {Hadley Wickham},
## year = {2019},
## note = {R package version 0.2.2},
## url = {https://CRAN.R-project.org/package=lazyeval},
## doi = {10.32614/CRAN.package.lazyeval},
## }
##
## [[169]]
## To cite package 'leaflet' in publications use:
##
## Cheng J, Schloerke B, Karambelkar B, Xie Y (2024). _leaflet: Create
## Interactive Web Maps with the JavaScript 'Leaflet' Library_.
## doi:10.32614/CRAN.package.leaflet
## <https://doi.org/10.32614/CRAN.package.leaflet>, R package version
## 2.2.2, <https://CRAN.R-project.org/package=leaflet>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {leaflet: Create Interactive Web Maps with the JavaScript 'Leaflet'
## Library},
## author = {Joe Cheng and Barret Schloerke and Bhaskar Karambelkar and Yihui Xie},
## year = {2024},
## note = {R package version 2.2.2},
## url = {https://CRAN.R-project.org/package=leaflet},
## doi = {10.32614/CRAN.package.leaflet},
## }
##
## [[170]]
## To cite package 'leaflet.providers' in publications use:
##
## Huang L (2023). _leaflet.providers: Leaflet Providers_.
## doi:10.32614/CRAN.package.leaflet.providers
## <https://doi.org/10.32614/CRAN.package.leaflet.providers>, R package
## version 2.0.0,
## <https://CRAN.R-project.org/package=leaflet.providers>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {leaflet.providers: Leaflet Providers},
## author = {Leslie Huang},
## year = {2023},
## note = {R package version 2.0.0},
## url = {https://CRAN.R-project.org/package=leaflet.providers},
## doi = {10.32614/CRAN.package.leaflet.providers},
## }
##
## [[171]]
## To cite package 'leaps' in publications use:
##
## Miller TLboFcbA (2024). _leaps: Regression Subset Selection_.
## doi:10.32614/CRAN.package.leaps
## <https://doi.org/10.32614/CRAN.package.leaps>, R package version 3.2,
## <https://CRAN.R-project.org/package=leaps>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {leaps: Regression Subset Selection},
## author = {Thomas Lumley based on Fortran code by Alan Miller},
## year = {2024},
## note = {R package version 3.2},
## url = {https://CRAN.R-project.org/package=leaps},
## doi = {10.32614/CRAN.package.leaps},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[172]]
## To cite package 'libcoin' in publications use:
##
## Hothorn T, Winell H (2023). _libcoin: Linear Test Statistics for
## Permutation Inference_. doi:10.32614/CRAN.package.libcoin
## <https://doi.org/10.32614/CRAN.package.libcoin>, R package version
## 1.0-10, <https://CRAN.R-project.org/package=libcoin>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {libcoin: Linear Test Statistics for Permutation Inference},
## author = {Torsten Hothorn and Henric Winell},
## year = {2023},
## note = {R package version 1.0-10},
## url = {https://CRAN.R-project.org/package=libcoin},
## doi = {10.32614/CRAN.package.libcoin},
## }
##
## [[173]]
## To cite package 'lifecycle' in publications use:
##
## Henry L, Wickham H (2023). _lifecycle: Manage the Life Cycle of your
## Package Functions_. doi:10.32614/CRAN.package.lifecycle
## <https://doi.org/10.32614/CRAN.package.lifecycle>, R package version
## 1.0.4, <https://CRAN.R-project.org/package=lifecycle>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {lifecycle: Manage the Life Cycle of your Package Functions},
## author = {Lionel Henry and Hadley Wickham},
## year = {2023},
## note = {R package version 1.0.4},
## url = {https://CRAN.R-project.org/package=lifecycle},
## doi = {10.32614/CRAN.package.lifecycle},
## }
##
## [[174]]
## To cite package 'listenv' in publications use:
##
## Bengtsson H (2024). _listenv: Environments Behaving (Almost) as
## Lists_. doi:10.32614/CRAN.package.listenv
## <https://doi.org/10.32614/CRAN.package.listenv>, R package version
## 0.9.1, <https://CRAN.R-project.org/package=listenv>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {listenv: Environments Behaving (Almost) as Lists},
## author = {Henrik Bengtsson},
## year = {2024},
## note = {R package version 0.9.1},
## url = {https://CRAN.R-project.org/package=listenv},
## doi = {10.32614/CRAN.package.listenv},
## }
##
## [[175]]
## To cite lme4 in publications use:
##
## Douglas Bates, Martin Maechler, Ben Bolker, Steve Walker (2015).
## Fitting Linear Mixed-Effects Models Using lme4. Journal of
## Statistical Software, 67(1), 1-48. doi:10.18637/jss.v067.i01.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Fitting Linear Mixed-Effects Models Using {lme4}},
## author = {Douglas Bates and Martin M{\"a}chler and Ben Bolker and Steve Walker},
## journal = {Journal of Statistical Software},
## year = {2015},
## volume = {67},
## number = {1},
## pages = {1--48},
## doi = {10.18637/jss.v067.i01},
## }
##
## [[176]]
## To cite package 'lmom' in publications use:
##
## J. R. M. Hosking (2024). L-Moments. R package, version 3.2. URL:
## https://CRAN.R-project.org/package=lmom.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {L-Moments},
## author = {J. R. M. Hosking},
## year = {2024},
## note = {R package, version 3.2},
## url = {https://CRAN.R-project.org/package=lmom},
## }
##
## [[177]]
## To cite lmtest in publications use:
##
## Achim Zeileis, Torsten Hothorn (2002). Diagnostic Checking in
## Regression Relationships. R News 2(3), 7-10. URL
## https://CRAN.R-project.org/doc/Rnews/
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Diagnostic Checking in Regression Relationships},
## author = {Achim Zeileis and Torsten Hothorn},
## journal = {R News},
## year = {2002},
## volume = {2},
## number = {3},
## pages = {7--10},
## url = {https://CRAN.R-project.org/doc/Rnews/},
## }
##
## [[178]]
## To cite package 'lpSolve' in publications use:
##
## Berkelaar M (2024). _lpSolve: Interface to 'Lp_solve' v. 5.5 to Solve
## Linear/Integer Programs_. doi:10.32614/CRAN.package.lpSolve
## <https://doi.org/10.32614/CRAN.package.lpSolve>, R package version
## 5.6.23, <https://CRAN.R-project.org/package=lpSolve>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {lpSolve: Interface to 'Lp_solve' v. 5.5 to Solve Linear/Integer Programs},
## author = {Michel Berkelaar},
## year = {2024},
## note = {R package version 5.6.23},
## url = {https://CRAN.R-project.org/package=lpSolve},
## doi = {10.32614/CRAN.package.lpSolve},
## }
##
## [[179]]
## To cite package 'lpSolveAPI' in publications use:
##
## lp_solve, Konis K, Schwendinger F (2025). _lpSolveAPI: R Interface to
## 'lp_solve' Version 5.5.2.0_. doi:10.32614/CRAN.package.lpSolveAPI
## <https://doi.org/10.32614/CRAN.package.lpSolveAPI>, R package version
## 5.5.2.0-17.14, <https://CRAN.R-project.org/package=lpSolveAPI>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {lpSolveAPI: R Interface to 'lp_solve' Version 5.5.2.0},
## author = {{lp_solve} and Kjell Konis and Florian Schwendinger},
## year = {2025},
## note = {R package version 5.5.2.0-17.14},
## url = {https://CRAN.R-project.org/package=lpSolveAPI},
## doi = {10.32614/CRAN.package.lpSolveAPI},
## }
##
## [[180]]
## To cite lubridate in publications use:
##
## Garrett Grolemund, Hadley Wickham (2011). Dates and Times Made Easy
## with lubridate. Journal of Statistical Software, 40(3), 1-25. URL
## https://www.jstatsoft.org/v40/i03/.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Dates and Times Made Easy with {lubridate}},
## author = {Garrett Grolemund and Hadley Wickham},
## journal = {Journal of Statistical Software},
## year = {2011},
## volume = {40},
## number = {3},
## pages = {1--25},
## url = {https://www.jstatsoft.org/v40/i03/},
## }
##
## [[181]]
## To cite package 'magrittr' in publications use:
##
## Bache S, Wickham H (2022). _magrittr: A Forward-Pipe Operator for R_.
## doi:10.32614/CRAN.package.magrittr
## <https://doi.org/10.32614/CRAN.package.magrittr>, R package version
## 2.0.3, <https://CRAN.R-project.org/package=magrittr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {magrittr: A Forward-Pipe Operator for R},
## author = {Stefan Milton Bache and Hadley Wickham},
## year = {2022},
## note = {R package version 2.0.3},
## url = {https://CRAN.R-project.org/package=magrittr},
## doi = {10.32614/CRAN.package.magrittr},
## }
##
## [[182]]
## To cite package 'markovchain' in publications use:
##
## Spedicato G (2017). "Discrete Time Markov Chains with R." _The R
## Journal_, *9*(2), 84-104.
## <https://journal.r-project.org/archive/2017/RJ-2017-036/index.html>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Discrete Time Markov Chains with R},
## author = {Giorgio Alfredo Spedicato},
## journal = {The R Journal},
## year = {2017},
## volume = {9},
## number = {2},
## pages = {84--104},
## url = {https://journal.r-project.org/archive/2017/RJ-2017-036/index.html},
## }
##
## [[183]]
## To cite the MASS package in publications use:
##
## Venables, W. N. & Ripley, B. D. (2002) Modern Applied Statistics with
## S. Fourth Edition. Springer, New York. ISBN 0-387-95457-0
##
## A BibTeX entry for LaTeX users is
##
## @Book{,
## title = {Modern Applied Statistics with S},
## author = {W. N. Venables and B. D. Ripley},
## publisher = {Springer},
## edition = {Fourth},
## address = {New York},
## year = {2002},
## note = {ISBN 0-387-95457-0},
## url = {https://www.stats.ox.ac.uk/pub/MASS4/},
## }
##
## [[184]]
## To cite package 'Matrix' in publications use:
##
## Bates D, Maechler M, Jagan M (2025). _Matrix: Sparse and Dense Matrix
## Classes and Methods_. doi:10.32614/CRAN.package.Matrix
## <https://doi.org/10.32614/CRAN.package.Matrix>, R package version
## 1.7-3, <https://CRAN.R-project.org/package=Matrix>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {Matrix: Sparse and Dense Matrix Classes and Methods},
## author = {Douglas Bates and Martin Maechler and Mikael Jagan},
## year = {2025},
## note = {R package version 1.7-3},
## url = {https://CRAN.R-project.org/package=Matrix},
## doi = {10.32614/CRAN.package.Matrix},
## }
##
## [[185]]
## To cite package 'MatrixModels' in publications use:
##
## Bates D, Maechler M (2025). _MatrixModels: Modelling with Sparse and
## Dense Matrices_. doi:10.32614/CRAN.package.MatrixModels
## <https://doi.org/10.32614/CRAN.package.MatrixModels>, R package
## version 0.5-4, <https://CRAN.R-project.org/package=MatrixModels>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {MatrixModels: Modelling with Sparse and Dense Matrices},
## author = {Douglas Bates and Martin Maechler},
## year = {2025},
## note = {R package version 0.5-4},
## url = {https://CRAN.R-project.org/package=MatrixModels},
## doi = {10.32614/CRAN.package.MatrixModels},
## }
##
## [[186]]
## To cite package 'mcmc' in publications use:
##
## Geyer CJ, Johnson LT (2023). _mcmc: Markov Chain Monte Carlo_.
## doi:10.32614/CRAN.package.mcmc
## <https://doi.org/10.32614/CRAN.package.mcmc>, R package version
## 0.9-8, <https://CRAN.R-project.org/package=mcmc>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {mcmc: Markov Chain Monte Carlo},
## author = {Charles J. Geyer and Leif T. Johnson},
## year = {2023},
## note = {R package version 0.9-8},
## url = {https://CRAN.R-project.org/package=mcmc},
## doi = {10.32614/CRAN.package.mcmc},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[187]]
## To cite package 'MCMCpack' in publications use:
##
## Martin AD, Quinn KM, Park J (2011). "MCMCpack: Markov Chain Monte
## Carlo in R." _Journal of Statistical Software_, *42*(9), 22.
## doi:10.18637/jss.v042.i09 <https://doi.org/10.18637/jss.v042.i09>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {{MCMCpack}: Markov Chain Monte Carlo in {R}},
## author = {Andrew D. Martin and Kevin M. Quinn and Jong Hee Park},
## year = {2011},
## journal = {Journal of Statistical Software},
## year = {2011},
## volume = {42},
## number = {9},
## pages = {22},
## doi = {10.18637/jss.v042.i09},
## }
##
## [[188]]
## To cite package 'memoise' in publications use:
##
## Wickham H, Hester J, Chang W, Müller K, Cook D (2021). _memoise:
## 'Memoisation' of Functions_. doi:10.32614/CRAN.package.memoise
## <https://doi.org/10.32614/CRAN.package.memoise>, R package version
## 2.0.1, <https://CRAN.R-project.org/package=memoise>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {memoise: 'Memoisation' of Functions},
## author = {Hadley Wickham and Jim Hester and Winston Chang and Kirill Müller and Daniel Cook},
## year = {2021},
## note = {R package version 2.0.1},
## url = {https://CRAN.R-project.org/package=memoise},
## doi = {10.32614/CRAN.package.memoise},
## }
##
## [[189]]
## The 'methods' package is part of R. To cite R in publications use:
##
## R Core Team (2025). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R: A Language and Environment for Statistical Computing},
## author = {{R Core Team}},
## organization = {R Foundation for Statistical Computing},
## address = {Vienna, Austria},
## year = {2025},
## url = {https://www.R-project.org/},
## }
##
## We have invested a lot of time and effort in creating R, please cite it
## when using it for data analysis. See also 'citation("pkgname")' for
## citing R packages.
##
## [[190]]
## To cite metR in publications use:
##
##
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {metR: Tools for Easier Analysis of Meteorological Fields},
## author = {Elio Campitelli},
## year = {2021},
## note = {R package version 0.18.0},
## url = {https://eliocamp.github.io/metR/},
## doi = {10.5281/zenodo.2593516},
## }
##
## [[191]]
## 2011 for generalized additive model method; 2016 for beyond exponential
## family; 2004 for strictly additive GCV based model method and basics of
## gamm; 2017 for overview; 2003 for thin plate regression splines.
##
## Wood, S.N. (2011) Fast stable restricted maximum likelihood and
## marginal likelihood estimation of semiparametric generalized linear
## models. Journal of the Royal Statistical Society (B) 73(1):3-36
##
## Wood S.N., N. Pya and B. Saefken (2016) Smoothing parameter and model
## selection for general smooth models (with discussion). Journal of the
## American Statistical Association 111:1548-1575.
##
## Wood, S.N. (2004) Stable and efficient multiple smoothing parameter
## estimation for generalized additive models. Journal of the American
## Statistical Association. 99:673-686.
##
## Wood, S.N. (2017) Generalized Additive Models: An Introduction with R
## (2nd edition). Chapman and Hall/CRC.
##
## Wood, S.N. (2003) Thin-plate regression splines. Journal of the Royal
## Statistical Society (B) 65(1):95-114.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[192]]
## To cite package 'microbenchmark' in publications use:
##
## Mersmann O (2024). _microbenchmark: Accurate Timing Functions_.
## doi:10.32614/CRAN.package.microbenchmark
## <https://doi.org/10.32614/CRAN.package.microbenchmark>, R package
## version 1.5.0, <https://CRAN.R-project.org/package=microbenchmark>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {microbenchmark: Accurate Timing Functions},
## author = {Olaf Mersmann},
## year = {2024},
## note = {R package version 1.5.0},
## url = {https://CRAN.R-project.org/package=microbenchmark},
## doi = {10.32614/CRAN.package.microbenchmark},
## }
##
## [[193]]
## To cite package 'mime' in publications use:
##
## Xie Y (2025). _mime: Map Filenames to MIME Types_.
## doi:10.32614/CRAN.package.mime
## <https://doi.org/10.32614/CRAN.package.mime>, R package version 0.13,
## <https://CRAN.R-project.org/package=mime>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {mime: Map Filenames to MIME Types},
## author = {Yihui Xie},
## year = {2025},
## note = {R package version 0.13},
## url = {https://CRAN.R-project.org/package=mime},
## doi = {10.32614/CRAN.package.mime},
## }
##
## [[194]]
## To cite package 'minqa' in publications use:
##
## Bates D, Mullen KM, Nash JC, Varadhan R (2024). _minqa:
## Derivative-Free Optimization Algorithms by Quadratic Approximation_.
## doi:10.32614/CRAN.package.minqa
## <https://doi.org/10.32614/CRAN.package.minqa>, R package version
## 1.2.8, <https://CRAN.R-project.org/package=minqa>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {minqa: Derivative-Free Optimization Algorithms by Quadratic
## Approximation},
## author = {Douglas Bates and Katharine M. Mullen and John C. Nash and Ravi Varadhan},
## year = {2024},
## note = {R package version 1.2.8},
## url = {https://CRAN.R-project.org/package=minqa},
## doi = {10.32614/CRAN.package.minqa},
## }
##
## [[195]]
## To cite the 'mnormt' package in publications use:
##
## Azzalini, A. and Genz, A. (2022). The R package 'mnormt': The
## multivariate normal and 't' distributions (version 2.1.1). URL
## http://azzalini.stat.unipd.it/SW/Pkg-mnormt/
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {The {R} package \texttt{mnormt}: The multivariate normal and $t$ distributions (version 2.1.1)},
## author = {Adelchi Azzalini and Alan Genz},
## year = {2022},
## url = {http://azzalini.stat.unipd.it/SW/Pkg-mnormt/},
## }
##
## [[196]]
## To cite package 'ModelMetrics' in publications use:
##
## Hunt T (2020). _ModelMetrics: Rapid Calculation of Model Metrics_.
## doi:10.32614/CRAN.package.ModelMetrics
## <https://doi.org/10.32614/CRAN.package.ModelMetrics>, R package
## version 1.2.2.2, <https://CRAN.R-project.org/package=ModelMetrics>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ModelMetrics: Rapid Calculation of Model Metrics},
## author = {Tyler Hunt},
## year = {2020},
## note = {R package version 1.2.2.2},
## url = {https://CRAN.R-project.org/package=ModelMetrics},
## doi = {10.32614/CRAN.package.ModelMetrics},
## }
##
## [[197]]
## To cite package 'modelr' in publications use:
##
## Wickham H (2023). _modelr: Modelling Functions that Work with the
## Pipe_. doi:10.32614/CRAN.package.modelr
## <https://doi.org/10.32614/CRAN.package.modelr>, R package version
## 0.1.11, <https://CRAN.R-project.org/package=modelr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {modelr: Modelling Functions that Work with the Pipe},
## author = {Hadley Wickham},
## year = {2023},
## note = {R package version 0.1.11},
## url = {https://CRAN.R-project.org/package=modelr},
## doi = {10.32614/CRAN.package.modelr},
## }
##
## [[198]]
## To cite package 'moments' in publications use:
##
## Komsta L, Novomestky F (2022). _moments: Moments, Cumulants,
## Skewness, Kurtosis and Related Tests_.
## doi:10.32614/CRAN.package.moments
## <https://doi.org/10.32614/CRAN.package.moments>, R package version
## 0.14.1, <https://CRAN.R-project.org/package=moments>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {moments: Moments, Cumulants, Skewness, Kurtosis and Related Tests},
## author = {Lukasz Komsta and Frederick Novomestky},
## year = {2022},
## note = {R package version 0.14.1},
## url = {https://CRAN.R-project.org/package=moments},
## doi = {10.32614/CRAN.package.moments},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[199]]
## To cite package 'multcompView' in publications use:
##
## Graves S, Piepho H, Dorai-Raj LSwhfS (2024). _multcompView:
## Visualizations of Paired Comparisons_.
## doi:10.32614/CRAN.package.multcompView
## <https://doi.org/10.32614/CRAN.package.multcompView>, R package
## version 0.1-10, <https://CRAN.R-project.org/package=multcompView>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {multcompView: Visualizations of Paired Comparisons},
## author = {Spencer Graves and Hans-Peter Piepho and Luciano Selzer with help from Sundar Dorai-Raj},
## year = {2024},
## note = {R package version 0.1-10},
## url = {https://CRAN.R-project.org/package=multcompView},
## doi = {10.32614/CRAN.package.multcompView},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[200]]
## To cite package 'munsell' in publications use:
##
## Wickham C (2024). _munsell: Utilities for Using Munsell Colours_.
## doi:10.32614/CRAN.package.munsell
## <https://doi.org/10.32614/CRAN.package.munsell>, R package version
## 0.5.1, <https://CRAN.R-project.org/package=munsell>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {munsell: Utilities for Using Munsell Colours},
## author = {Charlotte Wickham},
## year = {2024},
## note = {R package version 0.5.1},
## url = {https://CRAN.R-project.org/package=munsell},
## doi = {10.32614/CRAN.package.munsell},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[201]]
## To cite package 'mvtnorm' in publications use:
##
## Genz A, Bretz F (2009). _Computation of Multivariate Normal and t
## Probabilities_, series Lecture Notes in Statistics. Springer-Verlag,
## Heidelberg. ISBN 978-3-642-01688-2.
##
## A BibTeX entry for LaTeX users is
##
## @Book{,
## title = {Computation of Multivariate Normal and t Probabilities},
## author = {Alan Genz and Frank Bretz},
## series = {Lecture Notes in Statistics},
## year = {2009},
## publisher = {Springer-Verlag},
## address = {Heidelberg},
## isbn = {978-3-642-01688-2},
## }
##
## [[202]]
## To cite naniar in publications use:
##
## Tierney N, Cook D (2023). "Expanding Tidy Data Principles to
## Facilitate Missing Data Exploration, Visualization and Assessment of
## Imputations." _Journal of Statistical Software_, *105*(7), 1-31.
## doi:10.18637/jss.v105.i07 <https://doi.org/10.18637/jss.v105.i07>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Expanding Tidy Data Principles to Facilitate Missing Data Exploration, Visualization and Assessment of Imputations},
## author = {Nicholas Tierney and Dianne Cook},
## journal = {Journal of Statistical Software},
## year = {2023},
## volume = {105},
## number = {7},
## pages = {1--31},
## doi = {10.18637/jss.v105.i07},
## }
##
## [[203]]
## To cite package 'neuralnet' in publications use:
##
## Fritsch S, Guenther F, Wright M (2019). _neuralnet: Training of
## Neural Networks_. doi:10.32614/CRAN.package.neuralnet
## <https://doi.org/10.32614/CRAN.package.neuralnet>, R package version
## 1.44.2, <https://CRAN.R-project.org/package=neuralnet>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {neuralnet: Training of Neural Networks},
## author = {Stefan Fritsch and Frauke Guenther and Marvin N. Wright},
## year = {2019},
## note = {R package version 1.44.2},
## url = {https://CRAN.R-project.org/package=neuralnet},
## doi = {10.32614/CRAN.package.neuralnet},
## }
##
## [[204]]
## To cite package 'nlme' in publications use:
##
## Pinheiro J, Bates D, R Core Team (2025). _nlme: Linear and Nonlinear
## Mixed Effects Models_. doi:10.32614/CRAN.package.nlme
## <https://doi.org/10.32614/CRAN.package.nlme>, R package version
## 3.1-168, <https://CRAN.R-project.org/package=nlme>.
##
## Pinheiro JC, Bates DM (2000). _Mixed-Effects Models in S and S-PLUS_.
## Springer, New York. doi:10.1007/b98882
## <https://doi.org/10.1007/b98882>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[205]]
## If you use NLopt in work that leads to a publication, we would
## appreciate it if you would kindly cite NLopt in your manuscript. Please
## cite both the NLopt library and the authors of the specific
## algorithm(s) that you employed in your work. Cite NLopt as:
##
## Johnson S (2008). _The NLopt nonlinear-optimization package_.
## <https://github.com/stevengj/nlopt>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## author = {Steven G. Johnson},
## title = {The NLopt nonlinear-optimization package},
## year = {2008},
## url = {https://github.com/stevengj/nlopt},
## }
##
## The authors and appropriate citations for the specific optimization
## algorithms in NLopt are listed in the NLopt Algorithms page.
##
## [[206]]
## To cite the nnet package in publications use:
##
## Venables, W. N. & Ripley, B. D. (2002) Modern Applied Statistics with
## S. Fourth Edition. Springer, New York. ISBN 0-387-95457-0
##
## A BibTeX entry for LaTeX users is
##
## @Book{,
## title = {Modern Applied Statistics with S},
## author = {W. N. Venables and B. D. Ripley},
## publisher = {Springer},
## edition = {Fourth},
## address = {New York},
## year = {2002},
## note = {ISBN 0-387-95457-0},
## url = {https://www.stats.ox.ac.uk/pub/MASS4/},
## }
##
## [[207]]
## To cite package 'norm' in publications use:
##
## <jls@stat.psu.edu>. PtRbAANObJLS (2023). _norm: Analysis of
## Multivariate Normal Datasets with Missing Values_.
## doi:10.32614/CRAN.package.norm
## <https://doi.org/10.32614/CRAN.package.norm>, R package version
## 1.0-11.1, <https://CRAN.R-project.org/package=norm>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {norm: Analysis of Multivariate Normal Datasets with Missing Values},
## author = {Ported to R by Alvaro A. Novo. Original by Joseph L. Schafer <jls@stat.psu.edu>.},
## year = {2023},
## note = {R package version 1.0-11.1},
## url = {https://CRAN.R-project.org/package=norm},
## doi = {10.32614/CRAN.package.norm},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[208]]
## To cite package 'nortest' in publications use:
##
## Gross J, Ligges U (2015). _nortest: Tests for Normality_.
## doi:10.32614/CRAN.package.nortest
## <https://doi.org/10.32614/CRAN.package.nortest>, R package version
## 1.0-4, <https://CRAN.R-project.org/package=nortest>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {nortest: Tests for Normality},
## author = {Juergen Gross and Uwe Ligges},
## year = {2015},
## note = {R package version 1.0-4},
## url = {https://CRAN.R-project.org/package=nortest},
## doi = {10.32614/CRAN.package.nortest},
## }
##
## [[209]]
## To cite package 'numDeriv' in publications use:
##
## Gilbert P, Varadhan R (2019). _numDeriv: Accurate Numerical
## Derivatives_. doi:10.32614/CRAN.package.numDeriv
## <https://doi.org/10.32614/CRAN.package.numDeriv>, R package version
## 2016.8-1.1, <https://CRAN.R-project.org/package=numDeriv>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {numDeriv: Accurate Numerical Derivatives},
## author = {Paul Gilbert and Ravi Varadhan},
## year = {2019},
## note = {R package version 2016.8-1.1},
## url = {https://CRAN.R-project.org/package=numDeriv},
## doi = {10.32614/CRAN.package.numDeriv},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[210]]
## To cite package 'opdisDownsampling' in publications use:
##
## Jorn Lotsch, Sebastian Malkusch, and Alfred Ultsch (2021). Optimal
## distribution-preserving downsampling of large biomedical data sets
## (opdisDownsampling). PLoS One 2021 Aug 5;16(8):e0255838.
## https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0255838.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Optimal distribution-preserving downsampling of large biomedical data sets (opdisDownsampling)},
## journal = {PLoS One},
## volume = {16},
## number = {9},
## pages = {e0255838},
## year = {2021},
## issn = {2352-9148},
## doi = {10.1371/journal.pone.0255838},
## url = {https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0255838},
## author = {Jörn Lötsch and Sebastian Malkusch and Alfred Ultsch},
## }
##
## [[211]]
## To cite package 'openssl' in publications use:
##
## Ooms J (2025). _openssl: Toolkit for Encryption, Signatures and
## Certificates Based on OpenSSL_. doi:10.32614/CRAN.package.openssl
## <https://doi.org/10.32614/CRAN.package.openssl>, R package version
## 2.3.2, <https://CRAN.R-project.org/package=openssl>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {openssl: Toolkit for Encryption, Signatures and Certificates Based on
## OpenSSL},
## author = {Jeroen Ooms},
## year = {2025},
## note = {R package version 2.3.2},
## url = {https://CRAN.R-project.org/package=openssl},
## doi = {10.32614/CRAN.package.openssl},
## }
##
## [[212]]
## To cite package 'operator.tools' in publications use:
##
## Brown C (2017). _operator.tools: Utilities for Working with R's
## Operators_. doi:10.32614/CRAN.package.operator.tools
## <https://doi.org/10.32614/CRAN.package.operator.tools>, R package
## version 1.6.3, <https://CRAN.R-project.org/package=operator.tools>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {operator.tools: Utilities for Working with R's Operators},
## author = {Christopher Brown},
## year = {2017},
## note = {R package version 1.6.3},
## url = {https://CRAN.R-project.org/package=operator.tools},
## doi = {10.32614/CRAN.package.operator.tools},
## }
##
## [[213]]
## To cite package 'packrat' in publications use:
##
## Atkins A, Allen T, Ushey K, McPherson J, Cheng J, Allaire J (2023).
## _packrat: A Dependency Management System for Projects and their R
## Package Dependencies_. doi:10.32614/CRAN.package.packrat
## <https://doi.org/10.32614/CRAN.package.packrat>, R package version
## 0.9.2, <https://CRAN.R-project.org/package=packrat>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {packrat: A Dependency Management System for Projects and their R Package
## Dependencies},
## author = {Aron Atkins and Toph Allen and Kevin Ushey and Jonathan McPherson and Joe Cheng and JJ Allaire},
## year = {2023},
## note = {R package version 0.9.2},
## url = {https://CRAN.R-project.org/package=packrat},
## doi = {10.32614/CRAN.package.packrat},
## }
##
## [[214]]
## The 'parallel' package is part of R. To cite R in publications use:
##
## R Core Team (2025). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R: A Language and Environment for Statistical Computing},
## author = {{R Core Team}},
## organization = {R Foundation for Statistical Computing},
## address = {Vienna, Austria},
## year = {2025},
## url = {https://www.R-project.org/},
## }
##
## We have invested a lot of time and effort in creating R, please cite it
## when using it for data analysis. See also 'citation("pkgname")' for
## citing R packages.
##
## [[215]]
## To cite package 'parallelly' in publications use:
##
## Bengtsson H (2025). _parallelly: Enhancing the 'parallel' Package_.
## doi:10.32614/CRAN.package.parallelly
## <https://doi.org/10.32614/CRAN.package.parallelly>, R package version
## 1.44.0, <https://CRAN.R-project.org/package=parallelly>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {parallelly: Enhancing the 'parallel' Package},
## author = {Henrik Bengtsson},
## year = {2025},
## note = {R package version 1.44.0},
## url = {https://CRAN.R-project.org/package=parallelly},
## doi = {10.32614/CRAN.package.parallelly},
## }
##
## [[216]]
## If ctree() is used additionally cite: If mob() is used additionally
## cite:
##
## Hothorn T, Zeileis A (2015). "partykit: A Modular Toolkit for
## Recursive Partytioning in R." _Journal of Machine Learning Research_,
## *16*, 3905-3909. <https://jmlr.org/papers/v16/hothorn15a.html>.
##
## Hothorn T, Hornik K, Zeileis A (2006). "Unbiased Recursive
## Partitioning: A Conditional Inference Framework." _Journal of
## Computational and Graphical Statistics_, *15*(3), 651-674.
## doi:10.1198/106186006X133933
## <https://doi.org/10.1198/106186006X133933>.
##
## Zeileis A, Hothorn T, Hornik K (2008). "Model-Based Recursive
## Partitioning." _Journal of Computational and Graphical Statistics_,
## *17*(2), 492-514. doi:10.1198/106186008X319331
## <https://doi.org/10.1198/106186008X319331>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[217]]
## To cite package 'pbapply' in publications use:
##
## Solymos P, Zawadzki Z (2023). _pbapply: Adding Progress Bar to
## '*apply' Functions_. doi:10.32614/CRAN.package.pbapply
## <https://doi.org/10.32614/CRAN.package.pbapply>, R package version
## 1.7-2, <https://CRAN.R-project.org/package=pbapply>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {pbapply: Adding Progress Bar to '*apply' Functions},
## author = {Peter Solymos and Zygmunt Zawadzki},
## year = {2023},
## note = {R package version 1.7-2},
## url = {https://CRAN.R-project.org/package=pbapply},
## doi = {10.32614/CRAN.package.pbapply},
## }
##
## [[218]]
## To cite package 'pbivnorm' in publications use:
##
## Kenkel FcbAGRcbB, package. boAA' (2015). _pbivnorm: Vectorized
## Bivariate Normal CDF_. doi:10.32614/CRAN.package.pbivnorm
## <https://doi.org/10.32614/CRAN.package.pbivnorm>, R package version
## 0.6.0, <https://CRAN.R-project.org/package=pbivnorm>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {pbivnorm: Vectorized Bivariate Normal CDF},
## author = {Fortran code by Alan Genz. R code by Brenton Kenkel and based on Adelchi Azzalini's 'mnormt' package.},
## year = {2015},
## note = {R package version 0.6.0},
## url = {https://CRAN.R-project.org/package=pbivnorm},
## doi = {10.32614/CRAN.package.pbivnorm},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[219]]
## To cite pbkrtest in publications use:
##
## Ulrich Halekoh, Søren Højsgaard (2014). A Kenward-Roger Approximation
## and Parametric Bootstrap Methods for Tests in Linear Mixed Models -
## The R Package pbkrtest. Journal of Statistical Software, 59(9), 1-30.
## URL https://www.jstatsoft.org/v59/i09/.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {A Kenward-Roger Approximation and Parametric Bootstrap Methods for Tests in Linear Mixed Models -- The {R} Package {pbkrtest}},
## author = {Ulrich Halekoh and Søren Højsgaard},
## journal = {Journal of Statistical Software},
## year = {2014},
## volume = {59},
## number = {9},
## pages = {1--30},
## url = {https://www.jstatsoft.org/v59/i09/},
## }
##
## [[220]]
## To cite package 'pbmcapply' in publications use:
##
## Kuang K, Kong Q, Napolitano F (2022). _pbmcapply: Tracking the
## Progress of Mc*pply with Progress Bar_.
## doi:10.32614/CRAN.package.pbmcapply
## <https://doi.org/10.32614/CRAN.package.pbmcapply>, R package version
## 1.5.1, <https://CRAN.R-project.org/package=pbmcapply>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {pbmcapply: Tracking the Progress of Mc*pply with Progress Bar},
## author = {Kevin Kuang and Quyu Kong and Francesco Napolitano},
## year = {2022},
## note = {R package version 1.5.1},
## url = {https://CRAN.R-project.org/package=pbmcapply},
## doi = {10.32614/CRAN.package.pbmcapply},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[221]]
## To cite package 'pheatmap' in publications use:
##
## Kolde R (2019). _pheatmap: Pretty Heatmaps_.
## doi:10.32614/CRAN.package.pheatmap
## <https://doi.org/10.32614/CRAN.package.pheatmap>, R package version
## 1.0.12, <https://CRAN.R-project.org/package=pheatmap>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {pheatmap: Pretty Heatmaps},
## author = {Raivo Kolde},
## year = {2019},
## note = {R package version 1.0.12},
## url = {https://CRAN.R-project.org/package=pheatmap},
## doi = {10.32614/CRAN.package.pheatmap},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[222]]
## To cite package 'pillar' in publications use:
##
## Müller K, Wickham H (2025). _pillar: Coloured Formatting for
## Columns_. doi:10.32614/CRAN.package.pillar
## <https://doi.org/10.32614/CRAN.package.pillar>, R package version
## 1.10.2, <https://CRAN.R-project.org/package=pillar>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {pillar: Coloured Formatting for Columns},
## author = {Kirill Müller and Hadley Wickham},
## year = {2025},
## note = {R package version 1.10.2},
## url = {https://CRAN.R-project.org/package=pillar},
## doi = {10.32614/CRAN.package.pillar},
## }
##
## [[223]]
## To cite package 'pkgconfig' in publications use:
##
## Csárdi G (2019). _pkgconfig: Private Configuration for 'R' Packages_.
## doi:10.32614/CRAN.package.pkgconfig
## <https://doi.org/10.32614/CRAN.package.pkgconfig>, R package version
## 2.0.3, <https://CRAN.R-project.org/package=pkgconfig>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {pkgconfig: Private Configuration for 'R' Packages},
## author = {Gábor Csárdi},
## year = {2019},
## note = {R package version 2.0.3},
## url = {https://CRAN.R-project.org/package=pkgconfig},
## doi = {10.32614/CRAN.package.pkgconfig},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[224]]
## To cite package 'PKI' in publications use:
##
## Urbanek S (2024). _PKI: Public Key Infrastucture for R Based on the
## X.509 Standard_. doi:10.32614/CRAN.package.PKI
## <https://doi.org/10.32614/CRAN.package.PKI>, R package version
## 0.1-14, <https://CRAN.R-project.org/package=PKI>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {PKI: Public Key Infrastucture for R Based on the X.509 Standard},
## author = {Simon Urbanek},
## year = {2024},
## note = {R package version 0.1-14},
## url = {https://CRAN.R-project.org/package=PKI},
## doi = {10.32614/CRAN.package.PKI},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[225]]
## To cite package 'plyr' in publications use:
##
## Hadley Wickham (2011). The Split-Apply-Combine Strategy for Data
## Analysis. Journal of Statistical Software, 40(1), 1-29. URL
## https://www.jstatsoft.org/v40/i01/.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {The Split-Apply-Combine Strategy for Data Analysis},
## author = {Hadley Wickham},
## journal = {Journal of Statistical Software},
## year = {2011},
## volume = {40},
## number = {1},
## pages = {1--29},
## url = {https://www.jstatsoft.org/v40/i01/},
## }
##
## [[226]]
## To cite package 'png' in publications use:
##
## Urbanek S (2022). _png: Read and write PNG images_.
## doi:10.32614/CRAN.package.png
## <https://doi.org/10.32614/CRAN.package.png>, R package version 0.1-8,
## <https://CRAN.R-project.org/package=png>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {png: Read and write PNG images},
## author = {Simon Urbanek},
## year = {2022},
## note = {R package version 0.1-8},
## url = {https://CRAN.R-project.org/package=png},
## doi = {10.32614/CRAN.package.png},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[227]]
## To cite package 'polyclip' in publications use:
##
## Johnson A, Baddeley A (2024). _polyclip: Polygon Clipping_.
## doi:10.32614/CRAN.package.polyclip
## <https://doi.org/10.32614/CRAN.package.polyclip>, R package version
## 1.10-7, <https://CRAN.R-project.org/package=polyclip>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {polyclip: Polygon Clipping},
## author = {Angus Johnson and Adrian Baddeley},
## year = {2024},
## note = {R package version 1.10-7},
## url = {https://CRAN.R-project.org/package=polyclip},
## doi = {10.32614/CRAN.package.polyclip},
## }
##
## [[228]]
## To cite in publications use:
##
## Bill Venables and Kurt Hornik and Martin Maechler (2022). polynom: A
## Collection of Functions to Implement a Class for Univariate
## Polynomial Manipulations. R package version 1.4-1.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {polynom: A Collection of Functions to Implement a Class for Univariate Polynomial Manipulations},
## author = {Bill Venables and Kurt Hornik and Martin Maechler},
## year = {2022},
## note = {R package version 1.4-1. S original by Bill Venables, packages for R by Kurt Hornik and Martin Maechler.},
## url = {https://CRAN.R-project.org/package=polynom},
## }
##
## [[229]]
## To cite package 'pracma' in publications use:
##
## Borchers H (2023). _pracma: Practical Numerical Math Functions_.
## doi:10.32614/CRAN.package.pracma
## <https://doi.org/10.32614/CRAN.package.pracma>, R package version
## 2.4.4, <https://CRAN.R-project.org/package=pracma>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {pracma: Practical Numerical Math Functions},
## author = {Hans W. Borchers},
## year = {2023},
## note = {R package version 2.4.4},
## url = {https://CRAN.R-project.org/package=pracma},
## doi = {10.32614/CRAN.package.pracma},
## }
##
## [[230]]
## To cite package 'prettyunits' in publications use:
##
## Csardi G (2023). _prettyunits: Pretty, Human Readable Formatting of
## Quantities_. doi:10.32614/CRAN.package.prettyunits
## <https://doi.org/10.32614/CRAN.package.prettyunits>, R package
## version 1.2.0, <https://CRAN.R-project.org/package=prettyunits>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {prettyunits: Pretty, Human Readable Formatting of Quantities},
## author = {Gabor Csardi},
## year = {2023},
## note = {R package version 1.2.0},
## url = {https://CRAN.R-project.org/package=prettyunits},
## doi = {10.32614/CRAN.package.prettyunits},
## }
##
## [[231]]
## If you use pROC in published research, please cite the following paper:
##
## Xavier Robin, Natacha Turck, Alexandre Hainard, Natalia Tiberti,
## Frédérique Lisacek, Jean-Charles Sanchez and Markus Müller (2011).
## pROC: an open-source package for R and S+ to analyze and compare ROC
## curves. BMC Bioinformatics, 12, p. 77. DOI: 10.1186/1471-2105-12-77
## <http://www.biomedcentral.com/1471-2105/12/77/>
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {pROC: an open-source package for R and S+ to analyze and compare ROC curves},
## author = {Xavier Robin and Natacha Turck and Alexandre Hainard and Natalia Tiberti and Frédérique Lisacek and Jean-Charles Sanchez and Markus Müller},
## year = {2011},
## journal = {BMC Bioinformatics},
## volume = {12},
## pages = {77},
## }
##
## [[232]]
## To cite package 'processx' in publications use:
##
## Csárdi G, Chang W (2025). _processx: Execute and Control System
## Processes_. doi:10.32614/CRAN.package.processx
## <https://doi.org/10.32614/CRAN.package.processx>, R package version
## 3.8.6, <https://CRAN.R-project.org/package=processx>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {processx: Execute and Control System Processes},
## author = {Gábor Csárdi and Winston Chang},
## year = {2025},
## note = {R package version 3.8.6},
## url = {https://CRAN.R-project.org/package=processx},
## doi = {10.32614/CRAN.package.processx},
## }
##
## [[233]]
## To cite package 'prodlim' in publications use:
##
## Gerds TA (2025). _prodlim: Product-Limit Estimation for Censored
## Event History Analysis_. doi:10.32614/CRAN.package.prodlim
## <https://doi.org/10.32614/CRAN.package.prodlim>, R package version
## 2025.04.28, <https://CRAN.R-project.org/package=prodlim>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {prodlim: Product-Limit Estimation for Censored Event History Analysis},
## author = {Thomas A. Gerds},
## year = {2025},
## note = {R package version 2025.04.28},
## url = {https://CRAN.R-project.org/package=prodlim},
## doi = {10.32614/CRAN.package.prodlim},
## }
##
## [[234]]
## To cite package 'progress' in publications use:
##
## Csárdi G, FitzJohn R (2023). _progress: Terminal Progress Bars_.
## doi:10.32614/CRAN.package.progress
## <https://doi.org/10.32614/CRAN.package.progress>, R package version
## 1.2.3, <https://CRAN.R-project.org/package=progress>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {progress: Terminal Progress Bars},
## author = {Gábor Csárdi and Rich FitzJohn},
## year = {2023},
## note = {R package version 1.2.3},
## url = {https://CRAN.R-project.org/package=progress},
## doi = {10.32614/CRAN.package.progress},
## }
##
## [[235]]
## To cite package 'progressr' in publications use:
##
## Bengtsson H (2024). _progressr: An Inclusive, Unifying API for
## Progress Updates_. doi:10.32614/CRAN.package.progressr
## <https://doi.org/10.32614/CRAN.package.progressr>, R package version
## 0.15.1, <https://CRAN.R-project.org/package=progressr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {progressr: An Inclusive, Unifying API for Progress Updates},
## author = {Henrik Bengtsson},
## year = {2024},
## note = {R package version 0.15.1},
## url = {https://CRAN.R-project.org/package=progressr},
## doi = {10.32614/CRAN.package.progressr},
## }
##
## [[236]]
## To cite package 'promises' in publications use:
##
## Cheng J (2024). _promises: Abstractions for Promise-Based
## Asynchronous Programming_. doi:10.32614/CRAN.package.promises
## <https://doi.org/10.32614/CRAN.package.promises>, R package version
## 1.3.2, <https://CRAN.R-project.org/package=promises>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {promises: Abstractions for Promise-Based Asynchronous Programming},
## author = {Joe Cheng},
## year = {2024},
## note = {R package version 1.3.2},
## url = {https://CRAN.R-project.org/package=promises},
## doi = {10.32614/CRAN.package.promises},
## }
##
## [[237]]
## To cite package 'proxy' in publications use:
##
## Meyer D, Buchta C (2022). _proxy: Distance and Similarity Measures_.
## doi:10.32614/CRAN.package.proxy
## <https://doi.org/10.32614/CRAN.package.proxy>, R package version
## 0.4-27, <https://CRAN.R-project.org/package=proxy>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {proxy: Distance and Similarity Measures},
## author = {David Meyer and Christian Buchta},
## year = {2022},
## note = {R package version 0.4-27},
## url = {https://CRAN.R-project.org/package=proxy},
## doi = {10.32614/CRAN.package.proxy},
## }
##
## [[238]]
## To cite package 'PRROC' in publications use:
##
## Jens Keilwagen, Ivo Grosse and Jan Grau (2014). Area under
## Precision-Recall Curves for Weighted and Unweighted Data. PLOS ONE
## (9) 3.
##
## Jan Grau, Ivo Grosse, and Jens Keilwagen (2015). PRROC: computing and
## visualizing precision-recall and receiver operating characteristic
## curves in R. Bioinformatics (31) 15, pp. 2595-2597.R package version
## 1.4.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[239]]
## To cite package 'ps' in publications use:
##
## Loden J, Daeschler D, Rodola' G, Csárdi G (2025). _ps: List, Query,
## Manipulate System Processes_. doi:10.32614/CRAN.package.ps
## <https://doi.org/10.32614/CRAN.package.ps>, R package version 1.9.1,
## <https://CRAN.R-project.org/package=ps>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ps: List, Query, Manipulate System Processes},
## author = {Jay Loden and Dave Daeschler and Giampaolo Rodola' and Gábor Csárdi},
## year = {2025},
## note = {R package version 1.9.1},
## url = {https://CRAN.R-project.org/package=ps},
## doi = {10.32614/CRAN.package.ps},
## }
##
## [[240]]
## To cite package 'psych' in publications use:
##
## William Revelle (2025). _psych: Procedures for Psychological,
## Psychometric, and Personality Research_. Northwestern University,
## Evanston, Illinois. R package version 2.5.3,
## <https://CRAN.R-project.org/package=psych>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {psych: Procedures for Psychological, Psychometric, and Personality Research},
## author = {{William Revelle}},
## organization = {Northwestern University},
## address = {Evanston, Illinois},
## year = {2025},
## note = {R package version 2.5.3},
## url = {https://CRAN.R-project.org/package=psych},
## }
##
## [[241]]
## To cite package 'purrr' in publications use:
##
## Wickham H, Henry L (2025). _purrr: Functional Programming Tools_.
## doi:10.32614/CRAN.package.purrr
## <https://doi.org/10.32614/CRAN.package.purrr>, R package version
## 1.0.4, <https://CRAN.R-project.org/package=purrr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {purrr: Functional Programming Tools},
## author = {Hadley Wickham and Lionel Henry},
## year = {2025},
## note = {R package version 1.0.4},
## url = {https://CRAN.R-project.org/package=purrr},
## doi = {10.32614/CRAN.package.purrr},
## }
##
## [[242]]
## To cite qcc in publications use:
##
## Scrucca, L. (2004). qcc: an R package for quality control charting
## and statistical process control. R News 4/1, 11-17.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {qcc: an R package for quality control charting and statistical process control},
## author = {Luca Scrucca},
## journal = {R News},
## year = {2004},
## pages = {11--17},
## volume = {4/1},
## url = {https://cran.r-project.org/doc/Rnews/},
## }
##
## [[243]]
## To cite qgraph in publications use:
##
## Sacha Epskamp, Angelique O. J. Cramer, Lourens J. Waldorp, Verena D.
## Schmittmann, Denny Borsboom (2012). qgraph: Network Visualizations of
## Relationships in Psychometric Data. Journal of Statistical Software,
## 48(4), 1-18. URL http://www.jstatsoft.org/v48/i04/.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {{qgraph}: Network Visualizations of Relationships in Psychometric Data},
## author = {Sacha Epskamp and Ang\'elique O. J. Cramer and Lourens J. Waldorp and Verena D. Schmittmann and Denny Borsboom},
## journal = {Journal of Statistical Software},
## year = {2012},
## volume = {48},
## number = {4},
## pages = {1--18},
## }
##
## [[244]]
## To cite qqconf in publications use:
##
## Weine E, McPeek MS, Abney M (2023). "Application of Equal Local
## Levels to Improve Q-Q Plot Testing Bands with R Package qqconf."
## _Journal of Statistical Software_, *106*(10), 1-31.
## doi:10.18637/jss.v106.i10 <https://doi.org/10.18637/jss.v106.i10>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Application of Equal Local Levels to Improve {Q}-{Q} Plot Testing Bands with {R} Package {qqconf}},
## author = {Eric Weine and Mary Sara McPeek and Mark Abney},
## journal = {Journal of Statistical Software},
## year = {2023},
## volume = {106},
## number = {10},
## pages = {1--31},
## doi = {10.18637/jss.v106.i10},
## }
##
## [[245]]
## To cite qqplotr in publications, please use:
##
## Almeida, Loy & Hofmann (2018). ggplot2 Compatible Quantile-Quantile
## Plots in R. The R Journal, 10(2), 248-261. URL 248--261.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {{ggplot2} Compatible Quantile-Quantile Plots in R},
## author = {Alexandre Almeida and Adam Loy and Heike Hofmann},
## journal = {The R Journal},
## url = {https://doi.org/10.32614/RJ-2018-051},
## year = {2018},
## pages = {248--261},
## volume = {10},
## number = {2},
## }
##
## [[246]]
## To cite package 'quadprog' in publications use:
##
## dpodi/LINPACK) SobBATRpbAW<FcfCM (2019). _quadprog: Functions to
## Solve Quadratic Programming Problems_.
## doi:10.32614/CRAN.package.quadprog
## <https://doi.org/10.32614/CRAN.package.quadprog>, R package version
## 1.5-8, <https://CRAN.R-project.org/package=quadprog>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {quadprog: Functions to Solve Quadratic Programming Problems},
## author = {S original by Berwin A. Turlach R port by Andreas Weingessel <Andreas.Weingessel@ci.tuwien.ac.at> Fortran contributions from Cleve Moler dpodi/LINPACK)},
## year = {2019},
## note = {R package version 1.5-8},
## url = {https://CRAN.R-project.org/package=quadprog},
## doi = {10.32614/CRAN.package.quadprog},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[247]]
## To cite package 'quantmod' in publications use:
##
## Ryan JA, Ulrich JM (2025). _quantmod: Quantitative Financial
## Modelling Framework_. doi:10.32614/CRAN.package.quantmod
## <https://doi.org/10.32614/CRAN.package.quantmod>, R package version
## 0.4.27, <https://CRAN.R-project.org/package=quantmod>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {quantmod: Quantitative Financial Modelling Framework},
## author = {Jeffrey A. Ryan and Joshua M. Ulrich},
## year = {2025},
## note = {R package version 0.4.27},
## url = {https://CRAN.R-project.org/package=quantmod},
## doi = {10.32614/CRAN.package.quantmod},
## }
##
## [[248]]
## To cite package 'quantreg' in publications use:
##
## Koenker R (2025). _quantreg: Quantile Regression_.
## doi:10.32614/CRAN.package.quantreg
## <https://doi.org/10.32614/CRAN.package.quantreg>, R package version
## 6.1, <https://CRAN.R-project.org/package=quantreg>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {quantreg: Quantile Regression},
## author = {Roger Koenker},
## year = {2025},
## note = {R package version 6.1},
## url = {https://CRAN.R-project.org/package=quantreg},
## doi = {10.32614/CRAN.package.quantreg},
## }
##
## [[249]]
## To cite package 'R6' in publications use:
##
## Chang W (2025). _R6: Encapsulated Classes with Reference Semantics_.
## doi:10.32614/CRAN.package.R6
## <https://doi.org/10.32614/CRAN.package.R6>, R package version 2.6.1,
## <https://CRAN.R-project.org/package=R6>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R6: Encapsulated Classes with Reference Semantics},
## author = {Winston Chang},
## year = {2025},
## note = {R package version 2.6.1},
## url = {https://CRAN.R-project.org/package=R6},
## doi = {10.32614/CRAN.package.R6},
## }
##
## [[250]]
## To cite package 'ragg' in publications use:
##
## Pedersen T, Shemanarev M (2025). _ragg: Graphic Devices Based on
## AGG_. doi:10.32614/CRAN.package.ragg
## <https://doi.org/10.32614/CRAN.package.ragg>, R package version
## 1.4.0, <https://CRAN.R-project.org/package=ragg>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ragg: Graphic Devices Based on AGG},
## author = {Thomas Lin Pedersen and Maxim Shemanarev},
## year = {2025},
## note = {R package version 1.4.0},
## url = {https://CRAN.R-project.org/package=ragg},
## doi = {10.32614/CRAN.package.ragg},
## }
##
## [[251]]
## To cite package 'rappdirs' in publications use:
##
## Ratnakumar S, Mick T, Davis T (2021). _rappdirs: Application
## Directories: Determine Where to Save Data, Caches, and Logs_.
## doi:10.32614/CRAN.package.rappdirs
## <https://doi.org/10.32614/CRAN.package.rappdirs>, R package version
## 0.3.3, <https://CRAN.R-project.org/package=rappdirs>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {rappdirs: Application Directories: Determine Where to Save Data, Caches,
## and Logs},
## author = {Sridhar Ratnakumar and Trent Mick and Trevor Davis},
## year = {2021},
## note = {R package version 0.3.3},
## url = {https://CRAN.R-project.org/package=rappdirs},
## doi = {10.32614/CRAN.package.rappdirs},
## }
##
## [[252]]
## To cite package 'raster' in publications use:
##
## Hijmans R (2025). _raster: Geographic Data Analysis and Modeling_.
## doi:10.32614/CRAN.package.raster
## <https://doi.org/10.32614/CRAN.package.raster>, R package version
## 3.6-32, <https://CRAN.R-project.org/package=raster>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {raster: Geographic Data Analysis and Modeling},
## author = {Robert J. Hijmans},
## year = {2025},
## note = {R package version 3.6-32},
## url = {https://CRAN.R-project.org/package=raster},
## doi = {10.32614/CRAN.package.raster},
## }
##
## [[253]]
## To cite package 'rbibutils' in publications use:
##
## Boshnakov GN, Putman C (2024). _rbibutils: Read 'Bibtex' Files and
## Convert Between Bibliography Formats_.
## doi:10.32614/CRAN.package.rbibutils
## <https://doi.org/10.32614/CRAN.package.rbibutils>, R package version
## 2.3, <https://CRAN.R-project.org/package=rbibutils>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {rbibutils: Read 'Bibtex' Files and Convert Between Bibliography Formats},
## author = {Georgi N. Boshnakov and Chris Putman},
## year = {2024},
## note = {R package version 2.3},
## url = {https://CRAN.R-project.org/package=rbibutils},
## doi = {10.32614/CRAN.package.rbibutils},
## }
##
## [[254]]
## To cite package 'RColorBrewer' in publications use:
##
## Neuwirth E (2022). _RColorBrewer: ColorBrewer Palettes_.
## doi:10.32614/CRAN.package.RColorBrewer
## <https://doi.org/10.32614/CRAN.package.RColorBrewer>, R package
## version 1.1-3, <https://CRAN.R-project.org/package=RColorBrewer>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {RColorBrewer: ColorBrewer Palettes},
## author = {Erich Neuwirth},
## year = {2022},
## note = {R package version 1.1-3},
## url = {https://CRAN.R-project.org/package=RColorBrewer},
## doi = {10.32614/CRAN.package.RColorBrewer},
## }
##
## [[255]]
## To cite package 'Rcpp' in publications use:
##
## Eddelbuettel D, Francois R, Allaire J, Ushey K, Kou Q, Russell N,
## Ucar I, Bates D, Chambers J (2025). _Rcpp: Seamless R and C++
## Integration_. doi:10.32614/CRAN.package.Rcpp
## <https://doi.org/10.32614/CRAN.package.Rcpp>, R package version
## 1.0.14, <https://CRAN.R-project.org/package=Rcpp>.
##
## Eddelbuettel D, François R (2011). "Rcpp: Seamless R and C++
## Integration." _Journal of Statistical Software_, *40*(8), 1-18.
## doi:10.18637/jss.v040.i08 <https://doi.org/10.18637/jss.v040.i08>.
##
## Eddelbuettel D (2013). _Seamless R and C++ Integration with Rcpp_.
## Springer, New York. doi:10.1007/978-1-4614-6868-4
## <https://doi.org/10.1007/978-1-4614-6868-4>, ISBN 978-1-4614-6867-7.
##
## Eddelbuettel D, Balamuta J (2018). "Extending R with C++: A Brief
## Introduction to Rcpp." _The American Statistician_, *72*(1), 28-36.
## doi:10.1080/00031305.2017.1375990
## <https://doi.org/10.1080/00031305.2017.1375990>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[256]]
## To cite package 'RcppArmadillo' in publications use:
##
## Eddelbuettel D, Sanderson C (2014). "RcppArmadillo: Accelerating R
## with high-performance C++ linear algebra." _Computational Statistics
## and Data Analysis_, *71*, 1054-1063. doi:10.1016/j.csda.2013.02.005
## <https://doi.org/10.1016/j.csda.2013.02.005>.
##
## Eddelbuettel D, Francois R, Bates D, Ni B, Sanderson C (2025).
## _RcppArmadillo: 'Rcpp' Integration for the 'Armadillo' Templated
## Linear Algebra Library_. doi:10.32614/CRAN.package.RcppArmadillo
## <https://doi.org/10.32614/CRAN.package.RcppArmadillo>, R package
## version 14.4.1-1, <https://CRAN.R-project.org/package=RcppArmadillo>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[257]]
## To cite package 'RcppEigen' in publications use:
##
## Bates D, Eddelbuettel D (2013). "Fast and Elegant Numerical Linear
## Algebra Using the RcppEigen Package." _Journal of Statistical
## Software_, *52*(5), 1-24. doi:10.18637/jss.v052.i05
## <https://doi.org/10.18637/jss.v052.i05>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Fast and Elegant Numerical Linear Algebra Using the {RcppEigen} Package},
## author = {Douglas Bates and Dirk Eddelbuettel},
## journal = {Journal of Statistical Software},
## year = {2013},
## volume = {52},
## number = {5},
## pages = {1--24},
## doi = {10.18637/jss.v052.i05},
## }
##
## [[258]]
## To cite package 'RcppParallel' in publications use:
##
## Allaire J, Francois R, Ushey K, Vandenbrouck G, Geelnard M, Intel
## (2025). _RcppParallel: Parallel Programming Tools for 'Rcpp'_.
## doi:10.32614/CRAN.package.RcppParallel
## <https://doi.org/10.32614/CRAN.package.RcppParallel>, R package
## version 5.1.10, <https://CRAN.R-project.org/package=RcppParallel>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {RcppParallel: Parallel Programming Tools for 'Rcpp'},
## author = {JJ Allaire and Romain Francois and Kevin Ushey and Gregory Vandenbrouck and Marcus Geelnard and {Intel}},
## year = {2025},
## note = {R package version 5.1.10},
## url = {https://CRAN.R-project.org/package=RcppParallel},
## doi = {10.32614/CRAN.package.RcppParallel},
## }
##
## [[259]]
## To cite package 'RcppTOML' in publications use:
##
## Eddelbuettel D, Gillard M (2025). _RcppTOML: 'Rcpp' Bindings to
## Parser for "Tom's Obvious Markup Language"_.
## doi:10.32614/CRAN.package.RcppTOML
## <https://doi.org/10.32614/CRAN.package.RcppTOML>, R package version
## 0.2.3, <https://CRAN.R-project.org/package=RcppTOML>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {RcppTOML: 'Rcpp' Bindings to Parser for "Tom's Obvious Markup Language"},
## author = {Dirk Eddelbuettel and Mark Gillard},
## year = {2025},
## note = {R package version 0.2.3},
## url = {https://CRAN.R-project.org/package=RcppTOML},
## doi = {10.32614/CRAN.package.RcppTOML},
## }
##
## [[260]]
## To cite package 'Rdpack' in publications use:
##
## Boshnakov GN (2025). _Rdpack: Update and Manipulate Rd Documentation
## Objects_. doi:10.32614/CRAN.package.Rdpack
## <https://doi.org/10.32614/CRAN.package.Rdpack>, R package version
## 2.6.4, <https://CRAN.R-project.org/package=Rdpack>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {Rdpack: Update and Manipulate Rd Documentation Objects},
## author = {Georgi N. Boshnakov},
## year = {2025},
## note = {R package version 2.6.4},
## url = {https://CRAN.R-project.org/package=Rdpack},
## doi = {10.32614/CRAN.package.Rdpack},
## }
##
## [[261]]
## To cite package 'readr' in publications use:
##
## Wickham H, Hester J, Bryan J (2024). _readr: Read Rectangular Text
## Data_. doi:10.32614/CRAN.package.readr
## <https://doi.org/10.32614/CRAN.package.readr>, R package version
## 2.1.5, <https://CRAN.R-project.org/package=readr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {readr: Read Rectangular Text Data},
## author = {Hadley Wickham and Jim Hester and Jennifer Bryan},
## year = {2024},
## note = {R package version 2.1.5},
## url = {https://CRAN.R-project.org/package=readr},
## doi = {10.32614/CRAN.package.readr},
## }
##
## [[262]]
## To cite package 'readxl' in publications use:
##
## Wickham H, Bryan J (2025). _readxl: Read Excel Files_.
## doi:10.32614/CRAN.package.readxl
## <https://doi.org/10.32614/CRAN.package.readxl>, R package version
## 1.4.5, <https://CRAN.R-project.org/package=readxl>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {readxl: Read Excel Files},
## author = {Hadley Wickham and Jennifer Bryan},
## year = {2025},
## note = {R package version 1.4.5},
## url = {https://CRAN.R-project.org/package=readxl},
## doi = {10.32614/CRAN.package.readxl},
## }
##
## [[263]]
## To cite package 'recipes' in publications use:
##
## Kuhn M, Wickham H, Hvitfeldt E (2025). _recipes: Preprocessing and
## Feature Engineering Steps for Modeling_.
## doi:10.32614/CRAN.package.recipes
## <https://doi.org/10.32614/CRAN.package.recipes>, R package version
## 1.3.0, <https://CRAN.R-project.org/package=recipes>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {recipes: Preprocessing and Feature Engineering Steps for Modeling},
## author = {Max Kuhn and Hadley Wickham and Emil Hvitfeldt},
## year = {2025},
## note = {R package version 1.3.0},
## url = {https://CRAN.R-project.org/package=recipes},
## doi = {10.32614/CRAN.package.recipes},
## }
##
## [[264]]
## To cite package 'reformulas' in publications use:
##
## Bolker B (2024). _reformulas: Machinery for Processing Random Effect
## Formulas_. doi:10.32614/CRAN.package.reformulas
## <https://doi.org/10.32614/CRAN.package.reformulas>, R package version
## 0.4.0, <https://CRAN.R-project.org/package=reformulas>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {reformulas: Machinery for Processing Random Effect Formulas},
## author = {Ben Bolker},
## year = {2024},
## note = {R package version 0.4.0},
## url = {https://CRAN.R-project.org/package=reformulas},
## doi = {10.32614/CRAN.package.reformulas},
## }
##
## [[265]]
## To cite package 'rematch' in publications use:
##
## Csardi G (2023). _rematch: Match Regular Expressions with a Nicer
## 'API'_. doi:10.32614/CRAN.package.rematch
## <https://doi.org/10.32614/CRAN.package.rematch>, R package version
## 2.0.0, <https://CRAN.R-project.org/package=rematch>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {rematch: Match Regular Expressions with a Nicer 'API'},
## author = {Gabor Csardi},
## year = {2023},
## note = {R package version 2.0.0},
## url = {https://CRAN.R-project.org/package=rematch},
## doi = {10.32614/CRAN.package.rematch},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[266]]
## To cite package 'rematch2' in publications use:
##
## Csárdi G (2020). _rematch2: Tidy Output from Regular Expression
## Matching_. doi:10.32614/CRAN.package.rematch2
## <https://doi.org/10.32614/CRAN.package.rematch2>, R package version
## 2.1.2, <https://CRAN.R-project.org/package=rematch2>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {rematch2: Tidy Output from Regular Expression Matching},
## author = {Gábor Csárdi},
## year = {2020},
## note = {R package version 2.1.2},
## url = {https://CRAN.R-project.org/package=rematch2},
## doi = {10.32614/CRAN.package.rematch2},
## }
##
## [[267]]
## To cite package 'remotes' in publications use:
##
## Csárdi G, Hester J, Wickham H, Chang W, Morgan M, Tenenbaum D (2024).
## _remotes: R Package Installation from Remote Repositories, Including
## 'GitHub'_. doi:10.32614/CRAN.package.remotes
## <https://doi.org/10.32614/CRAN.package.remotes>, R package version
## 2.5.0, <https://CRAN.R-project.org/package=remotes>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {remotes: R Package Installation from Remote Repositories, Including
## 'GitHub'},
## author = {Gábor Csárdi and Jim Hester and Hadley Wickham and Winston Chang and Martin Morgan and Dan Tenenbaum},
## year = {2024},
## note = {R package version 2.5.0},
## url = {https://CRAN.R-project.org/package=remotes},
## doi = {10.32614/CRAN.package.remotes},
## }
##
## [[268]]
## To cite package 'renv' in publications use:
##
## Ushey K, Wickham H (2025). _renv: Project Environments_.
## doi:10.32614/CRAN.package.renv
## <https://doi.org/10.32614/CRAN.package.renv>, R package version
## 1.1.4, <https://CRAN.R-project.org/package=renv>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {renv: Project Environments},
## author = {Kevin Ushey and Hadley Wickham},
## year = {2025},
## note = {R package version 1.1.4},
## url = {https://CRAN.R-project.org/package=renv},
## doi = {10.32614/CRAN.package.renv},
## }
##
## [[269]]
## To cite package 'reprex' in publications use:
##
## Bryan J, Hester J, Robinson D, Wickham H, Dervieux C (2024). _reprex:
## Prepare Reproducible Example Code via the Clipboard_.
## doi:10.32614/CRAN.package.reprex
## <https://doi.org/10.32614/CRAN.package.reprex>, R package version
## 2.1.1, <https://CRAN.R-project.org/package=reprex>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {reprex: Prepare Reproducible Example Code via the Clipboard},
## author = {Jennifer Bryan and Jim Hester and David Robinson and Hadley Wickham and Christophe Dervieux},
## year = {2024},
## note = {R package version 2.1.1},
## url = {https://CRAN.R-project.org/package=reprex},
## doi = {10.32614/CRAN.package.reprex},
## }
##
## [[270]]
## To cite reshape2 in publications use:
##
## Hadley Wickham (2007). Reshaping Data with the reshape Package.
## Journal of Statistical Software, 21(12), 1-20. URL
## http://www.jstatsoft.org/v21/i12/.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Reshaping Data with the {reshape} Package},
## author = {Hadley Wickham},
## journal = {Journal of Statistical Software},
## year = {2007},
## volume = {21},
## number = {12},
## pages = {1--20},
## url = {http://www.jstatsoft.org/v21/i12/},
## }
##
## [[271]]
## To cite package 'ResourceSelection' in publications use:
##
## Lele SR, Keim JL, Solymos P (2023). _ResourceSelection: Resource
## Selection (Probability) Functions for Use-Availability Data_.
## doi:10.32614/CRAN.package.ResourceSelection
## <https://doi.org/10.32614/CRAN.package.ResourceSelection>, R package
## version 0.3-6,
## <https://CRAN.R-project.org/package=ResourceSelection>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {ResourceSelection: Resource Selection (Probability) Functions for Use-Availability
## Data},
## author = {Subhash R. Lele and Jonah L. Keim and Peter Solymos},
## year = {2023},
## note = {R package version 0.3-6},
## url = {https://CRAN.R-project.org/package=ResourceSelection},
## doi = {10.32614/CRAN.package.ResourceSelection},
## }
##
## [[272]]
## To cite package 'reticulate' in publications use:
##
## Ushey K, Allaire J, Tang Y (2025). _reticulate: Interface to
## 'Python'_. doi:10.32614/CRAN.package.reticulate
## <https://doi.org/10.32614/CRAN.package.reticulate>, R package version
## 1.42.0, <https://CRAN.R-project.org/package=reticulate>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {reticulate: Interface to 'Python'},
## author = {Kevin Ushey and JJ Allaire and Yuan Tang},
## year = {2025},
## note = {R package version 1.42.0},
## url = {https://CRAN.R-project.org/package=reticulate},
## doi = {10.32614/CRAN.package.reticulate},
## }
##
## [[273]]
## To cite package 'rlang' in publications use:
##
## Henry L, Wickham H (2025). _rlang: Functions for Base Types and Core
## R and 'Tidyverse' Features_. doi:10.32614/CRAN.package.rlang
## <https://doi.org/10.32614/CRAN.package.rlang>, R package version
## 1.1.6, <https://CRAN.R-project.org/package=rlang>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {rlang: Functions for Base Types and Core R and 'Tidyverse' Features},
## author = {Lionel Henry and Hadley Wickham},
## year = {2025},
## note = {R package version 1.1.6},
## url = {https://CRAN.R-project.org/package=rlang},
## doi = {10.32614/CRAN.package.rlang},
## }
##
## [[274]]
## To cite package 'rmarkdown' in publications use:
##
## Allaire J, Xie Y, Dervieux C, McPherson J, Luraschi J, Ushey K,
## Atkins A, Wickham H, Cheng J, Chang W, Iannone R (2024). _rmarkdown:
## Dynamic Documents for R_. R package version 2.29,
## <https://github.com/rstudio/rmarkdown>.
##
## Xie Y, Allaire J, Grolemund G (2018). _R Markdown: The Definitive
## Guide_. Chapman and Hall/CRC, Boca Raton, Florida. ISBN
## 9781138359338, <https://bookdown.org/yihui/rmarkdown>.
##
## Xie Y, Dervieux C, Riederer E (2020). _R Markdown Cookbook_. Chapman
## and Hall/CRC, Boca Raton, Florida. ISBN 9780367563837,
## <https://bookdown.org/yihui/rmarkdown-cookbook>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[275]]
## To cite package 'Rmisc' in publications use:
##
## Hope RM (2022). _Rmisc: Ryan Miscellaneous_.
## doi:10.32614/CRAN.package.Rmisc
## <https://doi.org/10.32614/CRAN.package.Rmisc>, R package version
## 1.5.1, <https://CRAN.R-project.org/package=Rmisc>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {Rmisc: Ryan Miscellaneous},
## author = {Ryan M. Hope},
## year = {2022},
## note = {R package version 1.5.1},
## url = {https://CRAN.R-project.org/package=Rmisc},
## doi = {10.32614/CRAN.package.Rmisc},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[276]]
## To cite robustbase in publications use:
##
## To cite package 'robustbase' in publications use:
##
## Martin Maechler, Peter Rousseeuw, Christophe Croux, Valentin Todorov,
## Andreas Ruckstuhl, Matias Salibian-Barrera, Tobias Verbeke, Manuel
## Koller, c("Eduardo", "L. T.") Conceicao and Maria Anna di Palma
## (2024). robustbase: Basic Robust Statistics R package version
## 0.99-4-1. URL http://CRAN.R-project.org/package=robustbase
##
## To cite the multivariate class/methods framework use:
##
## Valentin Todorov, Peter Filzmoser (2009). An Object-Oriented
## Framework for Robust Multivariate Analysis. Journal of Statistical
## Software, 32(3), 1-47. URL
## https://www.jstatsoft.org/article/view/v032i03/.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[277]]
## To cite package 'rootSolve' in publications use:
##
## Soetaert K. and P.M.J. Herman (2009). A Practical Guide to
## Ecological Modelling. Using R as a Simulation Platform. Springer,
## 372 pp.
##
## Soetaert K. (2009). rootSolve: Nonlinear root finding, equilibrium
## and steady-state analysis of ordinary differential equations.
## R-package version 1.6
##
## rootSolve was created to solve the examples from chapter 7 of our book
## - please cite this book when using it, thank you!
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[278]]
## To cite package 'rpart' in publications use:
##
## Therneau T, Atkinson B (2025). _rpart: Recursive Partitioning and
## Regression Trees_. doi:10.32614/CRAN.package.rpart
## <https://doi.org/10.32614/CRAN.package.rpart>, R package version
## 4.1.24, <https://CRAN.R-project.org/package=rpart>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {rpart: Recursive Partitioning and Regression Trees},
## author = {Terry Therneau and Beth Atkinson},
## year = {2025},
## note = {R package version 4.1.24},
## url = {https://CRAN.R-project.org/package=rpart},
## doi = {10.32614/CRAN.package.rpart},
## }
##
## [[279]]
## To cite package 'rpart.plot' in publications use:
##
## Milborrow S (2024). _rpart.plot: Plot 'rpart' Models: An Enhanced
## Version of 'plot.rpart'_. doi:10.32614/CRAN.package.rpart.plot
## <https://doi.org/10.32614/CRAN.package.rpart.plot>, R package version
## 3.1.2, <https://CRAN.R-project.org/package=rpart.plot>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {rpart.plot: Plot 'rpart' Models: An Enhanced Version of 'plot.rpart'},
## author = {Stephen Milborrow},
## year = {2024},
## note = {R package version 3.1.2},
## url = {https://CRAN.R-project.org/package=rpart.plot},
## doi = {10.32614/CRAN.package.rpart.plot},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[280]]
## To cite package 'rprojroot' in publications use:
##
## Müller K (2023). _rprojroot: Finding Files in Project
## Subdirectories_. doi:10.32614/CRAN.package.rprojroot
## <https://doi.org/10.32614/CRAN.package.rprojroot>, R package version
## 2.0.4, <https://CRAN.R-project.org/package=rprojroot>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {rprojroot: Finding Files in Project Subdirectories},
## author = {Kirill Müller},
## year = {2023},
## note = {R package version 2.0.4},
## url = {https://CRAN.R-project.org/package=rprojroot},
## doi = {10.32614/CRAN.package.rprojroot},
## }
##
## [[281]]
## To cite package 'rsconnect' in publications use:
##
## Atkins A, Allen T, Wickham H, McPherson J, Allaire J (2025).
## _rsconnect: Deploy Docs, Apps, and APIs to 'Posit Connect',
## 'shinyapps.io', and 'RPubs'_. doi:10.32614/CRAN.package.rsconnect
## <https://doi.org/10.32614/CRAN.package.rsconnect>, R package version
## 1.3.4, <https://CRAN.R-project.org/package=rsconnect>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {rsconnect: Deploy Docs, Apps, and APIs to 'Posit Connect', 'shinyapps.io',
## and 'RPubs'},
## author = {Aron Atkins and Toph Allen and Hadley Wickham and Jonathan McPherson and JJ Allaire},
## year = {2025},
## note = {R package version 1.3.4},
## url = {https://CRAN.R-project.org/package=rsconnect},
## doi = {10.32614/CRAN.package.rsconnect},
## }
##
## [[282]]
## To cite package 'rstatix' in publications use:
##
## Kassambara A (2023). _rstatix: Pipe-Friendly Framework for Basic
## Statistical Tests_. doi:10.32614/CRAN.package.rstatix
## <https://doi.org/10.32614/CRAN.package.rstatix>, R package version
## 0.7.2, <https://CRAN.R-project.org/package=rstatix>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {rstatix: Pipe-Friendly Framework for Basic Statistical Tests},
## author = {Alboukadel Kassambara},
## year = {2023},
## note = {R package version 0.7.2},
## url = {https://CRAN.R-project.org/package=rstatix},
## doi = {10.32614/CRAN.package.rstatix},
## }
##
## [[283]]
## To cite package 'rstudioapi' in publications use:
##
## Ushey K, Allaire J, Wickham H, Ritchie G (2024). _rstudioapi: Safely
## Access the RStudio API_. doi:10.32614/CRAN.package.rstudioapi
## <https://doi.org/10.32614/CRAN.package.rstudioapi>, R package version
## 0.17.1, <https://CRAN.R-project.org/package=rstudioapi>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {rstudioapi: Safely Access the RStudio API},
## author = {Kevin Ushey and JJ Allaire and Hadley Wickham and Gary Ritchie},
## year = {2024},
## note = {R package version 0.17.1},
## url = {https://CRAN.R-project.org/package=rstudioapi},
## doi = {10.32614/CRAN.package.rstudioapi},
## }
##
## [[284]]
## To cite package 'rvest' in publications use:
##
## Wickham H (2024). _rvest: Easily Harvest (Scrape) Web Pages_.
## doi:10.32614/CRAN.package.rvest
## <https://doi.org/10.32614/CRAN.package.rvest>, R package version
## 1.0.4, <https://CRAN.R-project.org/package=rvest>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {rvest: Easily Harvest (Scrape) Web Pages},
## author = {Hadley Wickham},
## year = {2024},
## note = {R package version 1.0.4},
## url = {https://CRAN.R-project.org/package=rvest},
## doi = {10.32614/CRAN.package.rvest},
## }
##
## [[285]]
## To cite the 'Ryacas' package in publications use:
##
## Andersen MM, Højsgaard S (2019). Ryacas: A computer algebra system in
## R. Journal of Open Source Software, 4(42), 1763, URL
## https://doi.org/10.21105/joss.01763
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {{Ryacas: A computer algebra system in R}},
## author = {Mikkel Meyer Andersen and Søren Højsgaard},
## journal = {Journal of Open Source Software},
## year = {2019},
## volume = {4},
## number = {42},
## url = {https://doi.org/10.21105/joss.01763},
## }
##
## [[286]]
## To cite package 's2' in publications use:
##
## Dunnington D, Pebesma E, Rubak E (2025). _s2: Spherical Geometry
## Operators Using the S2 Geometry Library_.
## doi:10.32614/CRAN.package.s2
## <https://doi.org/10.32614/CRAN.package.s2>, R package version 1.1.8,
## <https://CRAN.R-project.org/package=s2>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {s2: Spherical Geometry Operators Using the S2 Geometry Library},
## author = {Dewey Dunnington and Edzer Pebesma and Ege Rubak},
## year = {2025},
## note = {R package version 1.1.8},
## url = {https://CRAN.R-project.org/package=s2},
## doi = {10.32614/CRAN.package.s2},
## }
##
## [[287]]
## To cite package 'sass' in publications use:
##
## Cheng J, Mastny T, Iannone R, Schloerke B, Sievert C (2025). _sass:
## Syntactically Awesome Style Sheets ('Sass')_.
## doi:10.32614/CRAN.package.sass
## <https://doi.org/10.32614/CRAN.package.sass>, R package version
## 0.4.10, <https://CRAN.R-project.org/package=sass>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {sass: Syntactically Awesome Style Sheets ('Sass')},
## author = {Joe Cheng and Timothy Mastny and Richard Iannone and Barret Schloerke and Carson Sievert},
## year = {2025},
## note = {R package version 0.4.10},
## url = {https://CRAN.R-project.org/package=sass},
## doi = {10.32614/CRAN.package.sass},
## }
##
## [[288]]
## To cite package 'scales' in publications use:
##
## Wickham H, Pedersen T, Seidel D (2025). _scales: Scale Functions for
## Visualization_. doi:10.32614/CRAN.package.scales
## <https://doi.org/10.32614/CRAN.package.scales>, R package version
## 1.4.0, <https://CRAN.R-project.org/package=scales>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {scales: Scale Functions for Visualization},
## author = {Hadley Wickham and Thomas Lin Pedersen and Dana Seidel},
## year = {2025},
## note = {R package version 1.4.0},
## url = {https://CRAN.R-project.org/package=scales},
## doi = {10.32614/CRAN.package.scales},
## }
##
## [[289]]
## To cite scatterplot3d in publications use:
##
## Ligges, U. and Mächler, M. (2003). Scatterplot3d - an R Package for
## Visualizing Multivariate Data. Journal of Statistical Software 8(11),
## 1-20.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Scatterplot3d - an R Package for Visualizing Multivariate Data},
## author = {Uwe Ligges and Martin M{\"a}chler},
## journal = {Journal of Statistical Software},
## year = {2003},
## pages = {1--20},
## number = {11},
## volume = {8},
## doi = {10.18637/jss.v008.i11},
## }
##
## [[290]]
## To cite package 'selectr' in publications use:
##
## Potter S (2012). "Introducing the selectr Package." The University of
## Auckland, Auckland, New Zealand.
## <http://stattech.wordpress.fos.auckland.ac.nz/2012-10-introducing-the-selectr-package/>.
##
## A BibTeX entry for LaTeX users is
##
## @TechReport{,
## title = {Introducing the selectr Package},
## author = {Simon Potter},
## institution = {The University of Auckland},
## address = {Auckland, New Zealand},
## year = {2012},
## url = {http://stattech.wordpress.fos.auckland.ac.nz/2012-10-introducing-the-selectr-package/},
## }
##
## [[291]]
## To cite package sf in publications, please use:
##
## Pebesma, E., & Bivand, R. (2023). Spatial Data Science: With
## Applications in R. Chapman and Hall/CRC.
## https://doi.org/10.1201/9780429459016
##
## Pebesma, E., 2018. Simple Features for R: Standardized Support for
## Spatial Vector Data. The R Journal 10 (1), 439-446,
## https://doi.org/10.32614/RJ-2018-009
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[292]]
## To cite package 'shape' in publications use:
##
## Soetaert K (2024). _shape: Functions for Plotting Graphical Shapes,
## Colors_. doi:10.32614/CRAN.package.shape
## <https://doi.org/10.32614/CRAN.package.shape>, R package version
## 1.4.6.1, <https://CRAN.R-project.org/package=shape>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {shape: Functions for Plotting Graphical Shapes, Colors},
## author = {Karline Soetaert},
## year = {2024},
## note = {R package version 1.4.6.1},
## url = {https://CRAN.R-project.org/package=shape},
## doi = {10.32614/CRAN.package.shape},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[293]]
## To cite package 'shiny' in publications use:
##
## Chang W, Cheng J, Allaire J, Sievert C, Schloerke B, Xie Y, Allen J,
## McPherson J, Dipert A, Borges B (2024). _shiny: Web Application
## Framework for R_. doi:10.32614/CRAN.package.shiny
## <https://doi.org/10.32614/CRAN.package.shiny>, R package version
## 1.10.0, <https://CRAN.R-project.org/package=shiny>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {shiny: Web Application Framework for R},
## author = {Winston Chang and Joe Cheng and JJ Allaire and Carson Sievert and Barret Schloerke and Yihui Xie and Jeff Allen and Jonathan McPherson and Alan Dipert and Barbara Borges},
## year = {2024},
## note = {R package version 1.10.0},
## url = {https://CRAN.R-project.org/package=shiny},
## doi = {10.32614/CRAN.package.shiny},
## }
##
## [[294]]
## To cite package 'slider' in publications use:
##
## Vaughan D (2024). _slider: Sliding Window Functions_.
## doi:10.32614/CRAN.package.slider
## <https://doi.org/10.32614/CRAN.package.slider>, R package version
## 0.3.2, <https://CRAN.R-project.org/package=slider>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {slider: Sliding Window Functions},
## author = {Davis Vaughan},
## year = {2024},
## note = {R package version 0.3.2},
## url = {https://CRAN.R-project.org/package=slider},
## doi = {10.32614/CRAN.package.slider},
## }
##
## [[295]]
## To cite package 'smotefamily' in publications use:
##
## Siriseriwan W (2024). _smotefamily: A Collection of Oversampling
## Techniques for Class Imbalance Problem Based on SMOTE_.
## doi:10.32614/CRAN.package.smotefamily
## <https://doi.org/10.32614/CRAN.package.smotefamily>, R package
## version 1.4.0, <https://CRAN.R-project.org/package=smotefamily>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {smotefamily: A Collection of Oversampling Techniques for Class Imbalance
## Problem Based on SMOTE},
## author = {Wacharasak Siriseriwan},
## year = {2024},
## note = {R package version 1.4.0},
## url = {https://CRAN.R-project.org/package=smotefamily},
## doi = {10.32614/CRAN.package.smotefamily},
## }
##
## [[296]]
## To cite package 'sourcetools' in publications use:
##
## Ushey K (2023). _sourcetools: Tools for Reading, Tokenizing and
## Parsing R Code_. doi:10.32614/CRAN.package.sourcetools
## <https://doi.org/10.32614/CRAN.package.sourcetools>, R package
## version 0.1.7-1, <https://CRAN.R-project.org/package=sourcetools>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {sourcetools: Tools for Reading, Tokenizing and Parsing R Code},
## author = {Kevin Ushey},
## year = {2023},
## note = {R package version 0.1.7-1},
## url = {https://CRAN.R-project.org/package=sourcetools},
## doi = {10.32614/CRAN.package.sourcetools},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[297]]
## To cite package sp in publications use:
##
## Pebesma E, Bivand R (2005). "Classes and methods for spatial data in
## R." _R News_, *5*(2), 9-13. <https://CRAN.R-project.org/doc/Rnews/>.
##
## Bivand R, Pebesma E, Gomez-Rubio V (2013). _Applied spatial data
## analysis with R, Second edition_. Springer, NY.
## <https://asdar-book.org/>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[298]]
## To cite package 'SparseM' in publications use:
##
## Koenker R (2024). _SparseM: Sparse Linear Algebra_.
## doi:10.32614/CRAN.package.SparseM
## <https://doi.org/10.32614/CRAN.package.SparseM>, R package version
## 1.84-2, <https://CRAN.R-project.org/package=SparseM>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {SparseM: Sparse Linear Algebra},
## author = {Roger Koenker},
## year = {2024},
## note = {R package version 1.84-2},
## url = {https://CRAN.R-project.org/package=SparseM},
## doi = {10.32614/CRAN.package.SparseM},
## }
##
## [[299]]
## To cite package 'sparsevctrs' in publications use:
##
## Hvitfeldt E (2025). _sparsevctrs: Sparse Vectors for Use in Data
## Frames_. doi:10.32614/CRAN.package.sparsevctrs
## <https://doi.org/10.32614/CRAN.package.sparsevctrs>, R package
## version 0.3.3, <https://CRAN.R-project.org/package=sparsevctrs>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {sparsevctrs: Sparse Vectors for Use in Data Frames},
## author = {Emil Hvitfeldt},
## year = {2025},
## note = {R package version 0.3.3},
## url = {https://CRAN.R-project.org/package=sparsevctrs},
## doi = {10.32614/CRAN.package.sparsevctrs},
## }
##
## [[300]]
## To cite the spatial package in publications use:
##
## Venables, W. N. & Ripley, B. D. (2002) Modern Applied Statistics with
## S. Fourth Edition. Springer, New York. ISBN 0-387-95457-0
##
## A BibTeX entry for LaTeX users is
##
## @Book{,
## title = {Modern Applied Statistics with S},
## author = {W. N. Venables and B. D. Ripley},
## publisher = {Springer},
## edition = {Fourth},
## address = {New York},
## year = {2002},
## note = {ISBN 0-387-95457-0},
## url = {https://www.stats.ox.ac.uk/pub/MASS4/},
## }
##
## [[301]]
## The 'splines' package is part of R. To cite R in publications use:
##
## R Core Team (2025). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R: A Language and Environment for Statistical Computing},
## author = {{R Core Team}},
## organization = {R Foundation for Statistical Computing},
## address = {Vienna, Austria},
## year = {2025},
## url = {https://www.R-project.org/},
## }
##
## We have invested a lot of time and effort in creating R, please cite it
## when using it for data analysis. See also 'citation("pkgname")' for
## citing R packages.
##
## [[302]]
## To cite SQUAREM in publications use:
##
## Du Y, Varadhan R (2020). "SQUAREM: An R Package for Off-the-Shelf
## Acceleration of EM, MM and Other EM-Like Monotone Algorithms."
## _Journal of Statistical Software_, *92*(7), 1-41.
## doi:10.18637/jss.v092.i07 <https://doi.org/10.18637/jss.v092.i07>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {{SQUAREM}: An {R} Package for Off-the-Shelf Acceleration of {EM}, {MM} and Other {EM}-Like Monotone Algorithms},
## author = {Yu Du and Ravi Varadhan},
## journal = {Journal of Statistical Software},
## year = {2020},
## volume = {92},
## number = {7},
## pages = {1--41},
## doi = {10.18637/jss.v092.i07},
## }
##
## [[303]]
## Please cite stargazer in publications as:
##
## Hlavac, Marek (2022). stargazer: Well-Formatted Regression and
## Summary Statistics Tables. R package version 5.2.3.
## https://CRAN.R-project.org/package=stargazer
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {stargazer: Well-Formatted Regression and Summary Statistics Tables},
## author = {Marek Hlavac},
## year = {2022},
## note = {R package version 5.2.3},
## organization = {Social Policy Institute},
## address = {Bratislava, Slovakia},
## url = {https://CRAN.R-project.org/package=stargazer},
## }
##
## [[304]]
## The 'stats' package is part of R. To cite R in publications use:
##
## R Core Team (2025). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R: A Language and Environment for Statistical Computing},
## author = {{R Core Team}},
## organization = {R Foundation for Statistical Computing},
## address = {Vienna, Austria},
## year = {2025},
## url = {https://www.R-project.org/},
## }
##
## We have invested a lot of time and effort in creating R, please cite it
## when using it for data analysis. See also 'citation("pkgname")' for
## citing R packages.
##
## [[305]]
## The 'stats4' package is part of R. To cite R in publications use:
##
## R Core Team (2025). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R: A Language and Environment for Statistical Computing},
## author = {{R Core Team}},
## organization = {R Foundation for Statistical Computing},
## address = {Vienna, Austria},
## year = {2025},
## url = {https://www.R-project.org/},
## }
##
## We have invested a lot of time and effort in creating R, please cite it
## when using it for data analysis. See also 'citation("pkgname")' for
## citing R packages.
##
## [[306]]
## To cite stringi in publications, use:
##
## Gagolewski M (2022). "stringi: Fast and portable character string
## processing in R." _Journal of Statistical Software_, *103*(2), 1-59.
## doi:10.18637/jss.v103.i02 <https://doi.org/10.18637/jss.v103.i02>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {{stringi}: {F}ast and portable character string processing in {R}},
## author = {Marek Gagolewski},
## journal = {Journal of Statistical Software},
## year = {2022},
## volume = {103},
## number = {2},
## pages = {1--59},
## doi = {10.18637/jss.v103.i02},
## }
##
## [[307]]
## To cite package 'stringr' in publications use:
##
## Wickham H (2023). _stringr: Simple, Consistent Wrappers for Common
## String Operations_. doi:10.32614/CRAN.package.stringr
## <https://doi.org/10.32614/CRAN.package.stringr>, R package version
## 1.5.1, <https://CRAN.R-project.org/package=stringr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {stringr: Simple, Consistent Wrappers for Common String Operations},
## author = {Hadley Wickham},
## year = {2023},
## note = {R package version 1.5.1},
## url = {https://CRAN.R-project.org/package=stringr},
## doi = {10.32614/CRAN.package.stringr},
## }
##
## [[308]]
## To cite package 'survival' in publications use:
##
## Therneau T (2024). _A Package for Survival Analysis in R_. R package
## version 3.8-3, <https://CRAN.R-project.org/package=survival>.
##
## Terry M. Therneau, Patricia M. Grambsch (2000). _Modeling Survival
## Data: Extending the Cox Model_. Springer, New York. ISBN
## 0-387-98784-3.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[309]]
## To cite package 'svglite' in publications use:
##
## Wickham H, Henry L, Pedersen T, Luciani T, Decorde M, Lise V (2023).
## _svglite: An 'SVG' Graphics Device_.
## doi:10.32614/CRAN.package.svglite
## <https://doi.org/10.32614/CRAN.package.svglite>, R package version
## 2.1.3, <https://CRAN.R-project.org/package=svglite>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {svglite: An 'SVG' Graphics Device},
## author = {Hadley Wickham and Lionel Henry and Thomas Lin Pedersen and T Jake Luciani and Matthieu Decorde and Vaudor Lise},
## year = {2023},
## note = {R package version 2.1.3},
## url = {https://CRAN.R-project.org/package=svglite},
## doi = {10.32614/CRAN.package.svglite},
## }
##
## [[310]]
## To cite package 'sys' in publications use:
##
## Ooms J (2024). _sys: Powerful and Reliable Tools for Running System
## Commands in R_. doi:10.32614/CRAN.package.sys
## <https://doi.org/10.32614/CRAN.package.sys>, R package version 3.4.3,
## <https://CRAN.R-project.org/package=sys>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {sys: Powerful and Reliable Tools for Running System Commands in R},
## author = {Jeroen Ooms},
## year = {2024},
## note = {R package version 3.4.3},
## url = {https://CRAN.R-project.org/package=sys},
## doi = {10.32614/CRAN.package.sys},
## }
##
## [[311]]
## To cite package 'systemfonts' in publications use:
##
## Pedersen T, Ooms J, Govett D (2025). _systemfonts: System Native Font
## Finding_. doi:10.32614/CRAN.package.systemfonts
## <https://doi.org/10.32614/CRAN.package.systemfonts>, R package
## version 1.2.2, <https://CRAN.R-project.org/package=systemfonts>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {systemfonts: System Native Font Finding},
## author = {Thomas Lin Pedersen and Jeroen Ooms and Devon Govett},
## year = {2025},
## note = {R package version 1.2.2},
## url = {https://CRAN.R-project.org/package=systemfonts},
## doi = {10.32614/CRAN.package.systemfonts},
## }
##
## [[312]]
## The 'tcltk' package is part of R. To cite R in publications use:
##
## R Core Team (2025). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R: A Language and Environment for Statistical Computing},
## author = {{R Core Team}},
## organization = {R Foundation for Statistical Computing},
## address = {Vienna, Austria},
## year = {2025},
## url = {https://www.R-project.org/},
## }
##
## We have invested a lot of time and effort in creating R, please cite it
## when using it for data analysis. See also 'citation("pkgname")' for
## citing R packages.
##
## [[313]]
## To cite package 'terra' in publications use:
##
## Hijmans R (2025). _terra: Spatial Data Analysis_.
## doi:10.32614/CRAN.package.terra
## <https://doi.org/10.32614/CRAN.package.terra>, R package version
## 1.8-42, <https://CRAN.R-project.org/package=terra>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {terra: Spatial Data Analysis},
## author = {Robert J. Hijmans},
## year = {2025},
## note = {R package version 1.8-42},
## url = {https://CRAN.R-project.org/package=terra},
## doi = {10.32614/CRAN.package.terra},
## }
##
## [[314]]
## To cite package 'textshaping' in publications use:
##
## Pedersen T (2025). _textshaping: Bindings to the 'HarfBuzz' and
## 'Fribidi' Libraries for Text Shaping_.
## doi:10.32614/CRAN.package.textshaping
## <https://doi.org/10.32614/CRAN.package.textshaping>, R package
## version 1.0.0, <https://CRAN.R-project.org/package=textshaping>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {textshaping: Bindings to the 'HarfBuzz' and 'Fribidi' Libraries for Text
## Shaping},
## author = {Thomas Lin Pedersen},
## year = {2025},
## note = {R package version 1.0.0},
## url = {https://CRAN.R-project.org/package=textshaping},
## doi = {10.32614/CRAN.package.textshaping},
## }
##
## [[315]]
## To cite package 'tibble' in publications use:
##
## Müller K, Wickham H (2023). _tibble: Simple Data Frames_.
## doi:10.32614/CRAN.package.tibble
## <https://doi.org/10.32614/CRAN.package.tibble>, R package version
## 3.2.1, <https://CRAN.R-project.org/package=tibble>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {tibble: Simple Data Frames},
## author = {Kirill Müller and Hadley Wickham},
## year = {2023},
## note = {R package version 3.2.1},
## url = {https://CRAN.R-project.org/package=tibble},
## doi = {10.32614/CRAN.package.tibble},
## }
##
## [[316]]
## To cite package 'tidygraph' in publications use:
##
## Pedersen T (2024). _tidygraph: A Tidy API for Graph Manipulation_.
## doi:10.32614/CRAN.package.tidygraph
## <https://doi.org/10.32614/CRAN.package.tidygraph>, R package version
## 1.3.1, <https://CRAN.R-project.org/package=tidygraph>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {tidygraph: A Tidy API for Graph Manipulation},
## author = {Thomas Lin Pedersen},
## year = {2024},
## note = {R package version 1.3.1},
## url = {https://CRAN.R-project.org/package=tidygraph},
## doi = {10.32614/CRAN.package.tidygraph},
## }
##
## [[317]]
## To cite package 'tidyr' in publications use:
##
## Wickham H, Vaughan D, Girlich M (2024). _tidyr: Tidy Messy Data_.
## doi:10.32614/CRAN.package.tidyr
## <https://doi.org/10.32614/CRAN.package.tidyr>, R package version
## 1.3.1, <https://CRAN.R-project.org/package=tidyr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {tidyr: Tidy Messy Data},
## author = {Hadley Wickham and Davis Vaughan and Maximilian Girlich},
## year = {2024},
## note = {R package version 1.3.1},
## url = {https://CRAN.R-project.org/package=tidyr},
## doi = {10.32614/CRAN.package.tidyr},
## }
##
## [[318]]
## To cite package 'tidyselect' in publications use:
##
## Henry L, Wickham H (2024). _tidyselect: Select from a Set of
## Strings_. doi:10.32614/CRAN.package.tidyselect
## <https://doi.org/10.32614/CRAN.package.tidyselect>, R package version
## 1.2.1, <https://CRAN.R-project.org/package=tidyselect>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {tidyselect: Select from a Set of Strings},
## author = {Lionel Henry and Hadley Wickham},
## year = {2024},
## note = {R package version 1.2.1},
## url = {https://CRAN.R-project.org/package=tidyselect},
## doi = {10.32614/CRAN.package.tidyselect},
## }
##
## [[319]]
## To cite package 'tidyverse' in publications use:
##
## Wickham H, Averick M, Bryan J, Chang W, McGowan LD, François R,
## Grolemund G, Hayes A, Henry L, Hester J, Kuhn M, Pedersen TL, Miller
## E, Bache SM, Müller K, Ooms J, Robinson D, Seidel DP, Spinu V,
## Takahashi K, Vaughan D, Wilke C, Woo K, Yutani H (2019). "Welcome to
## the tidyverse." _Journal of Open Source Software_, *4*(43), 1686.
## doi:10.21105/joss.01686 <https://doi.org/10.21105/joss.01686>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Welcome to the {tidyverse}},
## author = {Hadley Wickham and Mara Averick and Jennifer Bryan and Winston Chang and Lucy D'Agostino McGowan and Romain François and Garrett Grolemund and Alex Hayes and Lionel Henry and Jim Hester and Max Kuhn and Thomas Lin Pedersen and Evan Miller and Stephan Milton Bache and Kirill Müller and Jeroen Ooms and David Robinson and Dana Paige Seidel and Vitalie Spinu and Kohske Takahashi and Davis Vaughan and Claus Wilke and Kara Woo and Hiroaki Yutani},
## year = {2019},
## journal = {Journal of Open Source Software},
## volume = {4},
## number = {43},
## pages = {1686},
## doi = {10.21105/joss.01686},
## }
##
## [[320]]
## To cite package 'timechange' in publications use:
##
## Spinu V (2024). _timechange: Efficient Manipulation of Date-Times_.
## doi:10.32614/CRAN.package.timechange
## <https://doi.org/10.32614/CRAN.package.timechange>, R package version
## 0.3.0, <https://CRAN.R-project.org/package=timechange>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {timechange: Efficient Manipulation of Date-Times},
## author = {Vitalie Spinu},
## year = {2024},
## note = {R package version 0.3.0},
## url = {https://CRAN.R-project.org/package=timechange},
## doi = {10.32614/CRAN.package.timechange},
## }
##
## [[321]]
## To cite package 'timeDate' in publications use:
##
## Wuertz D, Setz T, Chalabi Y, Boshnakov GN (2024). _timeDate: Rmetrics
## - Chronological and Calendar Objects_.
## doi:10.32614/CRAN.package.timeDate
## <https://doi.org/10.32614/CRAN.package.timeDate>, R package version
## 4041.110, <https://CRAN.R-project.org/package=timeDate>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {timeDate: Rmetrics - Chronological and Calendar Objects},
## author = {Diethelm Wuertz and Tobias Setz and Yohan Chalabi and Georgi N. Boshnakov},
## year = {2024},
## note = {R package version 4041.110},
## url = {https://CRAN.R-project.org/package=timeDate},
## doi = {10.32614/CRAN.package.timeDate},
## }
##
## [[322]]
## To cite package 'tinytex' in publications use:
##
## Xie Y (2025). _tinytex: Helper Functions to Install and Maintain TeX
## Live, and Compile LaTeX Documents_. R package version 0.57,
## <https://github.com/rstudio/tinytex>.
##
## Xie Y (2019). "TinyTeX: A lightweight, cross-platform, and
## easy-to-maintain LaTeX distribution based on TeX Live." _TUGboat_,
## *40*(1), 30-32. <https://tug.org/TUGboat/Contents/contents40-1.html>.
##
## To see these entries in BibTeX format, use 'print(<citation>,
## bibtex=TRUE)', 'toBibtex(.)', or set
## 'options(citation.bibtex.max=999)'.
##
## [[323]]
## The 'tools' package is part of R. To cite R in publications use:
##
## R Core Team (2025). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R: A Language and Environment for Statistical Computing},
## author = {{R Core Team}},
## organization = {R Foundation for Statistical Computing},
## address = {Vienna, Austria},
## year = {2025},
## url = {https://www.R-project.org/},
## }
##
## We have invested a lot of time and effort in creating R, please cite it
## when using it for data analysis. See also 'citation("pkgname")' for
## citing R packages.
##
## [[324]]
## To cite package 'translations' in publications use:
##
## Team RC, worldwide c (????). _translations: The R Translations
## Package_. R package version 4.5.0.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {translations: The R Translations Package},
## author = {R Core Team and contributors worldwide},
## note = {R package version 4.5.0},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[325]]
## To cite package 'tseries' in publications use:
##
## Trapletti A, Hornik K (2024). _tseries: Time Series Analysis and
## Computational Finance_. doi:10.32614/CRAN.package.tseries
## <https://doi.org/10.32614/CRAN.package.tseries>, R package version
## 0.10-58, <https://CRAN.R-project.org/package=tseries>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {tseries: Time Series Analysis and Computational Finance},
## author = {Adrian Trapletti and Kurt Hornik},
## year = {2024},
## note = {R package version 0.10-58},
## url = {https://CRAN.R-project.org/package=tseries},
## doi = {10.32614/CRAN.package.tseries},
## }
##
## [[326]]
## To cite tsibble in publications, please use:
##
## Wang, E, D Cook, and RJ Hyndman (2020). A new tidy data structure to
## support exploration and modeling of temporal data, Journal of
## Computational and Graphical Statistics, 29:3, 466-478,
## doi:10.1080/10618600.2019.1695624.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## author = {Earo Wang and Dianne Cook and Rob J Hyndman},
## title = {A new tidy data structure to support exploration and modeling of temporal data},
## journal = {Journal of Computational and Graphical Statistics},
## volume = {29},
## number = {3},
## pages = {466-478},
## year = {2020},
## publisher = {Taylor & Francis},
## doi = {10.1080/10618600.2019.1695624},
## url = {https://doi.org/10.1080/10618600.2019.1695624},
## }
##
## [[327]]
## To cite package 'tsibbledata' in publications use:
##
## O'Hara-Wild M, Hyndman R, Wang E, Godahewa R (2022). _tsibbledata:
## Diverse Datasets for 'tsibble'_.
## doi:10.32614/CRAN.package.tsibbledata
## <https://doi.org/10.32614/CRAN.package.tsibbledata>, R package
## version 0.4.1, <https://CRAN.R-project.org/package=tsibbledata>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {tsibbledata: Diverse Datasets for 'tsibble'},
## author = {Mitchell O'Hara-Wild and Rob Hyndman and Earo Wang and Rakshitha Godahewa},
## year = {2022},
## note = {R package version 0.4.1},
## url = {https://CRAN.R-project.org/package=tsibbledata},
## doi = {10.32614/CRAN.package.tsibbledata},
## }
##
## [[328]]
## To cite package 'TTR' in publications use:
##
## Ulrich J (2023). _TTR: Technical Trading Rules_.
## doi:10.32614/CRAN.package.TTR
## <https://doi.org/10.32614/CRAN.package.TTR>, R package version
## 0.24.4, <https://CRAN.R-project.org/package=TTR>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {TTR: Technical Trading Rules},
## author = {Joshua Ulrich},
## year = {2023},
## note = {R package version 0.24.4},
## url = {https://CRAN.R-project.org/package=TTR},
## doi = {10.32614/CRAN.package.TTR},
## }
##
## [[329]]
## To cite package 'tweenr' in publications use:
##
## Pedersen T (2024). _tweenr: Interpolate Data for Smooth Animations_.
## doi:10.32614/CRAN.package.tweenr
## <https://doi.org/10.32614/CRAN.package.tweenr>, R package version
## 2.0.3, <https://CRAN.R-project.org/package=tweenr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {tweenr: Interpolate Data for Smooth Animations},
## author = {Thomas Lin Pedersen},
## year = {2024},
## note = {R package version 2.0.3},
## url = {https://CRAN.R-project.org/package=tweenr},
## doi = {10.32614/CRAN.package.tweenr},
## }
##
## [[330]]
## To cite package 'twosamples' in publications use:
##
## Dowd C (2023). _twosamples: Fast Permutation Based Two Sample Tests_.
## doi:10.32614/CRAN.package.twosamples
## <https://doi.org/10.32614/CRAN.package.twosamples>, R package version
## 2.0.1, <https://CRAN.R-project.org/package=twosamples>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {twosamples: Fast Permutation Based Two Sample Tests},
## author = {Connor Dowd},
## year = {2023},
## note = {R package version 2.0.1},
## url = {https://CRAN.R-project.org/package=twosamples},
## doi = {10.32614/CRAN.package.twosamples},
## }
##
## [[331]]
## To cite package 'tzdb' in publications use:
##
## Vaughan D (2025). _tzdb: Time Zone Database Information_.
## doi:10.32614/CRAN.package.tzdb
## <https://doi.org/10.32614/CRAN.package.tzdb>, R package version
## 0.5.0, <https://CRAN.R-project.org/package=tzdb>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {tzdb: Time Zone Database Information},
## author = {Davis Vaughan},
## year = {2025},
## note = {R package version 0.5.0},
## url = {https://CRAN.R-project.org/package=tzdb},
## doi = {10.32614/CRAN.package.tzdb},
## }
##
## [[332]]
## To cite 'units' in publications use:
##
## Pebesma E, Mailund T, Hiebert J (2016). "Measurement Units in R." _R
## Journal_, *8*(2), 486-494. doi:10.32614/RJ-2016-061
## <https://doi.org/10.32614/RJ-2016-061>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {Measurement Units in {R}},
## author = {Edzer Pebesma and Thomas Mailund and James Hiebert},
## year = {2016},
## journal = {R Journal},
## doi = {10.32614/RJ-2016-061},
## pages = {486--494},
## volume = {8},
## number = {2},
## }
##
## [[333]]
## To cite package 'UpSetR' in publications use:
##
## Gehlenborg N (2019). _UpSetR: A More Scalable Alternative to Venn and
## Euler Diagrams for Visualizing Intersecting Sets_.
## doi:10.32614/CRAN.package.UpSetR
## <https://doi.org/10.32614/CRAN.package.UpSetR>, R package version
## 1.4.0, <https://CRAN.R-project.org/package=UpSetR>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {UpSetR: A More Scalable Alternative to Venn and Euler Diagrams for
## Visualizing Intersecting Sets},
## author = {Nils Gehlenborg},
## year = {2019},
## note = {R package version 1.4.0},
## url = {https://CRAN.R-project.org/package=UpSetR},
## doi = {10.32614/CRAN.package.UpSetR},
## }
##
## [[334]]
## To cite package 'urca' in publications use:
##
## Pfaff, B. (2008) Analysis of Integrated and Cointegrated Time Series
## with R. Second Edition. Springer, New York. ISBN 0-387-27960-1
##
## A BibTeX entry for LaTeX users is
##
## @Book{,
## title = {Analysis of Integrated and Cointegrated Time Series with R},
## author = {B. Pfaff},
## publisher = {Springer},
## edition = {Second},
## address = {New York},
## year = {2008},
## note = {ISBN 0-387-27960-1},
## url = {https://www.pfaffikus.de},
## }
##
## [[335]]
## To cite package 'UsingR' in publications use:
##
## Verzani J (2022). _UsingR: Data Sets, Etc. for the Text "Using R for
## Introductory Statistics", Second Edition_.
## doi:10.32614/CRAN.package.UsingR
## <https://doi.org/10.32614/CRAN.package.UsingR>, R package version
## 2.0-7, <https://CRAN.R-project.org/package=UsingR>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {UsingR: Data Sets, Etc. for the Text "Using R for Introductory
## Statistics", Second Edition},
## author = {John Verzani},
## year = {2022},
## note = {R package version 2.0-7},
## url = {https://CRAN.R-project.org/package=UsingR},
## doi = {10.32614/CRAN.package.UsingR},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[336]]
## To cite package 'utf8' in publications use:
##
## Perry PO (2025). _utf8: Unicode Text Processing_.
## doi:10.32614/CRAN.package.utf8
## <https://doi.org/10.32614/CRAN.package.utf8>, R package version
## 1.2.5, <https://CRAN.R-project.org/package=utf8>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {utf8: Unicode Text Processing},
## author = {Patrick O. Perry},
## year = {2025},
## note = {R package version 1.2.5},
## url = {https://CRAN.R-project.org/package=utf8},
## doi = {10.32614/CRAN.package.utf8},
## }
##
## [[337]]
## The 'utils' package is part of R. To cite R in publications use:
##
## R Core Team (2025). _R: A Language and Environment for Statistical
## Computing_. R Foundation for Statistical Computing, Vienna, Austria.
## <https://www.R-project.org/>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {R: A Language and Environment for Statistical Computing},
## author = {{R Core Team}},
## organization = {R Foundation for Statistical Computing},
## address = {Vienna, Austria},
## year = {2025},
## url = {https://www.R-project.org/},
## }
##
## We have invested a lot of time and effort in creating R, please cite it
## when using it for data analysis. See also 'citation("pkgname")' for
## citing R packages.
##
## [[338]]
## To cite package 'uuid' in publications use:
##
## Urbanek S, Ts'o T (2024). _uuid: Tools for Generating and Handling of
## UUIDs_. doi:10.32614/CRAN.package.uuid
## <https://doi.org/10.32614/CRAN.package.uuid>, R package version
## 1.2-1, <https://CRAN.R-project.org/package=uuid>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {uuid: Tools for Generating and Handling of UUIDs},
## author = {Simon Urbanek and Theodore Ts'o},
## year = {2024},
## note = {R package version 1.2-1},
## url = {https://CRAN.R-project.org/package=uuid},
## doi = {10.32614/CRAN.package.uuid},
## }
##
## [[339]]
## To cite package 'vctrs' in publications use:
##
## Wickham H, Henry L, Vaughan D (2023). _vctrs: Vector Helpers_.
## doi:10.32614/CRAN.package.vctrs
## <https://doi.org/10.32614/CRAN.package.vctrs>, R package version
## 0.6.5, <https://CRAN.R-project.org/package=vctrs>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {vctrs: Vector Helpers},
## author = {Hadley Wickham and Lionel Henry and Davis Vaughan},
## year = {2023},
## note = {R package version 0.6.5},
## url = {https://CRAN.R-project.org/package=vctrs},
## doi = {10.32614/CRAN.package.vctrs},
## }
##
## [[340]]
## To cite viridis/viridisLite in publications use:
##
## Simon Garnier, Noam Ross, Robert Rudis, Antônio P. Camargo, Marco
## Sciaini, and Cédric Scherer (2024). viridis(Lite) -
## Colorblind-Friendly Color Maps for R. viridis package version 0.6.5.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {{viridis(Lite)} - Colorblind-Friendly Color Maps for R},
## author = {{Garnier} and {Simon} and {Ross} and {Noam} and {Rudis} and {Robert} and {Camargo} and Antônio Pedro and {Sciaini} and {Marco} and {Scherer} and {Cédric}},
## year = {2024},
## note = {viridis package version 0.6.5},
## url = {https://sjmgarnier.github.io/viridis/},
## doi = {10.5281/zenodo.4679423},
## }
##
## [[341]]
## To cite viridis/viridisLite in publications use:
##
## Simon Garnier, Noam Ross, Robert Rudis, Antônio P. Camargo, Marco
## Sciaini, and Cédric Scherer (2023). viridis(Lite) -
## Colorblind-Friendly Color Maps for R. viridisLite package version
## 0.4.2.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {{viridis(Lite)} - Colorblind-Friendly Color Maps for R},
## author = {{Garnier} and {Simon} and {Ross} and {Noam} and {Rudis} and {Robert} and {Camargo} and Antônio Pedro and {Sciaini} and {Marco} and {Scherer} and {Cédric}},
## year = {2023},
## note = {viridisLite package version 0.4.2},
## url = {https://sjmgarnier.github.io/viridis/},
## doi = {10.5281/zenodo.4678327},
## }
##
## [[342]]
## To cite package 'visdat' in publications use:
##
## Tierney N (2017). "visdat: Visualising Whole Data Frames." _JOSS_,
## *2*(16), 355. doi:10.21105/joss.00355
## <https://doi.org/10.21105/joss.00355>,
## <http://dx.doi.org/10.21105/joss.00355>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {visdat: Visualising Whole Data Frames},
## author = {Nicholas Tierney},
## doi = {10.21105/joss.00355},
## url = {http://dx.doi.org/10.21105/joss.00355},
## year = {2017},
## publisher = {Journal of Open Source Software},
## volume = {2},
## number = {16},
## pages = {355},
## journal = {JOSS},
## }
##
## [[343]]
## To cite package 'visNetwork' in publications use:
##
## Almende B.V. and Contributors, Thieurmel B (2022). _visNetwork:
## Network Visualization using 'vis.js' Library_.
## doi:10.32614/CRAN.package.visNetwork
## <https://doi.org/10.32614/CRAN.package.visNetwork>, R package version
## 2.1.2, <https://CRAN.R-project.org/package=visNetwork>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {visNetwork: Network Visualization using 'vis.js' Library},
## author = {{Almende B.V. and Contributors} and Benoit Thieurmel},
## year = {2022},
## note = {R package version 2.1.2},
## url = {https://CRAN.R-project.org/package=visNetwork},
## doi = {10.32614/CRAN.package.visNetwork},
## }
##
## [[344]]
## To cite package 'vroom' in publications use:
##
## Hester J, Wickham H, Bryan J (2023). _vroom: Read and Write
## Rectangular Text Data Quickly_. doi:10.32614/CRAN.package.vroom
## <https://doi.org/10.32614/CRAN.package.vroom>, R package version
## 1.6.5, <https://CRAN.R-project.org/package=vroom>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {vroom: Read and Write Rectangular Text Data Quickly},
## author = {Jim Hester and Hadley Wickham and Jennifer Bryan},
## year = {2023},
## note = {R package version 1.6.5},
## url = {https://CRAN.R-project.org/package=vroom},
## doi = {10.32614/CRAN.package.vroom},
## }
##
## [[345]]
## To cite package 'warp' in publications use:
##
## Vaughan D (2023). _warp: Group Dates_. doi:10.32614/CRAN.package.warp
## <https://doi.org/10.32614/CRAN.package.warp>, R package version
## 0.2.1, <https://CRAN.R-project.org/package=warp>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {warp: Group Dates},
## author = {Davis Vaughan},
## year = {2023},
## note = {R package version 0.2.1},
## url = {https://CRAN.R-project.org/package=warp},
## doi = {10.32614/CRAN.package.warp},
## }
##
## [[346]]
## To cite package 'withr' in publications use:
##
## Hester J, Henry L, Müller K, Ushey K, Wickham H, Chang W (2024).
## _withr: Run Code 'With' Temporarily Modified Global State_.
## doi:10.32614/CRAN.package.withr
## <https://doi.org/10.32614/CRAN.package.withr>, R package version
## 3.0.2, <https://CRAN.R-project.org/package=withr>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {withr: Run Code 'With' Temporarily Modified Global State},
## author = {Jim Hester and Lionel Henry and Kirill Müller and Kevin Ushey and Hadley Wickham and Winston Chang},
## year = {2024},
## note = {R package version 3.0.2},
## url = {https://CRAN.R-project.org/package=withr},
## doi = {10.32614/CRAN.package.withr},
## }
##
## [[347]]
## To cite package 'wk' in publications use:
##
## Dunnington D, Pebesma E (2024). _wk: Lightweight Well-Known Geometry
## Parsing_. doi:10.32614/CRAN.package.wk
## <https://doi.org/10.32614/CRAN.package.wk>, R package version 0.9.4,
## <https://CRAN.R-project.org/package=wk>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {wk: Lightweight Well-Known Geometry Parsing},
## author = {Dewey Dunnington and Edzer Pebesma},
## year = {2024},
## note = {R package version 0.9.4},
## url = {https://CRAN.R-project.org/package=wk},
## doi = {10.32614/CRAN.package.wk},
## }
##
## [[348]]
## To cite package 'xfun' in publications use:
##
## Xie Y (2025). _xfun: Supporting Functions for Packages Maintained by
## 'Yihui Xie'_. doi:10.32614/CRAN.package.xfun
## <https://doi.org/10.32614/CRAN.package.xfun>, R package version 0.52,
## <https://CRAN.R-project.org/package=xfun>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {xfun: Supporting Functions for Packages Maintained by 'Yihui Xie'},
## author = {Yihui Xie},
## year = {2025},
## note = {R package version 0.52},
## url = {https://CRAN.R-project.org/package=xfun},
## doi = {10.32614/CRAN.package.xfun},
## }
##
## [[349]]
## To cite package 'xml2' in publications use:
##
## Wickham H, Hester J, Ooms J (2025). _xml2: Parse XML_.
## doi:10.32614/CRAN.package.xml2
## <https://doi.org/10.32614/CRAN.package.xml2>, R package version
## 1.3.8, <https://CRAN.R-project.org/package=xml2>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {xml2: Parse XML},
## author = {Hadley Wickham and Jim Hester and Jeroen Ooms},
## year = {2025},
## note = {R package version 1.3.8},
## url = {https://CRAN.R-project.org/package=xml2},
## doi = {10.32614/CRAN.package.xml2},
## }
##
## [[350]]
## To cite package 'xtable' in publications use:
##
## Dahl D, Scott D, Roosen C, Magnusson A, Swinton J (2019). _xtable:
## Export Tables to LaTeX or HTML_. doi:10.32614/CRAN.package.xtable
## <https://doi.org/10.32614/CRAN.package.xtable>, R package version
## 1.8-4, <https://CRAN.R-project.org/package=xtable>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {xtable: Export Tables to LaTeX or HTML},
## author = {David B. Dahl and David Scott and Charles Roosen and Arni Magnusson and Jonathan Swinton},
## year = {2019},
## note = {R package version 1.8-4},
## url = {https://CRAN.R-project.org/package=xtable},
## doi = {10.32614/CRAN.package.xtable},
## }
##
## [[351]]
## To cite package 'xts' in publications use:
##
## Ryan JA, Ulrich JM (2024). _xts: eXtensible Time Series_.
## doi:10.32614/CRAN.package.xts
## <https://doi.org/10.32614/CRAN.package.xts>, R package version
## 0.14.1, <https://CRAN.R-project.org/package=xts>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {xts: eXtensible Time Series},
## author = {Jeffrey A. Ryan and Joshua M. Ulrich},
## year = {2024},
## note = {R package version 0.14.1},
## url = {https://CRAN.R-project.org/package=xts},
## doi = {10.32614/CRAN.package.xts},
## }
##
## [[352]]
## To cite package 'yaml' in publications use:
##
## Garbett SP, Stephens J, Simonov K, Xie Y, Dong Z, Wickham H, Horner
## J, reikoch, Beasley W, O'Connor B, Warnes GR, Quinn M, Kamvar ZN, Gao
## C (2024). _yaml: Methods to Convert R Data to YAML and Back_.
## doi:10.32614/CRAN.package.yaml
## <https://doi.org/10.32614/CRAN.package.yaml>, R package version
## 2.3.10, <https://CRAN.R-project.org/package=yaml>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {yaml: Methods to Convert R Data to YAML and Back},
## author = {Shawn P Garbett and Jeremy Stephens and Kirill Simonov and Yihui Xie and Zhuoer Dong and Hadley Wickham and Jeffrey Horner and {reikoch} and Will Beasley and Brendan O'Connor and Gregory R. Warnes and Michael Quinn and Zhian N. Kamvar and Charlie Gao},
## year = {2024},
## note = {R package version 2.3.10},
## url = {https://CRAN.R-project.org/package=yaml},
## doi = {10.32614/CRAN.package.yaml},
## }
##
## ATTENTION: This citation information has been auto-generated from the
## package DESCRIPTION file and may need manual editing, see
## 'help("citation")'.
##
## [[353]]
## To cite package 'yardstick' in publications use:
##
## Kuhn M, Vaughan D, Hvitfeldt E (2025). _yardstick: Tidy
## Characterizations of Model Performance_.
## doi:10.32614/CRAN.package.yardstick
## <https://doi.org/10.32614/CRAN.package.yardstick>, R package version
## 1.3.2, <https://CRAN.R-project.org/package=yardstick>.
##
## A BibTeX entry for LaTeX users is
##
## @Manual{,
## title = {yardstick: Tidy Characterizations of Model Performance},
## author = {Max Kuhn and Davis Vaughan and Emil Hvitfeldt},
## year = {2025},
## note = {R package version 1.3.2},
## url = {https://CRAN.R-project.org/package=yardstick},
## doi = {10.32614/CRAN.package.yardstick},
## }
##
## [[354]]
## To cite zoo in publications use:
##
## Zeileis A, Grothendieck G (2005). "zoo: S3 Infrastructure for Regular
## and Irregular Time Series." _Journal of Statistical Software_,
## *14*(6), 1-27. doi:10.18637/jss.v014.i06
## <https://doi.org/10.18637/jss.v014.i06>.
##
## A BibTeX entry for LaTeX users is
##
## @Article{,
## title = {zoo: S3 Infrastructure for Regular and Irregular Time Series},
## author = {Achim Zeileis and Gabor Grothendieck},
## journal = {Journal of Statistical Software},
## year = {2005},
## volume = {14},
## number = {6},
## pages = {1--27},
## doi = {10.18637/jss.v014.i06},
## }