1 Predicción de valores de Viviendas en la Ciudad de Boston

1.0.1 Descripción

Valores de las viviendas en los suburbios de Boston

El conjunto de datos Boston es un marco de datos (data frame) que contiene 506 filas y 14 columnas. Incluye variables relacionadas con las características de las viviendas, las condiciones socioeconómicas, la contaminación y la accesibilidad a los servicios en los suburbios de Boston.

Variables:

  • crim: Tasa de criminalidad per cápita por localidad.
  • zn: Proporción de terrenos residenciales destinados a lotes de más de 25 000 pies cuadrados.
  • indus: Proporción de acres destinados a negocios no minoristas por localidad.
  • chas: Variable indicadora del río Charles: toma el valor 1 si el terreno limita con el río y 0 en caso contrario.
  • nox: Concentración de óxidos de nitrógeno, expresada en partes por cada 10 millones.
  • rm: Número promedio de habitaciones por vivienda.
  • age: Proporción de unidades ocupadas por sus propietarios construidas antes de 1940.
  • dis: Media ponderada de las distancias a cinco centros de empleo de Boston.
  • rad: Índice de accesibilidad a las autopistas radiales.
  • tax: Tasa del impuesto predial calculada sobre un valor de 10 000 dólares.
  • ptratio: Proporción de estudiantes por docente en cada localidad.
  • black: Variable calculada mediante la expresión \(1000(B_k-0.63)^2\), donde \(B_k\) representa la proporción de población negra por localidad.
  • lstat: Porcentaje de población de nivel socioeconómico bajo.
  • medv: Valor mediano de las viviendas ocupadas por sus propietarios, expresado en miles de dólares.

2 1. Cargar librerías

library(MASS)
library(neuralnet)
library(ggplot2)
library(tidyverse)
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library(visdat)
library(tidyverse)
library(dplyr)
library(skimr)
library(readxl)
library(gmodels)
library(Hmisc)
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library(ggthemes)
library(GGally)
library(corrplot)
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library(PerformanceAnalytics)
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3 2. Cargar los datos

set.seed(65)
datos <- Boston
head(datos)
##      crim zn indus chas   nox    rm  age    dis rad tax ptratio  black lstat
## 1 0.00632 18  2.31    0 0.538 6.575 65.2 4.0900   1 296    15.3 396.90  4.98
## 2 0.02731  0  7.07    0 0.469 6.421 78.9 4.9671   2 242    17.8 396.90  9.14
## 3 0.02729  0  7.07    0 0.469 7.185 61.1 4.9671   2 242    17.8 392.83  4.03
## 4 0.03237  0  2.18    0 0.458 6.998 45.8 6.0622   3 222    18.7 394.63  2.94
## 5 0.06905  0  2.18    0 0.458 7.147 54.2 6.0622   3 222    18.7 396.90  5.33
## 6 0.02985  0  2.18    0 0.458 6.430 58.7 6.0622   3 222    18.7 394.12  5.21
##   medv
## 1 24.0
## 2 21.6
## 3 34.7
## 4 33.4
## 5 36.2
## 6 28.7

Interpretación: Boston contiene 506 observaciones y 14 variables: - 506 observaciones: áreas censales de los suburbios de Boston. - 13 variables predictoras: características de las áreas y sus viviendas. - 1 variable respuesta: medv, valor mediano de las viviendas ocupadas por sus propietarios, en miles de dólares.

4 3.Partición de la data

datos_completos <- datos

ids_entrenamiento <- sort(
  sample(
    seq_len(nrow(datos_completos)),
    size = floor(0.80 * nrow(datos_completos)),
    replace = FALSE
  )
)

ids_prueba <- setdiff(
  seq_len(nrow(datos_completos)),
  ids_entrenamiento
)

#data de entrenamiento
data.trn <- datos_completos[
  ids_entrenamiento, , drop = FALSE
]

#data de prueba
data.tst <- datos_completos[
  ids_prueba, , drop = FALSE
]

cat("\n================ PARTICIÓN ================\n")
## 
## ================ PARTICIÓN ================
cat("Entrenamiento:", nrow(data.trn), "observaciones\n")
## Entrenamiento: 404 observaciones
cat("Prueba:", nrow(data.tst), "observaciones\n")
## Prueba: 102 observaciones
stopifnot(
  length(intersect(ids_entrenamiento, ids_prueba)) == 0,
  nrow(data.trn) + nrow(data.tst) == nrow(datos_completos)
)

#Desde aquí se trabaja exclusivamente con entrenamiento
datos <- data.trn

#Correspondencia entre ID del análisis y fila original
referencia_ID_entrenamiento <- data.frame(
  ID = seq_len(nrow(data.trn)),
  Fila_Boston = ids_entrenamiento
)

Interpretación: Las 404 observaciones (80%) de entrenamiento se utilizan para estimar el preprocesamiento, ajustar los modelos y seleccionar sus parámetros mediante validación interna. Las 102 observaciones (20%) de prueba se reservan para evaluar la predicción de medv fuera de muestra.

5 4. Analísis descrIptivo

#Resumen de los datos
summary(datos)
##       crim                zn             indus             chas        
##  Min.   : 0.00632   Min.   :  0.00   Min.   : 0.460   Min.   :0.00000  
##  1st Qu.: 0.08135   1st Qu.:  0.00   1st Qu.: 5.175   1st Qu.:0.00000  
##  Median : 0.25635   Median :  0.00   Median : 9.900   Median :0.00000  
##  Mean   : 3.73323   Mean   : 11.42   Mean   :11.404   Mean   :0.07673  
##  3rd Qu.: 3.67481   3rd Qu.:  0.00   3rd Qu.:18.100   3rd Qu.:0.00000  
##  Max.   :88.97620   Max.   :100.00   Max.   :27.740   Max.   :1.00000  
##       nox               rm             age              dis        
##  Min.   :0.3850   Min.   :3.561   Min.   :  2.90   Min.   : 1.130  
##  1st Qu.:0.4530   1st Qu.:5.888   1st Qu.: 45.80   1st Qu.: 2.088  
##  Median :0.5380   Median :6.210   Median : 77.75   Median : 3.107  
##  Mean   :0.5567   Mean   :6.289   Mean   : 69.23   Mean   : 3.761  
##  3rd Qu.:0.6240   3rd Qu.:6.629   3rd Qu.: 94.03   3rd Qu.: 5.104  
##  Max.   :0.8710   Max.   :8.780   Max.   :100.00   Max.   :12.127  
##       rad              tax           ptratio          black       
##  Min.   : 1.000   Min.   :187.0   Min.   :12.60   Min.   :  0.32  
##  1st Qu.: 4.000   1st Qu.:284.0   1st Qu.:17.00   1st Qu.:373.48  
##  Median : 5.000   Median :346.5   Median :19.00   Median :391.06  
##  Mean   : 9.554   Mean   :413.2   Mean   :18.44   Mean   :352.47  
##  3rd Qu.:24.000   3rd Qu.:666.0   3rd Qu.:20.20   3rd Qu.:396.06  
##  Max.   :24.000   Max.   :711.0   Max.   :22.00   Max.   :396.90  
##      lstat             medv      
##  Min.   : 1.730   Min.   : 5.00  
##  1st Qu.: 6.915   1st Qu.:17.07  
##  Median :11.395   Median :21.20  
##  Mean   :12.546   Mean   :22.46  
##  3rd Qu.:16.605   3rd Qu.:25.00  
##  Max.   :37.970   Max.   :50.00
skim(datos)
Data summary
Name datos
Number of rows 404
Number of columns 14
_______________________
Column type frequency:
numeric 14
________________________
Group variables None

Variable type: numeric

skim_variable n_missing complete_rate mean sd p0 p25 p50 p75 p100 hist
crim 0 1 3.73 9.13 0.01 0.08 0.26 3.67 88.98 ▇▁▁▁▁
zn 0 1 11.42 24.14 0.00 0.00 0.00 0.00 100.00 ▇▁▁▁▁
indus 0 1 11.40 7.01 0.46 5.18 9.90 18.10 27.74 ▆▆▁▇▁
chas 0 1 0.08 0.27 0.00 0.00 0.00 0.00 1.00 ▇▁▁▁▁
nox 0 1 0.56 0.12 0.38 0.45 0.54 0.62 0.87 ▇▇▆▅▁
rm 0 1 6.29 0.69 3.56 5.89 6.21 6.63 8.78 ▁▁▇▂▁
age 0 1 69.23 27.66 2.90 45.80 77.75 94.03 100.00 ▁▂▂▃▇
dis 0 1 3.76 2.11 1.13 2.09 3.11 5.10 12.13 ▇▅▂▁▁
rad 0 1 9.55 8.74 1.00 4.00 5.00 24.00 24.00 ▇▂▁▁▃
tax 0 1 413.20 167.78 187.00 284.00 346.50 666.00 711.00 ▇▇▅▁▇
ptratio 0 1 18.44 2.17 12.60 17.00 19.00 20.20 22.00 ▁▃▅▅▇
black 0 1 352.47 97.46 0.32 373.48 391.06 396.06 396.90 ▁▁▁▁▇
lstat 0 1 12.55 7.04 1.73 6.91 11.39 16.60 37.97 ▇▇▃▂▁
medv 0 1 22.46 9.07 5.00 17.08 21.20 25.00 50.00 ▃▇▅▁▁
describe(datos)
## datos 
## 
##  14  Variables      404  Observations
## --------------------------------------------------------------------------------
## crim 
##        n  missing distinct     Info     Mean  pMedian      Gmd      .05 
##      404        0      402        1    3.733     1.19    6.025  0.02505 
##      .10      .25      .50      .75      .90      .95 
##  0.03628  0.08135  0.25635  3.67481 10.78548 15.53254 
## 
## lowest : 0.00632 0.00906 0.01096 0.01301 0.01311
## highest: 45.7461 51.1358 67.9208 73.5341 88.9762
## --------------------------------------------------------------------------------
## zn 
##        n  missing distinct     Info     Mean  pMedian      Gmd      .05 
##      404        0       26    0.574    11.42        0     19.1        0 
##      .10      .25      .50      .75      .90      .95 
##        0        0        0        0       45       80 
## 
## lowest : 0    12.5 17.5 18   20  , highest: 82.5 85   90   95   100 
## --------------------------------------------------------------------------------
## indus 
##        n  missing distinct     Info     Mean  pMedian      Gmd      .05 
##      404        0       75    0.981     11.4    11.52    7.883    2.030 
##      .10      .25      .50      .75      .90      .95 
##    2.930    5.175    9.900   18.100   19.580   21.890 
## 
## lowest : 0.46  0.74  1.21  1.22  1.25 , highest: 18.1  19.58 21.89 25.65 27.74
## --------------------------------------------------------------------------------
## chas 
##        n  missing distinct     Info      Sum     Mean 
##      404        0        2    0.213       31  0.07673 
## 
## --------------------------------------------------------------------------------
## nox 
##        n  missing distinct     Info     Mean  pMedian      Gmd      .05 
##      404        0       80        1   0.5567   0.5495   0.1312   0.4056 
##      .10      .25      .50      .75      .90      .95 
##   0.4232   0.4530   0.5380   0.6240   0.7130   0.7700 
## 
## lowest : 0.385 0.389 0.392 0.394 0.398, highest: 0.713 0.718 0.74  0.77  0.871
## --------------------------------------------------------------------------------
## rm 
##        n  missing distinct     Info     Mean  pMedian      Gmd      .05 
##      404        0      365        1    6.289    6.253   0.7395    5.345 
##      .10      .25      .50      .75      .90      .95 
##    5.603    5.888    6.210    6.629    7.144    7.515 
## 
## lowest : 3.561 3.863 4.138 4.519 4.628, highest: 8.337 8.375 8.398 8.704 8.78 
## --------------------------------------------------------------------------------
## age 
##        n  missing distinct     Info     Mean  pMedian      Gmd      .05 
##      404        0      291    0.999    69.23    70.15    30.89    17.95 
##      .10      .25      .50      .75      .90      .95 
##    28.52    45.80    77.75    94.03    98.40   100.00 
## 
## lowest : 2.9  6    6.2  6.6  6.8 , highest: 98.5 98.8 98.9 99.3 100 
## --------------------------------------------------------------------------------
## dis 
##        n  missing distinct     Info     Mean  pMedian      Gmd      .05 
##      404        0      342        1    3.761    3.539    2.286    1.502 
##      .10      .25      .50      .75      .90      .95 
##    1.651    2.088    3.107    5.104    6.817    7.828 
## 
## lowest : 1.1296  1.137   1.1691  1.1742  1.2024 
## highest: 9.2203  9.2229  10.5857 10.7103 12.1265
## --------------------------------------------------------------------------------
## rad 
##        n  missing distinct     Info     Mean  pMedian      Gmd 
##      404        0        9    0.959    9.554        6    8.568 
##                                                                 
## Value          1     2     3     4     5     6     7     8    24
## Frequency     17    23    27    84    95    22    11    19   106
## Proportion 0.042 0.057 0.067 0.208 0.235 0.054 0.027 0.047 0.262
## --------------------------------------------------------------------------------
## tax 
##        n  missing distinct     Info     Mean  pMedian      Gmd      .05 
##      404        0       65    0.981    413.2      403    181.9    222.2 
##      .10      .25      .50      .75      .90      .95 
##    242.0    284.0    346.5    666.0    666.0    666.0 
## 
## lowest : 187 188 193 198 216, highest: 432 437 469 666 711
## --------------------------------------------------------------------------------
## ptratio 
##        n  missing distinct     Info     Mean  pMedian      Gmd      .05 
##      404        0       46    0.977    18.44     18.6    2.393     14.7 
##      .10      .25      .50      .75      .90      .95 
##     14.7     17.0     19.0     20.2     20.9     21.0 
## 
## lowest : 12.6 13   13.6 14.4 14.7, highest: 20.9 21   21.1 21.2 22  
## --------------------------------------------------------------------------------
## black 
##        n  missing distinct     Info     Mean  pMedian      Gmd      .05 
##      404        0      293    0.988    352.5    385.4    71.91    61.95 
##      .10      .25      .50      .75      .90      .95 
##   252.40   373.48   391.06   396.06   396.90   396.90 
## 
## lowest : 0.32   2.52   2.6    3.5    3.65  , highest: 396.24 396.3  396.33 396.42 396.9 
## --------------------------------------------------------------------------------
## lstat 
##        n  missing distinct     Info     Mean  pMedian      Gmd      .05 
##      404        0      377        1    12.55    11.91    7.757    3.709 
##      .10      .25      .50      .75      .90      .95 
##    4.676    6.915   11.395   16.605   22.950   26.417 
## 
## lowest : 1.73  1.92  2.47  2.87  2.94 , highest: 34.02 34.37 34.77 36.98 37.97
## --------------------------------------------------------------------------------
## medv 
##        n  missing distinct     Info     Mean  pMedian      Gmd      .05 
##      404        0      208        1    22.46     21.5    9.625    10.40 
##      .10      .25      .50      .75      .90      .95 
##    12.86    17.08    21.20    25.00    33.37    43.44 
## 
## lowest : 5    5.6  6.3  7    7.2 , highest: 46.7 48.3 48.5 48.8 50  
## --------------------------------------------------------------------------------
#Estructura de los datos
str(datos)
## 'data.frame':    404 obs. of  14 variables:
##  $ crim   : num  0.00632 0.02731 0.02729 0.03237 0.02985 ...
##  $ zn     : num  18 0 0 0 0 12.5 12.5 12.5 12.5 12.5 ...
##  $ indus  : num  2.31 7.07 7.07 2.18 2.18 7.87 7.87 7.87 7.87 7.87 ...
##  $ chas   : int  0 0 0 0 0 0 0 0 0 0 ...
##  $ nox    : num  0.538 0.469 0.469 0.458 0.458 0.524 0.524 0.524 0.524 0.524 ...
##  $ rm     : num  6.58 6.42 7.18 7 6.43 ...
##  $ age    : num  65.2 78.9 61.1 45.8 58.7 96.1 100 85.9 94.3 82.9 ...
##  $ dis    : num  4.09 4.97 4.97 6.06 6.06 ...
##  $ rad    : int  1 2 2 3 3 5 5 5 5 5 ...
##  $ tax    : num  296 242 242 222 222 311 311 311 311 311 ...
##  $ ptratio: num  15.3 17.8 17.8 18.7 18.7 15.2 15.2 15.2 15.2 15.2 ...
##  $ black  : num  397 397 393 395 394 ...
##  $ lstat  : num  4.98 9.14 4.03 2.94 5.21 ...
##  $ medv   : num  24 21.6 34.7 33.4 28.7 27.1 16.5 18.9 15 18.9 ...
#Boxplot de los datos
boxplot(
  datos,
  las = 2,
  col = "lightblue",
  main = "Boston: datos de entrenamiento"
)

Interpretación: La data de entrenamiento contiene 404 observaciones, 14 variables y ningún dato perdido. El boxplot señala valores extremos, pero mezcla variables con escalas muy distintas.

6 5. Analisis de datos perdidos

#Datos perdidos
vis_miss(datos)

#Suma de datos perdidos
sum(is.na(datos))
## [1] 0
#Datos perdidos por variables
sapply(datos, function(x) sum(is.na(x)))
##    crim      zn   indus    chas     nox      rm     age     dis     rad     tax 
##       0       0       0       0       0       0       0       0       0       0 
## ptratio   black   lstat    medv 
##       0       0       0       0

Interpretación: La data de entrenamiento no presenta valores perdidos.

7 6. Analizar las variables

#chas permanece en la base
table(datos$chas, useNA = "ifany")
## 
##   0   1 
## 373  31
#Revisar valores distintos de 0 y 1
ids_chas_invalidos <- which(
  !is.na(datos$chas) &
    !(datos$chas %in% c(0, 1))
)

if (length(ids_chas_invalidos) > 0) {
  stop("chas contiene valores distintos de 0 y 1: revisar la fuente.")
}

#Gráfico apropiado para una variable binaria
grafico_chas <- ggplot(
  datos,
  aes(x = factor(chas))
) +
  geom_bar(fill = "steelblue", color = "white") +
  labs(
    title = "Distribución de chas: entrenamiento",
    x = "chas",
    y = "Frecuencia"
  ) +
  theme_minimal()

print(grafico_chas)

Interpretación: La varibles chas es una variable binaria: sus valores 1 no son datos atípicos por ser menos frecuentes. Ambas categorías son válidas y deben conservarse. En el conjunto de entrenamiento, el 92,33 % de las zonas no limita con el río Charles, mientras que el 7,67 % sí lo hace. La variable presenta una mayor frecuencia de la categoría 0. Esta diferencia corresponde a la distribución de una característica geográfica y no implica errores ni necesidad de imputación.

8 7. Análisis de datos outliers

datos_originales <- datos

#medv: respuesta, no se reemplaza.
#chas: binaria, no se analiza con Z, IQR o MAD.
#Ambas permanecen como columnas de la base.
variables <- setdiff(
  names(datos_originales),
  c("medv", "chas")
)

#rad se analiza como índice discreto.
#Sus resultados requieren interpretación cautelosa.

resultados <- list()
resumenes <- list()
graficos <- list()
paneles <- list()
parametros_deteccion <- list()

mostrar_graficos <- TRUE

9 7.1 Métodos para detectar outliers

for (variable in variables) {
  
  datos_variable <- data.frame(
    ID = seq_len(nrow(datos_originales)),
    Valor = datos_originales[[variable]]
  )
  
  valido <- is.finite(datos_variable$Valor)
  x <- datos_variable$Valor[valido]
  
  if (length(x) < 2) {
    warning(paste("Observaciones insuficientes en", variable))
    next
  }
  
  media <- mean(x)
  desv <- sd(x)
  mediana <- median(x)
  
  Q1 <- unname(quantile(x, 0.25))
  Q3 <- unname(quantile(x, 0.75))
  IQR_variable <- Q3 - Q1
  
  MAD_variable <- mad(x, constant = 1)
  MAD_ajustada <- 1.4826 * MAD_variable
  
  Z_disponible <- is.finite(desv) && desv > 0
  IQR_disponible <- is.finite(IQR_variable) &&
    IQR_variable > 0
  MAD_disponible <- is.finite(MAD_ajustada) &&
    MAD_ajustada > 0
  
  datos_variable$Z_score <- NA_real_
  datos_variable$outlier_Z <- NA
  datos_variable$outlier_IQR <- NA
  datos_variable$outlier_extremo <- NA
  datos_variable$Z_robusto <- NA_real_
  datos_variable$outlier_MAD <- NA
  
  cat(
    "\n========================================\n",
    "VARIABLE:", variable,
    "\n========================================\n"
  )
  
  # ------------------------------------------------------------
  # MÉTODO Z-SCORE
  # ------------------------------------------------------------
  
  limite_inferior_Z <- NA_real_
  limite_superior_Z <- NA_real_
  
  if (Z_disponible) {
    
    datos_variable$Z_score[valido] <- (x - media) / desv
    
    datos_variable$outlier_Z[valido] <-
      abs(datos_variable$Z_score[valido]) > 3
    
    limite_inferior_Z <- media - 3 * desv
    limite_superior_Z <- media + 3 * desv
    
  } else {
    cat("Z-score no disponible: desviación nula o indefinida.\n")
  }
  
  cat("\n================ MÉTODO Z ================\n")
  cat("Límite inferior =", limite_inferior_Z, "\n")
  cat("Límite superior =", limite_superior_Z, "\n")
  cat(
    "Número de outliers =",
    sum(datos_variable$outlier_Z, na.rm = TRUE),
    "\n"
  )
  
  print(
    datos_variable %>%
      filter(outlier_Z %in% TRUE) %>%
      dplyr::select(ID, Valor, Z_score)
  )
  
  # ------------------------------------------------------------
  # MÉTODO BOX PLOT / IQR
  # ------------------------------------------------------------
  
  limite_inferior_IQR <- Q1 - 1.5 * IQR_variable
  limite_superior_IQR <- Q3 + 1.5 * IQR_variable
  
  if (IQR_disponible) {
    
    datos_variable$outlier_IQR[valido] <-
      x < limite_inferior_IQR |
      x > limite_superior_IQR
    
  } else {
    cat("\nIQR nulo o indefinido: criterio no evaluado.\n")
  }
  
  cat("\n================ MÉTODO IQR ================\n")
  cat("Q1 =", Q1, "\n")
  cat("Q3 =", Q3, "\n")
  cat("IQR =", IQR_variable, "\n")
  cat("Límite inferior =", limite_inferior_IQR, "\n")
  cat("Límite superior =", limite_superior_IQR, "\n")
  cat(
    "Número de outliers =",
    sum(datos_variable$outlier_IQR, na.rm = TRUE),
    "\n"
  )
  
  print(
    datos_variable %>%
      filter(outlier_IQR %in% TRUE) %>%
      dplyr::select(ID, Valor)
  )
  
  # ------------------------------------------------------------
  # OUTLIERS EXTREMOS SEGÚN TUKEY
  # ------------------------------------------------------------
  
  limite_inferior_extremo <- Q1 - 3 * IQR_variable
  limite_superior_extremo <- Q3 + 3 * IQR_variable
  
  if (IQR_disponible) {
    
    datos_variable$outlier_extremo[valido] <-
      x < limite_inferior_extremo |
      x > limite_superior_extremo
  }
  
  cat("\n=========== OUTLIERS EXTREMOS TUKEY ===========\n")
  cat("Límite inferior =", limite_inferior_extremo, "\n")
  cat("Límite superior =", limite_superior_extremo, "\n")
  cat(
    "Número de outliers extremos =",
    sum(datos_variable$outlier_extremo, na.rm = TRUE),
    "\n"
  )
  
  print(
    datos_variable %>%
      filter(outlier_extremo %in% TRUE) %>%
      dplyr::select(ID, Valor)
  )
  
  # ------------------------------------------------------------
  # MÉTODO ROBUSTO MAD
  # ------------------------------------------------------------
  
  if (MAD_disponible) {
    
    datos_variable$Z_robusto[valido] <-
      (x - mediana) / MAD_ajustada
    
    datos_variable$outlier_MAD[valido] <-
      abs(datos_variable$Z_robusto[valido]) > 3.5
    
  } else {
    cat("\nMAD nula o indefinida: criterio no evaluado.\n")
  }
  
  cat("\n================ MÉTODO MAD ================\n")
  cat("Mediana =", mediana, "\n")
  cat("MAD =", MAD_variable, "\n")
  cat("MAD ajustada =", MAD_ajustada, "\n")
  cat(
    "Número de outliers =",
    sum(datos_variable$outlier_MAD, na.rm = TRUE),
    "\n"
  )
  
  print(
    datos_variable %>%
      filter(outlier_MAD %in% TRUE) %>%
      dplyr::select(ID, Valor, Z_robusto)
  )
  
  # ------------------------------------------------------------
  # COMPARAR LOS CUATRO CRITERIOS
  # ------------------------------------------------------------
  
  comparacion <- datos_variable %>%
    dplyr::select(
      ID, Valor,
      Z_score, outlier_Z,
      outlier_IQR, outlier_extremo,
      Z_robusto, outlier_MAD
    )
  
  cat("\n================ COMPARACIÓN ================\n")
  print(comparacion)
  
  #Coincidencias: Z-score, IQR y MAD.
  #Tukey extremo no agrega un voto: está incluido en IQR.
  indicadores <- datos_variable[, c(
    "outlier_Z", "outlier_IQR", "outlier_MAD"
  )]
  
  datos_variable$metodos_evaluados <-
    rowSums(!is.na(indicadores))
  
  datos_variable$numero_metodos <-
    rowSums(indicadores, na.rm = TRUE)
  
  datos_variable$numero_metodos[
    datos_variable$metodos_evaluados == 0
  ] <- NA_real_
  
  # ------------------------------------------------------------
  # AL MENOS UN MÉTODO
  # ------------------------------------------------------------
  
  cat("\n===== AL MENOS UN MÉTODO =====\n")
  
  print(
    datos_variable %>%
      filter(numero_metodos >= 1) %>%
      dplyr::select(
        ID, Valor, Z_score, outlier_Z,
        outlier_IQR, Z_robusto, outlier_MAD,
        metodos_evaluados, numero_metodos
      )
  )
  
  # ------------------------------------------------------------
  # AL MENOS DOS MÉTODOS
  # ------------------------------------------------------------
  
  cat("\n===== AL MENOS DOS MÉTODOS =====\n")
  
  print(
    datos_variable %>%
      filter(numero_metodos >= 2) %>%
      dplyr::select(
        ID, Valor, Z_score, outlier_Z,
        outlier_IQR, Z_robusto, outlier_MAD,
        metodos_evaluados, numero_metodos
      )
  )
  
  # ------------------------------------------------------------
  # LOS TRES MÉTODOS
  # ------------------------------------------------------------
  
  cat("\n===== LOS TRES MÉTODOS =====\n")
  
  print(
    datos_variable %>%
      filter(numero_metodos == 3) %>%
      dplyr::select(ID, Valor, Z_score, Z_robusto)
  )
  
  # ------------------------------------------------------------
  # RESUMEN DEL NÚMERO DE OUTLIERS
  # ------------------------------------------------------------
  
  columnas <- c(
    "outlier_Z", "outlier_IQR",
    "outlier_extremo", "outlier_MAD"
  )
  
  resumen_variable <- data.frame(
    Variable = variable,
    Metodo = c("Z-score", "IQR", "Tukey extremo", "MAD"),
    N_evaluados = vapply(
      datos_variable[columnas],
      function(z) as.integer(sum(!is.na(z))),
      integer(1)
    ),
    N_outliers = vapply(
      datos_variable[columnas],
      function(z) as.integer(sum(z, na.rm = TRUE)),
      integer(1)
    )
  )
  
  resumen_variable$Porcentaje <- NA_real_
  evaluados <- resumen_variable$N_evaluados > 0
  
  resumen_variable$Porcentaje[evaluados] <- round(
    100 * resumen_variable$N_outliers[evaluados] /
      resumen_variable$N_evaluados[evaluados],
    2
  )
  
  cat("\n================ RESUMEN ================\n")
  print(resumen_variable, row.names = FALSE)
  
  # ------------------------------------------------------------
  # GRÁFICOS
  # ------------------------------------------------------------
  
  datos_grafico <- datos_variable[valido, , drop = FALSE]
  g <- list()
  
  #Histograma
  g$histograma <- ggplot(
    datos_grafico,
    aes(x = Valor)
  ) +
    geom_histogram(
      bins = 20,
      fill = "steelblue",
      color = "white"
    ) +
    geom_vline(
      xintercept = media,
      linetype = "dashed",
      color = "red"
    ) +
    labs(
      title = paste("Histograma:", variable),
      subtitle = "Línea roja: media",
      x = variable,
      y = "Frecuencia"
    ) +
    theme_minimal()
  
  #Boxplot
  g$boxplot <- ggplot(
    datos_grafico,
    aes(x = "", y = Valor)
  ) +
    geom_boxplot(fill = "lightblue") +
    labs(
      title = paste("Boxplot:", variable),
      x = NULL,
      y = variable
    ) +
    theme_minimal()
  
  #Boxplot con ID
  g$boxplot_ID <- ggplot(
    datos_grafico,
    aes(x = "", y = Valor)
  ) +
    geom_boxplot(
      fill = "lightblue",
      outlier.shape = NA
    ) +
    geom_point(
      data = filter(datos_grafico, outlier_IQR %in% TRUE),
      color = "red"
    ) +
    geom_text(
      data = filter(datos_grafico, outlier_IQR %in% TRUE),
      aes(label = ID),
      hjust = -0.2,
      size = 3,
      check_overlap = TRUE
    ) +
    labs(
      title = paste("Atípicos IQR con ID:", variable),
      subtitle = "ID dentro del entrenamiento",
      x = NULL,
      y = variable
    ) +
    theme_minimal()
  
  #Z-score
  if (Z_disponible) {
    
    g$Z_score <- ggplot(
      datos_grafico,
      aes(x = ID, y = Z_score, color = outlier_Z)
    ) +
      geom_point(size = 1) +
      geom_hline(
        yintercept = c(-3, 3),
        linetype = "dashed"
      ) +
      scale_color_manual(
        values = c("NO" = "steelblue", "SI" = "red")
      ) +
      labs(
        title = paste("Z-score:", variable),
        x = "ID",
        y = "Z-score",
        color = "Atípico"
      ) +
      theme_minimal()
  }
  
  #IQR
  if (IQR_disponible) {
    
    g$IQR <- ggplot(
      datos_grafico,
      aes(x = ID, y = Valor, color = outlier_IQR)
    ) +
      geom_point(size = 1) +
      geom_hline(
        yintercept = c(
          limite_inferior_IQR,
          limite_superior_IQR
        ),
        linetype = "dashed"
      ) +
      scale_color_manual(
        values = c("NO" = "steelblue", "SI" = "red")
      ) +
      labs(
        title = paste("Método IQR:", variable),
        x = "ID",
        y = variable,
        color = "Atípico"
      ) +
      theme_minimal()
  }
  
  #MAD
  if (MAD_disponible) {
    
    g$MAD <- ggplot(
      datos_grafico,
      aes(x = ID, y = Z_robusto, color = outlier_MAD)
    ) +
      geom_point(size = 1) +
      geom_hline(
        yintercept = c(-3.5, 3.5),
        linetype = "dashed"
      ) +
      scale_color_manual(
        values = c("NO" = "steelblue", "SI" = "red")
      ) +
      labs(
        title = paste("Método MAD:", variable),
        x = "ID",
        y = "Z robusto",
        color = "Atípico"
      ) +
      theme_minimal()
  }
  
  # ------------------------------------------------------------
  # SEIS GRÁFICOS: TRES FILAS Y DOS COLUMNAS
  # ------------------------------------------------------------
  
  graficos_panel <- unname(g)
  
  while (length(graficos_panel) < 6) {
    graficos_panel[[length(graficos_panel) + 1]] <-
      patchwork::plot_spacer()
  }
  
  panel <- patchwork::wrap_plots(
    graficos_panel,
    ncol = 2,
    nrow = 3
  ) +
    patchwork::plot_annotation(
      title = paste("Entrenamiento Boston:", variable)
    )
  
  if (mostrar_graficos) {
    print(panel)
  }
  
  # ------------------------------------------------------------
  # CLASIFICACIÓN FINAL
  # ------------------------------------------------------------
  
  datos_variable$clasificacion <- case_when(
    datos_variable$metodos_evaluados == 0 ~
      "No evaluado",
    datos_variable$numero_metodos == 0 ~
      "No señalado como atípico",
    datos_variable$numero_metodos == 1 ~
      "Outlier según 1 método",
    datos_variable$numero_metodos == 2 ~
      "Outlier según 2 métodos",
    datos_variable$numero_metodos == 3 ~
      "Outlier según 3 métodos"
  )
  
  cat("\n================ CLASIFICACIÓN FINAL ================\n")
  
  print(
    datos_variable %>%
      filter(numero_metodos > 0) %>%
      dplyr::select(
        ID, Valor, Z_score, Z_robusto,
        metodos_evaluados, numero_metodos,
        clasificacion
      )
  )
  
  #Conservar resultados
  datos_variable$Variable <- variable
  
  resultados[[variable]] <- datos_variable
  resumenes[[variable]] <- resumen_variable
  graficos[[variable]] <- g
  paneles[[variable]] <- panel
  
  #Guardar parámetros estimados exclusivamente en entrenamiento
  parametros_deteccion[[variable]] <- data.frame(
    Variable = variable,
    Media = media,
    Desviacion = desv,
    Mediana = mediana,
    MAD_ajustada = MAD_ajustada,
    LI_Z = limite_inferior_Z,
    LS_Z = limite_superior_Z,
    LI_IQR = limite_inferior_IQR,
    LS_IQR = limite_superior_IQR,
    LI_extremo = limite_inferior_extremo,
    LS_extremo = limite_superior_extremo,
    Z_disponible = Z_disponible,
    IQR_disponible = IQR_disponible,
    MAD_disponible = MAD_disponible
  )
}
## 
## ========================================
##  VARIABLE: crim 
## ========================================
## 
## ================ MÉTODO Z ================
## Límite inferior = -23.65842 
## Límite superior = 31.12487 
## Número de outliers = 7 
##    ID   Valor  Z_score
## 1 305 88.9762 9.336019
## 2 321 41.5292 4.139508
## 3 322 67.9208 7.029980
## 4 324 51.1358 5.191646
## 5 328 45.7461 4.601353
## 6 332 73.5341 7.644763
## 7 341 37.6619 3.715951
## 
## ================ MÉTODO IQR ================
## Q1 = 0.0813475 
## Q3 = 3.674808 
## IQR = 3.59346 
## Límite inferior = -5.308842 
## Límite superior = 9.064998 
## Número de outliers = 53 
##     ID    Valor
## 1  294 13.52220
## 2  297  9.23230
## 3  299 11.10810
## 4  300 18.49820
## 5  301 19.60910
## 6  302 15.28800
## 7  303  9.82349
## 8  304 23.64820
## 9  305 88.97620
## 10 306  9.18702
## 11 308 24.39380
## 12 309 22.59710
## 13 310 14.33370
## 14 312 11.57790
## 15 314 13.35980
## 16 317  9.91655
## 17 318 25.04610
## 18 319  9.59571
## 19 320 24.80170
## 20 321 41.52920
## 21 322 67.92080
## 22 324 51.13580
## 23 325 14.05070
## 24 326 18.81100
## 25 327 28.65580
## 26 328 45.74610
## 27 329 18.08460
## 28 330 10.83420
## 29 331 25.94060
## 30 332 73.53410
## 31 333 11.81230
## 32 334 11.08740
## 33 336 12.04820
## 34 339 15.86030
## 35 340 12.24720
## 36 341 37.66190
## 37 342  9.33889
## 38 344 10.06230
## 39 347 13.91340
## 40 348 11.16040
## 41 349 14.42080
## 42 350 13.67810
## 43 351  9.39063
## 44 352 22.05110
## 45 354 12.80230
## 46 355 10.67180
## 47 357  9.92485
## 48 362  9.51363
## 49 371 15.57570
## 50 372 13.07510
## 51 380 15.02340
## 52 381 10.23300
## 53 382 14.33370
## 
## =========== OUTLIERS EXTREMOS TUKEY ===========
## Límite inferior = -10.69903 
## Límite superior = 14.45519 
## Número de outliers extremos = 23 
##     ID   Valor
## 1  300 18.4982
## 2  301 19.6091
## 3  302 15.2880
## 4  304 23.6482
## 5  305 88.9762
## 6  308 24.3938
## 7  309 22.5971
## 8  318 25.0461
## 9  320 24.8017
## 10 321 41.5292
## 11 322 67.9208
## 12 324 51.1358
## 13 326 18.8110
## 14 327 28.6558
## 15 328 45.7461
## 16 329 18.0846
## 17 331 25.9406
## 18 332 73.5341
## 19 339 15.8603
## 20 341 37.6619
## 21 352 22.0511
## 22 371 15.5757
## 23 380 15.0234
## 
## ================ MÉTODO MAD ================
## Mediana = 0.256355 
## MAD = 0.221995 
## MAD ajustada = 0.3291298 
## Número de outliers = 130 
##      ID    Valor  Z_robusto
## 1    24  1.61282   4.121368
## 2   109  3.32105   9.311509
## 3   110  4.09740  11.670305
## 4   111  2.77974   7.666839
## 5   112  2.37934   6.450297
## 6   113  2.15505   5.768834
## 7   114  2.36862   6.417727
## 8   115  2.73397   7.527775
## 9   116  1.65660   4.254386
## 10  117  1.49632   3.767404
## 11  119  2.14918   5.750999
## 12  120  1.41385   3.516835
## 13  121  3.53501   9.961587
## 14  122  2.44668   6.654898
## 15  125  1.42502   3.550773
## 16  127  1.46336   3.667262
## 17  128  1.83377   4.792684
## 18  129  1.51902   3.836374
## 19  130  2.24236   6.034109
## 20  131  2.92400   8.105146
## 21  132  2.01019   5.328703
## 22  133  1.80028   4.690931
## 23  134  2.30040   6.210453
## 24  136  2.31390   6.251470
## 25  284  8.98296  26.514176
## 26  285  3.84970  10.917714
## 27  286  5.20177  15.025729
## 28  287  4.54192  13.020897
## 29  288  3.83684  10.878642
## 30  289  3.67822  10.396704
## 31  290  4.22239  12.050064
## 32  291  3.47428   9.777070
## 33  292  4.55587  13.063281
## 34  293  3.69695  10.453612
## 35  294 13.52220  40.305817
## 36  295  4.89822  14.103448
## 37  296  6.53876  19.087926
## 38  297  9.23230  27.271749
## 39  298  8.26725  24.339623
## 40  299 11.10810  32.971021
## 41  300 18.49820  55.424473
## 42  301 19.60910  58.799737
## 43  302 15.28800  45.670874
## 44  303  9.82349  29.067971
## 45  304 23.64820  71.071796
## 46  305 88.97620 269.558844
## 47  306  9.18702  27.134174
## 48  307  7.99248  23.504785
## 49  308 24.39380  73.337163
## 50  309 22.59710  67.878223
## 51  310 14.33370  42.771410
## 52  311  5.29305  15.303066
## 53  312 11.57790  34.398421
## 54  313  8.64476  25.486618
## 55  314 13.35980  39.812395
## 56  315  8.71675  25.705346
## 57  316  5.87205  17.062251
## 58  317  9.91655  29.350716
## 59  318 25.04610  75.319056
## 60  319  9.59571  28.375903
## 61  320 24.80170  74.576492
## 62  321 41.52920 125.399908
## 63  322 67.92080 205.585905
## 64  323  7.40389  21.716463
## 65  324 51.13580 154.587786
## 66  325 14.05070  41.911567
## 67  326 18.81100  56.374858
## 68  327 28.65580  86.286462
## 69  328 45.74610 138.212179
## 70  329 18.08460  54.167826
## 71  330 10.83420  32.138826
## 72  331 25.94060  78.036829
## 73  332 73.53410 222.640879
## 74  333 11.81230  35.110602
## 75  334 11.08740  32.908128
## 76  335  7.02259  20.557954
## 77  336 12.04820  35.827341
## 78  337  7.05042  20.642510
## 79  338  8.79212  25.934344
## 80  339 15.86030  47.409702
## 81  340 12.24720  36.431965
## 82  341 37.66190 113.649832
## 83  342  9.33889  27.595603
## 84  343  8.49213  25.022880
## 85  344 10.06230  29.793551
## 86  345  6.44405  18.800167
## 87  346  5.58107  16.178162
## 88  347 13.91340  41.494406
## 89  348 11.16040  33.129925
## 90  349 14.42080  43.036047
## 91  350 13.67810  40.779490
## 92  351  9.39063  27.752806
## 93  352 22.05110  66.219303
## 94  353  5.66637  16.437330
## 95  354 12.80230  38.118534
## 96  355 10.67180  31.645404
## 97  356  6.28807  18.326251
## 98  357  9.92485  29.375934
## 99  358  7.52601  22.087503
## 100 359  6.71772  19.631663
## 101 360  5.44114  15.753011
## 102 361  8.24809  24.281409
## 103 362  9.51363  28.126518
## 104 363  4.75237  13.660310
## 105 364  4.66883  13.406489
## 106 365  8.20058  24.137059
## 107 366  6.80117  19.885210
## 108 367  6.65492  19.440857
## 109 368  7.83932  23.039437
## 110 369  3.16360   8.833126
## 111 370  3.77498  10.690691
## 112 371 15.57570  46.544997
## 113 372 13.07510  38.947386
## 114 373  4.34879  12.434107
## 115 374  4.03841  11.491075
## 116 375  3.56868  10.063887
## 117 376  4.64689  13.339829
## 118 377  8.05579  23.697141
## 119 378  6.39312  18.645426
## 120 379  4.87141  14.021991
## 121 380 15.02340  44.866936
## 122 381 10.23300  30.312191
## 123 382 14.33370  42.771410
## 124 383  5.82401  16.916290
## 125 384  5.70818  16.564362
## 126 385  5.73116  16.634183
## 127 386  2.81838   7.784239
## 128 387  2.37857   6.447958
## 129 388  3.67367  10.382880
## 130 389  4.83567  13.913402
## 
## ================ COMPARACIÓN ================
##      ID    Valor      Z_score outlier_Z outlier_IQR outlier_extremo
## 1     1  0.00632 -0.408179933     FALSE       FALSE           FALSE
## 2     2  0.02731 -0.405881056     FALSE       FALSE           FALSE
## 3     3  0.02729 -0.405883247     FALSE       FALSE           FALSE
## 4     4  0.03237 -0.405326873     FALSE       FALSE           FALSE
## 5     5  0.02985 -0.405602869     FALSE       FALSE           FALSE
## 6     6  0.14455 -0.393040644     FALSE       FALSE           FALSE
## 7     7  0.21124 -0.385736592     FALSE       FALSE           FALSE
## 8     8  0.17004 -0.390248917     FALSE       FALSE           FALSE
## 9     9  0.22489 -0.384241611     FALSE       FALSE           FALSE
## 10   10  0.11747 -0.396006512     FALSE       FALSE           FALSE
## 11   11  0.62976 -0.339899257     FALSE       FALSE           FALSE
## 12   12  0.63796 -0.339001173     FALSE       FALSE           FALSE
## 13   13  0.78420 -0.322984610     FALSE       FALSE           FALSE
## 14   14  0.72580 -0.329380721     FALSE       FALSE           FALSE
## 15   15  0.85204 -0.315554607     FALSE       FALSE           FALSE
## 16   16  0.98843 -0.300616840     FALSE       FALSE           FALSE
## 17   17  0.75026 -0.326701802     FALSE       FALSE           FALSE
## 18   18  0.84054 -0.316814115     FALSE       FALSE           FALSE
## 19   19  0.95577 -0.304193843     FALSE       FALSE           FALSE
## 20   20  1.00245 -0.299081335     FALSE       FALSE           FALSE
## 21   21  1.13081 -0.285023033     FALSE       FALSE           FALSE
## 22   22  1.35472 -0.260499862     FALSE       FALSE           FALSE
## 23   23  1.15172 -0.282732919     FALSE       FALSE           FALSE
## 24   24  1.61282 -0.232232118     FALSE       FALSE           FALSE
## 25   25  0.06417 -0.401844059     FALSE       FALSE           FALSE
## 26   26  0.09744 -0.398200247     FALSE       FALSE           FALSE
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## 380 380 15.02340  1.236527453     FALSE        TRUE            TRUE
## 381 381 10.23300  0.711871111     FALSE        TRUE           FALSE
## 382 382 14.33370  1.160989819     FALSE        TRUE           FALSE
## 383 383  5.82401  0.228987726     FALSE       FALSE           FALSE
## 384 384  5.70818  0.216301741     FALSE       FALSE           FALSE
## 385 385  5.73116  0.218818567     FALSE       FALSE           FALSE
## 386 386  2.81838 -0.100196233     FALSE       FALSE           FALSE
## 387 387  2.37857 -0.148365302     FALSE       FALSE           FALSE
## 388 388  3.67367 -0.006522778     FALSE       FALSE           FALSE
## 389 389  4.83567  0.120742309     FALSE       FALSE           FALSE
## 390 390  0.15086 -0.392349558     FALSE       FALSE           FALSE
## 391 391  0.18337 -0.388788983     FALSE       FALSE           FALSE
## 392 392  0.20746 -0.386150587     FALSE       FALSE           FALSE
## 393 393  0.10574 -0.397291211     FALSE       FALSE           FALSE
## 394 394  0.11132 -0.396680075     FALSE       FALSE           FALSE
## 395 395  0.27957 -0.378252923     FALSE       FALSE           FALSE
## 396 396  0.17899 -0.389268691     FALSE       FALSE           FALSE
## 397 397  0.28960 -0.377154413     FALSE       FALSE           FALSE
## 398 398  0.23912 -0.382683106     FALSE       FALSE           FALSE
## 399 399  0.17783 -0.389395737     FALSE       FALSE           FALSE
## 400 400  0.22438 -0.384297467     FALSE       FALSE           FALSE
## 401 401  0.06263 -0.402012723     FALSE       FALSE           FALSE
## 402 402  0.04527 -0.403914033     FALSE       FALSE           FALSE
## 403 403  0.10959 -0.396869549     FALSE       FALSE           FALSE
## 404 404  0.04741 -0.403679655     FALSE       FALSE           FALSE
##         Z_robusto outlier_MAD
## 1    -0.759685115       FALSE
## 2    -0.695910881       FALSE
## 3    -0.695971647       FALSE
## 4    -0.680537007       FALSE
## 5    -0.688193561       FALSE
## 6    -0.339698819       FALSE
## 7    -0.137073586       FALSE
## 8    -0.262252167       FALSE
## 9    -0.095600584       FALSE
## 10   -0.421976392       FALSE
## 11    1.134522048       FALSE
## 12    1.159436232       FALSE
## 13    1.603759431       FALSE
## 14    1.426321830       FALSE
## 15    1.809878727       FALSE
## 16    2.224274523       FALSE
## 17    1.500639017       FALSE
## 18    1.774938104       FALSE
## 19    2.125043152       FALSE
## 20    2.266871701       FALSE
## 21    2.656869826       FALSE
## 22    3.337178959       FALSE
## 23    2.720400995       FALSE
## 24    4.121368085        TRUE
## 25   -0.583918586       FALSE
## 26   -0.482833843       FALSE
## 27   -0.247030209       FALSE
## 28   -0.391684390       FALSE
## 29   -0.348965680       FALSE
## 30   -0.258059293       FALSE
## 31   -0.206590235       FALSE
## 32   -0.111156758       FALSE
## 33   -0.509297568       FALSE
## 34   -0.737566181       FALSE
## 35   -0.739054955       FALSE
## 36   -0.716449891       FALSE
## 37   -0.735378594       FALSE
## 38   -0.309619500       FALSE
## 39   -0.257178181       FALSE
## 40   -0.443852261       FALSE
## 41   -0.719609739       FALSE
## 42   -0.669994053       FALSE
## 43   -0.645839448       FALSE
## 44   -0.602999205       FALSE
## 45   -0.389496804       FALSE
## 46   -0.510725576       FALSE
## 47   -0.500456071       FALSE
## 48   -0.185230880       FALSE
## 49   -0.538981906       FALSE
## 50   -0.489882734       FALSE
## 51   -0.470407135       FALSE
## 52   -0.514341171       FALSE
## 53   -0.524063779       FALSE
## 54   -0.653921366       FALSE
## 55   -0.643317647       FALSE
## 56   -0.667715317       FALSE
## 57   -0.625178905       FALSE
## 58   -0.604639895       FALSE
## 59   -0.621259479       FALSE
## 60   -0.561617354       FALSE
## 61   -0.606918632       FALSE
## 62   -0.617795800       FALSE
## 63   -0.636572587       FALSE
## 64   -0.659420717       FALSE
## 65   -0.651186883       FALSE
## 66   -0.691535707       FALSE
## 67   -0.648422016       FALSE
## 68   -0.408091292       FALSE
## 69   -0.429359498       FALSE
## 70   -0.411767653       FALSE
## 71   -0.530140409       FALSE
## 72   -0.570458851       FALSE
## 73   -0.327211344       FALSE
## 74   -0.431547084       FALSE
## 75   -0.083842305       FALSE
## 76   -0.135949409       FALSE
## 77   -0.354738479       FALSE
## 78   -0.375945918       FALSE
## 79   -0.380351475       FALSE
## 80   -0.450961918       FALSE
## 81   -0.472503572       FALSE
## 82   -0.404293398       FALSE
## 83   -0.104016717       FALSE
## 84   -0.346504645       FALSE
## 85   -0.258302358       FALSE
## 86   -0.379105766       FALSE
## 87   -0.320162453       FALSE
## 88   -0.339060773       FALSE
## 89   -0.569273908       FALSE
## 90   -0.561191990       FALSE
## 91   -0.496354345       FALSE
## 92   -0.321985442       FALSE
## 93   -0.479643612       FALSE
## 94   -0.265351249       FALSE
## 95    0.008492091       FALSE
## 96    0.209871615       FALSE
## 97    1.898627911       FALSE
## 98    0.254322165       FALSE
## 99    2.845640343       FALSE
## 100   1.013870556       FALSE
## 101   0.223209818       FALSE
## 102   2.187024780       FALSE
## 103   0.915824127       FALSE
## 104   0.201394716       FALSE
## 105   0.291602291       FALSE
## 106  -0.019916155       FALSE
## 107   0.875536069       FALSE
## 108   0.104958595       FALSE
## 109   9.311509080        TRUE
## 110  11.670305003        TRUE
## 111   7.666838736        TRUE
## 112   6.450297372        TRUE
## 113   5.768833679        TRUE
## 114   6.417726634        TRUE
## 115   7.527775054        TRUE
## 116   4.254385520        TRUE
## 117   3.767404377        TRUE
## 118   2.644017753       FALSE
## 119   5.750998769        TRUE
## 120   3.516834531        TRUE
## 121   9.961586977        TRUE
## 122   6.654897510        TRUE
## 123   2.938734318       FALSE
## 124   3.301083776       FALSE
## 125   3.550772510        TRUE
## 126   3.090285475       FALSE
## 127   3.667261511        TRUE
## 128   4.792683805        TRUE
## 129   3.836374129        TRUE
## 130   6.034108970        TRUE
## 131   8.105146071        TRUE
## 132   5.328703354        TRUE
## 133   4.690930633        TRUE
## 134   6.210452778        TRUE
## 135   2.889635146       FALSE
## 136   6.251470032        TRUE
## 137  -0.356136104       FALSE
## 138  -0.500030707       FALSE
## 139  -0.522240790       FALSE
## 140  -0.576413948       FALSE
## 141  -0.565536780       FALSE
## 142  -0.577082378       FALSE
## 143  -0.603272654       FALSE
## 144  -0.578723068       FALSE
## 145  -0.474812691       FALSE
## 146  -0.526464048       FALSE
## 147  -0.595160352       FALSE
## 148  -0.539619952       FALSE
## 149  -0.396697610       FALSE
## 150  -0.524580293       FALSE
## 151  -0.503372853       FALSE
## 152  -0.568909310       FALSE
## 153  -0.515647646       FALSE
## 154  -0.712439315       FALSE
## 155  -0.735165912       FALSE
## 156  -0.736928135       FALSE
## 157  -0.657020448       FALSE
## 158  -0.637119484       FALSE
## 159  -0.664403553       FALSE
## 160  -0.683180341       FALSE
## 161  -0.724866024       FALSE
## 162  -0.674217311       FALSE
## 163  -0.712743147       FALSE
## 164  -0.672242406       FALSE
## 165  -0.013262245       FALSE
## 166  -0.366071394       FALSE
## 167   0.544937004       FALSE
## 168  -0.248822815       FALSE
## 169  -0.118995611       FALSE
## 170  -0.351943229       FALSE
## 171   0.100856870       FALSE
## 172  -0.177240111       FALSE
## 173  -0.640340098       FALSE
## 174  -0.442576168       FALSE
## 175  -0.431759767       FALSE
## 176   0.309102986       FALSE
## 177   0.459864181       FALSE
## 178   1.115684494       FALSE
## 179   1.088765023       FALSE
## 180   0.179184633       FALSE
## 181   0.382174464       FALSE
## 182   0.474053113       FALSE
## 183   0.127107912       FALSE
## 184   0.852687940       FALSE
## 185   0.627731090       FALSE
## 186   0.969025025       FALSE
## 187   0.228223038       FALSE
## 188   0.582004448       FALSE
## 189   0.225123957       FALSE
## 190   0.802798806       FALSE
## 191   0.776213549       FALSE
## 192  -0.497782354       FALSE
## 193  -0.434676549       FALSE
## 194  -0.456461268       FALSE
## 195  -0.466244643       FALSE
## 196  -0.391289409       FALSE
## 197  -0.152751291       FALSE
## 198   0.253623353       FALSE
## 199  -0.181645668       FALSE
## 200  -0.279418648       FALSE
## 201  -0.199389428       FALSE
## 202  -0.128414387       FALSE
## 203  -0.529107382       FALSE
## 204  -0.632470862       FALSE
## 205  -0.671087847       FALSE
## 206  -0.732157980       FALSE
## 207   1.079163947       FALSE
## 208   1.216222341       FALSE
## 209   0.862137100       FALSE
## 210   0.843937592       FALSE
## 211   0.801461947       FALSE
## 212   1.608316904       FALSE
## 213   0.863322043       FALSE
## 214  -0.503464003       FALSE
## 215   0.130055078       FALSE
## 216  -0.286346006       FALSE
## 217  -0.430696356       FALSE
## 218  -0.460806059       FALSE
## 219  -0.592729700       FALSE
## 220  -0.536490488       FALSE
## 221  -0.670176352       FALSE
## 222  -0.666317692       FALSE
## 223  -0.592668934       FALSE
## 224  -0.733282157       FALSE
## 225  -0.751360131       FALSE
## 226  -0.745587333       FALSE
## 227  -0.719184375       FALSE
## 228  -0.661274089       FALSE
## 229  -0.639428603       FALSE
## 230  -0.648330867       FALSE
## 231  -0.672485472       FALSE
## 232  -0.539285738       FALSE
## 233  -0.669052175       FALSE
## 234  -0.385972358       FALSE
## 235  -0.615668979       FALSE
## 236  -0.350393688       FALSE
## 237  -0.582429812       FALSE
## 238  -0.671422061       FALSE
## 239  -0.475055757       FALSE
## 240  -0.611324189       FALSE
## 241  -0.629037566       FALSE
## 242   0.718941309       FALSE
## 243   0.282700028       FALSE
## 244   1.622627368       FALSE
## 245   0.016209411       FALSE
## 246   0.039574054       FALSE
## 247   0.342858667       FALSE
## 248  -0.008492091       FALSE
## 249  -0.033831639       FALSE
## 250   0.442576168       FALSE
## 251   0.665740412       FALSE
## 252  -0.269665656       FALSE
## 253  -0.227159628       FALSE
## 254   0.287986696       FALSE
## 255   0.083751156       FALSE
## 256   0.257451630       FALSE
## 257  -0.195956132       FALSE
## 258   0.143150216       FALSE
## 259  -0.046562179       FALSE
## 260  -0.577841956       FALSE
## 261  -0.574590959       FALSE
## 262  -0.640826228       FALSE
## 263  -0.626272699       FALSE
## 264  -0.624449710       FALSE
## 265  -0.665315048       FALSE
## 266  -0.658539605       FALSE
## 267  -0.674764208       FALSE
## 268  -0.686492104       FALSE
## 269  -0.611871085       FALSE
## 270  -0.592000505       FALSE
## 271  -0.739358787       FALSE
## 272  -0.702990155       FALSE
## 273  -0.701622913       FALSE
## 274  -0.686249039       FALSE
## 275  -0.684304517       FALSE
## 276  -0.591666290       FALSE
## 277  -0.722070774       FALSE
## 278  -0.733282157       FALSE
## 279  -0.690806512       FALSE
## 280  -0.537341216       FALSE
## 281  -0.726962461       FALSE
## 282  -0.648209334       FALSE
## 283  -0.455033260       FALSE
## 284  26.514175698        TRUE
## 285  10.917714354        TRUE
## 286  15.025729045        TRUE
## 287  13.020896829        TRUE
## 288  10.878641622        TRUE
## 289  10.396704082        TRUE
## 290  12.050064007        TRUE
## 291   9.777070102        TRUE
## 292  13.063281325        TRUE
## 293  10.453611724        TRUE
## 294  40.305817109        TRUE
## 295  14.103448498        TRUE
## 296  19.087925943        TRUE
## 297  27.271749184        TRUE
## 298  24.339623202        TRUE
## 299  32.971020639        TRUE
## 300  55.424473021        TRUE
## 301  58.799737260        TRUE
## 302  45.670873904        TRUE
## 303  29.067970685        TRUE
## 304  71.071795759        TRUE
## 305 269.558844274        TRUE
## 306  27.134174276        TRUE
## 307  23.504785363        TRUE
## 308  73.337163494        TRUE
## 309  67.878222763        TRUE
## 310  42.771409809        TRUE
## 311  15.303066447        TRUE
## 312  34.398421070        TRUE
## 313  25.486617533        TRUE
## 314  39.812394738        TRUE
## 315  25.705345837        TRUE
## 316  17.062250886        TRUE
## 317  29.350716287        TRUE
## 318  75.319056430        TRUE
## 319  28.375903272        TRUE
## 320  74.576492221        TRUE
## 321 125.399907970        TRUE
## 322 205.585904627        TRUE
## 323  21.716463481        TRUE
## 324 154.587785760        TRUE
## 325  41.911566637        TRUE
## 326  56.374857983        TRUE
## 327  86.286462428        TRUE
## 328 138.212178893        TRUE
## 329  54.167825898        TRUE
## 330  32.138826134        TRUE
## 331  78.036829283        TRUE
## 332 222.640878749        TRUE
## 333  35.110602129        TRUE
## 334  32.908127516        TRUE
## 335  20.557953936        TRUE
## 336  35.827340659        TRUE
## 337  20.642510245        TRUE
## 338  25.934343645        TRUE
## 339  47.409701632        TRUE
## 340  36.431965363        TRUE
## 341 113.649832004        TRUE
## 342  27.595603190        TRUE
## 343  25.022879500        TRUE
## 344  29.793550713        TRUE
## 345  18.800167121        TRUE
## 346  16.178161960        TRUE
## 347  41.494405974        TRUE
## 348  33.129924518        TRUE
## 349  43.036047053        TRUE
## 350  40.779490432        TRUE
## 351  27.752805613        TRUE
## 352  66.219302721        TRUE
## 353  16.437330238        TRUE
## 354  38.118534072        TRUE
## 355  31.645403763        TRUE
## 356  18.326250732        TRUE
## 357  29.375934303        TRUE
## 358  22.087502521        TRUE
## 359  19.631662813        TRUE
## 360  15.753010529        TRUE
## 361  24.281409084        TRUE
## 362  28.126518369        TRUE
## 363  13.660310241        TRUE
## 364  13.406489398        TRUE
## 365  24.137058734        TRUE
## 366  19.885210207        TRUE
## 367  19.440856625        TRUE
## 368  23.039437023        TRUE
## 369   8.833126368        TRUE
## 370  10.690691451        TRUE
## 371  46.544997156        TRUE
## 372  38.947386430        TRUE
## 373  12.434107035        TRUE
## 374  11.491074796        TRUE
## 375  10.063887046        TRUE
## 376  13.339828765        TRUE
## 377  23.697141092        TRUE
## 378  18.645425733        TRUE
## 379  14.021991270        TRUE
## 380  44.866935730        TRUE
## 381  30.312191099        TRUE
## 382  42.771409809        TRUE
## 383  16.916290229        TRUE
## 384  16.564362192        TRUE
## 385  16.634182673        TRUE
## 386   7.784239231        TRUE
## 387   6.447957869        TRUE
## 388  10.382879748        TRUE
## 389  13.913401888        TRUE
## 390  -0.320527051       FALSE
## 391  -0.221751427       FALSE
## 392  -0.148558417       FALSE
## 393  -0.457615828       FALSE
## 394  -0.440662030       FALSE
## 395   0.070534485       FALSE
## 396  -0.235059247       FALSE
## 397   0.101008785       FALSE
## 398  -0.052365361       FALSE
## 399  -0.238583693       FALSE
## 400  -0.097150125       FALSE
## 401  -0.588597592       FALSE
## 402  -0.641342742       FALSE
## 403  -0.445918315       FALSE
## 404  -0.634840747       FALSE
## 
## ===== AL MENOS UN MÉTODO =====
##      ID    Valor      Z_score outlier_Z outlier_IQR  Z_robusto outlier_MAD
## 1    24  1.61282 -0.232232118     FALSE       FALSE   4.121368        TRUE
## 2   109  3.32105 -0.045142584     FALSE       FALSE   9.311509        TRUE
## 3   110  4.09740  0.039885170     FALSE       FALSE  11.670305        TRUE
## 4   111  2.77974 -0.104428181     FALSE       FALSE   7.666839        TRUE
## 5   112  2.37934 -0.148280970     FALSE       FALSE   6.450297        TRUE
## 6   113  2.15505 -0.172845760     FALSE       FALSE   5.768834        TRUE
## 7   114  2.36862 -0.149455050     FALSE       FALSE   6.417727        TRUE
## 8   115  2.73397 -0.109441023     FALSE       FALSE   7.527775        TRUE
## 9   116  1.65660 -0.227437225     FALSE       FALSE   4.254386        TRUE
## 10  117  1.49632 -0.244991483     FALSE       FALSE   3.767404        TRUE
## 11  119  2.14918 -0.173488657     FALSE       FALSE   5.750999        TRUE
## 12  120  1.41385 -0.254023799     FALSE       FALSE   3.516835        TRUE
## 13  121  3.53501 -0.021709160     FALSE       FALSE   9.961587        TRUE
## 14  122  2.44668 -0.140905728     FALSE       FALSE   6.654898        TRUE
## 15  125  1.42502 -0.252800434     FALSE       FALSE   3.550773        TRUE
## 16  127  1.46336 -0.248601343     FALSE       FALSE   3.667262        TRUE
## 17  128  1.83377 -0.208033132     FALSE       FALSE   4.792684        TRUE
## 18  129  1.51902 -0.242505323     FALSE       FALSE   3.836374        TRUE
## 19  130  2.24236 -0.163283355     FALSE       FALSE   6.034109        TRUE
## 20  131  2.92400 -0.088628472     FALSE       FALSE   8.105146        TRUE
## 21  132  2.01019 -0.188711182     FALSE       FALSE   5.328703        TRUE
## 22  133  1.80028 -0.211701039     FALSE       FALSE   4.690931        TRUE
## 23  134  2.30040 -0.156926672     FALSE       FALSE   6.210453        TRUE
## 24  136  2.31390 -0.155448119     FALSE       FALSE   6.251470        TRUE
## 25  284  8.98296  0.574963668     FALSE       FALSE  26.514176        TRUE
## 26  285  3.84970  0.012756459     FALSE       FALSE  10.917714        TRUE
## 27  286  5.20177  0.160838477     FALSE       FALSE  15.025729        TRUE
## 28  287  4.54192  0.088570089     FALSE       FALSE  13.020897        TRUE
## 29  288  3.83684  0.011348001     FALSE       FALSE  10.878642        TRUE
## 30  289  3.67822 -0.006024450     FALSE       FALSE  10.396704        TRUE
## 31  290  4.22239  0.053574381     FALSE       FALSE  12.050064        TRUE
## 32  291  3.47428 -0.028360459     FALSE       FALSE   9.777070        TRUE
## 33  292  4.55587  0.090097927     FALSE       FALSE  13.063281        TRUE
## 34  293  3.69695 -0.003973095     FALSE       FALSE  10.453612        TRUE
## 35  294 13.52220  1.072112352     FALSE        TRUE  40.305817        TRUE
## 36  295  4.89822  0.127592938     FALSE       FALSE  14.103448        TRUE
## 37  296  6.53876  0.307268897     FALSE       FALSE  19.087926        TRUE
## 38  297  9.23230  0.602271996     FALSE        TRUE  27.271749        TRUE
## 39  298  8.26725  0.496577356     FALSE       FALSE  24.339623        TRUE
## 40  299 11.10810  0.807714206     FALSE        TRUE  32.971021        TRUE
## 41  300 18.49820  1.617096060     FALSE        TRUE  55.424473        TRUE
## 42  301 19.60910  1.738764549     FALSE        TRUE  58.799737        TRUE
## 43  302 15.28800  1.265507093     FALSE        TRUE  45.670874        TRUE
## 44  303  9.82349  0.667020573     FALSE        TRUE  29.067971        TRUE
## 45  304 23.64820  2.181136675     FALSE        TRUE  71.071796        TRUE
## 46  305 88.97620  9.336019252      TRUE        TRUE 269.558844        TRUE
## 47  306  9.18702  0.597312819     FALSE        TRUE  27.134174        TRUE
## 48  307  7.99248  0.466483872     FALSE       FALSE  23.504785        TRUE
## 49  308 24.39380  2.262796613     FALSE        TRUE  73.337163        TRUE
## 50  309 22.59710  2.066017628     FALSE        TRUE  67.878223        TRUE
## 51  310 14.33370  1.160989819     FALSE        TRUE  42.771410        TRUE
## 52  311  5.29305  0.170835687     FALSE       FALSE  15.303066        TRUE
## 53  312 11.57790  0.859167853     FALSE        TRUE  34.398421        TRUE
## 54  313  8.64476  0.537923176     FALSE       FALSE  25.486618        TRUE
## 55  314 13.35980  1.054325906     FALSE        TRUE  39.812395        TRUE
## 56  315  8.71675  0.545807697     FALSE       FALSE  25.705346        TRUE
## 57  316  5.87205  0.234249185     FALSE       FALSE  17.062251        TRUE
## 58  317  9.91655  0.677212732     FALSE        TRUE  29.350716        TRUE
## 59  318 25.04610  2.334238107     FALSE        TRUE  75.319056        TRUE
## 60  319  9.59571  0.642073549     FALSE        TRUE  28.375903        TRUE
## 61  320 24.80170  2.307470820     FALSE        TRUE  74.576492        TRUE
## 62  321 41.52920  4.139507593      TRUE        TRUE 125.399908        TRUE
## 63  322 67.92080  7.029980270      TRUE        TRUE 205.585905        TRUE
## 64  323  7.40389  0.402020054     FALSE       FALSE  21.716463        TRUE
## 65  324 51.13580  5.191645956      TRUE        TRUE 154.587786        TRUE
## 66  325 14.05070  1.129994966     FALSE        TRUE  41.911567        TRUE
## 67  326 18.81100  1.651354682     FALSE        TRUE  56.374858        TRUE
## 68  327 28.65580  2.729581293     FALSE        TRUE  86.286462        TRUE
## 69  328 45.74610  4.601352810      TRUE        TRUE 138.212179        TRUE
## 70  329 18.08460  1.571797575     FALSE        TRUE  54.167826        TRUE
## 71  330 10.83420  0.777716007     FALSE        TRUE  32.138826        TRUE
## 72  331 25.94060  2.432205938     FALSE        TRUE  78.036829        TRUE
## 73  332 73.53410  7.644762636      TRUE        TRUE 222.640879        TRUE
## 74  333 11.81230  0.884839915     FALSE        TRUE  35.110602        TRUE
## 75  334 11.08740  0.805447092     FALSE        TRUE  32.908128        TRUE
## 76  335  7.02259  0.360259144     FALSE       FALSE  20.557954        TRUE
## 77  336 12.04820  0.910676261     FALSE        TRUE  35.827341        TRUE
## 78  337  7.05042  0.363307154     FALSE       FALSE  20.642510        TRUE
## 79  338  8.79212  0.554062404     FALSE       FALSE  25.934344        TRUE
## 80  339 15.86030  1.328186791     FALSE        TRUE  47.409702        TRUE
## 81  340 12.24720  0.932471228     FALSE        TRUE  36.431965        TRUE
## 82  341 37.66190  3.715951425      TRUE        TRUE 113.649832        TRUE
## 83  342  9.33889  0.613945994     FALSE        TRUE  27.595603        TRUE
## 84  343  8.49213  0.521206764     FALSE       FALSE  25.022880        TRUE
## 85  344 10.06230  0.693175629     FALSE        TRUE  29.793551        TRUE
## 86  345  6.44405  0.296896026     FALSE       FALSE  18.800167        TRUE
## 87  346  5.58107  0.202380343     FALSE       FALSE  16.178162        TRUE
## 88  347 13.91340  1.114957534     FALSE        TRUE  41.494406        TRUE
## 89  348 11.16040  0.813442230     FALSE        TRUE  33.129925        TRUE
## 90  349 14.42080  1.170529225     FALSE        TRUE  43.036047        TRUE
## 91  350 13.67810  1.089186901     FALSE        TRUE  40.779490        TRUE
## 92  351  9.39063  0.619612685     FALSE        TRUE  27.752806        TRUE
## 93  352 22.05110  2.006218371     FALSE        TRUE  66.219303        TRUE
## 94  353  5.66637  0.211722607     FALSE       FALSE  16.437330        TRUE
## 95  354 12.80230  0.993267140     FALSE        TRUE  38.118534        TRUE
## 96  355 10.67180  0.759929562     FALSE        TRUE  31.645404        TRUE
## 97  356  6.28807  0.279812714     FALSE       FALSE  18.326251        TRUE
## 98  357  9.92485  0.678121768     FALSE        TRUE  29.375934        TRUE
## 99  358  7.52601  0.415394935     FALSE       FALSE  22.087503        TRUE
## 100 359  6.71772  0.326869035     FALSE       FALSE  19.631663        TRUE
## 101 360  5.44114  0.187054866     FALSE       FALSE  15.753011        TRUE
## 102 361  8.24809  0.494478906     FALSE       FALSE  24.281409        TRUE
## 103 362  9.51363  0.633083946     FALSE        TRUE  28.126518        TRUE
## 104 363  4.75237  0.111619089     FALSE       FALSE  13.660310        TRUE
## 105 364  4.66883  0.102469583     FALSE       FALSE  13.406489        TRUE
## 106 365  8.20058  0.489275494     FALSE       FALSE  24.137059        TRUE
## 107 366  6.80117  0.336008683     FALSE       FALSE  19.885210        TRUE
## 108 367  6.65492  0.319991025     FALSE       FALSE  19.440857        TRUE
## 109 368  7.83932  0.449709414     FALSE       FALSE  23.039437        TRUE
## 110 369  3.16360 -0.062386893     FALSE       FALSE   8.833126        TRUE
## 111 370  3.77498  0.004572942     FALSE       FALSE  10.690691        TRUE
## 112 371 15.57570  1.297016701     FALSE        TRUE  46.544997        TRUE
## 113 372 13.07510  1.023144864     FALSE        TRUE  38.947386        TRUE
## 114 373  4.34879  0.067418019     FALSE       FALSE  12.434107        TRUE
## 115 374  4.03841  0.033424441     FALSE       FALSE  11.491075        TRUE
## 116 375  3.56868 -0.018021540     FALSE       FALSE  10.063887        TRUE
## 117 376  4.64689  0.100066661     FALSE       FALSE  13.339829        TRUE
## 118 377  8.05579  0.473417739     FALSE       FALSE  23.697141        TRUE
## 119 378  6.39312  0.291318048     FALSE       FALSE  18.645426        TRUE
## 120 379  4.87141  0.124656641     FALSE       FALSE  14.021991        TRUE
## 121 380 15.02340  1.236527453     FALSE        TRUE  44.866936        TRUE
## 122 381 10.23300  0.711871111     FALSE        TRUE  30.312191        TRUE
## 123 382 14.33370  1.160989819     FALSE        TRUE  42.771410        TRUE
## 124 383  5.82401  0.228987726     FALSE       FALSE  16.916290        TRUE
## 125 384  5.70818  0.216301741     FALSE       FALSE  16.564362        TRUE
## 126 385  5.73116  0.218818567     FALSE       FALSE  16.634183        TRUE
## 127 386  2.81838 -0.100196233     FALSE       FALSE   7.784239        TRUE
## 128 387  2.37857 -0.148365302     FALSE       FALSE   6.447958        TRUE
## 129 388  3.67367 -0.006522778     FALSE       FALSE  10.382880        TRUE
## 130 389  4.83567  0.120742309     FALSE       FALSE  13.913402        TRUE
##     metodos_evaluados numero_metodos
## 1                   3              1
## 2                   3              1
## 3                   3              1
## 4                   3              1
## 5                   3              1
## 6                   3              1
## 7                   3              1
## 8                   3              1
## 9                   3              1
## 10                  3              1
## 11                  3              1
## 12                  3              1
## 13                  3              1
## 14                  3              1
## 15                  3              1
## 16                  3              1
## 17                  3              1
## 18                  3              1
## 19                  3              1
## 20                  3              1
## 21                  3              1
## 22                  3              1
## 23                  3              1
## 24                  3              1
## 25                  3              1
## 26                  3              1
## 27                  3              1
## 28                  3              1
## 29                  3              1
## 30                  3              1
## 31                  3              1
## 32                  3              1
## 33                  3              1
## 34                  3              1
## 35                  3              2
## 36                  3              1
## 37                  3              1
## 38                  3              2
## 39                  3              1
## 40                  3              2
## 41                  3              2
## 42                  3              2
## 43                  3              2
## 44                  3              2
## 45                  3              2
## 46                  3              3
## 47                  3              2
## 48                  3              1
## 49                  3              2
## 50                  3              2
## 51                  3              2
## 52                  3              1
## 53                  3              2
## 54                  3              1
## 55                  3              2
## 56                  3              1
## 57                  3              1
## 58                  3              2
## 59                  3              2
## 60                  3              2
## 61                  3              2
## 62                  3              3
## 63                  3              3
## 64                  3              1
## 65                  3              3
## 66                  3              2
## 67                  3              2
## 68                  3              2
## 69                  3              3
## 70                  3              2
## 71                  3              2
## 72                  3              2
## 73                  3              3
## 74                  3              2
## 75                  3              2
## 76                  3              1
## 77                  3              2
## 78                  3              1
## 79                  3              1
## 80                  3              2
## 81                  3              2
## 82                  3              3
## 83                  3              2
## 84                  3              1
## 85                  3              2
## 86                  3              1
## 87                  3              1
## 88                  3              2
## 89                  3              2
## 90                  3              2
## 91                  3              2
## 92                  3              2
## 93                  3              2
## 94                  3              1
## 95                  3              2
## 96                  3              2
## 97                  3              1
## 98                  3              2
## 99                  3              1
## 100                 3              1
## 101                 3              1
## 102                 3              1
## 103                 3              2
## 104                 3              1
## 105                 3              1
## 106                 3              1
## 107                 3              1
## 108                 3              1
## 109                 3              1
## 110                 3              1
## 111                 3              1
## 112                 3              2
## 113                 3              2
## 114                 3              1
## 115                 3              1
## 116                 3              1
## 117                 3              1
## 118                 3              1
## 119                 3              1
## 120                 3              1
## 121                 3              2
## 122                 3              2
## 123                 3              2
## 124                 3              1
## 125                 3              1
## 126                 3              1
## 127                 3              1
## 128                 3              1
## 129                 3              1
## 130                 3              1
## 
## ===== AL MENOS DOS MÉTODOS =====
##     ID    Valor   Z_score outlier_Z outlier_IQR Z_robusto outlier_MAD
## 1  294 13.52220 1.0721124     FALSE        TRUE  40.30582        TRUE
## 2  297  9.23230 0.6022720     FALSE        TRUE  27.27175        TRUE
## 3  299 11.10810 0.8077142     FALSE        TRUE  32.97102        TRUE
## 4  300 18.49820 1.6170961     FALSE        TRUE  55.42447        TRUE
## 5  301 19.60910 1.7387645     FALSE        TRUE  58.79974        TRUE
## 6  302 15.28800 1.2655071     FALSE        TRUE  45.67087        TRUE
## 7  303  9.82349 0.6670206     FALSE        TRUE  29.06797        TRUE
## 8  304 23.64820 2.1811367     FALSE        TRUE  71.07180        TRUE
## 9  305 88.97620 9.3360193      TRUE        TRUE 269.55884        TRUE
## 10 306  9.18702 0.5973128     FALSE        TRUE  27.13417        TRUE
## 11 308 24.39380 2.2627966     FALSE        TRUE  73.33716        TRUE
## 12 309 22.59710 2.0660176     FALSE        TRUE  67.87822        TRUE
## 13 310 14.33370 1.1609898     FALSE        TRUE  42.77141        TRUE
## 14 312 11.57790 0.8591679     FALSE        TRUE  34.39842        TRUE
## 15 314 13.35980 1.0543259     FALSE        TRUE  39.81239        TRUE
## 16 317  9.91655 0.6772127     FALSE        TRUE  29.35072        TRUE
## 17 318 25.04610 2.3342381     FALSE        TRUE  75.31906        TRUE
## 18 319  9.59571 0.6420735     FALSE        TRUE  28.37590        TRUE
## 19 320 24.80170 2.3074708     FALSE        TRUE  74.57649        TRUE
## 20 321 41.52920 4.1395076      TRUE        TRUE 125.39991        TRUE
## 21 322 67.92080 7.0299803      TRUE        TRUE 205.58590        TRUE
## 22 324 51.13580 5.1916460      TRUE        TRUE 154.58779        TRUE
## 23 325 14.05070 1.1299950     FALSE        TRUE  41.91157        TRUE
## 24 326 18.81100 1.6513547     FALSE        TRUE  56.37486        TRUE
## 25 327 28.65580 2.7295813     FALSE        TRUE  86.28646        TRUE
## 26 328 45.74610 4.6013528      TRUE        TRUE 138.21218        TRUE
## 27 329 18.08460 1.5717976     FALSE        TRUE  54.16783        TRUE
## 28 330 10.83420 0.7777160     FALSE        TRUE  32.13883        TRUE
## 29 331 25.94060 2.4322059     FALSE        TRUE  78.03683        TRUE
## 30 332 73.53410 7.6447626      TRUE        TRUE 222.64088        TRUE
## 31 333 11.81230 0.8848399     FALSE        TRUE  35.11060        TRUE
## 32 334 11.08740 0.8054471     FALSE        TRUE  32.90813        TRUE
## 33 336 12.04820 0.9106763     FALSE        TRUE  35.82734        TRUE
## 34 339 15.86030 1.3281868     FALSE        TRUE  47.40970        TRUE
## 35 340 12.24720 0.9324712     FALSE        TRUE  36.43197        TRUE
## 36 341 37.66190 3.7159514      TRUE        TRUE 113.64983        TRUE
## 37 342  9.33889 0.6139460     FALSE        TRUE  27.59560        TRUE
## 38 344 10.06230 0.6931756     FALSE        TRUE  29.79355        TRUE
## 39 347 13.91340 1.1149575     FALSE        TRUE  41.49441        TRUE
## 40 348 11.16040 0.8134422     FALSE        TRUE  33.12992        TRUE
## 41 349 14.42080 1.1705292     FALSE        TRUE  43.03605        TRUE
## 42 350 13.67810 1.0891869     FALSE        TRUE  40.77949        TRUE
## 43 351  9.39063 0.6196127     FALSE        TRUE  27.75281        TRUE
## 44 352 22.05110 2.0062184     FALSE        TRUE  66.21930        TRUE
## 45 354 12.80230 0.9932671     FALSE        TRUE  38.11853        TRUE
## 46 355 10.67180 0.7599296     FALSE        TRUE  31.64540        TRUE
## 47 357  9.92485 0.6781218     FALSE        TRUE  29.37593        TRUE
## 48 362  9.51363 0.6330839     FALSE        TRUE  28.12652        TRUE
## 49 371 15.57570 1.2970167     FALSE        TRUE  46.54500        TRUE
## 50 372 13.07510 1.0231449     FALSE        TRUE  38.94739        TRUE
## 51 380 15.02340 1.2365275     FALSE        TRUE  44.86694        TRUE
## 52 381 10.23300 0.7118711     FALSE        TRUE  30.31219        TRUE
## 53 382 14.33370 1.1609898     FALSE        TRUE  42.77141        TRUE
##    metodos_evaluados numero_metodos
## 1                  3              2
## 2                  3              2
## 3                  3              2
## 4                  3              2
## 5                  3              2
## 6                  3              2
## 7                  3              2
## 8                  3              2
## 9                  3              3
## 10                 3              2
## 11                 3              2
## 12                 3              2
## 13                 3              2
## 14                 3              2
## 15                 3              2
## 16                 3              2
## 17                 3              2
## 18                 3              2
## 19                 3              2
## 20                 3              3
## 21                 3              3
## 22                 3              3
## 23                 3              2
## 24                 3              2
## 25                 3              2
## 26                 3              3
## 27                 3              2
## 28                 3              2
## 29                 3              2
## 30                 3              3
## 31                 3              2
## 32                 3              2
## 33                 3              2
## 34                 3              2
## 35                 3              2
## 36                 3              3
## 37                 3              2
## 38                 3              2
## 39                 3              2
## 40                 3              2
## 41                 3              2
## 42                 3              2
## 43                 3              2
## 44                 3              2
## 45                 3              2
## 46                 3              2
## 47                 3              2
## 48                 3              2
## 49                 3              2
## 50                 3              2
## 51                 3              2
## 52                 3              2
## 53                 3              2
## 
## ===== LOS TRES MÉTODOS =====
##    ID   Valor  Z_score Z_robusto
## 1 305 88.9762 9.336019  269.5588
## 2 321 41.5292 4.139508  125.3999
## 3 322 67.9208 7.029980  205.5859
## 4 324 51.1358 5.191646  154.5878
## 5 328 45.7461 4.601353  138.2122
## 6 332 73.5341 7.644763  222.6409
## 7 341 37.6619 3.715951  113.6498
## 
## ================ RESUMEN ================
##  Variable        Metodo N_evaluados N_outliers Porcentaje
##      crim       Z-score         404          7       1.73
##      crim           IQR         404         53      13.12
##      crim Tukey extremo         404         23       5.69
##      crim           MAD         404        130      32.18
## Warning: No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.

## 
## ================ CLASIFICACIÓN FINAL ================
##      ID    Valor      Z_score  Z_robusto metodos_evaluados numero_metodos
## 1    24  1.61282 -0.232232118   4.121368                 3              1
## 2   109  3.32105 -0.045142584   9.311509                 3              1
## 3   110  4.09740  0.039885170  11.670305                 3              1
## 4   111  2.77974 -0.104428181   7.666839                 3              1
## 5   112  2.37934 -0.148280970   6.450297                 3              1
## 6   113  2.15505 -0.172845760   5.768834                 3              1
## 7   114  2.36862 -0.149455050   6.417727                 3              1
## 8   115  2.73397 -0.109441023   7.527775                 3              1
## 9   116  1.65660 -0.227437225   4.254386                 3              1
## 10  117  1.49632 -0.244991483   3.767404                 3              1
## 11  119  2.14918 -0.173488657   5.750999                 3              1
## 12  120  1.41385 -0.254023799   3.516835                 3              1
## 13  121  3.53501 -0.021709160   9.961587                 3              1
## 14  122  2.44668 -0.140905728   6.654898                 3              1
## 15  125  1.42502 -0.252800434   3.550773                 3              1
## 16  127  1.46336 -0.248601343   3.667262                 3              1
## 17  128  1.83377 -0.208033132   4.792684                 3              1
## 18  129  1.51902 -0.242505323   3.836374                 3              1
## 19  130  2.24236 -0.163283355   6.034109                 3              1
## 20  131  2.92400 -0.088628472   8.105146                 3              1
## 21  132  2.01019 -0.188711182   5.328703                 3              1
## 22  133  1.80028 -0.211701039   4.690931                 3              1
## 23  134  2.30040 -0.156926672   6.210453                 3              1
## 24  136  2.31390 -0.155448119   6.251470                 3              1
## 25  284  8.98296  0.574963668  26.514176                 3              1
## 26  285  3.84970  0.012756459  10.917714                 3              1
## 27  286  5.20177  0.160838477  15.025729                 3              1
## 28  287  4.54192  0.088570089  13.020897                 3              1
## 29  288  3.83684  0.011348001  10.878642                 3              1
## 30  289  3.67822 -0.006024450  10.396704                 3              1
## 31  290  4.22239  0.053574381  12.050064                 3              1
## 32  291  3.47428 -0.028360459   9.777070                 3              1
## 33  292  4.55587  0.090097927  13.063281                 3              1
## 34  293  3.69695 -0.003973095  10.453612                 3              1
## 35  294 13.52220  1.072112352  40.305817                 3              2
## 36  295  4.89822  0.127592938  14.103448                 3              1
## 37  296  6.53876  0.307268897  19.087926                 3              1
## 38  297  9.23230  0.602271996  27.271749                 3              2
## 39  298  8.26725  0.496577356  24.339623                 3              1
## 40  299 11.10810  0.807714206  32.971021                 3              2
## 41  300 18.49820  1.617096060  55.424473                 3              2
## 42  301 19.60910  1.738764549  58.799737                 3              2
## 43  302 15.28800  1.265507093  45.670874                 3              2
## 44  303  9.82349  0.667020573  29.067971                 3              2
## 45  304 23.64820  2.181136675  71.071796                 3              2
## 46  305 88.97620  9.336019252 269.558844                 3              3
## 47  306  9.18702  0.597312819  27.134174                 3              2
## 48  307  7.99248  0.466483872  23.504785                 3              1
## 49  308 24.39380  2.262796613  73.337163                 3              2
## 50  309 22.59710  2.066017628  67.878223                 3              2
## 51  310 14.33370  1.160989819  42.771410                 3              2
## 52  311  5.29305  0.170835687  15.303066                 3              1
## 53  312 11.57790  0.859167853  34.398421                 3              2
## 54  313  8.64476  0.537923176  25.486618                 3              1
## 55  314 13.35980  1.054325906  39.812395                 3              2
## 56  315  8.71675  0.545807697  25.705346                 3              1
## 57  316  5.87205  0.234249185  17.062251                 3              1
## 58  317  9.91655  0.677212732  29.350716                 3              2
## 59  318 25.04610  2.334238107  75.319056                 3              2
## 60  319  9.59571  0.642073549  28.375903                 3              2
## 61  320 24.80170  2.307470820  74.576492                 3              2
## 62  321 41.52920  4.139507593 125.399908                 3              3
## 63  322 67.92080  7.029980270 205.585905                 3              3
## 64  323  7.40389  0.402020054  21.716463                 3              1
## 65  324 51.13580  5.191645956 154.587786                 3              3
## 66  325 14.05070  1.129994966  41.911567                 3              2
## 67  326 18.81100  1.651354682  56.374858                 3              2
## 68  327 28.65580  2.729581293  86.286462                 3              2
## 69  328 45.74610  4.601352810 138.212179                 3              3
## 70  329 18.08460  1.571797575  54.167826                 3              2
## 71  330 10.83420  0.777716007  32.138826                 3              2
## 72  331 25.94060  2.432205938  78.036829                 3              2
## 73  332 73.53410  7.644762636 222.640879                 3              3
## 74  333 11.81230  0.884839915  35.110602                 3              2
## 75  334 11.08740  0.805447092  32.908128                 3              2
## 76  335  7.02259  0.360259144  20.557954                 3              1
## 77  336 12.04820  0.910676261  35.827341                 3              2
## 78  337  7.05042  0.363307154  20.642510                 3              1
## 79  338  8.79212  0.554062404  25.934344                 3              1
## 80  339 15.86030  1.328186791  47.409702                 3              2
## 81  340 12.24720  0.932471228  36.431965                 3              2
## 82  341 37.66190  3.715951425 113.649832                 3              3
## 83  342  9.33889  0.613945994  27.595603                 3              2
## 84  343  8.49213  0.521206764  25.022880                 3              1
## 85  344 10.06230  0.693175629  29.793551                 3              2
## 86  345  6.44405  0.296896026  18.800167                 3              1
## 87  346  5.58107  0.202380343  16.178162                 3              1
## 88  347 13.91340  1.114957534  41.494406                 3              2
## 89  348 11.16040  0.813442230  33.129925                 3              2
## 90  349 14.42080  1.170529225  43.036047                 3              2
## 91  350 13.67810  1.089186901  40.779490                 3              2
## 92  351  9.39063  0.619612685  27.752806                 3              2
## 93  352 22.05110  2.006218371  66.219303                 3              2
## 94  353  5.66637  0.211722607  16.437330                 3              1
## 95  354 12.80230  0.993267140  38.118534                 3              2
## 96  355 10.67180  0.759929562  31.645404                 3              2
## 97  356  6.28807  0.279812714  18.326251                 3              1
## 98  357  9.92485  0.678121768  29.375934                 3              2
## 99  358  7.52601  0.415394935  22.087503                 3              1
## 100 359  6.71772  0.326869035  19.631663                 3              1
## 101 360  5.44114  0.187054866  15.753011                 3              1
## 102 361  8.24809  0.494478906  24.281409                 3              1
## 103 362  9.51363  0.633083946  28.126518                 3              2
## 104 363  4.75237  0.111619089  13.660310                 3              1
## 105 364  4.66883  0.102469583  13.406489                 3              1
## 106 365  8.20058  0.489275494  24.137059                 3              1
## 107 366  6.80117  0.336008683  19.885210                 3              1
## 108 367  6.65492  0.319991025  19.440857                 3              1
## 109 368  7.83932  0.449709414  23.039437                 3              1
## 110 369  3.16360 -0.062386893   8.833126                 3              1
## 111 370  3.77498  0.004572942  10.690691                 3              1
## 112 371 15.57570  1.297016701  46.544997                 3              2
## 113 372 13.07510  1.023144864  38.947386                 3              2
## 114 373  4.34879  0.067418019  12.434107                 3              1
## 115 374  4.03841  0.033424441  11.491075                 3              1
## 116 375  3.56868 -0.018021540  10.063887                 3              1
## 117 376  4.64689  0.100066661  13.339829                 3              1
## 118 377  8.05579  0.473417739  23.697141                 3              1
## 119 378  6.39312  0.291318048  18.645426                 3              1
## 120 379  4.87141  0.124656641  14.021991                 3              1
## 121 380 15.02340  1.236527453  44.866936                 3              2
## 122 381 10.23300  0.711871111  30.312191                 3              2
## 123 382 14.33370  1.160989819  42.771410                 3              2
## 124 383  5.82401  0.228987726  16.916290                 3              1
## 125 384  5.70818  0.216301741  16.564362                 3              1
## 126 385  5.73116  0.218818567  16.634183                 3              1
## 127 386  2.81838 -0.100196233   7.784239                 3              1
## 128 387  2.37857 -0.148365302   6.447958                 3              1
## 129 388  3.67367 -0.006522778  10.382880                 3              1
## 130 389  4.83567  0.120742309  13.913402                 3              1
##               clasificacion
## 1    Outlier según 1 método
## 2    Outlier según 1 método
## 3    Outlier según 1 método
## 4    Outlier según 1 método
## 5    Outlier según 1 método
## 6    Outlier según 1 método
## 7    Outlier según 1 método
## 8    Outlier según 1 método
## 9    Outlier según 1 método
## 10   Outlier según 1 método
## 11   Outlier según 1 método
## 12   Outlier según 1 método
## 13   Outlier según 1 método
## 14   Outlier según 1 método
## 15   Outlier según 1 método
## 16   Outlier según 1 método
## 17   Outlier según 1 método
## 18   Outlier según 1 método
## 19   Outlier según 1 método
## 20   Outlier según 1 método
## 21   Outlier según 1 método
## 22   Outlier según 1 método
## 23   Outlier según 1 método
## 24   Outlier según 1 método
## 25   Outlier según 1 método
## 26   Outlier según 1 método
## 27   Outlier según 1 método
## 28   Outlier según 1 método
## 29   Outlier según 1 método
## 30   Outlier según 1 método
## 31   Outlier según 1 método
## 32   Outlier según 1 método
## 33   Outlier según 1 método
## 34   Outlier según 1 método
## 35  Outlier según 2 métodos
## 36   Outlier según 1 método
## 37   Outlier según 1 método
## 38  Outlier según 2 métodos
## 39   Outlier según 1 método
## 40  Outlier según 2 métodos
## 41  Outlier según 2 métodos
## 42  Outlier según 2 métodos
## 43  Outlier según 2 métodos
## 44  Outlier según 2 métodos
## 45  Outlier según 2 métodos
## 46  Outlier según 3 métodos
## 47  Outlier según 2 métodos
## 48   Outlier según 1 método
## 49  Outlier según 2 métodos
## 50  Outlier según 2 métodos
## 51  Outlier según 2 métodos
## 52   Outlier según 1 método
## 53  Outlier según 2 métodos
## 54   Outlier según 1 método
## 55  Outlier según 2 métodos
## 56   Outlier según 1 método
## 57   Outlier según 1 método
## 58  Outlier según 2 métodos
## 59  Outlier según 2 métodos
## 60  Outlier según 2 métodos
## 61  Outlier según 2 métodos
## 62  Outlier según 3 métodos
## 63  Outlier según 3 métodos
## 64   Outlier según 1 método
## 65  Outlier según 3 métodos
## 66  Outlier según 2 métodos
## 67  Outlier según 2 métodos
## 68  Outlier según 2 métodos
## 69  Outlier según 3 métodos
## 70  Outlier según 2 métodos
## 71  Outlier según 2 métodos
## 72  Outlier según 2 métodos
## 73  Outlier según 3 métodos
## 74  Outlier según 2 métodos
## 75  Outlier según 2 métodos
## 76   Outlier según 1 método
## 77  Outlier según 2 métodos
## 78   Outlier según 1 método
## 79   Outlier según 1 método
## 80  Outlier según 2 métodos
## 81  Outlier según 2 métodos
## 82  Outlier según 3 métodos
## 83  Outlier según 2 métodos
## 84   Outlier según 1 método
## 85  Outlier según 2 métodos
## 86   Outlier según 1 método
## 87   Outlier según 1 método
## 88  Outlier según 2 métodos
## 89  Outlier según 2 métodos
## 90  Outlier según 2 métodos
## 91  Outlier según 2 métodos
## 92  Outlier según 2 métodos
## 93  Outlier según 2 métodos
## 94   Outlier según 1 método
## 95  Outlier según 2 métodos
## 96  Outlier según 2 métodos
## 97   Outlier según 1 método
## 98  Outlier según 2 métodos
## 99   Outlier según 1 método
## 100  Outlier según 1 método
## 101  Outlier según 1 método
## 102  Outlier según 1 método
## 103 Outlier según 2 métodos
## 104  Outlier según 1 método
## 105  Outlier según 1 método
## 106  Outlier según 1 método
## 107  Outlier según 1 método
## 108  Outlier según 1 método
## 109  Outlier según 1 método
## 110  Outlier según 1 método
## 111  Outlier según 1 método
## 112 Outlier según 2 métodos
## 113 Outlier según 2 métodos
## 114  Outlier según 1 método
## 115  Outlier según 1 método
## 116  Outlier según 1 método
## 117  Outlier según 1 método
## 118  Outlier según 1 método
## 119  Outlier según 1 método
## 120  Outlier según 1 método
## 121 Outlier según 2 métodos
## 122 Outlier según 2 métodos
## 123 Outlier según 2 métodos
## 124  Outlier según 1 método
## 125  Outlier según 1 método
## 126  Outlier según 1 método
## 127  Outlier según 1 método
## 128  Outlier según 1 método
## 129  Outlier según 1 método
## 130  Outlier según 1 método
## 
## ========================================
##  VARIABLE: zn 
## ========================================
## 
## ================ MÉTODO Z ================
## Límite inferior = -61.004 
## Límite superior = 83.84311 
## Número de outliers = 11 
##     ID Valor  Z_score
## 1   35    90 3.255037
## 2   36    85 3.047922
## 3   37   100 3.669267
## 4  160    95 3.462152
## 5  161    95 3.462152
## 6  164    95 3.462152
## 7  206    90 3.255037
## 8  224    90 3.255037
## 9  225    90 3.255037
## 10 277    85 3.047922
## 11 281    90 3.255037
## 
## IQR nulo o indefinido: criterio no evaluado.
## 
## ================ MÉTODO IQR ================
## Q1 = 0 
## Q3 = 0 
## IQR = 0 
## Límite inferior = 0 
## Límite superior = 0 
## Número de outliers = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## =========== OUTLIERS EXTREMOS TUKEY ===========
## Límite inferior = 0 
## Límite superior = 0 
## Número de outliers extremos = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## MAD nula o indefinida: criterio no evaluado.
## 
## ================ MÉTODO MAD ================
## Mediana = 0 
## MAD = 0 
## MAD ajustada = 0 
## Número de outliers = 0 
## [1] ID        Valor     Z_robusto
## <0 rows> (o 0- extensión row.names)
## 
## ================ COMPARACIÓN ================
##      ID Valor     Z_score outlier_Z outlier_IQR outlier_extremo Z_robusto
## 1     1  18.0  0.27258170     FALSE          NA              NA        NA
## 2     2   0.0 -0.47303204     FALSE          NA              NA        NA
## 3     3   0.0 -0.47303204     FALSE          NA              NA        NA
## 4     4   0.0 -0.47303204     FALSE          NA              NA        NA
## 5     5   0.0 -0.47303204     FALSE          NA              NA        NA
## 6     6  12.5  0.04475528     FALSE          NA              NA        NA
## 7     7  12.5  0.04475528     FALSE          NA              NA        NA
## 8     8  12.5  0.04475528     FALSE          NA              NA        NA
## 9     9  12.5  0.04475528     FALSE          NA              NA        NA
## 10   10  12.5  0.04475528     FALSE          NA              NA        NA
## 11   11   0.0 -0.47303204     FALSE          NA              NA        NA
## 12   12   0.0 -0.47303204     FALSE          NA              NA        NA
## 13   13   0.0 -0.47303204     FALSE          NA              NA        NA
## 14   14   0.0 -0.47303204     FALSE          NA              NA        NA
## 15   15   0.0 -0.47303204     FALSE          NA              NA        NA
## 16   16   0.0 -0.47303204     FALSE          NA              NA        NA
## 17   17   0.0 -0.47303204     FALSE          NA              NA        NA
## 18   18   0.0 -0.47303204     FALSE          NA              NA        NA
## 19   19   0.0 -0.47303204     FALSE          NA              NA        NA
## 20   20   0.0 -0.47303204     FALSE          NA              NA        NA
## 21   21   0.0 -0.47303204     FALSE          NA              NA        NA
## 22   22   0.0 -0.47303204     FALSE          NA              NA        NA
## 23   23   0.0 -0.47303204     FALSE          NA              NA        NA
## 24   24   0.0 -0.47303204     FALSE          NA              NA        NA
## 25   25   0.0 -0.47303204     FALSE          NA              NA        NA
## 26   26   0.0 -0.47303204     FALSE          NA              NA        NA
## 27   27   0.0 -0.47303204     FALSE          NA              NA        NA
## 28   28   0.0 -0.47303204     FALSE          NA              NA        NA
## 29   29   0.0 -0.47303204     FALSE          NA              NA        NA
## 30   30   0.0 -0.47303204     FALSE          NA              NA        NA
## 31   31   0.0 -0.47303204     FALSE          NA              NA        NA
## 32   32   0.0 -0.47303204     FALSE          NA              NA        NA
## 33   33  21.0  0.39685066     FALSE          NA              NA        NA
## 34   34  75.0  2.63369188     FALSE          NA              NA        NA
## 35   35  90.0  3.25503666      TRUE          NA              NA        NA
## 36   36  85.0  3.04792173      TRUE          NA              NA        NA
## 37   37 100.0  3.66926652      TRUE          NA              NA        NA
## 38   38  25.0  0.56254260     FALSE          NA              NA        NA
## 39   39  25.0  0.56254260     FALSE          NA              NA        NA
## 40   40  25.0  0.56254260     FALSE          NA              NA        NA
## 41   41  17.5  0.25187021     FALSE          NA              NA        NA
## 42   42  80.0  2.84080681     FALSE          NA              NA        NA
## 43   43  80.0  2.84080681     FALSE          NA              NA        NA
## 44   44  12.5  0.04475528     FALSE          NA              NA        NA
## 45   45  12.5  0.04475528     FALSE          NA              NA        NA
## 46   46   0.0 -0.47303204     FALSE          NA              NA        NA
## 47   47   0.0 -0.47303204     FALSE          NA              NA        NA
## 48   48   0.0 -0.47303204     FALSE          NA              NA        NA
## 49   49   0.0 -0.47303204     FALSE          NA              NA        NA
## 50   50   0.0 -0.47303204     FALSE          NA              NA        NA
## 51   51   0.0 -0.47303204     FALSE          NA              NA        NA
## 52   52   0.0 -0.47303204     FALSE          NA              NA        NA
## 53   53   0.0 -0.47303204     FALSE          NA              NA        NA
## 54   54  25.0  0.56254260     FALSE          NA              NA        NA
## 55   55  25.0  0.56254260     FALSE          NA              NA        NA
## 56   56  25.0  0.56254260     FALSE          NA              NA        NA
## 57   57   0.0 -0.47303204     FALSE          NA              NA        NA
## 58   58   0.0 -0.47303204     FALSE          NA              NA        NA
## 59   59   0.0 -0.47303204     FALSE          NA              NA        NA
## 60   60   0.0 -0.47303204     FALSE          NA              NA        NA
## 61   61   0.0 -0.47303204     FALSE          NA              NA        NA
## 62   62   0.0 -0.47303204     FALSE          NA              NA        NA
## 63   63   0.0 -0.47303204     FALSE          NA              NA        NA
## 64   64   0.0 -0.47303204     FALSE          NA              NA        NA
## 65   65  28.0  0.68681156     FALSE          NA              NA        NA
## 66   66  28.0  0.68681156     FALSE          NA              NA        NA
## 67   67  28.0  0.68681156     FALSE          NA              NA        NA
## 68   68   0.0 -0.47303204     FALSE          NA              NA        NA
## 69   69   0.0 -0.47303204     FALSE          NA              NA        NA
## 70   70   0.0 -0.47303204     FALSE          NA              NA        NA
## 71   71   0.0 -0.47303204     FALSE          NA              NA        NA
## 72   72   0.0 -0.47303204     FALSE          NA              NA        NA
## 73   73   0.0 -0.47303204     FALSE          NA              NA        NA
## 74   74   0.0 -0.47303204     FALSE          NA              NA        NA
## 75   75   0.0 -0.47303204     FALSE          NA              NA        NA
## 76   76   0.0 -0.47303204     FALSE          NA              NA        NA
## 77   77   0.0 -0.47303204     FALSE          NA              NA        NA
## 78   78   0.0 -0.47303204     FALSE          NA              NA        NA
## 79   79   0.0 -0.47303204     FALSE          NA              NA        NA
## 80   80   0.0 -0.47303204     FALSE          NA              NA        NA
## 81   81   0.0 -0.47303204     FALSE          NA              NA        NA
## 82   82   0.0 -0.47303204     FALSE          NA              NA        NA
## 83   83   0.0 -0.47303204     FALSE          NA              NA        NA
## 84   84   0.0 -0.47303204     FALSE          NA              NA        NA
## 85   85   0.0 -0.47303204     FALSE          NA              NA        NA
## 86   86   0.0 -0.47303204     FALSE          NA              NA        NA
## 87   87   0.0 -0.47303204     FALSE          NA              NA        NA
## 88   88   0.0 -0.47303204     FALSE          NA              NA        NA
## 89   89   0.0 -0.47303204     FALSE          NA              NA        NA
## 90   90   0.0 -0.47303204     FALSE          NA              NA        NA
## 91   91   0.0 -0.47303204     FALSE          NA              NA        NA
## 92   92   0.0 -0.47303204     FALSE          NA              NA        NA
## 93   93   0.0 -0.47303204     FALSE          NA              NA        NA
## 94   94   0.0 -0.47303204     FALSE          NA              NA        NA
## 95   95   0.0 -0.47303204     FALSE          NA              NA        NA
## 96   96   0.0 -0.47303204     FALSE          NA              NA        NA
## 97   97   0.0 -0.47303204     FALSE          NA              NA        NA
## 98   98   0.0 -0.47303204     FALSE          NA              NA        NA
## 99   99   0.0 -0.47303204     FALSE          NA              NA        NA
## 100 100   0.0 -0.47303204     FALSE          NA              NA        NA
## 101 101   0.0 -0.47303204     FALSE          NA              NA        NA
## 102 102   0.0 -0.47303204     FALSE          NA              NA        NA
## 103 103   0.0 -0.47303204     FALSE          NA              NA        NA
## 104 104   0.0 -0.47303204     FALSE          NA              NA        NA
## 105 105   0.0 -0.47303204     FALSE          NA              NA        NA
## 106 106   0.0 -0.47303204     FALSE          NA              NA        NA
## 107 107   0.0 -0.47303204     FALSE          NA              NA        NA
## 108 108   0.0 -0.47303204     FALSE          NA              NA        NA
## 109 109   0.0 -0.47303204     FALSE          NA              NA        NA
## 110 110   0.0 -0.47303204     FALSE          NA              NA        NA
## 111 111   0.0 -0.47303204     FALSE          NA              NA        NA
## 112 112   0.0 -0.47303204     FALSE          NA              NA        NA
## 113 113   0.0 -0.47303204     FALSE          NA              NA        NA
## 114 114   0.0 -0.47303204     FALSE          NA              NA        NA
## 115 115   0.0 -0.47303204     FALSE          NA              NA        NA
## 116 116   0.0 -0.47303204     FALSE          NA              NA        NA
## 117 117   0.0 -0.47303204     FALSE          NA              NA        NA
## 118 118   0.0 -0.47303204     FALSE          NA              NA        NA
## 119 119   0.0 -0.47303204     FALSE          NA              NA        NA
## 120 120   0.0 -0.47303204     FALSE          NA              NA        NA
## 121 121   0.0 -0.47303204     FALSE          NA              NA        NA
## 122 122   0.0 -0.47303204     FALSE          NA              NA        NA
## 123 123   0.0 -0.47303204     FALSE          NA              NA        NA
## 124 124   0.0 -0.47303204     FALSE          NA              NA        NA
## 125 125   0.0 -0.47303204     FALSE          NA              NA        NA
## 126 126   0.0 -0.47303204     FALSE          NA              NA        NA
## 127 127   0.0 -0.47303204     FALSE          NA              NA        NA
## 128 128   0.0 -0.47303204     FALSE          NA              NA        NA
## 129 129   0.0 -0.47303204     FALSE          NA              NA        NA
## 130 130   0.0 -0.47303204     FALSE          NA              NA        NA
## 131 131   0.0 -0.47303204     FALSE          NA              NA        NA
## 132 132   0.0 -0.47303204     FALSE          NA              NA        NA
## 133 133   0.0 -0.47303204     FALSE          NA              NA        NA
## 134 134   0.0 -0.47303204     FALSE          NA              NA        NA
## 135 135   0.0 -0.47303204     FALSE          NA              NA        NA
## 136 136   0.0 -0.47303204     FALSE          NA              NA        NA
## 137 137   0.0 -0.47303204     FALSE          NA              NA        NA
## 138 138   0.0 -0.47303204     FALSE          NA              NA        NA
## 139 139   0.0 -0.47303204     FALSE          NA              NA        NA
## 140 140   0.0 -0.47303204     FALSE          NA              NA        NA
## 141 141   0.0 -0.47303204     FALSE          NA              NA        NA
## 142 142   0.0 -0.47303204     FALSE          NA              NA        NA
## 143 143   0.0 -0.47303204     FALSE          NA              NA        NA
## 144 144   0.0 -0.47303204     FALSE          NA              NA        NA
## 145 145   0.0 -0.47303204     FALSE          NA              NA        NA
## 146 146   0.0 -0.47303204     FALSE          NA              NA        NA
## 147 147   0.0 -0.47303204     FALSE          NA              NA        NA
## 148 148  45.0  1.39100231     FALSE          NA              NA        NA
## 149 149  45.0  1.39100231     FALSE          NA              NA        NA
## 150 150  45.0  1.39100231     FALSE          NA              NA        NA
## 151 151  45.0  1.39100231     FALSE          NA              NA        NA
## 152 152  45.0  1.39100231     FALSE          NA              NA        NA
## 153 153  45.0  1.39100231     FALSE          NA              NA        NA
## 154 154  60.0  2.01234709     FALSE          NA              NA        NA
## 155 155  60.0  2.01234709     FALSE          NA              NA        NA
## 156 156  80.0  2.84080681     FALSE          NA              NA        NA
## 157 157  80.0  2.84080681     FALSE          NA              NA        NA
## 158 158  80.0  2.84080681     FALSE          NA              NA        NA
## 159 159  80.0  2.84080681     FALSE          NA              NA        NA
## 160 160  95.0  3.46215159      TRUE          NA              NA        NA
## 161 161  95.0  3.46215159      TRUE          NA              NA        NA
## 162 162  82.5  2.94436427     FALSE          NA              NA        NA
## 163 163  82.5  2.94436427     FALSE          NA              NA        NA
## 164 164  95.0  3.46215159      TRUE          NA              NA        NA
## 165 165   0.0 -0.47303204     FALSE          NA              NA        NA
## 166 166   0.0 -0.47303204     FALSE          NA              NA        NA
## 167 167   0.0 -0.47303204     FALSE          NA              NA        NA
## 168 168   0.0 -0.47303204     FALSE          NA              NA        NA
## 169 169   0.0 -0.47303204     FALSE          NA              NA        NA
## 170 170   0.0 -0.47303204     FALSE          NA              NA        NA
## 171 171   0.0 -0.47303204     FALSE          NA              NA        NA
## 172 172   0.0 -0.47303204     FALSE          NA              NA        NA
## 173 173   0.0 -0.47303204     FALSE          NA              NA        NA
## 174 174   0.0 -0.47303204     FALSE          NA              NA        NA
## 175 175   0.0 -0.47303204     FALSE          NA              NA        NA
## 176 176   0.0 -0.47303204     FALSE          NA              NA        NA
## 177 177   0.0 -0.47303204     FALSE          NA              NA        NA
## 178 178   0.0 -0.47303204     FALSE          NA              NA        NA
## 179 179   0.0 -0.47303204     FALSE          NA              NA        NA
## 180 180   0.0 -0.47303204     FALSE          NA              NA        NA
## 181 181   0.0 -0.47303204     FALSE          NA              NA        NA
## 182 182   0.0 -0.47303204     FALSE          NA              NA        NA
## 183 183   0.0 -0.47303204     FALSE          NA              NA        NA
## 184 184   0.0 -0.47303204     FALSE          NA              NA        NA
## 185 185   0.0 -0.47303204     FALSE          NA              NA        NA
## 186 186   0.0 -0.47303204     FALSE          NA              NA        NA
## 187 187   0.0 -0.47303204     FALSE          NA              NA        NA
## 188 188   0.0 -0.47303204     FALSE          NA              NA        NA
## 189 189   0.0 -0.47303204     FALSE          NA              NA        NA
## 190 190   0.0 -0.47303204     FALSE          NA              NA        NA
## 191 191   0.0 -0.47303204     FALSE          NA              NA        NA
## 192 192  30.0  0.76965753     FALSE          NA              NA        NA
## 193 193  30.0  0.76965753     FALSE          NA              NA        NA
## 194 194  30.0  0.76965753     FALSE          NA              NA        NA
## 195 195  30.0  0.76965753     FALSE          NA              NA        NA
## 196 196  30.0  0.76965753     FALSE          NA              NA        NA
## 197 197  22.0  0.43827364     FALSE          NA              NA        NA
## 198 198  22.0  0.43827364     FALSE          NA              NA        NA
## 199 199  22.0  0.43827364     FALSE          NA              NA        NA
## 200 200  22.0  0.43827364     FALSE          NA              NA        NA
## 201 201  22.0  0.43827364     FALSE          NA              NA        NA
## 202 202  22.0  0.43827364     FALSE          NA              NA        NA
## 203 203  22.0  0.43827364     FALSE          NA              NA        NA
## 204 204  80.0  2.84080681     FALSE          NA              NA        NA
## 205 205  80.0  2.84080681     FALSE          NA              NA        NA
## 206 206  90.0  3.25503666      TRUE          NA              NA        NA
## 207 207  20.0  0.35542767     FALSE          NA              NA        NA
## 208 208  20.0  0.35542767     FALSE          NA              NA        NA
## 209 209  20.0  0.35542767     FALSE          NA              NA        NA
## 210 210  20.0  0.35542767     FALSE          NA              NA        NA
## 211 211  20.0  0.35542767     FALSE          NA              NA        NA
## 212 212  20.0  0.35542767     FALSE          NA              NA        NA
## 213 213  20.0  0.35542767     FALSE          NA              NA        NA
## 214 214  20.0  0.35542767     FALSE          NA              NA        NA
## 215 215  20.0  0.35542767     FALSE          NA              NA        NA
## 216 216  20.0  0.35542767     FALSE          NA              NA        NA
## 217 217  20.0  0.35542767     FALSE          NA              NA        NA
## 218 218  40.0  1.18388738     FALSE          NA              NA        NA
## 219 219  40.0  1.18388738     FALSE          NA              NA        NA
## 220 220  40.0  1.18388738     FALSE          NA              NA        NA
## 221 221  20.0  0.35542767     FALSE          NA              NA        NA
## 222 222  20.0  0.35542767     FALSE          NA              NA        NA
## 223 223  20.0  0.35542767     FALSE          NA              NA        NA
## 224 224  90.0  3.25503666      TRUE          NA              NA        NA
## 225 225  90.0  3.25503666      TRUE          NA              NA        NA
## 226 226  55.0  1.80523217     FALSE          NA              NA        NA
## 227 227  80.0  2.84080681     FALSE          NA              NA        NA
## 228 228  52.5  1.70167470     FALSE          NA              NA        NA
## 229 229  52.5  1.70167470     FALSE          NA              NA        NA
## 230 230  52.5  1.70167470     FALSE          NA              NA        NA
## 231 231  80.0  2.84080681     FALSE          NA              NA        NA
## 232 232  80.0  2.84080681     FALSE          NA              NA        NA
## 233 233  80.0  2.84080681     FALSE          NA              NA        NA
## 234 234   0.0 -0.47303204     FALSE          NA              NA        NA
## 235 235   0.0 -0.47303204     FALSE          NA              NA        NA
## 236 236   0.0 -0.47303204     FALSE          NA              NA        NA
## 237 237  70.0  2.42657695     FALSE          NA              NA        NA
## 238 238  34.0  0.93534947     FALSE          NA              NA        NA
## 239 239  34.0  0.93534947     FALSE          NA              NA        NA
## 240 240  33.0  0.89392648     FALSE          NA              NA        NA
## 241 241  33.0  0.89392648     FALSE          NA              NA        NA
## 242 242   0.0 -0.47303204     FALSE          NA              NA        NA
## 243 243   0.0 -0.47303204     FALSE          NA              NA        NA
## 244 244   0.0 -0.47303204     FALSE          NA              NA        NA
## 245 245   0.0 -0.47303204     FALSE          NA              NA        NA
## 246 246   0.0 -0.47303204     FALSE          NA              NA        NA
## 247 247   0.0 -0.47303204     FALSE          NA              NA        NA
## 248 248   0.0 -0.47303204     FALSE          NA              NA        NA
## 249 249   0.0 -0.47303204     FALSE          NA              NA        NA
## 250 250   0.0 -0.47303204     FALSE          NA              NA        NA
## 251 251   0.0 -0.47303204     FALSE          NA              NA        NA
## 252 252   0.0 -0.47303204     FALSE          NA              NA        NA
## 253 253   0.0 -0.47303204     FALSE          NA              NA        NA
## 254 254   0.0 -0.47303204     FALSE          NA              NA        NA
## 255 255   0.0 -0.47303204     FALSE          NA              NA        NA
## 256 256   0.0 -0.47303204     FALSE          NA              NA        NA
## 257 257   0.0 -0.47303204     FALSE          NA              NA        NA
## 258 258   0.0 -0.47303204     FALSE          NA              NA        NA
## 259 259   0.0 -0.47303204     FALSE          NA              NA        NA
## 260 260   0.0 -0.47303204     FALSE          NA              NA        NA
## 261 261   0.0 -0.47303204     FALSE          NA              NA        NA
## 262 262   0.0 -0.47303204     FALSE          NA              NA        NA
## 263 263  35.0  0.97677246     FALSE          NA              NA        NA
## 264 264   0.0 -0.47303204     FALSE          NA              NA        NA
## 265 265   0.0 -0.47303204     FALSE          NA              NA        NA
## 266 266   0.0 -0.47303204     FALSE          NA              NA        NA
## 267 267   0.0 -0.47303204     FALSE          NA              NA        NA
## 268 268   0.0 -0.47303204     FALSE          NA              NA        NA
## 269 269   0.0 -0.47303204     FALSE          NA              NA        NA
## 270 270   0.0 -0.47303204     FALSE          NA              NA        NA
## 271 271  35.0  0.97677246     FALSE          NA              NA        NA
## 272 272   0.0 -0.47303204     FALSE          NA              NA        NA
## 273 273  55.0  1.80523217     FALSE          NA              NA        NA
## 274 274  55.0  1.80523217     FALSE          NA              NA        NA
## 275 275   0.0 -0.47303204     FALSE          NA              NA        NA
## 276 276   0.0 -0.47303204     FALSE          NA              NA        NA
## 277 277  85.0  3.04792173      TRUE          NA              NA        NA
## 278 278  80.0  2.84080681     FALSE          NA              NA        NA
## 279 279  40.0  1.18388738     FALSE          NA              NA        NA
## 280 280  60.0  2.01234709     FALSE          NA              NA        NA
## 281 281  90.0  3.25503666      TRUE          NA              NA        NA
## 282 282  80.0  2.84080681     FALSE          NA              NA        NA
## 283 283  80.0  2.84080681     FALSE          NA              NA        NA
## 284 284   0.0 -0.47303204     FALSE          NA              NA        NA
## 285 285   0.0 -0.47303204     FALSE          NA              NA        NA
## 286 286   0.0 -0.47303204     FALSE          NA              NA        NA
## 287 287   0.0 -0.47303204     FALSE          NA              NA        NA
## 288 288   0.0 -0.47303204     FALSE          NA              NA        NA
## 289 289   0.0 -0.47303204     FALSE          NA              NA        NA
## 290 290   0.0 -0.47303204     FALSE          NA              NA        NA
## 291 291   0.0 -0.47303204     FALSE          NA              NA        NA
## 292 292   0.0 -0.47303204     FALSE          NA              NA        NA
## 293 293   0.0 -0.47303204     FALSE          NA              NA        NA
## 294 294   0.0 -0.47303204     FALSE          NA              NA        NA
## 295 295   0.0 -0.47303204     FALSE          NA              NA        NA
## 296 296   0.0 -0.47303204     FALSE          NA              NA        NA
## 297 297   0.0 -0.47303204     FALSE          NA              NA        NA
## 298 298   0.0 -0.47303204     FALSE          NA              NA        NA
## 299 299   0.0 -0.47303204     FALSE          NA              NA        NA
## 300 300   0.0 -0.47303204     FALSE          NA              NA        NA
## 301 301   0.0 -0.47303204     FALSE          NA              NA        NA
## 302 302   0.0 -0.47303204     FALSE          NA              NA        NA
## 303 303   0.0 -0.47303204     FALSE          NA              NA        NA
## 304 304   0.0 -0.47303204     FALSE          NA              NA        NA
## 305 305   0.0 -0.47303204     FALSE          NA              NA        NA
## 306 306   0.0 -0.47303204     FALSE          NA              NA        NA
## 307 307   0.0 -0.47303204     FALSE          NA              NA        NA
## 308 308   0.0 -0.47303204     FALSE          NA              NA        NA
## 309 309   0.0 -0.47303204     FALSE          NA              NA        NA
## 310 310   0.0 -0.47303204     FALSE          NA              NA        NA
## 311 311   0.0 -0.47303204     FALSE          NA              NA        NA
## 312 312   0.0 -0.47303204     FALSE          NA              NA        NA
## 313 313   0.0 -0.47303204     FALSE          NA              NA        NA
## 314 314   0.0 -0.47303204     FALSE          NA              NA        NA
## 315 315   0.0 -0.47303204     FALSE          NA              NA        NA
## 316 316   0.0 -0.47303204     FALSE          NA              NA        NA
## 317 317   0.0 -0.47303204     FALSE          NA              NA        NA
## 318 318   0.0 -0.47303204     FALSE          NA              NA        NA
## 319 319   0.0 -0.47303204     FALSE          NA              NA        NA
## 320 320   0.0 -0.47303204     FALSE          NA              NA        NA
## 321 321   0.0 -0.47303204     FALSE          NA              NA        NA
## 322 322   0.0 -0.47303204     FALSE          NA              NA        NA
## 323 323   0.0 -0.47303204     FALSE          NA              NA        NA
## 324 324   0.0 -0.47303204     FALSE          NA              NA        NA
## 325 325   0.0 -0.47303204     FALSE          NA              NA        NA
## 326 326   0.0 -0.47303204     FALSE          NA              NA        NA
## 327 327   0.0 -0.47303204     FALSE          NA              NA        NA
## 328 328   0.0 -0.47303204     FALSE          NA              NA        NA
## 329 329   0.0 -0.47303204     FALSE          NA              NA        NA
## 330 330   0.0 -0.47303204     FALSE          NA              NA        NA
## 331 331   0.0 -0.47303204     FALSE          NA              NA        NA
## 332 332   0.0 -0.47303204     FALSE          NA              NA        NA
## 333 333   0.0 -0.47303204     FALSE          NA              NA        NA
## 334 334   0.0 -0.47303204     FALSE          NA              NA        NA
## 335 335   0.0 -0.47303204     FALSE          NA              NA        NA
## 336 336   0.0 -0.47303204     FALSE          NA              NA        NA
## 337 337   0.0 -0.47303204     FALSE          NA              NA        NA
## 338 338   0.0 -0.47303204     FALSE          NA              NA        NA
## 339 339   0.0 -0.47303204     FALSE          NA              NA        NA
## 340 340   0.0 -0.47303204     FALSE          NA              NA        NA
## 341 341   0.0 -0.47303204     FALSE          NA              NA        NA
## 342 342   0.0 -0.47303204     FALSE          NA              NA        NA
## 343 343   0.0 -0.47303204     FALSE          NA              NA        NA
## 344 344   0.0 -0.47303204     FALSE          NA              NA        NA
## 345 345   0.0 -0.47303204     FALSE          NA              NA        NA
## 346 346   0.0 -0.47303204     FALSE          NA              NA        NA
## 347 347   0.0 -0.47303204     FALSE          NA              NA        NA
## 348 348   0.0 -0.47303204     FALSE          NA              NA        NA
## 349 349   0.0 -0.47303204     FALSE          NA              NA        NA
## 350 350   0.0 -0.47303204     FALSE          NA              NA        NA
## 351 351   0.0 -0.47303204     FALSE          NA              NA        NA
## 352 352   0.0 -0.47303204     FALSE          NA              NA        NA
## 353 353   0.0 -0.47303204     FALSE          NA              NA        NA
## 354 354   0.0 -0.47303204     FALSE          NA              NA        NA
## 355 355   0.0 -0.47303204     FALSE          NA              NA        NA
## 356 356   0.0 -0.47303204     FALSE          NA              NA        NA
## 357 357   0.0 -0.47303204     FALSE          NA              NA        NA
## 358 358   0.0 -0.47303204     FALSE          NA              NA        NA
## 359 359   0.0 -0.47303204     FALSE          NA              NA        NA
## 360 360   0.0 -0.47303204     FALSE          NA              NA        NA
## 361 361   0.0 -0.47303204     FALSE          NA              NA        NA
## 362 362   0.0 -0.47303204     FALSE          NA              NA        NA
## 363 363   0.0 -0.47303204     FALSE          NA              NA        NA
## 364 364   0.0 -0.47303204     FALSE          NA              NA        NA
## 365 365   0.0 -0.47303204     FALSE          NA              NA        NA
## 366 366   0.0 -0.47303204     FALSE          NA              NA        NA
## 367 367   0.0 -0.47303204     FALSE          NA              NA        NA
## 368 368   0.0 -0.47303204     FALSE          NA              NA        NA
## 369 369   0.0 -0.47303204     FALSE          NA              NA        NA
## 370 370   0.0 -0.47303204     FALSE          NA              NA        NA
## 371 371   0.0 -0.47303204     FALSE          NA              NA        NA
## 372 372   0.0 -0.47303204     FALSE          NA              NA        NA
## 373 373   0.0 -0.47303204     FALSE          NA              NA        NA
## 374 374   0.0 -0.47303204     FALSE          NA              NA        NA
## 375 375   0.0 -0.47303204     FALSE          NA              NA        NA
## 376 376   0.0 -0.47303204     FALSE          NA              NA        NA
## 377 377   0.0 -0.47303204     FALSE          NA              NA        NA
## 378 378   0.0 -0.47303204     FALSE          NA              NA        NA
## 379 379   0.0 -0.47303204     FALSE          NA              NA        NA
## 380 380   0.0 -0.47303204     FALSE          NA              NA        NA
## 381 381   0.0 -0.47303204     FALSE          NA              NA        NA
## 382 382   0.0 -0.47303204     FALSE          NA              NA        NA
## 383 383   0.0 -0.47303204     FALSE          NA              NA        NA
## 384 384   0.0 -0.47303204     FALSE          NA              NA        NA
## 385 385   0.0 -0.47303204     FALSE          NA              NA        NA
## 386 386   0.0 -0.47303204     FALSE          NA              NA        NA
## 387 387   0.0 -0.47303204     FALSE          NA              NA        NA
## 388 388   0.0 -0.47303204     FALSE          NA              NA        NA
## 389 389   0.0 -0.47303204     FALSE          NA              NA        NA
## 390 390   0.0 -0.47303204     FALSE          NA              NA        NA
## 391 391   0.0 -0.47303204     FALSE          NA              NA        NA
## 392 392   0.0 -0.47303204     FALSE          NA              NA        NA
## 393 393   0.0 -0.47303204     FALSE          NA              NA        NA
## 394 394   0.0 -0.47303204     FALSE          NA              NA        NA
## 395 395   0.0 -0.47303204     FALSE          NA              NA        NA
## 396 396   0.0 -0.47303204     FALSE          NA              NA        NA
## 397 397   0.0 -0.47303204     FALSE          NA              NA        NA
## 398 398   0.0 -0.47303204     FALSE          NA              NA        NA
## 399 399   0.0 -0.47303204     FALSE          NA              NA        NA
## 400 400   0.0 -0.47303204     FALSE          NA              NA        NA
## 401 401   0.0 -0.47303204     FALSE          NA              NA        NA
## 402 402   0.0 -0.47303204     FALSE          NA              NA        NA
## 403 403   0.0 -0.47303204     FALSE          NA              NA        NA
## 404 404   0.0 -0.47303204     FALSE          NA              NA        NA
##     outlier_MAD
## 1            NA
## 2            NA
## 3            NA
## 4            NA
## 5            NA
## 6            NA
## 7            NA
## 8            NA
## 9            NA
## 10           NA
## 11           NA
## 12           NA
## 13           NA
## 14           NA
## 15           NA
## 16           NA
## 17           NA
## 18           NA
## 19           NA
## 20           NA
## 21           NA
## 22           NA
## 23           NA
## 24           NA
## 25           NA
## 26           NA
## 27           NA
## 28           NA
## 29           NA
## 30           NA
## 31           NA
## 32           NA
## 33           NA
## 34           NA
## 35           NA
## 36           NA
## 37           NA
## 38           NA
## 39           NA
## 40           NA
## 41           NA
## 42           NA
## 43           NA
## 44           NA
## 45           NA
## 46           NA
## 47           NA
## 48           NA
## 49           NA
## 50           NA
## 51           NA
## 52           NA
## 53           NA
## 54           NA
## 55           NA
## 56           NA
## 57           NA
## 58           NA
## 59           NA
## 60           NA
## 61           NA
## 62           NA
## 63           NA
## 64           NA
## 65           NA
## 66           NA
## 67           NA
## 68           NA
## 69           NA
## 70           NA
## 71           NA
## 72           NA
## 73           NA
## 74           NA
## 75           NA
## 76           NA
## 77           NA
## 78           NA
## 79           NA
## 80           NA
## 81           NA
## 82           NA
## 83           NA
## 84           NA
## 85           NA
## 86           NA
## 87           NA
## 88           NA
## 89           NA
## 90           NA
## 91           NA
## 92           NA
## 93           NA
## 94           NA
## 95           NA
## 96           NA
## 97           NA
## 98           NA
## 99           NA
## 100          NA
## 101          NA
## 102          NA
## 103          NA
## 104          NA
## 105          NA
## 106          NA
## 107          NA
## 108          NA
## 109          NA
## 110          NA
## 111          NA
## 112          NA
## 113          NA
## 114          NA
## 115          NA
## 116          NA
## 117          NA
## 118          NA
## 119          NA
## 120          NA
## 121          NA
## 122          NA
## 123          NA
## 124          NA
## 125          NA
## 126          NA
## 127          NA
## 128          NA
## 129          NA
## 130          NA
## 131          NA
## 132          NA
## 133          NA
## 134          NA
## 135          NA
## 136          NA
## 137          NA
## 138          NA
## 139          NA
## 140          NA
## 141          NA
## 142          NA
## 143          NA
## 144          NA
## 145          NA
## 146          NA
## 147          NA
## 148          NA
## 149          NA
## 150          NA
## 151          NA
## 152          NA
## 153          NA
## 154          NA
## 155          NA
## 156          NA
## 157          NA
## 158          NA
## 159          NA
## 160          NA
## 161          NA
## 162          NA
## 163          NA
## 164          NA
## 165          NA
## 166          NA
## 167          NA
## 168          NA
## 169          NA
## 170          NA
## 171          NA
## 172          NA
## 173          NA
## 174          NA
## 175          NA
## 176          NA
## 177          NA
## 178          NA
## 179          NA
## 180          NA
## 181          NA
## 182          NA
## 183          NA
## 184          NA
## 185          NA
## 186          NA
## 187          NA
## 188          NA
## 189          NA
## 190          NA
## 191          NA
## 192          NA
## 193          NA
## 194          NA
## 195          NA
## 196          NA
## 197          NA
## 198          NA
## 199          NA
## 200          NA
## 201          NA
## 202          NA
## 203          NA
## 204          NA
## 205          NA
## 206          NA
## 207          NA
## 208          NA
## 209          NA
## 210          NA
## 211          NA
## 212          NA
## 213          NA
## 214          NA
## 215          NA
## 216          NA
## 217          NA
## 218          NA
## 219          NA
## 220          NA
## 221          NA
## 222          NA
## 223          NA
## 224          NA
## 225          NA
## 226          NA
## 227          NA
## 228          NA
## 229          NA
## 230          NA
## 231          NA
## 232          NA
## 233          NA
## 234          NA
## 235          NA
## 236          NA
## 237          NA
## 238          NA
## 239          NA
## 240          NA
## 241          NA
## 242          NA
## 243          NA
## 244          NA
## 245          NA
## 246          NA
## 247          NA
## 248          NA
## 249          NA
## 250          NA
## 251          NA
## 252          NA
## 253          NA
## 254          NA
## 255          NA
## 256          NA
## 257          NA
## 258          NA
## 259          NA
## 260          NA
## 261          NA
## 262          NA
## 263          NA
## 264          NA
## 265          NA
## 266          NA
## 267          NA
## 268          NA
## 269          NA
## 270          NA
## 271          NA
## 272          NA
## 273          NA
## 274          NA
## 275          NA
## 276          NA
## 277          NA
## 278          NA
## 279          NA
## 280          NA
## 281          NA
## 282          NA
## 283          NA
## 284          NA
## 285          NA
## 286          NA
## 287          NA
## 288          NA
## 289          NA
## 290          NA
## 291          NA
## 292          NA
## 293          NA
## 294          NA
## 295          NA
## 296          NA
## 297          NA
## 298          NA
## 299          NA
## 300          NA
## 301          NA
## 302          NA
## 303          NA
## 304          NA
## 305          NA
## 306          NA
## 307          NA
## 308          NA
## 309          NA
## 310          NA
## 311          NA
## 312          NA
## 313          NA
## 314          NA
## 315          NA
## 316          NA
## 317          NA
## 318          NA
## 319          NA
## 320          NA
## 321          NA
## 322          NA
## 323          NA
## 324          NA
## 325          NA
## 326          NA
## 327          NA
## 328          NA
## 329          NA
## 330          NA
## 331          NA
## 332          NA
## 333          NA
## 334          NA
## 335          NA
## 336          NA
## 337          NA
## 338          NA
## 339          NA
## 340          NA
## 341          NA
## 342          NA
## 343          NA
## 344          NA
## 345          NA
## 346          NA
## 347          NA
## 348          NA
## 349          NA
## 350          NA
## 351          NA
## 352          NA
## 353          NA
## 354          NA
## 355          NA
## 356          NA
## 357          NA
## 358          NA
## 359          NA
## 360          NA
## 361          NA
## 362          NA
## 363          NA
## 364          NA
## 365          NA
## 366          NA
## 367          NA
## 368          NA
## 369          NA
## 370          NA
## 371          NA
## 372          NA
## 373          NA
## 374          NA
## 375          NA
## 376          NA
## 377          NA
## 378          NA
## 379          NA
## 380          NA
## 381          NA
## 382          NA
## 383          NA
## 384          NA
## 385          NA
## 386          NA
## 387          NA
## 388          NA
## 389          NA
## 390          NA
## 391          NA
## 392          NA
## 393          NA
## 394          NA
## 395          NA
## 396          NA
## 397          NA
## 398          NA
## 399          NA
## 400          NA
## 401          NA
## 402          NA
## 403          NA
## 404          NA
## 
## ===== AL MENOS UN MÉTODO =====
##     ID Valor  Z_score outlier_Z outlier_IQR Z_robusto outlier_MAD
## 1   35    90 3.255037      TRUE          NA        NA          NA
## 2   36    85 3.047922      TRUE          NA        NA          NA
## 3   37   100 3.669267      TRUE          NA        NA          NA
## 4  160    95 3.462152      TRUE          NA        NA          NA
## 5  161    95 3.462152      TRUE          NA        NA          NA
## 6  164    95 3.462152      TRUE          NA        NA          NA
## 7  206    90 3.255037      TRUE          NA        NA          NA
## 8  224    90 3.255037      TRUE          NA        NA          NA
## 9  225    90 3.255037      TRUE          NA        NA          NA
## 10 277    85 3.047922      TRUE          NA        NA          NA
## 11 281    90 3.255037      TRUE          NA        NA          NA
##    metodos_evaluados numero_metodos
## 1                  1              1
## 2                  1              1
## 3                  1              1
## 4                  1              1
## 5                  1              1
## 6                  1              1
## 7                  1              1
## 8                  1              1
## 9                  1              1
## 10                 1              1
## 11                 1              1
## 
## ===== AL MENOS DOS MÉTODOS =====
## [1] ID                Valor             Z_score           outlier_Z        
## [5] outlier_IQR       Z_robusto         outlier_MAD       metodos_evaluados
## [9] numero_metodos   
## <0 rows> (o 0- extensión row.names)
## 
## ===== LOS TRES MÉTODOS =====
## [1] ID        Valor     Z_score   Z_robusto
## <0 rows> (o 0- extensión row.names)
## 
## ================ RESUMEN ================
##  Variable        Metodo N_evaluados N_outliers Porcentaje
##        zn       Z-score         404         11       2.72
##        zn           IQR           0          0         NA
##        zn Tukey extremo           0          0         NA
##        zn           MAD           0          0         NA
## Warning: No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.

## 
## ================ CLASIFICACIÓN FINAL ================
##     ID Valor  Z_score Z_robusto metodos_evaluados numero_metodos
## 1   35    90 3.255037        NA                 1              1
## 2   36    85 3.047922        NA                 1              1
## 3   37   100 3.669267        NA                 1              1
## 4  160    95 3.462152        NA                 1              1
## 5  161    95 3.462152        NA                 1              1
## 6  164    95 3.462152        NA                 1              1
## 7  206    90 3.255037        NA                 1              1
## 8  224    90 3.255037        NA                 1              1
## 9  225    90 3.255037        NA                 1              1
## 10 277    85 3.047922        NA                 1              1
## 11 281    90 3.255037        NA                 1              1
##             clasificacion
## 1  Outlier según 1 método
## 2  Outlier según 1 método
## 3  Outlier según 1 método
## 4  Outlier según 1 método
## 5  Outlier según 1 método
## 6  Outlier según 1 método
## 7  Outlier según 1 método
## 8  Outlier según 1 método
## 9  Outlier según 1 método
## 10 Outlier según 1 método
## 11 Outlier según 1 método
## 
## ========================================
##  VARIABLE: indus 
## ========================================
## 
## ================ MÉTODO Z ================
## Límite inferior = -9.620728 
## Límite superior = 32.4281 
## Número de outliers = 0 
## [1] ID      Valor   Z_score
## <0 rows> (o 0- extensión row.names)
## 
## ================ MÉTODO IQR ================
## Q1 = 5.175 
## Q3 = 18.1 
## IQR = 12.925 
## Límite inferior = -14.2125 
## Límite superior = 37.4875 
## Número de outliers = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## =========== OUTLIERS EXTREMOS TUKEY ===========
## Límite inferior = -33.6 
## Límite superior = 56.875 
## Número de outliers extremos = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## ================ MÉTODO MAD ================
## Mediana = 9.9 
## MAD = 6.795 
## MAD ajustada = 10.07427 
## Número de outliers = 0 
## [1] ID        Valor     Z_robusto
## <0 rows> (o 0- extensión row.names)
## 
## ================ COMPARACIÓN ================
##      ID Valor     Z_score outlier_Z outlier_IQR outlier_extremo   Z_robusto
## 1     1  2.31 -1.29758961     FALSE       FALSE           FALSE -0.75340469
## 2     2  7.07 -0.61837932     FALSE       FALSE           FALSE -0.28091374
## 3     3  7.07 -0.61837932     FALSE       FALSE           FALSE -0.28091374
## 4     4  2.18 -1.31613947     FALSE       FALSE           FALSE -0.76630885
## 5     5  2.18 -1.31613947     FALSE       FALSE           FALSE -0.76630885
## 6     6  7.87 -0.50422633     FALSE       FALSE           FALSE -0.20150349
## 7     7  7.87 -0.50422633     FALSE       FALSE           FALSE -0.20150349
## 8     8  7.87 -0.50422633     FALSE       FALSE           FALSE -0.20150349
## 9     9  7.87 -0.50422633     FALSE       FALSE           FALSE -0.20150349
## 10   10  7.87 -0.50422633     FALSE       FALSE           FALSE -0.20150349
## 11   11  8.14 -0.46569970     FALSE       FALSE           FALSE -0.17470254
## 12   12  8.14 -0.46569970     FALSE       FALSE           FALSE -0.17470254
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## 305 305 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 306 306 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 307 307 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 308 308 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 309 309 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 310 310 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 311 311 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 312 312 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 313 313 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 314 314 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 315 315 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 316 316 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 317 317 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 318 318 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 319 319 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 320 320 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 321 321 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 322 322 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 323 323 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 324 324 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 325 325 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 326 326 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 327 327 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 328 328 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 329 329 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 330 330 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 331 331 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 332 332 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 333 333 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 334 334 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 335 335 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 336 336 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 337 337 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 338 338 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 339 339 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 340 340 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 341 341 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 342 342 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 343 343 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 344 344 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 345 345 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 346 346 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 347 347 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 348 348 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 349 349 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 350 350 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 351 351 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 352 352 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 353 353 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 354 354 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 355 355 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 356 356 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 357 357 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 358 358 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 359 359 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 360 360 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 361 361 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 362 362 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 363 363 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 364 364 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 365 365 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 366 366 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 367 367 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 368 368 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 369 369 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 370 370 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 371 371 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 372 372 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 373 373 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 374 374 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 375 375 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 376 376 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 377 377 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 378 378 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 379 379 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 380 380 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 381 381 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 382 382 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 383 383 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 384 384 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 385 385 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 386 386 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 387 387 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 388 388 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 389 389 18.10  0.95550503     FALSE       FALSE           FALSE  0.81395500
## 390 390 27.74  2.33104856     FALSE       FALSE           FALSE  1.77084844
## 391 391 27.74  2.33104856     FALSE       FALSE           FALSE  1.77084844
## 392 392 27.74  2.33104856     FALSE       FALSE           FALSE  1.77084844
## 393 393 27.74  2.33104856     FALSE       FALSE           FALSE  1.77084844
## 394 394 27.74  2.33104856     FALSE       FALSE           FALSE  1.77084844
## 395 395  9.69 -0.24452828     FALSE       FALSE           FALSE -0.02084519
## 396 396  9.69 -0.24452828     FALSE       FALSE           FALSE -0.02084519
## 397 397  9.69 -0.24452828     FALSE       FALSE           FALSE -0.02084519
## 398 398  9.69 -0.24452828     FALSE       FALSE           FALSE -0.02084519
## 399 399  9.69 -0.24452828     FALSE       FALSE           FALSE -0.02084519
## 400 400  9.69 -0.24452828     FALSE       FALSE           FALSE -0.02084519
## 401 401 11.93  0.07510009     FALSE       FALSE           FALSE  0.20150349
## 402 402 11.93  0.07510009     FALSE       FALSE           FALSE  0.20150349
## 403 403 11.93  0.07510009     FALSE       FALSE           FALSE  0.20150349
## 404 404 11.93  0.07510009     FALSE       FALSE           FALSE  0.20150349
##     outlier_MAD
## 1         FALSE
## 2         FALSE
## 3         FALSE
## 4         FALSE
## 5         FALSE
## 6         FALSE
## 7         FALSE
## 8         FALSE
## 9         FALSE
## 10        FALSE
## 11        FALSE
## 12        FALSE
## 13        FALSE
## 14        FALSE
## 15        FALSE
## 16        FALSE
## 17        FALSE
## 18        FALSE
## 19        FALSE
## 20        FALSE
## 21        FALSE
## 22        FALSE
## 23        FALSE
## 24        FALSE
## 25        FALSE
## 26        FALSE
## 27        FALSE
## 28        FALSE
## 29        FALSE
## 30        FALSE
## 31        FALSE
## 32        FALSE
## 33        FALSE
## 34        FALSE
## 35        FALSE
## 36        FALSE
## 37        FALSE
## 38        FALSE
## 39        FALSE
## 40        FALSE
## 41        FALSE
## 42        FALSE
## 43        FALSE
## 44        FALSE
## 45        FALSE
## 46        FALSE
## 47        FALSE
## 48        FALSE
## 49        FALSE
## 50        FALSE
## 51        FALSE
## 52        FALSE
## 53        FALSE
## 54        FALSE
## 55        FALSE
## 56        FALSE
## 57        FALSE
## 58        FALSE
## 59        FALSE
## 60        FALSE
## 61        FALSE
## 62        FALSE
## 63        FALSE
## 64        FALSE
## 65        FALSE
## 66        FALSE
## 67        FALSE
## 68        FALSE
## 69        FALSE
## 70        FALSE
## 71        FALSE
## 72        FALSE
## 73        FALSE
## 74        FALSE
## 75        FALSE
## 76        FALSE
## 77        FALSE
## 78        FALSE
## 79        FALSE
## 80        FALSE
## 81        FALSE
## 82        FALSE
## 83        FALSE
## 84        FALSE
## 85        FALSE
## 86        FALSE
## 87        FALSE
## 88        FALSE
## 89        FALSE
## 90        FALSE
## 91        FALSE
## 92        FALSE
## 93        FALSE
## 94        FALSE
## 95        FALSE
## 96        FALSE
## 97        FALSE
## 98        FALSE
## 99        FALSE
## 100       FALSE
## 101       FALSE
## 102       FALSE
## 103       FALSE
## 104       FALSE
## 105       FALSE
## 106       FALSE
## 107       FALSE
## 108       FALSE
## 109       FALSE
## 110       FALSE
## 111       FALSE
## 112       FALSE
## 113       FALSE
## 114       FALSE
## 115       FALSE
## 116       FALSE
## 117       FALSE
## 118       FALSE
## 119       FALSE
## 120       FALSE
## 121       FALSE
## 122       FALSE
## 123       FALSE
## 124       FALSE
## 125       FALSE
## 126       FALSE
## 127       FALSE
## 128       FALSE
## 129       FALSE
## 130       FALSE
## 131       FALSE
## 132       FALSE
## 133       FALSE
## 134       FALSE
## 135       FALSE
## 136       FALSE
## 137       FALSE
## 138       FALSE
## 139       FALSE
## 140       FALSE
## 141       FALSE
## 142       FALSE
## 143       FALSE
## 144       FALSE
## 145       FALSE
## 146       FALSE
## 147       FALSE
## 148       FALSE
## 149       FALSE
## 150       FALSE
## 151       FALSE
## 152       FALSE
## 153       FALSE
## 154       FALSE
## 155       FALSE
## 156       FALSE
## 157       FALSE
## 158       FALSE
## 159       FALSE
## 160       FALSE
## 161       FALSE
## 162       FALSE
## 163       FALSE
## 164       FALSE
## 165       FALSE
## 166       FALSE
## 167       FALSE
## 168       FALSE
## 169       FALSE
## 170       FALSE
## 171       FALSE
## 172       FALSE
## 173       FALSE
## 174       FALSE
## 175       FALSE
## 176       FALSE
## 177       FALSE
## 178       FALSE
## 179       FALSE
## 180       FALSE
## 181       FALSE
## 182       FALSE
## 183       FALSE
## 184       FALSE
## 185       FALSE
## 186       FALSE
## 187       FALSE
## 188       FALSE
## 189       FALSE
## 190       FALSE
## 191       FALSE
## 192       FALSE
## 193       FALSE
## 194       FALSE
## 195       FALSE
## 196       FALSE
## 197       FALSE
## 198       FALSE
## 199       FALSE
## 200       FALSE
## 201       FALSE
## 202       FALSE
## 203       FALSE
## 204       FALSE
## 205       FALSE
## 206       FALSE
## 207       FALSE
## 208       FALSE
## 209       FALSE
## 210       FALSE
## 211       FALSE
## 212       FALSE
## 213       FALSE
## 214       FALSE
## 215       FALSE
## 216       FALSE
## 217       FALSE
## 218       FALSE
## 219       FALSE
## 220       FALSE
## 221       FALSE
## 222       FALSE
## 223       FALSE
## 224       FALSE
## 225       FALSE
## 226       FALSE
## 227       FALSE
## 228       FALSE
## 229       FALSE
## 230       FALSE
## 231       FALSE
## 232       FALSE
## 233       FALSE
## 234       FALSE
## 235       FALSE
## 236       FALSE
## 237       FALSE
## 238       FALSE
## 239       FALSE
## 240       FALSE
## 241       FALSE
## 242       FALSE
## 243       FALSE
## 244       FALSE
## 245       FALSE
## 246       FALSE
## 247       FALSE
## 248       FALSE
## 249       FALSE
## 250       FALSE
## 251       FALSE
## 252       FALSE
## 253       FALSE
## 254       FALSE
## 255       FALSE
## 256       FALSE
## 257       FALSE
## 258       FALSE
## 259       FALSE
## 260       FALSE
## 261       FALSE
## 262       FALSE
## 263       FALSE
## 264       FALSE
## 265       FALSE
## 266       FALSE
## 267       FALSE
## 268       FALSE
## 269       FALSE
## 270       FALSE
## 271       FALSE
## 272       FALSE
## 273       FALSE
## 274       FALSE
## 275       FALSE
## 276       FALSE
## 277       FALSE
## 278       FALSE
## 279       FALSE
## 280       FALSE
## 281       FALSE
## 282       FALSE
## 283       FALSE
## 284       FALSE
## 285       FALSE
## 286       FALSE
## 287       FALSE
## 288       FALSE
## 289       FALSE
## 290       FALSE
## 291       FALSE
## 292       FALSE
## 293       FALSE
## 294       FALSE
## 295       FALSE
## 296       FALSE
## 297       FALSE
## 298       FALSE
## 299       FALSE
## 300       FALSE
## 301       FALSE
## 302       FALSE
## 303       FALSE
## 304       FALSE
## 305       FALSE
## 306       FALSE
## 307       FALSE
## 308       FALSE
## 309       FALSE
## 310       FALSE
## 311       FALSE
## 312       FALSE
## 313       FALSE
## 314       FALSE
## 315       FALSE
## 316       FALSE
## 317       FALSE
## 318       FALSE
## 319       FALSE
## 320       FALSE
## 321       FALSE
## 322       FALSE
## 323       FALSE
## 324       FALSE
## 325       FALSE
## 326       FALSE
## 327       FALSE
## 328       FALSE
## 329       FALSE
## 330       FALSE
## 331       FALSE
## 332       FALSE
## 333       FALSE
## 334       FALSE
## 335       FALSE
## 336       FALSE
## 337       FALSE
## 338       FALSE
## 339       FALSE
## 340       FALSE
## 341       FALSE
## 342       FALSE
## 343       FALSE
## 344       FALSE
## 345       FALSE
## 346       FALSE
## 347       FALSE
## 348       FALSE
## 349       FALSE
## 350       FALSE
## 351       FALSE
## 352       FALSE
## 353       FALSE
## 354       FALSE
## 355       FALSE
## 356       FALSE
## 357       FALSE
## 358       FALSE
## 359       FALSE
## 360       FALSE
## 361       FALSE
## 362       FALSE
## 363       FALSE
## 364       FALSE
## 365       FALSE
## 366       FALSE
## 367       FALSE
## 368       FALSE
## 369       FALSE
## 370       FALSE
## 371       FALSE
## 372       FALSE
## 373       FALSE
## 374       FALSE
## 375       FALSE
## 376       FALSE
## 377       FALSE
## 378       FALSE
## 379       FALSE
## 380       FALSE
## 381       FALSE
## 382       FALSE
## 383       FALSE
## 384       FALSE
## 385       FALSE
## 386       FALSE
## 387       FALSE
## 388       FALSE
## 389       FALSE
## 390       FALSE
## 391       FALSE
## 392       FALSE
## 393       FALSE
## 394       FALSE
## 395       FALSE
## 396       FALSE
## 397       FALSE
## 398       FALSE
## 399       FALSE
## 400       FALSE
## 401       FALSE
## 402       FALSE
## 403       FALSE
## 404       FALSE
## 
## ===== AL MENOS UN MÉTODO =====
## [1] ID                Valor             Z_score           outlier_Z        
## [5] outlier_IQR       Z_robusto         outlier_MAD       metodos_evaluados
## [9] numero_metodos   
## <0 rows> (o 0- extensión row.names)
## 
## ===== AL MENOS DOS MÉTODOS =====
## [1] ID                Valor             Z_score           outlier_Z        
## [5] outlier_IQR       Z_robusto         outlier_MAD       metodos_evaluados
## [9] numero_metodos   
## <0 rows> (o 0- extensión row.names)
## 
## ===== LOS TRES MÉTODOS =====
## [1] ID        Valor     Z_score   Z_robusto
## <0 rows> (o 0- extensión row.names)
## 
## ================ RESUMEN ================
##  Variable        Metodo N_evaluados N_outliers Porcentaje
##     indus       Z-score         404          0          0
##     indus           IQR         404          0          0
##     indus Tukey extremo         404          0          0
##     indus           MAD         404          0          0
## Warning: No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.

## 
## ================ CLASIFICACIÓN FINAL ================
## [1] ID                Valor             Z_score           Z_robusto        
## [5] metodos_evaluados numero_metodos    clasificacion    
## <0 rows> (o 0- extensión row.names)
## 
## ========================================
##  VARIABLE: nox 
## ========================================
## 
## ================ MÉTODO Z ================
## Límite inferior = 0.2042084 
## Límite superior = 0.9092263 
## Número de outliers = 0 
## [1] ID      Valor   Z_score
## <0 rows> (o 0- extensión row.names)
## 
## ================ MÉTODO IQR ================
## Q1 = 0.453 
## Q3 = 0.624 
## IQR = 0.171 
## Límite inferior = 0.1965 
## Límite superior = 0.8805 
## Número de outliers = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## =========== OUTLIERS EXTREMOS TUKEY ===========
## Límite inferior = -0.06 
## Límite superior = 1.137 
## Número de outliers extremos = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## ================ MÉTODO MAD ================
## Mediana = 0.538 
## MAD = 0.086 
## MAD ajustada = 0.1275036 
## Número de outliers = 0 
## [1] ID        Valor     Z_robusto
## <0 rows> (o 0- extensión row.names)
## 
## ================ COMPARACIÓN ================
##      ID  Valor     Z_score outlier_Z outlier_IQR outlier_extremo   Z_robusto
## 1     1 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 2     2 0.4690 -0.74651147     FALSE       FALSE           FALSE -0.54116119
## 3     3 0.4690 -0.74651147     FALSE       FALSE           FALSE -0.54116119
## 4     4 0.4580 -0.84012611     FALSE       FALSE           FALSE -0.62743326
## 5     5 0.4580 -0.84012611     FALSE       FALSE           FALSE -0.62743326
## 6     6 0.5240 -0.27843826     FALSE       FALSE           FALSE -0.10980082
## 7     7 0.5240 -0.27843826     FALSE       FALSE           FALSE -0.10980082
## 8     8 0.5240 -0.27843826     FALSE       FALSE           FALSE -0.10980082
## 9     9 0.5240 -0.27843826     FALSE       FALSE           FALSE -0.10980082
## 10   10 0.5240 -0.27843826     FALSE       FALSE           FALSE -0.10980082
## 11   11 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 12   12 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 13   13 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 14   14 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 15   15 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 16   16 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 17   17 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 18   18 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 19   19 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 20   20 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 21   21 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 22   22 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 23   23 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 24   24 0.5380 -0.15929235     FALSE       FALSE           FALSE  0.00000000
## 25   25 0.4990 -0.49119881     FALSE       FALSE           FALSE -0.30587372
## 26   26 0.4990 -0.49119881     FALSE       FALSE           FALSE -0.30587372
## 27   27 0.4990 -0.49119881     FALSE       FALSE           FALSE -0.30587372
## 28   28 0.4480 -0.92523033     FALSE       FALSE           FALSE -0.70586242
## 29   29 0.4480 -0.92523033     FALSE       FALSE           FALSE -0.70586242
## 30   30 0.4480 -0.92523033     FALSE       FALSE           FALSE -0.70586242
## 31   31 0.4480 -0.92523033     FALSE       FALSE           FALSE -0.70586242
## 32   32 0.4480 -0.92523033     FALSE       FALSE           FALSE -0.70586242
## 33   33 0.4390 -1.00182413     FALSE       FALSE           FALSE -0.77644866
## 34   34 0.4100 -1.24862636     FALSE       FALSE           FALSE -1.00389322
## 35   35 0.4030 -1.30819932     FALSE       FALSE           FALSE -1.05879363
## 36   36 0.4100 -1.24862636     FALSE       FALSE           FALSE -1.00389322
## 37   37 0.4110 -1.24011594     FALSE       FALSE           FALSE -0.99605031
## 38   38 0.4530 -0.88267822     FALSE       FALSE           FALSE -0.66664784
## 39   39 0.4530 -0.88267822     FALSE       FALSE           FALSE -0.66664784
## 40   40 0.4530 -0.88267822     FALSE       FALSE           FALSE -0.66664784
## 41   41 0.4161 -1.19671279     FALSE       FALSE           FALSE -0.95605144
## 42   42 0.3980 -1.35075143     FALSE       FALSE           FALSE -1.09800821
## 43   43 0.3980 -1.35075143     FALSE       FALSE           FALSE -1.09800821
## 44   44 0.4090 -1.25713679     FALSE       FALSE           FALSE -1.01173614
## 45   45 0.4090 -1.25713679     FALSE       FALSE           FALSE -1.01173614
## 46   46 0.4130 -1.22309510     FALSE       FALSE           FALSE -0.98036448
## 47   47 0.4130 -1.22309510     FALSE       FALSE           FALSE -0.98036448
## 48   48 0.4130 -1.22309510     FALSE       FALSE           FALSE -0.98036448
## 49   49 0.4370 -1.01884497     FALSE       FALSE           FALSE -0.79213450
## 50   50 0.4370 -1.01884497     FALSE       FALSE           FALSE -0.79213450
## 51   51 0.4370 -1.01884497     FALSE       FALSE           FALSE -0.79213450
## 52   52 0.4370 -1.01884497     FALSE       FALSE           FALSE -0.79213450
## 53   53 0.4370 -1.01884497     FALSE       FALSE           FALSE -0.79213450
## 54   54 0.4260 -1.11245961     FALSE       FALSE           FALSE -0.87840657
## 55   55 0.4260 -1.11245961     FALSE       FALSE           FALSE -0.87840657
## 56   56 0.4260 -1.11245961     FALSE       FALSE           FALSE -0.87840657
## 57   57 0.4490 -0.91671991     FALSE       FALSE           FALSE -0.69801951
## 58   58 0.4490 -0.91671991     FALSE       FALSE           FALSE -0.69801951
## 59   59 0.4490 -0.91671991     FALSE       FALSE           FALSE -0.69801951
## 60   60 0.4490 -0.91671991     FALSE       FALSE           FALSE -0.69801951
## 61   61 0.4890 -0.57630303     FALSE       FALSE           FALSE -0.38430287
## 62   62 0.4890 -0.57630303     FALSE       FALSE           FALSE -0.38430287
## 63   63 0.4890 -0.57630303     FALSE       FALSE           FALSE -0.38430287
## 64   64 0.4890 -0.57630303     FALSE       FALSE           FALSE -0.38430287
## 65   65 0.4640 -0.78906358     FALSE       FALSE           FALSE -0.58037577
## 66   66 0.4640 -0.78906358     FALSE       FALSE           FALSE -0.58037577
## 67   67 0.4640 -0.78906358     FALSE       FALSE           FALSE -0.58037577
## 68   68 0.4450 -0.95076159     FALSE       FALSE           FALSE -0.72939117
## 69   69 0.4450 -0.95076159     FALSE       FALSE           FALSE -0.72939117
## 70   70 0.4450 -0.95076159     FALSE       FALSE           FALSE -0.72939117
## 71   71 0.4450 -0.95076159     FALSE       FALSE           FALSE -0.72939117
## 72   72 0.4450 -0.95076159     FALSE       FALSE           FALSE -0.72939117
## 73   73 0.5200 -0.31247995     FALSE       FALSE           FALSE -0.14117248
## 74   74 0.5200 -0.31247995     FALSE       FALSE           FALSE -0.14117248
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## 350 350 0.7400  1.55981289     FALSE       FALSE           FALSE  1.58426899
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## 359 359 0.7130  1.33003150     FALSE       FALSE           FALSE  1.37251027
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## 365 365 0.7130  1.33003150     FALSE       FALSE           FALSE  1.37251027
## 366 366 0.7130  1.33003150     FALSE       FALSE           FALSE  1.37251027
## 367 367 0.7130  1.33003150     FALSE       FALSE           FALSE  1.37251027
## 368 368 0.6550  0.83642702     FALSE       FALSE           FALSE  0.91762115
## 369 369 0.6550  0.83642702     FALSE       FALSE           FALSE  0.91762115
## 370 370 0.6550  0.83642702     FALSE       FALSE           FALSE  0.91762115
## 371 371 0.5800  0.19814537     FALSE       FALSE           FALSE  0.32940246
## 372 372 0.5800  0.19814537     FALSE       FALSE           FALSE  0.32940246
## 373 373 0.5800  0.19814537     FALSE       FALSE           FALSE  0.32940246
## 374 374 0.5320 -0.21035488     FALSE       FALSE           FALSE -0.04705749
## 375 375 0.5800  0.19814537     FALSE       FALSE           FALSE  0.32940246
## 376 376 0.6140  0.48749972     FALSE       FALSE           FALSE  0.59606160
## 377 377 0.5840  0.23218706     FALSE       FALSE           FALSE  0.36077413
## 378 378 0.5840  0.23218706     FALSE       FALSE           FALSE  0.36077413
## 379 379 0.6140  0.48749972     FALSE       FALSE           FALSE  0.59606160
## 380 380 0.6140  0.48749972     FALSE       FALSE           FALSE  0.59606160
## 381 381 0.6140  0.48749972     FALSE       FALSE           FALSE  0.59606160
## 382 382 0.6140  0.48749972     FALSE       FALSE           FALSE  0.59606160
## 383 383 0.5320 -0.21035488     FALSE       FALSE           FALSE -0.04705749
## 384 384 0.5320 -0.21035488     FALSE       FALSE           FALSE -0.04705749
## 385 385 0.5320 -0.21035488     FALSE       FALSE           FALSE -0.04705749
## 386 386 0.5320 -0.21035488     FALSE       FALSE           FALSE -0.04705749
## 387 387 0.5830  0.22367664     FALSE       FALSE           FALSE  0.35293121
## 388 388 0.5830  0.22367664     FALSE       FALSE           FALSE  0.35293121
## 389 389 0.5830  0.22367664     FALSE       FALSE           FALSE  0.35293121
## 390 390 0.6090  0.44494761     FALSE       FALSE           FALSE  0.55684702
## 391 391 0.6090  0.44494761     FALSE       FALSE           FALSE  0.55684702
## 392 392 0.6090  0.44494761     FALSE       FALSE           FALSE  0.55684702
## 393 393 0.6090  0.44494761     FALSE       FALSE           FALSE  0.55684702
## 394 394 0.6090  0.44494761     FALSE       FALSE           FALSE  0.55684702
## 395 395 0.5850  0.24069748     FALSE       FALSE           FALSE  0.36861704
## 396 396 0.5850  0.24069748     FALSE       FALSE           FALSE  0.36861704
## 397 397 0.5850  0.24069748     FALSE       FALSE           FALSE  0.36861704
## 398 398 0.5850  0.24069748     FALSE       FALSE           FALSE  0.36861704
## 399 399 0.5850  0.24069748     FALSE       FALSE           FALSE  0.36861704
## 400 400 0.5850  0.24069748     FALSE       FALSE           FALSE  0.36861704
## 401 401 0.5730  0.13857242     FALSE       FALSE           FALSE  0.27450205
## 402 402 0.5730  0.13857242     FALSE       FALSE           FALSE  0.27450205
## 403 403 0.5730  0.13857242     FALSE       FALSE           FALSE  0.27450205
## 404 404 0.5730  0.13857242     FALSE       FALSE           FALSE  0.27450205
##     outlier_MAD
## 1         FALSE
## 2         FALSE
## 3         FALSE
## 4         FALSE
## 5         FALSE
## 6         FALSE
## 7         FALSE
## 8         FALSE
## 9         FALSE
## 10        FALSE
## 11        FALSE
## 12        FALSE
## 13        FALSE
## 14        FALSE
## 15        FALSE
## 16        FALSE
## 17        FALSE
## 18        FALSE
## 19        FALSE
## 20        FALSE
## 21        FALSE
## 22        FALSE
## 23        FALSE
## 24        FALSE
## 25        FALSE
## 26        FALSE
## 27        FALSE
## 28        FALSE
## 29        FALSE
## 30        FALSE
## 31        FALSE
## 32        FALSE
## 33        FALSE
## 34        FALSE
## 35        FALSE
## 36        FALSE
## 37        FALSE
## 38        FALSE
## 39        FALSE
## 40        FALSE
## 41        FALSE
## 42        FALSE
## 43        FALSE
## 44        FALSE
## 45        FALSE
## 46        FALSE
## 47        FALSE
## 48        FALSE
## 49        FALSE
## 50        FALSE
## 51        FALSE
## 52        FALSE
## 53        FALSE
## 54        FALSE
## 55        FALSE
## 56        FALSE
## 57        FALSE
## 58        FALSE
## 59        FALSE
## 60        FALSE
## 61        FALSE
## 62        FALSE
## 63        FALSE
## 64        FALSE
## 65        FALSE
## 66        FALSE
## 67        FALSE
## 68        FALSE
## 69        FALSE
## 70        FALSE
## 71        FALSE
## 72        FALSE
## 73        FALSE
## 74        FALSE
## 75        FALSE
## 76        FALSE
## 77        FALSE
## 78        FALSE
## 79        FALSE
## 80        FALSE
## 81        FALSE
## 82        FALSE
## 83        FALSE
## 84        FALSE
## 85        FALSE
## 86        FALSE
## 87        FALSE
## 88        FALSE
## 89        FALSE
## 90        FALSE
## 91        FALSE
## 92        FALSE
## 93        FALSE
## 94        FALSE
## 95        FALSE
## 96        FALSE
## 97        FALSE
## 98        FALSE
## 99        FALSE
## 100       FALSE
## 101       FALSE
## 102       FALSE
## 103       FALSE
## 104       FALSE
## 105       FALSE
## 106       FALSE
## 107       FALSE
## 108       FALSE
## 109       FALSE
## 110       FALSE
## 111       FALSE
## 112       FALSE
## 113       FALSE
## 114       FALSE
## 115       FALSE
## 116       FALSE
## 117       FALSE
## 118       FALSE
## 119       FALSE
## 120       FALSE
## 121       FALSE
## 122       FALSE
## 123       FALSE
## 124       FALSE
## 125       FALSE
## 126       FALSE
## 127       FALSE
## 128       FALSE
## 129       FALSE
## 130       FALSE
## 131       FALSE
## 132       FALSE
## 133       FALSE
## 134       FALSE
## 135       FALSE
## 136       FALSE
## 137       FALSE
## 138       FALSE
## 139       FALSE
## 140       FALSE
## 141       FALSE
## 142       FALSE
## 143       FALSE
## 144       FALSE
## 145       FALSE
## 146       FALSE
## 147       FALSE
## 148       FALSE
## 149       FALSE
## 150       FALSE
## 151       FALSE
## 152       FALSE
## 153       FALSE
## 154       FALSE
## 155       FALSE
## 156       FALSE
## 157       FALSE
## 158       FALSE
## 159       FALSE
## 160       FALSE
## 161       FALSE
## 162       FALSE
## 163       FALSE
## 164       FALSE
## 165       FALSE
## 166       FALSE
## 167       FALSE
## 168       FALSE
## 169       FALSE
## 170       FALSE
## 171       FALSE
## 172       FALSE
## 173       FALSE
## 174       FALSE
## 175       FALSE
## 176       FALSE
## 177       FALSE
## 178       FALSE
## 179       FALSE
## 180       FALSE
## 181       FALSE
## 182       FALSE
## 183       FALSE
## 184       FALSE
## 185       FALSE
## 186       FALSE
## 187       FALSE
## 188       FALSE
## 189       FALSE
## 190       FALSE
## 191       FALSE
## 192       FALSE
## 193       FALSE
## 194       FALSE
## 195       FALSE
## 196       FALSE
## 197       FALSE
## 198       FALSE
## 199       FALSE
## 200       FALSE
## 201       FALSE
## 202       FALSE
## 203       FALSE
## 204       FALSE
## 205       FALSE
## 206       FALSE
## 207       FALSE
## 208       FALSE
## 209       FALSE
## 210       FALSE
## 211       FALSE
## 212       FALSE
## 213       FALSE
## 214       FALSE
## 215       FALSE
## 216       FALSE
## 217       FALSE
## 218       FALSE
## 219       FALSE
## 220       FALSE
## 221       FALSE
## 222       FALSE
## 223       FALSE
## 224       FALSE
## 225       FALSE
## 226       FALSE
## 227       FALSE
## 228       FALSE
## 229       FALSE
## 230       FALSE
## 231       FALSE
## 232       FALSE
## 233       FALSE
## 234       FALSE
## 235       FALSE
## 236       FALSE
## 237       FALSE
## 238       FALSE
## 239       FALSE
## 240       FALSE
## 241       FALSE
## 242       FALSE
## 243       FALSE
## 244       FALSE
## 245       FALSE
## 246       FALSE
## 247       FALSE
## 248       FALSE
## 249       FALSE
## 250       FALSE
## 251       FALSE
## 252       FALSE
## 253       FALSE
## 254       FALSE
## 255       FALSE
## 256       FALSE
## 257       FALSE
## 258       FALSE
## 259       FALSE
## 260       FALSE
## 261       FALSE
## 262       FALSE
## 263       FALSE
## 264       FALSE
## 265       FALSE
## 266       FALSE
## 267       FALSE
## 268       FALSE
## 269       FALSE
## 270       FALSE
## 271       FALSE
## 272       FALSE
## 273       FALSE
## 274       FALSE
## 275       FALSE
## 276       FALSE
## 277       FALSE
## 278       FALSE
## 279       FALSE
## 280       FALSE
## 281       FALSE
## 282       FALSE
## 283       FALSE
## 284       FALSE
## 285       FALSE
## 286       FALSE
## 287       FALSE
## 288       FALSE
## 289       FALSE
## 290       FALSE
## 291       FALSE
## 292       FALSE
## 293       FALSE
## 294       FALSE
## 295       FALSE
## 296       FALSE
## 297       FALSE
## 298       FALSE
## 299       FALSE
## 300       FALSE
## 301       FALSE
## 302       FALSE
## 303       FALSE
## 304       FALSE
## 305       FALSE
## 306       FALSE
## 307       FALSE
## 308       FALSE
## 309       FALSE
## 310       FALSE
## 311       FALSE
## 312       FALSE
## 313       FALSE
## 314       FALSE
## 315       FALSE
## 316       FALSE
## 317       FALSE
## 318       FALSE
## 319       FALSE
## 320       FALSE
## 321       FALSE
## 322       FALSE
## 323       FALSE
## 324       FALSE
## 325       FALSE
## 326       FALSE
## 327       FALSE
## 328       FALSE
## 329       FALSE
## 330       FALSE
## 331       FALSE
## 332       FALSE
## 333       FALSE
## 334       FALSE
## 335       FALSE
## 336       FALSE
## 337       FALSE
## 338       FALSE
## 339       FALSE
## 340       FALSE
## 341       FALSE
## 342       FALSE
## 343       FALSE
## 344       FALSE
## 345       FALSE
## 346       FALSE
## 347       FALSE
## 348       FALSE
## 349       FALSE
## 350       FALSE
## 351       FALSE
## 352       FALSE
## 353       FALSE
## 354       FALSE
## 355       FALSE
## 356       FALSE
## 357       FALSE
## 358       FALSE
## 359       FALSE
## 360       FALSE
## 361       FALSE
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## 364       FALSE
## 365       FALSE
## 366       FALSE
## 367       FALSE
## 368       FALSE
## 369       FALSE
## 370       FALSE
## 371       FALSE
## 372       FALSE
## 373       FALSE
## 374       FALSE
## 375       FALSE
## 376       FALSE
## 377       FALSE
## 378       FALSE
## 379       FALSE
## 380       FALSE
## 381       FALSE
## 382       FALSE
## 383       FALSE
## 384       FALSE
## 385       FALSE
## 386       FALSE
## 387       FALSE
## 388       FALSE
## 389       FALSE
## 390       FALSE
## 391       FALSE
## 392       FALSE
## 393       FALSE
## 394       FALSE
## 395       FALSE
## 396       FALSE
## 397       FALSE
## 398       FALSE
## 399       FALSE
## 400       FALSE
## 401       FALSE
## 402       FALSE
## 403       FALSE
## 404       FALSE
## 
## ===== AL MENOS UN MÉTODO =====
## [1] ID                Valor             Z_score           outlier_Z        
## [5] outlier_IQR       Z_robusto         outlier_MAD       metodos_evaluados
## [9] numero_metodos   
## <0 rows> (o 0- extensión row.names)
## 
## ===== AL MENOS DOS MÉTODOS =====
## [1] ID                Valor             Z_score           outlier_Z        
## [5] outlier_IQR       Z_robusto         outlier_MAD       metodos_evaluados
## [9] numero_metodos   
## <0 rows> (o 0- extensión row.names)
## 
## ===== LOS TRES MÉTODOS =====
## [1] ID        Valor     Z_score   Z_robusto
## <0 rows> (o 0- extensión row.names)
## 
## ================ RESUMEN ================
##  Variable        Metodo N_evaluados N_outliers Porcentaje
##       nox       Z-score         404          0          0
##       nox           IQR         404          0          0
##       nox Tukey extremo         404          0          0
##       nox           MAD         404          0          0
## Warning: No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.

## 
## ================ CLASIFICACIÓN FINAL ================
## [1] ID                Valor             Z_score           Z_robusto        
## [5] metodos_evaluados numero_metodos    clasificacion    
## <0 rows> (o 0- extensión row.names)
## 
## ========================================
##  VARIABLE: rm 
## ========================================
## 
## ================ MÉTODO Z ================
## Límite inferior = 4.213644 
## Límite superior = 8.364035 
## Número de outliers = 7 
##    ID Valor   Z_score
## 1 129 8.375  3.015852
## 2 207 8.704  3.491470
## 3 211 8.398  3.049102
## 4 291 8.780  3.601339
## 5 292 3.561 -3.943492
## 6 294 3.863 -3.506907
## 7 300 4.138 -3.109354
## 
## ================ MÉTODO IQR ================
## Q1 = 5.888 
## Q3 = 6.62925 
## IQR = 0.74125 
## Límite inferior = 4.776125 
## Límite superior = 7.741125 
## Número de outliers = 23 
##     ID Valor
## 1   70 8.069
## 2   71 7.820
## 3  128 7.802
## 4  129 8.375
## 5  132 7.929
## 6  144 7.765
## 7  156 7.875
## 8  164 7.853
## 9  180 8.266
## 10 181 8.040
## 11 186 8.337
## 12 187 8.247
## 13 207 8.704
## 14 211 8.398
## 15 221 7.820
## 16 224 7.923
## 17 291 8.780
## 18 292 3.561
## 19 294 3.863
## 20 300 4.138
## 21 308 4.652
## 22 326 4.628
## 23 328 4.519
## 
## =========== OUTLIERS EXTREMOS TUKEY ===========
## Límite inferior = 3.66425 
## Límite superior = 8.853 
## Número de outliers extremos = 1 
##    ID Valor
## 1 292 3.561
## 
## ================ MÉTODO MAD ================
## Mediana = 6.21 
## MAD = 0.3415 
## MAD ajustada = 0.5063079 
## Número de outliers = 12 
##     ID Valor Z_robusto
## 1   70 8.069  3.671679
## 2  129 8.375  4.276054
## 3  180 8.266  4.060770
## 4  181 8.040  3.614401
## 5  186 8.337  4.201001
## 6  187 8.247  4.023244
## 7  207 8.704  4.925856
## 8  211 8.398  4.321481
## 9  291 8.780  5.075963
## 10 292 3.561 -5.231994
## 11 294 3.863 -4.635519
## 12 300 4.138 -4.092371
## 
## ================ COMPARACIÓN ================
##      ID Valor      Z_score outlier_Z outlier_IQR outlier_extremo    Z_robusto
## 1     1 6.575  0.413687635     FALSE       FALSE           FALSE  0.720905204
## 2     2 6.421  0.191057996     FALSE       FALSE           FALSE  0.416742460
## 3     3 7.185  1.295532306     FALSE       FALSE           FALSE  1.925705682
## 4     4 6.998  1.025196317     FALSE       FALSE           FALSE  1.556365208
## 5     5 6.430  0.204068819     FALSE       FALSE           FALSE  0.434518205
## 6     6 6.172 -0.168908108     FALSE       FALSE           FALSE -0.075053145
## 7     7 5.631 -0.951003136     FALSE       FALSE           FALSE -1.143572913
## 8     8 6.004 -0.411776804     FALSE       FALSE           FALSE -0.406867047
## 9     9 6.377  0.127449528     FALSE       FALSE           FALSE  0.329838819
## 10   10 6.009 -0.404548569     FALSE       FALSE           FALSE -0.396991633
## 11   11 5.949 -0.491287389     FALSE       FALSE           FALSE -0.515496598
## 12   12 6.096 -0.278777280     FALSE       FALSE           FALSE -0.225159434
## 13   13 5.990 -0.432015862     FALSE       FALSE           FALSE -0.434518205
## 14   14 5.727 -0.812221024     FALSE       FALSE           FALSE -0.953964969
## 15   15 5.965 -0.468157037     FALSE       FALSE           FALSE -0.483895274
## 16   16 5.813 -0.687895382     FALSE       FALSE           FALSE -0.784107852
## 17   17 5.924 -0.527428564     FALSE       FALSE           FALSE -0.564873667
## 18   18 5.599 -0.997263840     FALSE       FALSE           FALSE -1.206775561
## 19   19 6.047 -0.349613983     FALSE       FALSE           FALSE -0.321938488
## 20   20 6.674  0.556806688     FALSE       FALSE           FALSE  0.916438396
## 21   21 5.713 -0.832460082     FALSE       FALSE           FALSE -0.981616127
## 22   22 6.072 -0.313472808     FALSE       FALSE           FALSE -0.272561420
## 23   23 5.701 -0.849807846     FALSE       FALSE           FALSE -1.005317120
## 24   24 6.096 -0.278777280     FALSE       FALSE           FALSE -0.225159434
## 25   25 5.933 -0.514417741     FALSE       FALSE           FALSE -0.547097922
## 26   26 5.841 -0.647417266     FALSE       FALSE           FALSE -0.728805535
## 27   27 5.966 -0.466711390     FALSE       FALSE           FALSE -0.481920191
## 28   28 6.770  0.695588800     FALSE       FALSE           FALSE  1.106046341
## 29   29 6.169 -0.173245049     FALSE       FALSE           FALSE -0.080978393
## 30   30 5.682 -0.877275139     FALSE       FALSE           FALSE -1.042843693
## 31   31 5.786 -0.726927851     FALSE       FALSE           FALSE -0.837435086
## 32   32 5.602 -0.992926899     FALSE       FALSE           FALSE -1.200850313
## 33   33 5.963 -0.471048331     FALSE       FALSE           FALSE -0.487845440
## 34   34 5.888 -0.579471856     FALSE       FALSE           FALSE -0.635976646
## 35   35 7.249  1.388053715     FALSE       FALSE           FALSE  2.052110978
## 36   36 6.383  0.136123410     FALSE       FALSE           FALSE  0.341689316
## 37   37 6.816  0.762088562     FALSE       FALSE           FALSE  1.196900147
## 38   38 6.145 -0.207940577     FALSE       FALSE           FALSE -0.128380379
## 39   39 5.966 -0.466711390     FALSE       FALSE           FALSE -0.481920191
## 40   40 6.456  0.241655641     FALSE       FALSE           FALSE  0.485870357
## 41   41 7.104  1.178434899     FALSE       FALSE           FALSE  1.765723979
## 42   42 6.290  0.001678239     FALSE       FALSE           FALSE  0.158006620
## 43   43 5.787 -0.725482204     FALSE       FALSE           FALSE -0.835460004
## 44   44 5.878 -0.593928326     FALSE       FALSE           FALSE -0.655727473
## 45   45 5.885 -0.583808797     FALSE       FALSE           FALSE -0.641901894
## 46   46 6.417  0.185275408     FALSE       FALSE           FALSE  0.408842129
## 47   47 6.065 -0.323592337     FALSE       FALSE           FALSE -0.286386999
## 48   48 6.245 -0.063375876     FALSE       FALSE           FALSE  0.069127896
## 49   49 6.273 -0.022897760     FALSE       FALSE           FALSE  0.124430213
## 50   50 6.286 -0.004104349     FALSE       FALSE           FALSE  0.150106289
## 51   51 6.279 -0.014223878     FALSE       FALSE           FALSE  0.136280710
## 52   52 6.140 -0.215168812     FALSE       FALSE           FALSE -0.138255793
## 53   53 5.874 -0.599710915     FALSE       FALSE           FALSE -0.663627804
## 54   54 6.727  0.633425979     FALSE       FALSE           FALSE  1.021117782
## 55   55 6.619  0.477296103     FALSE       FALSE           FALSE  0.807808845
## 56   56 6.302  0.019026003     FALSE       FALSE           FALSE  0.181707613
## 57   57 6.389  0.144797292     FALSE       FALSE           FALSE  0.353539812
## 58   58 6.630  0.493198220     FALSE       FALSE           FALSE  0.829534755
## 59   59 6.015 -0.395874687     FALSE       FALSE           FALSE -0.385141136
## 60   60 6.121 -0.242636105     FALSE       FALSE           FALSE -0.175782365
## 61   61 7.007  1.038207140     FALSE       FALSE           FALSE  1.574140953
## 62   62 7.079  1.142293724     FALSE       FALSE           FALSE  1.716346911
## 63   63 6.417  0.185275408     FALSE       FALSE           FALSE  0.408842129
## 64   64 6.405  0.167927644     FALSE       FALSE           FALSE  0.385141136
## 65   65 6.442  0.221416583     FALSE       FALSE           FALSE  0.458219198
## 66   66 6.211 -0.112527875     FALSE       FALSE           FALSE  0.001975083
## 67   67 6.249 -0.057593288     FALSE       FALSE           FALSE  0.077028227
## 68   68 6.625  0.485969985     FALSE       FALSE           FALSE  0.819659342
## 69   69 6.163 -0.181918931     FALSE       FALSE           FALSE -0.092828889
## 70   70 8.069  2.573484257     FALSE        TRUE           FALSE  3.671678834
## 71   71 7.820  2.213518153     FALSE        TRUE           FALSE  3.179883229
## 72   72 7.416  1.629476764     FALSE       FALSE           FALSE  2.381949798
## 73   73 6.727  0.633425979     FALSE       FALSE           FALSE  1.021117782
## 74   74 6.781  0.711490917     FALSE       FALSE           FALSE  1.127772251
## 75   75 6.405  0.167927644     FALSE       FALSE           FALSE  0.385141136
## 76   76 6.137 -0.219505753     FALSE       FALSE           FALSE -0.144181041
## 77   77 6.167 -0.176136343     FALSE       FALSE           FALSE -0.084928558
## 78   78 5.851 -0.632960796     FALSE       FALSE           FALSE -0.709054708
## 79   79 6.127 -0.233962223     FALSE       FALSE           FALSE -0.163931868
## 80   80 6.195 -0.135658227     FALSE       FALSE           FALSE -0.029626241
## 81   81 6.715  0.616078215     FALSE       FALSE           FALSE  0.997416789
## 82   82 5.913 -0.543330681     FALSE       FALSE           FALSE -0.586599577
## 83   83 6.092 -0.284559868     FALSE       FALSE           FALSE -0.233059765
## 84   84 6.254 -0.050365053     FALSE       FALSE           FALSE  0.086903641
## 85   85 5.928 -0.521645976     FALSE       FALSE           FALSE -0.556973336
## 86   86 6.176 -0.163125520     FALSE       FALSE           FALSE -0.067152814
## 87   87 6.021 -0.387200805     FALSE       FALSE           FALSE -0.373290640
## 88   88 5.731 -0.806438436     FALSE       FALSE           FALSE -0.946064638
## 89   89 5.870 -0.605493503     FALSE       FALSE           FALSE -0.671528135
## 90   90 6.004 -0.411776804     FALSE       FALSE           FALSE -0.406867047
## 91   91 5.961 -0.473939625     FALSE       FALSE           FALSE -0.491795605
## 92   92 5.856 -0.625732561     FALSE       FALSE           FALSE -0.699179294
## 93   93 5.879 -0.592482679     FALSE       FALSE           FALSE -0.653752391
## 94   94 5.986 -0.437798450     FALSE       FALSE           FALSE -0.442418536
## 95   95 5.693 -0.861373022     FALSE       FALSE           FALSE -1.021117782
## 96   96 6.431  0.205514466     FALSE       FALSE           FALSE  0.436493288
## 97   97 5.637 -0.942329254     FALSE       FALSE           FALSE -1.131722416
## 98   98 6.458  0.244546935     FALSE       FALSE           FALSE  0.489820522
## 99   99 6.326  0.053721531     FALSE       FALSE           FALSE  0.229109599
## 100 100 6.372  0.120221293     FALSE       FALSE           FALSE  0.319963406
## 101 101 5.822 -0.674884559     FALSE       FALSE           FALSE -0.766332107
## 102 102 5.757 -0.768851614     FALSE       FALSE           FALSE -0.894712486
## 103 103 6.335  0.066732354     FALSE       FALSE           FALSE  0.246885344
## 104 104 5.942 -0.501406918     FALSE       FALSE           FALSE -0.529322177
## 105 105 6.454  0.238764347     FALSE       FALSE           FALSE  0.481920191
## 106 106 5.857 -0.624286914     FALSE       FALSE           FALSE -0.697204211
## 107 107 6.151 -0.199266695     FALSE       FALSE           FALSE -0.116529882
## 108 108 6.174 -0.166016814     FALSE       FALSE           FALSE -0.071102979
## 109 109 5.403 -1.280610653     FALSE       FALSE           FALSE -1.593891780
## 110 110 5.468 -1.186643598     FALSE       FALSE           FALSE -1.465511401
## 111 111 4.903 -2.003434154     FALSE       FALSE           FALSE -2.581433156
## 112 112 6.130 -0.229625282     FALSE       FALSE           FALSE -0.158006620
## 113 113 5.628 -0.955340077     FALSE       FALSE           FALSE -1.149498161
## 114 114 4.926 -1.970184273     FALSE       FALSE           FALSE -2.536006252
## 115 115 5.597 -1.000155134     FALSE       FALSE           FALSE -1.210725726
## 116 116 6.122 -0.241190458     FALSE       FALSE           FALSE -0.173807282
## 117 117 5.404 -1.279165006     FALSE       FALSE           FALSE -1.591916697
## 118 118 5.012 -1.845858631     FALSE       FALSE           FALSE -2.366149136
## 119 119 5.709 -0.838242670     FALSE       FALSE           FALSE -0.989516458
## 120 120 6.129 -0.231070929     FALSE       FALSE           FALSE -0.159981703
## 121 121 6.152 -0.197821048     FALSE       FALSE           FALSE -0.114554800
## 122 122 5.272 -1.469990410     FALSE       FALSE           FALSE -1.852627620
## 123 123 6.943  0.945685732     FALSE       FALSE           FALSE  1.447735657
## 124 124 6.066 -0.322146690     FALSE       FALSE           FALSE -0.284411916
## 125 125 6.510  0.319720579     FALSE       FALSE           FALSE  0.592524825
## 126 126 6.250 -0.056147641     FALSE       FALSE           FALSE  0.079003310
## 127 127 7.489  1.735008995     FALSE       FALSE           FALSE  2.526130839
## 128 128 7.802  2.187496507     FALSE        TRUE           FALSE  3.144331740
## 129 129 8.375  3.015852240      TRUE        TRUE           FALSE  4.276054156
## 130 130 5.854 -0.628623855     FALSE       FALSE           FALSE -0.703129459
## 131 131 6.101 -0.271549045     FALSE       FALSE           FALSE -0.215284020
## 132 132 7.929  2.371093677     FALSE        TRUE           FALSE  3.395167249
## 133 133 5.877 -0.595373974     FALSE       FALSE           FALSE -0.657702556
## 134 134 6.319  0.043602002     FALSE       FALSE           FALSE  0.215284020
## 135 135 5.875 -0.598265268     FALSE       FALSE           FALSE -0.661652722
## 136 136 5.880 -0.591037032     FALSE       FALSE           FALSE -0.651777308
## 137 137 5.572 -1.036296309     FALSE       FALSE           FALSE -1.260102795
## 138 138 6.416  0.183829761     FALSE       FALSE           FALSE  0.406867047
## 139 139 5.859 -0.621395620     FALSE       FALSE           FALSE -0.693254046
## 140 140 6.546  0.371763871     FALSE       FALSE           FALSE  0.663627804
## 141 141 6.020 -0.388646452     FALSE       FALSE           FALSE -0.375265723
## 142 142 6.860  0.825697030     FALSE       FALSE           FALSE  1.283803788
## 143 143 6.980  0.999174671     FALSE       FALSE           FALSE  1.520813718
## 144 144 7.765  2.134007568     FALSE        TRUE           FALSE  3.071253678
## 145 145 6.563  0.396339871     FALSE       FALSE           FALSE  0.697204211
## 146 146 5.604 -0.990035605     FALSE       FALSE           FALSE -1.196900147
## 147 147 6.153 -0.196375401     FALSE       FALSE           FALSE -0.112579717
## 148 148 6.782  0.712936564     FALSE       FALSE           FALSE  1.129747334
## 149 149 6.556  0.386220342     FALSE       FALSE           FALSE  0.683378632
## 150 150 7.185  1.295532306     FALSE       FALSE           FALSE  1.925705682
## 151 151 6.951  0.957250908     FALSE       FALSE           FALSE  1.463536319
## 152 152 6.739  0.650773743     FALSE       FALSE           FALSE  1.044818775
## 153 153 7.178  1.285412777     FALSE       FALSE           FALSE  1.911880103
## 154 154 6.800  0.738958210     FALSE       FALSE           FALSE  1.165298823
## 155 155 6.604  0.455611398     FALSE       FALSE           FALSE  0.778182604
## 156 156 7.875  2.293028738     FALSE        TRUE           FALSE  3.288512780
## 157 157 7.287  1.442988301     FALSE       FALSE           FALSE  2.127164123
## 158 158 7.107  1.182771840     FALSE       FALSE           FALSE  1.771649228
## 159 159 7.274  1.424194890     FALSE       FALSE           FALSE  2.101488047
## 160 160 6.975  0.991946436     FALSE       FALSE           FALSE  1.510938305
## 161 161 7.135  1.223249956     FALSE       FALSE           FALSE  1.826951545
## 162 162 6.162 -0.183364578     FALSE       FALSE           FALSE -0.094803972
## 163 163 7.610  1.909932283     FALSE       FALSE           FALSE  2.765115851
## 164 164 7.853  2.261224504     FALSE        TRUE           FALSE  3.245060960
## 165 165 5.783 -0.731264792     FALSE       FALSE           FALSE -0.843360335
## 166 166 6.064 -0.325037984     FALSE       FALSE           FALSE -0.288362082
## 167 167 5.344 -1.365903826     FALSE       FALSE           FALSE -1.710421662
## 168 168 5.960 -0.475385272     FALSE       FALSE           FALSE -0.493770688
## 169 169 5.807 -0.696569264     FALSE       FALSE           FALSE -0.795958349
## 170 170 6.375  0.124558234     FALSE       FALSE           FALSE  0.325888654
## 171 171 5.412 -1.267599830     FALSE       FALSE           FALSE -1.576116035
## 172 172 6.182 -0.154451638     FALSE       FALSE           FALSE -0.055302317
## 173 173 5.888 -0.579471856     FALSE       FALSE           FALSE -0.635976646
## 174 174 5.951 -0.488396095     FALSE       FALSE           FALSE -0.511546433
## 175 175 6.373  0.121666940     FALSE       FALSE           FALSE  0.321938488
## 176 176 6.951  0.957250908     FALSE       FALSE           FALSE  1.463536319
## 177 177 6.164 -0.180473284     FALSE       FALSE           FALSE -0.090853807
## 178 178 6.879  0.853164323     FALSE       FALSE           FALSE  1.321330360
## 179 179 6.618  0.475850456     FALSE       FALSE           FALSE  0.805833762
## 180 180 8.266  2.858276717     FALSE        TRUE           FALSE  4.060770136
## 181 181 8.040  2.531560494     FALSE        TRUE           FALSE  3.614401434
## 182 182 7.163  1.263728072     FALSE       FALSE           FALSE  1.882253862
## 183 183 7.686  2.019801455     FALSE       FALSE           FALSE  2.915222141
## 184 184 5.981 -0.445026685     FALSE       FALSE           FALSE -0.452293950
## 185 185 7.412  1.623694176     FALSE       FALSE           FALSE  2.374049467
## 186 186 8.337  2.960917654     FALSE        TRUE           FALSE  4.201001011
## 187 187 8.247  2.830809424     FALSE        TRUE           FALSE  4.023243564
## 188 188 6.726  0.631980332     FALSE       FALSE           FALSE  1.019142700
## 189 189 6.086 -0.293233750     FALSE       FALSE           FALSE -0.244910261
## 190 190 6.631  0.494643867     FALSE       FALSE           FALSE  0.831509838
## 191 191 7.358  1.545629238     FALSE       FALSE           FALSE  2.267394998
## 192 192 6.606  0.458502692     FALSE       FALSE           FALSE  0.782132769
## 193 193 6.897  0.879185970     FALSE       FALSE           FALSE  1.356881850
## 194 194 6.095 -0.280222927     FALSE       FALSE           FALSE -0.227134516
## 195 195 6.358  0.099982235     FALSE       FALSE           FALSE  0.292312247
## 196 196 6.393  0.150579880     FALSE       FALSE           FALSE  0.361440143
## 197 197 5.593 -1.005937722     FALSE       FALSE           FALSE -1.218626057
## 198 198 6.108 -0.261429516     FALSE       FALSE           FALSE -0.201458441
## 199 199 6.226 -0.090843169     FALSE       FALSE           FALSE  0.031601324
## 200 200 6.433  0.208405760     FALSE       FALSE           FALSE  0.440443453
## 201 201 6.718  0.620415156     FALSE       FALSE           FALSE  1.003342038
## 202 202 6.438  0.215633995     FALSE       FALSE           FALSE  0.450318867
## 203 203 6.957  0.965924790     FALSE       FALSE           FALSE  1.475386815
## 204 204 6.108 -0.261429516     FALSE       FALSE           FALSE -0.201458441
## 205 205 5.876 -0.596819621     FALSE       FALSE           FALSE -0.659677639
## 206 206 7.454  1.684411350     FALSE       FALSE           FALSE  2.457002942
## 207 207 8.704  3.491470104      TRUE        TRUE           FALSE  4.925856381
## 208 208 6.842  0.799675384     FALSE       FALSE           FALSE  1.248252299
## 209 209 7.203  1.321553952     FALSE       FALSE           FALSE  1.961257172
## 210 210 7.520  1.779824052     FALSE       FALSE           FALSE  2.587358404
## 211 211 8.398  3.049102121      TRUE        TRUE           FALSE  4.321481059
## 212 212 7.014  1.048326669     FALSE       FALSE           FALSE  1.587966532
## 213 213 7.470  1.707541702     FALSE       FALSE           FALSE  2.488604266
## 214 214 5.920 -0.533211152     FALSE       FALSE           FALSE -0.572773998
## 215 215 5.856 -0.625732561     FALSE       FALSE           FALSE -0.699179294
## 216 216 6.240 -0.070604111     FALSE       FALSE           FALSE  0.059252483
## 217 217 6.538  0.360198695     FALSE       FALSE           FALSE  0.647827142
## 218 218 7.267  1.414075361     FALSE       FALSE           FALSE  2.087662468
## 219 219 6.826  0.776545032     FALSE       FALSE           FALSE  1.216650975
## 220 220 6.482  0.279242463     FALSE       FALSE           FALSE  0.537222508
## 221 221 7.820  2.213518153     FALSE        TRUE           FALSE  3.179883229
## 222 222 6.968  0.981826907     FALSE       FALSE           FALSE  1.497112725
## 223 223 7.645  1.960529928     FALSE       FALSE           FALSE  2.834243748
## 224 224 7.923  2.362419795     FALSE        TRUE           FALSE  3.383316753
## 225 225 7.088  1.155304547     FALSE       FALSE           FALSE  1.734122655
## 226 226 6.453  0.237318700     FALSE       FALSE           FALSE  0.479945109
## 227 227 6.230 -0.085060581     FALSE       FALSE           FALSE  0.039501655
## 228 228 6.209 -0.115419169     FALSE       FALSE           FALSE -0.001975083
## 229 229 6.315  0.037819414     FALSE       FALSE           FALSE  0.207383689
## 230 230 6.565  0.399231165     FALSE       FALSE           FALSE  0.701154377
## 231 231 6.861  0.827142677     FALSE       FALSE           FALSE  1.285778871
## 232 232 7.148  1.242043367     FALSE       FALSE           FALSE  1.852627620
## 233 233 6.630  0.493198220     FALSE       FALSE           FALSE  0.829534755
## 234 234 6.678  0.562589276     FALSE       FALSE           FALSE  0.924338727
## 235 235 6.549  0.376100812     FALSE       FALSE           FALSE  0.669553053
## 236 236 5.790 -0.721145263     FALSE       FALSE           FALSE -0.829534755
## 237 237 6.345  0.081188824     FALSE       FALSE           FALSE  0.266636171
## 238 238 6.590  0.435372340     FALSE       FALSE           FALSE  0.750531445
## 239 239 6.982  1.002065965     FALSE       FALSE           FALSE  1.524763884
## 240 240 7.236  1.369260304     FALSE       FALSE           FALSE  2.026434903
## 241 241 6.849  0.809794913     FALSE       FALSE           FALSE  1.262077878
## 242 242 6.635  0.500426455     FALSE       FALSE           FALSE  0.839410169
## 243 243 5.972 -0.458037508     FALSE       FALSE           FALSE -0.470069695
## 244 244 6.122 -0.241190458     FALSE       FALSE           FALSE -0.173807282
## 245 245 6.023 -0.384309511     FALSE       FALSE           FALSE -0.369340474
## 246 246 6.266 -0.033017289     FALSE       FALSE           FALSE  0.110604634
## 247 247 6.567  0.402122459     FALSE       FALSE           FALSE  0.705104542
## 248 248 5.705 -0.844025258     FALSE       FALSE           FALSE -0.997416789
## 249 249 5.782 -0.732710439     FALSE       FALSE           FALSE -0.845335417
## 250 250 6.382  0.134677763     FALSE       FALSE           FALSE  0.339714233
## 251 251 6.113 -0.254201281     FALSE       FALSE           FALSE -0.191583027
## 252 252 6.426  0.198286231     FALSE       FALSE           FALSE  0.426617874
## 253 253 6.376  0.126003881     FALSE       FALSE           FALSE  0.327863737
## 254 254 6.041 -0.358287865     FALSE       FALSE           FALSE -0.333788985
## 255 255 5.708 -0.839688317     FALSE       FALSE           FALSE -0.991491541
## 256 256 6.415  0.182384114     FALSE       FALSE           FALSE  0.404891964
## 257 257 6.431  0.205514466     FALSE       FALSE           FALSE  0.436493288
## 258 258 6.312  0.033482473     FALSE       FALSE           FALSE  0.201458441
## 259 259 6.083 -0.297570691     FALSE       FALSE           FALSE -0.250835509
## 260 260 5.868 -0.608384797     FALSE       FALSE           FALSE -0.675478301
## 261 261 6.333  0.063841060     FALSE       FALSE           FALSE  0.242935178
## 262 262 6.144 -0.209386224     FALSE       FALSE           FALSE -0.130355462
## 263 263 5.706 -0.842579611     FALSE       FALSE           FALSE -0.995441707
## 264 264 6.316  0.039265061     FALSE       FALSE           FALSE  0.209358772
## 265 265 6.310  0.030591179     FALSE       FALSE           FALSE  0.197508275
## 266 266 6.037 -0.364070453     FALSE       FALSE           FALSE -0.341689316
## 267 267 5.869 -0.606939150     FALSE       FALSE           FALSE -0.673503218
## 268 268 5.895 -0.569352327     FALSE       FALSE           FALSE -0.622151067
## 269 269 5.985 -0.439244097     FALSE       FALSE           FALSE -0.444393619
## 270 270 5.968 -0.463820096     FALSE       FALSE           FALSE -0.477970026
## 271 271 7.241  1.376488539     FALSE       FALSE           FALSE  2.036310316
## 272 272 6.540  0.363089989     FALSE       FALSE           FALSE  0.651777308
## 273 273 6.696  0.588610922     FALSE       FALSE           FALSE  0.959890217
## 274 274 6.874  0.845936088     FALSE       FALSE           FALSE  1.311454947
## 275 275 6.014 -0.397320334     FALSE       FALSE           FALSE -0.387116219
## 276 276 5.898 -0.565015386     FALSE       FALSE           FALSE -0.616225818
## 277 277 6.516  0.328394461     FALSE       FALSE           FALSE  0.604375322
## 278 278 6.635  0.500426455     FALSE       FALSE           FALSE  0.839410169
## 279 279 6.939  0.939903144     FALSE       FALSE           FALSE  1.439835326
## 280 280 6.579  0.419470223     FALSE       FALSE           FALSE  0.728805535
## 281 281 6.728  0.634871626     FALSE       FALSE           FALSE  1.023092865
## 282 282 5.663 -0.904742432     FALSE       FALSE           FALSE -1.080370265
## 283 283 5.936 -0.510080800     FALSE       FALSE           FALSE -0.541172674
## 284 284 6.212 -0.111082228     FALSE       FALSE           FALSE  0.003950166
## 285 285 6.395  0.153471174     FALSE       FALSE           FALSE  0.365390309
## 286 286 6.127 -0.233962223     FALSE       FALSE           FALSE -0.163931868
## 287 287 6.398  0.157808115     FALSE       FALSE           FALSE  0.371315557
## 288 288 6.251 -0.054701994     FALSE       FALSE           FALSE  0.080978393
## 289 289 5.362 -1.339882180     FALSE       FALSE           FALSE -1.674870173
## 290 290 5.803 -0.702351852     FALSE       FALSE           FALSE -0.803858680
## 291 291 8.780  3.601339276      TRUE        TRUE           FALSE  5.075962670
## 292 292 3.561 -3.943492432      TRUE        TRUE            TRUE -5.231994207
## 293 293 4.963 -1.916695334     FALSE       FALSE           FALSE -2.462928191
## 294 294 3.863 -3.506907037      TRUE        TRUE           FALSE -4.635519217
## 295 295 4.970 -1.906575805     FALSE       FALSE           FALSE -2.449102611
## 296 296 7.016  1.051217963     FALSE       FALSE           FALSE  1.591916697
## 297 297 6.216 -0.105299639     FALSE       FALSE           FALSE  0.011850497
## 298 298 5.875 -0.598265268     FALSE       FALSE           FALSE -0.661652722
## 299 299 4.906 -1.999097213     FALSE       FALSE           FALSE -2.575507907
## 300 300 4.138 -3.109354112      TRUE        TRUE           FALSE -4.092371460
## 301 301 7.313  1.480575123     FALSE       FALSE           FALSE  2.178516274
## 302 302 6.649  0.520665513     FALSE       FALSE           FALSE  0.867061328
## 303 303 6.794  0.730284328     FALSE       FALSE           FALSE  1.153448327
## 304 304 6.380  0.131786469     FALSE       FALSE           FALSE  0.335764068
## 305 305 6.968  0.981826907     FALSE       FALSE           FALSE  1.497112725
## 306 306 5.536 -1.088339602     FALSE       FALSE           FALSE -1.331205774
## 307 307 5.520 -1.111469954     FALSE       FALSE           FALSE -1.362807098
## 308 308 4.652 -2.366291552     FALSE        TRUE           FALSE -3.077178926
## 309 309 5.000 -1.863206395     FALSE       FALSE           FALSE -2.389850129
## 310 310 4.880 -2.036684035     FALSE       FALSE           FALSE -2.626860059
## 311 311 6.051 -0.343831395     FALSE       FALSE           FALSE -0.314038157
## 312 312 5.036 -1.811163103     FALSE       FALSE           FALSE -2.318747150
## 313 313 6.193 -0.138549521     FALSE       FALSE           FALSE -0.033576407
## 314 314 5.887 -0.580917503     FALSE       FALSE           FALSE -0.637951729
## 315 315 6.471  0.263340346     FALSE       FALSE           FALSE  0.515496598
## 316 316 6.405  0.167927644     FALSE       FALSE           FALSE  0.385141136
## 317 317 5.852 -0.631515149     FALSE       FALSE           FALSE -0.707079625
## 318 318 5.987 -0.436352803     FALSE       FALSE           FALSE -0.440443453
## 319 319 6.404  0.166481997     FALSE       FALSE           FALSE  0.383166054
## 320 320 5.349 -1.358675591     FALSE       FALSE           FALSE -1.700546249
## 321 321 5.531 -1.095567837     FALSE       FALSE           FALSE -1.341081188
## 322 322 5.683 -0.875829492     FALSE       FALSE           FALSE -1.040868610
## 323 323 5.617 -0.971242194     FALSE       FALSE           FALSE -1.171224071
## 324 324 5.757 -0.768851614     FALSE       FALSE           FALSE -0.894712486
## 325 325 6.657  0.532230689     FALSE       FALSE           FALSE  0.882861990
## 326 326 4.628 -2.400987080     FALSE        TRUE           FALSE -3.124580912
## 327 327 5.155 -1.639131110     FALSE       FALSE           FALSE -2.083712302
## 328 328 4.519 -2.558562604     FALSE        TRUE           FALSE -3.339864932
## 329 329 6.434  0.209851407     FALSE       FALSE           FALSE  0.442418536
## 330 330 6.782  0.712936564     FALSE       FALSE           FALSE  1.129747334
## 331 331 5.304 -1.423729706     FALSE       FALSE           FALSE -1.789424972
## 332 332 5.957 -0.479722213     FALSE       FALSE           FALSE -0.499695936
## 333 333 6.824  0.773653738     FALSE       FALSE           FALSE  1.212700809
## 334 334 6.411  0.176601526     FALSE       FALSE           FALSE  0.396991633
## 335 335 6.006 -0.408885510     FALSE       FALSE           FALSE -0.402916881
## 336 336 5.648 -0.926427137     FALSE       FALSE           FALSE -1.109996506
## 337 337 6.103 -0.268657751     FALSE       FALSE           FALSE -0.211333854
## 338 338 5.565 -1.046415838     FALSE       FALSE           FALSE -1.273928374
## 339 339 5.896 -0.567906680     FALSE       FALSE           FALSE -0.620175984
## 340 340 5.837 -0.653199854     FALSE       FALSE           FALSE -0.736705866
## 341 341 6.202 -0.125538698     FALSE       FALSE           FALSE -0.015800662
## 342 342 6.380  0.131786469     FALSE       FALSE           FALSE  0.335764068
## 343 343 6.348  0.085525765     FALSE       FALSE           FALSE  0.272561420
## 344 344 6.833  0.786664561     FALSE       FALSE           FALSE  1.230476554
## 345 345 6.425  0.196840584     FALSE       FALSE           FALSE  0.424642791
## 346 346 6.436  0.212742701     FALSE       FALSE           FALSE  0.446368702
## 347 347 6.208 -0.116864816     FALSE       FALSE           FALSE -0.003950166
## 348 348 6.629  0.491752573     FALSE       FALSE           FALSE  0.827559673
## 349 349 6.461  0.248883876     FALSE       FALSE           FALSE  0.495745771
## 350 350 5.935 -0.511526447     FALSE       FALSE           FALSE -0.543147757
## 351 351 5.627 -0.956785724     FALSE       FALSE           FALSE -1.151473244
## 352 352 5.818 -0.680667147     FALSE       FALSE           FALSE -0.774232438
## 353 353 6.219 -0.100962698     FALSE       FALSE           FALSE  0.017775745
## 354 354 5.854 -0.628623855     FALSE       FALSE           FALSE -0.703129459
## 355 355 6.459  0.245992582     FALSE       FALSE           FALSE  0.491795605
## 356 356 6.341  0.075406236     FALSE       FALSE           FALSE  0.258735840
## 357 357 6.251 -0.054701994     FALSE       FALSE           FALSE  0.080978393
## 358 358 6.417  0.185275408     FALSE       FALSE           FALSE  0.408842129
## 359 359 6.749  0.665230213     FALSE       FALSE           FALSE  1.064569603
## 360 360 6.655  0.529339395     FALSE       FALSE           FALSE  0.878911824
## 361 361 7.393  1.596226883     FALSE       FALSE           FALSE  2.336522894
## 362 362 6.728  0.634871626     FALSE       FALSE           FALSE  1.023092865
## 363 363 6.525  0.341405284     FALSE       FALSE           FALSE  0.622151067
## 364 364 5.976 -0.452254920     FALSE       FALSE           FALSE -0.462169364
## 365 365 5.936 -0.510080800     FALSE       FALSE           FALSE -0.541172674
## 366 366 6.081 -0.300461985     FALSE       FALSE           FALSE -0.254785675
## 367 367 6.317  0.040710708     FALSE       FALSE           FALSE  0.211333854
## 368 368 6.209 -0.115419169     FALSE       FALSE           FALSE -0.001975083
## 369 369 5.759 -0.765960320     FALSE       FALSE           FALSE -0.890762321
## 370 370 5.952 -0.486950448     FALSE       FALSE           FALSE -0.509571350
## 371 371 5.926 -0.524537270     FALSE       FALSE           FALSE -0.560923501
## 372 372 5.713 -0.832460082     FALSE       FALSE           FALSE -0.981616127
## 373 373 6.167 -0.176136343     FALSE       FALSE           FALSE -0.084928558
## 374 374 6.229 -0.086506228     FALSE       FALSE           FALSE  0.037526572
## 375 375 6.437  0.214188348     FALSE       FALSE           FALSE  0.448343784
## 376 376 6.980  0.999174671     FALSE       FALSE           FALSE  1.520813718
## 377 377 5.427 -1.245915125     FALSE       FALSE           FALSE -1.546489794
## 378 378 6.162 -0.183364578     FALSE       FALSE           FALSE -0.094803972
## 379 379 6.484  0.282133757     FALSE       FALSE           FALSE  0.541172674
## 380 380 5.304 -1.423729706     FALSE       FALSE           FALSE -1.789424972
## 381 381 6.185 -0.150114697     FALSE       FALSE           FALSE -0.049377069
## 382 382 6.229 -0.086506228     FALSE       FALSE           FALSE  0.037526572
## 383 383 6.242 -0.067712817     FALSE       FALSE           FALSE  0.063202648
## 384 384 6.750  0.666675860     FALSE       FALSE           FALSE  1.066544686
## 385 385 7.061  1.116272078     FALSE       FALSE           FALSE  1.680795421
## 386 386 5.762 -0.761623379     FALSE       FALSE           FALSE -0.884837072
## 387 387 5.871 -0.604047856     FALSE       FALSE           FALSE -0.669553053
## 388 388 6.312  0.033482473     FALSE       FALSE           FALSE  0.201458441
## 389 389 5.905 -0.554895857     FALSE       FALSE           FALSE -0.602400239
## 390 390 5.454 -1.206882656     FALSE       FALSE           FALSE -1.493162560
## 391 391 5.414 -1.264708536     FALSE       FALSE           FALSE -1.572165870
## 392 392 5.093 -1.728761224     FALSE       FALSE           FALSE -2.206167433
## 393 393 5.983 -0.442135391     FALSE       FALSE           FALSE -0.448343784
## 394 394 5.983 -0.442135391     FALSE       FALSE           FALSE -0.448343784
## 395 395 5.926 -0.524537270     FALSE       FALSE           FALSE -0.560923501
## 396 396 5.670 -0.894622903     FALSE       FALSE           FALSE -1.066544686
## 397 397 5.390 -1.299404064     FALSE       FALSE           FALSE -1.619567856
## 398 398 6.019 -0.390092099     FALSE       FALSE           FALSE -0.377240805
## 399 399 5.569 -1.040633250     FALSE       FALSE           FALSE -1.266028043
## 400 400 6.027 -0.378526923     FALSE       FALSE           FALSE -0.361440143
## 401 401 6.593  0.439709281     FALSE       FALSE           FALSE  0.756456694
## 402 402 6.120 -0.244081752     FALSE       FALSE           FALSE -0.177757448
## 403 403 6.794  0.730284328     FALSE       FALSE           FALSE  1.153448327
## 404 404 6.030 -0.374189982     FALSE       FALSE           FALSE -0.355514895
##     outlier_MAD
## 1         FALSE
## 2         FALSE
## 3         FALSE
## 4         FALSE
## 5         FALSE
## 6         FALSE
## 7         FALSE
## 8         FALSE
## 9         FALSE
## 10        FALSE
## 11        FALSE
## 12        FALSE
## 13        FALSE
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## 50        FALSE
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## 55        FALSE
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## 57        FALSE
## 58        FALSE
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## 60        FALSE
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## 62        FALSE
## 63        FALSE
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## 69        FALSE
## 70         TRUE
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## 72        FALSE
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## 129        TRUE
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## 180        TRUE
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## 388       FALSE
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## 390       FALSE
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## 392       FALSE
## 393       FALSE
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## 398       FALSE
## 399       FALSE
## 400       FALSE
## 401       FALSE
## 402       FALSE
## 403       FALSE
## 404       FALSE
## 
## ===== AL MENOS UN MÉTODO =====
##     ID Valor   Z_score outlier_Z outlier_IQR Z_robusto outlier_MAD
## 1   70 8.069  2.573484     FALSE        TRUE  3.671679        TRUE
## 2   71 7.820  2.213518     FALSE        TRUE  3.179883       FALSE
## 3  128 7.802  2.187497     FALSE        TRUE  3.144332       FALSE
## 4  129 8.375  3.015852      TRUE        TRUE  4.276054        TRUE
## 5  132 7.929  2.371094     FALSE        TRUE  3.395167       FALSE
## 6  144 7.765  2.134008     FALSE        TRUE  3.071254       FALSE
## 7  156 7.875  2.293029     FALSE        TRUE  3.288513       FALSE
## 8  164 7.853  2.261225     FALSE        TRUE  3.245061       FALSE
## 9  180 8.266  2.858277     FALSE        TRUE  4.060770        TRUE
## 10 181 8.040  2.531560     FALSE        TRUE  3.614401        TRUE
## 11 186 8.337  2.960918     FALSE        TRUE  4.201001        TRUE
## 12 187 8.247  2.830809     FALSE        TRUE  4.023244        TRUE
## 13 207 8.704  3.491470      TRUE        TRUE  4.925856        TRUE
## 14 211 8.398  3.049102      TRUE        TRUE  4.321481        TRUE
## 15 221 7.820  2.213518     FALSE        TRUE  3.179883       FALSE
## 16 224 7.923  2.362420     FALSE        TRUE  3.383317       FALSE
## 17 291 8.780  3.601339      TRUE        TRUE  5.075963        TRUE
## 18 292 3.561 -3.943492      TRUE        TRUE -5.231994        TRUE
## 19 294 3.863 -3.506907      TRUE        TRUE -4.635519        TRUE
## 20 300 4.138 -3.109354      TRUE        TRUE -4.092371        TRUE
## 21 308 4.652 -2.366292     FALSE        TRUE -3.077179       FALSE
## 22 326 4.628 -2.400987     FALSE        TRUE -3.124581       FALSE
## 23 328 4.519 -2.558563     FALSE        TRUE -3.339865       FALSE
##    metodos_evaluados numero_metodos
## 1                  3              2
## 2                  3              1
## 3                  3              1
## 4                  3              3
## 5                  3              1
## 6                  3              1
## 7                  3              1
## 8                  3              1
## 9                  3              2
## 10                 3              2
## 11                 3              2
## 12                 3              2
## 13                 3              3
## 14                 3              3
## 15                 3              1
## 16                 3              1
## 17                 3              3
## 18                 3              3
## 19                 3              3
## 20                 3              3
## 21                 3              1
## 22                 3              1
## 23                 3              1
## 
## ===== AL MENOS DOS MÉTODOS =====
##     ID Valor   Z_score outlier_Z outlier_IQR Z_robusto outlier_MAD
## 1   70 8.069  2.573484     FALSE        TRUE  3.671679        TRUE
## 2  129 8.375  3.015852      TRUE        TRUE  4.276054        TRUE
## 3  180 8.266  2.858277     FALSE        TRUE  4.060770        TRUE
## 4  181 8.040  2.531560     FALSE        TRUE  3.614401        TRUE
## 5  186 8.337  2.960918     FALSE        TRUE  4.201001        TRUE
## 6  187 8.247  2.830809     FALSE        TRUE  4.023244        TRUE
## 7  207 8.704  3.491470      TRUE        TRUE  4.925856        TRUE
## 8  211 8.398  3.049102      TRUE        TRUE  4.321481        TRUE
## 9  291 8.780  3.601339      TRUE        TRUE  5.075963        TRUE
## 10 292 3.561 -3.943492      TRUE        TRUE -5.231994        TRUE
## 11 294 3.863 -3.506907      TRUE        TRUE -4.635519        TRUE
## 12 300 4.138 -3.109354      TRUE        TRUE -4.092371        TRUE
##    metodos_evaluados numero_metodos
## 1                  3              2
## 2                  3              3
## 3                  3              2
## 4                  3              2
## 5                  3              2
## 6                  3              2
## 7                  3              3
## 8                  3              3
## 9                  3              3
## 10                 3              3
## 11                 3              3
## 12                 3              3
## 
## ===== LOS TRES MÉTODOS =====
##    ID Valor   Z_score Z_robusto
## 1 129 8.375  3.015852  4.276054
## 2 207 8.704  3.491470  4.925856
## 3 211 8.398  3.049102  4.321481
## 4 291 8.780  3.601339  5.075963
## 5 292 3.561 -3.943492 -5.231994
## 6 294 3.863 -3.506907 -4.635519
## 7 300 4.138 -3.109354 -4.092371
## 
## ================ RESUMEN ================
##  Variable        Metodo N_evaluados N_outliers Porcentaje
##        rm       Z-score         404          7       1.73
##        rm           IQR         404         23       5.69
##        rm Tukey extremo         404          1       0.25
##        rm           MAD         404         12       2.97
## Warning: No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.

## 
## ================ CLASIFICACIÓN FINAL ================
##     ID Valor   Z_score Z_robusto metodos_evaluados numero_metodos
## 1   70 8.069  2.573484  3.671679                 3              2
## 2   71 7.820  2.213518  3.179883                 3              1
## 3  128 7.802  2.187497  3.144332                 3              1
## 4  129 8.375  3.015852  4.276054                 3              3
## 5  132 7.929  2.371094  3.395167                 3              1
## 6  144 7.765  2.134008  3.071254                 3              1
## 7  156 7.875  2.293029  3.288513                 3              1
## 8  164 7.853  2.261225  3.245061                 3              1
## 9  180 8.266  2.858277  4.060770                 3              2
## 10 181 8.040  2.531560  3.614401                 3              2
## 11 186 8.337  2.960918  4.201001                 3              2
## 12 187 8.247  2.830809  4.023244                 3              2
## 13 207 8.704  3.491470  4.925856                 3              3
## 14 211 8.398  3.049102  4.321481                 3              3
## 15 221 7.820  2.213518  3.179883                 3              1
## 16 224 7.923  2.362420  3.383317                 3              1
## 17 291 8.780  3.601339  5.075963                 3              3
## 18 292 3.561 -3.943492 -5.231994                 3              3
## 19 294 3.863 -3.506907 -4.635519                 3              3
## 20 300 4.138 -3.109354 -4.092371                 3              3
## 21 308 4.652 -2.366292 -3.077179                 3              1
## 22 326 4.628 -2.400987 -3.124581                 3              1
## 23 328 4.519 -2.558563 -3.339865                 3              1
##              clasificacion
## 1  Outlier según 2 métodos
## 2   Outlier según 1 método
## 3   Outlier según 1 método
## 4  Outlier según 3 métodos
## 5   Outlier según 1 método
## 6   Outlier según 1 método
## 7   Outlier según 1 método
## 8   Outlier según 1 método
## 9  Outlier según 2 métodos
## 10 Outlier según 2 métodos
## 11 Outlier según 2 métodos
## 12 Outlier según 2 métodos
## 13 Outlier según 3 métodos
## 14 Outlier según 3 métodos
## 15  Outlier según 1 método
## 16  Outlier según 1 método
## 17 Outlier según 3 métodos
## 18 Outlier según 3 métodos
## 19 Outlier según 3 métodos
## 20 Outlier según 3 métodos
## 21  Outlier según 1 método
## 22  Outlier según 1 método
## 23  Outlier según 1 método
## 
## ========================================
##  VARIABLE: age 
## ========================================
## 
## ================ MÉTODO Z ================
## Límite inferior = -13.7473 
## Límite superior = 152.1978 
## Número de outliers = 0 
## [1] ID      Valor   Z_score
## <0 rows> (o 0- extensión row.names)
## 
## ================ MÉTODO IQR ================
## Q1 = 45.8 
## Q3 = 94.025 
## IQR = 48.225 
## Límite inferior = -26.5375 
## Límite superior = 166.3625 
## Número de outliers = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## =========== OUTLIERS EXTREMOS TUKEY ===========
## Límite inferior = -98.875 
## Límite superior = 238.7 
## Número de outliers extremos = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## ================ MÉTODO MAD ================
## Mediana = 77.75 
## MAD = 19 
## MAD ajustada = 28.1694 
## Número de outliers = 0 
## [1] ID        Valor     Z_robusto
## <0 rows> (o 0- extensión row.names)
## 
## ================ COMPARACIÓN ================
##      ID Valor      Z_score outlier_Z outlier_IQR outlier_extremo    Z_robusto
## 1     1  65.2 -0.145539008     FALSE       FALSE           FALSE -0.445518896
## 2     2  78.9  0.349805539     FALSE       FALSE           FALSE  0.040824441
## 3     3  61.1 -0.293780807     FALSE       FALSE           FALSE -0.591066902
## 4     4  45.8 -0.846975813     FALSE       FALSE           FALSE -1.134209461
## 5     5  58.7 -0.380556494     FALSE       FALSE           FALSE -0.676265735
## 6     6  96.1  0.971697964     FALSE       FALSE           FALSE  0.651416076
## 7     7 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 8     8  85.9  0.602901293     FALSE       FALSE           FALSE  0.289321036
## 9     9  94.3  0.906616198     FALSE       FALSE           FALSE  0.587516951
## 10   10  82.9  0.494431684     FALSE       FALSE           FALSE  0.182822495
## 11   11  61.8 -0.268471232     FALSE       FALSE           FALSE -0.566217243
## 12   12  84.5  0.552282143     FALSE       FALSE           FALSE  0.239621717
## 13   13  81.7  0.451043841     FALSE       FALSE           FALSE  0.140223079
## 14   14  69.5  0.009934098     FALSE       FALSE           FALSE -0.292870988
## 15   15  89.2  0.722217863     FALSE       FALSE           FALSE  0.406469431
## 16   16 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 17   17  94.1  0.899384891     FALSE       FALSE           FALSE  0.580417048
## 18   18  85.7  0.595669986     FALSE       FALSE           FALSE  0.282221134
## 19   19  88.8  0.707755249     FALSE       FALSE           FALSE  0.392269626
## 20   20  87.3  0.653520444     FALSE       FALSE           FALSE  0.339020355
## 21   21  94.1  0.899384891     FALSE       FALSE           FALSE  0.580417048
## 22   22 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 23   23  95.0  0.931925774     FALSE       FALSE           FALSE  0.612366611
## 24   24  96.9  1.000623193     FALSE       FALSE           FALSE  0.679815687
## 25   25  68.2 -0.037069399     FALSE       FALSE           FALSE -0.339020355
## 26   26  61.4 -0.282933846     FALSE       FALSE           FALSE -0.580417048
## 27   27  30.2 -1.411017779     FALSE       FALSE           FALSE -1.688001874
## 28   28   2.9 -2.398091220     FALSE       FALSE           FALSE -2.657138597
## 29   29   6.6 -2.264312036     FALSE       FALSE           FALSE -2.525790397
## 30   30  33.8 -1.280854248     FALSE       FALSE           FALSE -1.560203625
## 31   31  33.3 -1.298932517     FALSE       FALSE           FALSE -1.577953382
## 32   32  62.0 -0.261239924     FALSE       FALSE           FALSE -0.559117340
## 33   33  45.7 -0.850591466     FALSE       FALSE           FALSE -1.137759413
## 34   34  47.6 -0.781894047     FALSE       FALSE           FALSE -1.070310337
## 35   35  21.9 -1.711117031     FALSE       FALSE           FALSE -1.982647838
## 36   36  35.7 -1.212156829     FALSE       FALSE           FALSE -1.492754549
## 37   37  40.5 -1.038605455     FALSE       FALSE           FALSE -1.322356884
## 38   38  29.2 -1.447174315     FALSE       FALSE           FALSE -1.723501388
## 39   39  93.4  0.874075316     FALSE       FALSE           FALSE  0.555567389
## 40   40  67.8 -0.051532014     FALSE       FALSE           FALSE -0.353220161
## 41   41  59.5 -0.351631265     FALSE       FALSE           FALSE -0.647866124
## 42   42  17.8 -1.859358829     FALSE       FALSE           FALSE -2.128195844
## 43   43  31.1 -1.378476897     FALSE       FALSE           FALSE -1.656052312
## 44   44  21.4 -1.729195299     FALSE       FALSE           FALSE -2.000397595
## 45   45  33.0 -1.309779478     FALSE       FALSE           FALSE -1.588603236
## 46   46   6.6 -2.264312036     FALSE       FALSE           FALSE -2.525790397
## 47   47   7.8 -2.220924193     FALSE       FALSE           FALSE -2.483190980
## 48   48   6.2 -2.278774651     FALSE       FALSE           FALSE -2.539990202
## 49   49   6.0 -2.286005958     FALSE       FALSE           FALSE -2.547090105
## 50   50  45.0 -0.875901042     FALSE       FALSE           FALSE -1.162609072
## 51   51  74.5  0.190716779     FALSE       FALSE           FALSE -0.115373419
## 52   52  45.8 -0.846975813     FALSE       FALSE           FALSE -1.134209461
## 53   53  36.6 -1.179615947     FALSE       FALSE           FALSE -1.460804987
## 54   54  33.5 -1.291701209     FALSE       FALSE           FALSE -1.570853479
## 55   55  70.4  0.042474981     FALSE       FALSE           FALSE -0.260921425
## 56   56  32.2 -1.338704707     FALSE       FALSE           FALSE -1.617002847
## 57   57  48.0 -0.767431433     FALSE       FALSE           FALSE -1.056110531
## 58   58  56.1 -0.474563489     FALSE       FALSE           FALSE -0.768564471
## 59   59  45.1 -0.872285388     FALSE       FALSE           FALSE -1.159059121
## 60   60  56.8 -0.449253913     FALSE       FALSE           FALSE -0.743714811
## 61   61  86.3  0.617363908     FALSE       FALSE           FALSE  0.303520842
## 62   62  63.1 -0.221467735     FALSE       FALSE           FALSE -0.520067875
## 63   63  66.1 -0.112998126     FALSE       FALSE           FALSE -0.413569334
## 64   64  73.9  0.169022858     FALSE       FALSE           FALSE -0.136673128
## 65   65  53.6 -0.564954830     FALSE       FALSE           FALSE -0.857313255
## 66   66  28.9 -1.458021276     FALSE       FALSE           FALSE -1.734151242
## 67   67  77.3  0.291955081     FALSE       FALSE           FALSE -0.015974781
## 68   68  57.8 -0.413097377     FALSE       FALSE           FALSE -0.708215297
## 69   69  69.6  0.013549751     FALSE       FALSE           FALSE -0.289321036
## 70   70  76.0  0.244951584     FALSE       FALSE           FALSE -0.062124149
## 71   71  36.9 -1.168768986     FALSE       FALSE           FALSE -1.450155133
## 72   72  62.5 -0.243161656     FALSE       FALSE           FALSE -0.541367583
## 73   73  79.9  0.385962075     FALSE       FALSE           FALSE  0.076323954
## 74   74  71.3  0.075015863     FALSE       FALSE           FALSE -0.228971863
## 75   75  85.4  0.584823025     FALSE       FALSE           FALSE  0.271571279
## 76   76  87.4  0.657136098     FALSE       FALSE           FALSE  0.342570307
## 77   77  90.0  0.751143092     FALSE       FALSE           FALSE  0.434869042
## 78   78  96.7  0.993391886     FALSE       FALSE           FALSE  0.672715784
## 79   79  85.2  0.577591718     FALSE       FALSE           FALSE  0.264471377
## 80   80  54.4 -0.536029600     FALSE       FALSE           FALSE -0.828913644
## 81   81  81.6  0.447428187     FALSE       FALSE           FALSE  0.136673128
## 82   82  92.9  0.855997048     FALSE       FALSE           FALSE  0.537817632
## 83   83  95.4  0.946388388     FALSE       FALSE           FALSE  0.626566416
## 84   84  84.2  0.541435182     FALSE       FALSE           FALSE  0.228971863
## 85   85  88.2  0.686061327     FALSE       FALSE           FALSE  0.370969918
## 86   86  72.5  0.118403707     FALSE       FALSE           FALSE -0.186372447
## 87   87  82.6  0.483584724     FALSE       FALSE           FALSE  0.172172641
## 88   88  65.2 -0.145539008     FALSE       FALSE           FALSE -0.445518896
## 89   89  69.7  0.017165405     FALSE       FALSE           FALSE -0.285771085
## 90   90  84.1  0.537819528     FALSE       FALSE           FALSE  0.225421912
## 91   91  92.9  0.855997048     FALSE       FALSE           FALSE  0.537817632
## 92   92  97.0  1.004238846     FALSE       FALSE           FALSE  0.683365638
## 93   93  95.8  0.960851003     FALSE       FALSE           FALSE  0.640766222
## 94   94  88.4  0.693292634     FALSE       FALSE           FALSE  0.378069820
## 95   95  96.0  0.968082310     FALSE       FALSE           FALSE  0.647866124
## 96   96  98.8  1.069320612     FALSE       FALSE           FALSE  0.747264762
## 97   97  94.7  0.921078813     FALSE       FALSE           FALSE  0.601716756
## 98   98  98.9  1.072936265     FALSE       FALSE           FALSE  0.750814714
## 99   99  97.7  1.029548422     FALSE       FALSE           FALSE  0.708215297
## 100 100  97.9  1.036779729     FALSE       FALSE           FALSE  0.715315200
## 101 101  95.4  0.946388388     FALSE       FALSE           FALSE  0.626566416
## 102 102  98.4  1.054857997     FALSE       FALSE           FALSE  0.733064957
## 103 103  98.2  1.047626690     FALSE       FALSE           FALSE  0.725965054
## 104 104  93.5  0.877690969     FALSE       FALSE           FALSE  0.559117340
## 105 105  98.4  1.054857997     FALSE       FALSE           FALSE  0.733064957
## 106 106  98.2  1.047626690     FALSE       FALSE           FALSE  0.725965054
## 107 107  97.9  1.036779729     FALSE       FALSE           FALSE  0.715315200
## 108 108  93.6  0.881306623     FALSE       FALSE           FALSE  0.562667291
## 109 109 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 110 110 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 111 111  97.8  1.033164075     FALSE       FALSE           FALSE  0.711765249
## 112 112 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 113 113 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 114 114  95.7  0.957235349     FALSE       FALSE           FALSE  0.637216270
## 115 115  94.9  0.928310120     FALSE       FALSE           FALSE  0.608816659
## 116 116  97.3  1.015085807     FALSE       FALSE           FALSE  0.694015492
## 117 117 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 118 118  88.0  0.678830020     FALSE       FALSE           FALSE  0.363870015
## 119 119  98.5  1.058473651     FALSE       FALSE           FALSE  0.736614908
## 120 120  96.0  0.968082310     FALSE       FALSE           FALSE  0.647866124
## 121 121  82.6  0.483584724     FALSE       FALSE           FALSE  0.172172641
## 122 122  94.0  0.895769237     FALSE       FALSE           FALSE  0.576867097
## 123 123  97.4  1.018701461     FALSE       FALSE           FALSE  0.697565443
## 124 124 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 125 125 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 126 126  92.6  0.845150087     FALSE       FALSE           FALSE  0.527167778
## 127 127  90.8  0.780068321     FALSE       FALSE           FALSE  0.463268653
## 128 128  98.2  1.047626690     FALSE       FALSE           FALSE  0.725965054
## 129 129  93.9  0.892153584     FALSE       FALSE           FALSE  0.573317146
## 130 130  91.8  0.816224858     FALSE       FALSE           FALSE  0.498768167
## 131 131  93.0  0.859612701     FALSE       FALSE           FALSE  0.541367583
## 132 132  96.2  0.975313617     FALSE       FALSE           FALSE  0.654966027
## 133 133  79.2  0.360652500     FALSE       FALSE           FALSE  0.051474295
## 134 134  96.1  0.971697964     FALSE       FALSE           FALSE  0.651416076
## 135 135  94.6  0.917463159     FALSE       FALSE           FALSE  0.598166805
## 136 136  97.3  1.015085807     FALSE       FALSE           FALSE  0.694015492
## 137 137  88.5  0.696908288     FALSE       FALSE           FALSE  0.381619772
## 138 138  84.1  0.537819528     FALSE       FALSE           FALSE  0.225421912
## 139 139  68.7 -0.018991131     FALSE       FALSE           FALSE -0.321270599
## 140 140  33.1 -1.306163824     FALSE       FALSE           FALSE -1.585053285
## 141 141  47.2 -0.796356662     FALSE       FALSE           FALSE -1.084510142
## 142 142  74.4  0.187101126     FALSE       FALSE           FALSE -0.118923371
## 143 143  58.4 -0.391403455     FALSE       FALSE           FALSE -0.686915589
## 144 144  83.3  0.508894299     FALSE       FALSE           FALSE  0.197022301
## 145 145  95.6  0.953619696     FALSE       FALSE           FALSE  0.633666319
## 146 146  89.8  0.743911785     FALSE       FALSE           FALSE  0.427769140
## 147 147  68.8 -0.015375478     FALSE       FALSE           FALSE -0.317720647
## 148 148  41.1 -1.016911533     FALSE       FALSE           FALSE -1.301057176
## 149 149  29.1 -1.450789969     FALSE       FALSE           FALSE -1.727051339
## 150 150  38.9 -1.096455913     FALSE       FALSE           FALSE -1.379156106
## 151 151  21.5 -1.725579645     FALSE       FALSE           FALSE -1.996847643
## 152 152  30.8 -1.389323857     FALSE       FALSE           FALSE -1.666702166
## 153 153  26.3 -1.552028271     FALSE       FALSE           FALSE -1.826449978
## 154 154   9.9 -2.144995466     FALSE       FALSE           FALSE -2.408642002
## 155 155  18.8 -1.823202293     FALSE       FALSE           FALSE -2.092696330
## 156 156  32.0 -1.345936014     FALSE       FALSE           FALSE -1.624102750
## 157 157  34.1 -1.270007288     FALSE       FALSE           FALSE -1.549553771
## 158 158  36.6 -1.179615947     FALSE       FALSE           FALSE -1.460804987
## 159 159  38.3 -1.118149835     FALSE       FALSE           FALSE -1.400455814
## 160 160  15.3 -1.949750170     FALSE       FALSE           FALSE -2.216944628
## 161 161  13.9 -2.000369321     FALSE       FALSE           FALSE -2.266643947
## 162 162  38.4 -1.114534181     FALSE       FALSE           FALSE -1.396905862
## 163 163  15.7 -1.935287556     FALSE       FALSE           FALSE -2.202744822
## 164 164  33.2 -1.302548170     FALSE       FALSE           FALSE -1.581503333
## 165 165  72.7  0.125635014     FALSE       FALSE           FALSE -0.179272544
## 166 166  59.1 -0.366093880     FALSE       FALSE           FALSE -0.662065930
## 167 167 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 168 168  92.1  0.827071818     FALSE       FALSE           FALSE  0.509418021
## 169 169  53.8 -0.557723522     FALSE       FALSE           FALSE -0.850213352
## 170 170  32.3 -1.335089053     FALSE       FALSE           FALSE -1.613452896
## 171 171   9.8 -2.148611120     FALSE       FALSE           FALSE -2.412191953
## 172 172  42.4 -0.969908036     FALSE       FALSE           FALSE -1.254907808
## 173 173  56.0 -0.478179142     FALSE       FALSE           FALSE -0.772114422
## 174 174  93.8  0.888537930     FALSE       FALSE           FALSE  0.569767194
## 175 175  92.4  0.837918779     FALSE       FALSE           FALSE  0.520067875
## 176 176  88.5  0.696908288     FALSE       FALSE           FALSE  0.381619772
## 177 177  91.3  0.798146589     FALSE       FALSE           FALSE  0.481018410
## 178 178  77.7  0.306417696     FALSE       FALSE           FALSE -0.001774976
## 179 179  80.8  0.418502958     FALSE       FALSE           FALSE  0.108273517
## 180 180  78.3  0.328111617     FALSE       FALSE           FALSE  0.019524733
## 181 181  86.5  0.624595215     FALSE       FALSE           FALSE  0.310620744
## 182 182  79.9  0.385962075     FALSE       FALSE           FALSE  0.076323954
## 183 183  17.0 -1.888284058     FALSE       FALSE           FALSE -2.156595455
## 184 184  68.1 -0.040685053     FALSE       FALSE           FALSE -0.342570307
## 185 185  76.9  0.277492467     FALSE       FALSE           FALSE -0.030174587
## 186 186  73.3  0.147328936     FALSE       FALSE           FALSE -0.157972836
## 187 187  70.4  0.042474981     FALSE       FALSE           FALSE -0.260921425
## 188 188  66.5 -0.098535511     FALSE       FALSE           FALSE -0.399369529
## 189 189  61.5 -0.279318193     FALSE       FALSE           FALSE -0.576867097
## 190 190  76.5  0.263029852     FALSE       FALSE           FALSE -0.044374392
## 191 191  71.6  0.085862824     FALSE       FALSE           FALSE -0.218322009
## 192 192  42.2 -0.977139343     FALSE       FALSE           FALSE -1.262007710
## 193 193  54.3 -0.539645254     FALSE       FALSE           FALSE -0.832463595
## 194 194  65.1 -0.149154662     FALSE       FALSE           FALSE -0.449068848
## 195 195  52.9 -0.590264405     FALSE       FALSE           FALSE -0.882162914
## 196 196   7.8 -2.220924193     FALSE       FALSE           FALSE -2.483190980
## 197 197  76.5  0.263029852     FALSE       FALSE           FALSE -0.044374392
## 198 198  34.9 -1.241082059     FALSE       FALSE           FALSE -1.521154160
## 199 199  79.2  0.360652500     FALSE       FALSE           FALSE  0.051474295
## 200 200  49.1 -0.727659243     FALSE       FALSE           FALSE -1.017061066
## 201 201  17.5 -1.870205790     FALSE       FALSE           FALSE -2.138845698
## 202 202   8.9 -2.181152003     FALSE       FALSE           FALSE -2.444141515
## 203 203   6.8 -2.257080729     FALSE       FALSE           FALSE -2.518690494
## 204 204  32.0 -1.345936014     FALSE       FALSE           FALSE -1.624102750
## 205 205  19.1 -1.812355332     FALSE       FALSE           FALSE -2.082046476
## 206 206  34.2 -1.266391634     FALSE       FALSE           FALSE -1.546003820
## 207 207  86.9  0.639057830     FALSE       FALSE           FALSE  0.324820550
## 208 208 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 209 209  81.8  0.454659494     FALSE       FALSE           FALSE  0.143773030
## 210 210  89.4  0.729449170     FALSE       FALSE           FALSE  0.413569334
## 211 211  91.5  0.805377897     FALSE       FALSE           FALSE  0.488118313
## 212 212  84.6  0.555897796     FALSE       FALSE           FALSE  0.243171669
## 213 213  52.6 -0.601111366     FALSE       FALSE           FALSE -0.892812768
## 214 214  61.5 -0.279318193     FALSE       FALSE           FALSE -0.576867097
## 215 215  42.1 -0.980754997     FALSE       FALSE           FALSE -1.265557662
## 216 216  16.3 -1.913593634     FALSE       FALSE           FALSE -2.181445114
## 217 217  58.7 -0.380556494     FALSE       FALSE           FALSE -0.676265735
## 218 218  49.0 -0.731274897     FALSE       FALSE           FALSE -1.020611018
## 219 219  27.6 -1.505024774     FALSE       FALSE           FALSE -1.780300610
## 220 220  32.1 -1.342320360     FALSE       FALSE           FALSE -1.620552798
## 221 221  64.5 -0.170848584     FALSE       FALSE           FALSE -0.470368556
## 222 222  37.2 -1.157922025     FALSE       FALSE           FALSE -1.439505279
## 223 223  49.7 -0.705965321     FALSE       FALSE           FALSE -0.995761358
## 224 224  24.8 -1.606263075     FALSE       FALSE           FALSE -1.879699248
## 225 225  20.8 -1.750889221     FALSE       FALSE           FALSE -2.021697303
## 226 226  31.9 -1.349551667     FALSE       FALSE           FALSE -1.627652701
## 227 227  31.5 -1.364014282     FALSE       FALSE           FALSE -1.641852507
## 228 228  31.3 -1.371245589     FALSE       FALSE           FALSE -1.648952409
## 229 229  45.6 -0.854207120     FALSE       FALSE           FALSE -1.141309364
## 230 230  22.9 -1.674960494     FALSE       FALSE           FALSE -1.947148324
## 231 231  27.9 -1.494177813     FALSE       FALSE           FALSE -1.769650756
## 232 232  27.7 -1.501409120     FALSE       FALSE           FALSE -1.776750659
## 233 233  23.4 -1.656882226     FALSE       FALSE           FALSE -1.929398567
## 234 234  31.1 -1.378476897     FALSE       FALSE           FALSE -1.656052312
## 235 235  51.0 -0.658961824     FALSE       FALSE           FALSE -0.949611990
## 236 236  58.0 -0.405866070     FALSE       FALSE           FALSE -0.701115395
## 237 237  20.1 -1.776198796     FALSE       FALSE           FALSE -2.046546962
## 238 238  40.4 -1.042221109     FALSE       FALSE           FALSE -1.325906835
## 239 239  17.7 -1.862974483     FALSE       FALSE           FALSE -2.131745795
## 240 240  41.1 -1.016911533     FALSE       FALSE           FALSE -1.301057176
## 241 241  70.3  0.038859327     FALSE       FALSE           FALSE -0.264471377
## 242 242  82.5  0.479969070     FALSE       FALSE           FALSE  0.168622690
## 243 243  76.7  0.270261159     FALSE       FALSE           FALSE -0.037274489
## 244 244  52.8 -0.593880059     FALSE       FALSE           FALSE -0.885712866
## 245 245  90.4  0.765605707     FALSE       FALSE           FALSE  0.449068848
## 246 246  82.8  0.490816031     FALSE       FALSE           FALSE  0.179272544
## 247 247  87.3  0.653520444     FALSE       FALSE           FALSE  0.339020355
## 248 248  77.7  0.306417696     FALSE       FALSE           FALSE -0.001774976
## 249 249  71.7  0.089478478     FALSE       FALSE           FALSE -0.214772058
## 250 250  67.2 -0.073225936     FALSE       FALSE           FALSE -0.374519869
## 251 251  58.8 -0.376940841     FALSE       FALSE           FALSE -0.672715784
## 252 252  52.3 -0.611958327     FALSE       FALSE           FALSE -0.903462623
## 253 253  54.3 -0.539645254     FALSE       FALSE           FALSE -0.832463595
## 254 254  49.9 -0.698734014     FALSE       FALSE           FALSE -0.988661455
## 255 255  74.3  0.183485472     FALSE       FALSE           FALSE -0.122473322
## 256 256  40.1 -1.053068070     FALSE       FALSE           FALSE -1.336556689
## 257 257  14.7 -1.971444092     FALSE       FALSE           FALSE -2.238244336
## 258 258  28.9 -1.458021276     FALSE       FALSE           FALSE -1.734151242
## 259 259  43.7 -0.922904539     FALSE       FALSE           FALSE -1.208758440
## 260 260  25.8 -1.570106539     FALSE       FALSE           FALSE -1.844199734
## 261 261  17.2 -1.881052751     FALSE       FALSE           FALSE -2.149495552
## 262 262  32.2 -1.338704707     FALSE       FALSE           FALSE -1.617002847
## 263 263  28.4 -1.476099545     FALSE       FALSE           FALSE -1.751900999
## 264 264  38.1 -1.125381142     FALSE       FALSE           FALSE -1.407555716
## 265 265  38.5 -1.110918528     FALSE       FALSE           FALSE -1.393355911
## 266 266  34.5 -1.255544673     FALSE       FALSE           FALSE -1.535353966
## 267 267  46.3 -0.828897545     FALSE       FALSE           FALSE -1.116459705
## 268 268  59.6 -0.348015612     FALSE       FALSE           FALSE -0.644316173
## 269 269  45.4 -0.861438427     FALSE       FALSE           FALSE -1.148409267
## 270 270  58.5 -0.387787802     FALSE       FALSE           FALSE -0.683365638
## 271 271  49.3 -0.720427936     FALSE       FALSE           FALSE -1.009961164
## 272 272  59.7 -0.344399958     FALSE       FALSE           FALSE -0.640766222
## 273 273  56.4 -0.463716528     FALSE       FALSE           FALSE -0.757914617
## 274 274  28.1 -1.486946505     FALSE       FALSE           FALSE -1.762550853
## 275 275  48.5 -0.749353165     FALSE       FALSE           FALSE -1.038360774
## 276 276  52.3 -0.611958327     FALSE       FALSE           FALSE -0.903462623
## 277 277  27.7 -1.501409120     FALSE       FALSE           FALSE -1.776750659
## 278 278  29.7 -1.429096047     FALSE       FALSE           FALSE -1.705751631
## 279 279  34.5 -1.255544673     FALSE       FALSE           FALSE -1.535353966
## 280 280  35.9 -1.204925522     FALSE       FALSE           FALSE -1.485654647
## 281 281  36.1 -1.197694215     FALSE       FALSE           FALSE -1.478554744
## 282 282  21.9 -1.711117031     FALSE       FALSE           FALSE -1.982647838
## 283 283  19.5 -1.797892718     FALSE       FALSE           FALSE -2.067846671
## 284 284  97.4  1.018701461     FALSE       FALSE           FALSE  0.697565443
## 285 285  91.0  0.787299629     FALSE       FALSE           FALSE  0.470368556
## 286 286  83.4  0.512509953     FALSE       FALSE           FALSE  0.200572252
## 287 287  88.0  0.678830020     FALSE       FALSE           FALSE  0.363870015
## 288 288  91.1  0.790915282     FALSE       FALSE           FALSE  0.473918507
## 289 289  96.2  0.975313617     FALSE       FALSE           FALSE  0.654966027
## 290 290  89.0  0.714986556     FALSE       FALSE           FALSE  0.399369529
## 291 291  82.9  0.494431684     FALSE       FALSE           FALSE  0.182822495
## 292 292  87.9  0.675214366     FALSE       FALSE           FALSE  0.360320064
## 293 293  91.4  0.801762243     FALSE       FALSE           FALSE  0.484568361
## 294 294 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 295 295 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 296 296  97.5  1.022317115     FALSE       FALSE           FALSE  0.701115395
## 297 297 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 298 298  89.6  0.736680478     FALSE       FALSE           FALSE  0.420669237
## 299 299 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 300 300 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 301 301  97.9  1.036779729     FALSE       FALSE           FALSE  0.715315200
## 302 302  93.3  0.870459662     FALSE       FALSE           FALSE  0.552017437
## 303 303  98.8  1.069320612     FALSE       FALSE           FALSE  0.747264762
## 304 304  96.2  0.975313617     FALSE       FALSE           FALSE  0.654966027
## 305 305  91.9  0.819840511     FALSE       FALSE           FALSE  0.502318118
## 306 306 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 307 307 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 308 308 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 309 309  89.5  0.733064824     FALSE       FALSE           FALSE  0.417119285
## 310 310 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 311 311  82.5  0.479969070     FALSE       FALSE           FALSE  0.168622690
## 312 312  97.0  1.004238846     FALSE       FALSE           FALSE  0.683365638
## 313 313  92.6  0.845150087     FALSE       FALSE           FALSE  0.527167778
## 314 314  94.7  0.921078813     FALSE       FALSE           FALSE  0.601716756
## 315 315  98.8  1.069320612     FALSE       FALSE           FALSE  0.747264762
## 316 316  96.0  0.968082310     FALSE       FALSE           FALSE  0.647866124
## 317 317  77.8  0.310033349     FALSE       FALSE           FALSE  0.001774976
## 318 318 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 319 319 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 320 320  96.0  0.968082310     FALSE       FALSE           FALSE  0.647866124
## 321 321  85.4  0.584823025     FALSE       FALSE           FALSE  0.271571279
## 322 322 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 323 323  97.9  1.036779729     FALSE       FALSE           FALSE  0.715315200
## 324 324 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 325 325 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 326 326 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 327 327 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 328 328 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 329 329 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 330 330  90.8  0.780068321     FALSE       FALSE           FALSE  0.463268653
## 331 331  89.1  0.718602210     FALSE       FALSE           FALSE  0.402919480
## 332 332 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 333 333  76.5  0.263029852     FALSE       FALSE           FALSE -0.044374392
## 334 334 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 335 335  95.3  0.942772735     FALSE       FALSE           FALSE  0.623016465
## 336 336  87.6  0.664367405     FALSE       FALSE           FALSE  0.349670210
## 337 337  85.1  0.573976064     FALSE       FALSE           FALSE  0.260921425
## 338 338  70.6  0.049706288     FALSE       FALSE           FALSE -0.253821523
## 339 339  95.4  0.946388388     FALSE       FALSE           FALSE  0.626566416
## 340 340  59.7 -0.344399958     FALSE       FALSE           FALSE -0.640766222
## 341 341  78.7  0.342574232     FALSE       FALSE           FALSE  0.033724538
## 342 342  95.6  0.953619696     FALSE       FALSE           FALSE  0.633666319
## 343 343  86.1  0.610132601     FALSE       FALSE           FALSE  0.296420939
## 344 344  94.3  0.906616198     FALSE       FALSE           FALSE  0.587516951
## 345 345  74.8  0.201563740     FALSE       FALSE           FALSE -0.104723565
## 346 346  87.9  0.675214366     FALSE       FALSE           FALSE  0.360320064
## 347 347  95.0  0.931925774     FALSE       FALSE           FALSE  0.612366611
## 348 348  94.6  0.917463159     FALSE       FALSE           FALSE  0.598166805
## 349 349  93.3  0.870459662     FALSE       FALSE           FALSE  0.552017437
## 350 350  87.9  0.675214366     FALSE       FALSE           FALSE  0.360320064
## 351 351  93.9  0.892153584     FALSE       FALSE           FALSE  0.573317146
## 352 352  92.4  0.837918779     FALSE       FALSE           FALSE  0.520067875
## 353 353 100.0  1.112708455     FALSE       FALSE           FALSE  0.789864179
## 354 354  96.6  0.989776232     FALSE       FALSE           FALSE  0.669165832
## 355 355  94.8  0.924694467     FALSE       FALSE           FALSE  0.605266708
## 356 356  96.4  0.982544925     FALSE       FALSE           FALSE  0.662065930
## 357 357  96.6  0.989776232     FALSE       FALSE           FALSE  0.669165832
## 358 358  98.3  1.051242344     FALSE       FALSE           FALSE  0.729515006
## 359 359  92.6  0.845150087     FALSE       FALSE           FALSE  0.527167778
## 360 360  98.2  1.047626690     FALSE       FALSE           FALSE  0.725965054
## 361 361  99.3  1.087398880     FALSE       FALSE           FALSE  0.765014519
## 362 362  94.1  0.899384891     FALSE       FALSE           FALSE  0.580417048
## 363 363  86.5  0.624595215     FALSE       FALSE           FALSE  0.310620744
## 364 364  87.9  0.675214366     FALSE       FALSE           FALSE  0.360320064
## 365 365  80.3  0.400424690     FALSE       FALSE           FALSE  0.090523760
## 366 366  84.4  0.548666489     FALSE       FALSE           FALSE  0.236071766
## 367 367  83.0  0.498047338     FALSE       FALSE           FALSE  0.186372447
## 368 368  65.4 -0.138307701     FALSE       FALSE           FALSE -0.438418994
## 369 369  48.2 -0.760200126     FALSE       FALSE           FALSE -1.049010629
## 370 370  84.7  0.559513450     FALSE       FALSE           FALSE  0.246721620
## 371 371  71.0  0.064168902     FALSE       FALSE           FALSE -0.239621717
## 372 372  56.7 -0.452869567     FALSE       FALSE           FALSE -0.747264762
## 373 373  84.0  0.534203874     FALSE       FALSE           FALSE  0.221871960
## 374 374  90.7  0.776452668     FALSE       FALSE           FALSE  0.459718702
## 375 375  75.0  0.208795048     FALSE       FALSE           FALSE -0.097623663
## 376 376  67.6 -0.058763321     FALSE       FALSE           FALSE -0.360320064
## 377 377  95.4  0.946388388     FALSE       FALSE           FALSE  0.626566416
## 378 378  97.4  1.018701461     FALSE       FALSE           FALSE  0.697565443
## 379 379  93.6  0.881306623     FALSE       FALSE           FALSE  0.562667291
## 380 380  97.3  1.015085807     FALSE       FALSE           FALSE  0.694015492
## 381 381  96.7  0.993391886     FALSE       FALSE           FALSE  0.672715784
## 382 382  88.0  0.678830020     FALSE       FALSE           FALSE  0.363870015
## 383 383  64.7 -0.163617276     FALSE       FALSE           FALSE -0.463268653
## 384 384  74.9  0.205179394     FALSE       FALSE           FALSE -0.101173614
## 385 385  77.0  0.281108120     FALSE       FALSE           FALSE -0.026624635
## 386 386  40.3 -1.045836762     FALSE       FALSE           FALSE -1.329456786
## 387 387  41.9 -0.987986304     FALSE       FALSE           FALSE -1.272657565
## 388 388  51.9 -0.626420941     FALSE       FALSE           FALSE -0.917662428
## 389 389  53.2 -0.579417444     FALSE       FALSE           FALSE -0.871513060
## 390 390  92.7  0.848765740     FALSE       FALSE           FALSE  0.530717729
## 391 391  98.3  1.051242344     FALSE       FALSE           FALSE  0.729515006
## 392 392  98.0  1.040395383     FALSE       FALSE           FALSE  0.718865152
## 393 393  98.8  1.069320612     FALSE       FALSE           FALSE  0.747264762
## 394 394  83.5  0.516125606     FALSE       FALSE           FALSE  0.204122204
## 395 395  42.6 -0.962676729     FALSE       FALSE           FALSE -1.247807905
## 396 396  28.8 -1.461636930     FALSE       FALSE           FALSE -1.737701193
## 397 397  72.9  0.132866321     FALSE       FALSE           FALSE -0.172172641
## 398 398  65.3 -0.141923355     FALSE       FALSE           FALSE -0.441968945
## 399 399  73.5  0.154560243     FALSE       FALSE           FALSE -0.150872933
## 400 400  79.7  0.378730768     FALSE       FALSE           FALSE  0.069224052
## 401 401  69.1 -0.004528517     FALSE       FALSE           FALSE -0.307070793
## 402 402  76.7  0.270261159     FALSE       FALSE           FALSE -0.037274489
## 403 403  89.3  0.725833517     FALSE       FALSE           FALSE  0.410019383
## 404 404  80.8  0.418502958     FALSE       FALSE           FALSE  0.108273517
##     outlier_MAD
## 1         FALSE
## 2         FALSE
## 3         FALSE
## 4         FALSE
## 5         FALSE
## 6         FALSE
## 7         FALSE
## 8         FALSE
## 9         FALSE
## 10        FALSE
## 11        FALSE
## 12        FALSE
## 13        FALSE
## 14        FALSE
## 15        FALSE
## 16        FALSE
## 17        FALSE
## 18        FALSE
## 19        FALSE
## 20        FALSE
## 21        FALSE
## 22        FALSE
## 23        FALSE
## 24        FALSE
## 25        FALSE
## 26        FALSE
## 27        FALSE
## 28        FALSE
## 29        FALSE
## 30        FALSE
## 31        FALSE
## 32        FALSE
## 33        FALSE
## 34        FALSE
## 35        FALSE
## 36        FALSE
## 37        FALSE
## 38        FALSE
## 39        FALSE
## 40        FALSE
## 41        FALSE
## 42        FALSE
## 43        FALSE
## 44        FALSE
## 45        FALSE
## 46        FALSE
## 47        FALSE
## 48        FALSE
## 49        FALSE
## 50        FALSE
## 51        FALSE
## 52        FALSE
## 53        FALSE
## 54        FALSE
## 55        FALSE
## 56        FALSE
## 57        FALSE
## 58        FALSE
## 59        FALSE
## 60        FALSE
## 61        FALSE
## 62        FALSE
## 63        FALSE
## 64        FALSE
## 65        FALSE
## 66        FALSE
## 67        FALSE
## 68        FALSE
## 69        FALSE
## 70        FALSE
## 71        FALSE
## 72        FALSE
## 73        FALSE
## 74        FALSE
## 75        FALSE
## 76        FALSE
## 77        FALSE
## 78        FALSE
## 79        FALSE
## 80        FALSE
## 81        FALSE
## 82        FALSE
## 83        FALSE
## 84        FALSE
## 85        FALSE
## 86        FALSE
## 87        FALSE
## 88        FALSE
## 89        FALSE
## 90        FALSE
## 91        FALSE
## 92        FALSE
## 93        FALSE
## 94        FALSE
## 95        FALSE
## 96        FALSE
## 97        FALSE
## 98        FALSE
## 99        FALSE
## 100       FALSE
## 101       FALSE
## 102       FALSE
## 103       FALSE
## 104       FALSE
## 105       FALSE
## 106       FALSE
## 107       FALSE
## 108       FALSE
## 109       FALSE
## 110       FALSE
## 111       FALSE
## 112       FALSE
## 113       FALSE
## 114       FALSE
## 115       FALSE
## 116       FALSE
## 117       FALSE
## 118       FALSE
## 119       FALSE
## 120       FALSE
## 121       FALSE
## 122       FALSE
## 123       FALSE
## 124       FALSE
## 125       FALSE
## 126       FALSE
## 127       FALSE
## 128       FALSE
## 129       FALSE
## 130       FALSE
## 131       FALSE
## 132       FALSE
## 133       FALSE
## 134       FALSE
## 135       FALSE
## 136       FALSE
## 137       FALSE
## 138       FALSE
## 139       FALSE
## 140       FALSE
## 141       FALSE
## 142       FALSE
## 143       FALSE
## 144       FALSE
## 145       FALSE
## 146       FALSE
## 147       FALSE
## 148       FALSE
## 149       FALSE
## 150       FALSE
## 151       FALSE
## 152       FALSE
## 153       FALSE
## 154       FALSE
## 155       FALSE
## 156       FALSE
## 157       FALSE
## 158       FALSE
## 159       FALSE
## 160       FALSE
## 161       FALSE
## 162       FALSE
## 163       FALSE
## 164       FALSE
## 165       FALSE
## 166       FALSE
## 167       FALSE
## 168       FALSE
## 169       FALSE
## 170       FALSE
## 171       FALSE
## 172       FALSE
## 173       FALSE
## 174       FALSE
## 175       FALSE
## 176       FALSE
## 177       FALSE
## 178       FALSE
## 179       FALSE
## 180       FALSE
## 181       FALSE
## 182       FALSE
## 183       FALSE
## 184       FALSE
## 185       FALSE
## 186       FALSE
## 187       FALSE
## 188       FALSE
## 189       FALSE
## 190       FALSE
## 191       FALSE
## 192       FALSE
## 193       FALSE
## 194       FALSE
## 195       FALSE
## 196       FALSE
## 197       FALSE
## 198       FALSE
## 199       FALSE
## 200       FALSE
## 201       FALSE
## 202       FALSE
## 203       FALSE
## 204       FALSE
## 205       FALSE
## 206       FALSE
## 207       FALSE
## 208       FALSE
## 209       FALSE
## 210       FALSE
## 211       FALSE
## 212       FALSE
## 213       FALSE
## 214       FALSE
## 215       FALSE
## 216       FALSE
## 217       FALSE
## 218       FALSE
## 219       FALSE
## 220       FALSE
## 221       FALSE
## 222       FALSE
## 223       FALSE
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## 225       FALSE
## 226       FALSE
## 227       FALSE
## 228       FALSE
## 229       FALSE
## 230       FALSE
## 231       FALSE
## 232       FALSE
## 233       FALSE
## 234       FALSE
## 235       FALSE
## 236       FALSE
## 237       FALSE
## 238       FALSE
## 239       FALSE
## 240       FALSE
## 241       FALSE
## 242       FALSE
## 243       FALSE
## 244       FALSE
## 245       FALSE
## 246       FALSE
## 247       FALSE
## 248       FALSE
## 249       FALSE
## 250       FALSE
## 251       FALSE
## 252       FALSE
## 253       FALSE
## 254       FALSE
## 255       FALSE
## 256       FALSE
## 257       FALSE
## 258       FALSE
## 259       FALSE
## 260       FALSE
## 261       FALSE
## 262       FALSE
## 263       FALSE
## 264       FALSE
## 265       FALSE
## 266       FALSE
## 267       FALSE
## 268       FALSE
## 269       FALSE
## 270       FALSE
## 271       FALSE
## 272       FALSE
## 273       FALSE
## 274       FALSE
## 275       FALSE
## 276       FALSE
## 277       FALSE
## 278       FALSE
## 279       FALSE
## 280       FALSE
## 281       FALSE
## 282       FALSE
## 283       FALSE
## 284       FALSE
## 285       FALSE
## 286       FALSE
## 287       FALSE
## 288       FALSE
## 289       FALSE
## 290       FALSE
## 291       FALSE
## 292       FALSE
## 293       FALSE
## 294       FALSE
## 295       FALSE
## 296       FALSE
## 297       FALSE
## 298       FALSE
## 299       FALSE
## 300       FALSE
## 301       FALSE
## 302       FALSE
## 303       FALSE
## 304       FALSE
## 305       FALSE
## 306       FALSE
## 307       FALSE
## 308       FALSE
## 309       FALSE
## 310       FALSE
## 311       FALSE
## 312       FALSE
## 313       FALSE
## 314       FALSE
## 315       FALSE
## 316       FALSE
## 317       FALSE
## 318       FALSE
## 319       FALSE
## 320       FALSE
## 321       FALSE
## 322       FALSE
## 323       FALSE
## 324       FALSE
## 325       FALSE
## 326       FALSE
## 327       FALSE
## 328       FALSE
## 329       FALSE
## 330       FALSE
## 331       FALSE
## 332       FALSE
## 333       FALSE
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## 335       FALSE
## 336       FALSE
## 337       FALSE
## 338       FALSE
## 339       FALSE
## 340       FALSE
## 341       FALSE
## 342       FALSE
## 343       FALSE
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## 345       FALSE
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## 349       FALSE
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## 356       FALSE
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## 361       FALSE
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## 379       FALSE
## 380       FALSE
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## 383       FALSE
## 384       FALSE
## 385       FALSE
## 386       FALSE
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## 388       FALSE
## 389       FALSE
## 390       FALSE
## 391       FALSE
## 392       FALSE
## 393       FALSE
## 394       FALSE
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## 396       FALSE
## 397       FALSE
## 398       FALSE
## 399       FALSE
## 400       FALSE
## 401       FALSE
## 402       FALSE
## 403       FALSE
## 404       FALSE
## 
## ===== AL MENOS UN MÉTODO =====
## [1] ID                Valor             Z_score           outlier_Z        
## [5] outlier_IQR       Z_robusto         outlier_MAD       metodos_evaluados
## [9] numero_metodos   
## <0 rows> (o 0- extensión row.names)
## 
## ===== AL MENOS DOS MÉTODOS =====
## [1] ID                Valor             Z_score           outlier_Z        
## [5] outlier_IQR       Z_robusto         outlier_MAD       metodos_evaluados
## [9] numero_metodos   
## <0 rows> (o 0- extensión row.names)
## 
## ===== LOS TRES MÉTODOS =====
## [1] ID        Valor     Z_score   Z_robusto
## <0 rows> (o 0- extensión row.names)
## 
## ================ RESUMEN ================
##  Variable        Metodo N_evaluados N_outliers Porcentaje
##       age       Z-score         404          0          0
##       age           IQR         404          0          0
##       age Tukey extremo         404          0          0
##       age           MAD         404          0          0
## Warning: No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.

## 
## ================ CLASIFICACIÓN FINAL ================
## [1] ID                Valor             Z_score           Z_robusto        
## [5] metodos_evaluados numero_metodos    clasificacion    
## <0 rows> (o 0- extensión row.names)
## 
## ========================================
##  VARIABLE: dis 
## ========================================
## 
## ================ MÉTODO Z ================
## Límite inferior = -2.560505 
## Límite superior = 10.08216 
## Número de outliers = 4 
##    ID   Valor  Z_score
## 1 280 10.7103 3.298107
## 2 281 12.1265 3.970212
## 3 282 10.5857 3.238974
## 4 283 10.5857 3.238974
## 
## ================ MÉTODO IQR ================
## Q1 = 2.087875 
## Q3 = 5.104475 
## IQR = 3.0166 
## Límite inferior = -2.437025 
## Límite superior = 9.629375 
## Número de outliers = 4 
##    ID   Valor
## 1 280 10.7103
## 2 281 12.1265
## 3 282 10.5857
## 4 283 10.5857
## 
## =========== OUTLIERS EXTREMOS TUKEY ===========
## Límite inferior = -6.961925 
## Límite superior = 14.15427 
## Número de outliers extremos = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## ================ MÉTODO MAD ================
## Mediana = 3.1073 
## MAD = 1.24275 
## MAD ajustada = 1.842501 
## Número de outliers = 4 
##    ID   Valor Z_robusto
## 1 280 10.7103  4.126456
## 2 281 12.1265  4.895085
## 3 282 10.5857  4.058831
## 4 283 10.5857  4.058831
## 
## ================ COMPARACIÓN ================
##      ID   Valor       Z_score outlier_Z outlier_IQR outlier_extremo
## 1     1  4.0900  0.1562207116     FALSE       FALSE           FALSE
## 2     2  4.9671  0.5724780072     FALSE       FALSE           FALSE
## 3     3  4.9671  0.5724780072     FALSE       FALSE           FALSE
## 4     4  6.0622  1.0921945326     FALSE       FALSE           FALSE
## 5     5  6.0622  1.0921945326     FALSE       FALSE           FALSE
## 6     6  5.9505  1.0391835419     FALSE       FALSE           FALSE
## 7     7  6.0821  1.1016387467     FALSE       FALSE           FALSE
## 8     8  6.5921  1.3436763943     FALSE       FALSE           FALSE
## 9     9  6.3467  1.2272135733     FALSE       FALSE           FALSE
## 10   10  6.2267  1.1702635385     FALSE       FALSE           FALSE
## 11   11  4.7075  0.4492760987     FALSE       FALSE           FALSE
## 12   12  4.4619  0.3327183610     FALSE       FALSE           FALSE
## 13   13  4.2579  0.2359033019     FALSE       FALSE           FALSE
## 14   14  3.7965  0.0169304183     FALSE       FALSE           FALSE
## 15   15  4.0123  0.1193455641     FALSE       FALSE           FALSE
## 16   16  4.0952  0.1586885465     FALSE       FALSE           FALSE
## 17   17  4.3996  0.3031518013     FALSE       FALSE           FALSE
## 18   18  4.4546  0.3292539005     FALSE       FALSE           FALSE
## 19   19  4.4534  0.3286844002     FALSE       FALSE           FALSE
## 20   20  4.2390  0.2269336714     FALSE       FALSE           FALSE
## 21   21  4.2330  0.2240861697     FALSE       FALSE           FALSE
## 22   22  4.1750  0.1965603196     FALSE       FALSE           FALSE
## 23   23  3.7872  0.0125167906     FALSE       FALSE           FALSE
## 24   24  3.7598 -0.0004868006     FALSE       FALSE           FALSE
## 25   25  3.3603 -0.1900829579     FALSE       FALSE           FALSE
## 26   26  3.3779 -0.1817302862     FALSE       FALSE           FALSE
## 27   27  3.8473  0.0410392664     FALSE       FALSE           FALSE
## 28   28  5.7209  0.9302191421     FALSE       FALSE           FALSE
## 29   29  5.7209  0.9302191421     FALSE       FALSE           FALSE
## 30   30  5.1004  0.6357400041     FALSE       FALSE           FALSE
## 31   31  5.1004  0.6357400041     FALSE       FALSE           FALSE
## 32   32  6.0877  1.1042964150     FALSE       FALSE           FALSE
## 33   33  6.8147  1.4493187087     FALSE       FALSE           FALSE
## 34   34  7.3197  1.6889834383     FALSE       FALSE           FALSE
## 35   35  8.6966  2.3424376285     FALSE       FALSE           FALSE
## 36   36  9.1876  2.5754581874     FALSE       FALSE           FALSE
## 37   37  8.3248  2.1659874376     FALSE       FALSE           FALSE
## 38   38  7.8148  1.9239497899     FALSE       FALSE           FALSE
## 39   39  6.8185  1.4511221265     FALSE       FALSE           FALSE
## 40   40  7.2255  1.6442776610     FALSE       FALSE           FALSE
## 41   41  9.2229  2.5922109892     FALSE       FALSE           FALSE
## 42   42  6.6115  1.3528833166     FALSE       FALSE           FALSE
## 43   43  6.6115  1.3528833166     FALSE       FALSE           FALSE
## 44   44  6.4980  1.2990180754     FALSE       FALSE           FALSE
## 45   45  6.4980  1.2990180754     FALSE       FALSE           FALSE
## 46   46  5.2873  0.7244396832     FALSE       FALSE           FALSE
## 47   47  5.2873  0.7244396832     FALSE       FALSE           FALSE
## 48   48  5.2873  0.7244396832     FALSE       FALSE           FALSE
## 49   49  4.2515  0.2328659667     FALSE       FALSE           FALSE
## 50   50  4.5026  0.3520339144     FALSE       FALSE           FALSE
## 51   51  4.0522  0.1382814507     FALSE       FALSE           FALSE
## 52   52  4.0905  0.1564580034     FALSE       FALSE           FALSE
## 53   53  4.5026  0.3520339144     FALSE       FALSE           FALSE
## 54   54  5.4007  0.7782574661     FALSE       FALSE           FALSE
## 55   55  5.4007  0.7782574661     FALSE       FALSE           FALSE
## 56   56  5.4007  0.7782574661     FALSE       FALSE           FALSE
## 57   57  4.7794  0.4833986612     FALSE       FALSE           FALSE
## 58   58  4.4377  0.3212334373     FALSE       FALSE           FALSE
## 59   59  4.4272  0.3162503092     FALSE       FALSE           FALSE
## 60   60  3.7476 -0.0062767208     FALSE       FALSE           FALSE
## 61   61  3.4217 -0.1609435235     FALSE       FALSE           FALSE
## 62   62  3.4145 -0.1643605256     FALSE       FALSE           FALSE
## 63   63  3.0923 -0.3172713689     FALSE       FALSE           FALSE
## 64   64  3.0921 -0.3173662856     FALSE       FALSE           FALSE
## 65   65  3.6659 -0.0450502028     FALSE       FALSE           FALSE
## 66   66  3.6659 -0.0450502028     FALSE       FALSE           FALSE
## 67   67  3.6150 -0.0692065092     FALSE       FALSE           FALSE
## 68   68  3.4952 -0.1260616272     FALSE       FALSE           FALSE
## 69   69  3.4952 -0.1260616272     FALSE       FALSE           FALSE
## 70   70  3.4952 -0.1260616272     FALSE       FALSE           FALSE
## 71   71  3.4952 -0.1260616272     FALSE       FALSE           FALSE
## 72   72  3.4952 -0.1260616272     FALSE       FALSE           FALSE
## 73   73  2.7778 -0.4665279182     FALSE       FALSE           FALSE
## 74   74  2.8561 -0.4293680206     FALSE       FALSE           FALSE
## 75   75  2.7147 -0.4964741448     FALSE       FALSE           FALSE
## 76   76  2.7147 -0.4964741448     FALSE       FALSE           FALSE
## 77   77  2.4210 -0.6358593549     FALSE       FALSE           FALSE
## 78   78  2.1069 -0.7849260708     FALSE       FALSE           FALSE
## 79   79  2.1224 -0.7775700246     FALSE       FALSE           FALSE
## 80   80  2.7778 -0.4665279182     FALSE       FALSE           FALSE
## 81   81  2.6775 -0.5141286556     FALSE       FALSE           FALSE
## 82   82  2.3534 -0.6679412078     FALSE       FALSE           FALSE
## 83   83  2.5480 -0.5755872348     FALSE       FALSE           FALSE
## 84   84  2.2565 -0.7139283608     FALSE       FALSE           FALSE
## 85   85  2.4631 -0.6158793843     FALSE       FALSE           FALSE
## 86   86  2.7301 -0.4891655571     FALSE       FALSE           FALSE
## 87   87  2.7474 -0.4809552604     FALSE       FALSE           FALSE
## 88   88  2.7592 -0.4753551736     FALSE       FALSE           FALSE
## 89   89  2.2577 -0.7133588605     FALSE       FALSE           FALSE
## 90   90  2.1974 -0.7419762529     FALSE       FALSE           FALSE
## 91   91  2.0869 -0.7944177433     FALSE       FALSE           FALSE
## 92   92  1.9444 -0.8620459095     FALSE       FALSE           FALSE
## 93   93  2.0063 -0.8326691833     FALSE       FALSE           FALSE
## 94   94  1.9929 -0.8390286038     FALSE       FALSE           FALSE
## 95   95  1.7883 -0.9361284130     FALSE       FALSE           FALSE
## 96   96  1.8125 -0.9246434894     FALSE       FALSE           FALSE
## 97   97  1.9799 -0.8451981909     FALSE       FALSE           FALSE
## 98   98  2.1185 -0.7794209008     FALSE       FALSE           FALSE
## 99   99  2.2710 -0.7070468983     FALSE       FALSE           FALSE
## 100 100  2.3274 -0.6802803820     FALSE       FALSE           FALSE
## 101 101  2.4699 -0.6126522157     FALSE       FALSE           FALSE
## 102 102  2.3460 -0.6714531266     FALSE       FALSE           FALSE
## 103 103  2.1107 -0.7831226530     FALSE       FALSE           FALSE
## 104 104  1.9669 -0.8513677780     FALSE       FALSE           FALSE
## 105 105  1.8498 -0.9069415202     FALSE       FALSE           FALSE
## 106 106  1.6686 -0.9929360727     FALSE       FALSE           FALSE
## 107 107  1.6687 -0.9928886143     FALSE       FALSE           FALSE
## 108 108  1.6119 -1.0198449641     FALSE       FALSE           FALSE
## 109 109  1.3216 -1.1576165898     FALSE       FALSE           FALSE
## 110 110  1.4118 -1.1148091470     FALSE       FALSE           FALSE
## 111 111  1.3459 -1.1460842078     FALSE       FALSE           FALSE
## 112 112  1.4191 -1.1113446866     FALSE       FALSE           FALSE
## 113 113  1.5166 -1.0650727834     FALSE       FALSE           FALSE
## 114 114  1.4608 -1.0915545495     FALSE       FALSE           FALSE
## 115 115  1.5257 -1.0607540724     FALSE       FALSE           FALSE
## 116 116  1.6180 -1.0169500040     FALSE       FALSE           FALSE
## 117 117  1.5916 -1.0294790116     FALSE       FALSE           FALSE
## 118 118  1.6102 -1.0206517563     FALSE       FALSE           FALSE
## 119 119  1.6232 -1.0144821692     FALSE       FALSE           FALSE
## 120 120  1.7494 -0.9545897160     FALSE       FALSE           FALSE
## 121 121  1.7455 -0.9564405921     FALSE       FALSE           FALSE
## 122 122  1.7364 -0.9607593031     FALSE       FALSE           FALSE
## 123 123  1.8773 -0.8938904706     FALSE       FALSE           FALSE
## 124 124  1.7573 -0.9508405053     FALSE       FALSE           FALSE
## 125 125  1.7659 -0.9467590862     FALSE       FALSE           FALSE
## 126 126  1.7984 -0.9313351184     FALSE       FALSE           FALSE
## 127 127  1.9709 -0.8494694435     FALSE       FALSE           FALSE
## 128 128  2.0407 -0.8163435066     FALSE       FALSE           FALSE
## 129 129  2.1620 -0.7587765132     FALSE       FALSE           FALSE
## 130 130  2.4220 -0.6353847712     FALSE       FALSE           FALSE
## 131 131  2.2834 -0.7011620614     FALSE       FALSE           FALSE
## 132 132  2.0459 -0.8138756718     FALSE       FALSE           FALSE
## 133 133  2.4259 -0.6335338951     FALSE       FALSE           FALSE
## 134 134  2.1000 -0.7882006978     FALSE       FALSE           FALSE
## 135 135  2.4259 -0.6335338951     FALSE       FALSE           FALSE
## 136 136  2.3887 -0.6511884059     FALSE       FALSE           FALSE
## 137 137  2.5961 -0.5527597625     FALSE       FALSE           FALSE
## 138 138  2.6463 -0.5289356646     FALSE       FALSE           FALSE
## 139 139  2.7019 -0.5025488152     FALSE       FALSE           FALSE
## 140 140  3.1323 -0.2982880240     FALSE       FALSE           FALSE
## 141 141  3.5549 -0.0977289849     FALSE       FALSE           FALSE
## 142 142  2.9153 -0.4012726701     FALSE       FALSE           FALSE
## 143 143  2.8290 -0.4422292368     FALSE       FALSE           FALSE
## 144 144  2.7410 -0.4839925956     FALSE       FALSE           FALSE
## 145 145  2.8470 -0.4336867315     FALSE       FALSE           FALSE
## 146 146  2.9879 -0.3668178991     FALSE       FALSE           FALSE
## 147 147  3.2797 -0.2283343979     FALSE       FALSE           FALSE
## 148 148  3.7886  0.0131812077     FALSE       FALSE           FALSE
## 149 149  4.5667  0.3824547246     FALSE       FALSE           FALSE
## 150 150  4.5667  0.3824547246     FALSE       FALSE           FALSE
## 151 151  6.4798  1.2903806535     FALSE       FALSE           FALSE
## 152 152  6.4798  1.2903806535     FALSE       FALSE           FALSE
## 153 153  6.4798  1.2903806535     FALSE       FALSE           FALSE
## 154 154  6.2196  1.1668939948     FALSE       FALSE           FALSE
## 155 155  6.2196  1.1668939948     FALSE       FALSE           FALSE
## 156 156  5.6484  0.8958118294     FALSE       FALSE           FALSE
## 157 157  7.3090  1.6839053935     FALSE       FALSE           FALSE
## 158 158  7.3090  1.6839053935     FALSE       FALSE           FALSE
## 159 159  7.3090  1.6839053935     FALSE       FALSE           FALSE
## 160 160  7.6534  1.8473519932     FALSE       FALSE           FALSE
## 161 161  7.6534  1.8473519932     FALSE       FALSE           FALSE
## 162 162  6.2700  1.1908130094     FALSE       FALSE           FALSE
## 163 163  6.2700  1.1908130094     FALSE       FALSE           FALSE
## 164 164  5.1180  0.6440926759     FALSE       FALSE           FALSE
## 165 165  4.3549  0.2819379133     FALSE       FALSE           FALSE
## 166 166  4.2392  0.2270285882     FALSE       FALSE           FALSE
## 167 167  3.8750  0.0541852327     FALSE       FALSE           FALSE
## 168 168  3.8771  0.0551818583     FALSE       FALSE           FALSE
## 169 169  3.6526 -0.0513621650     FALSE       FALSE           FALSE
## 170 170  3.9454  0.0875959198     FALSE       FALSE           FALSE
## 171 171  3.5875 -0.0822575588     FALSE       FALSE           FALSE
## 172 172  3.9454  0.0875959198     FALSE       FALSE           FALSE
## 173 173  3.1121 -0.3078746131     FALSE       FALSE           FALSE
## 174 174  2.8893 -0.4136118443     FALSE       FALSE           FALSE
## 175 175  3.3633 -0.1886592071     FALSE       FALSE           FALSE
## 176 176  2.8617 -0.4267103523     FALSE       FALSE           FALSE
## 177 177  3.0480 -0.3382954234     FALSE       FALSE           FALSE
## 178 178  3.2721 -0.2319412335     FALSE       FALSE           FALSE
## 179 179  3.2721 -0.2319412335     FALSE       FALSE           FALSE
## 180 180  2.8944 -0.4111914678     FALSE       FALSE           FALSE
## 181 181  3.2157 -0.2587077498     FALSE       FALSE           FALSE
## 182 182  3.2157 -0.2587077498     FALSE       FALSE           FALSE
## 183 183  3.3751 -0.1830591203     FALSE       FALSE           FALSE
## 184 184  3.6715 -0.0423925345     FALSE       FALSE           FALSE
## 185 185  3.6715 -0.0423925345     FALSE       FALSE           FALSE
## 186 186  3.8384  0.0368154721     FALSE       FALSE           FALSE
## 187 187  3.6519 -0.0516943735     FALSE       FALSE           FALSE
## 188 188  3.6519 -0.0516943735     FALSE       FALSE           FALSE
## 189 189  3.6519 -0.0516943735     FALSE       FALSE           FALSE
## 190 190  4.1480  0.1837465618     FALSE       FALSE           FALSE
## 191 191  4.1480  0.1837465618     FALSE       FALSE           FALSE
## 192 192  6.1899  1.1527988612     FALSE       FALSE           FALSE
## 193 193  6.3361  1.2221829869     FALSE       FALSE           FALSE
## 194 194  6.3361  1.2221829869     FALSE       FALSE           FALSE
## 195 195  7.0355  1.5541067727     FALSE       FALSE           FALSE
## 196 196  7.0355  1.5541067727     FALSE       FALSE           FALSE
## 197 197  7.9549  1.9904389555     FALSE       FALSE           FALSE
## 198 198  8.0555  2.0381820680     FALSE       FALSE           FALSE
## 199 199  8.0555  2.0381820680     FALSE       FALSE           FALSE
## 200 200  7.8265  1.9295024183     FALSE       FALSE           FALSE
## 201 201  7.8265  1.9295024183     FALSE       FALSE           FALSE
## 202 202  7.3967  1.7255263772     FALSE       FALSE           FALSE
## 203 203  8.9067  2.4421476477     FALSE       FALSE           FALSE
## 204 204  9.2203  2.5909770718     FALSE       FALSE           FALSE
## 205 205  9.2203  2.5909770718     FALSE       FALSE           FALSE
## 206 206  6.3361  1.2221829869     FALSE       FALSE           FALSE
## 207 207  1.8010 -0.9301012010     FALSE       FALSE           FALSE
## 208 208  2.0107 -0.8305810153     FALSE       FALSE           FALSE
## 209 209  2.1121 -0.7824582360     FALSE       FALSE           FALSE
## 210 210  2.1398 -0.7693122696     FALSE       FALSE           FALSE
## 211 211  2.2885 -0.6987416849     FALSE       FALSE           FALSE
## 212 212  2.1329 -0.7725868966     FALSE       FALSE           FALSE
## 213 213  2.8720 -0.4218221410     FALSE       FALSE           FALSE
## 214 214  3.9175  0.0743550367     FALSE       FALSE           FALSE
## 215 215  4.4290  0.3171045598     FALSE       FALSE           FALSE
## 216 216  4.4290  0.3171045598     FALSE       FALSE           FALSE
## 217 217  3.9175  0.0743550367     FALSE       FALSE           FALSE
## 218 218  4.7872  0.4871004135     FALSE       FALSE           FALSE
## 219 219  4.8628  0.5229789354     FALSE       FALSE           FALSE
## 220 220  4.1403  0.1800922679     FALSE       FALSE           FALSE
## 221 221  4.6947  0.4432014284     FALSE       FALSE           FALSE
## 222 222  5.2447  0.7042224209     FALSE       FALSE           FALSE
## 223 223  5.2119  0.6886560781     FALSE       FALSE           FALSE
## 224 224  5.8850  1.0080983146     FALSE       FALSE           FALSE
## 225 225  7.3073  1.6830986014     FALSE       FALSE           FALSE
## 226 226  7.3073  1.6830986014     FALSE       FALSE           FALSE
## 227 227  9.0892  2.5287591589     FALSE       FALSE           FALSE
## 228 228  7.3172  1.6877969792     FALSE       FALSE           FALSE
## 229 229  7.3172  1.6877969792     FALSE       FALSE           FALSE
## 230 230  7.3172  1.6877969792     FALSE       FALSE           FALSE
## 231 231  5.1167  0.6434757172     FALSE       FALSE           FALSE
## 232 232  5.1167  0.6434757172     FALSE       FALSE           FALSE
## 233 233  5.1167  0.6434757172     FALSE       FALSE           FALSE
## 234 234  5.9604  1.0438819198     FALSE       FALSE           FALSE
## 235 235  5.9604  1.0438819198     FALSE       FALSE           FALSE
## 236 236  6.3200  1.2145421905     FALSE       FALSE           FALSE
## 237 237  7.8278  1.9301193770     FALSE       FALSE           FALSE
## 238 238  5.4917  0.8214445757     FALSE       FALSE           FALSE
## 239 239  5.4917  0.8214445757     FALSE       FALSE           FALSE
## 240 240  4.0220  0.1239490253     FALSE       FALSE           FALSE
## 241 241  3.1827 -0.2743690094     FALSE       FALSE           FALSE
## 242 242  3.3175 -0.2103951370     FALSE       FALSE           FALSE
## 243 243  3.1025 -0.3124306159     FALSE       FALSE           FALSE
## 244 244  2.6403 -0.5317831664     FALSE       FALSE           FALSE
## 245 245  2.8340 -0.4398563186     FALSE       FALSE           FALSE
## 246 246  3.2628 -0.2363548612     FALSE       FALSE           FALSE
## 247 247  3.6023 -0.0752337212     FALSE       FALSE           FALSE
## 248 248  3.9450  0.0874060863     FALSE       FALSE           FALSE
## 249 249  4.0317  0.1285524864     FALSE       FALSE           FALSE
## 250 250  3.5325 -0.1083596581     FALSE       FALSE           FALSE
## 251 251  4.0019  0.1144098945     FALSE       FALSE           FALSE
## 252 252  4.5404  0.3699731754     FALSE       FALSE           FALSE
## 253 253  4.5404  0.3699731754     FALSE       FALSE           FALSE
## 254 254  4.7211  0.4557304360     FALSE       FALSE           FALSE
## 255 255  4.7211  0.4557304360     FALSE       FALSE           FALSE
## 256 256  4.7211  0.4557304360     FALSE       FALSE           FALSE
## 257 257  5.4159  0.7854711371     FALSE       FALSE           FALSE
## 258 258  5.4159  0.7854711371     FALSE       FALSE           FALSE
## 259 259  5.4159  0.7854711371     FALSE       FALSE           FALSE
## 260 260  5.2146  0.6899374539     FALSE       FALSE           FALSE
## 261 261  5.2146  0.6899374539     FALSE       FALSE           FALSE
## 262 262  5.8736  1.0026880613     FALSE       FALSE           FALSE
## 263 263  6.6407  1.3667411584     FALSE       FALSE           FALSE
## 264 264  6.4584  1.2802245639     FALSE       FALSE           FALSE
## 265 265  6.4584  1.2802245639     FALSE       FALSE           FALSE
## 266 266  5.9853  1.0556990520     FALSE       FALSE           FALSE
## 267 267  5.2311  0.6977680836     FALSE       FALSE           FALSE
## 268 268  5.6150  0.8799607364     FALSE       FALSE           FALSE
## 269 269  4.8122  0.4989650040     FALSE       FALSE           FALSE
## 270 270  4.8122  0.4989650040     FALSE       FALSE           FALSE
## 271 271  7.0379  1.5552457734     FALSE       FALSE           FALSE
## 272 272  6.2669  1.1893418002     FALSE       FALSE           FALSE
## 273 273  5.7321  0.9355344787     FALSE       FALSE           FALSE
## 274 274  6.4654  1.2835466493     FALSE       FALSE           FALSE
## 275 275  8.0136  2.0182970142     FALSE       FALSE           FALSE
## 276 276  8.0136  2.0182970142     FALSE       FALSE           FALSE
## 277 277  8.5353  2.2658872902     FALSE       FALSE           FALSE
## 278 278  8.3440  2.1750994431     FALSE       FALSE           FALSE
## 279 279  8.7921  2.3877603645     FALSE       FALSE           FALSE
## 280 280 10.7103  3.2981066698      TRUE        TRUE           FALSE
## 281 281 12.1265  3.9702119965      TRUE        TRUE           FALSE
## 282 282 10.5857  3.2389735504      TRUE        TRUE           FALSE
## 283 283 10.5857  3.2389735504      TRUE        TRUE           FALSE
## 284 284  2.1222 -0.7776649414     FALSE       FALSE           FALSE
## 285 285  2.5052 -0.5958994138     FALSE       FALSE           FALSE
## 286 286  2.7227 -0.4926774759     FALSE       FALSE           FALSE
## 287 287  2.5182 -0.5897298267     FALSE       FALSE           FALSE
## 288 288  2.2955 -0.6954195995     FALSE       FALSE           FALSE
## 289 289  2.1036 -0.7864921968     FALSE       FALSE           FALSE
## 290 290  1.9047 -0.8808868793     FALSE       FALSE           FALSE
## 291 291  1.9047 -0.8808868793     FALSE       FALSE           FALSE
## 292 292  1.6132 -1.0192280054     FALSE       FALSE           FALSE
## 293 293  1.7523 -0.9532134235     FALSE       FALSE           FALSE
## 294 294  1.5106 -1.0679202851     FALSE       FALSE           FALSE
## 295 295  1.3325 -1.1524436283     FALSE       FALSE           FALSE
## 296 296  1.2024 -1.2141869576     FALSE       FALSE           FALSE
## 297 297  1.1691 -1.2299905923     FALSE       FALSE           FALSE
## 298 298  1.1296 -1.2487366454     FALSE       FALSE           FALSE
## 299 299  1.1742 -1.2275702158     FALSE       FALSE           FALSE
## 300 300  1.1370 -1.2452247266     FALSE       FALSE           FALSE
## 301 301  1.3163 -1.1601318830     FALSE       FALSE           FALSE
## 302 302  1.3449 -1.1465587914     FALSE       FALSE           FALSE
## 303 303  1.3580 -1.1403417459     FALSE       FALSE           FALSE
## 304 304  1.3861 -1.1270059461     FALSE       FALSE           FALSE
## 305 305  1.4165 -1.1125786040     FALSE       FALSE           FALSE
## 306 306  1.5804 -1.0347943482     FALSE       FALSE           FALSE
## 307 307  1.5331 -1.0572421536     FALSE       FALSE           FALSE
## 308 308  1.4672 -1.0885172143     FALSE       FALSE           FALSE
## 309 309  1.5184 -1.0642185328     FALSE       FALSE           FALSE
## 310 310  1.5895 -1.0304756372     FALSE       FALSE           FALSE
## 311 311  2.1678 -0.7560239282     FALSE       FALSE           FALSE
## 312 312  1.7700 -0.9448132933     FALSE       FALSE           FALSE
## 313 313  1.7912 -0.9347521205     FALSE       FALSE           FALSE
## 314 314  1.7821 -0.9390708315     FALSE       FALSE           FALSE
## 315 315  1.7257 -0.9658373478     FALSE       FALSE           FALSE
## 316 316  1.6768 -0.9890444870     FALSE       FALSE           FALSE
## 317 317  1.5004 -1.0727610380     FALSE       FALSE           FALSE
## 318 318  1.5888 -1.0308078458     FALSE       FALSE           FALSE
## 319 319  1.6390 -1.0069837479     FALSE       FALSE           FALSE
## 320 320  1.7028 -0.9767053128     FALSE       FALSE           FALSE
## 321 321  1.6074 -1.0219805904     FALSE       FALSE           FALSE
## 322 322  1.4254 -1.1083548098     FALSE       FALSE           FALSE
## 323 323  1.4547 -1.0944495096     FALSE       FALSE           FALSE
## 324 324  1.4130 -1.1142396467     FALSE       FALSE           FALSE
## 325 325  1.5275 -1.0598998219     FALSE       FALSE           FALSE
## 326 326  1.5539 -1.0473708142     FALSE       FALSE           FALSE
## 327 327  1.5894 -1.0305230956     FALSE       FALSE           FALSE
## 328 328  1.6582 -0.9978717424     FALSE       FALSE           FALSE
## 329 329  1.8347 -0.9141077329     FALSE       FALSE           FALSE
## 330 330  1.8195 -0.9213214040     FALSE       FALSE           FALSE
## 331 331  1.6475 -1.0029497871     FALSE       FALSE           FALSE
## 332 332  1.8026 -0.9293418672     FALSE       FALSE           FALSE
## 333 333  1.7940 -0.9334232864     FALSE       FALSE           FALSE
## 334 334  1.8589 -0.9026228093     FALSE       FALSE           FALSE
## 335 335  1.8746 -0.8951718464     FALSE       FALSE           FALSE
## 336 336  1.9512 -0.8588187409     FALSE       FALSE           FALSE
## 337 337  2.0218 -0.8253131371     FALSE       FALSE           FALSE
## 338 338  2.0635 -0.8055230000     FALSE       FALSE           FALSE
## 339 339  1.9096 -0.8785614196     FALSE       FALSE           FALSE
## 340 340  1.9976 -0.8367980608     FALSE       FALSE           FALSE
## 341 341  1.8629 -0.9007244748     FALSE       FALSE           FALSE
## 342 342  1.9682 -0.8507508193     FALSE       FALSE           FALSE
## 343 343  2.0527 -0.8106485032     FALSE       FALSE           FALSE
## 344 344  2.0882 -0.7938007845     FALSE       FALSE           FALSE
## 345 345  2.2004 -0.7405525021     FALSE       FALSE           FALSE
## 346 346  2.3158 -0.6857855520     FALSE       FALSE           FALSE
## 347 347  2.2222 -0.7302065791     FALSE       FALSE           FALSE
## 348 348  2.1247 -0.7764784823     FALSE       FALSE           FALSE
## 349 349  2.0026 -0.8344251427     FALSE       FALSE           FALSE
## 350 350  1.8206 -0.9207993620     FALSE       FALSE           FALSE
## 351 351  1.8172 -0.9224129463     FALSE       FALSE           FALSE
## 352 352  1.8662 -0.8991583488     FALSE       FALSE           FALSE
## 353 353  2.0048 -0.8333810587     FALSE       FALSE           FALSE
## 354 354  1.8956 -0.8852055903     FALSE       FALSE           FALSE
## 355 355  1.9879 -0.8414015219     FALSE       FALSE           FALSE
## 356 356  2.0720 -0.8014890392     FALSE       FALSE           FALSE
## 357 357  2.1980 -0.7416915028     FALSE       FALSE           FALSE
## 358 358  2.1850 -0.7478610899     FALSE       FALSE           FALSE
## 359 359  2.3236 -0.6820837997     FALSE       FALSE           FALSE
## 360 360  2.3552 -0.6670869573     FALSE       FALSE           FALSE
## 361 361  2.4527 -0.6208150540     FALSE       FALSE           FALSE
## 362 362  2.4961 -0.6002181248     FALSE       FALSE           FALSE
## 363 363  2.4358 -0.6288355173     FALSE       FALSE           FALSE
## 364 364  2.5806 -0.5601158087     FALSE       FALSE           FALSE
## 365 365  2.7792 -0.4658635012     FALSE       FALSE           FALSE
## 366 366  2.7175 -0.4951453107     FALSE       FALSE           FALSE
## 367 367  2.7344 -0.4871248475     FALSE       FALSE           FALSE
## 368 368  2.9634 -0.3784451978     FALSE       FALSE           FALSE
## 369 369  3.0665 -0.3295156263     FALSE       FALSE           FALSE
## 370 370  2.8715 -0.4220594328     FALSE       FALSE           FALSE
## 371 371  2.9084 -0.4045472971     FALSE       FALSE           FALSE
## 372 372  2.8237 -0.4447445300     FALSE       FALSE           FALSE
## 373 373  3.0334 -0.3452243442     FALSE       FALSE           FALSE
## 374 374  3.0993 -0.3139492835     FALSE       FALSE           FALSE
## 375 375  2.8965 -0.4101948422     FALSE       FALSE           FALSE
## 376 376  2.5329 -0.5827534475     FALSE       FALSE           FALSE
## 377 377  2.4298 -0.6316830190     FALSE       FALSE           FALSE
## 378 378  2.2060 -0.7378948338     FALSE       FALSE           FALSE
## 379 379  2.3053 -0.6907686800     FALSE       FALSE           FALSE
## 380 380  2.1007 -0.7878684893     FALSE       FALSE           FALSE
## 381 381  2.1705 -0.7547425524     FALSE       FALSE           FALSE
## 382 382  1.9512 -0.8588187409     FALSE       FALSE           FALSE
## 383 383  3.4242 -0.1597570644     FALSE       FALSE           FALSE
## 384 384  3.3317 -0.2036560496     FALSE       FALSE           FALSE
## 385 385  3.4106 -0.1662114017     FALSE       FALSE           FALSE
## 386 386  4.0983  0.1601597557     FALSE       FALSE           FALSE
## 387 387  3.7240 -0.0174768943     FALSE       FALSE           FALSE
## 388 388  3.9917  0.1095691415     FALSE       FALSE           FALSE
## 389 389  3.1523 -0.2887963515     FALSE       FALSE           FALSE
## 390 390  1.8209 -0.9206569869     FALSE       FALSE           FALSE
## 391 391  1.7554 -0.9517422142     FALSE       FALSE           FALSE
## 392 392  1.8226 -0.9198501948     FALSE       FALSE           FALSE
## 393 393  1.8681 -0.8982566399     FALSE       FALSE           FALSE
## 394 394  2.1099 -0.7835023199     FALSE       FALSE           FALSE
## 395 395  2.3817 -0.6545104912     FALSE       FALSE           FALSE
## 396 396  2.7986 -0.4566565789     FALSE       FALSE           FALSE
## 397 397  2.7986 -0.4566565789     FALSE       FALSE           FALSE
## 398 398  2.4091 -0.6415069000     FALSE       FALSE           FALSE
## 399 399  2.3999 -0.6458730693     FALSE       FALSE           FALSE
## 400 400  2.4982 -0.5992214992     FALSE       FALSE           FALSE
## 401 401  2.4786 -0.6085233382     FALSE       FALSE           FALSE
## 402 402  2.2875 -0.6992162685     FALSE       FALSE           FALSE
## 403 403  2.3889 -0.6510934892     FALSE       FALSE           FALSE
## 404 404  2.5050 -0.5959943306     FALSE       FALSE           FALSE
##        Z_robusto outlier_MAD
## 1    0.533351092       FALSE
## 2    1.009388787       FALSE
## 3    1.009388787       FALSE
## 4    1.603743911       FALSE
## 5    1.603743911       FALSE
## 6    1.543119797       FALSE
## 7    1.614544447       FALSE
## 8    1.891342103       FALSE
## 9    1.758153584       FALSE
## 10   1.693024723       FALSE
## 11   0.868493352       FALSE
## 12   0.735196285       FALSE
## 13   0.624477222       FALSE
## 14   0.374056754       FALSE
## 15   0.491180155       FALSE
## 16   0.536173342       FALSE
## 17   0.701383551       FALSE
## 18   0.731234279       FALSE
## 19   0.730582990       FALSE
## 20   0.614219427       FALSE
## 21   0.610962984       FALSE
## 22   0.579484035       FALSE
## 23   0.369009268       FALSE
## 24   0.354138178       FALSE
## 25   0.137313347       FALSE
## 26   0.146865580       FALSE
## 27   0.401627972       FALSE
## 28   1.418506577       FALSE
## 29   1.418506577       FALSE
## 30   1.081736096       FALSE
## 31   1.081736096       FALSE
## 32   1.617583794       FALSE
## 33   2.012156139       FALSE
## 34   2.286240093       FALSE
## 35   3.033539491       FALSE
## 36   3.300025077       FALSE
## 37   2.831748572       FALSE
## 38   2.554950915       FALSE
## 39   2.014218553       FALSE
## 40   2.235113937       FALSE
## 41   3.319183817       FALSE
## 42   1.901871269       FALSE
## 43   1.901871269       FALSE
## 44   1.840270222       FALSE
## 45   1.840270222       FALSE
## 46   1.183174295       FALSE
## 47   1.183174295       FALSE
## 48   1.183174295       FALSE
## 49   0.621003683       FALSE
## 50   0.757285823       FALSE
## 51   0.512835501       FALSE
## 52   0.533622462       FALSE
## 53   0.757285823       FALSE
## 54   1.244721068       FALSE
## 55   1.244721068       FALSE
## 56   1.244721068       FALSE
## 57   0.907516394       FALSE
## 58   0.722061965       FALSE
## 59   0.716363189       FALSE
## 60   0.347516744       FALSE
## 61   0.170637614       FALSE
## 62   0.166729882       FALSE
## 63  -0.008141108       FALSE
## 64  -0.008249656       FALSE
## 65   0.303174845       FALSE
## 66   0.303174845       FALSE
## 67   0.275549353       FALSE
## 68   0.210529041       FALSE
## 69   0.210529041       FALSE
## 70   0.210529041       FALSE
## 71   0.210529041       FALSE
## 72   0.210529041       FALSE
## 73  -0.178832996       FALSE
## 74  -0.136336414       FALSE
## 75  -0.213079921       FALSE
## 76  -0.213079921       FALSE
## 77  -0.372482807       FALSE
## 78  -0.542957599       FALSE
## 79  -0.534545121       FALSE
## 80  -0.178832996       FALSE
## 81  -0.233269868       FALSE
## 82  -0.409172065       FALSE
## 83  -0.303554763       FALSE
## 84  -0.461763620       FALSE
## 85  -0.349633432       FALSE
## 86  -0.204721718       FALSE
## 87  -0.195332307       FALSE
## 88  -0.188927969       FALSE
## 89  -0.461112331       FALSE
## 90  -0.493839583       FALSE
## 91  -0.553812409       FALSE
## 92  -0.631152930       FALSE
## 93  -0.597557293       FALSE
## 94  -0.604830016       FALSE
## 95  -0.715874723       FALSE
## 96  -0.702740403       FALSE
## 97  -0.611885643       FALSE
## 98  -0.536661809       FALSE
## 99  -0.453893882       FALSE
## 100 -0.423283318       FALSE
## 101 -0.345942796       FALSE
## 102 -0.413188345       FALSE
## 103 -0.540895185       FALSE
## 104 -0.618941269       FALSE
## 105 -0.682496182       FALSE
## 106 -0.780840761       FALSE
## 107 -0.780786487       FALSE
## 108 -0.811614147       FALSE
## 109 -0.969171715       FALSE
## 110 -0.920216522       FALSE
## 111 -0.955983121       FALSE
## 112 -0.916254516       FALSE
## 113 -0.863337317       FALSE
## 114 -0.893622237       FALSE
## 115 -0.858398379       FALSE
## 116 -0.808303430       FALSE
## 117 -0.822631780       FALSE
## 118 -0.812536806       FALSE
## 119 -0.805481180       FALSE
## 120 -0.736987328       FALSE
## 121 -0.739104016       FALSE
## 122 -0.744042955       FALSE
## 123 -0.667570818       FALSE
## 124 -0.732699678       FALSE
## 125 -0.728032110       FALSE
## 126 -0.710393044       FALSE
## 127 -0.616770307       FALSE
## 128 -0.578887020       FALSE
## 129 -0.513052597       FALSE
## 130 -0.371940066       FALSE
## 131 -0.447163900       FALSE
## 132 -0.576064769       FALSE
## 133 -0.369823378       FALSE
## 134 -0.546702508       FALSE
## 135 -0.369823378       FALSE
## 136 -0.390013325       FALSE
## 137 -0.277448945       FALSE
## 138 -0.250203372       FALSE
## 139 -0.220027000       FALSE
## 140  0.013568513       FALSE
## 141  0.242930649       FALSE
## 142 -0.104206176       FALSE
## 143 -0.151044682       FALSE
## 144 -0.198805846       FALSE
## 145 -0.141275353       FALSE
## 146 -0.064803216       FALSE
## 147  0.093568463       FALSE
## 148  0.369769104       FALSE
## 149  0.792075489       FALSE
## 150  0.792075489       FALSE
## 151  1.830392345       FALSE
## 152  1.830392345       FALSE
## 153  1.830392345       FALSE
## 154  1.689171266       FALSE
## 155  1.689171266       FALSE
## 156  1.379157891       FALSE
## 157  2.280432769       FALSE
## 158  2.280432769       FALSE
## 159  2.280432769       FALSE
## 160  2.467352598       FALSE
## 161  2.467352598       FALSE
## 162  1.716525387       FALSE
## 163  1.716525387       FALSE
## 164  1.091288328       FALSE
## 165  0.677123051       FALSE
## 166  0.614327975       FALSE
## 167  0.416661884       FALSE
## 168  0.417801639       FALSE
## 169  0.295956396       FALSE
## 170  0.454870815       FALSE
## 171  0.260623989       FALSE
## 172  0.454870815       FALSE
## 173  0.002605154       FALSE
## 174 -0.118317430       FALSE
## 175  0.138941569       FALSE
## 176 -0.133297067       FALSE
## 177 -0.032184512       FALSE
## 178  0.089443635       FALSE
## 179  0.089443635       FALSE
## 180 -0.115549453       FALSE
## 181  0.058833070       FALSE
## 182  0.058833070       FALSE
## 183  0.145345907       FALSE
## 184  0.306214192       FALSE
## 185  0.306214192       FALSE
## 186  0.396797581       FALSE
## 187  0.295576478       FALSE
## 188  0.295576478       FALSE
## 189  0.295576478       FALSE
## 190  0.564830041       FALSE
## 191  0.564830041       FALSE
## 192  1.673051873       FALSE
## 193  1.752400534       FALSE
## 194  1.752400534       FALSE
## 195  2.131993242       FALSE
## 196  2.131993242       FALSE
## 197  2.630988860       FALSE
## 198  2.685588554       FALSE
## 199  2.685588554       FALSE
## 200  2.561300979       FALSE
## 201  2.561300979       FALSE
## 202  2.328031111       FALSE
## 203  3.147569270       FALSE
## 204  3.317772692       FALSE
## 205  3.317772692       FALSE
## 206  1.752400534       FALSE
## 207 -0.708981918       FALSE
## 208 -0.595169235       FALSE
## 209 -0.540135348       FALSE
## 210 -0.525101436       FALSE
## 211 -0.444395923       FALSE
## 212 -0.528846346       FALSE
## 213 -0.127706840       FALSE
## 214  0.439728355       FALSE
## 215  0.717340122       FALSE
## 216  0.717340122       FALSE
## 217  0.439728355       FALSE
## 218  0.911749770       FALSE
## 219  0.952780952       FALSE
## 220  0.560650939       FALSE
## 221  0.861546274       FALSE
## 222  1.160053550       FALSE
## 223  1.142251662       FALSE
## 224  1.507570294       FALSE
## 225  2.279510110       FALSE
## 226  2.279510110       FALSE
## 227  3.246619412       FALSE
## 228  2.284883241       FALSE
## 229  2.284883241       FALSE
## 230  2.284883241       FALSE
## 231  1.090582766       FALSE
## 232  1.090582766       FALSE
## 233  1.090582766       FALSE
## 234  1.548492928       FALSE
## 235  1.548492928       FALSE
## 236  1.743662412       FALSE
## 237  2.562006542       FALSE
## 238  1.294110454       FALSE
## 239  1.294110454       FALSE
## 240  0.496444738       FALSE
## 241  0.040922634       FALSE
## 242  0.114084054       FALSE
## 243 -0.002605154       FALSE
## 244 -0.253459815       FALSE
## 245 -0.148330979       FALSE
## 246  0.084396148       FALSE
## 247  0.268656549       FALSE
## 248  0.454653719       FALSE
## 249  0.501709321       FALSE
## 250  0.230773262       FALSE
## 251  0.485535654       FALSE
## 252  0.777801414       FALSE
## 253  0.777801414       FALSE
## 254  0.875874623       FALSE
## 255  0.875874623       FALSE
## 256  0.875874623       FALSE
## 257  1.252970724       FALSE
## 258  1.252970724       FALSE
## 259  1.252970724       FALSE
## 260  1.143717061       FALSE
## 261  1.143717061       FALSE
## 262  1.501383052       FALSE
## 263  1.917719292       FALSE
## 264  1.818777698       FALSE
## 265  1.818777698       FALSE
## 266  1.562007166       FALSE
## 267  1.152672279       FALSE
## 268  1.361030358       FALSE
## 269  0.925318283       FALSE
## 270  0.925318283       FALSE
## 271  2.133295819       FALSE
## 272  1.714842892       FALSE
## 273  1.424585271       FALSE
## 274  1.822576881       FALSE
## 275  2.662847727       FALSE
## 276  2.662847727       FALSE
## 277  2.945995448       FALSE
## 278  2.842169189       FALSE
## 279  3.085371209       FALSE
## 280  4.126456040        TRUE
## 281  4.895085140        TRUE
## 282  4.058830574        TRUE
## 283  4.058830574        TRUE
## 284 -0.534653669       FALSE
## 285 -0.326784057       FALSE
## 286 -0.208737997       FALSE
## 287 -0.319728430       FALSE
## 288 -0.440596740       FALSE
## 289 -0.544748642       FALSE
## 290 -0.652699728       FALSE
## 291 -0.652699728       FALSE
## 292 -0.810908585       FALSE
## 293 -0.735413381       FALSE
## 294 -0.866593760       FALSE
## 295 -0.963255844       FALSE
## 296 -1.033866383       FALSE
## 297 -1.051939642       FALSE
## 298 -1.073377892       FALSE
## 299 -1.049171665       FALSE
## 300 -1.069361612       FALSE
## 301 -0.972048240       FALSE
## 302 -0.956525862       FALSE
## 303 -0.949415961       FALSE
## 304 -0.934164953       FALSE
## 305 -0.917665642       FALSE
## 306 -0.828710473       FALSE
## 307 -0.854382099       FALSE
## 308 -0.890148698       FALSE
## 309 -0.862360384       FALSE
## 310 -0.823771535       FALSE
## 311 -0.509904702       FALSE
## 312 -0.725806874       FALSE
## 313 -0.714300775       FALSE
## 314 -0.719239714       FALSE
## 315 -0.749850278       FALSE
## 316 -0.776390289       FALSE
## 317 -0.872129713       FALSE
## 318 -0.824151453       FALSE
## 319 -0.796905880       FALSE
## 320 -0.762279036       FALSE
## 321 -0.814056480       FALSE
## 322 -0.912835251       FALSE
## 323 -0.896932954       FALSE
## 324 -0.919565233       FALSE
## 325 -0.857421446       FALSE
## 326 -0.843093097       FALSE
## 327 -0.823825809       FALSE
## 328 -0.786485262       FALSE
## 329 -0.690691563       FALSE
## 330 -0.698941219       FALSE
## 331 -0.792292586       FALSE
## 332 -0.708113534       FALSE
## 333 -0.712781102       FALSE
## 334 -0.677557243       FALSE
## 335 -0.669036217       FALSE
## 336 -0.627462295       FALSE
## 337 -0.589144815       FALSE
## 338 -0.566512537       FALSE
## 339 -0.650040300       FALSE
## 340 -0.602279136       FALSE
## 341 -0.675386281       FALSE
## 342 -0.618235706       FALSE
## 343 -0.572374134       FALSE
## 344 -0.553106846       FALSE
## 345 -0.492211362       FALSE
## 346 -0.429579108       FALSE
## 347 -0.480379619       FALSE
## 348 -0.533296818       FALSE
## 349 -0.599565433       FALSE
## 350 -0.698344205       FALSE
## 351 -0.700189522       FALSE
## 352 -0.673595238       FALSE
## 353 -0.598371404       FALSE
## 354 -0.657638667       FALSE
## 355 -0.607543718       FALSE
## 356 -0.561899242       FALSE
## 357 -0.493513939       FALSE
## 358 -0.500569565       FALSE
## 359 -0.425345732       FALSE
## 360 -0.408195132       FALSE
## 361 -0.355277933       FALSE
## 362 -0.331722995       FALSE
## 363 -0.364450247       FALSE
## 364 -0.285861423       FALSE
## 365 -0.178073159       FALSE
## 366 -0.211560248       FALSE
## 367 -0.202387933       FALSE
## 368 -0.078100358       FALSE
## 369 -0.022143813       FALSE
## 370 -0.127978210       FALSE
## 371 -0.107951086       FALSE
## 372 -0.153921207       FALSE
## 373 -0.040108523       FALSE
## 374 -0.004341924       FALSE
## 375 -0.114409698       FALSE
## 376 -0.311750145       FALSE
## 377 -0.367706690       FALSE
## 378 -0.489172015       FALSE
## 379 -0.435277883       FALSE
## 380 -0.546322590       FALSE
## 381 -0.508439303       FALSE
## 382 -0.627462295       FALSE
## 383  0.171994465       FALSE
## 384  0.121790969       FALSE
## 385  0.164613194       FALSE
## 386  0.537855838       FALSE
## 387  0.334708068       FALSE
## 388  0.479999700       FALSE
## 389  0.024423323       FALSE
## 390 -0.698181382       FALSE
## 391 -0.733730885       FALSE
## 392 -0.697258724       FALSE
## 393 -0.672564031       FALSE
## 394 -0.541329377       FALSE
## 395 -0.393812509       FALSE
## 396 -0.167543993       FALSE
## 397 -0.167543993       FALSE
## 398 -0.378941419       FALSE
## 399 -0.383934631       FALSE
## 400 -0.330583240       FALSE
## 401 -0.341220954       FALSE
## 402 -0.444938664       FALSE
## 403 -0.389904777       FALSE
## 404 -0.326892605       FALSE
## 
## ===== AL MENOS UN MÉTODO =====
##    ID   Valor  Z_score outlier_Z outlier_IQR Z_robusto outlier_MAD
## 1 280 10.7103 3.298107      TRUE        TRUE  4.126456        TRUE
## 2 281 12.1265 3.970212      TRUE        TRUE  4.895085        TRUE
## 3 282 10.5857 3.238974      TRUE        TRUE  4.058831        TRUE
## 4 283 10.5857 3.238974      TRUE        TRUE  4.058831        TRUE
##   metodos_evaluados numero_metodos
## 1                 3              3
## 2                 3              3
## 3                 3              3
## 4                 3              3
## 
## ===== AL MENOS DOS MÉTODOS =====
##    ID   Valor  Z_score outlier_Z outlier_IQR Z_robusto outlier_MAD
## 1 280 10.7103 3.298107      TRUE        TRUE  4.126456        TRUE
## 2 281 12.1265 3.970212      TRUE        TRUE  4.895085        TRUE
## 3 282 10.5857 3.238974      TRUE        TRUE  4.058831        TRUE
## 4 283 10.5857 3.238974      TRUE        TRUE  4.058831        TRUE
##   metodos_evaluados numero_metodos
## 1                 3              3
## 2                 3              3
## 3                 3              3
## 4                 3              3
## 
## ===== LOS TRES MÉTODOS =====
##    ID   Valor  Z_score Z_robusto
## 1 280 10.7103 3.298107  4.126456
## 2 281 12.1265 3.970212  4.895085
## 3 282 10.5857 3.238974  4.058831
## 4 283 10.5857 3.238974  4.058831
## 
## ================ RESUMEN ================
##  Variable        Metodo N_evaluados N_outliers Porcentaje
##       dis       Z-score         404          4       0.99
##       dis           IQR         404          4       0.99
##       dis Tukey extremo         404          0       0.00
##       dis           MAD         404          4       0.99
## Warning: No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.

## 
## ================ CLASIFICACIÓN FINAL ================
##    ID   Valor  Z_score Z_robusto metodos_evaluados numero_metodos
## 1 280 10.7103 3.298107  4.126456                 3              3
## 2 281 12.1265 3.970212  4.895085                 3              3
## 3 282 10.5857 3.238974  4.058831                 3              3
## 4 283 10.5857 3.238974  4.058831                 3              3
##             clasificacion
## 1 Outlier según 3 métodos
## 2 Outlier según 3 métodos
## 3 Outlier según 3 métodos
## 4 Outlier según 3 métodos
## 
## ========================================
##  VARIABLE: rad 
## ========================================
## 
## ================ MÉTODO Z ================
## Límite inferior = -16.66963 
## Límite superior = 35.77854 
## Número de outliers = 0 
## [1] ID      Valor   Z_score
## <0 rows> (o 0- extensión row.names)
## 
## ================ MÉTODO IQR ================
## Q1 = 4 
## Q3 = 24 
## IQR = 20 
## Límite inferior = -26 
## Límite superior = 54 
## Número de outliers = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## =========== OUTLIERS EXTREMOS TUKEY ===========
## Límite inferior = -56 
## Límite superior = 84 
## Número de outliers extremos = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## ================ MÉTODO MAD ================
## Mediana = 5 
## MAD = 2 
## MAD ajustada = 2.9652 
## Número de outliers = 106 
##      ID Valor Z_robusto
## 1   284    24  6.407662
## 2   285    24  6.407662
## 3   286    24  6.407662
## 4   287    24  6.407662
## 5   288    24  6.407662
## 6   289    24  6.407662
## 7   290    24  6.407662
## 8   291    24  6.407662
## 9   292    24  6.407662
## 10  293    24  6.407662
## 11  294    24  6.407662
## 12  295    24  6.407662
## 13  296    24  6.407662
## 14  297    24  6.407662
## 15  298    24  6.407662
## 16  299    24  6.407662
## 17  300    24  6.407662
## 18  301    24  6.407662
## 19  302    24  6.407662
## 20  303    24  6.407662
## 21  304    24  6.407662
## 22  305    24  6.407662
## 23  306    24  6.407662
## 24  307    24  6.407662
## 25  308    24  6.407662
## 26  309    24  6.407662
## 27  310    24  6.407662
## 28  311    24  6.407662
## 29  312    24  6.407662
## 30  313    24  6.407662
## 31  314    24  6.407662
## 32  315    24  6.407662
## 33  316    24  6.407662
## 34  317    24  6.407662
## 35  318    24  6.407662
## 36  319    24  6.407662
## 37  320    24  6.407662
## 38  321    24  6.407662
## 39  322    24  6.407662
## 40  323    24  6.407662
## 41  324    24  6.407662
## 42  325    24  6.407662
## 43  326    24  6.407662
## 44  327    24  6.407662
## 45  328    24  6.407662
## 46  329    24  6.407662
## 47  330    24  6.407662
## 48  331    24  6.407662
## 49  332    24  6.407662
## 50  333    24  6.407662
## 51  334    24  6.407662
## 52  335    24  6.407662
## 53  336    24  6.407662
## 54  337    24  6.407662
## 55  338    24  6.407662
## 56  339    24  6.407662
## 57  340    24  6.407662
## 58  341    24  6.407662
## 59  342    24  6.407662
## 60  343    24  6.407662
## 61  344    24  6.407662
## 62  345    24  6.407662
## 63  346    24  6.407662
## 64  347    24  6.407662
## 65  348    24  6.407662
## 66  349    24  6.407662
## 67  350    24  6.407662
## 68  351    24  6.407662
## 69  352    24  6.407662
## 70  353    24  6.407662
## 71  354    24  6.407662
## 72  355    24  6.407662
## 73  356    24  6.407662
## 74  357    24  6.407662
## 75  358    24  6.407662
## 76  359    24  6.407662
## 77  360    24  6.407662
## 78  361    24  6.407662
## 79  362    24  6.407662
## 80  363    24  6.407662
## 81  364    24  6.407662
## 82  365    24  6.407662
## 83  366    24  6.407662
## 84  367    24  6.407662
## 85  368    24  6.407662
## 86  369    24  6.407662
## 87  370    24  6.407662
## 88  371    24  6.407662
## 89  372    24  6.407662
## 90  373    24  6.407662
## 91  374    24  6.407662
## 92  375    24  6.407662
## 93  376    24  6.407662
## 94  377    24  6.407662
## 95  378    24  6.407662
## 96  379    24  6.407662
## 97  380    24  6.407662
## 98  381    24  6.407662
## 99  382    24  6.407662
## 100 383    24  6.407662
## 101 384    24  6.407662
## 102 385    24  6.407662
## 103 386    24  6.407662
## 104 387    24  6.407662
## 105 388    24  6.407662
## 106 389    24  6.407662
## 
## ================ COMPARACIÓN ================
##      ID Valor    Z_score outlier_Z outlier_IQR outlier_extremo  Z_robusto
## 1     1     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 2     2     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 3     3     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 4     4     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 5     5     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 6     6     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 7     7     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 8     8     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 9     9     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 10   10     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 11   11     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 12   12     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 13   13     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 14   14     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 15   15     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 16   16     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 17   17     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 18   18     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 19   19     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 20   20     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 21   21     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 22   22     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 23   23     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 24   24     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 25   25     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 26   26     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 27   27     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 28   28     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 29   29     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 30   30     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 31   31     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 32   32     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 33   33     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 34   34     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 35   35     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 36   36     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 37   37     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 38   38     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 39   39     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 40   40     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 41   41     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 42   42     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 43   43     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 44   44     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 45   45     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 46   46     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 47   47     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 48   48     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 49   49     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 50   50     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 51   51     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 52   52     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 53   53     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 54   54     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 55   55     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 56   56     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 57   57     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 58   58     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 59   59     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 60   60     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 61   61     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 62   62     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 63   63     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 64   64     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 65   65     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 66   66     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 67   67     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 68   68     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 69   69     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 70   70     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 71   71     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 72   72     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 73   73     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 74   74     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 75   75     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 76   76     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 77   77     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 78   78     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 79   79     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 80   80     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 81   81     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 82   82     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 83   83     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 84   84     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 85   85     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 86   86     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 87   87     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 88   88     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 89   89     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 90   90     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 91   91     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 92   92     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 93   93     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 94   94     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 95   95     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 96   96     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 97   97     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 98   98     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 99   99     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 100 100     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 101 101     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 102 102     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 103 103     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 104 104     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 105 105     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 106 106     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 107 107     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 108 108     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 109 109     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 110 110     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 111 111     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 112 112     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 113 113     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 114 114     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 115 115     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 116 116     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 117 117     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 118 118     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 119 119     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 120 120     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 121 121     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 122 122     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 123 123     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 124 124     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 125 125     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 126 126     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 127 127     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 128 128     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 129 129     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 130 130     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 131 131     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 132 132     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 133 133     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 134 134     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 135 135     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 136 136     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 137 137     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 138 138     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 139 139     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 140 140     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 141 141     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 142 142     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 143 143     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 144 144     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 145 145     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 146 146     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 147 147     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 148 148     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 149 149     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 150 150     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 151 151     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 152 152     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 153 153     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 154 154     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 155 155     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 156 156     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 157 157     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 158 158     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 159 159     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 160 160     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 161 161     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 162 162     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 163 163     2 -0.8642194     FALSE       FALSE           FALSE -1.0117361
## 164 164     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 165 165     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 166 166     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 167 167     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 168 168     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 169 169     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 170 170     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 171 171     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 172 172     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 173 173     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 174 174     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 175 175     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 176 176     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 177 177     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 178 178     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 179 179     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 180 180     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 181 181     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 182 182     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 183 183     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 184 184     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 185 185     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 186 186     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 187 187     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 188 188     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 189 189     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 190 190     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 191 191     8 -0.1778276     FALSE       FALSE           FALSE  1.0117361
## 192 192     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 193 193     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 194 194     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 195 195     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 196 196     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 197 197     7 -0.2922262     FALSE       FALSE           FALSE  0.6744908
## 198 198     7 -0.2922262     FALSE       FALSE           FALSE  0.6744908
## 199 199     7 -0.2922262     FALSE       FALSE           FALSE  0.6744908
## 200 200     7 -0.2922262     FALSE       FALSE           FALSE  0.6744908
## 201 201     7 -0.2922262     FALSE       FALSE           FALSE  0.6744908
## 202 202     7 -0.2922262     FALSE       FALSE           FALSE  0.6744908
## 203 203     7 -0.2922262     FALSE       FALSE           FALSE  0.6744908
## 204 204     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 205 205     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 206 206     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 207 207     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 208 208     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 209 209     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 210 210     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 211 211     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 212 212     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 213 213     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 214 214     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 215 215     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 216 216     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 217 217     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 218 218     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 219 219     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 220 220     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 221 221     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 222 222     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 223 223     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 224 224     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 225 225     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 226 226     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 227 227     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 228 228     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 229 229     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 230 230     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 231 231     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 232 232     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 233 233     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 234 234     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 235 235     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 236 236     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 237 237     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 238 238     7 -0.2922262     FALSE       FALSE           FALSE  0.6744908
## 239 239     7 -0.2922262     FALSE       FALSE           FALSE  0.6744908
## 240 240     7 -0.2922262     FALSE       FALSE           FALSE  0.6744908
## 241 241     7 -0.2922262     FALSE       FALSE           FALSE  0.6744908
## 242 242     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 243 243     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 244 244     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 245 245     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 246 246     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 247 247     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 248 248     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 249 249     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 250 250     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 251 251     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 252 252     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 253 253     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 254 254     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 255 255     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 256 256     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 257 257     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 258 258     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 259 259     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 260 260     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 261 261     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 262 262     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 263 263     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 264 264     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 265 265     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 266 266     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 267 267     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 268 268     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 269 269     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 270 270     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 271 271     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 272 272     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 273 273     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 274 274     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 275 275     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 276 276     3 -0.7498208     FALSE       FALSE           FALSE -0.6744908
## 277 277     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 278 278     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 279 279     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 280 280     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 281 281     5 -0.5210235     FALSE       FALSE           FALSE  0.0000000
## 282 282     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 283 283     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 284 284    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 285 285    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 286 286    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 287 287    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 288 288    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 289 289    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 290 290    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 291 291    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 292 292    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 293 293    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 294 294    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 295 295    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 296 296    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 297 297    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 298 298    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 299 299    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 300 300    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 301 301    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 302 302    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 303 303    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 304 304    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 305 305    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 306 306    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 307 307    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 308 308    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 309 309    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 310 310    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 311 311    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 312 312    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 313 313    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 314 314    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 315 315    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 316 316    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 317 317    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 318 318    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 319 319    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 320 320    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 321 321    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 322 322    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 323 323    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 324 324    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 325 325    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 326 326    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 327 327    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 328 328    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 329 329    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 330 330    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 331 331    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 332 332    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 333 333    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 334 334    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 335 335    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 336 336    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 337 337    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 338 338    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 339 339    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 340 340    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 341 341    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 342 342    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 343 343    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 344 344    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 345 345    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 346 346    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 347 347    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 348 348    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 349 349    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 350 350    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 351 351    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 352 352    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 353 353    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 354 354    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 355 355    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 356 356    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 357 357    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 358 358    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 359 359    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 360 360    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 361 361    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 362 362    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 363 363    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 364 364    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 365 365    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 366 366    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 367 367    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 368 368    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 369 369    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 370 370    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 371 371    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 372 372    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 373 373    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 374 374    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 375 375    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 376 376    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 377 377    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 378 378    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 379 379    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 380 380    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 381 381    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 382 382    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 383 383    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 384 384    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 385 385    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 386 386    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 387 387    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 388 388    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 389 389    24  1.6525507     FALSE       FALSE           FALSE  6.4076622
## 390 390     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 391 391     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 392 392     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 393 393     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 394 394     4 -0.6354222     FALSE       FALSE           FALSE -0.3372454
## 395 395     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 396 396     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 397 397     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 398 398     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 399 399     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 400 400     6 -0.4066249     FALSE       FALSE           FALSE  0.3372454
## 401 401     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 402 402     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 403 403     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
## 404 404     1 -0.9786181     FALSE       FALSE           FALSE -1.3489815
##     outlier_MAD
## 1         FALSE
## 2         FALSE
## 3         FALSE
## 4         FALSE
## 5         FALSE
## 6         FALSE
## 7         FALSE
## 8         FALSE
## 9         FALSE
## 10        FALSE
## 11        FALSE
## 12        FALSE
## 13        FALSE
## 14        FALSE
## 15        FALSE
## 16        FALSE
## 17        FALSE
## 18        FALSE
## 19        FALSE
## 20        FALSE
## 21        FALSE
## 22        FALSE
## 23        FALSE
## 24        FALSE
## 25        FALSE
## 26        FALSE
## 27        FALSE
## 28        FALSE
## 29        FALSE
## 30        FALSE
## 31        FALSE
## 32        FALSE
## 33        FALSE
## 34        FALSE
## 35        FALSE
## 36        FALSE
## 37        FALSE
## 38        FALSE
## 39        FALSE
## 40        FALSE
## 41        FALSE
## 42        FALSE
## 43        FALSE
## 44        FALSE
## 45        FALSE
## 46        FALSE
## 47        FALSE
## 48        FALSE
## 49        FALSE
## 50        FALSE
## 51        FALSE
## 52        FALSE
## 53        FALSE
## 54        FALSE
## 55        FALSE
## 56        FALSE
## 57        FALSE
## 58        FALSE
## 59        FALSE
## 60        FALSE
## 61        FALSE
## 62        FALSE
## 63        FALSE
## 64        FALSE
## 65        FALSE
## 66        FALSE
## 67        FALSE
## 68        FALSE
## 69        FALSE
## 70        FALSE
## 71        FALSE
## 72        FALSE
## 73        FALSE
## 74        FALSE
## 75        FALSE
## 76        FALSE
## 77        FALSE
## 78        FALSE
## 79        FALSE
## 80        FALSE
## 81        FALSE
## 82        FALSE
## 83        FALSE
## 84        FALSE
## 85        FALSE
## 86        FALSE
## 87        FALSE
## 88        FALSE
## 89        FALSE
## 90        FALSE
## 91        FALSE
## 92        FALSE
## 93        FALSE
## 94        FALSE
## 95        FALSE
## 96        FALSE
## 97        FALSE
## 98        FALSE
## 99        FALSE
## 100       FALSE
## 101       FALSE
## 102       FALSE
## 103       FALSE
## 104       FALSE
## 105       FALSE
## 106       FALSE
## 107       FALSE
## 108       FALSE
## 109       FALSE
## 110       FALSE
## 111       FALSE
## 112       FALSE
## 113       FALSE
## 114       FALSE
## 115       FALSE
## 116       FALSE
## 117       FALSE
## 118       FALSE
## 119       FALSE
## 120       FALSE
## 121       FALSE
## 122       FALSE
## 123       FALSE
## 124       FALSE
## 125       FALSE
## 126       FALSE
## 127       FALSE
## 128       FALSE
## 129       FALSE
## 130       FALSE
## 131       FALSE
## 132       FALSE
## 133       FALSE
## 134       FALSE
## 135       FALSE
## 136       FALSE
## 137       FALSE
## 138       FALSE
## 139       FALSE
## 140       FALSE
## 141       FALSE
## 142       FALSE
## 143       FALSE
## 144       FALSE
## 145       FALSE
## 146       FALSE
## 147       FALSE
## 148       FALSE
## 149       FALSE
## 150       FALSE
## 151       FALSE
## 152       FALSE
## 153       FALSE
## 154       FALSE
## 155       FALSE
## 156       FALSE
## 157       FALSE
## 158       FALSE
## 159       FALSE
## 160       FALSE
## 161       FALSE
## 162       FALSE
## 163       FALSE
## 164       FALSE
## 165       FALSE
## 166       FALSE
## 167       FALSE
## 168       FALSE
## 169       FALSE
## 170       FALSE
## 171       FALSE
## 172       FALSE
## 173       FALSE
## 174       FALSE
## 175       FALSE
## 176       FALSE
## 177       FALSE
## 178       FALSE
## 179       FALSE
## 180       FALSE
## 181       FALSE
## 182       FALSE
## 183       FALSE
## 184       FALSE
## 185       FALSE
## 186       FALSE
## 187       FALSE
## 188       FALSE
## 189       FALSE
## 190       FALSE
## 191       FALSE
## 192       FALSE
## 193       FALSE
## 194       FALSE
## 195       FALSE
## 196       FALSE
## 197       FALSE
## 198       FALSE
## 199       FALSE
## 200       FALSE
## 201       FALSE
## 202       FALSE
## 203       FALSE
## 204       FALSE
## 205       FALSE
## 206       FALSE
## 207       FALSE
## 208       FALSE
## 209       FALSE
## 210       FALSE
## 211       FALSE
## 212       FALSE
## 213       FALSE
## 214       FALSE
## 215       FALSE
## 216       FALSE
## 217       FALSE
## 218       FALSE
## 219       FALSE
## 220       FALSE
## 221       FALSE
## 222       FALSE
## 223       FALSE
## 224       FALSE
## 225       FALSE
## 226       FALSE
## 227       FALSE
## 228       FALSE
## 229       FALSE
## 230       FALSE
## 231       FALSE
## 232       FALSE
## 233       FALSE
## 234       FALSE
## 235       FALSE
## 236       FALSE
## 237       FALSE
## 238       FALSE
## 239       FALSE
## 240       FALSE
## 241       FALSE
## 242       FALSE
## 243       FALSE
## 244       FALSE
## 245       FALSE
## 246       FALSE
## 247       FALSE
## 248       FALSE
## 249       FALSE
## 250       FALSE
## 251       FALSE
## 252       FALSE
## 253       FALSE
## 254       FALSE
## 255       FALSE
## 256       FALSE
## 257       FALSE
## 258       FALSE
## 259       FALSE
## 260       FALSE
## 261       FALSE
## 262       FALSE
## 263       FALSE
## 264       FALSE
## 265       FALSE
## 266       FALSE
## 267       FALSE
## 268       FALSE
## 269       FALSE
## 270       FALSE
## 271       FALSE
## 272       FALSE
## 273       FALSE
## 274       FALSE
## 275       FALSE
## 276       FALSE
## 277       FALSE
## 278       FALSE
## 279       FALSE
## 280       FALSE
## 281       FALSE
## 282       FALSE
## 283       FALSE
## 284        TRUE
## 285        TRUE
## 286        TRUE
## 287        TRUE
## 288        TRUE
## 289        TRUE
## 290        TRUE
## 291        TRUE
## 292        TRUE
## 293        TRUE
## 294        TRUE
## 295        TRUE
## 296        TRUE
## 297        TRUE
## 298        TRUE
## 299        TRUE
## 300        TRUE
## 301        TRUE
## 302        TRUE
## 303        TRUE
## 304        TRUE
## 305        TRUE
## 306        TRUE
## 307        TRUE
## 308        TRUE
## 309        TRUE
## 310        TRUE
## 311        TRUE
## 312        TRUE
## 313        TRUE
## 314        TRUE
## 315        TRUE
## 316        TRUE
## 317        TRUE
## 318        TRUE
## 319        TRUE
## 320        TRUE
## 321        TRUE
## 322        TRUE
## 323        TRUE
## 324        TRUE
## 325        TRUE
## 326        TRUE
## 327        TRUE
## 328        TRUE
## 329        TRUE
## 330        TRUE
## 331        TRUE
## 332        TRUE
## 333        TRUE
## 334        TRUE
## 335        TRUE
## 336        TRUE
## 337        TRUE
## 338        TRUE
## 339        TRUE
## 340        TRUE
## 341        TRUE
## 342        TRUE
## 343        TRUE
## 344        TRUE
## 345        TRUE
## 346        TRUE
## 347        TRUE
## 348        TRUE
## 349        TRUE
## 350        TRUE
## 351        TRUE
## 352        TRUE
## 353        TRUE
## 354        TRUE
## 355        TRUE
## 356        TRUE
## 357        TRUE
## 358        TRUE
## 359        TRUE
## 360        TRUE
## 361        TRUE
## 362        TRUE
## 363        TRUE
## 364        TRUE
## 365        TRUE
## 366        TRUE
## 367        TRUE
## 368        TRUE
## 369        TRUE
## 370        TRUE
## 371        TRUE
## 372        TRUE
## 373        TRUE
## 374        TRUE
## 375        TRUE
## 376        TRUE
## 377        TRUE
## 378        TRUE
## 379        TRUE
## 380        TRUE
## 381        TRUE
## 382        TRUE
## 383        TRUE
## 384        TRUE
## 385        TRUE
## 386        TRUE
## 387        TRUE
## 388        TRUE
## 389        TRUE
## 390       FALSE
## 391       FALSE
## 392       FALSE
## 393       FALSE
## 394       FALSE
## 395       FALSE
## 396       FALSE
## 397       FALSE
## 398       FALSE
## 399       FALSE
## 400       FALSE
## 401       FALSE
## 402       FALSE
## 403       FALSE
## 404       FALSE
## 
## ===== AL MENOS UN MÉTODO =====
##      ID Valor  Z_score outlier_Z outlier_IQR Z_robusto outlier_MAD
## 1   284    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 2   285    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 3   286    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 4   287    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 5   288    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 6   289    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 7   290    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 8   291    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 9   292    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 10  293    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 11  294    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 12  295    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 13  296    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 14  297    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 15  298    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 16  299    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 17  300    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 18  301    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 19  302    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 20  303    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 21  304    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 22  305    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 23  306    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 24  307    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 25  308    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 26  309    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 27  310    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 28  311    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 29  312    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 30  313    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 31  314    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 32  315    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 33  316    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 34  317    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 35  318    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 36  319    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 37  320    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 38  321    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 39  322    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 40  323    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 41  324    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 42  325    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 43  326    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 44  327    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 45  328    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 46  329    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 47  330    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 48  331    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 49  332    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 50  333    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 51  334    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 52  335    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 53  336    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 54  337    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 55  338    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 56  339    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 57  340    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 58  341    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 59  342    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 60  343    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 61  344    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 62  345    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 63  346    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 64  347    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 65  348    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 66  349    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 67  350    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 68  351    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 69  352    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 70  353    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 71  354    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 72  355    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 73  356    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 74  357    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 75  358    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 76  359    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 77  360    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 78  361    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 79  362    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 80  363    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 81  364    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 82  365    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 83  366    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 84  367    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 85  368    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 86  369    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 87  370    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 88  371    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 89  372    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 90  373    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 91  374    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 92  375    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 93  376    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 94  377    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 95  378    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 96  379    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 97  380    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 98  381    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 99  382    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 100 383    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 101 384    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 102 385    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 103 386    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 104 387    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 105 388    24 1.652551     FALSE       FALSE  6.407662        TRUE
## 106 389    24 1.652551     FALSE       FALSE  6.407662        TRUE
##     metodos_evaluados numero_metodos
## 1                   3              1
## 2                   3              1
## 3                   3              1
## 4                   3              1
## 5                   3              1
## 6                   3              1
## 7                   3              1
## 8                   3              1
## 9                   3              1
## 10                  3              1
## 11                  3              1
## 12                  3              1
## 13                  3              1
## 14                  3              1
## 15                  3              1
## 16                  3              1
## 17                  3              1
## 18                  3              1
## 19                  3              1
## 20                  3              1
## 21                  3              1
## 22                  3              1
## 23                  3              1
## 24                  3              1
## 25                  3              1
## 26                  3              1
## 27                  3              1
## 28                  3              1
## 29                  3              1
## 30                  3              1
## 31                  3              1
## 32                  3              1
## 33                  3              1
## 34                  3              1
## 35                  3              1
## 36                  3              1
## 37                  3              1
## 38                  3              1
## 39                  3              1
## 40                  3              1
## 41                  3              1
## 42                  3              1
## 43                  3              1
## 44                  3              1
## 45                  3              1
## 46                  3              1
## 47                  3              1
## 48                  3              1
## 49                  3              1
## 50                  3              1
## 51                  3              1
## 52                  3              1
## 53                  3              1
## 54                  3              1
## 55                  3              1
## 56                  3              1
## 57                  3              1
## 58                  3              1
## 59                  3              1
## 60                  3              1
## 61                  3              1
## 62                  3              1
## 63                  3              1
## 64                  3              1
## 65                  3              1
## 66                  3              1
## 67                  3              1
## 68                  3              1
## 69                  3              1
## 70                  3              1
## 71                  3              1
## 72                  3              1
## 73                  3              1
## 74                  3              1
## 75                  3              1
## 76                  3              1
## 77                  3              1
## 78                  3              1
## 79                  3              1
## 80                  3              1
## 81                  3              1
## 82                  3              1
## 83                  3              1
## 84                  3              1
## 85                  3              1
## 86                  3              1
## 87                  3              1
## 88                  3              1
## 89                  3              1
## 90                  3              1
## 91                  3              1
## 92                  3              1
## 93                  3              1
## 94                  3              1
## 95                  3              1
## 96                  3              1
## 97                  3              1
## 98                  3              1
## 99                  3              1
## 100                 3              1
## 101                 3              1
## 102                 3              1
## 103                 3              1
## 104                 3              1
## 105                 3              1
## 106                 3              1
## 
## ===== AL MENOS DOS MÉTODOS =====
## [1] ID                Valor             Z_score           outlier_Z        
## [5] outlier_IQR       Z_robusto         outlier_MAD       metodos_evaluados
## [9] numero_metodos   
## <0 rows> (o 0- extensión row.names)
## 
## ===== LOS TRES MÉTODOS =====
## [1] ID        Valor     Z_score   Z_robusto
## <0 rows> (o 0- extensión row.names)
## 
## ================ RESUMEN ================
##  Variable        Metodo N_evaluados N_outliers Porcentaje
##       rad       Z-score         404          0       0.00
##       rad           IQR         404          0       0.00
##       rad Tukey extremo         404          0       0.00
##       rad           MAD         404        106      26.24
## Warning: No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.

## 
## ================ CLASIFICACIÓN FINAL ================
##      ID Valor  Z_score Z_robusto metodos_evaluados numero_metodos
## 1   284    24 1.652551  6.407662                 3              1
## 2   285    24 1.652551  6.407662                 3              1
## 3   286    24 1.652551  6.407662                 3              1
## 4   287    24 1.652551  6.407662                 3              1
## 5   288    24 1.652551  6.407662                 3              1
## 6   289    24 1.652551  6.407662                 3              1
## 7   290    24 1.652551  6.407662                 3              1
## 8   291    24 1.652551  6.407662                 3              1
## 9   292    24 1.652551  6.407662                 3              1
## 10  293    24 1.652551  6.407662                 3              1
## 11  294    24 1.652551  6.407662                 3              1
## 12  295    24 1.652551  6.407662                 3              1
## 13  296    24 1.652551  6.407662                 3              1
## 14  297    24 1.652551  6.407662                 3              1
## 15  298    24 1.652551  6.407662                 3              1
## 16  299    24 1.652551  6.407662                 3              1
## 17  300    24 1.652551  6.407662                 3              1
## 18  301    24 1.652551  6.407662                 3              1
## 19  302    24 1.652551  6.407662                 3              1
## 20  303    24 1.652551  6.407662                 3              1
## 21  304    24 1.652551  6.407662                 3              1
## 22  305    24 1.652551  6.407662                 3              1
## 23  306    24 1.652551  6.407662                 3              1
## 24  307    24 1.652551  6.407662                 3              1
## 25  308    24 1.652551  6.407662                 3              1
## 26  309    24 1.652551  6.407662                 3              1
## 27  310    24 1.652551  6.407662                 3              1
## 28  311    24 1.652551  6.407662                 3              1
## 29  312    24 1.652551  6.407662                 3              1
## 30  313    24 1.652551  6.407662                 3              1
## 31  314    24 1.652551  6.407662                 3              1
## 32  315    24 1.652551  6.407662                 3              1
## 33  316    24 1.652551  6.407662                 3              1
## 34  317    24 1.652551  6.407662                 3              1
## 35  318    24 1.652551  6.407662                 3              1
## 36  319    24 1.652551  6.407662                 3              1
## 37  320    24 1.652551  6.407662                 3              1
## 38  321    24 1.652551  6.407662                 3              1
## 39  322    24 1.652551  6.407662                 3              1
## 40  323    24 1.652551  6.407662                 3              1
## 41  324    24 1.652551  6.407662                 3              1
## 42  325    24 1.652551  6.407662                 3              1
## 43  326    24 1.652551  6.407662                 3              1
## 44  327    24 1.652551  6.407662                 3              1
## 45  328    24 1.652551  6.407662                 3              1
## 46  329    24 1.652551  6.407662                 3              1
## 47  330    24 1.652551  6.407662                 3              1
## 48  331    24 1.652551  6.407662                 3              1
## 49  332    24 1.652551  6.407662                 3              1
## 50  333    24 1.652551  6.407662                 3              1
## 51  334    24 1.652551  6.407662                 3              1
## 52  335    24 1.652551  6.407662                 3              1
## 53  336    24 1.652551  6.407662                 3              1
## 54  337    24 1.652551  6.407662                 3              1
## 55  338    24 1.652551  6.407662                 3              1
## 56  339    24 1.652551  6.407662                 3              1
## 57  340    24 1.652551  6.407662                 3              1
## 58  341    24 1.652551  6.407662                 3              1
## 59  342    24 1.652551  6.407662                 3              1
## 60  343    24 1.652551  6.407662                 3              1
## 61  344    24 1.652551  6.407662                 3              1
## 62  345    24 1.652551  6.407662                 3              1
## 63  346    24 1.652551  6.407662                 3              1
## 64  347    24 1.652551  6.407662                 3              1
## 65  348    24 1.652551  6.407662                 3              1
## 66  349    24 1.652551  6.407662                 3              1
## 67  350    24 1.652551  6.407662                 3              1
## 68  351    24 1.652551  6.407662                 3              1
## 69  352    24 1.652551  6.407662                 3              1
## 70  353    24 1.652551  6.407662                 3              1
## 71  354    24 1.652551  6.407662                 3              1
## 72  355    24 1.652551  6.407662                 3              1
## 73  356    24 1.652551  6.407662                 3              1
## 74  357    24 1.652551  6.407662                 3              1
## 75  358    24 1.652551  6.407662                 3              1
## 76  359    24 1.652551  6.407662                 3              1
## 77  360    24 1.652551  6.407662                 3              1
## 78  361    24 1.652551  6.407662                 3              1
## 79  362    24 1.652551  6.407662                 3              1
## 80  363    24 1.652551  6.407662                 3              1
## 81  364    24 1.652551  6.407662                 3              1
## 82  365    24 1.652551  6.407662                 3              1
## 83  366    24 1.652551  6.407662                 3              1
## 84  367    24 1.652551  6.407662                 3              1
## 85  368    24 1.652551  6.407662                 3              1
## 86  369    24 1.652551  6.407662                 3              1
## 87  370    24 1.652551  6.407662                 3              1
## 88  371    24 1.652551  6.407662                 3              1
## 89  372    24 1.652551  6.407662                 3              1
## 90  373    24 1.652551  6.407662                 3              1
## 91  374    24 1.652551  6.407662                 3              1
## 92  375    24 1.652551  6.407662                 3              1
## 93  376    24 1.652551  6.407662                 3              1
## 94  377    24 1.652551  6.407662                 3              1
## 95  378    24 1.652551  6.407662                 3              1
## 96  379    24 1.652551  6.407662                 3              1
## 97  380    24 1.652551  6.407662                 3              1
## 98  381    24 1.652551  6.407662                 3              1
## 99  382    24 1.652551  6.407662                 3              1
## 100 383    24 1.652551  6.407662                 3              1
## 101 384    24 1.652551  6.407662                 3              1
## 102 385    24 1.652551  6.407662                 3              1
## 103 386    24 1.652551  6.407662                 3              1
## 104 387    24 1.652551  6.407662                 3              1
## 105 388    24 1.652551  6.407662                 3              1
## 106 389    24 1.652551  6.407662                 3              1
##              clasificacion
## 1   Outlier según 1 método
## 2   Outlier según 1 método
## 3   Outlier según 1 método
## 4   Outlier según 1 método
## 5   Outlier según 1 método
## 6   Outlier según 1 método
## 7   Outlier según 1 método
## 8   Outlier según 1 método
## 9   Outlier según 1 método
## 10  Outlier según 1 método
## 11  Outlier según 1 método
## 12  Outlier según 1 método
## 13  Outlier según 1 método
## 14  Outlier según 1 método
## 15  Outlier según 1 método
## 16  Outlier según 1 método
## 17  Outlier según 1 método
## 18  Outlier según 1 método
## 19  Outlier según 1 método
## 20  Outlier según 1 método
## 21  Outlier según 1 método
## 22  Outlier según 1 método
## 23  Outlier según 1 método
## 24  Outlier según 1 método
## 25  Outlier según 1 método
## 26  Outlier según 1 método
## 27  Outlier según 1 método
## 28  Outlier según 1 método
## 29  Outlier según 1 método
## 30  Outlier según 1 método
## 31  Outlier según 1 método
## 32  Outlier según 1 método
## 33  Outlier según 1 método
## 34  Outlier según 1 método
## 35  Outlier según 1 método
## 36  Outlier según 1 método
## 37  Outlier según 1 método
## 38  Outlier según 1 método
## 39  Outlier según 1 método
## 40  Outlier según 1 método
## 41  Outlier según 1 método
## 42  Outlier según 1 método
## 43  Outlier según 1 método
## 44  Outlier según 1 método
## 45  Outlier según 1 método
## 46  Outlier según 1 método
## 47  Outlier según 1 método
## 48  Outlier según 1 método
## 49  Outlier según 1 método
## 50  Outlier según 1 método
## 51  Outlier según 1 método
## 52  Outlier según 1 método
## 53  Outlier según 1 método
## 54  Outlier según 1 método
## 55  Outlier según 1 método
## 56  Outlier según 1 método
## 57  Outlier según 1 método
## 58  Outlier según 1 método
## 59  Outlier según 1 método
## 60  Outlier según 1 método
## 61  Outlier según 1 método
## 62  Outlier según 1 método
## 63  Outlier según 1 método
## 64  Outlier según 1 método
## 65  Outlier según 1 método
## 66  Outlier según 1 método
## 67  Outlier según 1 método
## 68  Outlier según 1 método
## 69  Outlier según 1 método
## 70  Outlier según 1 método
## 71  Outlier según 1 método
## 72  Outlier según 1 método
## 73  Outlier según 1 método
## 74  Outlier según 1 método
## 75  Outlier según 1 método
## 76  Outlier según 1 método
## 77  Outlier según 1 método
## 78  Outlier según 1 método
## 79  Outlier según 1 método
## 80  Outlier según 1 método
## 81  Outlier según 1 método
## 82  Outlier según 1 método
## 83  Outlier según 1 método
## 84  Outlier según 1 método
## 85  Outlier según 1 método
## 86  Outlier según 1 método
## 87  Outlier según 1 método
## 88  Outlier según 1 método
## 89  Outlier según 1 método
## 90  Outlier según 1 método
## 91  Outlier según 1 método
## 92  Outlier según 1 método
## 93  Outlier según 1 método
## 94  Outlier según 1 método
## 95  Outlier según 1 método
## 96  Outlier según 1 método
## 97  Outlier según 1 método
## 98  Outlier según 1 método
## 99  Outlier según 1 método
## 100 Outlier según 1 método
## 101 Outlier según 1 método
## 102 Outlier según 1 método
## 103 Outlier según 1 método
## 104 Outlier según 1 método
## 105 Outlier según 1 método
## 106 Outlier según 1 método
## 
## ========================================
##  VARIABLE: tax 
## ========================================
## 
## ================ MÉTODO Z ================
## Límite inferior = -90.13602 
## Límite superior = 916.5271 
## Número de outliers = 0 
## [1] ID      Valor   Z_score
## <0 rows> (o 0- extensión row.names)
## 
## ================ MÉTODO IQR ================
## Q1 = 284 
## Q3 = 666 
## IQR = 382 
## Límite inferior = -289 
## Límite superior = 1239 
## Número de outliers = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## =========== OUTLIERS EXTREMOS TUKEY ===========
## Límite inferior = -862 
## Límite superior = 1812 
## Número de outliers extremos = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## ================ MÉTODO MAD ================
## Mediana = 346.5 
## MAD = 79 
## MAD ajustada = 117.1254 
## Número de outliers = 0 
## [1] ID        Valor     Z_robusto
## <0 rows> (o 0- extensión row.names)
## 
## ================ COMPARACIÓN ================
##      ID Valor     Z_score outlier_Z outlier_IQR outlier_extremo   Z_robusto
## 1     1   296 -0.69851894     FALSE       FALSE           FALSE -0.43116181
## 2     2   242 -1.02037438     FALSE       FALSE           FALSE -0.89220613
## 3     3   242 -1.02037438     FALSE       FALSE           FALSE -0.89220613
## 4     4   222 -1.13958010     FALSE       FALSE           FALSE -1.06296329
## 5     5   222 -1.13958010     FALSE       FALSE           FALSE -1.06296329
## 6     6   311 -0.60911466     FALSE       FALSE           FALSE -0.30309395
## 7     7   311 -0.60911466     FALSE       FALSE           FALSE -0.30309395
## 8     8   311 -0.60911466     FALSE       FALSE           FALSE -0.30309395
## 9     9   311 -0.60911466     FALSE       FALSE           FALSE -0.30309395
## 10   10   311 -0.60911466     FALSE       FALSE           FALSE -0.30309395
## 11   11   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 12   12   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 13   13   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 14   14   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 15   15   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 16   16   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 17   17   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 18   18   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 19   19   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 20   20   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 21   21   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 22   22   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 23   23   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 24   24   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 25   25   279 -0.79984380     FALSE       FALSE           FALSE -0.57630540
## 26   26   279 -0.79984380     FALSE       FALSE           FALSE -0.57630540
## 27   27   279 -0.79984380     FALSE       FALSE           FALSE -0.57630540
## 28   28   233 -1.07401695     FALSE       FALSE           FALSE -0.96904685
## 29   29   233 -1.07401695     FALSE       FALSE           FALSE -0.96904685
## 30   30   233 -1.07401695     FALSE       FALSE           FALSE -0.96904685
## 31   31   233 -1.07401695     FALSE       FALSE           FALSE -0.96904685
## 32   32   233 -1.07401695     FALSE       FALSE           FALSE -0.96904685
## 33   33   243 -1.01441409     FALSE       FALSE           FALSE -0.88366827
## 34   34   469  0.33261051     FALSE       FALSE           FALSE  1.04588757
## 35   35   226 -1.11573895     FALSE       FALSE           FALSE -1.02881185
## 36   36   313 -0.59719408     FALSE       FALSE           FALSE -0.28601823
## 37   37   256 -0.93693038     FALSE       FALSE           FALSE -0.77267612
## 38   38   284 -0.77004237     FALSE       FALSE           FALSE -0.53361611
## 39   39   284 -0.77004237     FALSE       FALSE           FALSE -0.53361611
## 40   40   284 -0.77004237     FALSE       FALSE           FALSE -0.53361611
## 41   41   216 -1.17534181     FALSE       FALSE           FALSE -1.11419043
## 42   42   337 -0.45414722     FALSE       FALSE           FALSE -0.08110965
## 43   43   337 -0.45414722     FALSE       FALSE           FALSE -0.08110965
## 44   44   345 -0.40646494     FALSE       FALSE           FALSE -0.01280679
## 45   45   345 -0.40646494     FALSE       FALSE           FALSE -0.01280679
## 46   46   305 -0.64487637     FALSE       FALSE           FALSE -0.35432110
## 47   47   305 -0.64487637     FALSE       FALSE           FALSE -0.35432110
## 48   48   305 -0.64487637     FALSE       FALSE           FALSE -0.35432110
## 49   49   398 -0.09056979     FALSE       FALSE           FALSE  0.43969967
## 50   50   398 -0.09056979     FALSE       FALSE           FALSE  0.43969967
## 51   51   398 -0.09056979     FALSE       FALSE           FALSE  0.43969967
## 52   52   398 -0.09056979     FALSE       FALSE           FALSE  0.43969967
## 53   53   398 -0.09056979     FALSE       FALSE           FALSE  0.43969967
## 54   54   281 -0.78792323     FALSE       FALSE           FALSE -0.55922968
## 55   55   281 -0.78792323     FALSE       FALSE           FALSE -0.55922968
## 56   56   281 -0.78792323     FALSE       FALSE           FALSE -0.55922968
## 57   57   247 -0.99057295     FALSE       FALSE           FALSE -0.84951684
## 58   58   247 -0.99057295     FALSE       FALSE           FALSE -0.84951684
## 59   59   247 -0.99057295     FALSE       FALSE           FALSE -0.84951684
## 60   60   247 -0.99057295     FALSE       FALSE           FALSE -0.84951684
## 61   61   270 -0.85348638     FALSE       FALSE           FALSE -0.65314612
## 62   62   270 -0.85348638     FALSE       FALSE           FALSE -0.65314612
## 63   63   270 -0.85348638     FALSE       FALSE           FALSE -0.65314612
## 64   64   270 -0.85348638     FALSE       FALSE           FALSE -0.65314612
## 65   65   270 -0.85348638     FALSE       FALSE           FALSE -0.65314612
## 66   66   270 -0.85348638     FALSE       FALSE           FALSE -0.65314612
## 67   67   270 -0.85348638     FALSE       FALSE           FALSE -0.65314612
## 68   68   276 -0.81772466     FALSE       FALSE           FALSE -0.60191897
## 69   69   276 -0.81772466     FALSE       FALSE           FALSE -0.60191897
## 70   70   276 -0.81772466     FALSE       FALSE           FALSE -0.60191897
## 71   71   276 -0.81772466     FALSE       FALSE           FALSE -0.60191897
## 72   72   276 -0.81772466     FALSE       FALSE           FALSE -0.60191897
## 73   73   384 -0.17401379     FALSE       FALSE           FALSE  0.32016966
## 74   74   384 -0.17401379     FALSE       FALSE           FALSE  0.32016966
## 75   75   384 -0.17401379     FALSE       FALSE           FALSE  0.32016966
## 76   76   384 -0.17401379     FALSE       FALSE           FALSE  0.32016966
## 77   77   384 -0.17401379     FALSE       FALSE           FALSE  0.32016966
## 78   78   384 -0.17401379     FALSE       FALSE           FALSE  0.32016966
## 79   79   384 -0.17401379     FALSE       FALSE           FALSE  0.32016966
## 80   80   384 -0.17401379     FALSE       FALSE           FALSE  0.32016966
## 81   81   432  0.11207993     FALSE       FALSE           FALSE  0.72998683
## 82   82   432  0.11207993     FALSE       FALSE           FALSE  0.72998683
## 83   83   432  0.11207993     FALSE       FALSE           FALSE  0.72998683
## 84   84   432  0.11207993     FALSE       FALSE           FALSE  0.72998683
## 85   85   432  0.11207993     FALSE       FALSE           FALSE  0.72998683
## 86   86   432  0.11207993     FALSE       FALSE           FALSE  0.72998683
## 87   87   432  0.11207993     FALSE       FALSE           FALSE  0.72998683
## 88   88   432  0.11207993     FALSE       FALSE           FALSE  0.72998683
## 89   89   188 -1.34222981     FALSE       FALSE           FALSE -1.35325045
## 90   90   188 -1.34222981     FALSE       FALSE           FALSE -1.35325045
## 91   91   188 -1.34222981     FALSE       FALSE           FALSE -1.35325045
## 92   92   188 -1.34222981     FALSE       FALSE           FALSE -1.35325045
## 93   93   188 -1.34222981     FALSE       FALSE           FALSE -1.35325045
## 94   94   188 -1.34222981     FALSE       FALSE           FALSE -1.35325045
## 95   95   437  0.14188136     FALSE       FALSE           FALSE  0.77267612
## 96   96   437  0.14188136     FALSE       FALSE           FALSE  0.77267612
## 97   97   437  0.14188136     FALSE       FALSE           FALSE  0.77267612
## 98   98   437  0.14188136     FALSE       FALSE           FALSE  0.77267612
## 99   99   437  0.14188136     FALSE       FALSE           FALSE  0.77267612
## 100 100   437  0.14188136     FALSE       FALSE           FALSE  0.77267612
## 101 101   437  0.14188136     FALSE       FALSE           FALSE  0.77267612
## 102 102   437  0.14188136     FALSE       FALSE           FALSE  0.77267612
## 103 103   437  0.14188136     FALSE       FALSE           FALSE  0.77267612
## 104 104   437  0.14188136     FALSE       FALSE           FALSE  0.77267612
## 105 105   437  0.14188136     FALSE       FALSE           FALSE  0.77267612
## 106 106   437  0.14188136     FALSE       FALSE           FALSE  0.77267612
## 107 107   437  0.14188136     FALSE       FALSE           FALSE  0.77267612
## 108 108   437  0.14188136     FALSE       FALSE           FALSE  0.77267612
## 109 109   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 110 110   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 111 111   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 112 112   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 113 113   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 114 114   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 115 115   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 116 116   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 117 117   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 118 118   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 119 119   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 120 120   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 121 121   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 122 122   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 123 123   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 124 124   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 125 125   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 126 126   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 127 127   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 128 128   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 129 129   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 130 130   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 131 131   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 132 132   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 133 133   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 134 134   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 135 135   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 136 136   403 -0.06076836     FALSE       FALSE           FALSE  0.48238896
## 137 137   296 -0.69851894     FALSE       FALSE           FALSE -0.43116181
## 138 138   296 -0.69851894     FALSE       FALSE           FALSE -0.43116181
## 139 139   296 -0.69851894     FALSE       FALSE           FALSE -0.43116181
## 140 140   296 -0.69851894     FALSE       FALSE           FALSE -0.43116181
## 141 141   296 -0.69851894     FALSE       FALSE           FALSE -0.43116181
## 142 142   296 -0.69851894     FALSE       FALSE           FALSE -0.43116181
## 143 143   193 -1.31242838     FALSE       FALSE           FALSE -1.31056116
## 144 144   193 -1.31242838     FALSE       FALSE           FALSE -1.31056116
## 145 145   193 -1.31242838     FALSE       FALSE           FALSE -1.31056116
## 146 146   193 -1.31242838     FALSE       FALSE           FALSE -1.31056116
## 147 147   193 -1.31242838     FALSE       FALSE           FALSE -1.31056116
## 148 148   398 -0.09056979     FALSE       FALSE           FALSE  0.43969967
## 149 149   398 -0.09056979     FALSE       FALSE           FALSE  0.43969967
## 150 150   398 -0.09056979     FALSE       FALSE           FALSE  0.43969967
## 151 151   398 -0.09056979     FALSE       FALSE           FALSE  0.43969967
## 152 152   398 -0.09056979     FALSE       FALSE           FALSE  0.43969967
## 153 153   398 -0.09056979     FALSE       FALSE           FALSE  0.43969967
## 154 154   265 -0.88328780     FALSE       FALSE           FALSE -0.69583540
## 155 155   265 -0.88328780     FALSE       FALSE           FALSE -0.69583540
## 156 156   255 -0.94289066     FALSE       FALSE           FALSE -0.78121398
## 157 157   329 -0.50182951     FALSE       FALSE           FALSE -0.14941251
## 158 158   329 -0.50182951     FALSE       FALSE           FALSE -0.14941251
## 159 159   329 -0.50182951     FALSE       FALSE           FALSE -0.14941251
## 160 160   402 -0.06672865     FALSE       FALSE           FALSE  0.47385110
## 161 161   402 -0.06672865     FALSE       FALSE           FALSE  0.47385110
## 162 162   348 -0.38858408     FALSE       FALSE           FALSE  0.01280679
## 163 163   348 -0.38858408     FALSE       FALSE           FALSE  0.01280679
## 164 164   224 -1.12765952     FALSE       FALSE           FALSE -1.04588757
## 165 165   277 -0.81176437     FALSE       FALSE           FALSE -0.59338111
## 166 166   277 -0.81176437     FALSE       FALSE           FALSE -0.59338111
## 167 167   277 -0.81176437     FALSE       FALSE           FALSE -0.59338111
## 168 168   277 -0.81176437     FALSE       FALSE           FALSE -0.59338111
## 169 169   277 -0.81176437     FALSE       FALSE           FALSE -0.59338111
## 170 170   277 -0.81176437     FALSE       FALSE           FALSE -0.59338111
## 171 171   277 -0.81176437     FALSE       FALSE           FALSE -0.59338111
## 172 172   277 -0.81176437     FALSE       FALSE           FALSE -0.59338111
## 173 173   276 -0.81772466     FALSE       FALSE           FALSE -0.60191897
## 174 174   276 -0.81772466     FALSE       FALSE           FALSE -0.60191897
## 175 175   276 -0.81772466     FALSE       FALSE           FALSE -0.60191897
## 176 176   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 177 177   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 178 178   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 179 179   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 180 180   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 181 181   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 182 182   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 183 183   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 184 184   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 185 185   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 186 186   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 187 187   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 188 188   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 189 189   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 190 190   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 191 191   307 -0.63295580     FALSE       FALSE           FALSE -0.33724538
## 192 192   300 -0.67467780     FALSE       FALSE           FALSE -0.39701038
## 193 193   300 -0.67467780     FALSE       FALSE           FALSE -0.39701038
## 194 194   300 -0.67467780     FALSE       FALSE           FALSE -0.39701038
## 195 195   300 -0.67467780     FALSE       FALSE           FALSE -0.39701038
## 196 196   300 -0.67467780     FALSE       FALSE           FALSE -0.39701038
## 197 197   330 -0.49586923     FALSE       FALSE           FALSE -0.14087465
## 198 198   330 -0.49586923     FALSE       FALSE           FALSE -0.14087465
## 199 199   330 -0.49586923     FALSE       FALSE           FALSE -0.14087465
## 200 200   330 -0.49586923     FALSE       FALSE           FALSE -0.14087465
## 201 201   330 -0.49586923     FALSE       FALSE           FALSE -0.14087465
## 202 202   330 -0.49586923     FALSE       FALSE           FALSE -0.14087465
## 203 203   330 -0.49586923     FALSE       FALSE           FALSE -0.14087465
## 204 204   315 -0.58527351     FALSE       FALSE           FALSE -0.26894252
## 205 205   315 -0.58527351     FALSE       FALSE           FALSE -0.26894252
## 206 206   244 -1.00845381     FALSE       FALSE           FALSE -0.87513042
## 207 207   264 -0.88924809     FALSE       FALSE           FALSE -0.70437326
## 208 208   264 -0.88924809     FALSE       FALSE           FALSE -0.70437326
## 209 209   264 -0.88924809     FALSE       FALSE           FALSE -0.70437326
## 210 210   264 -0.88924809     FALSE       FALSE           FALSE -0.70437326
## 211 211   264 -0.88924809     FALSE       FALSE           FALSE -0.70437326
## 212 212   264 -0.88924809     FALSE       FALSE           FALSE -0.70437326
## 213 213   264 -0.88924809     FALSE       FALSE           FALSE -0.70437326
## 214 214   223 -1.13361981     FALSE       FALSE           FALSE -1.05442543
## 215 215   223 -1.13361981     FALSE       FALSE           FALSE -1.05442543
## 216 216   223 -1.13361981     FALSE       FALSE           FALSE -1.05442543
## 217 217   223 -1.13361981     FALSE       FALSE           FALSE -1.05442543
## 218 218   254 -0.94885095     FALSE       FALSE           FALSE -0.78975184
## 219 219   254 -0.94885095     FALSE       FALSE           FALSE -0.78975184
## 220 220   254 -0.94885095     FALSE       FALSE           FALSE -0.78975184
## 221 221   216 -1.17534181     FALSE       FALSE           FALSE -1.11419043
## 222 222   216 -1.17534181     FALSE       FALSE           FALSE -1.11419043
## 223 223   216 -1.17534181     FALSE       FALSE           FALSE -1.11419043
## 224 224   198 -1.28262696     FALSE       FALSE           FALSE -1.26787187
## 225 225   285 -0.76408209     FALSE       FALSE           FALSE -0.52507825
## 226 226   300 -0.67467780     FALSE       FALSE           FALSE -0.39701038
## 227 227   241 -1.02633466     FALSE       FALSE           FALSE -0.90074399
## 228 228   293 -0.71639980     FALSE       FALSE           FALSE -0.45677539
## 229 229   293 -0.71639980     FALSE       FALSE           FALSE -0.45677539
## 230 230   293 -0.71639980     FALSE       FALSE           FALSE -0.45677539
## 231 231   245 -1.00249352     FALSE       FALSE           FALSE -0.86659256
## 232 232   245 -1.00249352     FALSE       FALSE           FALSE -0.86659256
## 233 233   245 -1.00249352     FALSE       FALSE           FALSE -0.86659256
## 234 234   289 -0.74024094     FALSE       FALSE           FALSE -0.49092682
## 235 235   289 -0.74024094     FALSE       FALSE           FALSE -0.49092682
## 236 236   289 -0.74024094     FALSE       FALSE           FALSE -0.49092682
## 237 237   358 -0.32898122     FALSE       FALSE           FALSE  0.09818536
## 238 238   329 -0.50182951     FALSE       FALSE           FALSE -0.14941251
## 239 239   329 -0.50182951     FALSE       FALSE           FALSE -0.14941251
## 240 240   222 -1.13958010     FALSE       FALSE           FALSE -1.06296329
## 241 241   222 -1.13958010     FALSE       FALSE           FALSE -1.06296329
## 242 242   304 -0.65083666     FALSE       FALSE           FALSE -0.36285895
## 243 243   304 -0.65083666     FALSE       FALSE           FALSE -0.36285895
## 244 244   304 -0.65083666     FALSE       FALSE           FALSE -0.36285895
## 245 245   304 -0.65083666     FALSE       FALSE           FALSE -0.36285895
## 246 246   304 -0.65083666     FALSE       FALSE           FALSE -0.36285895
## 247 247   304 -0.65083666     FALSE       FALSE           FALSE -0.36285895
## 248 248   304 -0.65083666     FALSE       FALSE           FALSE -0.36285895
## 249 249   304 -0.65083666     FALSE       FALSE           FALSE -0.36285895
## 250 250   304 -0.65083666     FALSE       FALSE           FALSE -0.36285895
## 251 251   304 -0.65083666     FALSE       FALSE           FALSE -0.36285895
## 252 252   287 -0.75216152     FALSE       FALSE           FALSE -0.50800253
## 253 253   287 -0.75216152     FALSE       FALSE           FALSE -0.50800253
## 254 254   287 -0.75216152     FALSE       FALSE           FALSE -0.50800253
## 255 255   287 -0.75216152     FALSE       FALSE           FALSE -0.50800253
## 256 256   287 -0.75216152     FALSE       FALSE           FALSE -0.50800253
## 257 257   287 -0.75216152     FALSE       FALSE           FALSE -0.50800253
## 258 258   287 -0.75216152     FALSE       FALSE           FALSE -0.50800253
## 259 259   287 -0.75216152     FALSE       FALSE           FALSE -0.50800253
## 260 260   430  0.10015936     FALSE       FALSE           FALSE  0.71291112
## 261 261   430  0.10015936     FALSE       FALSE           FALSE  0.71291112
## 262 262   430  0.10015936     FALSE       FALSE           FALSE  0.71291112
## 263 263   304 -0.65083666     FALSE       FALSE           FALSE -0.36285895
## 264 264   224 -1.12765952     FALSE       FALSE           FALSE -1.04588757
## 265 265   224 -1.12765952     FALSE       FALSE           FALSE -1.04588757
## 266 266   224 -1.12765952     FALSE       FALSE           FALSE -1.04588757
## 267 267   224 -1.12765952     FALSE       FALSE           FALSE -1.04588757
## 268 268   224 -1.12765952     FALSE       FALSE           FALSE -1.04588757
## 269 269   224 -1.12765952     FALSE       FALSE           FALSE -1.04588757
## 270 270   224 -1.12765952     FALSE       FALSE           FALSE -1.04588757
## 271 271   284 -0.77004237     FALSE       FALSE           FALSE -0.53361611
## 272 272   422  0.05247707     FALSE       FALSE           FALSE  0.64460826
## 273 273   370 -0.25745779     FALSE       FALSE           FALSE  0.20063966
## 274 274   370 -0.25745779     FALSE       FALSE           FALSE  0.20063966
## 275 275   352 -0.36474294     FALSE       FALSE           FALSE  0.04695822
## 276 276   352 -0.36474294     FALSE       FALSE           FALSE  0.04695822
## 277 277   351 -0.37070322     FALSE       FALSE           FALSE  0.03842036
## 278 278   280 -0.79388352     FALSE       FALSE           FALSE -0.56776754
## 279 279   335 -0.46606780     FALSE       FALSE           FALSE -0.09818536
## 280 280   411 -0.01308607     FALSE       FALSE           FALSE  0.55069182
## 281 281   187 -1.34819010     FALSE       FALSE           FALSE -1.36178831
## 282 282   334 -0.47202808     FALSE       FALSE           FALSE -0.10672322
## 283 283   334 -0.47202808     FALSE       FALSE           FALSE -0.10672322
## 284 284   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 285 285   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 286 286   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 287 287   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 288 288   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 289 289   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 290 290   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 291 291   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 292 292   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 293 293   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 294 294   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 295 295   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 296 296   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 297 297   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 298 298   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 299 299   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 300 300   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 301 301   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 302 302   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 303 303   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 304 304   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 305 305   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 306 306   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 307 307   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 308 308   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 309 309   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 310 310   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 311 311   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 312 312   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 313 313   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 314 314   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 315 315   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 316 316   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 317 317   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 318 318   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 319 319   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 320 320   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 321 321   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 322 322   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 323 323   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 324 324   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 325 325   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 326 326   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 327 327   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 328 328   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 329 329   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 330 330   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 331 331   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 332 332   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 333 333   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 334 334   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 335 335   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 336 336   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 337 337   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 338 338   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 339 339   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 340 340   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 341 341   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 342 342   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 343 343   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 344 344   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 345 345   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 346 346   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 347 347   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 348 348   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 349 349   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 350 350   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 351 351   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 352 352   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 353 353   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 354 354   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 355 355   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 356 356   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 357 357   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 358 358   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 359 359   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 360 360   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 361 361   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 362 362   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 363 363   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 364 364   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 365 365   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 366 366   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 367 367   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 368 368   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 369 369   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 370 370   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 371 371   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 372 372   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 373 373   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 374 374   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 375 375   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 376 376   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 377 377   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 378 378   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 379 379   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 380 380   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 381 381   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 382 382   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 383 383   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 384 384   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 385 385   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 386 386   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 387 387   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 388 388   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 389 389   666  1.50678681     FALSE       FALSE           FALSE  2.72784554
## 390 390   711  1.77499968     FALSE       FALSE           FALSE  3.11204914
## 391 391   711  1.77499968     FALSE       FALSE           FALSE  3.11204914
## 392 392   711  1.77499968     FALSE       FALSE           FALSE  3.11204914
## 393 393   711  1.77499968     FALSE       FALSE           FALSE  3.11204914
## 394 394   711  1.77499968     FALSE       FALSE           FALSE  3.11204914
## 395 395   391 -0.13229179     FALSE       FALSE           FALSE  0.37993467
## 396 396   391 -0.13229179     FALSE       FALSE           FALSE  0.37993467
## 397 397   391 -0.13229179     FALSE       FALSE           FALSE  0.37993467
## 398 398   391 -0.13229179     FALSE       FALSE           FALSE  0.37993467
## 399 399   391 -0.13229179     FALSE       FALSE           FALSE  0.37993467
## 400 400   391 -0.13229179     FALSE       FALSE           FALSE  0.37993467
## 401 401   273 -0.83560552     FALSE       FALSE           FALSE -0.62753254
## 402 402   273 -0.83560552     FALSE       FALSE           FALSE -0.62753254
## 403 403   273 -0.83560552     FALSE       FALSE           FALSE -0.62753254
## 404 404   273 -0.83560552     FALSE       FALSE           FALSE -0.62753254
##     outlier_MAD
## 1         FALSE
## 2         FALSE
## 3         FALSE
## 4         FALSE
## 5         FALSE
## 6         FALSE
## 7         FALSE
## 8         FALSE
## 9         FALSE
## 10        FALSE
## 11        FALSE
## 12        FALSE
## 13        FALSE
## 14        FALSE
## 15        FALSE
## 16        FALSE
## 17        FALSE
## 18        FALSE
## 19        FALSE
## 20        FALSE
## 21        FALSE
## 22        FALSE
## 23        FALSE
## 24        FALSE
## 25        FALSE
## 26        FALSE
## 27        FALSE
## 28        FALSE
## 29        FALSE
## 30        FALSE
## 31        FALSE
## 32        FALSE
## 33        FALSE
## 34        FALSE
## 35        FALSE
## 36        FALSE
## 37        FALSE
## 38        FALSE
## 39        FALSE
## 40        FALSE
## 41        FALSE
## 42        FALSE
## 43        FALSE
## 44        FALSE
## 45        FALSE
## 46        FALSE
## 47        FALSE
## 48        FALSE
## 49        FALSE
## 50        FALSE
## 51        FALSE
## 52        FALSE
## 53        FALSE
## 54        FALSE
## 55        FALSE
## 56        FALSE
## 57        FALSE
## 58        FALSE
## 59        FALSE
## 60        FALSE
## 61        FALSE
## 62        FALSE
## 63        FALSE
## 64        FALSE
## 65        FALSE
## 66        FALSE
## 67        FALSE
## 68        FALSE
## 69        FALSE
## 70        FALSE
## 71        FALSE
## 72        FALSE
## 73        FALSE
## 74        FALSE
## 75        FALSE
## 76        FALSE
## 77        FALSE
## 78        FALSE
## 79        FALSE
## 80        FALSE
## 81        FALSE
## 82        FALSE
## 83        FALSE
## 84        FALSE
## 85        FALSE
## 86        FALSE
## 87        FALSE
## 88        FALSE
## 89        FALSE
## 90        FALSE
## 91        FALSE
## 92        FALSE
## 93        FALSE
## 94        FALSE
## 95        FALSE
## 96        FALSE
## 97        FALSE
## 98        FALSE
## 99        FALSE
## 100       FALSE
## 101       FALSE
## 102       FALSE
## 103       FALSE
## 104       FALSE
## 105       FALSE
## 106       FALSE
## 107       FALSE
## 108       FALSE
## 109       FALSE
## 110       FALSE
## 111       FALSE
## 112       FALSE
## 113       FALSE
## 114       FALSE
## 115       FALSE
## 116       FALSE
## 117       FALSE
## 118       FALSE
## 119       FALSE
## 120       FALSE
## 121       FALSE
## 122       FALSE
## 123       FALSE
## 124       FALSE
## 125       FALSE
## 126       FALSE
## 127       FALSE
## 128       FALSE
## 129       FALSE
## 130       FALSE
## 131       FALSE
## 132       FALSE
## 133       FALSE
## 134       FALSE
## 135       FALSE
## 136       FALSE
## 137       FALSE
## 138       FALSE
## 139       FALSE
## 140       FALSE
## 141       FALSE
## 142       FALSE
## 143       FALSE
## 144       FALSE
## 145       FALSE
## 146       FALSE
## 147       FALSE
## 148       FALSE
## 149       FALSE
## 150       FALSE
## 151       FALSE
## 152       FALSE
## 153       FALSE
## 154       FALSE
## 155       FALSE
## 156       FALSE
## 157       FALSE
## 158       FALSE
## 159       FALSE
## 160       FALSE
## 161       FALSE
## 162       FALSE
## 163       FALSE
## 164       FALSE
## 165       FALSE
## 166       FALSE
## 167       FALSE
## 168       FALSE
## 169       FALSE
## 170       FALSE
## 171       FALSE
## 172       FALSE
## 173       FALSE
## 174       FALSE
## 175       FALSE
## 176       FALSE
## 177       FALSE
## 178       FALSE
## 179       FALSE
## 180       FALSE
## 181       FALSE
## 182       FALSE
## 183       FALSE
## 184       FALSE
## 185       FALSE
## 186       FALSE
## 187       FALSE
## 188       FALSE
## 189       FALSE
## 190       FALSE
## 191       FALSE
## 192       FALSE
## 193       FALSE
## 194       FALSE
## 195       FALSE
## 196       FALSE
## 197       FALSE
## 198       FALSE
## 199       FALSE
## 200       FALSE
## 201       FALSE
## 202       FALSE
## 203       FALSE
## 204       FALSE
## 205       FALSE
## 206       FALSE
## 207       FALSE
## 208       FALSE
## 209       FALSE
## 210       FALSE
## 211       FALSE
## 212       FALSE
## 213       FALSE
## 214       FALSE
## 215       FALSE
## 216       FALSE
## 217       FALSE
## 218       FALSE
## 219       FALSE
## 220       FALSE
## 221       FALSE
## 222       FALSE
## 223       FALSE
## 224       FALSE
## 225       FALSE
## 226       FALSE
## 227       FALSE
## 228       FALSE
## 229       FALSE
## 230       FALSE
## 231       FALSE
## 232       FALSE
## 233       FALSE
## 234       FALSE
## 235       FALSE
## 236       FALSE
## 237       FALSE
## 238       FALSE
## 239       FALSE
## 240       FALSE
## 241       FALSE
## 242       FALSE
## 243       FALSE
## 244       FALSE
## 245       FALSE
## 246       FALSE
## 247       FALSE
## 248       FALSE
## 249       FALSE
## 250       FALSE
## 251       FALSE
## 252       FALSE
## 253       FALSE
## 254       FALSE
## 255       FALSE
## 256       FALSE
## 257       FALSE
## 258       FALSE
## 259       FALSE
## 260       FALSE
## 261       FALSE
## 262       FALSE
## 263       FALSE
## 264       FALSE
## 265       FALSE
## 266       FALSE
## 267       FALSE
## 268       FALSE
## 269       FALSE
## 270       FALSE
## 271       FALSE
## 272       FALSE
## 273       FALSE
## 274       FALSE
## 275       FALSE
## 276       FALSE
## 277       FALSE
## 278       FALSE
## 279       FALSE
## 280       FALSE
## 281       FALSE
## 282       FALSE
## 283       FALSE
## 284       FALSE
## 285       FALSE
## 286       FALSE
## 287       FALSE
## 288       FALSE
## 289       FALSE
## 290       FALSE
## 291       FALSE
## 292       FALSE
## 293       FALSE
## 294       FALSE
## 295       FALSE
## 296       FALSE
## 297       FALSE
## 298       FALSE
## 299       FALSE
## 300       FALSE
## 301       FALSE
## 302       FALSE
## 303       FALSE
## 304       FALSE
## 305       FALSE
## 306       FALSE
## 307       FALSE
## 308       FALSE
## 309       FALSE
## 310       FALSE
## 311       FALSE
## 312       FALSE
## 313       FALSE
## 314       FALSE
## 315       FALSE
## 316       FALSE
## 317       FALSE
## 318       FALSE
## 319       FALSE
## 320       FALSE
## 321       FALSE
## 322       FALSE
## 323       FALSE
## 324       FALSE
## 325       FALSE
## 326       FALSE
## 327       FALSE
## 328       FALSE
## 329       FALSE
## 330       FALSE
## 331       FALSE
## 332       FALSE
## 333       FALSE
## 334       FALSE
## 335       FALSE
## 336       FALSE
## 337       FALSE
## 338       FALSE
## 339       FALSE
## 340       FALSE
## 341       FALSE
## 342       FALSE
## 343       FALSE
## 344       FALSE
## 345       FALSE
## 346       FALSE
## 347       FALSE
## 348       FALSE
## 349       FALSE
## 350       FALSE
## 351       FALSE
## 352       FALSE
## 353       FALSE
## 354       FALSE
## 355       FALSE
## 356       FALSE
## 357       FALSE
## 358       FALSE
## 359       FALSE
## 360       FALSE
## 361       FALSE
## 362       FALSE
## 363       FALSE
## 364       FALSE
## 365       FALSE
## 366       FALSE
## 367       FALSE
## 368       FALSE
## 369       FALSE
## 370       FALSE
## 371       FALSE
## 372       FALSE
## 373       FALSE
## 374       FALSE
## 375       FALSE
## 376       FALSE
## 377       FALSE
## 378       FALSE
## 379       FALSE
## 380       FALSE
## 381       FALSE
## 382       FALSE
## 383       FALSE
## 384       FALSE
## 385       FALSE
## 386       FALSE
## 387       FALSE
## 388       FALSE
## 389       FALSE
## 390       FALSE
## 391       FALSE
## 392       FALSE
## 393       FALSE
## 394       FALSE
## 395       FALSE
## 396       FALSE
## 397       FALSE
## 398       FALSE
## 399       FALSE
## 400       FALSE
## 401       FALSE
## 402       FALSE
## 403       FALSE
## 404       FALSE
## 
## ===== AL MENOS UN MÉTODO =====
## [1] ID                Valor             Z_score           outlier_Z        
## [5] outlier_IQR       Z_robusto         outlier_MAD       metodos_evaluados
## [9] numero_metodos   
## <0 rows> (o 0- extensión row.names)
## 
## ===== AL MENOS DOS MÉTODOS =====
## [1] ID                Valor             Z_score           outlier_Z        
## [5] outlier_IQR       Z_robusto         outlier_MAD       metodos_evaluados
## [9] numero_metodos   
## <0 rows> (o 0- extensión row.names)
## 
## ===== LOS TRES MÉTODOS =====
## [1] ID        Valor     Z_score   Z_robusto
## <0 rows> (o 0- extensión row.names)
## 
## ================ RESUMEN ================
##  Variable        Metodo N_evaluados N_outliers Porcentaje
##       tax       Z-score         404          0          0
##       tax           IQR         404          0          0
##       tax Tukey extremo         404          0          0
##       tax           MAD         404          0          0
## Warning: No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.

## 
## ================ CLASIFICACIÓN FINAL ================
## [1] ID                Valor             Z_score           Z_robusto        
## [5] metodos_evaluados numero_metodos    clasificacion    
## <0 rows> (o 0- extensión row.names)
## 
## ========================================
##  VARIABLE: ptratio 
## ========================================
## 
## ================ MÉTODO Z ================
## Límite inferior = 11.93533 
## Límite superior = 24.93695 
## Número de outliers = 0 
## [1] ID      Valor   Z_score
## <0 rows> (o 0- extensión row.names)
## 
## ================ MÉTODO IQR ================
## Q1 = 17 
## Q3 = 20.2 
## IQR = 3.2 
## Límite inferior = 12.2 
## Límite superior = 25 
## Número de outliers = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## =========== OUTLIERS EXTREMOS TUKEY ===========
## Límite inferior = 7.4 
## Límite superior = 29.8 
## Número de outliers extremos = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## ================ MÉTODO MAD ================
## Mediana = 19 
## MAD = 1.2 
## MAD ajustada = 1.77912 
## Número de outliers = 3 
##    ID Valor Z_robusto
## 1 157  12.6 -3.597284
## 2 158  12.6 -3.597284
## 3 159  12.6 -3.597284
## 
## ================ COMPARACIÓN ================
##      ID Valor     Z_score outlier_Z outlier_IQR outlier_extremo   Z_robusto
## 1     1  15.3 -1.44726834     FALSE       FALSE           FALSE -2.07967984
## 2     2  17.8 -0.29356588     FALSE       FALSE           FALSE -0.67449076
## 3     3  17.8 -0.29356588     FALSE       FALSE           FALSE -0.67449076
## 4     4  18.7  0.12176701     FALSE       FALSE           FALSE -0.16862269
## 5     5  18.7  0.12176701     FALSE       FALSE           FALSE -0.16862269
## 6     6  15.2 -1.49341644     FALSE       FALSE           FALSE -2.13588741
## 7     7  15.2 -1.49341644     FALSE       FALSE           FALSE -2.13588741
## 8     8  15.2 -1.49341644     FALSE       FALSE           FALSE -2.13588741
## 9     9  15.2 -1.49341644     FALSE       FALSE           FALSE -2.13588741
## 10   10  15.2 -1.49341644     FALSE       FALSE           FALSE -2.13588741
## 11   11  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
## 12   12  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
## 13   13  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
## 14   14  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
## 15   15  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
## 16   16  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
## 17   17  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
## 18   18  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
## 19   19  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
## 20   20  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
## 21   21  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
## 22   22  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
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## 307 307  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 308 308  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 309 309  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 310 310  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 311 311  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 312 312  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 313 313  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 314 314  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 315 315  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 316 316  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 317 317  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 318 318  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 319 319  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 320 320  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 321 321  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 322 322  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 323 323  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 324 324  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 325 325  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 326 326  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 327 327  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 328 328  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 329 329  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 330 330  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 331 331  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 332 332  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 333 333  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 334 334  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 335 335  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 336 336  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 337 337  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 338 338  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 339 339  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 340 340  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 341 341  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 342 342  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 343 343  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 344 344  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 345 345  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 346 346  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 347 347  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 348 348  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 349 349  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 350 350  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 351 351  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 352 352  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 353 353  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 354 354  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 355 355  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 356 356  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 357 357  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 358 358  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 359 359  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 360 360  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 361 361  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 362 362  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 363 363  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 364 364  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 365 365  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 366 366  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 367 367  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 368 368  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 369 369  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 370 370  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 371 371  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 372 372  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 373 373  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 374 374  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 375 375  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 376 376  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 377 377  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 378 378  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 379 379  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 380 380  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 381 381  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 382 382  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 383 383  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 384 384  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 385 385  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 386 386  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 387 387  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 388 388  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 389 389  20.2  0.81398849     FALSE       FALSE           FALSE  0.67449076
## 390 390  20.1  0.76784040     FALSE       FALSE           FALSE  0.61828320
## 391 391  20.1  0.76784040     FALSE       FALSE           FALSE  0.61828320
## 392 392  20.1  0.76784040     FALSE       FALSE           FALSE  0.61828320
## 393 393  20.1  0.76784040     FALSE       FALSE           FALSE  0.61828320
## 394 394  20.1  0.76784040     FALSE       FALSE           FALSE  0.61828320
## 395 395  19.2  0.35250751     FALSE       FALSE           FALSE  0.11241513
## 396 396  19.2  0.35250751     FALSE       FALSE           FALSE  0.11241513
## 397 397  19.2  0.35250751     FALSE       FALSE           FALSE  0.11241513
## 398 398  19.2  0.35250751     FALSE       FALSE           FALSE  0.11241513
## 399 399  19.2  0.35250751     FALSE       FALSE           FALSE  0.11241513
## 400 400  19.2  0.35250751     FALSE       FALSE           FALSE  0.11241513
## 401 401  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
## 402 402  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
## 403 403  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
## 404 404  21.0  1.18317328     FALSE       FALSE           FALSE  1.12415127
##     outlier_MAD
## 1         FALSE
## 2         FALSE
## 3         FALSE
## 4         FALSE
## 5         FALSE
## 6         FALSE
## 7         FALSE
## 8         FALSE
## 9         FALSE
## 10        FALSE
## 11        FALSE
## 12        FALSE
## 13        FALSE
## 14        FALSE
## 15        FALSE
## 16        FALSE
## 17        FALSE
## 18        FALSE
## 19        FALSE
## 20        FALSE
## 21        FALSE
## 22        FALSE
## 23        FALSE
## 24        FALSE
## 25        FALSE
## 26        FALSE
## 27        FALSE
## 28        FALSE
## 29        FALSE
## 30        FALSE
## 31        FALSE
## 32        FALSE
## 33        FALSE
## 34        FALSE
## 35        FALSE
## 36        FALSE
## 37        FALSE
## 38        FALSE
## 39        FALSE
## 40        FALSE
## 41        FALSE
## 42        FALSE
## 43        FALSE
## 44        FALSE
## 45        FALSE
## 46        FALSE
## 47        FALSE
## 48        FALSE
## 49        FALSE
## 50        FALSE
## 51        FALSE
## 52        FALSE
## 53        FALSE
## 54        FALSE
## 55        FALSE
## 56        FALSE
## 57        FALSE
## 58        FALSE
## 59        FALSE
## 60        FALSE
## 61        FALSE
## 62        FALSE
## 63        FALSE
## 64        FALSE
## 65        FALSE
## 66        FALSE
## 67        FALSE
## 68        FALSE
## 69        FALSE
## 70        FALSE
## 71        FALSE
## 72        FALSE
## 73        FALSE
## 74        FALSE
## 75        FALSE
## 76        FALSE
## 77        FALSE
## 78        FALSE
## 79        FALSE
## 80        FALSE
## 81        FALSE
## 82        FALSE
## 83        FALSE
## 84        FALSE
## 85        FALSE
## 86        FALSE
## 87        FALSE
## 88        FALSE
## 89        FALSE
## 90        FALSE
## 91        FALSE
## 92        FALSE
## 93        FALSE
## 94        FALSE
## 95        FALSE
## 96        FALSE
## 97        FALSE
## 98        FALSE
## 99        FALSE
## 100       FALSE
## 101       FALSE
## 102       FALSE
## 103       FALSE
## 104       FALSE
## 105       FALSE
## 106       FALSE
## 107       FALSE
## 108       FALSE
## 109       FALSE
## 110       FALSE
## 111       FALSE
## 112       FALSE
## 113       FALSE
## 114       FALSE
## 115       FALSE
## 116       FALSE
## 117       FALSE
## 118       FALSE
## 119       FALSE
## 120       FALSE
## 121       FALSE
## 122       FALSE
## 123       FALSE
## 124       FALSE
## 125       FALSE
## 126       FALSE
## 127       FALSE
## 128       FALSE
## 129       FALSE
## 130       FALSE
## 131       FALSE
## 132       FALSE
## 133       FALSE
## 134       FALSE
## 135       FALSE
## 136       FALSE
## 137       FALSE
## 138       FALSE
## 139       FALSE
## 140       FALSE
## 141       FALSE
## 142       FALSE
## 143       FALSE
## 144       FALSE
## 145       FALSE
## 146       FALSE
## 147       FALSE
## 148       FALSE
## 149       FALSE
## 150       FALSE
## 151       FALSE
## 152       FALSE
## 153       FALSE
## 154       FALSE
## 155       FALSE
## 156       FALSE
## 157        TRUE
## 158        TRUE
## 159        TRUE
## 160       FALSE
## 161       FALSE
## 162       FALSE
## 163       FALSE
## 164       FALSE
## 165       FALSE
## 166       FALSE
## 167       FALSE
## 168       FALSE
## 169       FALSE
## 170       FALSE
## 171       FALSE
## 172       FALSE
## 173       FALSE
## 174       FALSE
## 175       FALSE
## 176       FALSE
## 177       FALSE
## 178       FALSE
## 179       FALSE
## 180       FALSE
## 181       FALSE
## 182       FALSE
## 183       FALSE
## 184       FALSE
## 185       FALSE
## 186       FALSE
## 187       FALSE
## 188       FALSE
## 189       FALSE
## 190       FALSE
## 191       FALSE
## 192       FALSE
## 193       FALSE
## 194       FALSE
## 195       FALSE
## 196       FALSE
## 197       FALSE
## 198       FALSE
## 199       FALSE
## 200       FALSE
## 201       FALSE
## 202       FALSE
## 203       FALSE
## 204       FALSE
## 205       FALSE
## 206       FALSE
## 207       FALSE
## 208       FALSE
## 209       FALSE
## 210       FALSE
## 211       FALSE
## 212       FALSE
## 213       FALSE
## 214       FALSE
## 215       FALSE
## 216       FALSE
## 217       FALSE
## 218       FALSE
## 219       FALSE
## 220       FALSE
## 221       FALSE
## 222       FALSE
## 223       FALSE
## 224       FALSE
## 225       FALSE
## 226       FALSE
## 227       FALSE
## 228       FALSE
## 229       FALSE
## 230       FALSE
## 231       FALSE
## 232       FALSE
## 233       FALSE
## 234       FALSE
## 235       FALSE
## 236       FALSE
## 237       FALSE
## 238       FALSE
## 239       FALSE
## 240       FALSE
## 241       FALSE
## 242       FALSE
## 243       FALSE
## 244       FALSE
## 245       FALSE
## 246       FALSE
## 247       FALSE
## 248       FALSE
## 249       FALSE
## 250       FALSE
## 251       FALSE
## 252       FALSE
## 253       FALSE
## 254       FALSE
## 255       FALSE
## 256       FALSE
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## 258       FALSE
## 259       FALSE
## 260       FALSE
## 261       FALSE
## 262       FALSE
## 263       FALSE
## 264       FALSE
## 265       FALSE
## 266       FALSE
## 267       FALSE
## 268       FALSE
## 269       FALSE
## 270       FALSE
## 271       FALSE
## 272       FALSE
## 273       FALSE
## 274       FALSE
## 275       FALSE
## 276       FALSE
## 277       FALSE
## 278       FALSE
## 279       FALSE
## 280       FALSE
## 281       FALSE
## 282       FALSE
## 283       FALSE
## 284       FALSE
## 285       FALSE
## 286       FALSE
## 287       FALSE
## 288       FALSE
## 289       FALSE
## 290       FALSE
## 291       FALSE
## 292       FALSE
## 293       FALSE
## 294       FALSE
## 295       FALSE
## 296       FALSE
## 297       FALSE
## 298       FALSE
## 299       FALSE
## 300       FALSE
## 301       FALSE
## 302       FALSE
## 303       FALSE
## 304       FALSE
## 305       FALSE
## 306       FALSE
## 307       FALSE
## 308       FALSE
## 309       FALSE
## 310       FALSE
## 311       FALSE
## 312       FALSE
## 313       FALSE
## 314       FALSE
## 315       FALSE
## 316       FALSE
## 317       FALSE
## 318       FALSE
## 319       FALSE
## 320       FALSE
## 321       FALSE
## 322       FALSE
## 323       FALSE
## 324       FALSE
## 325       FALSE
## 326       FALSE
## 327       FALSE
## 328       FALSE
## 329       FALSE
## 330       FALSE
## 331       FALSE
## 332       FALSE
## 333       FALSE
## 334       FALSE
## 335       FALSE
## 336       FALSE
## 337       FALSE
## 338       FALSE
## 339       FALSE
## 340       FALSE
## 341       FALSE
## 342       FALSE
## 343       FALSE
## 344       FALSE
## 345       FALSE
## 346       FALSE
## 347       FALSE
## 348       FALSE
## 349       FALSE
## 350       FALSE
## 351       FALSE
## 352       FALSE
## 353       FALSE
## 354       FALSE
## 355       FALSE
## 356       FALSE
## 357       FALSE
## 358       FALSE
## 359       FALSE
## 360       FALSE
## 361       FALSE
## 362       FALSE
## 363       FALSE
## 364       FALSE
## 365       FALSE
## 366       FALSE
## 367       FALSE
## 368       FALSE
## 369       FALSE
## 370       FALSE
## 371       FALSE
## 372       FALSE
## 373       FALSE
## 374       FALSE
## 375       FALSE
## 376       FALSE
## 377       FALSE
## 378       FALSE
## 379       FALSE
## 380       FALSE
## 381       FALSE
## 382       FALSE
## 383       FALSE
## 384       FALSE
## 385       FALSE
## 386       FALSE
## 387       FALSE
## 388       FALSE
## 389       FALSE
## 390       FALSE
## 391       FALSE
## 392       FALSE
## 393       FALSE
## 394       FALSE
## 395       FALSE
## 396       FALSE
## 397       FALSE
## 398       FALSE
## 399       FALSE
## 400       FALSE
## 401       FALSE
## 402       FALSE
## 403       FALSE
## 404       FALSE
## 
## ===== AL MENOS UN MÉTODO =====
##    ID Valor   Z_score outlier_Z outlier_IQR Z_robusto outlier_MAD
## 1 157  12.6 -2.693267     FALSE       FALSE -3.597284        TRUE
## 2 158  12.6 -2.693267     FALSE       FALSE -3.597284        TRUE
## 3 159  12.6 -2.693267     FALSE       FALSE -3.597284        TRUE
##   metodos_evaluados numero_metodos
## 1                 3              1
## 2                 3              1
## 3                 3              1
## 
## ===== AL MENOS DOS MÉTODOS =====
## [1] ID                Valor             Z_score           outlier_Z        
## [5] outlier_IQR       Z_robusto         outlier_MAD       metodos_evaluados
## [9] numero_metodos   
## <0 rows> (o 0- extensión row.names)
## 
## ===== LOS TRES MÉTODOS =====
## [1] ID        Valor     Z_score   Z_robusto
## <0 rows> (o 0- extensión row.names)
## 
## ================ RESUMEN ================
##  Variable        Metodo N_evaluados N_outliers Porcentaje
##   ptratio       Z-score         404          0       0.00
##   ptratio           IQR         404          0       0.00
##   ptratio Tukey extremo         404          0       0.00
##   ptratio           MAD         404          3       0.74
## Warning: No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.

## 
## ================ CLASIFICACIÓN FINAL ================
##    ID Valor   Z_score Z_robusto metodos_evaluados numero_metodos
## 1 157  12.6 -2.693267 -3.597284                 3              1
## 2 158  12.6 -2.693267 -3.597284                 3              1
## 3 159  12.6 -2.693267 -3.597284                 3              1
##            clasificacion
## 1 Outlier según 1 método
## 2 Outlier según 1 método
## 3 Outlier según 1 método
## 
## ========================================
##  VARIABLE: black 
## ========================================
## 
## ================ MÉTODO Z ================
## Límite inferior = 60.10197 
## Límite superior = 644.833 
## Número de outliers = 20 
##     ID Valor   Z_score
## 1  324  2.60 -3.590035
## 2  325 35.05 -3.257061
## 3  326 28.79 -3.321296
## 4  329 27.25 -3.337098
## 5  330 21.57 -3.395381
## 6  332 16.45 -3.447918
## 7  333 48.45 -3.119562
## 8  337  2.52 -3.590856
## 9  338  3.65 -3.579261
## 10 339  7.68 -3.537909
## 11 340 24.65 -3.363777
## 12 341 18.82 -3.423600
## 13 349 27.49 -3.334636
## 14 355 43.06 -3.174870
## 15 359  0.32 -3.613430
## 16 362  6.68 -3.548170
## 17 363 50.92 -3.094217
## 18 364 10.48 -3.509177
## 19 365  3.50 -3.580800
## 20 370 22.01 -3.390867
## 
## ================ MÉTODO IQR ================
## Q1 = 373.475 
## Q3 = 396.06 
## IQR = 22.585 
## Límite inferior = 339.5975 
## Límite superior = 429.9375 
## Número de outliers = 61 
##     ID  Valor
## 1   18 303.42
## 2   19 306.38
## 3   24 248.31
## 4   75  70.80
## 5  102 262.76
## 6  112 172.91
## 7  113 169.27
## 8  119 261.95
## 9  120 321.02
## 10 121  88.01
## 11 122  88.63
## 12 126 338.92
## 13 131 240.16
## 14 133 227.61
## 15 134 297.09
## 16 135 292.29
## 17 293 316.03
## 18 294 131.42
## 19 317 338.16
## 20 321 329.46
## 21 323 314.64
## 22 324   2.60
## 23 325  35.05
## 24 326  28.79
## 25 327 210.97
## 26 328  88.27
## 27 329  27.25
## 28 330  21.57
## 29 331 127.36
## 30 332  16.45
## 31 333  48.45
## 32 334 318.75
## 33 335 319.98
## 34 336 291.55
## 35 337   2.52
## 36 338   3.65
## 37 339   7.68
## 38 340  24.65
## 39 341  18.82
## 40 342  60.72
## 41 343  83.45
## 42 344  81.33
## 43 345  97.95
## 44 346 100.19
## 45 347 100.63
## 46 348 109.85
## 47 349  27.49
## 48 350  68.95
## 49 354 240.52
## 50 355  43.06
## 51 356 318.01
## 52 358 304.21
## 53 359   0.32
## 54 362   6.68
## 55 363  50.92
## 56 364  10.48
## 57 365   3.50
## 58 369 334.40
## 59 370  22.01
## 60 378 302.76
## 61 392 318.43
## 
## =========== OUTLIERS EXTREMOS TUKEY ===========
## Límite inferior = 305.72 
## Límite superior = 463.815 
## Número de outliers extremos = 49 
##     ID  Valor
## 1   18 303.42
## 2   24 248.31
## 3   75  70.80
## 4  102 262.76
## 5  112 172.91
## 6  113 169.27
## 7  119 261.95
## 8  121  88.01
## 9  122  88.63
## 10 131 240.16
## 11 133 227.61
## 12 134 297.09
## 13 135 292.29
## 14 294 131.42
## 15 324   2.60
## 16 325  35.05
## 17 326  28.79
## 18 327 210.97
## 19 328  88.27
## 20 329  27.25
## 21 330  21.57
## 22 331 127.36
## 23 332  16.45
## 24 333  48.45
## 25 336 291.55
## 26 337   2.52
## 27 338   3.65
## 28 339   7.68
## 29 340  24.65
## 30 341  18.82
## 31 342  60.72
## 32 343  83.45
## 33 344  81.33
## 34 345  97.95
## 35 346 100.19
## 36 347 100.63
## 37 348 109.85
## 38 349  27.49
## 39 350  68.95
## 40 354 240.52
## 41 355  43.06
## 42 358 304.21
## 43 359   0.32
## 44 362   6.68
## 45 363  50.92
## 46 364  10.48
## 47 365   3.50
## 48 370  22.01
## 49 378 302.76
## 
## ================ MÉTODO MAD ================
## Mediana = 391.065 
## MAD = 5.835 
## MAD ajustada = 8.650971 
## Número de outliers = 83 
##     ID  Valor  Z_robusto
## 1   18 303.42 -10.131233
## 2   19 306.38  -9.789075
## 3   21 360.17  -3.571275
## 4   23 358.77  -3.733107
## 5   24 248.31 -16.501616
## 6   68 357.98  -3.824426
## 7   75  70.80 -37.020700
## 8   85 344.91  -5.335239
## 9  102 262.76 -14.831283
## 10 112 172.91 -25.217400
## 11 113 169.27 -25.638162
## 12 115 351.85  -4.533017
## 13 117 341.60  -5.717855
## 14 118 343.28  -5.523657
## 15 119 261.95 -14.924914
## 16 120 321.02  -8.096779
## 17 121  88.01 -35.031328
## 18 122  88.63 -34.959659
## 19 124 353.89  -4.297205
## 20 126 338.92  -6.027647
## 21 131 240.16 -17.443707
## 22 133 227.61 -18.894411
## 23 134 297.09 -10.862942
## 24 135 292.29 -11.417793
## 25 136 348.13  -4.963027
## 26 158 354.31  -4.248656
## 27 171 348.93  -4.870552
## 28 188 360.20  -3.567808
## 29 227 341.60  -5.717855
## 30 288 350.65  -4.671730
## 31 290 353.04  -4.395460
## 32 291 354.55  -4.220913
## 33 292 354.70  -4.203574
## 34 293 316.03  -8.673593
## 35 294 131.42 -30.013394
## 36 298 347.88  -4.991925
## 37 317 338.16  -6.115498
## 38 321 329.46  -7.121166
## 39 323 314.64  -8.834268
## 40 324   2.60 -44.904208
## 41 325  35.05 -41.153184
## 42 326  28.79 -41.876802
## 43 327 210.97 -20.817894
## 44 328  88.27 -35.001273
## 45 329  27.25 -42.054817
## 46 330  21.57 -42.711390
## 47 331 127.36 -30.482705
## 48 332  16.45 -43.303232
## 49 333  48.45 -39.604225
## 50 334 318.75  -8.359177
## 51 335 319.98  -8.216997
## 52 336 291.55 -11.503333
## 53 337   2.52 -44.913455
## 54 338   3.65 -44.782834
## 55 339   7.68 -44.316991
## 56 340  24.65 -42.355361
## 57 341  18.82 -43.029274
## 58 342  60.72 -38.185887
## 59 343  83.45 -35.558436
## 60 344  81.33 -35.803495
## 61 345  97.95 -33.882324
## 62 346 100.19 -33.623393
## 63 347 100.63 -33.572532
## 64 348 109.85 -32.506756
## 65 349  27.49 -42.027074
## 66 350  68.95 -37.234549
## 67 354 240.52 -17.402093
## 68 355  43.06 -40.227276
## 69 356 318.01  -8.444717
## 70 358 304.21 -10.039913
## 71 359   0.32 -45.167762
## 72 360 355.29  -4.135374
## 73 362   6.68 -44.432585
## 74 363  50.92 -39.318708
## 75 364  10.48 -43.993327
## 76 365   3.50 -44.800173
## 77 369 334.40  -6.550132
## 78 370  22.01 -42.660529
## 79 377 352.58  -4.448634
## 80 378 302.76 -10.207525
## 81 380 349.48  -4.806975
## 82 391 344.05  -5.434650
## 83 392 318.43  -8.396167
## 
## ================ COMPARACIÓN ================
##      ID  Valor      Z_score outlier_Z outlier_IQR outlier_extremo     Z_robusto
## 1     1 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 2     2 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 3     3 392.83  0.414164759     FALSE       FALSE           FALSE   0.204023340
## 4     4 394.63  0.432634789     FALSE       FALSE           FALSE   0.412092469
## 5     5 394.12  0.427401614     FALSE       FALSE           FALSE   0.353139549
## 6     6 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 7     7 386.63  0.350545769     FALSE       FALSE           FALSE  -0.512659215
## 8     8 386.71  0.351366659     FALSE       FALSE           FALSE  -0.503411698
## 9     9 392.52  0.410983810     FALSE       FALSE           FALSE   0.168189213
## 10   10 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 11   11 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 12   12 380.02  0.282719716     FALSE       FALSE           FALSE  -1.276735294
## 13   13 386.75  0.351777104     FALSE       FALSE           FALSE  -0.498787940
## 14   14 390.95  0.394873840     FALSE       FALSE           FALSE  -0.013293305
## 15   15 392.53  0.411086421     FALSE       FALSE           FALSE   0.169345152
## 16   16 394.54  0.431711287     FALSE       FALSE           FALSE   0.401689013
## 17   17 394.33  0.429556451     FALSE       FALSE           FALSE   0.377414281
## 18   18 303.42 -0.503282652     FALSE        TRUE            TRUE -10.131232667
## 19   19 306.38 -0.472909714     FALSE        TRUE           FALSE  -9.789074544
## 20   20 380.23  0.284874553     FALSE       FALSE           FALSE  -1.252460562
## 21   21 360.17  0.079036335     FALSE       FALSE           FALSE  -3.571275409
## 22   22 376.73  0.248960606     FALSE       FALSE           FALSE  -1.657039424
## 23   23 358.77  0.064670756     FALSE       FALSE           FALSE  -3.733106954
## 24   24 248.31 -1.068773389     FALSE        TRUE            TRUE -16.501615830
## 25   25 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 26   26 377.56  0.257477342     FALSE       FALSE           FALSE  -1.561096436
## 27   27 393.43  0.420321436     FALSE       FALSE           FALSE   0.273379717
## 28   28 385.41  0.338027193     FALSE       FALSE           FALSE  -0.653683847
## 29   29 383.37  0.317094493     FALSE       FALSE           FALSE  -0.889495526
## 30   30 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 31   31 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 32   32 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 33   33 395.56  0.442177637     FALSE       FALSE           FALSE   0.519594852
## 34   34 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 35   35 395.93  0.445974255     FALSE       FALSE           FALSE   0.562364618
## 36   36 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 37   37 392.90  0.414883038     FALSE       FALSE           FALSE   0.212114918
## 38   38 390.68  0.392103335     FALSE       FALSE           FALSE  -0.044503675
## 39   39 378.08  0.262813129     FALSE       FALSE           FALSE  -1.500987577
## 40   40 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 41   41 393.24  0.418371822     FALSE       FALSE           FALSE   0.251416864
## 42   42 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 43   43 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 44   44 396.21  0.448847370     FALSE       FALSE           FALSE   0.594730927
## 45   45 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 46   46 383.73  0.320788499     FALSE       FALSE           FALSE  -0.847881700
## 47   47 390.91  0.394463395     FALSE       FALSE           FALSE  -0.017917064
## 48   48 377.17  0.253475502     FALSE       FALSE           FALSE  -1.606178081
## 49   49 394.92  0.435610516     FALSE       FALSE           FALSE   0.445614718
## 50   50 383.23  0.315657935     FALSE       FALSE           FALSE  -0.905678680
## 51   51 373.66  0.217458945     FALSE       FALSE           FALSE  -2.011912882
## 52   52 386.96  0.353931941     FALSE       FALSE           FALSE  -0.474513208
## 53   53 396.06  0.447308201     FALSE       FALSE           FALSE   0.577391833
## 54   54 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 55   55 395.63  0.442895916     FALSE       FALSE           FALSE   0.527686430
## 56   56 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 57   57 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 58   58 392.30  0.408726362     FALSE       FALSE           FALSE   0.142758541
## 59   59 395.99  0.446589922     FALSE       FALSE           FALSE   0.569300255
## 60   60 395.15  0.437970575     FALSE       FALSE           FALSE   0.472201329
## 61   61 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 62   62 396.06  0.447308201     FALSE       FALSE           FALSE   0.577391833
## 63   63 392.18  0.407495026     FALSE       FALSE           FALSE   0.128887266
## 64   64 393.55  0.421552771     FALSE       FALSE           FALSE   0.287250992
## 65   65 395.01  0.436534017     FALSE       FALSE           FALSE   0.456018174
## 66   66 396.33  0.450078706     FALSE       FALSE           FALSE   0.608602202
## 67   67 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 68   68 357.98  0.056564465     FALSE       FALSE           FALSE  -3.824426183
## 69   69 391.83  0.403903632     FALSE       FALSE           FALSE   0.088429380
## 70   70 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 71   71 393.53  0.421347549     FALSE       FALSE           FALSE   0.284939113
## 72   72 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 73   73 394.76  0.433968735     FALSE       FALSE           FALSE   0.427119684
## 74   74 395.58  0.442382860     FALSE       FALSE           FALSE   0.521906732
## 75   75  70.80 -2.890226135     FALSE        TRUE            TRUE -37.020699757
## 76   76 394.47  0.430993008     FALSE       FALSE           FALSE   0.393597435
## 77   77 392.69  0.412728202     FALSE       FALSE           FALSE   0.187840186
## 78   78 394.05  0.426683335     FALSE       FALSE           FALSE   0.345047972
## 79   79 387.69  0.361422564     FALSE       FALSE           FALSE  -0.390129617
## 80   80 393.49  0.420937104     FALSE       FALSE           FALSE   0.280315354
## 81   81 395.59  0.442485471     FALSE       FALSE           FALSE   0.523062671
## 82   82 394.95  0.435918350     FALSE       FALSE           FALSE   0.449082537
## 83   83 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 84   84 388.74  0.372196748     FALSE       FALSE           FALSE  -0.268755958
## 85   85 344.91 -0.077548471     FALSE       FALSE           FALSE  -5.335239247
## 86   86 393.30  0.418987489     FALSE       FALSE           FALSE   0.258352502
## 87   87 394.51  0.431403454     FALSE       FALSE           FALSE   0.398221194
## 88   88 391.50  0.400517460     FALSE       FALSE           FALSE   0.050283373
## 89   89 389.15  0.376403810     FALSE       FALSE           FALSE  -0.221362434
## 90   90 377.67  0.258606066     FALSE       FALSE           FALSE  -1.548381101
## 91   91 378.09  0.262915740     FALSE       FALSE           FALSE  -1.499831637
## 92   92 370.31  0.183084168     FALSE       FALSE           FALSE  -2.399152650
## 93   93 379.38  0.276152594     FALSE       FALSE           FALSE  -1.350715428
## 94   94 385.02  0.334025353     FALSE       FALSE           FALSE  -0.698765491
## 95   95 392.11  0.406776748     FALSE       FALSE           FALSE   0.120795689
## 96   96 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 97   97 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 98   98 395.04  0.436841851     FALSE       FALSE           FALSE   0.459485993
## 99   99 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 100 100 385.76  0.341618588     FALSE       FALSE           FALSE  -0.613225960
## 101 101 388.69  0.371683691     FALSE       FALSE           FALSE  -0.274535656
## 102 102 262.76 -0.920500097     FALSE        TRUE            TRUE -14.831283101
## 103 103 394.67  0.433045234     FALSE       FALSE           FALSE   0.416716228
## 104 104 378.25  0.264557520     FALSE       FALSE           FALSE  -1.481336604
## 105 105 394.08  0.426991169     FALSE       FALSE           FALSE   0.348515791
## 106 106 392.04  0.406058469     FALSE       FALSE           FALSE   0.112704111
## 107 107 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 108 108 388.08  0.365424404     FALSE       FALSE           FALSE  -0.345047972
## 109 109 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 110 110 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 111 111 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 112 112 172.91 -1.842462404     FALSE        TRUE            TRUE -25.217400451
## 113 113 169.27 -1.879812908     FALSE        TRUE            TRUE -25.638162468
## 114 114 391.71  0.402672297     FALSE       FALSE           FALSE   0.074558105
## 115 115 351.85 -0.006336246     FALSE       FALSE           FALSE  -4.533017161
## 116 116 372.80  0.208634375     FALSE       FALSE           FALSE  -2.111323688
## 117 117 341.60 -0.111512803     FALSE       FALSE           FALSE  -5.717855256
## 118 118 343.28 -0.094274109     FALSE       FALSE           FALSE  -5.523657402
## 119 119 261.95 -0.928811610     FALSE        TRUE            TRUE -14.924914209
## 120 120 321.02 -0.322686808     FALSE        TRUE           FALSE  -8.096778963
## 121 121  88.01 -2.713632130     FALSE        TRUE            TRUE -35.031327697
## 122 122  88.63 -2.707270231     FALSE        TRUE            TRUE -34.959659442
## 123 123 363.43  0.112487610     FALSE       FALSE           FALSE  -3.194439098
## 124 124 353.89  0.014596454     FALSE       FALSE           FALSE  -4.297205481
## 125 125 364.31  0.121517403     FALSE       FALSE           FALSE  -3.092716413
## 126 126 338.92 -0.139012625     FALSE        TRUE           FALSE  -6.027647070
## 127 127 374.43  0.225360013     FALSE       FALSE           FALSE  -1.922905533
## 128 128 389.61  0.381123929     FALSE       FALSE           FALSE  -0.168189213
## 129 129 388.45  0.369221021     FALSE       FALSE           FALSE  -0.302278207
## 130 130 395.11  0.437560130     FALSE       FALSE           FALSE   0.467577570
## 131 131 240.16 -1.152401578     FALSE        TRUE            TRUE -17.443706608
## 132 132 369.30  0.172720429     FALSE       FALSE           FALSE  -2.515902550
## 133 133 227.61 -1.281178729     FALSE        TRUE            TRUE -18.894410812
## 134 134 297.09 -0.568235589     FALSE        TRUE            TRUE -10.862942437
## 135 135 292.29 -0.617489001     FALSE        TRUE            TRUE -11.417793448
## 136 136 348.13 -0.044507641     FALSE       FALSE           FALSE  -4.963026694
## 137 137 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 138 138 395.50  0.441561970     FALSE       FALSE           FALSE   0.512659215
## 139 139 393.23  0.418269210     FALSE       FALSE           FALSE   0.250260924
## 140 140 390.96  0.394976451     FALSE       FALSE           FALSE  -0.012137366
## 141 141 393.23  0.418269210     FALSE       FALSE           FALSE   0.250260924
## 142 142 391.27  0.398157400     FALSE       FALSE           FALSE   0.023696762
## 143 143 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 144 144 395.56  0.442177637     FALSE       FALSE           FALSE   0.519594852
## 145 145 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 146 146 391.00  0.395386896     FALSE       FALSE           FALSE  -0.007513607
## 147 147 387.11  0.355471110     FALSE       FALSE           FALSE  -0.457174114
## 148 148 393.87  0.424836332     FALSE       FALSE           FALSE   0.324241059
## 149 149 382.84  0.311656095     FALSE       FALSE           FALSE  -0.950760325
## 150 150 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 151 151 377.68  0.258708677     FALSE       FALSE           FALSE  -1.547225161
## 152 152 389.71  0.382150042     FALSE       FALSE           FALSE  -0.156629816
## 153 153 390.49  0.390153721     FALSE       FALSE           FALSE  -0.066466527
## 154 154 393.37  0.419705768     FALSE       FALSE           FALSE   0.266444079
## 155 155 376.70  0.248652773     FALSE       FALSE           FALSE  -1.660507242
## 156 156 394.23  0.428530338     FALSE       FALSE           FALSE   0.365854885
## 157 157 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 158 158 354.31  0.018906127     FALSE       FALSE           FALSE  -4.248656018
## 159 159 392.20  0.407700249     FALSE       FALSE           FALSE   0.131199145
## 160 160 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 161 161 384.30  0.326637342     FALSE       FALSE           FALSE  -0.781993143
## 162 162 393.77  0.423810219     FALSE       FALSE           FALSE   0.312681663
## 163 163 395.38  0.440330635     FALSE       FALSE           FALSE   0.498787940
## 164 164 392.78  0.413651703     FALSE       FALSE           FALSE   0.198243642
## 165 165 389.43  0.379276926     FALSE       FALSE           FALSE  -0.188996125
## 166 166 381.32  0.296059182     FALSE       FALSE           FALSE  -1.126463145
## 167 167 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 168 168 393.25  0.418474433     FALSE       FALSE           FALSE   0.252572804
## 169 169 390.94  0.394771228     FALSE       FALSE           FALSE  -0.014449245
## 170 170 385.81  0.342131644     FALSE       FALSE           FALSE  -0.607446262
## 171 171 348.93 -0.036298739     FALSE       FALSE           FALSE  -4.870551525
## 172 172 393.63  0.422373661     FALSE       FALSE           FALSE   0.296498509
## 173 173 392.80  0.413856926     FALSE       FALSE           FALSE   0.200555521
## 174 174 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 175 175 393.74  0.423502385     FALSE       FALSE           FALSE   0.309213844
## 176 176 391.70  0.402569685     FALSE       FALSE           FALSE   0.073402165
## 177 177 395.24  0.438894077     FALSE       FALSE           FALSE   0.482604785
## 178 178 390.39  0.389127608     FALSE       FALSE           FALSE  -0.078025923
## 179 179 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 180 180 385.05  0.334333187     FALSE       FALSE           FALSE  -0.695297672
## 181 181 387.38  0.358241614     FALSE       FALSE           FALSE  -0.425963744
## 182 182 372.08  0.201246363     FALSE       FALSE           FALSE  -2.194551340
## 183 183 377.51  0.256964286     FALSE       FALSE           FALSE  -1.566876134
## 184 184 378.35  0.265583633     FALSE       FALSE           FALSE  -1.469777208
## 185 185 376.14  0.242906541     FALSE       FALSE           FALSE  -1.725239860
## 186 186 385.91  0.343157757     FALSE       FALSE           FALSE  -0.595886866
## 187 187 378.95  0.271740309     FALSE       FALSE           FALSE  -1.400420831
## 188 188 360.20  0.079344169     FALSE       FALSE           FALSE  -3.567807591
## 189 189 376.75  0.249165829     FALSE       FALSE           FALSE  -1.654727544
## 190 190 388.45  0.369221021     FALSE       FALSE           FALSE  -0.302278207
## 191 191 390.07  0.385844047     FALSE       FALSE           FALSE  -0.115015991
## 192 192 383.78  0.321301555     FALSE       FALSE           FALSE  -0.842102002
## 193 193 391.25  0.397952178     FALSE       FALSE           FALSE   0.021384883
## 194 194 394.62  0.432532178     FALSE       FALSE           FALSE   0.410936530
## 195 195 372.75  0.208121319     FALSE       FALSE           FALSE  -2.117103386
## 196 196 374.71  0.228233129     FALSE       FALSE           FALSE  -1.890539224
## 197 197 372.49  0.205453426     FALSE       FALSE           FALSE  -2.147157816
## 198 198 390.18  0.386972771     FALSE       FALSE           FALSE  -0.102300655
## 199 199 376.14  0.242906541     FALSE       FALSE           FALSE  -1.725239860
## 200 200 374.71  0.228233129     FALSE       FALSE           FALSE  -1.890539224
## 201 201 393.74  0.423502385     FALSE       FALSE           FALSE   0.309213844
## 202 202 377.07  0.252449390     FALSE       FALSE           FALSE  -1.617737477
## 203 203 386.09  0.345004760     FALSE       FALSE           FALSE  -0.575079953
## 204 204 392.89  0.414780427     FALSE       FALSE           FALSE   0.210958978
## 205 205 395.18  0.438278409     FALSE       FALSE           FALSE   0.475669147
## 206 206 386.34  0.347570042     FALSE       FALSE           FALSE  -0.546181463
## 207 207 389.70  0.382047430     FALSE       FALSE           FALSE  -0.157785756
## 208 208 391.93  0.404929745     FALSE       FALSE           FALSE   0.099988776
## 209 209 392.80  0.413856926     FALSE       FALSE           FALSE   0.200555521
## 210 210 388.37  0.368400131     FALSE       FALSE           FALSE  -0.311525724
## 211 211 386.86  0.352905828     FALSE       FALSE           FALSE  -0.486072604
## 212 212 384.07  0.324277282     FALSE       FALSE           FALSE  -0.808579754
## 213 213 390.30  0.388204107     FALSE       FALSE           FALSE  -0.088429380
## 214 214 391.34  0.398875679     FALSE       FALSE           FALSE   0.031788339
## 215 215 388.65  0.371273246     FALSE       FALSE           FALSE  -0.279159415
## 216 216 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 217 217 394.96  0.436020961     FALSE       FALSE           FALSE   0.450238476
## 218 218 389.25  0.377429923     FALSE       FALSE           FALSE  -0.209803038
## 219 219 393.45  0.420526658     FALSE       FALSE           FALSE   0.275691596
## 220 220 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 221 221 387.31  0.357523335     FALSE       FALSE           FALSE  -0.434055322
## 222 222 392.23  0.408008083     FALSE       FALSE           FALSE   0.134666964
## 223 223 377.07  0.252449390     FALSE       FALSE           FALSE  -1.617737477
## 224 224 395.52  0.441767192     FALSE       FALSE           FALSE   0.514971094
## 225 225 394.72  0.433558290     FALSE       FALSE           FALSE   0.422495926
## 226 226 394.72  0.433558290     FALSE       FALSE           FALSE   0.422495926
## 227 227 341.60 -0.111512803     FALSE       FALSE           FALSE  -5.717855256
## 228 228 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 229 229 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 230 230 371.72  0.197552357     FALSE       FALSE           FALSE  -2.236165166
## 231 231 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 232 232 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 233 233 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 234 234 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 235 235 392.85  0.414369982     FALSE       FALSE           FALSE   0.206335219
## 236 236 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 237 237 368.24  0.161843634     FALSE       FALSE           FALSE  -2.638432148
## 238 238 395.75  0.444127252     FALSE       FALSE           FALSE   0.541557705
## 239 239 390.43  0.389538053     FALSE       FALSE           FALSE  -0.073402165
## 240 240 393.68  0.422886718     FALSE       FALSE           FALSE   0.302278207
## 241 241 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 242 242 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 243 243 396.24  0.449155204     FALSE       FALSE           FALSE   0.598198746
## 244 244 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 245 245 396.30  0.449770872     FALSE       FALSE           FALSE   0.605134383
## 246 246 393.39  0.419910991     FALSE       FALSE           FALSE   0.268755958
## 247 247 395.69  0.443511584     FALSE       FALSE           FALSE   0.534622067
## 248 248 396.42  0.451002207     FALSE       FALSE           FALSE   0.619005658
## 249 249 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 250 250 395.21  0.438586243     FALSE       FALSE           FALSE   0.479136966
## 251 251 396.23  0.449052593     FALSE       FALSE           FALSE   0.597042806
## 252 252 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 253 253 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 254 254 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 255 255 391.13  0.396720843     FALSE       FALSE           FALSE   0.007513607
## 256 256 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 257 257 393.68  0.422886718     FALSE       FALSE           FALSE   0.302278207
## 258 258 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 259 259 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 260 260 382.44  0.307551644     FALSE       FALSE           FALSE  -0.996997909
## 261 261 375.21  0.233363693     FALSE       FALSE           FALSE  -1.832742244
## 262 262 368.57  0.165229806     FALSE       FALSE           FALSE  -2.600286141
## 263 263 394.02  0.426375501     FALSE       FALSE           FALSE   0.341580153
## 264 264 389.71  0.382150042     FALSE       FALSE           FALSE  -0.156629816
## 265 265 389.40  0.378969092     FALSE       FALSE           FALSE  -0.192463944
## 266 266 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 267 267 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 268 268 394.81  0.434481792     FALSE       FALSE           FALSE   0.432899382
## 269 269 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 270 270 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 271 271 394.74  0.433763513     FALSE       FALSE           FALSE   0.424807805
## 272 272 389.96  0.384715323     FALSE       FALSE           FALSE  -0.127731326
## 273 273 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 274 274 387.97  0.364295680     FALSE       FALSE           FALSE  -0.357763308
## 275 275 385.64  0.340387253     FALSE       FALSE           FALSE  -0.627097236
## 276 276 364.61  0.124595741     FALSE       FALSE           FALSE  -3.058038225
## 277 277 392.43  0.410060308     FALSE       FALSE           FALSE   0.157785756
## 278 278 390.94  0.394771228     FALSE       FALSE           FALSE  -0.014449245
## 279 279 389.85  0.383586599     FALSE       FALSE           FALSE  -0.140446662
## 280 280 370.78  0.187906898     FALSE       FALSE           FALSE  -2.344823489
## 281 281 384.46  0.328279122     FALSE       FALSE           FALSE  -0.763498109
## 282 282 382.80  0.311245650     FALSE       FALSE           FALSE  -0.955384083
## 283 283 376.04  0.241880428     FALSE       FALSE           FALSE  -1.736799256
## 284 284 377.73  0.259221734     FALSE       FALSE           FALSE  -1.541445463
## 285 285 391.34  0.398875679     FALSE       FALSE           FALSE   0.031788339
## 286 286 395.43  0.440843691     FALSE       FALSE           FALSE   0.504567638
## 287 287 374.56  0.226693960     FALSE       FALSE           FALSE  -1.907878318
## 288 288 350.65 -0.018649599     FALSE       FALSE           FALSE  -4.671729913
## 289 289 380.79  0.290620784     FALSE       FALSE           FALSE  -1.187727944
## 290 290 353.04  0.005874496     FALSE       FALSE           FALSE  -4.395460348
## 291 291 354.55  0.021368798     FALSE       FALSE           FALSE  -4.220913467
## 292 292 354.70  0.022907967     FALSE       FALSE           FALSE  -4.203574373
## 293 293 316.03 -0.373889834     FALSE        TRUE           FALSE  -8.673592826
## 294 294 131.42 -2.268196585     FALSE        TRUE            TRUE -30.013393872
## 295 295 375.52  0.236544642     FALSE       FALSE           FALSE  -1.796908116
## 296 296 392.05  0.406161080     FALSE       FALSE           FALSE   0.113860051
## 297 297 366.15  0.140397877     FALSE       FALSE           FALSE  -2.880023526
## 298 298 347.88 -0.047072922     FALSE       FALSE           FALSE  -4.991925184
## 299 299 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 300 300 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 301 301 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 302 302 363.02  0.108280548     FALSE       FALSE           FALSE  -3.241832622
## 303 303 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 304 304 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 305 305 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 306 306 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 307 307 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 308 308 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 309 309 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 310 310 372.92  0.209865711     FALSE       FALSE           FALSE  -2.097452413
## 311 311 378.38  0.265891467     FALSE       FALSE           FALSE  -1.466309389
## 312 312 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 313 313 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 314 314 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 315 315 391.98  0.405442801     FALSE       FALSE           FALSE   0.105768474
## 316 316 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 317 317 338.16 -0.146811082     FALSE        TRUE           FALSE  -6.115498480
## 318 318 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 319 319 376.11  0.242598707     FALSE       FALSE           FALSE  -1.728707679
## 320 320 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 321 321 329.46 -0.236082891     FALSE        TRUE           FALSE  -7.121165936
## 322 322 384.97  0.333512297     FALSE       FALSE           FALSE  -0.704545189
## 323 323 314.64 -0.388152801     FALSE        TRUE           FALSE  -8.834268431
## 324 324   2.60 -3.590035031      TRUE        TRUE            TRUE -44.904207863
## 325 325  35.05 -3.257061443      TRUE        TRUE            TRUE -41.153183845
## 326 326  28.79 -3.321296102      TRUE        TRUE            TRUE -41.876802038
## 327 327 210.97 -1.451923891     FALSE        TRUE            TRUE -20.817894315
## 328 328  88.27 -2.710964237     FALSE        TRUE            TRUE -35.001273267
## 329 329  27.25 -3.337098238      TRUE        TRUE            TRUE -42.054816737
## 330 330  21.57 -3.395381442      TRUE        TRUE            TRUE -42.711390432
## 331 331 127.36 -2.309856762     FALSE        TRUE            TRUE -30.482705352
## 332 332  16.45 -3.447918415      TRUE        TRUE            TRUE -43.303231510
## 333 333  48.45 -3.119562335      TRUE        TRUE            TRUE -39.604224774
## 334 334 318.75 -0.345979567     FALSE        TRUE           FALSE  -8.359177253
## 335 335 319.98 -0.333358380     FALSE        TRUE           FALSE  -8.216996682
## 336 336 291.55 -0.625082235     FALSE        TRUE            TRUE -11.503332978
## 337 337   2.52 -3.590855921      TRUE        TRUE            TRUE -44.913455380
## 338 338   3.65 -3.579260847      TRUE        TRUE            TRUE -44.782834204
## 339 339   7.68 -3.537908503      TRUE        TRUE            TRUE -44.316990544
## 340 340  24.65 -3.363777169      TRUE        TRUE            TRUE -42.355361034
## 341 341  18.82 -3.423599543      TRUE        TRUE            TRUE -43.029273824
## 342 342  60.72 -2.993658300     FALSE        TRUE            TRUE -38.185886879
## 343 343  83.45 -2.760422872     FALSE        TRUE            TRUE -35.558436157
## 344 344  81.33 -2.782176462     FALSE        TRUE            TRUE -35.803495353
## 345 345  97.95 -2.611636523     FALSE        TRUE            TRUE -33.882323730
## 346 346 100.19 -2.588651597     FALSE        TRUE            TRUE -33.623393258
## 347 347 100.63 -2.584136701     FALSE        TRUE            TRUE -33.572531916
## 348 348 109.85 -2.489529105     FALSE        TRUE            TRUE -32.506755600
## 349 349  27.49 -3.334635567      TRUE        TRUE            TRUE -42.027074186
## 350 350  68.95 -2.909209220     FALSE        TRUE            TRUE -37.234548584
## 351 351 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 352 352 391.45  0.400004403     FALSE       FALSE           FALSE   0.044503675
## 353 353 395.69  0.443511584     FALSE       FALSE           FALSE   0.534622067
## 354 354 240.52 -1.148707573     FALSE        TRUE            TRUE -17.402092782
## 355 355  43.06 -3.174869812      TRUE        TRUE            TRUE -40.227276221
## 356 356 318.01 -0.353572801     FALSE        TRUE           FALSE  -8.444716784
## 357 357 388.52  0.369939300     FALSE       FALSE           FALSE  -0.294186629
## 358 358 304.21 -0.495176361     FALSE        TRUE            TRUE -10.039913439
## 359 359   0.32 -3.613430402      TRUE        TRUE            TRUE -45.167762093
## 360 360 355.29  0.028962032     FALSE       FALSE           FALSE  -4.135373937
## 361 361 375.87  0.240136037     FALSE       FALSE           FALSE  -1.756450230
## 362 362   6.68 -3.548169631      TRUE        TRUE            TRUE -44.432584504
## 363 363  50.92 -3.094217350      TRUE        TRUE            TRUE -39.318707692
## 364 364  10.48 -3.509177346      TRUE        TRUE            TRUE -43.993327454
## 365 365   3.50 -3.580800016      TRUE        TRUE            TRUE -44.800173298
## 366 366 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 367 367 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 368 368 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 369 369 334.40 -0.185392921     FALSE        TRUE           FALSE  -6.550131771
## 370 370  22.01 -3.390866546      TRUE        TRUE            TRUE -42.660529090
## 371 371 368.74  0.166974198     FALSE       FALSE           FALSE  -2.580635168
## 372 372 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 373 373 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 374 374 395.33  0.439817578     FALSE       FALSE           FALSE   0.493008242
## 375 375 393.37  0.419705768     FALSE       FALSE           FALSE   0.266444079
## 376 376 374.68  0.227925295     FALSE       FALSE           FALSE  -1.894007043
## 377 377 352.58  0.001154377     FALSE       FALSE           FALSE  -4.448633570
## 378 378 302.76 -0.510054996     FALSE        TRUE            TRUE -10.207524681
## 379 379 396.21  0.448847370     FALSE       FALSE           FALSE   0.594730927
## 380 380 349.48 -0.030655118     FALSE       FALSE           FALSE  -4.806974847
## 381 381 379.70  0.279436155     FALSE       FALSE           FALSE  -1.313725361
## 382 382 383.32  0.316581437     FALSE       FALSE           FALSE  -0.895275224
## 383 383 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 384 384 393.07  0.416627430     FALSE       FALSE           FALSE   0.231765891
## 385 385 395.28  0.439304522     FALSE       FALSE           FALSE   0.487228543
## 386 386 392.92  0.415088261     FALSE       FALSE           FALSE   0.214426797
## 387 387 370.73  0.187393841     FALSE       FALSE           FALSE  -2.350603187
## 388 388 388.62  0.370965413     FALSE       FALSE           FALSE  -0.282627233
## 389 389 388.22  0.366860962     FALSE       FALSE           FALSE  -0.328864818
## 390 390 395.09  0.437354908     FALSE       FALSE           FALSE   0.465265691
## 391 391 344.05 -0.086373041     FALSE       FALSE           FALSE  -5.434650053
## 392 392 318.43 -0.349263128     FALSE        TRUE           FALSE  -8.396167320
## 393 393 390.11  0.386254493     FALSE       FALSE           FALSE  -0.110392232
## 394 394 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 395 395 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 396 396 393.29  0.418884878     FALSE       FALSE           FALSE   0.257196562
## 397 397 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 398 398 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 399 399 395.77  0.444332474     FALSE       FALSE           FALSE   0.543869584
## 400 400 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 401 401 391.99  0.405545412     FALSE       FALSE           FALSE   0.106924413
## 402 402 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
## 403 403 393.45  0.420526658     FALSE       FALSE           FALSE   0.275691596
## 404 404 396.90  0.455927548     FALSE       FALSE           FALSE   0.674490759
##     outlier_MAD
## 1         FALSE
## 2         FALSE
## 3         FALSE
## 4         FALSE
## 5         FALSE
## 6         FALSE
## 7         FALSE
## 8         FALSE
## 9         FALSE
## 10        FALSE
## 11        FALSE
## 12        FALSE
## 13        FALSE
## 14        FALSE
## 15        FALSE
## 16        FALSE
## 17        FALSE
## 18         TRUE
## 19         TRUE
## 20        FALSE
## 21         TRUE
## 22        FALSE
## 23         TRUE
## 24         TRUE
## 25        FALSE
## 26        FALSE
## 27        FALSE
## 28        FALSE
## 29        FALSE
## 30        FALSE
## 31        FALSE
## 32        FALSE
## 33        FALSE
## 34        FALSE
## 35        FALSE
## 36        FALSE
## 37        FALSE
## 38        FALSE
## 39        FALSE
## 40        FALSE
## 41        FALSE
## 42        FALSE
## 43        FALSE
## 44        FALSE
## 45        FALSE
## 46        FALSE
## 47        FALSE
## 48        FALSE
## 49        FALSE
## 50        FALSE
## 51        FALSE
## 52        FALSE
## 53        FALSE
## 54        FALSE
## 55        FALSE
## 56        FALSE
## 57        FALSE
## 58        FALSE
## 59        FALSE
## 60        FALSE
## 61        FALSE
## 62        FALSE
## 63        FALSE
## 64        FALSE
## 65        FALSE
## 66        FALSE
## 67        FALSE
## 68         TRUE
## 69        FALSE
## 70        FALSE
## 71        FALSE
## 72        FALSE
## 73        FALSE
## 74        FALSE
## 75         TRUE
## 76        FALSE
## 77        FALSE
## 78        FALSE
## 79        FALSE
## 80        FALSE
## 81        FALSE
## 82        FALSE
## 83        FALSE
## 84        FALSE
## 85         TRUE
## 86        FALSE
## 87        FALSE
## 88        FALSE
## 89        FALSE
## 90        FALSE
## 91        FALSE
## 92        FALSE
## 93        FALSE
## 94        FALSE
## 95        FALSE
## 96        FALSE
## 97        FALSE
## 98        FALSE
## 99        FALSE
## 100       FALSE
## 101       FALSE
## 102        TRUE
## 103       FALSE
## 104       FALSE
## 105       FALSE
## 106       FALSE
## 107       FALSE
## 108       FALSE
## 109       FALSE
## 110       FALSE
## 111       FALSE
## 112        TRUE
## 113        TRUE
## 114       FALSE
## 115        TRUE
## 116       FALSE
## 117        TRUE
## 118        TRUE
## 119        TRUE
## 120        TRUE
## 121        TRUE
## 122        TRUE
## 123       FALSE
## 124        TRUE
## 125       FALSE
## 126        TRUE
## 127       FALSE
## 128       FALSE
## 129       FALSE
## 130       FALSE
## 131        TRUE
## 132       FALSE
## 133        TRUE
## 134        TRUE
## 135        TRUE
## 136        TRUE
## 137       FALSE
## 138       FALSE
## 139       FALSE
## 140       FALSE
## 141       FALSE
## 142       FALSE
## 143       FALSE
## 144       FALSE
## 145       FALSE
## 146       FALSE
## 147       FALSE
## 148       FALSE
## 149       FALSE
## 150       FALSE
## 151       FALSE
## 152       FALSE
## 153       FALSE
## 154       FALSE
## 155       FALSE
## 156       FALSE
## 157       FALSE
## 158        TRUE
## 159       FALSE
## 160       FALSE
## 161       FALSE
## 162       FALSE
## 163       FALSE
## 164       FALSE
## 165       FALSE
## 166       FALSE
## 167       FALSE
## 168       FALSE
## 169       FALSE
## 170       FALSE
## 171        TRUE
## 172       FALSE
## 173       FALSE
## 174       FALSE
## 175       FALSE
## 176       FALSE
## 177       FALSE
## 178       FALSE
## 179       FALSE
## 180       FALSE
## 181       FALSE
## 182       FALSE
## 183       FALSE
## 184       FALSE
## 185       FALSE
## 186       FALSE
## 187       FALSE
## 188        TRUE
## 189       FALSE
## 190       FALSE
## 191       FALSE
## 192       FALSE
## 193       FALSE
## 194       FALSE
## 195       FALSE
## 196       FALSE
## 197       FALSE
## 198       FALSE
## 199       FALSE
## 200       FALSE
## 201       FALSE
## 202       FALSE
## 203       FALSE
## 204       FALSE
## 205       FALSE
## 206       FALSE
## 207       FALSE
## 208       FALSE
## 209       FALSE
## 210       FALSE
## 211       FALSE
## 212       FALSE
## 213       FALSE
## 214       FALSE
## 215       FALSE
## 216       FALSE
## 217       FALSE
## 218       FALSE
## 219       FALSE
## 220       FALSE
## 221       FALSE
## 222       FALSE
## 223       FALSE
## 224       FALSE
## 225       FALSE
## 226       FALSE
## 227        TRUE
## 228       FALSE
## 229       FALSE
## 230       FALSE
## 231       FALSE
## 232       FALSE
## 233       FALSE
## 234       FALSE
## 235       FALSE
## 236       FALSE
## 237       FALSE
## 238       FALSE
## 239       FALSE
## 240       FALSE
## 241       FALSE
## 242       FALSE
## 243       FALSE
## 244       FALSE
## 245       FALSE
## 246       FALSE
## 247       FALSE
## 248       FALSE
## 249       FALSE
## 250       FALSE
## 251       FALSE
## 252       FALSE
## 253       FALSE
## 254       FALSE
## 255       FALSE
## 256       FALSE
## 257       FALSE
## 258       FALSE
## 259       FALSE
## 260       FALSE
## 261       FALSE
## 262       FALSE
## 263       FALSE
## 264       FALSE
## 265       FALSE
## 266       FALSE
## 267       FALSE
## 268       FALSE
## 269       FALSE
## 270       FALSE
## 271       FALSE
## 272       FALSE
## 273       FALSE
## 274       FALSE
## 275       FALSE
## 276       FALSE
## 277       FALSE
## 278       FALSE
## 279       FALSE
## 280       FALSE
## 281       FALSE
## 282       FALSE
## 283       FALSE
## 284       FALSE
## 285       FALSE
## 286       FALSE
## 287       FALSE
## 288        TRUE
## 289       FALSE
## 290        TRUE
## 291        TRUE
## 292        TRUE
## 293        TRUE
## 294        TRUE
## 295       FALSE
## 296       FALSE
## 297       FALSE
## 298        TRUE
## 299       FALSE
## 300       FALSE
## 301       FALSE
## 302       FALSE
## 303       FALSE
## 304       FALSE
## 305       FALSE
## 306       FALSE
## 307       FALSE
## 308       FALSE
## 309       FALSE
## 310       FALSE
## 311       FALSE
## 312       FALSE
## 313       FALSE
## 314       FALSE
## 315       FALSE
## 316       FALSE
## 317        TRUE
## 318       FALSE
## 319       FALSE
## 320       FALSE
## 321        TRUE
## 322       FALSE
## 323        TRUE
## 324        TRUE
## 325        TRUE
## 326        TRUE
## 327        TRUE
## 328        TRUE
## 329        TRUE
## 330        TRUE
## 331        TRUE
## 332        TRUE
## 333        TRUE
## 334        TRUE
## 335        TRUE
## 336        TRUE
## 337        TRUE
## 338        TRUE
## 339        TRUE
## 340        TRUE
## 341        TRUE
## 342        TRUE
## 343        TRUE
## 344        TRUE
## 345        TRUE
## 346        TRUE
## 347        TRUE
## 348        TRUE
## 349        TRUE
## 350        TRUE
## 351       FALSE
## 352       FALSE
## 353       FALSE
## 354        TRUE
## 355        TRUE
## 356        TRUE
## 357       FALSE
## 358        TRUE
## 359        TRUE
## 360        TRUE
## 361       FALSE
## 362        TRUE
## 363        TRUE
## 364        TRUE
## 365        TRUE
## 366       FALSE
## 367       FALSE
## 368       FALSE
## 369        TRUE
## 370        TRUE
## 371       FALSE
## 372       FALSE
## 373       FALSE
## 374       FALSE
## 375       FALSE
## 376       FALSE
## 377        TRUE
## 378        TRUE
## 379       FALSE
## 380        TRUE
## 381       FALSE
## 382       FALSE
## 383       FALSE
## 384       FALSE
## 385       FALSE
## 386       FALSE
## 387       FALSE
## 388       FALSE
## 389       FALSE
## 390       FALSE
## 391        TRUE
## 392        TRUE
## 393       FALSE
## 394       FALSE
## 395       FALSE
## 396       FALSE
## 397       FALSE
## 398       FALSE
## 399       FALSE
## 400       FALSE
## 401       FALSE
## 402       FALSE
## 403       FALSE
## 404       FALSE
## 
## ===== AL MENOS UN MÉTODO =====
##     ID  Valor      Z_score outlier_Z outlier_IQR  Z_robusto outlier_MAD
## 1   18 303.42 -0.503282652     FALSE        TRUE -10.131233        TRUE
## 2   19 306.38 -0.472909714     FALSE        TRUE  -9.789075        TRUE
## 3   21 360.17  0.079036335     FALSE       FALSE  -3.571275        TRUE
## 4   23 358.77  0.064670756     FALSE       FALSE  -3.733107        TRUE
## 5   24 248.31 -1.068773389     FALSE        TRUE -16.501616        TRUE
## 6   68 357.98  0.056564465     FALSE       FALSE  -3.824426        TRUE
## 7   75  70.80 -2.890226135     FALSE        TRUE -37.020700        TRUE
## 8   85 344.91 -0.077548471     FALSE       FALSE  -5.335239        TRUE
## 9  102 262.76 -0.920500097     FALSE        TRUE -14.831283        TRUE
## 10 112 172.91 -1.842462404     FALSE        TRUE -25.217400        TRUE
## 11 113 169.27 -1.879812908     FALSE        TRUE -25.638162        TRUE
## 12 115 351.85 -0.006336246     FALSE       FALSE  -4.533017        TRUE
## 13 117 341.60 -0.111512803     FALSE       FALSE  -5.717855        TRUE
## 14 118 343.28 -0.094274109     FALSE       FALSE  -5.523657        TRUE
## 15 119 261.95 -0.928811610     FALSE        TRUE -14.924914        TRUE
## 16 120 321.02 -0.322686808     FALSE        TRUE  -8.096779        TRUE
## 17 121  88.01 -2.713632130     FALSE        TRUE -35.031328        TRUE
## 18 122  88.63 -2.707270231     FALSE        TRUE -34.959659        TRUE
## 19 124 353.89  0.014596454     FALSE       FALSE  -4.297205        TRUE
## 20 126 338.92 -0.139012625     FALSE        TRUE  -6.027647        TRUE
## 21 131 240.16 -1.152401578     FALSE        TRUE -17.443707        TRUE
## 22 133 227.61 -1.281178729     FALSE        TRUE -18.894411        TRUE
## 23 134 297.09 -0.568235589     FALSE        TRUE -10.862942        TRUE
## 24 135 292.29 -0.617489001     FALSE        TRUE -11.417793        TRUE
## 25 136 348.13 -0.044507641     FALSE       FALSE  -4.963027        TRUE
## 26 158 354.31  0.018906127     FALSE       FALSE  -4.248656        TRUE
## 27 171 348.93 -0.036298739     FALSE       FALSE  -4.870552        TRUE
## 28 188 360.20  0.079344169     FALSE       FALSE  -3.567808        TRUE
## 29 227 341.60 -0.111512803     FALSE       FALSE  -5.717855        TRUE
## 30 288 350.65 -0.018649599     FALSE       FALSE  -4.671730        TRUE
## 31 290 353.04  0.005874496     FALSE       FALSE  -4.395460        TRUE
## 32 291 354.55  0.021368798     FALSE       FALSE  -4.220913        TRUE
## 33 292 354.70  0.022907967     FALSE       FALSE  -4.203574        TRUE
## 34 293 316.03 -0.373889834     FALSE        TRUE  -8.673593        TRUE
## 35 294 131.42 -2.268196585     FALSE        TRUE -30.013394        TRUE
## 36 298 347.88 -0.047072922     FALSE       FALSE  -4.991925        TRUE
## 37 317 338.16 -0.146811082     FALSE        TRUE  -6.115498        TRUE
## 38 321 329.46 -0.236082891     FALSE        TRUE  -7.121166        TRUE
## 39 323 314.64 -0.388152801     FALSE        TRUE  -8.834268        TRUE
## 40 324   2.60 -3.590035031      TRUE        TRUE -44.904208        TRUE
## 41 325  35.05 -3.257061443      TRUE        TRUE -41.153184        TRUE
## 42 326  28.79 -3.321296102      TRUE        TRUE -41.876802        TRUE
## 43 327 210.97 -1.451923891     FALSE        TRUE -20.817894        TRUE
## 44 328  88.27 -2.710964237     FALSE        TRUE -35.001273        TRUE
## 45 329  27.25 -3.337098238      TRUE        TRUE -42.054817        TRUE
## 46 330  21.57 -3.395381442      TRUE        TRUE -42.711390        TRUE
## 47 331 127.36 -2.309856762     FALSE        TRUE -30.482705        TRUE
## 48 332  16.45 -3.447918415      TRUE        TRUE -43.303232        TRUE
## 49 333  48.45 -3.119562335      TRUE        TRUE -39.604225        TRUE
## 50 334 318.75 -0.345979567     FALSE        TRUE  -8.359177        TRUE
## 51 335 319.98 -0.333358380     FALSE        TRUE  -8.216997        TRUE
## 52 336 291.55 -0.625082235     FALSE        TRUE -11.503333        TRUE
## 53 337   2.52 -3.590855921      TRUE        TRUE -44.913455        TRUE
## 54 338   3.65 -3.579260847      TRUE        TRUE -44.782834        TRUE
## 55 339   7.68 -3.537908503      TRUE        TRUE -44.316991        TRUE
## 56 340  24.65 -3.363777169      TRUE        TRUE -42.355361        TRUE
## 57 341  18.82 -3.423599543      TRUE        TRUE -43.029274        TRUE
## 58 342  60.72 -2.993658300     FALSE        TRUE -38.185887        TRUE
## 59 343  83.45 -2.760422872     FALSE        TRUE -35.558436        TRUE
## 60 344  81.33 -2.782176462     FALSE        TRUE -35.803495        TRUE
## 61 345  97.95 -2.611636523     FALSE        TRUE -33.882324        TRUE
## 62 346 100.19 -2.588651597     FALSE        TRUE -33.623393        TRUE
## 63 347 100.63 -2.584136701     FALSE        TRUE -33.572532        TRUE
## 64 348 109.85 -2.489529105     FALSE        TRUE -32.506756        TRUE
## 65 349  27.49 -3.334635567      TRUE        TRUE -42.027074        TRUE
## 66 350  68.95 -2.909209220     FALSE        TRUE -37.234549        TRUE
## 67 354 240.52 -1.148707573     FALSE        TRUE -17.402093        TRUE
## 68 355  43.06 -3.174869812      TRUE        TRUE -40.227276        TRUE
## 69 356 318.01 -0.353572801     FALSE        TRUE  -8.444717        TRUE
## 70 358 304.21 -0.495176361     FALSE        TRUE -10.039913        TRUE
## 71 359   0.32 -3.613430402      TRUE        TRUE -45.167762        TRUE
## 72 360 355.29  0.028962032     FALSE       FALSE  -4.135374        TRUE
## 73 362   6.68 -3.548169631      TRUE        TRUE -44.432585        TRUE
## 74 363  50.92 -3.094217350      TRUE        TRUE -39.318708        TRUE
## 75 364  10.48 -3.509177346      TRUE        TRUE -43.993327        TRUE
## 76 365   3.50 -3.580800016      TRUE        TRUE -44.800173        TRUE
## 77 369 334.40 -0.185392921     FALSE        TRUE  -6.550132        TRUE
## 78 370  22.01 -3.390866546      TRUE        TRUE -42.660529        TRUE
## 79 377 352.58  0.001154377     FALSE       FALSE  -4.448634        TRUE
## 80 378 302.76 -0.510054996     FALSE        TRUE -10.207525        TRUE
## 81 380 349.48 -0.030655118     FALSE       FALSE  -4.806975        TRUE
## 82 391 344.05 -0.086373041     FALSE       FALSE  -5.434650        TRUE
## 83 392 318.43 -0.349263128     FALSE        TRUE  -8.396167        TRUE
##    metodos_evaluados numero_metodos
## 1                  3              2
## 2                  3              2
## 3                  3              1
## 4                  3              1
## 5                  3              2
## 6                  3              1
## 7                  3              2
## 8                  3              1
## 9                  3              2
## 10                 3              2
## 11                 3              2
## 12                 3              1
## 13                 3              1
## 14                 3              1
## 15                 3              2
## 16                 3              2
## 17                 3              2
## 18                 3              2
## 19                 3              1
## 20                 3              2
## 21                 3              2
## 22                 3              2
## 23                 3              2
## 24                 3              2
## 25                 3              1
## 26                 3              1
## 27                 3              1
## 28                 3              1
## 29                 3              1
## 30                 3              1
## 31                 3              1
## 32                 3              1
## 33                 3              1
## 34                 3              2
## 35                 3              2
## 36                 3              1
## 37                 3              2
## 38                 3              2
## 39                 3              2
## 40                 3              3
## 41                 3              3
## 42                 3              3
## 43                 3              2
## 44                 3              2
## 45                 3              3
## 46                 3              3
## 47                 3              2
## 48                 3              3
## 49                 3              3
## 50                 3              2
## 51                 3              2
## 52                 3              2
## 53                 3              3
## 54                 3              3
## 55                 3              3
## 56                 3              3
## 57                 3              3
## 58                 3              2
## 59                 3              2
## 60                 3              2
## 61                 3              2
## 62                 3              2
## 63                 3              2
## 64                 3              2
## 65                 3              3
## 66                 3              2
## 67                 3              2
## 68                 3              3
## 69                 3              2
## 70                 3              2
## 71                 3              3
## 72                 3              1
## 73                 3              3
## 74                 3              3
## 75                 3              3
## 76                 3              3
## 77                 3              2
## 78                 3              3
## 79                 3              1
## 80                 3              2
## 81                 3              1
## 82                 3              1
## 83                 3              2
## 
## ===== AL MENOS DOS MÉTODOS =====
##     ID  Valor    Z_score outlier_Z outlier_IQR  Z_robusto outlier_MAD
## 1   18 303.42 -0.5032827     FALSE        TRUE -10.131233        TRUE
## 2   19 306.38 -0.4729097     FALSE        TRUE  -9.789075        TRUE
## 3   24 248.31 -1.0687734     FALSE        TRUE -16.501616        TRUE
## 4   75  70.80 -2.8902261     FALSE        TRUE -37.020700        TRUE
## 5  102 262.76 -0.9205001     FALSE        TRUE -14.831283        TRUE
## 6  112 172.91 -1.8424624     FALSE        TRUE -25.217400        TRUE
## 7  113 169.27 -1.8798129     FALSE        TRUE -25.638162        TRUE
## 8  119 261.95 -0.9288116     FALSE        TRUE -14.924914        TRUE
## 9  120 321.02 -0.3226868     FALSE        TRUE  -8.096779        TRUE
## 10 121  88.01 -2.7136321     FALSE        TRUE -35.031328        TRUE
## 11 122  88.63 -2.7072702     FALSE        TRUE -34.959659        TRUE
## 12 126 338.92 -0.1390126     FALSE        TRUE  -6.027647        TRUE
## 13 131 240.16 -1.1524016     FALSE        TRUE -17.443707        TRUE
## 14 133 227.61 -1.2811787     FALSE        TRUE -18.894411        TRUE
## 15 134 297.09 -0.5682356     FALSE        TRUE -10.862942        TRUE
## 16 135 292.29 -0.6174890     FALSE        TRUE -11.417793        TRUE
## 17 293 316.03 -0.3738898     FALSE        TRUE  -8.673593        TRUE
## 18 294 131.42 -2.2681966     FALSE        TRUE -30.013394        TRUE
## 19 317 338.16 -0.1468111     FALSE        TRUE  -6.115498        TRUE
## 20 321 329.46 -0.2360829     FALSE        TRUE  -7.121166        TRUE
## 21 323 314.64 -0.3881528     FALSE        TRUE  -8.834268        TRUE
## 22 324   2.60 -3.5900350      TRUE        TRUE -44.904208        TRUE
## 23 325  35.05 -3.2570614      TRUE        TRUE -41.153184        TRUE
## 24 326  28.79 -3.3212961      TRUE        TRUE -41.876802        TRUE
## 25 327 210.97 -1.4519239     FALSE        TRUE -20.817894        TRUE
## 26 328  88.27 -2.7109642     FALSE        TRUE -35.001273        TRUE
## 27 329  27.25 -3.3370982      TRUE        TRUE -42.054817        TRUE
## 28 330  21.57 -3.3953814      TRUE        TRUE -42.711390        TRUE
## 29 331 127.36 -2.3098568     FALSE        TRUE -30.482705        TRUE
## 30 332  16.45 -3.4479184      TRUE        TRUE -43.303232        TRUE
## 31 333  48.45 -3.1195623      TRUE        TRUE -39.604225        TRUE
## 32 334 318.75 -0.3459796     FALSE        TRUE  -8.359177        TRUE
## 33 335 319.98 -0.3333584     FALSE        TRUE  -8.216997        TRUE
## 34 336 291.55 -0.6250822     FALSE        TRUE -11.503333        TRUE
## 35 337   2.52 -3.5908559      TRUE        TRUE -44.913455        TRUE
## 36 338   3.65 -3.5792608      TRUE        TRUE -44.782834        TRUE
## 37 339   7.68 -3.5379085      TRUE        TRUE -44.316991        TRUE
## 38 340  24.65 -3.3637772      TRUE        TRUE -42.355361        TRUE
## 39 341  18.82 -3.4235995      TRUE        TRUE -43.029274        TRUE
## 40 342  60.72 -2.9936583     FALSE        TRUE -38.185887        TRUE
## 41 343  83.45 -2.7604229     FALSE        TRUE -35.558436        TRUE
## 42 344  81.33 -2.7821765     FALSE        TRUE -35.803495        TRUE
## 43 345  97.95 -2.6116365     FALSE        TRUE -33.882324        TRUE
## 44 346 100.19 -2.5886516     FALSE        TRUE -33.623393        TRUE
## 45 347 100.63 -2.5841367     FALSE        TRUE -33.572532        TRUE
## 46 348 109.85 -2.4895291     FALSE        TRUE -32.506756        TRUE
## 47 349  27.49 -3.3346356      TRUE        TRUE -42.027074        TRUE
## 48 350  68.95 -2.9092092     FALSE        TRUE -37.234549        TRUE
## 49 354 240.52 -1.1487076     FALSE        TRUE -17.402093        TRUE
## 50 355  43.06 -3.1748698      TRUE        TRUE -40.227276        TRUE
## 51 356 318.01 -0.3535728     FALSE        TRUE  -8.444717        TRUE
## 52 358 304.21 -0.4951764     FALSE        TRUE -10.039913        TRUE
## 53 359   0.32 -3.6134304      TRUE        TRUE -45.167762        TRUE
## 54 362   6.68 -3.5481696      TRUE        TRUE -44.432585        TRUE
## 55 363  50.92 -3.0942173      TRUE        TRUE -39.318708        TRUE
## 56 364  10.48 -3.5091773      TRUE        TRUE -43.993327        TRUE
## 57 365   3.50 -3.5808000      TRUE        TRUE -44.800173        TRUE
## 58 369 334.40 -0.1853929     FALSE        TRUE  -6.550132        TRUE
## 59 370  22.01 -3.3908665      TRUE        TRUE -42.660529        TRUE
## 60 378 302.76 -0.5100550     FALSE        TRUE -10.207525        TRUE
## 61 392 318.43 -0.3492631     FALSE        TRUE  -8.396167        TRUE
##    metodos_evaluados numero_metodos
## 1                  3              2
## 2                  3              2
## 3                  3              2
## 4                  3              2
## 5                  3              2
## 6                  3              2
## 7                  3              2
## 8                  3              2
## 9                  3              2
## 10                 3              2
## 11                 3              2
## 12                 3              2
## 13                 3              2
## 14                 3              2
## 15                 3              2
## 16                 3              2
## 17                 3              2
## 18                 3              2
## 19                 3              2
## 20                 3              2
## 21                 3              2
## 22                 3              3
## 23                 3              3
## 24                 3              3
## 25                 3              2
## 26                 3              2
## 27                 3              3
## 28                 3              3
## 29                 3              2
## 30                 3              3
## 31                 3              3
## 32                 3              2
## 33                 3              2
## 34                 3              2
## 35                 3              3
## 36                 3              3
## 37                 3              3
## 38                 3              3
## 39                 3              3
## 40                 3              2
## 41                 3              2
## 42                 3              2
## 43                 3              2
## 44                 3              2
## 45                 3              2
## 46                 3              2
## 47                 3              3
## 48                 3              2
## 49                 3              2
## 50                 3              3
## 51                 3              2
## 52                 3              2
## 53                 3              3
## 54                 3              3
## 55                 3              3
## 56                 3              3
## 57                 3              3
## 58                 3              2
## 59                 3              3
## 60                 3              2
## 61                 3              2
## 
## ===== LOS TRES MÉTODOS =====
##     ID Valor   Z_score Z_robusto
## 1  324  2.60 -3.590035 -44.90421
## 2  325 35.05 -3.257061 -41.15318
## 3  326 28.79 -3.321296 -41.87680
## 4  329 27.25 -3.337098 -42.05482
## 5  330 21.57 -3.395381 -42.71139
## 6  332 16.45 -3.447918 -43.30323
## 7  333 48.45 -3.119562 -39.60422
## 8  337  2.52 -3.590856 -44.91346
## 9  338  3.65 -3.579261 -44.78283
## 10 339  7.68 -3.537909 -44.31699
## 11 340 24.65 -3.363777 -42.35536
## 12 341 18.82 -3.423600 -43.02927
## 13 349 27.49 -3.334636 -42.02707
## 14 355 43.06 -3.174870 -40.22728
## 15 359  0.32 -3.613430 -45.16776
## 16 362  6.68 -3.548170 -44.43258
## 17 363 50.92 -3.094217 -39.31871
## 18 364 10.48 -3.509177 -43.99333
## 19 365  3.50 -3.580800 -44.80017
## 20 370 22.01 -3.390867 -42.66053
## 
## ================ RESUMEN ================
##  Variable        Metodo N_evaluados N_outliers Porcentaje
##     black       Z-score         404         20       4.95
##     black           IQR         404         61      15.10
##     black Tukey extremo         404         49      12.13
##     black           MAD         404         83      20.54
## Warning: No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.

## 
## ================ CLASIFICACIÓN FINAL ================
##     ID  Valor      Z_score  Z_robusto metodos_evaluados numero_metodos
## 1   18 303.42 -0.503282652 -10.131233                 3              2
## 2   19 306.38 -0.472909714  -9.789075                 3              2
## 3   21 360.17  0.079036335  -3.571275                 3              1
## 4   23 358.77  0.064670756  -3.733107                 3              1
## 5   24 248.31 -1.068773389 -16.501616                 3              2
## 6   68 357.98  0.056564465  -3.824426                 3              1
## 7   75  70.80 -2.890226135 -37.020700                 3              2
## 8   85 344.91 -0.077548471  -5.335239                 3              1
## 9  102 262.76 -0.920500097 -14.831283                 3              2
## 10 112 172.91 -1.842462404 -25.217400                 3              2
## 11 113 169.27 -1.879812908 -25.638162                 3              2
## 12 115 351.85 -0.006336246  -4.533017                 3              1
## 13 117 341.60 -0.111512803  -5.717855                 3              1
## 14 118 343.28 -0.094274109  -5.523657                 3              1
## 15 119 261.95 -0.928811610 -14.924914                 3              2
## 16 120 321.02 -0.322686808  -8.096779                 3              2
## 17 121  88.01 -2.713632130 -35.031328                 3              2
## 18 122  88.63 -2.707270231 -34.959659                 3              2
## 19 124 353.89  0.014596454  -4.297205                 3              1
## 20 126 338.92 -0.139012625  -6.027647                 3              2
## 21 131 240.16 -1.152401578 -17.443707                 3              2
## 22 133 227.61 -1.281178729 -18.894411                 3              2
## 23 134 297.09 -0.568235589 -10.862942                 3              2
## 24 135 292.29 -0.617489001 -11.417793                 3              2
## 25 136 348.13 -0.044507641  -4.963027                 3              1
## 26 158 354.31  0.018906127  -4.248656                 3              1
## 27 171 348.93 -0.036298739  -4.870552                 3              1
## 28 188 360.20  0.079344169  -3.567808                 3              1
## 29 227 341.60 -0.111512803  -5.717855                 3              1
## 30 288 350.65 -0.018649599  -4.671730                 3              1
## 31 290 353.04  0.005874496  -4.395460                 3              1
## 32 291 354.55  0.021368798  -4.220913                 3              1
## 33 292 354.70  0.022907967  -4.203574                 3              1
## 34 293 316.03 -0.373889834  -8.673593                 3              2
## 35 294 131.42 -2.268196585 -30.013394                 3              2
## 36 298 347.88 -0.047072922  -4.991925                 3              1
## 37 317 338.16 -0.146811082  -6.115498                 3              2
## 38 321 329.46 -0.236082891  -7.121166                 3              2
## 39 323 314.64 -0.388152801  -8.834268                 3              2
## 40 324   2.60 -3.590035031 -44.904208                 3              3
## 41 325  35.05 -3.257061443 -41.153184                 3              3
## 42 326  28.79 -3.321296102 -41.876802                 3              3
## 43 327 210.97 -1.451923891 -20.817894                 3              2
## 44 328  88.27 -2.710964237 -35.001273                 3              2
## 45 329  27.25 -3.337098238 -42.054817                 3              3
## 46 330  21.57 -3.395381442 -42.711390                 3              3
## 47 331 127.36 -2.309856762 -30.482705                 3              2
## 48 332  16.45 -3.447918415 -43.303232                 3              3
## 49 333  48.45 -3.119562335 -39.604225                 3              3
## 50 334 318.75 -0.345979567  -8.359177                 3              2
## 51 335 319.98 -0.333358380  -8.216997                 3              2
## 52 336 291.55 -0.625082235 -11.503333                 3              2
## 53 337   2.52 -3.590855921 -44.913455                 3              3
## 54 338   3.65 -3.579260847 -44.782834                 3              3
## 55 339   7.68 -3.537908503 -44.316991                 3              3
## 56 340  24.65 -3.363777169 -42.355361                 3              3
## 57 341  18.82 -3.423599543 -43.029274                 3              3
## 58 342  60.72 -2.993658300 -38.185887                 3              2
## 59 343  83.45 -2.760422872 -35.558436                 3              2
## 60 344  81.33 -2.782176462 -35.803495                 3              2
## 61 345  97.95 -2.611636523 -33.882324                 3              2
## 62 346 100.19 -2.588651597 -33.623393                 3              2
## 63 347 100.63 -2.584136701 -33.572532                 3              2
## 64 348 109.85 -2.489529105 -32.506756                 3              2
## 65 349  27.49 -3.334635567 -42.027074                 3              3
## 66 350  68.95 -2.909209220 -37.234549                 3              2
## 67 354 240.52 -1.148707573 -17.402093                 3              2
## 68 355  43.06 -3.174869812 -40.227276                 3              3
## 69 356 318.01 -0.353572801  -8.444717                 3              2
## 70 358 304.21 -0.495176361 -10.039913                 3              2
## 71 359   0.32 -3.613430402 -45.167762                 3              3
## 72 360 355.29  0.028962032  -4.135374                 3              1
## 73 362   6.68 -3.548169631 -44.432585                 3              3
## 74 363  50.92 -3.094217350 -39.318708                 3              3
## 75 364  10.48 -3.509177346 -43.993327                 3              3
## 76 365   3.50 -3.580800016 -44.800173                 3              3
## 77 369 334.40 -0.185392921  -6.550132                 3              2
## 78 370  22.01 -3.390866546 -42.660529                 3              3
## 79 377 352.58  0.001154377  -4.448634                 3              1
## 80 378 302.76 -0.510054996 -10.207525                 3              2
## 81 380 349.48 -0.030655118  -4.806975                 3              1
## 82 391 344.05 -0.086373041  -5.434650                 3              1
## 83 392 318.43 -0.349263128  -8.396167                 3              2
##              clasificacion
## 1  Outlier según 2 métodos
## 2  Outlier según 2 métodos
## 3   Outlier según 1 método
## 4   Outlier según 1 método
## 5  Outlier según 2 métodos
## 6   Outlier según 1 método
## 7  Outlier según 2 métodos
## 8   Outlier según 1 método
## 9  Outlier según 2 métodos
## 10 Outlier según 2 métodos
## 11 Outlier según 2 métodos
## 12  Outlier según 1 método
## 13  Outlier según 1 método
## 14  Outlier según 1 método
## 15 Outlier según 2 métodos
## 16 Outlier según 2 métodos
## 17 Outlier según 2 métodos
## 18 Outlier según 2 métodos
## 19  Outlier según 1 método
## 20 Outlier según 2 métodos
## 21 Outlier según 2 métodos
## 22 Outlier según 2 métodos
## 23 Outlier según 2 métodos
## 24 Outlier según 2 métodos
## 25  Outlier según 1 método
## 26  Outlier según 1 método
## 27  Outlier según 1 método
## 28  Outlier según 1 método
## 29  Outlier según 1 método
## 30  Outlier según 1 método
## 31  Outlier según 1 método
## 32  Outlier según 1 método
## 33  Outlier según 1 método
## 34 Outlier según 2 métodos
## 35 Outlier según 2 métodos
## 36  Outlier según 1 método
## 37 Outlier según 2 métodos
## 38 Outlier según 2 métodos
## 39 Outlier según 2 métodos
## 40 Outlier según 3 métodos
## 41 Outlier según 3 métodos
## 42 Outlier según 3 métodos
## 43 Outlier según 2 métodos
## 44 Outlier según 2 métodos
## 45 Outlier según 3 métodos
## 46 Outlier según 3 métodos
## 47 Outlier según 2 métodos
## 48 Outlier según 3 métodos
## 49 Outlier según 3 métodos
## 50 Outlier según 2 métodos
## 51 Outlier según 2 métodos
## 52 Outlier según 2 métodos
## 53 Outlier según 3 métodos
## 54 Outlier según 3 métodos
## 55 Outlier según 3 métodos
## 56 Outlier según 3 métodos
## 57 Outlier según 3 métodos
## 58 Outlier según 2 métodos
## 59 Outlier según 2 métodos
## 60 Outlier según 2 métodos
## 61 Outlier según 2 métodos
## 62 Outlier según 2 métodos
## 63 Outlier según 2 métodos
## 64 Outlier según 2 métodos
## 65 Outlier según 3 métodos
## 66 Outlier según 2 métodos
## 67 Outlier según 2 métodos
## 68 Outlier según 3 métodos
## 69 Outlier según 2 métodos
## 70 Outlier según 2 métodos
## 71 Outlier según 3 métodos
## 72  Outlier según 1 método
## 73 Outlier según 3 métodos
## 74 Outlier según 3 métodos
## 75 Outlier según 3 métodos
## 76 Outlier según 3 métodos
## 77 Outlier según 2 métodos
## 78 Outlier según 3 métodos
## 79  Outlier según 1 método
## 80 Outlier según 2 métodos
## 81  Outlier según 1 método
## 82  Outlier según 1 método
## 83 Outlier según 2 métodos
## 
## ========================================
##  VARIABLE: lstat 
## ========================================
## 
## ================ MÉTODO Z ================
## Límite inferior = -8.569252 
## Límite superior = 33.66054 
## Número de outliers = 5 
##    ID Valor  Z_score
## 1 299 34.77 3.157632
## 2 300 37.97 3.612287
## 3 326 34.37 3.100800
## 4 328 36.98 3.471628
## 5 350 34.02 3.051072
## 
## ================ MÉTODO IQR ================
## Q1 = 6.915 
## Q3 = 16.605 
## IQR = 9.69 
## Límite inferior = -7.62 
## Límite superior = 31.14 
## Número de outliers = 6 
##    ID Valor
## 1 299 34.77
## 2 300 37.97
## 3 309 31.99
## 4 326 34.37
## 5 328 36.98
## 6 350 34.02
## 
## =========== OUTLIERS EXTREMOS TUKEY ===========
## Límite inferior = -22.155 
## Límite superior = 45.675 
## Número de outliers extremos = 0 
## [1] ID    Valor
## <0 rows> (o 0- extensión row.names)
## 
## ================ MÉTODO MAD ================
## Mediana = 11.395 
## MAD = 4.76 
## MAD ajustada = 7.057176 
## Número de outliers = 2 
##    ID Valor Z_robusto
## 1 300 37.97  3.765671
## 2 328 36.98  3.625388
## 
## ================ COMPARACIÓN ================
##      ID Valor      Z_score outlier_Z outlier_IQR outlier_extremo    Z_robusto
## 1     1  4.98 -1.074925092     FALSE       FALSE           FALSE -0.909003828
## 2     2  9.14 -0.483873142     FALSE       FALSE           FALSE -0.319532912
## 3     3  4.03 -1.209900898     FALSE       FALSE           FALSE -1.043618581
## 4     4  2.94 -1.364767875     FALSE       FALSE           FALSE -1.198071297
## 5     5  5.21 -1.042246739     FALSE       FALSE           FALSE -0.876412888
## 6     6 19.15  0.938345613     FALSE       FALSE           FALSE  1.098881479
## 7     7 29.93  2.469965811     FALSE       FALSE           FALSE  2.626404670
## 8     8 17.10  0.647082032     FALSE       FALSE           FALSE  0.808397013
## 9     9 20.45  1.123049347     FALSE       FALSE           FALSE  1.283091140
## 10   10 13.27  0.102916414     FALSE       FALSE           FALSE  0.265687011
## 11   11  8.26 -0.608903362     FALSE       FALSE           FALSE -0.444228683
## 12   12 10.26 -0.324743771     FALSE       FALSE           FALSE -0.160829204
## 13   13 14.67  0.301828128     FALSE       FALSE           FALSE  0.464066646
## 14   14 11.28 -0.179822379     FALSE       FALSE           FALSE -0.016295470
## 15   15 13.83  0.182481100     FALSE       FALSE           FALSE  0.345038865
## 16   16 19.88  1.042063864     FALSE       FALSE           FALSE  1.202322289
## 17   17 16.30  0.533418195     FALSE       FALSE           FALSE  0.695037222
## 18   18 16.51  0.563254952     FALSE       FALSE           FALSE  0.724794167
## 19   19 17.28  0.672656395     FALSE       FALSE           FALSE  0.833902966
## 20   20 11.98 -0.080366522     FALSE       FALSE           FALSE  0.082894348
## 21   21 22.60  1.428520908     FALSE       FALSE           FALSE  1.587745580
## 22   22 13.04  0.070238061     FALSE       FALSE           FALSE  0.233096071
## 23   23 18.35  0.824681776     FALSE       FALSE           FALSE  0.985521687
## 24   24 20.34  1.107420570     FALSE       FALSE           FALSE  1.267504169
## 25   25  9.68 -0.407150052     FALSE       FALSE           FALSE -0.243015053
## 26   26 11.41 -0.161352006     FALSE       FALSE           FALSE  0.002125496
## 27   27 10.13 -0.343214144     FALSE       FALSE           FALSE -0.179250170
## 28   28  4.84 -1.094816263     FALSE       FALSE           FALSE -0.928841792
## 29   29  5.81 -0.956998861     FALSE       FALSE           FALSE -0.791393044
## 30   30 10.21 -0.331847760     FALSE       FALSE           FALSE -0.167914191
## 31   31 14.15  0.227946635     FALSE       FALSE           FALSE  0.390382782
## 32   32 16.20  0.519210216     FALSE       FALSE           FALSE  0.680867248
## 33   33 13.45  0.128490778     FALSE       FALSE           FALSE  0.291192964
## 34   34 14.80  0.320298502     FALSE       FALSE           FALSE  0.482487613
## 35   35  4.81 -1.099078657     FALSE       FALSE           FALSE -0.933092784
## 36   36  5.77 -0.962682053     FALSE       FALSE           FALSE -0.797061034
## 37   37  3.95 -1.221267281     FALSE       FALSE           FALSE -1.054954560
## 38   38  6.86 -0.807815076     FALSE       FALSE           FALSE -0.642608318
## 39   39 14.44  0.269149775     FALSE       FALSE           FALSE  0.431475706
## 40   40  6.73 -0.826285449     FALSE       FALSE           FALSE -0.661029284
## 41   41  8.05 -0.638740119     FALSE       FALSE           FALSE -0.473985628
## 42   42  4.67 -1.118969829     FALSE       FALSE           FALSE -0.952930747
## 43   43 10.24 -0.327585367     FALSE       FALSE           FALSE -0.163663199
## 44   44  8.10 -0.631636129     FALSE       FALSE           FALSE -0.466900641
## 45   45  8.79 -0.533601070     FALSE       FALSE           FALSE -0.369127821
## 46   46  6.72 -0.827706247     FALSE       FALSE           FALSE -0.662446282
## 47   47  5.52 -0.998202002     FALSE       FALSE           FALSE -0.832485969
## 48   48  7.54 -0.711200815     FALSE       FALSE           FALSE -0.546252495
## 49   49  6.78 -0.819181460     FALSE       FALSE           FALSE -0.653944297
## 50   50  8.94 -0.512289101     FALSE       FALSE           FALSE -0.347872860
## 51   51 11.97 -0.081787320     FALSE       FALSE           FALSE  0.081477350
## 52   52 10.27 -0.323322973     FALSE       FALSE           FALSE -0.159412207
## 53   53  9.10 -0.489556334     FALSE       FALSE           FALSE -0.325200902
## 54   54  5.29 -1.030880355     FALSE       FALSE           FALSE -0.865076909
## 55   55  7.22 -0.756666350     FALSE       FALSE           FALSE -0.591596412
## 56   56  6.72 -0.827706247     FALSE       FALSE           FALSE -0.662446282
## 57   57  9.62 -0.415674840     FALSE       FALSE           FALSE -0.251517037
## 58   58  6.53 -0.854701409     FALSE       FALSE           FALSE -0.689369232
## 59   59 12.86  0.044663698     FALSE       FALSE           FALSE  0.207590118
## 60   60  8.44 -0.583328999     FALSE       FALSE           FALSE -0.418722730
## 61   61  5.50 -1.001043598     FALSE       FALSE           FALSE -0.835319964
## 62   62  5.70 -0.972627639     FALSE       FALSE           FALSE -0.806980016
## 63   63  8.81 -0.530759474     FALSE       FALSE           FALSE -0.366293826
## 64   64  8.20 -0.617428150     FALSE       FALSE           FALSE -0.452730667
## 65   65  8.16 -0.623111342     FALSE       FALSE           FALSE -0.458398657
## 66   66  6.21 -0.900166943     FALSE       FALSE           FALSE -0.734713149
## 67   67 10.59 -0.277857438     FALSE       FALSE           FALSE -0.114068290
## 68   68  6.65 -0.837651833     FALSE       FALSE           FALSE -0.672365263
## 69   69 11.34 -0.171297591     FALSE       FALSE           FALSE -0.007793486
## 70   70  4.21 -1.184326535     FALSE       FALSE           FALSE -1.018112627
## 71   71  3.57 -1.275257604     FALSE       FALSE           FALSE -1.108800461
## 72   72  6.19 -0.903008539     FALSE       FALSE           FALSE -0.737547144
## 73   73  9.42 -0.444090799     FALSE       FALSE           FALSE -0.279856985
## 74   74  7.67 -0.692730441     FALSE       FALSE           FALSE -0.527831529
## 75   75 10.63 -0.272174246     FALSE       FALSE           FALSE -0.108400301
## 76   76 13.44  0.127069980     FALSE       FALSE           FALSE  0.289775967
## 77   77 12.33 -0.030638594     FALSE       FALSE           FALSE  0.132489256
## 78   78 16.47  0.557571761     FALSE       FALSE           FALSE  0.719126177
## 79   79 14.09  0.219421847     FALSE       FALSE           FALSE  0.381880798
## 80   80 13.00  0.064554870     FALSE       FALSE           FALSE  0.227428082
## 81   81 10.16 -0.338951750     FALSE       FALSE           FALSE -0.174999178
## 82   82 16.21  0.520631014     FALSE       FALSE           FALSE  0.682284245
## 83   83 17.09  0.645661234     FALSE       FALSE           FALSE  0.806980016
## 84   84 10.45 -0.297748609     FALSE       FALSE           FALSE -0.133906254
## 85   85 15.76  0.456695106     FALSE       FALSE           FALSE  0.618519362
## 86   86 12.04 -0.071841734     FALSE       FALSE           FALSE  0.091396332
## 87   87 10.30 -0.319060579     FALSE       FALSE           FALSE -0.155161215
## 88   88 13.61  0.151223545     FALSE       FALSE           FALSE  0.313864923
## 89   89 14.37  0.259204190     FALSE       FALSE           FALSE  0.421556725
## 90   90 14.27  0.244996210     FALSE       FALSE           FALSE  0.407386751
## 91   91 17.93  0.765008262     FALSE       FALSE           FALSE  0.926007797
## 92   92 25.41  1.827765134     FALSE       FALSE           FALSE  1.985921847
## 93   93 17.58  0.715280334     FALSE       FALSE           FALSE  0.876412888
## 94   94 14.81  0.321719300     FALSE       FALSE           FALSE  0.483904610
## 95   95 17.19  0.659869213     FALSE       FALSE           FALSE  0.821149990
## 96   96 15.39  0.404125581     FALSE       FALSE           FALSE  0.566090459
## 97   97 18.34  0.823260979     FALSE       FALSE           FALSE  0.984104690
## 98   98 12.60  0.007722951     FALSE       FALSE           FALSE  0.170748186
## 99   99 12.26 -0.040584179     FALSE       FALSE           FALSE  0.122570275
## 100 100 11.12 -0.202555146     FALSE       FALSE           FALSE -0.038967428
## 101 101 15.03  0.352976855     FALSE       FALSE           FALSE  0.515078553
## 102 102 17.31  0.676918789     FALSE       FALSE           FALSE  0.838153958
## 103 103 16.96  0.627190860     FALSE       FALSE           FALSE  0.788559050
## 104 104 16.90  0.618666073     FALSE       FALSE           FALSE  0.780057065
## 105 105 14.59  0.290461745     FALSE       FALSE           FALSE  0.452730667
## 106 106 21.32  1.246658770     FALSE       FALSE           FALSE  1.406369913
## 107 107 18.46  0.840310554     FALSE       FALSE           FALSE  1.001108659
## 108 108 24.16  1.650165389     FALSE       FALSE           FALSE  1.808797173
## 109 109 26.82  2.028097646     FALSE       FALSE           FALSE  2.185718480
## 110 110 26.42  1.971265728     FALSE       FALSE           FALSE  2.129038584
## 111 111 29.29  2.379034741     FALSE       FALSE           FALSE  2.535716836
## 112 112 27.80  2.167335846     FALSE       FALSE           FALSE  2.324584225
## 113 113 16.65  0.583146124     FALSE       FALSE           FALSE  0.744632130
## 114 114 29.53  2.413133892     FALSE       FALSE           FALSE  2.569724774
## 115 115 21.45  1.265129143     FALSE       FALSE           FALSE  1.424790880
## 116 116 14.10  0.220842645     FALSE       FALSE           FALSE  0.383297795
## 117 117 13.28  0.104337212     FALSE       FALSE           FALSE  0.267104009
## 118 118 12.12 -0.060475351     FALSE       FALSE           FALSE  0.102732311
## 119 119 15.79  0.460957500     FALSE       FALSE           FALSE  0.622770355
## 120 120 15.12  0.365764036     FALSE       FALSE           FALSE  0.527831529
## 121 121 15.02  0.351556057     FALSE       FALSE           FALSE  0.513661555
## 122 122 16.14  0.510685428     FALSE       FALSE           FALSE  0.672365263
## 123 123  4.59 -1.130336212     FALSE       FALSE           FALSE -0.964266727
## 124 124  6.43 -0.868909388     FALSE       FALSE           FALSE -0.703539206
## 125 125  7.39 -0.732512784     FALSE       FALSE           FALSE -0.567507456
## 126 126  5.50 -1.001043598     FALSE       FALSE           FALSE -0.835319964
## 127 127  1.73 -1.536684428     FALSE       FALSE           FALSE -1.369527981
## 128 128  1.92 -1.509689267     FALSE       FALSE           FALSE -1.342605031
## 129 129  3.32 -1.310777553     FALSE       FALSE           FALSE -1.144225396
## 130 130 11.64 -0.128673653     FALSE       FALSE           FALSE  0.034716436
## 131 131  9.81 -0.388679679     FALSE       FALSE           FALSE -0.224594087
## 132 132  3.70 -1.256787230     FALSE       FALSE           FALSE -1.090379495
## 133 133 12.14 -0.057633755     FALSE       FALSE           FALSE  0.105566306
## 134 134 11.10 -0.205396742     FALSE       FALSE           FALSE -0.041801423
## 135 135 14.43  0.267728977     FALSE       FALSE           FALSE  0.430058709
## 136 136 12.03 -0.073262532     FALSE       FALSE           FALSE  0.089979335
## 137 137 14.69  0.304669724     FALSE       FALSE           FALSE  0.466900641
## 138 138  9.04 -0.498081121     FALSE       FALSE           FALSE -0.333702886
## 139 139  9.64 -0.412833244     FALSE       FALSE           FALSE -0.248683043
## 140 140  5.33 -1.025197163     FALSE       FALSE           FALSE -0.859408919
## 141 141 10.11 -0.346055740     FALSE       FALSE           FALSE -0.182084165
## 142 142  6.92 -0.799290288     FALSE       FALSE           FALSE -0.634106334
## 143 143  5.04 -1.066400304     FALSE       FALSE           FALSE -0.900501844
## 144 144  7.56 -0.708359219     FALSE       FALSE           FALSE -0.543418501
## 145 145  5.68 -0.975469235     FALSE       FALSE           FALSE -0.809814011
## 146 146 13.98  0.203793069     FALSE       FALSE           FALSE  0.366293826
## 147 147 13.15  0.085866839     FALSE       FALSE           FALSE  0.248683043
## 148 148  6.68 -0.833389439     FALSE       FALSE           FALSE -0.668114271
## 149 149  4.56 -1.134598606     FALSE       FALSE           FALSE -0.968517719
## 150 150  5.39 -1.016672376     FALSE       FALSE           FALSE -0.850906935
## 151 151  5.10 -1.057875516     FALSE       FALSE           FALSE -0.891999859
## 152 152  4.69 -1.116128233     FALSE       FALSE           FALSE -0.950096753
## 153 153  2.87 -1.374713461     FALSE       FALSE           FALSE -1.207990278
## 154 154  5.03 -1.067821102     FALSE       FALSE           FALSE -0.901918841
## 155 155  4.38 -1.160172969     FALSE       FALSE           FALSE -0.994023672
## 156 156  2.97 -1.360505481     FALSE       FALSE           FALSE -1.193820304
## 157 157  4.08 -1.202796908     FALSE       FALSE           FALSE -1.036533594
## 158 158  8.61 -0.559175434     FALSE       FALSE           FALSE -0.394633774
## 159 159  6.62 -0.841914227     FALSE       FALSE           FALSE -0.676616256
## 160 160  4.56 -1.134598606     FALSE       FALSE           FALSE -0.968517719
## 161 161  4.45 -1.150227384     FALSE       FALSE           FALSE -0.984104690
## 162 162  7.43 -0.726829592     FALSE       FALSE           FALSE -0.561839467
## 163 163  3.11 -1.340614310     FALSE       FALSE           FALSE -1.173982341
## 164 164  3.81 -1.241158453     FALSE       FALSE           FALSE -1.074792523
## 165 165 18.06  0.783478636     FALSE       FALSE           FALSE  0.944428763
## 166 166 14.66  0.300407330     FALSE       FALSE           FALSE  0.462649649
## 167 167 23.09  1.498140008     FALSE       FALSE           FALSE  1.657178452
## 168 168 17.27  0.671235597     FALSE       FALSE           FALSE  0.832485969
## 169 169 16.03  0.495056650     FALSE       FALSE           FALSE  0.656778292
## 170 170  9.38 -0.449773991     FALSE       FALSE           FALSE -0.285524975
## 171 171 29.55  2.415975488     FALSE       FALSE           FALSE  2.572558769
## 172 172  9.47 -0.436986809     FALSE       FALSE           FALSE -0.272771998
## 173 173 13.51  0.137015565     FALSE       FALSE           FALSE  0.299694949
## 174 174 17.92  0.763587464     FALSE       FALSE           FALSE  0.924590799
## 175 175 10.50 -0.290644620     FALSE       FALSE           FALSE -0.126821267
## 176 176  9.71 -0.402887658     FALSE       FALSE           FALSE -0.238764061
## 177 177 21.46  1.266549941     FALSE       FALSE           FALSE  1.426207877
## 178 178  9.93 -0.371630103     FALSE       FALSE           FALSE -0.207590118
## 179 179  7.60 -0.702676027     FALSE       FALSE           FALSE -0.537750511
## 180 180  4.14 -1.194272120     FALSE       FALSE           FALSE -1.028031609
## 181 181  3.13 -1.337772714     FALSE       FALSE           FALSE -1.171148346
## 182 182  6.36 -0.878854974     FALSE       FALSE           FALSE -0.713458188
## 183 183  3.92 -1.225529675     FALSE       FALSE           FALSE -1.059205552
## 184 184 11.65 -0.127252855     FALSE       FALSE           FALSE  0.036133434
## 185 185  5.25 -1.036563547     FALSE       FALSE           FALSE -0.870744899
## 186 186  2.47 -1.431545379     FALSE       FALSE           FALSE -1.264670174
## 187 187  3.95 -1.221267281     FALSE       FALSE           FALSE -1.054954560
## 188 188  8.05 -0.638740119     FALSE       FALSE           FALSE -0.473985628
## 189 189 10.88 -0.236654297     FALSE       FALSE           FALSE -0.072975366
## 190 190  9.54 -0.427041224     FALSE       FALSE           FALSE -0.262853017
## 191 191  4.73 -1.110445041     FALSE       FALSE           FALSE -0.944428763
## 192 192  7.37 -0.735354380     FALSE       FALSE           FALSE -0.570341451
## 193 193 11.38 -0.165614399     FALSE       FALSE           FALSE -0.002125496
## 194 194 12.40 -0.020693008     FALSE       FALSE           FALSE  0.142408238
## 195 195 11.22 -0.188347167     FALSE       FALSE           FALSE -0.024797454
## 196 196  5.19 -1.045088335     FALSE       FALSE           FALSE -0.879246883
## 197 197 12.50 -0.006485028     FALSE       FALSE           FALSE  0.156578212
## 198 198  9.16 -0.481031546     FALSE       FALSE           FALSE -0.316698918
## 199 199 10.15 -0.340372548     FALSE       FALSE           FALSE -0.176416176
## 200 200  9.52 -0.429882819     FALSE       FALSE           FALSE -0.265687011
## 201 201  6.56 -0.850439015     FALSE       FALSE           FALSE -0.685118240
## 202 202  3.59 -1.272416008     FALSE       FALSE           FALSE -1.105966466
## 203 203  3.53 -1.280940796     FALSE       FALSE           FALSE -1.114468450
## 204 204  6.57 -0.849018217     FALSE       FALSE           FALSE -0.683701243
## 205 205  9.25 -0.468244364     FALSE       FALSE           FALSE -0.303945941
## 206 206  3.11 -1.340614310     FALSE       FALSE           FALSE -1.173982341
## 207 207  5.12 -1.055033920     FALSE       FALSE           FALSE -0.889165865
## 208 208  6.90 -0.802131884     FALSE       FALSE           FALSE -0.636940329
## 209 209  9.59 -0.419937234     FALSE       FALSE           FALSE -0.255768030
## 210 210  7.26 -0.750983158     FALSE       FALSE           FALSE -0.585928422
## 211 211  5.91 -0.942790882     FALSE       FALSE           FALSE -0.777223071
## 212 212 14.79  0.318877704     FALSE       FALSE           FALSE  0.481070615
## 213 213  3.16 -1.333510320     FALSE       FALSE           FALSE -1.166897354
## 214 214 13.65  0.156906737     FALSE       FALSE           FALSE  0.319532912
## 215 215 13.00  0.064554870     FALSE       FALSE           FALSE  0.227428082
## 216 216  6.59 -0.846176621     FALSE       FALSE           FALSE -0.680867248
## 217 217  7.73 -0.684205654     FALSE       FALSE           FALSE -0.519329545
## 218 218  6.05 -0.922899711     FALSE       FALSE           FALSE -0.757385107
## 219 219  4.16 -1.191430524     FALSE       FALSE           FALSE -1.025197614
## 220 220  7.19 -0.760928743     FALSE       FALSE           FALSE -0.595847404
## 221 221  3.76 -1.248262443     FALSE       FALSE           FALSE -1.081877510
## 222 222  4.59 -1.130336212     FALSE       FALSE           FALSE -0.964266727
## 223 223  3.01 -1.354822289     FALSE       FALSE           FALSE -1.188152315
## 224 224  3.16 -1.333510320     FALSE       FALSE           FALSE -1.166897354
## 225 225  7.85 -0.667156078     FALSE       FALSE           FALSE -0.502325576
## 226 226  8.23 -0.613165756     FALSE       FALSE           FALSE -0.448479675
## 227 227 12.93  0.054609284     FALSE       FALSE           FALSE  0.217509100
## 228 228  7.14 -0.768032733     FALSE       FALSE           FALSE -0.602932391
## 229 229  7.60 -0.702676027     FALSE       FALSE           FALSE -0.537750511
## 230 230  9.51 -0.431303617     FALSE       FALSE           FALSE -0.267104009
## 231 231  3.33 -1.309356755     FALSE       FALSE           FALSE -1.142808398
## 232 232  3.56 -1.276678402     FALSE       FALSE           FALSE -1.110217458
## 233 233  4.70 -1.114707435     FALSE       FALSE           FALSE -0.948679755
## 234 234  6.27 -0.891642155     FALSE       FALSE           FALSE -0.726211164
## 235 235  7.39 -0.732512784     FALSE       FALSE           FALSE -0.567507456
## 236 236 15.84  0.468061489     FALSE       FALSE           FALSE  0.629855342
## 237 237  4.97 -1.076345890     FALSE       FALSE           FALSE -0.910420826
## 238 238  9.50 -0.432724415     FALSE       FALSE           FALSE -0.268521006
## 239 239  4.86 -1.091974667     FALSE       FALSE           FALSE -0.926007797
## 240 240  6.93 -0.797869490     FALSE       FALSE           FALSE -0.632689336
## 241 241  7.53 -0.712621613     FALSE       FALSE           FALSE -0.547669493
## 242 242  4.54 -1.137440202     FALSE       FALSE           FALSE -0.971351713
## 243 243  9.97 -0.365946911     FALSE       FALSE           FALSE -0.201922129
## 244 244  5.98 -0.932845296     FALSE       FALSE           FALSE -0.767304089
## 245 245 11.72 -0.117307269     FALSE       FALSE           FALSE  0.046052415
## 246 246  7.90 -0.660052088     FALSE       FALSE           FALSE -0.495240589
## 247 247  9.28 -0.463981970     FALSE       FALSE           FALSE -0.299694949
## 248 248 11.50 -0.148564824     FALSE       FALSE           FALSE  0.014878473
## 249 249 15.94  0.482269469     FALSE       FALSE           FALSE  0.644025316
## 250 250 10.36 -0.310535791     FALSE       FALSE           FALSE -0.146659230
## 251 251 12.73  0.026193325     FALSE       FALSE           FALSE  0.189169152
## 252 252  7.20 -0.759507945     FALSE       FALSE           FALSE -0.594430407
## 253 253  6.87 -0.806394278     FALSE       FALSE           FALSE -0.641191321
## 254 254  7.70 -0.688468048     FALSE       FALSE           FALSE -0.523580537
## 255 255 11.74 -0.114465673     FALSE       FALSE           FALSE  0.048886410
## 256 256  6.12 -0.912954125     FALSE       FALSE           FALSE -0.747466125
## 257 257  5.08 -1.060717112     FALSE       FALSE           FALSE -0.894833854
## 258 258  6.15 -0.908691731     FALSE       FALSE           FALSE -0.743215133
## 259 259 12.79  0.034718112     FALSE       FALSE           FALSE  0.197671136
## 260 260  9.97 -0.365946911     FALSE       FALSE           FALSE -0.201922129
## 261 261  7.34 -0.739616774     FALSE       FALSE           FALSE -0.574592443
## 262 262  9.09 -0.490977132     FALSE       FALSE           FALSE -0.326617899
## 263 263 12.43 -0.016430614     FALSE       FALSE           FALSE  0.146659230
## 264 264  5.68 -0.975469235     FALSE       FALSE           FALSE -0.809814011
## 265 265  6.75 -0.823443854     FALSE       FALSE           FALSE -0.658195289
## 266 266  8.01 -0.644423311     FALSE       FALSE           FALSE -0.479653618
## 267 267  9.80 -0.390100477     FALSE       FALSE           FALSE -0.226011084
## 268 268 10.56 -0.282119832     FALSE       FALSE           FALSE -0.118319282
## 269 269  9.74 -0.398625264     FALSE       FALSE           FALSE -0.234513069
## 270 270  9.29 -0.462561172     FALSE       FALSE           FALSE -0.298277951
## 271 271  5.49 -1.002464396     FALSE       FALSE           FALSE -0.836736961
## 272 272  8.65 -0.553492242     FALSE       FALSE           FALSE -0.388965785
## 273 273  7.18 -0.762349541     FALSE       FALSE           FALSE -0.597264402
## 274 274  4.61 -1.127494616     FALSE       FALSE           FALSE -0.961432732
## 275 275 10.53 -0.286382226     FALSE       FALSE           FALSE -0.122570275
## 276 276 12.67  0.017668537     FALSE       FALSE           FALSE  0.180667168
## 277 277  6.36 -0.878854974     FALSE       FALSE           FALSE -0.713458188
## 278 278  5.99 -0.931424498     FALSE       FALSE           FALSE -0.765887091
## 279 279  5.89 -0.945632478     FALSE       FALSE           FALSE -0.780057065
## 280 280  5.49 -1.002464396     FALSE       FALSE           FALSE -0.836736961
## 281 281  4.50 -1.143123394     FALSE       FALSE           FALSE -0.977019703
## 282 282  8.05 -0.638740119     FALSE       FALSE           FALSE -0.473985628
## 283 283  5.57 -0.991098012     FALSE       FALSE           FALSE -0.825400982
## 284 284 17.60  0.718121930     FALSE       FALSE           FALSE  0.879246883
## 285 285 13.27  0.102916414     FALSE       FALSE           FALSE  0.265687011
## 286 286 11.48 -0.151406420     FALSE       FALSE           FALSE  0.012044478
## 287 287  7.79 -0.675680866     FALSE       FALSE           FALSE -0.510827560
## 288 288 14.19  0.233629826     FALSE       FALSE           FALSE  0.396050772
## 289 289 10.19 -0.334689356     FALSE       FALSE           FALSE -0.170748186
## 290 290 14.64  0.297565734     FALSE       FALSE           FALSE  0.459815654
## 291 291  5.29 -1.030880355     FALSE       FALSE           FALSE -0.865076909
## 292 292  7.12 -0.770874329     FALSE       FALSE           FALSE -0.605766386
## 293 293 14.00  0.206634665     FALSE       FALSE           FALSE  0.369127821
## 294 294 13.33  0.111441202     FALSE       FALSE           FALSE  0.274188996
## 295 295  3.26 -1.319302340     FALSE       FALSE           FALSE -1.152727380
## 296 296  2.96 -1.361926279     FALSE       FALSE           FALSE -1.195237302
## 297 297  9.53 -0.428462021     FALSE       FALSE           FALSE -0.264270014
## 298 298  8.88 -0.520813889     FALSE       FALSE           FALSE -0.356374845
## 299 299 34.77  3.157632022      TRUE        TRUE           FALSE  3.312231408
## 300 300 37.97  3.612287368      TRUE        TRUE           FALSE  3.765670574
## 301 301 13.44  0.127069980     FALSE       FALSE           FALSE  0.289775967
## 302 302 23.24  1.519451977     FALSE       FALSE           FALSE  1.678433413
## 303 303 21.24  1.235292386     FALSE       FALSE           FALSE  1.395033934
## 304 304 23.69  1.583387885     FALSE       FALSE           FALSE  1.742198296
## 305 305 17.21  0.662710809     FALSE       FALSE           FALSE  0.823983985
## 306 306 23.60  1.570600704     FALSE       FALSE           FALSE  1.729445319
## 307 307 24.56  1.706997308     FALSE       FALSE           FALSE  1.865477069
## 308 308 28.28  2.235534148     FALSE       FALSE           FALSE  2.392600100
## 309 309 31.99  2.762650190     FALSE        TRUE           FALSE  2.918306133
## 310 310 30.62  2.568000870     FALSE       FALSE           FALSE  2.724177490
## 311 311 18.76  0.882934493     FALSE       FALSE           FALSE  1.043618581
## 312 312 25.68  1.866126679     FALSE       FALSE           FALSE  2.024180777
## 313 313 15.17  0.372868026     FALSE       FALSE           FALSE  0.534916516
## 314 314 16.35  0.540522185     FALSE       FALSE           FALSE  0.702122209
## 315 315 17.12  0.649923628     FALSE       FALSE           FALSE  0.811231008
## 316 316 19.37  0.969603168     FALSE       FALSE           FALSE  1.130055422
## 317 317 29.97  2.475649002     FALSE       FALSE           FALSE  2.632072659
## 318 318 26.77  2.020993656     FALSE       FALSE           FALSE  2.178633493
## 319 319 20.31  1.103158176     FALSE       FALSE           FALSE  1.263253177
## 320 320 19.77  1.026435086     FALSE       FALSE           FALSE  1.186735317
## 321 321 27.38  2.107662332     FALSE       FALSE           FALSE  2.265070334
## 322 322 22.98  1.482511231     FALSE       FALSE           FALSE  1.641591481
## 323 323 26.40  1.968424132     FALSE       FALSE           FALSE  2.126204589
## 324 324 10.11 -0.346055740     FALSE       FALSE           FALSE -0.182084165
## 325 325 21.22  1.232450790     FALSE       FALSE           FALSE  1.392199939
## 326 326 34.37  3.100800103      TRUE        TRUE           FALSE  3.255551512
## 327 327 20.08  1.070479823     FALSE       FALSE           FALSE  1.230662237
## 328 328 36.98  3.471628370      TRUE        TRUE           FALSE  3.625387832
## 329 329 29.05  2.344935590     FALSE       FALSE           FALSE  2.501708899
## 330 330 25.79  1.881755456     FALSE       FALSE           FALSE  2.039767748
## 331 331 26.64  2.002523283     FALSE       FALSE           FALSE  2.160212527
## 332 332 20.62  1.147202913     FALSE       FALSE           FALSE  1.307180096
## 333 333 22.74  1.448412080     FALSE       FALSE           FALSE  1.607583543
## 334 334 15.02  0.351556057     FALSE       FALSE           FALSE  0.513661555
## 335 335 15.70  0.448170318     FALSE       FALSE           FALSE  0.610017378
## 336 336 14.10  0.220842645     FALSE       FALSE           FALSE  0.383297795
## 337 337 23.29  1.526555967     FALSE       FALSE           FALSE  1.685518400
## 338 338 17.16  0.655606820     FALSE       FALSE           FALSE  0.816898998
## 339 339 24.39  1.682843742     FALSE       FALSE           FALSE  1.841388113
## 340 340 15.69  0.446749520     FALSE       FALSE           FALSE  0.608600381
## 341 341 14.52  0.280516159     FALSE       FALSE           FALSE  0.442811686
## 342 342 24.08  1.638799006     FALSE       FALSE           FALSE  1.797461194
## 343 343 17.64  0.723805122     FALSE       FALSE           FALSE  0.884914872
## 344 344 19.69  1.015068703     FALSE       FALSE           FALSE  1.175399338
## 345 345 12.03 -0.073262532     FALSE       FALSE           FALSE  0.089979335
## 346 346 16.22  0.522051812     FALSE       FALSE           FALSE  0.683701243
## 347 347 15.17  0.372868026     FALSE       FALSE           FALSE  0.534916516
## 348 348 23.27  1.523714371     FALSE       FALSE           FALSE  1.682684405
## 349 349 18.05  0.782057838     FALSE       FALSE           FALSE  0.943011766
## 350 350 34.02  3.051072175      TRUE        TRUE           FALSE  3.205956604
## 351 351 22.88  1.468303251     FALSE       FALSE           FALSE  1.627421507
## 352 352 22.11  1.358901808     FALSE       FALSE           FALSE  1.518312708
## 353 353 16.59  0.574621336     FALSE       FALSE           FALSE  0.736130146
## 354 354 23.79  1.597595865     FALSE       FALSE           FALSE  1.756368270
## 355 355 23.98  1.624591026     FALSE       FALSE           FALSE  1.783291220
## 356 356 17.79  0.745117091     FALSE       FALSE           FALSE  0.906169833
## 357 357 16.44  0.553309367     FALSE       FALSE           FALSE  0.714875185
## 358 358 19.31  0.961078380     FALSE       FALSE           FALSE  1.121553437
## 359 359 17.44  0.695389162     FALSE       FALSE           FALSE  0.856574925
## 360 360 17.73  0.736592303     FALSE       FALSE           FALSE  0.897667849
## 361 361 16.74  0.595933305     FALSE       FALSE           FALSE  0.757385107
## 362 362 18.71  0.875830503     FALSE       FALSE           FALSE  1.036533594
## 363 363 18.13  0.793424221     FALSE       FALSE           FALSE  0.954347745
## 364 364 19.01  0.918454442     FALSE       FALSE           FALSE  1.079043515
## 365 365 16.94  0.624349265     FALSE       FALSE           FALSE  0.785725055
## 366 366 14.70  0.306090522     FALSE       FALSE           FALSE  0.468317639
## 367 367 13.99  0.205213867     FALSE       FALSE           FALSE  0.367710824
## 368 368 13.22  0.095812425     FALSE       FALSE           FALSE  0.258602024
## 369 369 14.13  0.225105039     FALSE       FALSE           FALSE  0.387548787
## 370 370 17.15  0.654186022     FALSE       FALSE           FALSE  0.815482000
## 371 371 18.13  0.793424221     FALSE       FALSE           FALSE  0.954347745
## 372 372 14.76  0.314615310     FALSE       FALSE           FALSE  0.476819623
## 373 373 16.29  0.531997397     FALSE       FALSE           FALSE  0.693620224
## 374 374 12.87  0.046084496     FALSE       FALSE           FALSE  0.209007116
## 375 375 14.36  0.257783392     FALSE       FALSE           FALSE  0.420139727
## 376 376 11.66 -0.125832057     FALSE       FALSE           FALSE  0.037550431
## 377 377 18.14  0.794845019     FALSE       FALSE           FALSE  0.955764742
## 378 378 24.10  1.641640602     FALSE       FALSE           FALSE  1.800295189
## 379 379 18.68  0.871568109     FALSE       FALSE           FALSE  1.032282601
## 380 380 24.91  1.756725236     FALSE       FALSE           FALSE  1.915071978
## 381 381 18.03  0.779216242     FALSE       FALSE           FALSE  0.940177771
## 382 382 13.11  0.080183647     FALSE       FALSE           FALSE  0.243015053
## 383 383 10.74 -0.256545469     FALSE       FALSE           FALSE -0.092813329
## 384 384  7.74 -0.682784856     FALSE       FALSE           FALSE -0.517912547
## 385 385  7.01 -0.786503107     FALSE       FALSE           FALSE -0.621353357
## 386 386 10.42 -0.302011003     FALSE       FALSE           FALSE -0.138157246
## 387 387 13.34  0.112862000     FALSE       FALSE           FALSE  0.275605993
## 388 388 10.58 -0.279278236     FALSE       FALSE           FALSE -0.115485288
## 389 389 11.45 -0.155668814     FALSE       FALSE           FALSE  0.007793486
## 390 390 18.06  0.783478636     FALSE       FALSE           FALSE  0.944428763
## 391 391 23.97  1.623170228     FALSE       FALSE           FALSE  1.781874223
## 392 392 29.68  2.434445862     FALSE       FALSE           FALSE  2.590979735
## 393 393 18.07  0.784899434     FALSE       FALSE           FALSE  0.945845760
## 394 394 13.35  0.114282798     FALSE       FALSE           FALSE  0.277022990
## 395 395 13.59  0.148381949     FALSE       FALSE           FALSE  0.311030928
## 396 396 17.60  0.718121930     FALSE       FALSE           FALSE  0.879246883
## 397 397 21.14  1.221084406     FALSE       FALSE           FALSE  1.380863960
## 398 398 12.92  0.053188486     FALSE       FALSE           FALSE  0.216092103
## 399 399 15.10  0.362922440     FALSE       FALSE           FALSE  0.524997534
## 400 400 14.33  0.253520998     FALSE       FALSE           FALSE  0.415888735
## 401 401  9.67 -0.408570850     FALSE       FALSE           FALSE -0.244432050
## 402 402  9.08 -0.492397930     FALSE       FALSE           FALSE -0.328034897
## 403 403  6.48 -0.861805398     FALSE       FALSE           FALSE -0.696454219
## 404 404  7.88 -0.662893684     FALSE       FALSE           FALSE -0.498074584
##     outlier_MAD
## 1         FALSE
## 2         FALSE
## 3         FALSE
## 4         FALSE
## 5         FALSE
## 6         FALSE
## 7         FALSE
## 8         FALSE
## 9         FALSE
## 10        FALSE
## 11        FALSE
## 12        FALSE
## 13        FALSE
## 14        FALSE
## 15        FALSE
## 16        FALSE
## 17        FALSE
## 18        FALSE
## 19        FALSE
## 20        FALSE
## 21        FALSE
## 22        FALSE
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## 24        FALSE
## 25        FALSE
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## 27        FALSE
## 28        FALSE
## 29        FALSE
## 30        FALSE
## 31        FALSE
## 32        FALSE
## 33        FALSE
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## 35        FALSE
## 36        FALSE
## 37        FALSE
## 38        FALSE
## 39        FALSE
## 40        FALSE
## 41        FALSE
## 42        FALSE
## 43        FALSE
## 44        FALSE
## 45        FALSE
## 46        FALSE
## 47        FALSE
## 48        FALSE
## 49        FALSE
## 50        FALSE
## 51        FALSE
## 52        FALSE
## 53        FALSE
## 54        FALSE
## 55        FALSE
## 56        FALSE
## 57        FALSE
## 58        FALSE
## 59        FALSE
## 60        FALSE
## 61        FALSE
## 62        FALSE
## 63        FALSE
## 64        FALSE
## 65        FALSE
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## 67        FALSE
## 68        FALSE
## 69        FALSE
## 70        FALSE
## 71        FALSE
## 72        FALSE
## 73        FALSE
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## 80        FALSE
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## 90        FALSE
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## 96        FALSE
## 97        FALSE
## 98        FALSE
## 99        FALSE
## 100       FALSE
## 101       FALSE
## 102       FALSE
## 103       FALSE
## 104       FALSE
## 105       FALSE
## 106       FALSE
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## 109       FALSE
## 110       FALSE
## 111       FALSE
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## 113       FALSE
## 114       FALSE
## 115       FALSE
## 116       FALSE
## 117       FALSE
## 118       FALSE
## 119       FALSE
## 120       FALSE
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## 125       FALSE
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## 128       FALSE
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## 130       FALSE
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## 140       FALSE
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## 292       FALSE
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## 296       FALSE
## 297       FALSE
## 298       FALSE
## 299       FALSE
## 300        TRUE
## 301       FALSE
## 302       FALSE
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## 311       FALSE
## 312       FALSE
## 313       FALSE
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## 315       FALSE
## 316       FALSE
## 317       FALSE
## 318       FALSE
## 319       FALSE
## 320       FALSE
## 321       FALSE
## 322       FALSE
## 323       FALSE
## 324       FALSE
## 325       FALSE
## 326       FALSE
## 327       FALSE
## 328        TRUE
## 329       FALSE
## 330       FALSE
## 331       FALSE
## 332       FALSE
## 333       FALSE
## 334       FALSE
## 335       FALSE
## 336       FALSE
## 337       FALSE
## 338       FALSE
## 339       FALSE
## 340       FALSE
## 341       FALSE
## 342       FALSE
## 343       FALSE
## 344       FALSE
## 345       FALSE
## 346       FALSE
## 347       FALSE
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## 349       FALSE
## 350       FALSE
## 351       FALSE
## 352       FALSE
## 353       FALSE
## 354       FALSE
## 355       FALSE
## 356       FALSE
## 357       FALSE
## 358       FALSE
## 359       FALSE
## 360       FALSE
## 361       FALSE
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## 364       FALSE
## 365       FALSE
## 366       FALSE
## 367       FALSE
## 368       FALSE
## 369       FALSE
## 370       FALSE
## 371       FALSE
## 372       FALSE
## 373       FALSE
## 374       FALSE
## 375       FALSE
## 376       FALSE
## 377       FALSE
## 378       FALSE
## 379       FALSE
## 380       FALSE
## 381       FALSE
## 382       FALSE
## 383       FALSE
## 384       FALSE
## 385       FALSE
## 386       FALSE
## 387       FALSE
## 388       FALSE
## 389       FALSE
## 390       FALSE
## 391       FALSE
## 392       FALSE
## 393       FALSE
## 394       FALSE
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## 396       FALSE
## 397       FALSE
## 398       FALSE
## 399       FALSE
## 400       FALSE
## 401       FALSE
## 402       FALSE
## 403       FALSE
## 404       FALSE
## 
## ===== AL MENOS UN MÉTODO =====
##    ID Valor  Z_score outlier_Z outlier_IQR Z_robusto outlier_MAD
## 1 299 34.77 3.157632      TRUE        TRUE  3.312231       FALSE
## 2 300 37.97 3.612287      TRUE        TRUE  3.765671        TRUE
## 3 309 31.99 2.762650     FALSE        TRUE  2.918306       FALSE
## 4 326 34.37 3.100800      TRUE        TRUE  3.255552       FALSE
## 5 328 36.98 3.471628      TRUE        TRUE  3.625388        TRUE
## 6 350 34.02 3.051072      TRUE        TRUE  3.205957       FALSE
##   metodos_evaluados numero_metodos
## 1                 3              2
## 2                 3              3
## 3                 3              1
## 4                 3              2
## 5                 3              3
## 6                 3              2
## 
## ===== AL MENOS DOS MÉTODOS =====
##    ID Valor  Z_score outlier_Z outlier_IQR Z_robusto outlier_MAD
## 1 299 34.77 3.157632      TRUE        TRUE  3.312231       FALSE
## 2 300 37.97 3.612287      TRUE        TRUE  3.765671        TRUE
## 3 326 34.37 3.100800      TRUE        TRUE  3.255552       FALSE
## 4 328 36.98 3.471628      TRUE        TRUE  3.625388        TRUE
## 5 350 34.02 3.051072      TRUE        TRUE  3.205957       FALSE
##   metodos_evaluados numero_metodos
## 1                 3              2
## 2                 3              3
## 3                 3              2
## 4                 3              3
## 5                 3              2
## 
## ===== LOS TRES MÉTODOS =====
##    ID Valor  Z_score Z_robusto
## 1 300 37.97 3.612287  3.765671
## 2 328 36.98 3.471628  3.625388
## 
## ================ RESUMEN ================
##  Variable        Metodo N_evaluados N_outliers Porcentaje
##     lstat       Z-score         404          5       1.24
##     lstat           IQR         404          6       1.49
##     lstat Tukey extremo         404          0       0.00
##     lstat           MAD         404          2       0.50
## Warning: No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
## No shared levels found between `names(values)` of the manual scale and the
## data's colour values.

## 
## ================ CLASIFICACIÓN FINAL ================
##    ID Valor  Z_score Z_robusto metodos_evaluados numero_metodos
## 1 299 34.77 3.157632  3.312231                 3              2
## 2 300 37.97 3.612287  3.765671                 3              3
## 3 309 31.99 2.762650  2.918306                 3              1
## 4 326 34.37 3.100800  3.255552                 3              2
## 5 328 36.98 3.471628  3.625388                 3              3
## 6 350 34.02 3.051072  3.205957                 3              2
##             clasificacion
## 1 Outlier según 2 métodos
## 2 Outlier según 3 métodos
## 3  Outlier según 1 método
## 4 Outlier según 2 métodos
## 5 Outlier según 3 métodos
## 6 Outlier según 2 métodos

Interpretación: Realizando la comparación de los métodos se observa que varias variable spresenta valores atipico los cuales tiene que ser imputados.

resumen_general <- bind_rows(resumenes)
comparacion_general <- bind_rows(resultados)
limites_entrenamiento <- bind_rows(parametros_deteccion)

atipicos_general <- comparacion_general %>%
  filter(numero_metodos >= 1)

atipicos_dos_metodos <- comparacion_general %>%
  filter(numero_metodos >= 2)

cat("\n================ RESUMEN GENERAL ================\n")
## 
## ================ RESUMEN GENERAL ================
print(resumen_general)
##                      Variable        Metodo N_evaluados N_outliers Porcentaje
## outlier_Z...1            crim       Z-score         404          7       1.73
## outlier_IQR...2          crim           IQR         404         53      13.12
## outlier_extremo...3      crim Tukey extremo         404         23       5.69
## outlier_MAD...4          crim           MAD         404        130      32.18
## outlier_Z...5              zn       Z-score         404         11       2.72
## outlier_IQR...6            zn           IQR           0          0         NA
## outlier_extremo...7        zn Tukey extremo           0          0         NA
## outlier_MAD...8            zn           MAD           0          0         NA
## outlier_Z...9           indus       Z-score         404          0       0.00
## outlier_IQR...10        indus           IQR         404          0       0.00
## outlier_extremo...11    indus Tukey extremo         404          0       0.00
## outlier_MAD...12        indus           MAD         404          0       0.00
## outlier_Z...13            nox       Z-score         404          0       0.00
## outlier_IQR...14          nox           IQR         404          0       0.00
## outlier_extremo...15      nox Tukey extremo         404          0       0.00
## outlier_MAD...16          nox           MAD         404          0       0.00
## outlier_Z...17             rm       Z-score         404          7       1.73
## outlier_IQR...18           rm           IQR         404         23       5.69
## outlier_extremo...19       rm Tukey extremo         404          1       0.25
## outlier_MAD...20           rm           MAD         404         12       2.97
## outlier_Z...21            age       Z-score         404          0       0.00
## outlier_IQR...22          age           IQR         404          0       0.00
## outlier_extremo...23      age Tukey extremo         404          0       0.00
## outlier_MAD...24          age           MAD         404          0       0.00
## outlier_Z...25            dis       Z-score         404          4       0.99
## outlier_IQR...26          dis           IQR         404          4       0.99
## outlier_extremo...27      dis Tukey extremo         404          0       0.00
## outlier_MAD...28          dis           MAD         404          4       0.99
## outlier_Z...29            rad       Z-score         404          0       0.00
## outlier_IQR...30          rad           IQR         404          0       0.00
## outlier_extremo...31      rad Tukey extremo         404          0       0.00
## outlier_MAD...32          rad           MAD         404        106      26.24
## outlier_Z...33            tax       Z-score         404          0       0.00
## outlier_IQR...34          tax           IQR         404          0       0.00
## outlier_extremo...35      tax Tukey extremo         404          0       0.00
## outlier_MAD...36          tax           MAD         404          0       0.00
## outlier_Z...37        ptratio       Z-score         404          0       0.00
## outlier_IQR...38      ptratio           IQR         404          0       0.00
## outlier_extremo...39  ptratio Tukey extremo         404          0       0.00
## outlier_MAD...40      ptratio           MAD         404          3       0.74
## outlier_Z...41          black       Z-score         404         20       4.95
## outlier_IQR...42        black           IQR         404         61      15.10
## outlier_extremo...43    black Tukey extremo         404         49      12.13
## outlier_MAD...44        black           MAD         404         83      20.54
## outlier_Z...45          lstat       Z-score         404          5       1.24
## outlier_IQR...46        lstat           IQR         404          6       1.49
## outlier_extremo...47    lstat Tukey extremo         404          0       0.00
## outlier_MAD...48        lstat           MAD         404          2       0.50
cat("\n================ AL MENOS DOS MÉTODOS ================\n")
## 
## ================ AL MENOS DOS MÉTODOS ================
print(atipicos_dos_metodos)
##      ID     Valor    Z_score outlier_Z outlier_IQR outlier_extremo  Z_robusto
## 1   294  13.52220  1.0721124     FALSE        TRUE           FALSE  40.305817
## 2   297   9.23230  0.6022720     FALSE        TRUE           FALSE  27.271749
## 3   299  11.10810  0.8077142     FALSE        TRUE           FALSE  32.971021
## 4   300  18.49820  1.6170961     FALSE        TRUE            TRUE  55.424473
## 5   301  19.60910  1.7387645     FALSE        TRUE            TRUE  58.799737
## 6   302  15.28800  1.2655071     FALSE        TRUE            TRUE  45.670874
## 7   303   9.82349  0.6670206     FALSE        TRUE           FALSE  29.067971
## 8   304  23.64820  2.1811367     FALSE        TRUE            TRUE  71.071796
## 9   305  88.97620  9.3360193      TRUE        TRUE            TRUE 269.558844
## 10  306   9.18702  0.5973128     FALSE        TRUE           FALSE  27.134174
## 11  308  24.39380  2.2627966     FALSE        TRUE            TRUE  73.337163
## 12  309  22.59710  2.0660176     FALSE        TRUE            TRUE  67.878223
## 13  310  14.33370  1.1609898     FALSE        TRUE           FALSE  42.771410
## 14  312  11.57790  0.8591679     FALSE        TRUE           FALSE  34.398421
## 15  314  13.35980  1.0543259     FALSE        TRUE           FALSE  39.812395
## 16  317   9.91655  0.6772127     FALSE        TRUE           FALSE  29.350716
## 17  318  25.04610  2.3342381     FALSE        TRUE            TRUE  75.319056
## 18  319   9.59571  0.6420735     FALSE        TRUE           FALSE  28.375903
## 19  320  24.80170  2.3074708     FALSE        TRUE            TRUE  74.576492
## 20  321  41.52920  4.1395076      TRUE        TRUE            TRUE 125.399908
## 21  322  67.92080  7.0299803      TRUE        TRUE            TRUE 205.585905
## 22  324  51.13580  5.1916460      TRUE        TRUE            TRUE 154.587786
## 23  325  14.05070  1.1299950     FALSE        TRUE           FALSE  41.911567
## 24  326  18.81100  1.6513547     FALSE        TRUE            TRUE  56.374858
## 25  327  28.65580  2.7295813     FALSE        TRUE            TRUE  86.286462
## 26  328  45.74610  4.6013528      TRUE        TRUE            TRUE 138.212179
## 27  329  18.08460  1.5717976     FALSE        TRUE            TRUE  54.167826
## 28  330  10.83420  0.7777160     FALSE        TRUE           FALSE  32.138826
## 29  331  25.94060  2.4322059     FALSE        TRUE            TRUE  78.036829
## 30  332  73.53410  7.6447626      TRUE        TRUE            TRUE 222.640879
## 31  333  11.81230  0.8848399     FALSE        TRUE           FALSE  35.110602
## 32  334  11.08740  0.8054471     FALSE        TRUE           FALSE  32.908128
## 33  336  12.04820  0.9106763     FALSE        TRUE           FALSE  35.827341
## 34  339  15.86030  1.3281868     FALSE        TRUE            TRUE  47.409702
## 35  340  12.24720  0.9324712     FALSE        TRUE           FALSE  36.431965
## 36  341  37.66190  3.7159514      TRUE        TRUE            TRUE 113.649832
## 37  342   9.33889  0.6139460     FALSE        TRUE           FALSE  27.595603
## 38  344  10.06230  0.6931756     FALSE        TRUE           FALSE  29.793551
## 39  347  13.91340  1.1149575     FALSE        TRUE           FALSE  41.494406
## 40  348  11.16040  0.8134422     FALSE        TRUE           FALSE  33.129925
## 41  349  14.42080  1.1705292     FALSE        TRUE           FALSE  43.036047
## 42  350  13.67810  1.0891869     FALSE        TRUE           FALSE  40.779490
## 43  351   9.39063  0.6196127     FALSE        TRUE           FALSE  27.752806
## 44  352  22.05110  2.0062184     FALSE        TRUE            TRUE  66.219303
## 45  354  12.80230  0.9932671     FALSE        TRUE           FALSE  38.118534
## 46  355  10.67180  0.7599296     FALSE        TRUE           FALSE  31.645404
## 47  357   9.92485  0.6781218     FALSE        TRUE           FALSE  29.375934
## 48  362   9.51363  0.6330839     FALSE        TRUE           FALSE  28.126518
## 49  371  15.57570  1.2970167     FALSE        TRUE            TRUE  46.544997
## 50  372  13.07510  1.0231449     FALSE        TRUE           FALSE  38.947386
## 51  380  15.02340  1.2365275     FALSE        TRUE            TRUE  44.866936
## 52  381  10.23300  0.7118711     FALSE        TRUE           FALSE  30.312191
## 53  382  14.33370  1.1609898     FALSE        TRUE           FALSE  42.771410
## 54   70   8.06900  2.5734843     FALSE        TRUE           FALSE   3.671679
## 55  129   8.37500  3.0158522      TRUE        TRUE           FALSE   4.276054
## 56  180   8.26600  2.8582767     FALSE        TRUE           FALSE   4.060770
## 57  181   8.04000  2.5315605     FALSE        TRUE           FALSE   3.614401
## 58  186   8.33700  2.9609177     FALSE        TRUE           FALSE   4.201001
## 59  187   8.24700  2.8308094     FALSE        TRUE           FALSE   4.023244
## 60  207   8.70400  3.4914701      TRUE        TRUE           FALSE   4.925856
## 61  211   8.39800  3.0491021      TRUE        TRUE           FALSE   4.321481
## 62  291   8.78000  3.6013393      TRUE        TRUE           FALSE   5.075963
## 63  292   3.56100 -3.9434924      TRUE        TRUE            TRUE  -5.231994
## 64  294   3.86300 -3.5069070      TRUE        TRUE           FALSE  -4.635519
## 65  300   4.13800 -3.1093541      TRUE        TRUE           FALSE  -4.092371
## 66  280  10.71030  3.2981067      TRUE        TRUE           FALSE   4.126456
## 67  281  12.12650  3.9702120      TRUE        TRUE           FALSE   4.895085
## 68  282  10.58570  3.2389736      TRUE        TRUE           FALSE   4.058831
## 69  283  10.58570  3.2389736      TRUE        TRUE           FALSE   4.058831
## 70   18 303.42000 -0.5032827     FALSE        TRUE            TRUE -10.131233
## 71   19 306.38000 -0.4729097     FALSE        TRUE           FALSE  -9.789075
## 72   24 248.31000 -1.0687734     FALSE        TRUE            TRUE -16.501616
## 73   75  70.80000 -2.8902261     FALSE        TRUE            TRUE -37.020700
## 74  102 262.76000 -0.9205001     FALSE        TRUE            TRUE -14.831283
## 75  112 172.91000 -1.8424624     FALSE        TRUE            TRUE -25.217400
## 76  113 169.27000 -1.8798129     FALSE        TRUE            TRUE -25.638162
## 77  119 261.95000 -0.9288116     FALSE        TRUE            TRUE -14.924914
## 78  120 321.02000 -0.3226868     FALSE        TRUE           FALSE  -8.096779
## 79  121  88.01000 -2.7136321     FALSE        TRUE            TRUE -35.031328
## 80  122  88.63000 -2.7072702     FALSE        TRUE            TRUE -34.959659
## 81  126 338.92000 -0.1390126     FALSE        TRUE           FALSE  -6.027647
## 82  131 240.16000 -1.1524016     FALSE        TRUE            TRUE -17.443707
## 83  133 227.61000 -1.2811787     FALSE        TRUE            TRUE -18.894411
## 84  134 297.09000 -0.5682356     FALSE        TRUE            TRUE -10.862942
## 85  135 292.29000 -0.6174890     FALSE        TRUE            TRUE -11.417793
## 86  293 316.03000 -0.3738898     FALSE        TRUE           FALSE  -8.673593
## 87  294 131.42000 -2.2681966     FALSE        TRUE            TRUE -30.013394
## 88  317 338.16000 -0.1468111     FALSE        TRUE           FALSE  -6.115498
## 89  321 329.46000 -0.2360829     FALSE        TRUE           FALSE  -7.121166
## 90  323 314.64000 -0.3881528     FALSE        TRUE           FALSE  -8.834268
## 91  324   2.60000 -3.5900350      TRUE        TRUE            TRUE -44.904208
## 92  325  35.05000 -3.2570614      TRUE        TRUE            TRUE -41.153184
## 93  326  28.79000 -3.3212961      TRUE        TRUE            TRUE -41.876802
## 94  327 210.97000 -1.4519239     FALSE        TRUE            TRUE -20.817894
## 95  328  88.27000 -2.7109642     FALSE        TRUE            TRUE -35.001273
## 96  329  27.25000 -3.3370982      TRUE        TRUE            TRUE -42.054817
## 97  330  21.57000 -3.3953814      TRUE        TRUE            TRUE -42.711390
## 98  331 127.36000 -2.3098568     FALSE        TRUE            TRUE -30.482705
## 99  332  16.45000 -3.4479184      TRUE        TRUE            TRUE -43.303232
## 100 333  48.45000 -3.1195623      TRUE        TRUE            TRUE -39.604225
## 101 334 318.75000 -0.3459796     FALSE        TRUE           FALSE  -8.359177
## 102 335 319.98000 -0.3333584     FALSE        TRUE           FALSE  -8.216997
## 103 336 291.55000 -0.6250822     FALSE        TRUE            TRUE -11.503333
## 104 337   2.52000 -3.5908559      TRUE        TRUE            TRUE -44.913455
## 105 338   3.65000 -3.5792608      TRUE        TRUE            TRUE -44.782834
## 106 339   7.68000 -3.5379085      TRUE        TRUE            TRUE -44.316991
## 107 340  24.65000 -3.3637772      TRUE        TRUE            TRUE -42.355361
## 108 341  18.82000 -3.4235995      TRUE        TRUE            TRUE -43.029274
## 109 342  60.72000 -2.9936583     FALSE        TRUE            TRUE -38.185887
## 110 343  83.45000 -2.7604229     FALSE        TRUE            TRUE -35.558436
## 111 344  81.33000 -2.7821765     FALSE        TRUE            TRUE -35.803495
## 112 345  97.95000 -2.6116365     FALSE        TRUE            TRUE -33.882324
## 113 346 100.19000 -2.5886516     FALSE        TRUE            TRUE -33.623393
## 114 347 100.63000 -2.5841367     FALSE        TRUE            TRUE -33.572532
## 115 348 109.85000 -2.4895291     FALSE        TRUE            TRUE -32.506756
## 116 349  27.49000 -3.3346356      TRUE        TRUE            TRUE -42.027074
## 117 350  68.95000 -2.9092092     FALSE        TRUE            TRUE -37.234549
## 118 354 240.52000 -1.1487076     FALSE        TRUE            TRUE -17.402093
## 119 355  43.06000 -3.1748698      TRUE        TRUE            TRUE -40.227276
## 120 356 318.01000 -0.3535728     FALSE        TRUE           FALSE  -8.444717
## 121 358 304.21000 -0.4951764     FALSE        TRUE            TRUE -10.039913
## 122 359   0.32000 -3.6134304      TRUE        TRUE            TRUE -45.167762
## 123 362   6.68000 -3.5481696      TRUE        TRUE            TRUE -44.432585
## 124 363  50.92000 -3.0942173      TRUE        TRUE            TRUE -39.318708
## 125 364  10.48000 -3.5091773      TRUE        TRUE            TRUE -43.993327
## 126 365   3.50000 -3.5808000      TRUE        TRUE            TRUE -44.800173
## 127 369 334.40000 -0.1853929     FALSE        TRUE           FALSE  -6.550132
## 128 370  22.01000 -3.3908665      TRUE        TRUE            TRUE -42.660529
## 129 378 302.76000 -0.5100550     FALSE        TRUE            TRUE -10.207525
## 130 392 318.43000 -0.3492631     FALSE        TRUE           FALSE  -8.396167
## 131 299  34.77000  3.1576320      TRUE        TRUE           FALSE   3.312231
## 132 300  37.97000  3.6122874      TRUE        TRUE           FALSE   3.765671
## 133 326  34.37000  3.1008001      TRUE        TRUE           FALSE   3.255552
## 134 328  36.98000  3.4716284      TRUE        TRUE           FALSE   3.625388
## 135 350  34.02000  3.0510722      TRUE        TRUE           FALSE   3.205957
##     outlier_MAD metodos_evaluados numero_metodos           clasificacion
## 1          TRUE                 3              2 Outlier según 2 métodos
## 2          TRUE                 3              2 Outlier según 2 métodos
## 3          TRUE                 3              2 Outlier según 2 métodos
## 4          TRUE                 3              2 Outlier según 2 métodos
## 5          TRUE                 3              2 Outlier según 2 métodos
## 6          TRUE                 3              2 Outlier según 2 métodos
## 7          TRUE                 3              2 Outlier según 2 métodos
## 8          TRUE                 3              2 Outlier según 2 métodos
## 9          TRUE                 3              3 Outlier según 3 métodos
## 10         TRUE                 3              2 Outlier según 2 métodos
## 11         TRUE                 3              2 Outlier según 2 métodos
## 12         TRUE                 3              2 Outlier según 2 métodos
## 13         TRUE                 3              2 Outlier según 2 métodos
## 14         TRUE                 3              2 Outlier según 2 métodos
## 15         TRUE                 3              2 Outlier según 2 métodos
## 16         TRUE                 3              2 Outlier según 2 métodos
## 17         TRUE                 3              2 Outlier según 2 métodos
## 18         TRUE                 3              2 Outlier según 2 métodos
## 19         TRUE                 3              2 Outlier según 2 métodos
## 20         TRUE                 3              3 Outlier según 3 métodos
## 21         TRUE                 3              3 Outlier según 3 métodos
## 22         TRUE                 3              3 Outlier según 3 métodos
## 23         TRUE                 3              2 Outlier según 2 métodos
## 24         TRUE                 3              2 Outlier según 2 métodos
## 25         TRUE                 3              2 Outlier según 2 métodos
## 26         TRUE                 3              3 Outlier según 3 métodos
## 27         TRUE                 3              2 Outlier según 2 métodos
## 28         TRUE                 3              2 Outlier según 2 métodos
## 29         TRUE                 3              2 Outlier según 2 métodos
## 30         TRUE                 3              3 Outlier según 3 métodos
## 31         TRUE                 3              2 Outlier según 2 métodos
## 32         TRUE                 3              2 Outlier según 2 métodos
## 33         TRUE                 3              2 Outlier según 2 métodos
## 34         TRUE                 3              2 Outlier según 2 métodos
## 35         TRUE                 3              2 Outlier según 2 métodos
## 36         TRUE                 3              3 Outlier según 3 métodos
## 37         TRUE                 3              2 Outlier según 2 métodos
## 38         TRUE                 3              2 Outlier según 2 métodos
## 39         TRUE                 3              2 Outlier según 2 métodos
## 40         TRUE                 3              2 Outlier según 2 métodos
## 41         TRUE                 3              2 Outlier según 2 métodos
## 42         TRUE                 3              2 Outlier según 2 métodos
## 43         TRUE                 3              2 Outlier según 2 métodos
## 44         TRUE                 3              2 Outlier según 2 métodos
## 45         TRUE                 3              2 Outlier según 2 métodos
## 46         TRUE                 3              2 Outlier según 2 métodos
## 47         TRUE                 3              2 Outlier según 2 métodos
## 48         TRUE                 3              2 Outlier según 2 métodos
## 49         TRUE                 3              2 Outlier según 2 métodos
## 50         TRUE                 3              2 Outlier según 2 métodos
## 51         TRUE                 3              2 Outlier según 2 métodos
## 52         TRUE                 3              2 Outlier según 2 métodos
## 53         TRUE                 3              2 Outlier según 2 métodos
## 54         TRUE                 3              2 Outlier según 2 métodos
## 55         TRUE                 3              3 Outlier según 3 métodos
## 56         TRUE                 3              2 Outlier según 2 métodos
## 57         TRUE                 3              2 Outlier según 2 métodos
## 58         TRUE                 3              2 Outlier según 2 métodos
## 59         TRUE                 3              2 Outlier según 2 métodos
## 60         TRUE                 3              3 Outlier según 3 métodos
## 61         TRUE                 3              3 Outlier según 3 métodos
## 62         TRUE                 3              3 Outlier según 3 métodos
## 63         TRUE                 3              3 Outlier según 3 métodos
## 64         TRUE                 3              3 Outlier según 3 métodos
## 65         TRUE                 3              3 Outlier según 3 métodos
## 66         TRUE                 3              3 Outlier según 3 métodos
## 67         TRUE                 3              3 Outlier según 3 métodos
## 68         TRUE                 3              3 Outlier según 3 métodos
## 69         TRUE                 3              3 Outlier según 3 métodos
## 70         TRUE                 3              2 Outlier según 2 métodos
## 71         TRUE                 3              2 Outlier según 2 métodos
## 72         TRUE                 3              2 Outlier según 2 métodos
## 73         TRUE                 3              2 Outlier según 2 métodos
## 74         TRUE                 3              2 Outlier según 2 métodos
## 75         TRUE                 3              2 Outlier según 2 métodos
## 76         TRUE                 3              2 Outlier según 2 métodos
## 77         TRUE                 3              2 Outlier según 2 métodos
## 78         TRUE                 3              2 Outlier según 2 métodos
## 79         TRUE                 3              2 Outlier según 2 métodos
## 80         TRUE                 3              2 Outlier según 2 métodos
## 81         TRUE                 3              2 Outlier según 2 métodos
## 82         TRUE                 3              2 Outlier según 2 métodos
## 83         TRUE                 3              2 Outlier según 2 métodos
## 84         TRUE                 3              2 Outlier según 2 métodos
## 85         TRUE                 3              2 Outlier según 2 métodos
## 86         TRUE                 3              2 Outlier según 2 métodos
## 87         TRUE                 3              2 Outlier según 2 métodos
## 88         TRUE                 3              2 Outlier según 2 métodos
## 89         TRUE                 3              2 Outlier según 2 métodos
## 90         TRUE                 3              2 Outlier según 2 métodos
## 91         TRUE                 3              3 Outlier según 3 métodos
## 92         TRUE                 3              3 Outlier según 3 métodos
## 93         TRUE                 3              3 Outlier según 3 métodos
## 94         TRUE                 3              2 Outlier según 2 métodos
## 95         TRUE                 3              2 Outlier según 2 métodos
## 96         TRUE                 3              3 Outlier según 3 métodos
## 97         TRUE                 3              3 Outlier según 3 métodos
## 98         TRUE                 3              2 Outlier según 2 métodos
## 99         TRUE                 3              3 Outlier según 3 métodos
## 100        TRUE                 3              3 Outlier según 3 métodos
## 101        TRUE                 3              2 Outlier según 2 métodos
## 102        TRUE                 3              2 Outlier según 2 métodos
## 103        TRUE                 3              2 Outlier según 2 métodos
## 104        TRUE                 3              3 Outlier según 3 métodos
## 105        TRUE                 3              3 Outlier según 3 métodos
## 106        TRUE                 3              3 Outlier según 3 métodos
## 107        TRUE                 3              3 Outlier según 3 métodos
## 108        TRUE                 3              3 Outlier según 3 métodos
## 109        TRUE                 3              2 Outlier según 2 métodos
## 110        TRUE                 3              2 Outlier según 2 métodos
## 111        TRUE                 3              2 Outlier según 2 métodos
## 112        TRUE                 3              2 Outlier según 2 métodos
## 113        TRUE                 3              2 Outlier según 2 métodos
## 114        TRUE                 3              2 Outlier según 2 métodos
## 115        TRUE                 3              2 Outlier según 2 métodos
## 116        TRUE                 3              3 Outlier según 3 métodos
## 117        TRUE                 3              2 Outlier según 2 métodos
## 118        TRUE                 3              2 Outlier según 2 métodos
## 119        TRUE                 3              3 Outlier según 3 métodos
## 120        TRUE                 3              2 Outlier según 2 métodos
## 121        TRUE                 3              2 Outlier según 2 métodos
## 122        TRUE                 3              3 Outlier según 3 métodos
## 123        TRUE                 3              3 Outlier según 3 métodos
## 124        TRUE                 3              3 Outlier según 3 métodos
## 125        TRUE                 3              3 Outlier según 3 métodos
## 126        TRUE                 3              3 Outlier según 3 métodos
## 127        TRUE                 3              2 Outlier según 2 métodos
## 128        TRUE                 3              3 Outlier según 3 métodos
## 129        TRUE                 3              2 Outlier según 2 métodos
## 130        TRUE                 3              2 Outlier según 2 métodos
## 131       FALSE                 3              2 Outlier según 2 métodos
## 132        TRUE                 3              3 Outlier según 3 métodos
## 133       FALSE                 3              2 Outlier según 2 métodos
## 134        TRUE                 3              3 Outlier según 3 métodos
## 135       FALSE                 3              2 Outlier según 2 métodos
##     Variable
## 1       crim
## 2       crim
## 3       crim
## 4       crim
## 5       crim
## 6       crim
## 7       crim
## 8       crim
## 9       crim
## 10      crim
## 11      crim
## 12      crim
## 13      crim
## 14      crim
## 15      crim
## 16      crim
## 17      crim
## 18      crim
## 19      crim
## 20      crim
## 21      crim
## 22      crim
## 23      crim
## 24      crim
## 25      crim
## 26      crim
## 27      crim
## 28      crim
## 29      crim
## 30      crim
## 31      crim
## 32      crim
## 33      crim
## 34      crim
## 35      crim
## 36      crim
## 37      crim
## 38      crim
## 39      crim
## 40      crim
## 41      crim
## 42      crim
## 43      crim
## 44      crim
## 45      crim
## 46      crim
## 47      crim
## 48      crim
## 49      crim
## 50      crim
## 51      crim
## 52      crim
## 53      crim
## 54        rm
## 55        rm
## 56        rm
## 57        rm
## 58        rm
## 59        rm
## 60        rm
## 61        rm
## 62        rm
## 63        rm
## 64        rm
## 65        rm
## 66       dis
## 67       dis
## 68       dis
## 69       dis
## 70     black
## 71     black
## 72     black
## 73     black
## 74     black
## 75     black
## 76     black
## 77     black
## 78     black
## 79     black
## 80     black
## 81     black
## 82     black
## 83     black
## 84     black
## 85     black
## 86     black
## 87     black
## 88     black
## 89     black
## 90     black
## 91     black
## 92     black
## 93     black
## 94     black
## 95     black
## 96     black
## 97     black
## 98     black
## 99     black
## 100    black
## 101    black
## 102    black
## 103    black
## 104    black
## 105    black
## 106    black
## 107    black
## 108    black
## 109    black
## 110    black
## 111    black
## 112    black
## 113    black
## 114    black
## 115    black
## 116    black
## 117    black
## 118    black
## 119    black
## 120    black
## 121    black
## 122    black
## 123    black
## 124    black
## 125    black
## 126    black
## 127    black
## 128    black
## 129    black
## 130    black
## 131    lstat
## 132    lstat
## 133    lstat
## 134    lstat
## 135    lstat

10 7.2 Candidatos a imputar

candidatos_imputacion <- comparacion_general %>%
  filter(numero_metodos >= 2) %>%
  dplyr::select(
    Variable, ID, Valor,
    outlier_Z, outlier_IQR, outlier_MAD,
    metodos_evaluados, numero_metodos
  ) %>%
  left_join(
    referencia_ID_entrenamiento,
    by = "ID"
  )

print(candidatos_imputacion, 6)
##     Variable  ID     Valor outlier_Z outlier_IQR outlier_MAD metodos_evaluados
## 1       crim 294  13.52220     FALSE        TRUE        TRUE                 3
## 2       crim 297   9.23230     FALSE        TRUE        TRUE                 3
## 3       crim 299  11.10810     FALSE        TRUE        TRUE                 3
## 4       crim 300  18.49820     FALSE        TRUE        TRUE                 3
## 5       crim 301  19.60910     FALSE        TRUE        TRUE                 3
## 6       crim 302  15.28800     FALSE        TRUE        TRUE                 3
## 7       crim 303   9.82349     FALSE        TRUE        TRUE                 3
## 8       crim 304  23.64820     FALSE        TRUE        TRUE                 3
## 9       crim 305  88.97620      TRUE        TRUE        TRUE                 3
## 10      crim 306   9.18702     FALSE        TRUE        TRUE                 3
## 11      crim 308  24.39380     FALSE        TRUE        TRUE                 3
## 12      crim 309  22.59710     FALSE        TRUE        TRUE                 3
## 13      crim 310  14.33370     FALSE        TRUE        TRUE                 3
## 14      crim 312  11.57790     FALSE        TRUE        TRUE                 3
## 15      crim 314  13.35980     FALSE        TRUE        TRUE                 3
## 16      crim 317   9.91655     FALSE        TRUE        TRUE                 3
## 17      crim 318  25.04610     FALSE        TRUE        TRUE                 3
## 18      crim 319   9.59571     FALSE        TRUE        TRUE                 3
## 19      crim 320  24.80170     FALSE        TRUE        TRUE                 3
## 20      crim 321  41.52920      TRUE        TRUE        TRUE                 3
## 21      crim 322  67.92080      TRUE        TRUE        TRUE                 3
## 22      crim 324  51.13580      TRUE        TRUE        TRUE                 3
## 23      crim 325  14.05070     FALSE        TRUE        TRUE                 3
## 24      crim 326  18.81100     FALSE        TRUE        TRUE                 3
## 25      crim 327  28.65580     FALSE        TRUE        TRUE                 3
## 26      crim 328  45.74610      TRUE        TRUE        TRUE                 3
## 27      crim 329  18.08460     FALSE        TRUE        TRUE                 3
## 28      crim 330  10.83420     FALSE        TRUE        TRUE                 3
## 29      crim 331  25.94060     FALSE        TRUE        TRUE                 3
## 30      crim 332  73.53410      TRUE        TRUE        TRUE                 3
## 31      crim 333  11.81230     FALSE        TRUE        TRUE                 3
## 32      crim 334  11.08740     FALSE        TRUE        TRUE                 3
## 33      crim 336  12.04820     FALSE        TRUE        TRUE                 3
## 34      crim 339  15.86030     FALSE        TRUE        TRUE                 3
## 35      crim 340  12.24720     FALSE        TRUE        TRUE                 3
## 36      crim 341  37.66190      TRUE        TRUE        TRUE                 3
## 37      crim 342   9.33889     FALSE        TRUE        TRUE                 3
## 38      crim 344  10.06230     FALSE        TRUE        TRUE                 3
## 39      crim 347  13.91340     FALSE        TRUE        TRUE                 3
## 40      crim 348  11.16040     FALSE        TRUE        TRUE                 3
## 41      crim 349  14.42080     FALSE        TRUE        TRUE                 3
## 42      crim 350  13.67810     FALSE        TRUE        TRUE                 3
## 43      crim 351   9.39063     FALSE        TRUE        TRUE                 3
## 44      crim 352  22.05110     FALSE        TRUE        TRUE                 3
## 45      crim 354  12.80230     FALSE        TRUE        TRUE                 3
## 46      crim 355  10.67180     FALSE        TRUE        TRUE                 3
## 47      crim 357   9.92485     FALSE        TRUE        TRUE                 3
## 48      crim 362   9.51363     FALSE        TRUE        TRUE                 3
## 49      crim 371  15.57570     FALSE        TRUE        TRUE                 3
## 50      crim 372  13.07510     FALSE        TRUE        TRUE                 3
## 51      crim 380  15.02340     FALSE        TRUE        TRUE                 3
## 52      crim 381  10.23300     FALSE        TRUE        TRUE                 3
## 53      crim 382  14.33370     FALSE        TRUE        TRUE                 3
## 54        rm  70   8.06900     FALSE        TRUE        TRUE                 3
## 55        rm 129   8.37500      TRUE        TRUE        TRUE                 3
## 56        rm 180   8.26600     FALSE        TRUE        TRUE                 3
## 57        rm 181   8.04000     FALSE        TRUE        TRUE                 3
## 58        rm 186   8.33700     FALSE        TRUE        TRUE                 3
## 59        rm 187   8.24700     FALSE        TRUE        TRUE                 3
## 60        rm 207   8.70400      TRUE        TRUE        TRUE                 3
## 61        rm 211   8.39800      TRUE        TRUE        TRUE                 3
## 62        rm 291   8.78000      TRUE        TRUE        TRUE                 3
## 63        rm 292   3.56100      TRUE        TRUE        TRUE                 3
## 64        rm 294   3.86300      TRUE        TRUE        TRUE                 3
## 65        rm 300   4.13800      TRUE        TRUE        TRUE                 3
## 66       dis 280  10.71030      TRUE        TRUE        TRUE                 3
## 67       dis 281  12.12650      TRUE        TRUE        TRUE                 3
## 68       dis 282  10.58570      TRUE        TRUE        TRUE                 3
## 69       dis 283  10.58570      TRUE        TRUE        TRUE                 3
## 70     black  18 303.42000     FALSE        TRUE        TRUE                 3
## 71     black  19 306.38000     FALSE        TRUE        TRUE                 3
## 72     black  24 248.31000     FALSE        TRUE        TRUE                 3
## 73     black  75  70.80000     FALSE        TRUE        TRUE                 3
## 74     black 102 262.76000     FALSE        TRUE        TRUE                 3
## 75     black 112 172.91000     FALSE        TRUE        TRUE                 3
## 76     black 113 169.27000     FALSE        TRUE        TRUE                 3
## 77     black 119 261.95000     FALSE        TRUE        TRUE                 3
## 78     black 120 321.02000     FALSE        TRUE        TRUE                 3
## 79     black 121  88.01000     FALSE        TRUE        TRUE                 3
## 80     black 122  88.63000     FALSE        TRUE        TRUE                 3
## 81     black 126 338.92000     FALSE        TRUE        TRUE                 3
## 82     black 131 240.16000     FALSE        TRUE        TRUE                 3
## 83     black 133 227.61000     FALSE        TRUE        TRUE                 3
## 84     black 134 297.09000     FALSE        TRUE        TRUE                 3
## 85     black 135 292.29000     FALSE        TRUE        TRUE                 3
## 86     black 293 316.03000     FALSE        TRUE        TRUE                 3
## 87     black 294 131.42000     FALSE        TRUE        TRUE                 3
## 88     black 317 338.16000     FALSE        TRUE        TRUE                 3
## 89     black 321 329.46000     FALSE        TRUE        TRUE                 3
## 90     black 323 314.64000     FALSE        TRUE        TRUE                 3
## 91     black 324   2.60000      TRUE        TRUE        TRUE                 3
## 92     black 325  35.05000      TRUE        TRUE        TRUE                 3
## 93     black 326  28.79000      TRUE        TRUE        TRUE                 3
## 94     black 327 210.97000     FALSE        TRUE        TRUE                 3
## 95     black 328  88.27000     FALSE        TRUE        TRUE                 3
## 96     black 329  27.25000      TRUE        TRUE        TRUE                 3
## 97     black 330  21.57000      TRUE        TRUE        TRUE                 3
## 98     black 331 127.36000     FALSE        TRUE        TRUE                 3
## 99     black 332  16.45000      TRUE        TRUE        TRUE                 3
## 100    black 333  48.45000      TRUE        TRUE        TRUE                 3
## 101    black 334 318.75000     FALSE        TRUE        TRUE                 3
## 102    black 335 319.98000     FALSE        TRUE        TRUE                 3
## 103    black 336 291.55000     FALSE        TRUE        TRUE                 3
## 104    black 337   2.52000      TRUE        TRUE        TRUE                 3
## 105    black 338   3.65000      TRUE        TRUE        TRUE                 3
## 106    black 339   7.68000      TRUE        TRUE        TRUE                 3
## 107    black 340  24.65000      TRUE        TRUE        TRUE                 3
## 108    black 341  18.82000      TRUE        TRUE        TRUE                 3
## 109    black 342  60.72000     FALSE        TRUE        TRUE                 3
## 110    black 343  83.45000     FALSE        TRUE        TRUE                 3
## 111    black 344  81.33000     FALSE        TRUE        TRUE                 3
## 112    black 345  97.95000     FALSE        TRUE        TRUE                 3
## 113    black 346 100.19000     FALSE        TRUE        TRUE                 3
## 114    black 347 100.63000     FALSE        TRUE        TRUE                 3
## 115    black 348 109.85000     FALSE        TRUE        TRUE                 3
## 116    black 349  27.49000      TRUE        TRUE        TRUE                 3
## 117    black 350  68.95000     FALSE        TRUE        TRUE                 3
## 118    black 354 240.52000     FALSE        TRUE        TRUE                 3
## 119    black 355  43.06000      TRUE        TRUE        TRUE                 3
## 120    black 356 318.01000     FALSE        TRUE        TRUE                 3
## 121    black 358 304.21000     FALSE        TRUE        TRUE                 3
## 122    black 359   0.32000      TRUE        TRUE        TRUE                 3
## 123    black 362   6.68000      TRUE        TRUE        TRUE                 3
## 124    black 363  50.92000      TRUE        TRUE        TRUE                 3
## 125    black 364  10.48000      TRUE        TRUE        TRUE                 3
## 126    black 365   3.50000      TRUE        TRUE        TRUE                 3
## 127    black 369 334.40000     FALSE        TRUE        TRUE                 3
## 128    black 370  22.01000      TRUE        TRUE        TRUE                 3
## 129    black 378 302.76000     FALSE        TRUE        TRUE                 3
## 130    black 392 318.43000     FALSE        TRUE        TRUE                 3
## 131    lstat 299  34.77000      TRUE        TRUE       FALSE                 3
## 132    lstat 300  37.97000      TRUE        TRUE        TRUE                 3
## 133    lstat 326  34.37000      TRUE        TRUE       FALSE                 3
## 134    lstat 328  36.98000      TRUE        TRUE        TRUE                 3
## 135    lstat 350  34.02000      TRUE        TRUE       FALSE                 3
##     numero_metodos Fila_Boston
## 1                2         368
## 2                2         372
## 3                2         374
## 4                2         375
## 5                2         376
## 6                2         377
## 7                2         378
## 8                2         379
## 9                3         381
## 10               2         383
## 11               2         387
## 12               2         388
## 13               2         389
## 14               2         393
## 15               2         395
## 16               2         400
## 17               2         401
## 18               2         403
## 19               2         404
## 20               3         405
## 21               3         406
## 22               3         411
## 23               2         412
## 24               2         413
## 25               2         414
## 26               3         415
## 27               2         416
## 28               2         417
## 29               2         418
## 30               3         419
## 31               2         420
## 32               2         421
## 33               2         423
## 34               2         426
## 35               2         427
## 36               3         428
## 37               2         430
## 38               2         432
## 39               2         435
## 40               2         436
## 41               2         437
## 42               2         439
## 43               2         440
## 44               2         441
## 45               2         445
## 46               2         446
## 47               2         448
## 48               2         455
## 49               2         469
## 50               2         470
## 51               2         478
## 52               2         479
## 53               2         480
## 54               2          98
## 55               3         164
## 56               2         225
## 57               2         227
## 58               2         233
## 59               2         234
## 60               3         258
## 61               3         263
## 62               3         365
## 63               3         366
## 64               3         368
## 65               3         375
## 66               3         352
## 67               3         354
## 68               3         355
## 69               3         356
## 70               2          26
## 71               2          28
## 72               2          35
## 73               2         103
## 74               2         135
## 75               2         146
## 76               2         147
## 77               2         154
## 78               2         155
## 79               2         156
## 80               2         157
## 81               2         161
## 82               2         166
## 83               2         168
## 84               2         169
## 85               2         171
## 86               2         367
## 87               2         368
## 88               2         400
## 89               2         405
## 90               2         409
## 91               3         411
## 92               3         412
## 93               3         413
## 94               2         414
## 95               2         415
## 96               3         416
## 97               3         417
## 98               2         418
## 99               3         419
## 100              3         420
## 101              2         421
## 102              2         422
## 103              2         423
## 104              3         424
## 105              3         425
## 106              3         426
## 107              3         427
## 108              3         428
## 109              2         430
## 110              2         431
## 111              2         432
## 112              2         433
## 113              2         434
## 114              2         435
## 115              2         436
## 116              3         437
## 117              2         439
## 118              2         445
## 119              3         446
## 120              2         447
## 121              2         450
## 122              3         451
## 123              3         455
## 124              3         456
## 125              3         457
## 126              3         458
## 127              2         466
## 128              3         467
## 129              2         476
## 130              2         491
## 131              2         374
## 132              3         375
## 133              2         413
## 134              3         415
## 135              2         439

Interpretación: Para realizar la imputación se tomaron encuenta que que tenia que cumplir 2 métodos para realizar la imputacion de esos datos atipicos.

11 7.3 Reemplzar por NA

datos_NA <- datos_originales

stopifnot(
  all(candidatos_imputacion$Variable %in% variables),
  !anyNA(candidatos_imputacion$ID),
  all(candidatos_imputacion$ID >= 1),
  all(candidatos_imputacion$ID <= nrow(datos_NA)),
  all(
    candidatos_imputacion$ID ==
      floor(candidatos_imputacion$ID)
  )
)

#Máscara de las celdas que se modificarán
mascara_reemplazo <- matrix(
  FALSE,
  nrow = nrow(datos_NA),
  ncol = ncol(datos_NA),
  dimnames = list(NULL, names(datos_NA))
)

for (variable in unique(candidatos_imputacion$Variable)) {
  
  ids <- unique(
    candidatos_imputacion$ID[
      candidatos_imputacion$Variable == variable
    ]
  )
  
  datos_NA[ids, variable] <- NA
  mascara_reemplazo[ids, variable] <- TRUE
}

Interpretación: Los datos atipicos son reemplazados por NA, para realizar la respectiva imputacion mediante los métodos que veremos mas adelante.

resumen_NA <- data.frame(
  Variable = names(datos_NA),
  NA_originales = colSums(is.na(datos_originales)),
  NA_despues = colSums(is.na(datos_NA))
)

resumen_NA$Nuevos_NA <-
  resumen_NA$NA_despues - resumen_NA$NA_originales

print(resumen_NA)
##         Variable NA_originales NA_despues Nuevos_NA
## crim        crim             0         53        53
## zn            zn             0          0         0
## indus      indus             0          0         0
## chas        chas             0          0         0
## nox          nox             0          0         0
## rm            rm             0         12        12
## age          age             0          0         0
## dis          dis             0          4         4
## rad          rad             0          0         0
## tax          tax             0          0         0
## ptratio  ptratio             0          0         0
## black      black             0         61        61
## lstat      lstat             0          5         5
## medv        medv             0          0         0
cat(
  "\nTotal de celdas reemplazadas:",
  sum(resumen_NA$Nuevos_NA), "\n"
)
## 
## Total de celdas reemplazadas: 135
#Visualizar faltantes
print(visdat::vis_miss(datos_NA))

sum(is.na(datos_NA))
## [1] 135
sapply(datos_NA, function(x) sum(is.na(x)))
##    crim      zn   indus    chas     nox      rm     age     dis     rad     tax 
##      53       0       0       0       0      12       0       4       0       0 
## ptratio   black   lstat    medv 
##       0      61       5       0

Interpretación: Se puede observar en la grafica que hay presencia de valores Na en las variables: crim, rm, age, black y lstat. Las cuales tendremos qeu imputar.

12 8. Imputacion de los valores NA

library(mice)
## 
## Adjuntando el paquete: 'mice'
## The following object is masked from 'package:stats':
## 
##     filter
## The following objects are masked from 'package:base':
## 
##     cbind, rbind
library(missForest)
library(ggplot2)
library(dplyr)
library(patchwork)
stopifnot(
  exists("datos_NA"),
  exists("datos_originales"),
  exists("data.trn"),
  exists("data.tst"),
  identical(datos_originales, data.trn),
  identical(datos_NA$medv, datos_originales$medv),
  identical(datos_NA$chas, datos_originales$chas)
)

prueba_sin_cambios <- data.tst

variables_imputacion <- setdiff(
  names(datos_NA),
  c("medv", "chas")
)

#medv no participa en los modelos de imputación.
#chas se conserva como predictor categórico.
base_imputacion <- datos_NA[
  , setdiff(names(datos_NA), "medv"),
  drop = FALSE
]

base_imputacion$chas <- factor(
  base_imputacion$chas,
  levels = c(0, 1)
)

stopifnot(!anyNA(base_imputacion$chas))

for (v in variables_imputacion) {
  
  observados <- base_imputacion[[v]][
    !is.na(base_imputacion[[v]])
  ]
  
  if (
    length(observados) < 2 ||
    any(!is.finite(observados))
  ) {
    stop(paste("Datos observados insuficientes o inválidos en", v))
  }
}
reconstruir_base <- function(base) {
  
  stopifnot(
    nrow(base) == nrow(datos_NA),
    all(variables_imputacion %in% names(base))
  )
  
  salida <- datos_NA
  
  for (v in variables_imputacion) {
    
    pendientes <- is.na(datos_NA[[v]])
    observados <- !pendientes
    
    reemplazos <- base[[v]][pendientes]
    
    if (
      !is.numeric(reemplazos) ||
      any(!is.finite(reemplazos))
    ) {
      stop(paste("Reemplazos inválidos en", v))
    }
    
    #Copiar únicamente los valores de las celdas faltantes
    salida[[v]][pendientes] <- reemplazos
    
    #Comparar valores, permitiendo conversión entero/decimal
    if (!isTRUE(all.equal(
      as.numeric(salida[[v]][observados]),
      as.numeric(datos_NA[[v]][observados]),
      tolerance = 0,
      check.attributes = FALSE
    ))) {
      stop(paste("Se modificaron valores observados en", v))
    }
  }
  
  stopifnot(
    identical(salida$medv, datos_NA$medv),
    identical(salida$chas, datos_NA$chas),
    nrow(salida) == nrow(datos_NA),
    all(is.finite(as.matrix(salida)))
  )
  
  salida
}

13 8.1 Regresión Lineal

reg_predictoras <- base_imputacion

mascara_NA <- is.na(
  as.matrix(base_imputacion[variables_imputacion])
)

#Inicializar faltantes por mediana
for (v in variables_imputacion) {
  
  reg_predictoras[[v]][mascara_NA[, v]] <-
    median(base_imputacion[[v]], na.rm = TRUE)
}

modelos_regresion <- list()
registro_regresion <- list()

escalas <- vapply(
  base_imputacion[variables_imputacion],
  sd,
  numeric(1),
  na.rm = TRUE
)

escalas[!is.finite(escalas) | escalas == 0] <- 1

convergio <- FALSE

for (iteracion in seq_len(100)) {
  
  anterior <- as.matrix(
    reg_predictoras[variables_imputacion]
  )
  
  for (v in variables_imputacion) {
    
    pendientes <- mascara_NA[, v]
    
    if (!any(pendientes)) next
    
    observados <- !pendientes
    predictores <- setdiff(names(reg_predictoras), v)
    
    #Excluir predictores constantes
    predictores <- predictores[
      vapply(
        reg_predictoras[observados, predictores, drop = FALSE],
        function(x) length(unique(x)) > 1,
        logical(1)
      )
    ]
    
    if (!length(predictores)) {
      stop(paste("Sin predictores disponibles para", v))
    }
    
    #Ajustar solamente sobre respuestas observadas
    modelo <- lm(
      reformulate(predictores, response = v),
      data = reg_predictoras[observados, , drop = FALSE]
    )
    
    pred <- predict(
      modelo,
      newdata = reg_predictoras[pendientes, , drop = FALSE]
    )
    
    if (any(!is.finite(pred))) {
      stop(paste("Predicciones inválidas en", v))
    }
    
    reg_predictoras[[v]][pendientes] <- as.numeric(pred)
    modelos_regresion[[v]] <- modelo
  }
  
  cambio <- max(abs(
    sweep(
      as.matrix(reg_predictoras[variables_imputacion]) - anterior,
      2,
      escalas,
      "/"
    )
  ))
  
  registro_regresion[[iteracion]] <- data.frame(
    Iteracion = iteracion,
    Cambio_estandarizado = cambio
  )
  
  if (cambio < 1e-6) {
    convergio <- TRUE
    break
  }
}

if (!convergio) {
  stop("La regresión no convergió en 100 iteraciones.")
}

reg <- reconstruir_base(reg_predictoras)

cat("\n=== NA DESPUÉS DE REGRESIÓN ===\n")
## 
## === NA DESPUÉS DE REGRESIÓN ===
print(colSums(is.na(reg)))
##    crim      zn   indus    chas     nox      rm     age     dis     rad     tax 
##       0       0       0       0       0       0       0       0       0       0 
## ptratio   black   lstat    medv 
##       0       0       0       0
print(bind_rows(registro_regresion))
##    Iteracion Cambio_estandarizado
## 1          1         2.892267e+00
## 2          2         3.233375e-01
## 3          3         1.190805e-01
## 4          4         3.585483e-02
## 5          5         1.060387e-02
## 6          6         3.127719e-03
## 7          7         9.221043e-04
## 8          8         2.718225e-04
## 9          9         8.012711e-05
## 10        10         2.361950e-05
## 11        11         6.962433e-06
## 12        12         2.052349e-06
## 13        13         6.049805e-07

MICE

columnas_NA <- variables_imputacion[
  colSums(is.na(base_imputacion[variables_imputacion])) > 0
]

crear_metodo <- function(nombre) {
  
  metodo <- setNames(
    rep("", ncol(base_imputacion)),
    names(base_imputacion)
  )
  
  metodo[columnas_NA] <- nombre
  
  metodo
}

predictores_mice <- mice::make.predictorMatrix(
  base_imputacion
)

diag(predictores_mice) <- 0

#chas se utiliza como predictor, pero no se imputa
predictores_mice["chas", ] <- 0

14 8.2 Mice norm

imp_norm <- mice::mice(
  base_imputacion,
  method = crear_metodo("norm"),
  predictorMatrix = predictores_mice,
  m = 5,
  maxit = 10,
  seed = 123,
  printFlag = FALSE
)

norm <- reconstruir_base(
  mice::complete(imp_norm, 1)
)

print(colSums(is.na(norm)))
##    crim      zn   indus    chas     nox      rm     age     dis     rad     tax 
##       0       0       0       0       0       0       0       0       0       0 
## ptratio   black   lstat    medv 
##       0       0       0       0

15 8.3 Mice pmm

imp_pmm <- mice::mice(
  base_imputacion,
  method = crear_metodo("pmm"),
  predictorMatrix = predictores_mice,
  m = 5,
  maxit = 10,
  seed = 123,
  printFlag = FALSE
)

pmm <- reconstruir_base(
  mice::complete(imp_pmm, 1)
)

print(colSums(is.na(pmm)))
##    crim      zn   indus    chas     nox      rm     age     dis     rad     tax 
##       0       0       0       0       0       0       0       0       0       0 
## ptratio   black   lstat    medv 
##       0       0       0       0

16 8.3 Mice cart

imp_cart <- mice::mice(
  base_imputacion,
  method = crear_metodo("cart"),
  predictorMatrix = predictores_mice,
  m = 5,
  maxit = 10,
  seed = 123,
  printFlag = FALSE
)

cart <- reconstruir_base(
  mice::complete(imp_cart, 1)
)

print(colSums(is.na(cart)))
##    crim      zn   indus    chas     nox      rm     age     dis     rad     tax 
##       0       0       0       0       0       0       0       0       0       0 
## ptratio   black   lstat    medv 
##       0       0       0       0

17 8.4 Mice random forest

imp_rf <- mice::mice(
  base_imputacion,
  method = crear_metodo("rf"),
  predictorMatrix = predictores_mice,
  m = 5,
  maxit = 10,
  seed = 123,
  printFlag = FALSE
)

rf <- reconstruir_base(
  mice::complete(imp_rf, 1)
)

print(colSums(is.na(rf)))
##    crim      zn   indus    chas     nox      rm     age     dis     rad     tax 
##       0       0       0       0       0       0       0       0       0       0 
## ptratio   black   lstat    medv 
##       0       0       0       0
#Revisar eventos registrados por MICE
objetos_mice <- list(
  NORM = imp_norm,
  PMM = imp_pmm,
  CART = imp_cart,
  RF = imp_rf
)

for (nombre in names(objetos_mice)) {
  
  eventos <- objetos_mice[[nombre]]$loggedEvents
  
  if (!is.null(eventos)) {
    cat("\nEventos MICE:", nombre, "\n")
    print(eventos)
  }
}

18 8.5 Mice forest

set.seed(123)

if (anyNA(base_imputacion)) {
  
  ajuste_forest <- missForest::missForest(
    base_imputacion,
    maxiter = 10,
    ntree = 100,
    verbose = FALSE
  )
  
  forest <- reconstruir_base(
    as.data.frame(ajuste_forest$ximp)
  )
  
} else {
  
  forest <- reconstruir_base(base_imputacion)
}

print(colSums(is.na(forest)))
##    crim      zn   indus    chas     nox      rm     age     dis     rad     tax 
##       0       0       0       0       0       0       0       0       0       0 
## ptratio   black   lstat    medv 
##       0       0       0       0
metodos <- list(
  Regresion = reg,
  NORM = norm,
  PMM = pmm,
  CART = cart,
  RF = rf,
  missForest = forest
)

19 8.6 Comparación de los métodos

#Estas medidas describen la magnitud del reemplazo.
#NO son errores frente a un valor verdadero conocido.

evaluar <- function(base, nombre) {
  
  bind_rows(lapply(variables_imputacion, function(v) {
    
    ids <- which(is.na(datos_NA[[v]]))
    
    diferencia <- base[[v]][ids] -
      datos_originales[[v]][ids]
    
    data.frame(
      Metodo = nombre,
      Variable = v,
      N_reemplazos = length(ids),
      RMSE_cambio = if (length(ids) > 0) {
        sqrt(mean(diferencia^2))
      } else {
        NA_real_
      },
      MAE_cambio = if (length(ids) > 0) {
        mean(abs(diferencia))
      } else {
        NA_real_
      }
    )
  }))
}

comparacion_imputacion <- bind_rows(
  lapply(names(metodos), function(nombre) {
    evaluar(metodos[[nombre]], nombre)
  })
)

print(comparacion_imputacion)
##        Metodo Variable N_reemplazos RMSE_cambio MAE_cambio
## 1   Regresion     crim           53   22.234205  14.614125
## 2   Regresion       zn            0          NA         NA
## 3   Regresion    indus            0          NA         NA
## 4   Regresion      nox            0          NA         NA
## 5   Regresion       rm           12    1.822594   1.734435
## 6   Regresion      age            0          NA         NA
## 7   Regresion      dis            4    3.413406   3.295178
## 8   Regresion      rad            0          NA         NA
## 9   Regresion      tax            0          NA         NA
## 10  Regresion  ptratio            0          NA         NA
## 11  Regresion    black           61  262.597394 230.737609
## 12  Regresion    lstat            5   13.304295  12.690558
## 13       NORM     crim           53   22.388318  14.750201
## 14       NORM       zn            0          NA         NA
## 15       NORM    indus            0          NA         NA
## 16       NORM      nox            0          NA         NA
## 17       NORM       rm           12    1.897866   1.800804
## 18       NORM      age            0          NA         NA
## 19       NORM      dis            4    3.511111   3.427218
## 20       NORM      rad            0          NA         NA
## 21       NORM      tax            0          NA         NA
## 22       NORM  ptratio            0          NA         NA
## 23       NORM    black           61  262.402817 230.946219
## 24       NORM    lstat            5   16.475687  13.725797
## 25        PMM     crim           53   22.042027  14.332018
## 26        PMM       zn            0          NA         NA
## 27        PMM    indus            0          NA         NA
## 28        PMM      nox            0          NA         NA
## 29        PMM       rm           12    1.683265   1.591333
## 30        PMM      age            0          NA         NA
## 31        PMM      dis            4    3.828083   3.318675
## 32        PMM      rad            0          NA         NA
## 33        PMM      tax            0          NA         NA
## 34        PMM  ptratio            0          NA         NA
## 35        PMM    black           61  268.522668 235.878852
## 36        PMM    lstat            5   14.765803  12.414000
## 37       CART     crim           53   21.570972  13.582094
## 38       CART       zn            0          NA         NA
## 39       CART    indus            0          NA         NA
## 40       CART      nox            0          NA         NA
## 41       CART       rm           12    1.802376   1.492583
## 42       CART      age            0          NA         NA
## 43       CART      dis            4    4.168416   3.808650
## 44       CART      rad            0          NA         NA
## 45       CART      tax            0          NA         NA
## 46       CART  ptratio            0          NA         NA
## 47       CART    black           61  261.943981 228.094426
## 48       CART    lstat            5   15.620019  13.420000
## 49         RF     crim           53   21.733961  14.104171
## 50         RF       zn            0          NA         NA
## 51         RF    indus            0          NA         NA
## 52         RF      nox            0          NA         NA
## 53         RF       rm           12    1.809979   1.547917
## 54         RF      age            0          NA         NA
## 55         RF      dis            4    3.392966   3.313725
## 56         RF      rad            0          NA         NA
## 57         RF      tax            0          NA         NA
## 58         RF  ptratio            0          NA         NA
## 59         RF    black           61  263.991817 231.465738
## 60         RF    lstat            5   14.342764  13.536000
## 61 missForest     crim           53   21.884830  14.191288
## 62 missForest       zn            0          NA         NA
## 63 missForest    indus            0          NA         NA
## 64 missForest      nox            0          NA         NA
## 65 missForest       rm           12    1.648060   1.570153
## 66 missForest      age            0          NA         NA
## 67 missForest      dis            4    3.941290   3.864620
## 68 missForest      rad            0          NA         NA
## 69 missForest      tax            0          NA         NA
## 70 missForest  ptratio            0          NA         NA
## 71 missForest    black           61  261.294243 228.779154
## 72 missForest    lstat            5   14.808829  14.598034
# ============================================================
# R² DE LA REGRESIÓN SOBRE medv
# ============================================================
#Ajuste dentro del entrenamiento; no evaluación en prueba.

comparacion_R2 <- bind_rows(
  lapply(names(metodos), function(nombre) {
    
    modelo <- lm(
      medv ~ .,
      data = metodos[[nombre]]
    )
    
    data.frame(
      Metodo = nombre,
      R2_entrenamiento = summary(modelo)$r.squared,
      R2_ajustado = summary(modelo)$adj.r.squared
    )
  })
)

print(comparacion_R2)
##       Metodo R2_entrenamiento R2_ajustado
## 1  Regresion        0.7296629   0.7206517
## 2       NORM        0.7152224   0.7057299
## 3        PMM        0.7247811   0.7156072
## 4       CART        0.7263245   0.7172019
## 5         RF        0.7362946   0.7275045
## 6 missForest        0.7346034   0.7257568

20 9. Graficamos la imputación

lista_comparar_imputacion <- c(
  list(Original = datos_originales),
  metodos
)

datos_total <- bind_rows(
  lapply(names(lista_comparar_imputacion), function(nombre) {
    
    base <- lista_comparar_imputacion[[nombre]]
    base$Metodo <- nombre
    
    base
  })
)

datos_total$Metodo <- factor(
  datos_total$Metodo,
  levels = names(lista_comparar_imputacion)
)
graficos_imputacion <- list()

for (v in variables_imputacion) {
  
  #Densidad: ancho de banda común
  ancho <- bw.nrd0(datos_originales[[v]])
  
  g_densidad <- ggplot(
    datos_total,
    aes(x = .data[[v]], colour = Metodo)
  ) +
    geom_density(bw = ancho) +
    labs(
      title = paste("Densidad:", v),
      x = v,
      y = "Densidad"
    ) +
    theme_minimal()
  
  #Histograma: cortes comunes
  rango <- range(datos_total[[v]])
  
  if (diff(rango) == 0) {
    rango <- rango + c(-0.5, 0.5)
  }
  
  cortes <- seq(
    rango[1], rango[2],
    length.out = 31
  )
  
  g_histograma <- ggplot(
    datos_total,
    aes(x = .data[[v]], fill = Metodo)
  ) +
    geom_histogram(
      breaks = cortes,
      alpha = 0.30,
      position = "identity"
    ) +
    labs(
      title = paste("Histograma:", v),
      x = v,
      y = "Frecuencia"
    ) +
    theme_minimal()
  
  #Boxplot
  g_boxplot <- ggplot(
    datos_total,
    aes(x = Metodo, y = .data[[v]], fill = Metodo)
  ) +
    geom_boxplot(show.legend = FALSE) +
    labs(
      title = paste("Boxplot:", v),
      x = NULL,
      y = v
    ) +
    theme_minimal() +
    theme(
      axis.text.x = element_text(angle = 45, hjust = 1)
    )
  
  #Violin plot
  g_violin <- ggplot(
    datos_total,
    aes(x = Metodo, y = .data[[v]], fill = Metodo)
  ) +
    geom_violin(trim = TRUE, show.legend = FALSE) +
    geom_boxplot(
      width = 0.10,
      fill = "white",
      outlier.shape = NA,
      show.legend = FALSE
    ) +
    labs(
      title = paste("Violin plot:", v),
      x = NULL,
      y = v
    ) +
    theme_minimal() +
    theme(
      axis.text.x = element_text(angle = 45, hjust = 1)
    )
  
  panel_imputacion <- patchwork::wrap_plots(
    g_densidad,
    g_histograma,
    g_boxplot,
    g_violin,
    ncol = 2,
    nrow = 2
  ) +
    patchwork::plot_annotation(
      title = paste("Original vs imputaciones:", v)
    )
  
  graficos_imputacion[[v]] <- panel_imputacion
  
  print(panel_imputacion)
}

Interpretación: Realizando la imputación con respecto a los métodos, se observo que: - La variable crim, el mejor método de imputación es Random Forest. - La variable lstat, el mejor método de imputación es Random Forest. - La variable indus, el mejor método de imputación es Random Forest.

21 9.1 Tabla de resumen

resumenes_imputacion <- list()

for (v in variables_imputacion) {
  
  res <- datos_total %>%
    group_by(Metodo) %>%
    summarise(
      N = n(),
      Media = mean(.data[[v]]),
      Mediana = median(.data[[v]]),
      SD = sd(.data[[v]]),
      Min = min(.data[[v]]),
      Max = max(.data[[v]]),
      .groups = "drop"
    ) %>%
    mutate(Variable = v, .before = 1)
  
  resumenes_imputacion[[v]] <- res
  
  cat("\nVariable:", v, "\n")
  print(res)
}
## 
## Variable: crim 
## # A tibble: 7 × 8
##   Variable Metodo         N Media Mediana    SD     Min   Max
##   <chr>    <fct>      <int> <dbl>   <dbl> <dbl>   <dbl> <dbl>
## 1 crim     Original     404  3.73   0.256  9.13 0.00632 89.0 
## 2 crim     Regresion    404  1.82   0.256  2.54 0.00632  8.98
## 3 crim     NORM         404  1.80   0.256  2.54 0.00632  8.98
## 4 crim     PMM          404  1.85   0.256  2.67 0.00632  8.98
## 5 crim     CART         404  1.95   0.256  2.83 0.00632  8.98
## 6 crim     RF           404  1.88   0.256  2.73 0.00632  8.98
## 7 crim     missForest   404  1.87   0.256  2.64 0.00632  8.98
## 
## Variable: zn 
## # A tibble: 7 × 8
##   Variable Metodo         N Media Mediana    SD   Min   Max
##   <chr>    <fct>      <int> <dbl>   <dbl> <dbl> <dbl> <dbl>
## 1 zn       Original     404  11.4       0  24.1     0   100
## 2 zn       Regresion    404  11.4       0  24.1     0   100
## 3 zn       NORM         404  11.4       0  24.1     0   100
## 4 zn       PMM          404  11.4       0  24.1     0   100
## 5 zn       CART         404  11.4       0  24.1     0   100
## 6 zn       RF           404  11.4       0  24.1     0   100
## 7 zn       missForest   404  11.4       0  24.1     0   100
## 
## Variable: indus 
## # A tibble: 7 × 8
##   Variable Metodo         N Media Mediana    SD   Min   Max
##   <chr>    <fct>      <int> <dbl>   <dbl> <dbl> <dbl> <dbl>
## 1 indus    Original     404  11.4     9.9  7.01  0.46  27.7
## 2 indus    Regresion    404  11.4     9.9  7.01  0.46  27.7
## 3 indus    NORM         404  11.4     9.9  7.01  0.46  27.7
## 4 indus    PMM          404  11.4     9.9  7.01  0.46  27.7
## 5 indus    CART         404  11.4     9.9  7.01  0.46  27.7
## 6 indus    RF           404  11.4     9.9  7.01  0.46  27.7
## 7 indus    missForest   404  11.4     9.9  7.01  0.46  27.7
## 
## Variable: nox 
## # A tibble: 7 × 8
##   Variable Metodo         N Media Mediana    SD   Min   Max
##   <chr>    <fct>      <int> <dbl>   <dbl> <dbl> <dbl> <dbl>
## 1 nox      Original     404 0.557   0.538 0.118 0.385 0.871
## 2 nox      Regresion    404 0.557   0.538 0.118 0.385 0.871
## 3 nox      NORM         404 0.557   0.538 0.118 0.385 0.871
## 4 nox      PMM          404 0.557   0.538 0.118 0.385 0.871
## 5 nox      CART         404 0.557   0.538 0.118 0.385 0.871
## 6 nox      RF           404 0.557   0.538 0.118 0.385 0.871
## 7 nox      missForest   404 0.557   0.538 0.118 0.385 0.871
## 
## Variable: rm 
## # A tibble: 7 × 8
##   Variable Metodo         N Media Mediana    SD   Min   Max
##   <chr>    <fct>      <int> <dbl>   <dbl> <dbl> <dbl> <dbl>
## 1 rm       Original     404  6.29    6.21 0.692  3.56  8.78
## 2 rm       Regresion    404  6.27    6.21 0.588  4.52  7.93
## 3 rm       NORM         404  6.27    6.21 0.589  4.52  7.93
## 4 rm       PMM          404  6.28    6.21 0.591  4.52  7.93
## 5 rm       CART         404  6.29    6.22 0.607  4.52  7.93
## 6 rm       RF           404  6.29    6.21 0.606  4.52  7.93
## 7 rm       missForest   404  6.27    6.21 0.591  4.52  7.93
## 
## Variable: age 
## # A tibble: 7 × 8
##   Variable Metodo         N Media Mediana    SD   Min   Max
##   <chr>    <fct>      <int> <dbl>   <dbl> <dbl> <dbl> <dbl>
## 1 age      Original     404  69.2    77.8  27.7   2.9   100
## 2 age      Regresion    404  69.2    77.8  27.7   2.9   100
## 3 age      NORM         404  69.2    77.8  27.7   2.9   100
## 4 age      PMM          404  69.2    77.8  27.7   2.9   100
## 5 age      CART         404  69.2    77.8  27.7   2.9   100
## 6 age      RF           404  69.2    77.8  27.7   2.9   100
## 7 age      missForest   404  69.2    77.8  27.7   2.9   100
## 
## Variable: dis 
## # A tibble: 7 × 8
##   Variable Metodo         N Media Mediana    SD   Min   Max
##   <chr>    <fct>      <int> <dbl>   <dbl> <dbl> <dbl> <dbl>
## 1 dis      Original     404  3.76    3.11  2.11  1.13 12.1 
## 2 dis      Regresion    404  3.73    3.11  2.02  1.13  9.22
## 3 dis      NORM         404  3.73    3.11  2.02  1.13  9.22
## 4 dis      PMM          404  3.73    3.11  2.02  1.13  9.22
## 5 dis      CART         404  3.72    3.11  2.01  1.13  9.22
## 6 dis      RF           404  3.73    3.11  2.02  1.13  9.22
## 7 dis      missForest   404  3.72    3.11  2.01  1.13  9.22
## 
## Variable: rad 
## # A tibble: 7 × 8
##   Variable Metodo         N Media Mediana    SD   Min   Max
##   <chr>    <fct>      <int> <dbl>   <dbl> <dbl> <dbl> <dbl>
## 1 rad      Original     404  9.55       5  8.74     1    24
## 2 rad      Regresion    404  9.55       5  8.74     1    24
## 3 rad      NORM         404  9.55       5  8.74     1    24
## 4 rad      PMM          404  9.55       5  8.74     1    24
## 5 rad      CART         404  9.55       5  8.74     1    24
## 6 rad      RF           404  9.55       5  8.74     1    24
## 7 rad      missForest   404  9.55       5  8.74     1    24
## 
## Variable: tax 
## # A tibble: 7 × 8
##   Variable Metodo         N Media Mediana    SD   Min   Max
##   <chr>    <fct>      <int> <dbl>   <dbl> <dbl> <dbl> <dbl>
## 1 tax      Original     404  413.    346.  168.   187   711
## 2 tax      Regresion    404  413.    346.  168.   187   711
## 3 tax      NORM         404  413.    346.  168.   187   711
## 4 tax      PMM          404  413.    346.  168.   187   711
## 5 tax      CART         404  413.    346.  168.   187   711
## 6 tax      RF           404  413.    346.  168.   187   711
## 7 tax      missForest   404  413.    346.  168.   187   711
## 
## Variable: ptratio 
## # A tibble: 7 × 8
##   Variable Metodo         N Media Mediana    SD   Min   Max
##   <chr>    <fct>      <int> <dbl>   <dbl> <dbl> <dbl> <dbl>
## 1 ptratio  Original     404  18.4      19  2.17  12.6    22
## 2 ptratio  Regresion    404  18.4      19  2.17  12.6    22
## 3 ptratio  NORM         404  18.4      19  2.17  12.6    22
## 4 ptratio  PMM          404  18.4      19  2.17  12.6    22
## 5 ptratio  CART         404  18.4      19  2.17  12.6    22
## 6 ptratio  RF           404  18.4      19  2.17  12.6    22
## 7 ptratio  missForest   404  18.4      19  2.17  12.6    22
## 
## Variable: black 
## # A tibble: 7 × 8
##   Variable Metodo         N Media Mediana    SD    Min   Max
##   <chr>    <fct>      <int> <dbl>   <dbl> <dbl>  <dbl> <dbl>
## 1 black    Original     404  352.    391.  97.5   0.32  397.
## 2 black    Regresion    404  387.    391.  11.7 342.    397.
## 3 black    NORM         404  387.    392.  12.5 342.    414.
## 4 black    PMM          404  388.    393.  12.3 342.    397.
## 5 black    CART         404  387.    393.  13.4 342.    397.
## 6 black    RF           404  387.    393.  13.0 342.    397.
## 7 black    missForest   404  387.    391.  11.8 342.    397.
## 
## Variable: lstat 
## # A tibble: 7 × 8
##   Variable Metodo         N Media Mediana    SD   Min   Max
##   <chr>    <fct>      <int> <dbl>   <dbl> <dbl> <dbl> <dbl>
## 1 lstat    Original     404  12.5    11.4  7.04  1.73  38.0
## 2 lstat    Regresion    404  12.4    11.4  6.66  1.73  32.0
## 3 lstat    NORM         404  12.4    11.4  6.70  1.73  32.0
## 4 lstat    PMM          404  12.4    11.4  6.71  1.73  32.0
## 5 lstat    CART         404  12.4    11.4  6.69  1.73  32.0
## 6 lstat    RF           404  12.4    11.4  6.66  1.73  32.0
## 7 lstat    missForest   404  12.4    11.4  6.62  1.73  32.0
tabla_descriptivos <- bind_rows(resumenes_imputacion)
tabla_descriptivos
## # A tibble: 84 × 8
##    Variable Metodo         N Media Mediana    SD     Min    Max
##    <chr>    <fct>      <int> <dbl>   <dbl> <dbl>   <dbl>  <dbl>
##  1 crim     Original     404  3.73   0.256  9.13 0.00632  89.0 
##  2 crim     Regresion    404  1.82   0.256  2.54 0.00632   8.98
##  3 crim     NORM         404  1.80   0.256  2.54 0.00632   8.98
##  4 crim     PMM          404  1.85   0.256  2.67 0.00632   8.98
##  5 crim     CART         404  1.95   0.256  2.83 0.00632   8.98
##  6 crim     RF           404  1.88   0.256  2.73 0.00632   8.98
##  7 crim     missForest   404  1.87   0.256  2.64 0.00632   8.98
##  8 zn       Original     404 11.4    0     24.1  0       100   
##  9 zn       Regresion    404 11.4    0     24.1  0       100   
## 10 zn       NORM         404 11.4    0     24.1  0       100   
## # ℹ 74 more rows

22 9.2 Normalidad de los datos

# ============================================================
# KOLMOGOROV–SMIRNOV: DISTANCIA DESCRIPTIVA D
# ============================================================
#No se reporta p.value:
#las bases comparten observaciones y no son independientes.

distancia_KS <- function(x, y) {
  
  puntos <- sort(unique(c(x, y)))
  
  max(abs(
    ecdf(x)(puntos) - ecdf(y)(puntos)
  ))
}

resultadoKS <- bind_rows(
  lapply(variables_imputacion, function(v) {
    
    bind_rows(lapply(names(metodos), function(nombre) {
      
      data.frame(
        Variable = v,
        Metodo = nombre,
        D = distancia_KS(
          datos_originales[[v]],
          metodos[[nombre]][[v]]
        )
      )
    }))
  })
)

print(resultadoKS)
##    Variable     Metodo          D
## 1      crim  Regresion 0.13118812
## 2      crim       NORM 0.13118812
## 3      crim        PMM 0.13118812
## 4      crim       CART 0.13118812
## 5      crim         RF 0.13118812
## 6      crim missForest 0.13118812
## 7        zn  Regresion 0.00000000
## 8        zn       NORM 0.00000000
## 9        zn        PMM 0.00000000
## 10       zn       CART 0.00000000
## 11       zn         RF 0.00000000
## 12       zn missForest 0.00000000
## 13    indus  Regresion 0.00000000
## 14    indus       NORM 0.00000000
## 15    indus        PMM 0.00000000
## 16    indus       CART 0.00000000
## 17    indus         RF 0.00000000
## 18    indus missForest 0.00000000
## 19      nox  Regresion 0.00000000
## 20      nox       NORM 0.00000000
## 21      nox        PMM 0.00000000
## 22      nox       CART 0.00000000
## 23      nox         RF 0.00000000
## 24      nox missForest 0.00000000
## 25       rm  Regresion 0.02227723
## 26       rm       NORM 0.02227723
## 27       rm        PMM 0.02227723
## 28       rm       CART 0.02227723
## 29       rm         RF 0.02227723
## 30       rm missForest 0.02227723
## 31      age  Regresion 0.00000000
## 32      age       NORM 0.00000000
## 33      age        PMM 0.00000000
## 34      age       CART 0.00000000
## 35      age         RF 0.00000000
## 36      age missForest 0.00000000
## 37      dis  Regresion 0.00990099
## 38      dis       NORM 0.00990099
## 39      dis        PMM 0.00990099
## 40      dis       CART 0.00990099
## 41      dis         RF 0.00990099
## 42      dis missForest 0.00990099
## 43      rad  Regresion 0.00000000
## 44      rad       NORM 0.00000000
## 45      rad        PMM 0.00000000
## 46      rad       CART 0.00000000
## 47      rad         RF 0.00000000
## 48      rad missForest 0.00000000
## 49      tax  Regresion 0.00000000
## 50      tax       NORM 0.00000000
## 51      tax        PMM 0.00000000
## 52      tax       CART 0.00000000
## 53      tax         RF 0.00000000
## 54      tax missForest 0.00000000
## 55  ptratio  Regresion 0.00000000
## 56  ptratio       NORM 0.00000000
## 57  ptratio        PMM 0.00000000
## 58  ptratio       CART 0.00000000
## 59  ptratio         RF 0.00000000
## 60  ptratio missForest 0.00000000
## 61    black  Regresion 0.15099010
## 62    black       NORM 0.15099010
## 63    black        PMM 0.15099010
## 64    black       CART 0.15099010
## 65    black         RF 0.15099010
## 66    black missForest 0.15099010
## 67    lstat  Regresion 0.01237624
## 68    lstat       NORM 0.01237624
## 69    lstat        PMM 0.01237624
## 70    lstat       CART 0.01237624
## 71    lstat         RF 0.01237624
## 72    lstat missForest 0.01237624

23 10. Correlación de los datos

resultadoCor <- bind_rows(
  lapply(variables_imputacion, function(v) {
    
    bind_rows(lapply(names(metodos), function(nombre) {
      
      x <- datos_originales[[v]]
      y <- metodos[[nombre]][[v]]
      
      correlacion <- if (sd(x) > 0 && sd(y) > 0) {
        cor(x, y)
      } else {
        NA_real_
      }
      
      data.frame(
        Variable = v,
        Metodo = nombre,
        Correlacion = correlacion
      )
    }))
  })
)

print(resultadoCor)
##    Variable     Metodo Correlacion
## 1      crim  Regresion   0.6135673
## 2      crim       NORM   0.5960956
## 3      crim        PMM   0.6180865
## 4      crim       CART   0.6450546
## 5      crim         RF   0.6443294
## 6      crim missForest   0.6395918
## 7        zn  Regresion   1.0000000
## 8        zn       NORM   1.0000000
## 9        zn        PMM   1.0000000
## 10       zn       CART   1.0000000
## 11       zn         RF   1.0000000
## 12       zn missForest   1.0000000
## 13    indus  Regresion   1.0000000
## 14    indus       NORM   1.0000000
## 15    indus        PMM   1.0000000
## 16    indus       CART   1.0000000
## 17    indus         RF   1.0000000
## 18    indus missForest   1.0000000
## 19      nox  Regresion   1.0000000
## 20      nox       NORM   1.0000000
## 21      nox        PMM   1.0000000
## 22      nox       CART   1.0000000
## 23      nox         RF   1.0000000
## 24      nox missForest   1.0000000
## 25       rm  Regresion   0.8918824
## 26       rm       NORM   0.8815685
## 27       rm        PMM   0.9094062
## 28       rm       CART   0.8933577
## 29       rm         RF   0.8924348
## 30       rm missForest   0.9137469
## 31      age  Regresion   1.0000000
## 32      age       NORM   1.0000000
## 33      age        PMM   1.0000000
## 34      age       CART   1.0000000
## 35      age         RF   1.0000000
## 36      age missForest   1.0000000
## 37      dis  Regresion   0.9874663
## 38      dis       NORM   0.9866970
## 39      dis        PMM   0.9838905
## 40      dis       CART   0.9809068
## 41      dis         RF   0.9876410
## 42      dis missForest   0.9831304
## 43      rad  Regresion   1.0000000
## 44      rad       NORM   1.0000000
## 45      rad        PMM   1.0000000
## 46      rad       CART   1.0000000
## 47      rad         RF   1.0000000
## 48      rad missForest   1.0000000
## 49      tax  Regresion   1.0000000
## 50      tax       NORM   1.0000000
## 51      tax        PMM   1.0000000
## 52      tax       CART   1.0000000
## 53      tax         RF   1.0000000
## 54      tax missForest   1.0000000
## 55  ptratio  Regresion   1.0000000
## 56  ptratio       NORM   1.0000000
## 57  ptratio        PMM   1.0000000
## 58  ptratio       CART   1.0000000
## 59  ptratio         RF   1.0000000
## 60  ptratio missForest   1.0000000
## 61    black  Regresion   0.1815106
## 62    black       NORM   0.1851088
## 63    black        PMM   0.0023149
## 64    black       CART   0.1840128
## 65    black         RF   0.1350152
## 66    black missForest   0.2168663
## 67    lstat  Regresion   0.9783629
## 68    lstat       NORM   0.9658181
## 69    lstat        PMM   0.9727482
## 70    lstat       CART   0.9694323
## 71    lstat         RF   0.9745832
## 72    lstat missForest   0.9730380
# ============================================================
# COMPARACIÓN DE MEDIA Y DESVIACIÓN ESTÁNDAR
# ============================================================

comparacion_medias_SD <- bind_rows(
  lapply(variables_imputacion, function(v) {
    
    bind_rows(lapply(names(metodos), function(nombre) {
      
      data.frame(
        Variable = v,
        Metodo = nombre,
        Media_Original = mean(datos_originales[[v]]),
        Media_Imputada = mean(metodos[[nombre]][[v]]),
        SD_Original = sd(datos_originales[[v]]),
        SD_Imputada = sd(metodos[[nombre]][[v]])
      )
    }))
  })
)

print(comparacion_medias_SD)
##    Variable     Metodo Media_Original Media_Imputada SD_Original SD_Imputada
## 1      crim  Regresion      3.7332265      1.8160270   9.1305482   2.5447405
## 2      crim       NORM      3.7332265      1.7981754   9.1305482   2.5406779
## 3      crim        PMM      3.7332265      1.8530361   9.1305482   2.6712696
## 4      crim       CART      3.7332265      1.9514171   9.1305482   2.8346802
## 5      crim         RF      3.7332265      1.8829269   9.1305482   2.7312436
## 6      crim missForest      3.7332265      1.8714981   9.1305482   2.6382760
## 7        zn  Regresion     11.4195545     11.4195545  24.1411860  24.1411860
## 8        zn       NORM     11.4195545     11.4195545  24.1411860  24.1411860
## 9        zn        PMM     11.4195545     11.4195545  24.1411860  24.1411860
## 10       zn       CART     11.4195545     11.4195545  24.1411860  24.1411860
## 11       zn         RF     11.4195545     11.4195545  24.1411860  24.1411860
## 12       zn missForest     11.4195545     11.4195545  24.1411860  24.1411860
## 13    indus  Regresion     11.4036881     11.4036881   7.0081388   7.0081388
## 14    indus       NORM     11.4036881     11.4036881   7.0081388   7.0081388
## 15    indus        PMM     11.4036881     11.4036881   7.0081388   7.0081388
## 16    indus       CART     11.4036881     11.4036881   7.0081388   7.0081388
## 17    indus         RF     11.4036881     11.4036881   7.0081388   7.0081388
## 18    indus missForest     11.4036881     11.4036881   7.0081388   7.0081388
## 19      nox  Regresion      0.5567173      0.5567173   0.1175030   0.1175030
## 20      nox       NORM      0.5567173      0.5567173   0.1175030   0.1175030
## 21      nox        PMM      0.5567173      0.5567173   0.1175030   0.1175030
## 22      nox       CART      0.5567173      0.5567173   0.1175030   0.1175030
## 23      nox         RF      0.5567173      0.5567173   0.1175030   0.1175030
## 24      nox missForest      0.5567173      0.5567173   0.1175030   0.1175030
## 25       rm  Regresion      6.2888391      6.2748059   0.6917318   0.5879186
## 26       rm       NORM      6.2888391      6.2745122   0.6917318   0.5892961
## 27       rm        PMM      6.2888391      6.2752550   0.6917318   0.5914639
## 28       rm       CART      6.2888391      6.2873465   0.6917318   0.6072137
## 29       rm         RF      6.2888391      6.2852079   0.6917318   0.6057598
## 30       rm missForest      6.2888391      6.2738472   0.6917318   0.5912274
## 31      age  Regresion     69.2252475     69.2252475  27.6575165  27.6575165
## 32      age       NORM     69.2252475     69.2252475  27.6575165  27.6575165
## 33      age        PMM     69.2252475     69.2252475  27.6575165  27.6575165
## 34      age       CART     69.2252475     69.2252475  27.6575165  27.6575165
## 35      age         RF     69.2252475     69.2252475  27.6575165  27.6575165
## 36      age missForest     69.2252475     69.2252475  27.6575165  27.6575165
## 37      dis  Regresion      3.7608257      3.7282002   2.1071102   2.0176189
## 38      dis       NORM      3.7608257      3.7268929   2.1071102   2.0169130
## 39      dis        PMM      3.7608257      3.7279676   2.1071102   2.0234511
## 40      dis       CART      3.7608257      3.7231163   2.1071102   2.0110888
## 41      dis         RF      3.7608257      3.7280166   2.1071102   2.0168910
## 42      dis missForest      3.7608257      3.7225622   2.1071102   2.0069259
## 43      rad  Regresion      9.5544554      9.5544554   8.7413626   8.7413626
## 44      rad       NORM      9.5544554      9.5544554   8.7413626   8.7413626
## 45      rad        PMM      9.5544554      9.5544554   8.7413626   8.7413626
## 46      rad       CART      9.5544554      9.5544554   8.7413626   8.7413626
## 47      rad         RF      9.5544554      9.5544554   8.7413626   8.7413626
## 48      rad missForest      9.5544554      9.5544554   8.7413626   8.7413626
## 49      tax  Regresion    413.1955446    413.1955446 167.7771885 167.7771885
## 50      tax       NORM    413.1955446    413.1955446 167.7771885 167.7771885
## 51      tax        PMM    413.1955446    413.1955446 167.7771885 167.7771885
## 52      tax       CART    413.1955446    413.1955446 167.7771885 167.7771885
## 53      tax         RF    413.1955446    413.1955446 167.7771885 167.7771885
## 54      tax missForest    413.1955446    413.1955446 167.7771885 167.7771885
## 55  ptratio  Regresion     18.4361386     18.4361386   2.1669365   2.1669365
## 56  ptratio       NORM     18.4361386     18.4361386   2.1669365   2.1669365
## 57  ptratio        PMM     18.4361386     18.4361386   2.1669365   2.1669365
## 58  ptratio       CART     18.4361386     18.4361386   2.1669365   2.1669365
## 59  ptratio         RF     18.4361386     18.4361386   2.1669365   2.1669365
## 60  ptratio missForest     18.4361386     18.4361386   2.1669365   2.1669365
## 61    black  Regresion    352.4675000    387.3065945  97.4551772  11.6609235
## 62    black       NORM    352.4675000    387.3380925  97.4551772  12.4536995
## 63    black        PMM    352.4675000    388.0828713  97.4551772  12.2674509
## 64    black       CART    352.4675000    386.9075000  97.4551772  13.3652413
## 65    black         RF    352.4675000    387.4165347  97.4551772  13.0227516
## 66    black missForest    352.4675000    387.0108871  97.4551772  11.7891327
## 67    lstat  Regresion     12.5456436     12.3885822   7.0382984   6.6605212
## 68    lstat       NORM     12.5456436     12.3757698   7.0382984   6.6966478
## 69    lstat        PMM     12.5456436     12.3920050   7.0382984   6.7115179
## 70    lstat       CART     12.5456436     12.3795545   7.0382984   6.6918493
## 71    lstat         RF     12.5456436     12.3781188   7.0382984   6.6645000
## 72    lstat missForest     12.5456436     12.3649748   7.0382984   6.6185795
auditoria_imputacion <- bind_rows(
  lapply(variables_imputacion, function(v) {
    
    ids <- which(is.na(datos_NA[[v]]))
    
    tabla <- data.frame(
      ID = ids,
      Variable = rep(v, length(ids)),
      Original = datos_originales[[v]][ids]
    )
    
    for (nombre in names(metodos)) {
      tabla[[nombre]] <- metodos[[nombre]][[v]][ids]
    }
    
    tabla
  })
)

print(auditoria_imputacion)
##      ID Variable  Original  Regresion       NORM       PMM      CART        RF
## 1   294     crim  13.52220   5.565717   4.602799   4.64689   3.67822   3.67367
## 2   297     crim   9.23230   5.308294   5.682693   8.79212   5.70818   2.37857
## 3   299     crim  11.10810   5.855279   5.847288   6.28807   7.05042   6.53876
## 4   300     crim  18.49820   5.863227   7.033130   3.16360   8.71675   8.64476
## 5   301     crim  19.60910   5.903519   6.351376   3.77498   4.64689   5.70818
## 6   302     crim  15.28800   6.003955   4.771054   5.58107   8.49213   3.47428
## 7   303     crim   9.82349   6.092021   4.968275   7.02259   8.98296   7.99248
## 8   304     crim  23.64820   6.098250   5.268515   5.66637   8.79212   8.71675
## 9   305     crim  88.97620   5.966660   5.096688   6.80117   8.98296   8.71675
## 10  306     crim   9.18702   6.030237   4.938887   7.99248   7.40389   8.05579
## 11  308     crim  24.39380   6.031517   6.334768   7.52601   8.79212   7.40389
## 12  309     crim  22.59710   6.219734   6.738193   6.28807   5.66637   6.28807
## 13  310     crim  14.33370   6.073340   6.472024   6.28807   8.64476   8.71675
## 14  312     crim  11.57790   6.005705   6.529422   7.52601   8.49213   8.79212
## 15  314     crim  13.35980   5.800599   5.431095   6.65492   7.02259   4.66883
## 16  317     crim   9.91655   6.238546   8.242269   8.98296   5.87205   8.79212
## 17  318     crim  25.04610   6.212061   6.161355   6.28807   8.79212   8.79212
## 18  319     crim   9.59571   5.977757   6.478654   4.75237   8.49213   8.24809
## 19  320     crim  24.80170   5.824432   5.442162   3.84970   8.64476   4.66883
## 20  321     crim  41.52920   6.086407   5.877191   7.99248   5.66637   4.66883
## 21  322     crim  67.92080   5.969178   5.784806   7.99248   7.02259   8.98296
## 22  324     crim  51.13580   5.201203   3.968573   4.03841   4.89822   3.16360
## 23  325     crim  14.05070   5.802714   5.898663   3.77498   5.87205   7.05042
## 24  326     crim  18.81100   5.555291   6.299349   4.55587   8.98296   6.53876
## 25  327     crim  28.65580   5.456856   4.292742   3.77498   5.66637   7.99248
## 26  328     crim  45.74610   5.878811   6.544820   5.44114   8.71675   7.02259
## 27  329     crim  18.08460   6.308147   6.576461   7.52601   6.28807   7.05042
## 28  330     crim  10.83420   6.241328   7.189765   3.83684   8.79212   6.39312
## 29  331     crim  25.94060   5.974325   4.966841   5.87205   8.64476   4.66883
## 30  332     crim  73.53410   5.892923   6.831622   7.02259   5.87205   6.28807
## 31  333     crim  11.81230   6.234820   8.358495   6.71772   6.28807   5.58107
## 32  334     crim  11.08740   5.893272   5.116551   8.20058   7.02259   5.66637
## 33  336     crim  12.04820   5.362600   4.577685   4.34879   3.67822   6.80117
## 34  339     crim  15.86030   6.016221   5.222149   6.71772   5.87205   7.99248
## 35  340     crim  12.24720   5.326505   4.562217   4.83567   7.05042   8.20058
## 36  341     crim  37.66190   5.679726   4.867193   7.83932   3.67367   8.64476
## 37  342     crim   9.33889   6.101924   6.011323   7.99248   6.28807   5.87205
## 38  344     crim  10.06230   5.728702   4.734612   3.77498   7.99248   7.99248
## 39  347     crim  13.91340   5.833473   4.900576   7.40389   7.52601   8.05579
## 40  348     crim  11.16040   6.308982   4.629324   8.98296   5.66637   3.67822
## 41  349     crim  14.42080   6.076099   3.654294   6.71772   7.99248   5.44114
## 42  350     crim  13.67810   5.999167   4.803880   5.66637   4.55587   4.55587
## 43  351     crim   9.39063   6.140181   6.306109   8.98296   8.71675   6.39312
## 44  352     crim  22.05110   6.126370   5.530080   6.28807   8.79212   6.28807
## 45  354     crim  12.80230   6.176687   6.319219   6.28807   7.40389   5.44114
## 46  355     crim  10.67180   6.302605   6.255903   7.52601   7.02259   5.44114
## 47  357     crim   9.92485   5.997013   7.109939   5.87205   5.44114   6.80117
## 48  362     crim   9.51363   6.069630   6.124225   5.66637   6.71772   4.75237
## 49  371     crim  15.57570   5.372994   6.630893   4.34879   4.34879   2.81838
## 50  372     crim  13.07510   5.289801   7.011043   4.03841   5.29305   4.03841
## 51  380     crim  15.02340   5.579422   4.386064   6.65492   8.98296   7.05042
## 52  381     crim  10.23300   5.607288   4.879751   3.67822   5.44114   4.87141
## 53  382     crim  14.33370   5.434344   6.270796   8.79212   5.73116   6.65492
## 54   70       rm   8.06900   6.860486   6.863023   7.17800   7.41600   7.92900
## 55  129       rm   8.37500   6.942388   6.331370   7.01600   7.87500   5.88000
## 56  180       rm   8.26600   6.864236   7.120331   6.56300   7.41200   7.14800
## 57  181       rm   8.04000   6.946256   6.922035   6.86100   7.92900   6.94300
## 58  186       rm   8.33700   6.900312   6.434219   7.27400   7.47000   7.16300
## 59  187       rm   8.24700   6.780624   7.320708   7.24900   7.82000   7.16300
## 60  207       rm   8.70400   7.104611   7.100342   7.01600   6.56300   7.52000
## 61  211       rm   8.39800   7.034569   6.350029   6.81600   6.62500   7.52000
## 62  291       rm   8.78000   6.541198   7.075093   6.95100   6.84900   7.92900
## 63  292       rm   3.56100   6.522513   6.179023   6.45600   6.79400   7.06100
## 64  294       rm   3.86300   6.438487   6.415683   6.15300   6.45400   6.65700
## 65  300       rm   4.13800   6.172900   6.878088   5.75700   6.96800   6.39800
## 66  280      dis  10.71030   7.033164   6.628852   5.11670   6.27000   7.31720
## 67  281      dis  12.12650   7.549661   8.682620   7.30730   5.88500   7.65340
## 68  282      dis  10.58570   8.112556   8.409064   9.22030   8.79210   7.95490
## 69  283      dis  10.58570   8.132106   6.578791   9.08920   7.82650   7.82780
## 70   18    black 303.42000 391.019416 386.878328 396.90000 396.90000 396.42000
## 71   19    black 306.38000 392.103625 378.206394 392.04000 396.90000 396.90000
## 72   24    black 248.31000 394.353353 399.745804 391.34000 364.31000 396.90000
## 73   75    black  70.80000 392.572715 395.666403 389.25000 396.30000 396.42000
## 74  102    black 262.76000 386.660280 398.450396 396.90000 385.76000 395.04000
## 75  112    black 172.91000 380.247902 368.322432 396.90000 388.45000 391.71000
## 76  113    black 169.27000 376.226265 374.990459 396.90000 353.89000 392.04000
## 77  119    black 261.95000 376.030097 376.038965 374.56000 341.60000 379.38000
## 78  120    black 321.02000 373.275898 376.982520 372.80000 372.80000 343.28000
## 79  121    black  88.01000 375.105055 375.286883 391.71000 396.90000 396.24000
## 80  122    black  88.63000 375.399945 366.848697 396.90000 360.17000 395.11000
## 81  126    black 338.92000 377.894486 384.622085 354.70000 369.30000 396.90000
## 82  131    black 240.16000 381.840840 384.564689 395.33000 354.70000 372.80000
## 83  133    black 227.61000 381.180096 379.046856 396.90000 351.85000 341.60000
## 84  134    black 297.09000 382.343815 375.784080 391.93000 372.80000 353.89000
## 85  135    black 292.29000 381.027098 388.891229 372.92000 343.28000 385.02000
## 86  293    black 316.03000 379.614345 401.636914 344.05000 396.90000 353.04000
## 87  294    black 131.42000 386.135138 402.793582 395.33000 396.90000 383.32000
## 88  317    black 338.16000 388.399704 383.907184 377.56000 396.90000 396.90000
## 89  321    black 329.46000 386.733081 385.386858 396.90000 384.97000 396.90000
## 90  323    black 314.64000 390.119478 383.196168 394.33000 396.90000 396.90000
## 91  324    black   2.60000 384.789072 386.500142 396.90000 396.90000 363.02000
## 92  325    black  35.05000 389.521239 384.716672 396.90000 396.90000 396.90000
## 93  326    black  28.79000 386.432899 405.759623 370.31000 396.90000 349.48000
## 94  327    black 210.97000 385.996318 381.030411 396.90000 396.90000 375.52000
## 95  328    black  88.27000 384.129536 379.305495 394.02000 396.90000 393.37000
## 96  329    black  27.25000 388.800124 386.402095 396.90000 396.90000 396.90000
## 97  330    black  21.57000 388.807899 386.377863 387.97000 396.90000 396.90000
## 98  331    black 127.36000 386.265117 393.789514 396.90000 363.02000 391.98000
## 99  332    black  16.45000 385.552714 391.825814 395.18000 396.90000 366.15000
## 100 333    black  48.45000 387.421867 370.155305 395.56000 384.97000 395.33000
## 101 334    black 318.75000 383.959144 375.897347 395.69000 396.90000 366.15000
## 102 335    black 319.98000 384.238336 379.081635 388.22000 396.90000 391.98000
## 103 336    black 291.55000 384.635364 395.727213 386.09000 377.73000 375.87000
## 104 337    black   2.52000 388.951325 387.955018 390.96000 377.73000 352.58000
## 105 338    black   3.65000 388.662110 394.152086 395.50000 375.87000 395.69000
## 106 339    black   7.68000 386.370217 384.630812 396.90000 350.65000 384.97000
## 107 340    black  24.65000 386.564094 382.311692 391.34000 379.70000 396.90000
## 108 341    black  18.82000 384.656176 392.966999 396.90000 396.90000 384.97000
## 109 342    black  60.72000 387.196717 413.903719 374.71000 377.73000 396.90000
## 110 343    black  83.45000 389.808212 388.731852 396.30000 377.73000 396.90000
## 111 344    black  81.33000 389.007656 347.767375 388.74000 395.69000 395.69000
## 112 345    black  97.95000 387.042622 376.026242 395.56000 395.69000 396.90000
## 113 346    black 100.19000 383.716148 381.419147 395.69000 383.32000 375.52000
## 114 347    black 100.63000 383.221908 364.686777 396.90000 350.65000 391.45000
## 115 348    black 109.85000 385.833568 388.446313 396.90000 396.21000 395.33000
## 116 349    black  27.49000 384.265928 376.507949 386.71000 380.79000 395.69000
## 117 350    black  68.95000 383.803949 391.104031 396.90000 396.90000 383.32000
## 118 354    black 240.52000 384.685593 395.632261 396.90000 352.58000 379.70000
## 119 355    black  43.06000 385.881777 364.206270 376.11000 380.79000 391.45000
## 120 356    black 318.01000 383.965511 390.522576 396.90000 395.69000 396.90000
## 121 358    black 304.21000 385.888488 396.480728 392.85000 383.32000 376.11000
## 122 359    black   0.32000 385.361848 377.025001 392.80000 395.69000 396.90000
## 123 362    black   6.68000 384.864168 373.673028 396.90000 396.90000 396.90000
## 124 363    black  50.92000 383.586631 361.369681 392.85000 380.79000 391.34000
## 125 364    black  10.48000 382.436183 394.252880 396.90000 388.62000 355.29000
## 126 365    black   3.50000 384.286691 408.521626 388.22000 395.43000 393.37000
## 127 369    black 334.40000 381.168629 382.327082 389.70000 391.34000 393.37000
## 128 370    black  22.01000 382.382024 395.991037 392.85000 374.68000 396.90000
## 129 378    black 302.76000 389.052103 402.098764 395.24000 379.70000 396.90000
## 130 392    black 318.43000 382.961623 390.652362 366.15000 348.93000 394.67000
## 131 299    lstat  34.77000  24.949524  25.542337  30.62000  26.40000  20.08000
## 132 300    lstat  37.97000  18.512521   8.405752  19.01000  13.99000  28.28000
## 133 326    lstat  34.37000  25.474483  29.099206  30.62000  28.28000  12.03000
## 134 328    lstat  36.98000  26.720877  30.549825  25.68000  30.62000  26.77000
## 135 350    lstat  34.02000  18.999806  15.883893  10.11000  11.72000  23.27000
##     missForest
## 1     5.814797
## 2     5.577181
## 3     6.535806
## 4     6.784130
## 5     6.309569
## 6     6.090851
## 7     6.659782
## 8     6.500726
## 9     6.647559
## 10    6.781285
## 11    6.671929
## 12    6.341615
## 13    6.341058
## 14    6.588154
## 15    6.775317
## 16    6.406235
## 17    6.792998
## 18    6.570899
## 19    6.554591
## 20    6.423729
## 21    6.726555
## 22    5.565977
## 23    6.541799
## 24    6.542773
## 25    6.639014
## 26    6.711441
## 27    6.787130
## 28    6.447046
## 29    6.172672
## 30    6.733761
## 31    6.149143
## 32    6.373814
## 33    5.579769
## 34    6.581926
## 35    6.072030
## 36    5.981086
## 37    6.599302
## 38    6.330080
## 39    6.349163
## 40    6.279952
## 41    6.305337
## 42    6.307528
## 43    6.357594
## 44    6.315858
## 45    6.504894
## 46    6.368359
## 47    6.359120
## 48    5.858233
## 49    5.203763
## 50    4.760009
## 51    6.042044
## 52    6.098087
## 53    5.692728
## 54    6.886398
## 55    7.067230
## 56    7.025238
## 57    7.112463
## 58    7.123855
## 59    7.065186
## 60    7.052156
## 61    7.101820
## 62    6.332380
## 63    6.045029
## 64    5.754094
## 65    6.155431
## 66    6.714157
## 67    7.049697
## 68    7.440081
## 69    7.345785
## 70  386.101254
## 71  386.276487
## 72  378.383793
## 73  392.519771
## 74  387.142346
## 75  379.793406
## 76  374.466825
## 77  371.574797
## 78  372.281511
## 79  376.413642
## 80  371.434856
## 81  373.194673
## 82  377.045406
## 83  379.095197
## 84  376.249754
## 85  374.883754
## 86  374.370635
## 87  383.466512
## 88  386.796840
## 89  387.541222
## 90  387.710666
## 91  378.363578
## 92  387.433464
## 93  384.163345
## 94  382.813780
## 95  386.198392
## 96  389.104366
## 97  388.131787
## 98  379.189314
## 99  389.175713
## 100 382.301344
## 101 385.013121
## 102 387.344454
## 103 379.974389
## 104 386.576513
## 105 383.501091
## 106 388.798525
## 107 383.309612
## 108 385.855585
## 109 389.366967
## 110 384.874029
## 111 384.151224
## 112 386.489730
## 113 380.560261
## 114 385.415503
## 115 384.244935
## 116 384.519999
## 117 385.258467
## 118 387.847965
## 119 386.997709
## 120 383.918360
## 121 385.372197
## 122 385.169064
## 123 381.798480
## 124 380.253477
## 125 380.261364
## 126 387.067343
## 127 384.252550
## 128 385.792816
## 129 382.316917
## 130 375.067329
## 131  21.144085
## 132  18.626767
## 133  21.951959
## 134  24.047673
## 135  19.349347
#Revisar reemplazos negativos
for (nombre in names(metodos)) {
  
  for (v in variables_imputacion) {
    
    ids <- which(
      is.na(datos_NA[[v]]) &
        metodos[[nombre]][[v]] < 0
    )
    
    if (length(ids)) {
      
      warning(
        paste(
          nombre, "produjo valores negativos en", v,
          "; revisar su plausibilidad."
        ),
        call. = FALSE
      )
      
      print(data.frame(
        Metodo = nombre,
        Variable = v,
        ID = ids,
        Imputado = metodos[[nombre]][[v]][ids]
      ))
    }
  }
}

24 11. Verificamos los datos imputados

auditoria_imputacion <- bind_rows(
  lapply(variables_imputacion, function(v) {
    
    ids <- which(is.na(datos_NA[[v]]))
    
    tabla <- data.frame(
      ID = ids,
      Variable = rep(v, length(ids)),
      Original = datos_originales[[v]][ids]
    )
    
    for (nombre in names(metodos)) {
      tabla[[nombre]] <- metodos[[nombre]][[v]][ids]
    }
    
    tabla
  })
)

print(auditoria_imputacion)
##      ID Variable  Original  Regresion       NORM       PMM      CART        RF
## 1   294     crim  13.52220   5.565717   4.602799   4.64689   3.67822   3.67367
## 2   297     crim   9.23230   5.308294   5.682693   8.79212   5.70818   2.37857
## 3   299     crim  11.10810   5.855279   5.847288   6.28807   7.05042   6.53876
## 4   300     crim  18.49820   5.863227   7.033130   3.16360   8.71675   8.64476
## 5   301     crim  19.60910   5.903519   6.351376   3.77498   4.64689   5.70818
## 6   302     crim  15.28800   6.003955   4.771054   5.58107   8.49213   3.47428
## 7   303     crim   9.82349   6.092021   4.968275   7.02259   8.98296   7.99248
## 8   304     crim  23.64820   6.098250   5.268515   5.66637   8.79212   8.71675
## 9   305     crim  88.97620   5.966660   5.096688   6.80117   8.98296   8.71675
## 10  306     crim   9.18702   6.030237   4.938887   7.99248   7.40389   8.05579
## 11  308     crim  24.39380   6.031517   6.334768   7.52601   8.79212   7.40389
## 12  309     crim  22.59710   6.219734   6.738193   6.28807   5.66637   6.28807
## 13  310     crim  14.33370   6.073340   6.472024   6.28807   8.64476   8.71675
## 14  312     crim  11.57790   6.005705   6.529422   7.52601   8.49213   8.79212
## 15  314     crim  13.35980   5.800599   5.431095   6.65492   7.02259   4.66883
## 16  317     crim   9.91655   6.238546   8.242269   8.98296   5.87205   8.79212
## 17  318     crim  25.04610   6.212061   6.161355   6.28807   8.79212   8.79212
## 18  319     crim   9.59571   5.977757   6.478654   4.75237   8.49213   8.24809
## 19  320     crim  24.80170   5.824432   5.442162   3.84970   8.64476   4.66883
## 20  321     crim  41.52920   6.086407   5.877191   7.99248   5.66637   4.66883
## 21  322     crim  67.92080   5.969178   5.784806   7.99248   7.02259   8.98296
## 22  324     crim  51.13580   5.201203   3.968573   4.03841   4.89822   3.16360
## 23  325     crim  14.05070   5.802714   5.898663   3.77498   5.87205   7.05042
## 24  326     crim  18.81100   5.555291   6.299349   4.55587   8.98296   6.53876
## 25  327     crim  28.65580   5.456856   4.292742   3.77498   5.66637   7.99248
## 26  328     crim  45.74610   5.878811   6.544820   5.44114   8.71675   7.02259
## 27  329     crim  18.08460   6.308147   6.576461   7.52601   6.28807   7.05042
## 28  330     crim  10.83420   6.241328   7.189765   3.83684   8.79212   6.39312
## 29  331     crim  25.94060   5.974325   4.966841   5.87205   8.64476   4.66883
## 30  332     crim  73.53410   5.892923   6.831622   7.02259   5.87205   6.28807
## 31  333     crim  11.81230   6.234820   8.358495   6.71772   6.28807   5.58107
## 32  334     crim  11.08740   5.893272   5.116551   8.20058   7.02259   5.66637
## 33  336     crim  12.04820   5.362600   4.577685   4.34879   3.67822   6.80117
## 34  339     crim  15.86030   6.016221   5.222149   6.71772   5.87205   7.99248
## 35  340     crim  12.24720   5.326505   4.562217   4.83567   7.05042   8.20058
## 36  341     crim  37.66190   5.679726   4.867193   7.83932   3.67367   8.64476
## 37  342     crim   9.33889   6.101924   6.011323   7.99248   6.28807   5.87205
## 38  344     crim  10.06230   5.728702   4.734612   3.77498   7.99248   7.99248
## 39  347     crim  13.91340   5.833473   4.900576   7.40389   7.52601   8.05579
## 40  348     crim  11.16040   6.308982   4.629324   8.98296   5.66637   3.67822
## 41  349     crim  14.42080   6.076099   3.654294   6.71772   7.99248   5.44114
## 42  350     crim  13.67810   5.999167   4.803880   5.66637   4.55587   4.55587
## 43  351     crim   9.39063   6.140181   6.306109   8.98296   8.71675   6.39312
## 44  352     crim  22.05110   6.126370   5.530080   6.28807   8.79212   6.28807
## 45  354     crim  12.80230   6.176687   6.319219   6.28807   7.40389   5.44114
## 46  355     crim  10.67180   6.302605   6.255903   7.52601   7.02259   5.44114
## 47  357     crim   9.92485   5.997013   7.109939   5.87205   5.44114   6.80117
## 48  362     crim   9.51363   6.069630   6.124225   5.66637   6.71772   4.75237
## 49  371     crim  15.57570   5.372994   6.630893   4.34879   4.34879   2.81838
## 50  372     crim  13.07510   5.289801   7.011043   4.03841   5.29305   4.03841
## 51  380     crim  15.02340   5.579422   4.386064   6.65492   8.98296   7.05042
## 52  381     crim  10.23300   5.607288   4.879751   3.67822   5.44114   4.87141
## 53  382     crim  14.33370   5.434344   6.270796   8.79212   5.73116   6.65492
## 54   70       rm   8.06900   6.860486   6.863023   7.17800   7.41600   7.92900
## 55  129       rm   8.37500   6.942388   6.331370   7.01600   7.87500   5.88000
## 56  180       rm   8.26600   6.864236   7.120331   6.56300   7.41200   7.14800
## 57  181       rm   8.04000   6.946256   6.922035   6.86100   7.92900   6.94300
## 58  186       rm   8.33700   6.900312   6.434219   7.27400   7.47000   7.16300
## 59  187       rm   8.24700   6.780624   7.320708   7.24900   7.82000   7.16300
## 60  207       rm   8.70400   7.104611   7.100342   7.01600   6.56300   7.52000
## 61  211       rm   8.39800   7.034569   6.350029   6.81600   6.62500   7.52000
## 62  291       rm   8.78000   6.541198   7.075093   6.95100   6.84900   7.92900
## 63  292       rm   3.56100   6.522513   6.179023   6.45600   6.79400   7.06100
## 64  294       rm   3.86300   6.438487   6.415683   6.15300   6.45400   6.65700
## 65  300       rm   4.13800   6.172900   6.878088   5.75700   6.96800   6.39800
## 66  280      dis  10.71030   7.033164   6.628852   5.11670   6.27000   7.31720
## 67  281      dis  12.12650   7.549661   8.682620   7.30730   5.88500   7.65340
## 68  282      dis  10.58570   8.112556   8.409064   9.22030   8.79210   7.95490
## 69  283      dis  10.58570   8.132106   6.578791   9.08920   7.82650   7.82780
## 70   18    black 303.42000 391.019416 386.878328 396.90000 396.90000 396.42000
## 71   19    black 306.38000 392.103625 378.206394 392.04000 396.90000 396.90000
## 72   24    black 248.31000 394.353353 399.745804 391.34000 364.31000 396.90000
## 73   75    black  70.80000 392.572715 395.666403 389.25000 396.30000 396.42000
## 74  102    black 262.76000 386.660280 398.450396 396.90000 385.76000 395.04000
## 75  112    black 172.91000 380.247902 368.322432 396.90000 388.45000 391.71000
## 76  113    black 169.27000 376.226265 374.990459 396.90000 353.89000 392.04000
## 77  119    black 261.95000 376.030097 376.038965 374.56000 341.60000 379.38000
## 78  120    black 321.02000 373.275898 376.982520 372.80000 372.80000 343.28000
## 79  121    black  88.01000 375.105055 375.286883 391.71000 396.90000 396.24000
## 80  122    black  88.63000 375.399945 366.848697 396.90000 360.17000 395.11000
## 81  126    black 338.92000 377.894486 384.622085 354.70000 369.30000 396.90000
## 82  131    black 240.16000 381.840840 384.564689 395.33000 354.70000 372.80000
## 83  133    black 227.61000 381.180096 379.046856 396.90000 351.85000 341.60000
## 84  134    black 297.09000 382.343815 375.784080 391.93000 372.80000 353.89000
## 85  135    black 292.29000 381.027098 388.891229 372.92000 343.28000 385.02000
## 86  293    black 316.03000 379.614345 401.636914 344.05000 396.90000 353.04000
## 87  294    black 131.42000 386.135138 402.793582 395.33000 396.90000 383.32000
## 88  317    black 338.16000 388.399704 383.907184 377.56000 396.90000 396.90000
## 89  321    black 329.46000 386.733081 385.386858 396.90000 384.97000 396.90000
## 90  323    black 314.64000 390.119478 383.196168 394.33000 396.90000 396.90000
## 91  324    black   2.60000 384.789072 386.500142 396.90000 396.90000 363.02000
## 92  325    black  35.05000 389.521239 384.716672 396.90000 396.90000 396.90000
## 93  326    black  28.79000 386.432899 405.759623 370.31000 396.90000 349.48000
## 94  327    black 210.97000 385.996318 381.030411 396.90000 396.90000 375.52000
## 95  328    black  88.27000 384.129536 379.305495 394.02000 396.90000 393.37000
## 96  329    black  27.25000 388.800124 386.402095 396.90000 396.90000 396.90000
## 97  330    black  21.57000 388.807899 386.377863 387.97000 396.90000 396.90000
## 98  331    black 127.36000 386.265117 393.789514 396.90000 363.02000 391.98000
## 99  332    black  16.45000 385.552714 391.825814 395.18000 396.90000 366.15000
## 100 333    black  48.45000 387.421867 370.155305 395.56000 384.97000 395.33000
## 101 334    black 318.75000 383.959144 375.897347 395.69000 396.90000 366.15000
## 102 335    black 319.98000 384.238336 379.081635 388.22000 396.90000 391.98000
## 103 336    black 291.55000 384.635364 395.727213 386.09000 377.73000 375.87000
## 104 337    black   2.52000 388.951325 387.955018 390.96000 377.73000 352.58000
## 105 338    black   3.65000 388.662110 394.152086 395.50000 375.87000 395.69000
## 106 339    black   7.68000 386.370217 384.630812 396.90000 350.65000 384.97000
## 107 340    black  24.65000 386.564094 382.311692 391.34000 379.70000 396.90000
## 108 341    black  18.82000 384.656176 392.966999 396.90000 396.90000 384.97000
## 109 342    black  60.72000 387.196717 413.903719 374.71000 377.73000 396.90000
## 110 343    black  83.45000 389.808212 388.731852 396.30000 377.73000 396.90000
## 111 344    black  81.33000 389.007656 347.767375 388.74000 395.69000 395.69000
## 112 345    black  97.95000 387.042622 376.026242 395.56000 395.69000 396.90000
## 113 346    black 100.19000 383.716148 381.419147 395.69000 383.32000 375.52000
## 114 347    black 100.63000 383.221908 364.686777 396.90000 350.65000 391.45000
## 115 348    black 109.85000 385.833568 388.446313 396.90000 396.21000 395.33000
## 116 349    black  27.49000 384.265928 376.507949 386.71000 380.79000 395.69000
## 117 350    black  68.95000 383.803949 391.104031 396.90000 396.90000 383.32000
## 118 354    black 240.52000 384.685593 395.632261 396.90000 352.58000 379.70000
## 119 355    black  43.06000 385.881777 364.206270 376.11000 380.79000 391.45000
## 120 356    black 318.01000 383.965511 390.522576 396.90000 395.69000 396.90000
## 121 358    black 304.21000 385.888488 396.480728 392.85000 383.32000 376.11000
## 122 359    black   0.32000 385.361848 377.025001 392.80000 395.69000 396.90000
## 123 362    black   6.68000 384.864168 373.673028 396.90000 396.90000 396.90000
## 124 363    black  50.92000 383.586631 361.369681 392.85000 380.79000 391.34000
## 125 364    black  10.48000 382.436183 394.252880 396.90000 388.62000 355.29000
## 126 365    black   3.50000 384.286691 408.521626 388.22000 395.43000 393.37000
## 127 369    black 334.40000 381.168629 382.327082 389.70000 391.34000 393.37000
## 128 370    black  22.01000 382.382024 395.991037 392.85000 374.68000 396.90000
## 129 378    black 302.76000 389.052103 402.098764 395.24000 379.70000 396.90000
## 130 392    black 318.43000 382.961623 390.652362 366.15000 348.93000 394.67000
## 131 299    lstat  34.77000  24.949524  25.542337  30.62000  26.40000  20.08000
## 132 300    lstat  37.97000  18.512521   8.405752  19.01000  13.99000  28.28000
## 133 326    lstat  34.37000  25.474483  29.099206  30.62000  28.28000  12.03000
## 134 328    lstat  36.98000  26.720877  30.549825  25.68000  30.62000  26.77000
## 135 350    lstat  34.02000  18.999806  15.883893  10.11000  11.72000  23.27000
##     missForest
## 1     5.814797
## 2     5.577181
## 3     6.535806
## 4     6.784130
## 5     6.309569
## 6     6.090851
## 7     6.659782
## 8     6.500726
## 9     6.647559
## 10    6.781285
## 11    6.671929
## 12    6.341615
## 13    6.341058
## 14    6.588154
## 15    6.775317
## 16    6.406235
## 17    6.792998
## 18    6.570899
## 19    6.554591
## 20    6.423729
## 21    6.726555
## 22    5.565977
## 23    6.541799
## 24    6.542773
## 25    6.639014
## 26    6.711441
## 27    6.787130
## 28    6.447046
## 29    6.172672
## 30    6.733761
## 31    6.149143
## 32    6.373814
## 33    5.579769
## 34    6.581926
## 35    6.072030
## 36    5.981086
## 37    6.599302
## 38    6.330080
## 39    6.349163
## 40    6.279952
## 41    6.305337
## 42    6.307528
## 43    6.357594
## 44    6.315858
## 45    6.504894
## 46    6.368359
## 47    6.359120
## 48    5.858233
## 49    5.203763
## 50    4.760009
## 51    6.042044
## 52    6.098087
## 53    5.692728
## 54    6.886398
## 55    7.067230
## 56    7.025238
## 57    7.112463
## 58    7.123855
## 59    7.065186
## 60    7.052156
## 61    7.101820
## 62    6.332380
## 63    6.045029
## 64    5.754094
## 65    6.155431
## 66    6.714157
## 67    7.049697
## 68    7.440081
## 69    7.345785
## 70  386.101254
## 71  386.276487
## 72  378.383793
## 73  392.519771
## 74  387.142346
## 75  379.793406
## 76  374.466825
## 77  371.574797
## 78  372.281511
## 79  376.413642
## 80  371.434856
## 81  373.194673
## 82  377.045406
## 83  379.095197
## 84  376.249754
## 85  374.883754
## 86  374.370635
## 87  383.466512
## 88  386.796840
## 89  387.541222
## 90  387.710666
## 91  378.363578
## 92  387.433464
## 93  384.163345
## 94  382.813780
## 95  386.198392
## 96  389.104366
## 97  388.131787
## 98  379.189314
## 99  389.175713
## 100 382.301344
## 101 385.013121
## 102 387.344454
## 103 379.974389
## 104 386.576513
## 105 383.501091
## 106 388.798525
## 107 383.309612
## 108 385.855585
## 109 389.366967
## 110 384.874029
## 111 384.151224
## 112 386.489730
## 113 380.560261
## 114 385.415503
## 115 384.244935
## 116 384.519999
## 117 385.258467
## 118 387.847965
## 119 386.997709
## 120 383.918360
## 121 385.372197
## 122 385.169064
## 123 381.798480
## 124 380.253477
## 125 380.261364
## 126 387.067343
## 127 384.252550
## 128 385.792816
## 129 382.316917
## 130 375.067329
## 131  21.144085
## 132  18.626767
## 133  21.951959
## 134  24.047673
## 135  19.349347
#Revisar reemplazos negativos
for (nombre in names(metodos)) {
  
  for (v in variables_imputacion) {
    
    ids <- which(
      is.na(datos_NA[[v]]) &
        metodos[[nombre]][[v]] < 0
    )
    
    if (length(ids)) {
      
      warning(
        paste(
          nombre, "produjo valores negativos en", v,
          "; revisar su plausibilidad."
        ),
        call. = FALSE
      )
      
      print(data.frame(
        Metodo = nombre,
        Variable = v,
        ID = ids,
        Imputado = metodos[[nombre]][[v]][ids]
      ))
    }
  }
}
stopifnot(
  identical(data.tst, prueba_sin_cambios)
)

for (nombre in names(metodos)) {
  
  stopifnot(
    identical(metodos[[nombre]]$medv, datos_originales$medv),
    identical(metodos[[nombre]]$chas, datos_originales$chas),
    !anyNA(metodos[[nombre]])
  )
}

#Resumen de faltantes por método
resumen_faltantes <- data.frame(
  Metodo = names(metodos),
  Total_NA = vapply(
    metodos,
    function(base) as.integer(sum(is.na(base))),
    integer(1)
  )
)

print(resumen_faltantes)
##                Metodo Total_NA
## Regresion   Regresion        0
## NORM             NORM        0
## PMM               PMM        0
## CART             CART        0
## RF                 RF        0
## missForest missForest        0

Interpretación: Se observa que se realizo la imputacion de todos los datos NA.

25 12. Boxplot de los datos

# BOXPLOTS: ORIGINAL VS DATOS IMPUTADOS
library(ggplot2)
library(dplyr)
library(tidyr)

#Base imputada que deseas visualizar
datos_imputados <- pmm
#Puedes sustituir pmm por: reg, norm, cart, rf o forest

#Unir original e imputada
datos_boxplot <- bind_rows(
  Original = datos_originales,
  Imputada = datos_imputados,
  .id = "Base"
) %>%
  pivot_longer(
    cols = all_of(variables_imputacion),
    names_to = "Variable",
    values_to = "Valor"
  )

#Boxplots original vs imputada
grafico <- ggplot(
  datos_boxplot,
  aes(x = Base, y = Valor, fill = Base)
) +
  geom_boxplot(
    outlier.colour = "red",
    outlier.size = 1,
    show.legend = FALSE
  ) +
  facet_wrap(~ Variable, scales = "free_y", ncol = 2) +
  scale_fill_manual(
    values = c(
      Original = "lightblue",
      Imputada = "lightgreen"
    )
  ) +
  labs(
    title = "Boston: datos originales vs imputados",
    subtitle = "Conjunto de entrenamiento",
    x = NULL,
    y = "Valor"
  ) +
  theme_minimal()

print(grafico)

Interpretación: Se observa en el grafico que se utilizo un metodo que imputa bien a las variables, y en otras que aun aparece datos atipicos pero siguen el comportamiento inicial de las variables. Se recomienda trabajar con las la data porque si realizmos otra imputacion estariamos cometiendo un sobre ajuste en nuestros datos.

26 13. Comparación de métodos de multivariantes

library(MASS)
library(dplyr)
library(tidyr)
library(skimr)
library(ggplot2)
library(tree)
library(caret)
## Cargando paquete requerido: lattice
## 
## Adjuntando el paquete: 'caret'
## The following object is masked from 'package:purrr':
## 
##     lift
library(kernlab)
## 
## Adjuntando el paquete: 'kernlab'
## The following object is masked from 'package:mice':
## 
##     convergence
## The following object is masked from 'package:purrr':
## 
##     cross
## The following object is masked from 'package:ggplot2':
## 
##     alpha
library(e1071)
## 
## Adjuntando el paquete: 'e1071'
## The following objects are masked from 'package:PerformanceAnalytics':
## 
##     kurtosis, skewness
## The following object is masked from 'package:Hmisc':
## 
##     impute
## The following object is masked from 'package:ggplot2':
## 
##     element
library(neuralnet)
library(randomForest)
## randomForest 4.7-1.2
## Type rfNews() to see new features/changes/bug fixes.
## 
## Adjuntando el paquete: 'randomForest'
## The following object is masked from 'package:dplyr':
## 
##     combine
## The following object is masked from 'package:ggplot2':
## 
##     margin
library(rpart)
library(rpart.plot)
library(ipred)
library(corrplot)
library(gbm)
## Loaded gbm 2.3.1
## This version of gbm is no longer under development. Consider transitioning to gbm3, https://github.com/gbm-developers/gbm3
library(splines)
#Usar la partición existente y el entrenamiento imputado
datos_entrenamiento <- datos_imputados
datos_prueba <- data.tst

stopifnot(
  nrow(datos_entrenamiento) == nrow(data.trn),
  identical(datos_entrenamiento$medv, data.trn$medv),
  identical(names(datos_entrenamiento), names(datos_prueba)),
  all(vapply(datos_entrenamiento, is.numeric, logical(1))),
  all(is.finite(as.matrix(datos_entrenamiento))),
  all(is.finite(as.matrix(datos_prueba)))
)

head(datos_entrenamiento)
##      crim   zn indus chas   nox    rm  age    dis rad tax ptratio  black lstat
## 1 0.00632 18.0  2.31    0 0.538 6.575 65.2 4.0900   1 296    15.3 396.90  4.98
## 2 0.02731  0.0  7.07    0 0.469 6.421 78.9 4.9671   2 242    17.8 396.90  9.14
## 3 0.02729  0.0  7.07    0 0.469 7.185 61.1 4.9671   2 242    17.8 392.83  4.03
## 4 0.03237  0.0  2.18    0 0.458 6.998 45.8 6.0622   3 222    18.7 394.63  2.94
## 6 0.02985  0.0  2.18    0 0.458 6.430 58.7 6.0622   3 222    18.7 394.12  5.21
## 8 0.14455 12.5  7.87    0 0.524 6.172 96.1 5.9505   5 311    15.2 396.90 19.15
##   medv
## 1 24.0
## 2 21.6
## 3 34.7
## 4 33.4
## 6 28.7
## 8 27.1
names(datos_entrenamiento)
##  [1] "crim"    "zn"      "indus"   "chas"    "nox"     "rm"      "age"    
##  [8] "dis"     "rad"     "tax"     "ptratio" "black"   "lstat"   "medv"
skimr::skim(datos_entrenamiento)
Data summary
Name datos_entrenamiento
Number of rows 404
Number of columns 14
_______________________
Column type frequency:
numeric 14
________________________
Group variables None

Variable type: numeric

skim_variable n_missing complete_rate mean sd p0 p25 p50 p75 p100 hist
crim 0 1 1.85 2.67 0.01 0.08 0.26 3.59 8.98 ▇▁▁▁▁
zn 0 1 11.42 24.14 0.00 0.00 0.00 0.00 100.00 ▇▁▁▁▁
indus 0 1 11.40 7.01 0.46 5.18 9.90 18.10 27.74 ▆▆▁▇▁
chas 0 1 0.08 0.27 0.00 0.00 0.00 0.00 1.00 ▇▁▁▁▁
nox 0 1 0.56 0.12 0.38 0.45 0.54 0.62 0.87 ▇▇▆▅▁
rm 0 1 6.28 0.59 4.52 5.90 6.21 6.63 7.93 ▁▃▇▃▁
age 0 1 69.23 27.66 2.90 45.80 77.75 94.03 100.00 ▁▂▂▃▇
dis 0 1 3.73 2.02 1.13 2.09 3.11 5.10 9.22 ▇▅▃▂▁
rad 0 1 9.55 8.74 1.00 4.00 5.00 24.00 24.00 ▇▂▁▁▃
tax 0 1 413.20 167.78 187.00 284.00 346.50 666.00 711.00 ▇▇▅▁▇
ptratio 0 1 18.44 2.17 12.60 17.00 19.00 20.20 22.00 ▁▃▅▅▇
black 0 1 388.08 12.27 341.60 385.58 393.15 396.90 396.90 ▁▁▁▁▇
lstat 0 1 12.39 6.71 1.73 6.91 11.36 16.53 31.99 ▇▇▆▂▁
medv 0 1 22.46 9.07 5.00 17.08 21.20 25.00 50.00 ▃▇▅▁▁
summary(datos_entrenamiento)
##       crim               zn             indus             chas        
##  Min.   :0.00632   Min.   :  0.00   Min.   : 0.460   Min.   :0.00000  
##  1st Qu.:0.08135   1st Qu.:  0.00   1st Qu.: 5.175   1st Qu.:0.00000  
##  Median :0.25635   Median :  0.00   Median : 9.900   Median :0.00000  
##  Mean   :1.85304   Mean   : 11.42   Mean   :11.404   Mean   :0.07673  
##  3rd Qu.:3.59493   3rd Qu.:  0.00   3rd Qu.:18.100   3rd Qu.:0.00000  
##  Max.   :8.98296   Max.   :100.00   Max.   :27.740   Max.   :1.00000  
##       nox               rm             age              dis       
##  Min.   :0.3850   Min.   :4.519   Min.   :  2.90   Min.   :1.130  
##  1st Qu.:0.4530   1st Qu.:5.896   1st Qu.: 45.80   1st Qu.:2.088  
##  Median :0.5380   Median :6.212   Median : 77.75   Median :3.107  
##  Mean   :0.5567   Mean   :6.275   Mean   : 69.23   Mean   :3.728  
##  3rd Qu.:0.6240   3rd Qu.:6.626   3rd Qu.: 94.03   3rd Qu.:5.104  
##  Max.   :0.8710   Max.   :7.929   Max.   :100.00   Max.   :9.223  
##       rad              tax           ptratio          black      
##  Min.   : 1.000   Min.   :187.0   Min.   :12.60   Min.   :341.6  
##  1st Qu.: 4.000   1st Qu.:284.0   1st Qu.:17.00   1st Qu.:385.6  
##  Median : 5.000   Median :346.5   Median :19.00   Median :393.1  
##  Mean   : 9.554   Mean   :413.2   Mean   :18.44   Mean   :388.1  
##  3rd Qu.:24.000   3rd Qu.:666.0   3rd Qu.:20.20   3rd Qu.:396.9  
##  Max.   :24.000   Max.   :711.0   Max.   :22.00   Max.   :396.9  
##      lstat             medv      
##  Min.   : 1.730   Min.   : 5.00  
##  1st Qu.: 6.915   1st Qu.:17.07  
##  Median :11.360   Median :21.20  
##  Mean   :12.392   Mean   :22.46  
##  3rd Qu.:16.530   3rd Qu.:25.00  
##  Max.   :31.990   Max.   :50.00
dim(datos_entrenamiento)
## [1] 404  14
dim(datos_prueba)
## [1] 102  14
#Funciones para evitar ambigüedades entre paquetes
metricas <- function(real, predicho) {
  
  predicho <- as.numeric(predicho)
  
  stopifnot(
    length(real) == length(predicho),
    all(is.finite(real)),
    all(is.finite(predicho))
  )
  
  error <- real - predicho
  SST <- sum((real - mean(real))^2)
  
  data.frame(
    MSE = mean(error^2),
    MAE = mean(abs(error)),
    RMSE = sqrt(mean(error^2)),
    R2 = if (SST > 0) {
      1 - sum(error^2) / SST
    } else {
      NA_real_
    }
  )
}

predicciones_modelos <- list()

27 13.1 Regresión multiple clásica

modelo_multiple <- lm(
  formula = medv ~ .,
  data = datos_entrenamiento
)

summary(modelo_multiple)
## 
## Call:
## lm(formula = medv ~ ., data = datos_entrenamiento)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -10.9253  -2.8996  -0.5041   2.3353  25.5623 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  69.631294   9.937964   7.007 1.08e-11 ***
## crim         -0.003944   0.252576  -0.016  0.98755    
## zn            0.038429   0.015323   2.508  0.01255 *  
## indus         0.021266   0.068810   0.309  0.75744    
## chas          2.516731   0.945653   2.661  0.00810 ** 
## nox         -19.103007   4.387933  -4.354 1.71e-05 ***
## rm            3.754678   0.577901   6.497 2.50e-10 ***
## age           0.003277   0.015322   0.214  0.83073    
## dis          -1.547157   0.247677  -6.247 1.10e-09 ***
## rad           0.220477   0.091901   2.399  0.01690 *  
## tax          -0.012543   0.004125  -3.041  0.00252 ** 
## ptratio      -1.005710   0.150981  -6.661 9.27e-11 ***
## black        -0.066425   0.020551  -3.232  0.00133 ** 
## lstat        -0.647512   0.061304 -10.562  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 4.838 on 390 degrees of freedom
## Multiple R-squared:  0.7248, Adjusted R-squared:  0.7156 
## F-statistic:    79 on 13 and 390 DF,  p-value: < 2.2e-16
confint(modelo_multiple)
##                     2.5 %        97.5 %
## (Intercept)  50.092607209  89.169980576
## crim         -0.500525718   0.492637024
## zn            0.008302818   0.068555340
## indus        -0.114018303   0.156550604
## chas          0.657515239   4.375946716
## nox         -27.729969960 -10.476043437
## rm            2.618486916   4.890868564
## age          -0.026846007   0.033400769
## dis          -2.034106303  -1.060207117
## rad           0.039795014   0.401159826
## tax          -0.020651662  -0.004433532
## ptratio      -1.302548910  -0.708870269
## black        -0.106830449  -0.026019727
## lstat        -0.768039742  -0.526983701
par(mfrow = c(2, 2))
plot(modelo_multiple)

par(mfrow = c(1, 1))

corrplot::corrplot.mixed(
  corr = cor(
    datos_entrenamiento[, c(
      "crim", "zn", "nox", "rm", "dis", "rad",
      "tax", "ptratio", "black", "lstat", "medv"
    )],
    method = "pearson"
  )
)

predictrm <- predict(
  modelo_multiple,
  newdata = datos_prueba
)

comparac <- data.frame(
  Real = datos_prueba$medv,
  Prediccion = predictrm
)

print(comparac)
##     Real Prediccion
## 5   36.2 27.8161987
## 7   22.9 22.0456477
## 13  21.7 19.8778429
## 16  19.9 18.8023444
## 17  23.1 20.8970848
## 19  20.2 23.4013429
## 21  13.6 12.1682042
## 23  15.2 14.1568947
## 27  16.6 15.6899293
## 29  18.4 19.1821639
## 33  13.2 18.4758364
## 38  21.0 22.4899591
## 40  30.8 30.8964168
## 41  34.9 34.0033274
## 44  24.7 24.4272232
## 45  21.2 22.9745213
## 48  16.6 16.8135173
## 49  14.4  6.1439763
## 52  20.5 23.4573853
## 53  25.0 27.2994232
## 54  23.4 23.3346098
## 60  19.6 19.7858913
## 61  18.7 16.2698540
## 64  25.0 21.1920668
## 69  17.4 16.2046858
## 72  21.7 22.5408246
## 79  21.2 21.0201662
## 84  22.9 24.9476239
## 107 19.5 15.5735367
## 109 19.8 21.8090824
## 110 19.4 18.8382501
## 119 20.4 23.4053211
## 127 15.7 15.1029100
## 142 14.4  0.5503539
## 149 17.8 10.0255837
## 170 22.3 31.3407367
## 178 24.6 29.1377174
## 182 36.2 27.4702816
## 183 37.9 34.3882428
## 187 50.0 36.3671766
## 205 50.0 43.2227759
## 206 22.6 21.9011763
## 207 24.4 23.0696012
## 212 19.3 14.8609352
## 218 28.7 28.1264057
## 226 50.0 40.7281782
## 230 31.5 32.2975953
## 239 23.7 29.0753381
## 246 18.5 11.7289376
## 251 24.4 23.3747292
## 254 42.8 29.1627779
## 259 36.0 37.2643151
## 264 31.0 34.0248605
## 265 36.5 36.1991804
## 266 22.8 28.0152685
## 268 50.0 41.4796694
## 274 35.2 35.4319597
## 275 32.4 35.8012568
## 276 32.0 33.7399005
## 280 35.1 35.2506752
## 294 23.9 25.3766317
## 295 21.7 23.8334404
## 300 29.0 33.0623658
## 301 24.8 30.4048235
## 303 26.4 28.8754899
## 306 28.4 30.0890008
## 307 33.4 34.9296138
## 311 16.1 21.4380722
## 317 17.8 16.4826513
## 333 19.4 25.4649931
## 339 20.6 21.4836502
## 351 22.9 19.8802137
## 353 18.6 15.9217456
## 360 22.6 17.0870010
## 370 50.0 33.0435228
## 380 10.2 15.0419405
## 382 10.9 16.2932838
## 385  8.8  8.8402701
## 386  7.2  4.8151416
## 390 11.5 11.2581758
## 391 15.1 14.7482098
## 398  8.5 13.7353260
## 399  5.0  5.5751599
## 402  7.2 15.5311540
## 407 11.9  8.3054424
## 408 27.9 23.4850858
## 410 27.5 34.2431676
## 429 11.0 33.7932213
## 438  8.7 35.1620583
## 442 17.1 15.3635236
## 444 15.4 16.1851878
## 449 14.1 14.9253299
## 453 16.1 16.5163732
## 459 14.9 24.0239058
## 461 16.4 26.8500442
## 462 17.7 17.7749763
## 464 20.2 20.5874764
## 468 19.1 18.5732507
## 487 19.1 17.4275056
## 494 21.8 19.5498335
## 498 18.3 17.7866234
## 504 23.9 27.7365116
print(metricas(datos_prueba$medv, predictrm))
##        MSE      MAE     RMSE       R2
## 1 35.09588 3.789056 5.924178 0.624757
plot(
  datos_prueba$medv,
  predictrm,
  xlab = "medv observado",
  ylab = "medv predicho"
)

abline(0, 1, col = "red")

#Análisis de residuos
qqnorm(residuals(modelo_multiple))
qqline(residuals(modelo_multiple), col = "red")

shapiro.test(residuals(modelo_multiple))
## 
##  Shapiro-Wilk normality test
## 
## data:  residuals(modelo_multiple)
## W = 0.93032, p-value = 8.735e-13
predicciones_modelos$Lineal <- predictrm

Interpretación: El modelo presenta asociación global significativa y explica el 72.48 % de la variabilidad en entrenamiento. En prueba obtiene MAE de 3.789 y RMSE de 5.924, con errores elevados en algunas observaciones. La falta de normalidad de los residuos y la ausencia de otros diagnósticos impiden considerarlo plenamente validado.

28 13.2 Regresión mediante arboles: RPART

set.seed(123)

mod1 <- rpart::rpart(
  medv ~ .,
  data = datos_entrenamiento,
  method = "anova",
  cp = 0.03
)

print(mod1)
## n= 404 
## 
## node), split, n, deviance, yval
##       * denotes terminal node
## 
##  1) root 404 33167.0100 22.46436  
##    2) lstat>=9.63 240  5540.0220 17.45875  
##      4) lstat>=14.915 126  2247.8950 14.65079 *
##      5) lstat< 14.915 114  1200.6280 20.56228 *
##    3) lstat< 9.63 164 12813.3300 29.78963  
##      6) rm< 6.808 102  3410.7530 25.17843  
##       12) age< 89.45 95  1432.3890 24.32737 *
##       13) age>=89.45 7   975.7143 36.72857 *
##      7) rm>=6.808 62  3665.6340 37.37581  
##       14) rm< 7.435 47  1960.4550 34.55745 *
##       15) rm>=7.435 15   162.0893 46.20667 *
rpart.plot(mod1)

plotcp(mod1)

#El error relativo no está necesariamente limitado entre 0 y 1.
predictr <- predict(
  mod1,
  newdata = datos_prueba
)

datacom <- data.frame(
  Prediccion = predictr,
  Real = datos_prueba$medv
)

print(datacom)
##     Prediccion Real
## 5     34.55745 36.2
## 7     20.56228 22.9
## 13    14.65079 21.7
## 16    24.32737 19.9
## 17    24.32737 23.1
## 19    20.56228 20.2
## 21    14.65079 13.6
## 23    14.65079 15.2
## 27    20.56228 16.6
## 29    20.56228 18.4
## 33    14.65079 13.2
## 38    24.32737 21.0
## 40    24.32737 30.8
## 41    34.55745 34.9
## 44    24.32737 24.7
## 45    24.32737 21.2
## 48    14.65079 16.6
## 49    14.65079 14.4
## 52    24.32737 20.5
## 53    24.32737 25.0
## 54    24.32737 23.4
## 60    24.32737 19.6
## 61    20.56228 18.7
## 64    24.32737 25.0
## 69    20.56228 17.4
## 72    20.56228 21.7
## 79    20.56228 21.2
## 84    24.32737 22.9
## 107   14.65079 19.5
## 109   20.56228 19.8
## 110   14.65079 19.4
## 119   14.65079 20.4
## 127   14.65079 15.7
## 142   14.65079 14.4
## 149   14.65079 17.8
## 170   20.56228 22.3
## 178   24.32737 24.6
## 182   24.32737 36.2
## 183   34.55745 37.9
## 187   46.20667 50.0
## 205   46.20667 50.0
## 206   20.56228 22.6
## 207   20.56228 24.4
## 212   14.65079 19.3
## 218   20.56228 28.7
## 226   46.20667 50.0
## 230   24.32737 31.5
## 239   24.32737 23.7
## 246   14.65079 18.5
## 251   24.32737 24.4
## 254   46.20667 42.8
## 259   34.55745 36.0
## 264   20.56228 31.0
## 265   34.55745 36.5
## 266   20.56228 22.8
## 268   46.20667 50.0
## 274   46.20667 35.2
## 275   24.32737 32.4
## 276   34.55745 32.0
## 280   34.55745 35.1
## 294   24.32737 23.9
## 295   20.56228 21.7
## 300   34.55745 29.0
## 301   34.55745 24.8
## 303   24.32737 26.4
## 306   24.32737 28.4
## 307   34.55745 33.4
## 311   20.56228 16.1
## 317   14.65079 17.8
## 333   24.32737 19.4
## 339   24.32737 20.6
## 351   24.32737 22.9
## 353   24.32737 18.6
## 360   20.56228 22.6
## 370   36.72857 50.0
## 380   14.65079 10.2
## 382   14.65079 10.9
## 385   14.65079  8.8
## 386   14.65079  7.2
## 390   14.65079 11.5
## 391   14.65079 15.1
## 398   14.65079  8.5
## 399   14.65079  5.0
## 402   14.65079  7.2
## 407   14.65079 11.9
## 408   20.56228 27.9
## 410   14.65079 27.5
## 429   14.65079 11.0
## 438   14.65079  8.7
## 442   14.65079 17.1
## 444   14.65079 15.4
## 449   14.65079 14.1
## 453   14.65079 16.1
## 459   14.65079 14.9
## 461   14.65079 16.4
## 462   20.56228 17.7
## 464   20.56228 20.2
## 468   14.65079 19.1
## 487   14.65079 19.1
## 494   20.56228 21.8
## 498   20.56228 18.3
## 504   34.55745 23.9
print(metricas(datos_prueba$medv, predictr))
##        MSE      MAE     RMSE        R2
## 1 21.92118 3.562674 4.682007 0.7656201
plot(
  datos_prueba$medv,
  predictr,
  xlab = "medv observado",
  ylab = "medv predicho"
)

abline(0, 1, col = "red")

#Importancia del árbol
impor <- mod1$variable.importance
print(impor)
##      lstat         rm      indus        nox        age       crim    ptratio 
## 19722.4583 14596.5348 10194.1889  8854.5990  8590.0519  6571.9531  1962.3775 
##        tax        dis         zn 
##  1651.1679  1633.5022   647.7197
if (length(impor)) {
  barplot(
    sort(impor, decreasing = TRUE),
    las = 2,
    main = "Importancia: RPART"
  )
}

predicciones_modelos$RPART <- predictr

El árbol CART identificó seis grupos mediante las variables lstat, rm y age. En el conjunto de prueba obtuvo un RMSE de 4.682 y un MAE de 3.563, inferiores a los de la regresión lineal múltiple. Estos resultados respaldan un mejor desempeño predictivo observado en esta partición, aunque la estabilidad del árbol y la selección de su complejidad requieren validación cruzada.

29 13.3 Regresión mediante arboles: TRESS

set.seed(123)

arbol_regresion <- tree::tree(
  medv ~ .,
  data = datos_entrenamiento,
  split = "deviance",
  control = tree::tree.control(
    nobs = nrow(datos_entrenamiento),
    mincut = 20,
    minsize = 50
  )
)

summary(arbol_regresion)
## 
## Regression tree:
## tree::tree(formula = medv ~ ., data = datos_entrenamiento, control = tree::tree.control(nobs = nrow(datos_entrenamiento), 
##     mincut = 20, minsize = 50), split = "deviance")
## Variables actually used in tree construction:
## [1] "lstat" "rm"    "crim"  "tax"  
## Number of terminal nodes:  8 
## Residual mean deviance:  19.54 = 7736 / 396 
## Distribution of residuals:
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max. 
## -14.61000  -2.25300  -0.06087   0.00000   1.95200  20.57000
if (!inherits(arbol_regresion, "singlenode")) {
  
  plot(arbol_regresion, type = "proportional")
  
  text(
    arbol_regresion,
    splits = TRUE,
    pretty = 0,
    cex = 0.8,
    col = "firebrick"
  )
}

predicciones <- predict(
  arbol_regresion,
  newdata = datos_prueba
)

print(metricas(datos_prueba$medv, predicciones))
##        MSE      MAE     RMSE        R2
## 1 30.68945 3.899743 5.539806 0.6718703
plot(
  datos_prueba$medv,
  predicciones,
  xlab = "medv observado",
  ylab = "medv predicho"
)

abline(0, 1, col = "red")

x <- seq_len(nrow(datos_prueba))

plot(
  x,
  datos_prueba$medv,
  pch = 18,
  col = "red",
  xlab = "Caso de prueba",
  ylab = "medv"
)

lines(x, predicciones, lwd = 1, col = "blue")

predicciones_modelos$TREE <- predicciones

El árbol de regresión construido con tree utilizó cuatro predictoras y generó ocho nodos terminales. En prueba obtuvo un RMSE de 5.540 y un MAE de 3.900. Aunque redujo el error cuadrático respecto a la regresión lineal, fue superado por el CART anterior, que presentó menores errores en todas las métricas reportadas.

30 13.4 SVM LINEAL CON CARET

set.seed(123)

modelo_svmlineal <- caret::train(
  medv ~ .,
  method = "svmLinear",
  data = datos_entrenamiento
)

print(modelo_svmlineal)
## Support Vector Machines with Linear Kernel 
## 
## 404 samples
##  13 predictor
## 
## No pre-processing
## Resampling: Bootstrapped (25 reps) 
## Summary of sample sizes: 404, 404, 404, 404, 404, 404, ... 
## Resampling results:
## 
##   RMSE     Rsquared   MAE     
##   5.29874  0.6623252  3.402129
## 
## Tuning parameter 'C' was held constant at a value of 1
predlineal <- predict(
  modelo_svmlineal,
  newdata = datos_prueba
)

print(metricas(datos_prueba$medv, predlineal))
##        MSE    MAE     RMSE        R2
## 1 35.22718 3.6286 5.935249 0.6233532
plot(
  datos_prueba$medv,
  predlineal,
  xlab = "medv observado",
  ylab = "medv predicho"
)

abline(0, 1, col = "red")

impor0 <- caret::varImp(modelo_svmlineal)
print(impor0)
## loess r-squared variable importance
## 
##         Overall
## lstat   100.000
## rm       76.152
## ptratio  35.193
## indus    29.444
## tax      28.005
## nox      24.189
## crim     22.940
## age      20.045
## rad      17.434
## dis      15.362
## zn       14.963
## black     4.545
## chas      0.000
plot(impor0, top = 7)

predicciones_modelos$SVM_lineal <- predlineal

La SVM lineal obtuvo un RMSE de prueba de 5.935 y un MAE de 3.629. Su desempeño fue cercano al de la regresión lineal y menos favorable que el del CART anterior. Estos resultados corresponden a una configuración con C = 1, por lo que no permiten establecer el rendimiento de una SVM cuya regularización haya sido seleccionada mediante validación.

31 13.5 SVM RADIAL CON CARET

set.seed(123)

modelo_svmradial <- caret::train(
  medv ~ .,
  method = "svmRadial",
  data = datos_entrenamiento
)

print(modelo_svmradial)
## Support Vector Machines with Radial Basis Function Kernel 
## 
## 404 samples
##  13 predictor
## 
## No pre-processing
## Resampling: Bootstrapped (25 reps) 
## Summary of sample sizes: 404, 404, 404, 404, 404, 404, ... 
## Resampling results across tuning parameters:
## 
##   C     RMSE      Rsquared   MAE     
##   0.25  5.092426  0.7043298  3.018846
##   0.50  4.763462  0.7309076  2.878858
##   1.00  4.543583  0.7468264  2.797269
## 
## Tuning parameter 'sigma' was held constant at a value of 0.09019658
## RMSE was used to select the optimal model using the smallest value.
## The final values used for the model were sigma = 0.09019658 and C = 1.
predlradial <- predict(
  modelo_svmradial,
  newdata = datos_prueba
)

print(metricas(datos_prueba$medv, predlradial))
##        MSE      MAE     RMSE        R2
## 1 29.90923 3.312934 5.468933 0.6802123
plot(
  datos_prueba$medv,
  predlradial,
  xlab = "medv observado",
  ylab = "medv predicho"
)

abline(0, 1, col = "red")

impor1 <- caret::varImp(modelo_svmradial)
print(impor1)
## loess r-squared variable importance
## 
##         Overall
## lstat   100.000
## rm       76.152
## ptratio  35.193
## indus    29.444
## tax      28.005
## nox      24.189
## crim     22.940
## age      20.045
## rad      17.434
## dis      15.362
## zn       14.963
## black     4.545
## chas      0.000
plot(impor1, top = 7)

predicciones_modelos$SVM_radial <- predlradial

La SVM radial obtuvo un RMSE de prueba de 5.469 y un MAE de 3.313, mejorando ambos indicadores respecto a la SVM lineal. Entre los modelos evaluados presentó el menor MAE, mientras que CART obtuvo el menor RMSE. En consecuencia, su superioridad depende del criterio de error priorizado y requiere confirmación mediante un procedimiento común de validación.

32 13.6 SVM CON E1071

model_reg <- e1071::svm(
  medv ~ .,
  data = datos_entrenamiento,
  cost = 1,
  gamma = 0.07692308,
  epsilon = 0.1
)

summary(model_reg)
## 
## Call:
## svm(formula = medv ~ ., data = datos_entrenamiento, cost = 1, gamma = 0.07692308, 
##     epsilon = 0.1)
## 
## 
## Parameters:
##    SVM-Type:  eps-regression 
##  SVM-Kernel:  radial 
##        cost:  1 
##       gamma:  0.07692308 
##     epsilon:  0.1 
## 
## 
## Number of Support Vectors:  283
print(model_reg)
## 
## Call:
## svm(formula = medv ~ ., data = datos_entrenamiento, cost = 1, gamma = 0.07692308, 
##     epsilon = 0.1)
## 
## 
## Parameters:
##    SVM-Type:  eps-regression 
##  SVM-Kernel:  radial 
##        cost:  1 
##       gamma:  0.07692308 
##     epsilon:  0.1 
## 
## 
## Number of Support Vectors:  283
pred <- predict(
  model_reg,
  newdata = datos_prueba
)

print(metricas(datos_prueba$medv, pred))
##        MSE      MAE     RMSE        R2
## 1 29.58155 3.273663 5.438892 0.6837159
plot(
  datos_prueba$medv,
  pred,
  xlab = "medv observado",
  ylab = "medv predicho"
)

abline(0, 1, col = "red")

predicciones_modelos$SVM_e1071 <- pred

#Comparación visual de TREE y SVM
par(mfrow = c(2, 1))

plot(
  datos_prueba$medv,
  predicciones,
  main = "TREE",
  xlab = "Observado",
  ylab = "Predicho"
)

abline(0, 1, col = "red")

plot(
  datos_prueba$medv,
  pred,
  main = "SVM",
  xlab = "Observado",
  ylab = "Predicho"
)

abline(0, 1, col = "red")

par(mfrow = c(1, 1))

La regresión de soporte vectorial radial utilizó 283 vectores de soporte y obtuvo un MAE de prueba de 3.274 y un RMSE de 5.439. Presentó el menor MAE entre los modelos mostrados, mientras que CART mantuvo el menor RMSE. La mejora respecto a la SVM radial anterior fue pequeña y requiere validación para establecer su estabilidad.

33 13.7 RED NEURONAL

#El bloque original con modered <- lm(...) era otra regresión
#lineal, no una red neuronal. La red real se ajusta a continuación.

#Normalización con parámetros exclusivos del entrenamiento
maxs <- apply(datos_entrenamiento, 2, max)
mins <- apply(datos_entrenamiento, 2, min)
rangos <- maxs - mins

if (any(rangos <= 0)) {
  stop("Hay variables constantes: revisar normalización.")
}

train_nrm <- as.data.frame(
  scale(
    datos_entrenamiento,
    center = mins,
    scale = rangos
  )
)

test_nrm <- as.data.frame(
  scale(
    datos_prueba,
    center = mins,
    scale = rangos
  )
)

#Prueba puede tener valores fuera de [0,1].
#No se recalculan sus parámetros ni se recortan esos valores.

nms <- names(train_nrm)
predictores_nn <- setdiff(nms, "medv")

frml <- reformulate(
  predictores_nn,
  response = "medv"
)

set.seed(123)

modelo.nn <- neuralnet::neuralnet(
  frml,
  data = train_nrm,
  hidden = c(7, 5, 3),
  threshold = 0.005,
  algorithm = "rprop+",
  linear.output = TRUE,
  stepmax = 1000000
)

#threshold es un criterio de gradiente, no un 5% de error.
if (
  is.null(modelo.nn$weights) ||
  length(modelo.nn$weights) == 0
) {
  stop("La red neuronal no convergió.")
}

pr.nn <- neuralnet::compute(
  modelo.nn,
  covariate = test_nrm[
    , predictores_nn,
    drop = FALSE
  ]
)$net.result

#Volver a unidades originales usando parámetros de entrenamiento
medv.predict <- as.numeric(pr.nn) *
  rangos["medv"] + mins["medv"]

medv.real <- datos_prueba$medv

print(metricas(medv.real, medv.predict))
##        MSE      MAE     RMSE        R2
## 1 47.56817 4.321949 6.896968 0.4914041
se.nn <- mean((medv.real - medv.predict)^2)

g_nn <- ggplot(
  data.frame(
    Real = medv.real,
    Prediccion = medv.predict
  ),
  aes(x = Real, y = Prediccion)
) +
  geom_point(color = "steelblue") +
  geom_abline(
    intercept = 0,
    slope = 1,
    color = "red"
  ) +
  labs(
    title = paste(
      "Red neuronal: MSE =",
      round(se.nn, 2)
    ),
    x = "medv observado",
    y = "medv predicho"
  ) +
  theme_minimal()

print(g_nn)

plot(modelo.nn)

predicciones_modelos$Red_neuronal <- medv.predict

La red neuronal obtuvo un RMSE de prueba de 6.897 y un MAE de 4.322, los mayores errores entre los modelos evaluados. En consecuencia, esta configuración no resulta competitiva para la predicción de medv en la partición analizada.

34 13.8 KNN PARA REGRESIÓN

set.seed(123)

modelo_knn <- caret::train(
  medv ~ .,
  data = datos_entrenamiento,
  method = "knn"
)

predic.knn <- predict(
  modelo_knn,
  newdata = datos_prueba
)

print(modelo_knn)
## k-Nearest Neighbors 
## 
## 404 samples
##  13 predictor
## 
## No pre-processing
## Resampling: Bootstrapped (25 reps) 
## Summary of sample sizes: 404, 404, 404, 404, 404, 404, ... 
## Resampling results across tuning parameters:
## 
##   k  RMSE      Rsquared   MAE     
##   5  6.954760  0.4163218  4.780243
##   7  7.029336  0.3971349  4.818830
##   9  7.053850  0.3863383  4.847622
## 
## RMSE was used to select the optimal model using the smallest value.
## The final value used for the model was k = 5.
print(metricas(datos_prueba$medv, predic.knn))
##        MSE      MAE     RMSE        R2
## 1 39.07344 4.567647 6.250875 0.5822292
plot(
  datos_prueba$medv,
  predic.knn,
  xlab = "medv observado",
  ylab = "medv predicho"
)

abline(0, 1, col = "red")

predicciones_modelos$KNN <- predic.knn

KNN seleccionó cinco vecinos y obtuvo un RMSE de prueba de 6.251 y un MAE de 4.568. Su desempeño fue inferior al de CART y las SVM evaluadas. Antes de descartar el método, debe verificarse el escalamiento de las predictoras y ampliarse la búsqueda del número de vecinos.

35 13.9 RANDOM FOREST CON CARET

ctrl <- caret::trainControl(
  method = "cv",
  number = 10
)

set.seed(123)

modelo_rf <- caret::train(
  medv ~ .,
  data = datos_entrenamiento,
  method = "rf",
  trControl = ctrl,
  ntree = 50,
  tuneLength = 5
)

predic.rf <- predict(
  modelo_rf,
  newdata = datos_prueba
)

print(modelo_rf)
## Random Forest 
## 
## 404 samples
##  13 predictor
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold) 
## Summary of sample sizes: 363, 364, 364, 363, 364, 363, ... 
## Resampling results across tuning parameters:
## 
##   mtry  RMSE      Rsquared   MAE     
##    2    3.960120  0.8314147  2.663905
##    4    3.754074  0.8420238  2.487804
##    7    3.514262  0.8588893  2.424408
##   10    3.535906  0.8566223  2.386582
##   13    3.562479  0.8534943  2.404967
## 
## RMSE was used to select the optimal model using the smallest value.
## The final value used for the model was mtry = 7.
print(metricas(datos_prueba$medv, predic.rf))
##        MSE      MAE     RMSE        R2
## 1 12.33245 2.347558 3.511759 0.8681422
plot(
  datos_prueba$medv,
  predic.rf,
  xlab = "medv observado",
  ylab = "medv predicho"
)

abline(0, 1, col = "red")

predicciones_modelos$RF_caret <- predic.rf

Random Forest, con mtry = 7, obtuvo un RMSE de prueba de 3.512 y un MAE de 2.348, los menores entre los modelos evaluados. Estos resultados lo sitúan como el candidato con mejor desempeño predictivo observado en esta partición, pendiente de confirmar mediante un procedimiento uniforme de validación.

36 13.10 RANDOM FOREST NATIVO

set.seed(123)

modelo.rf <- randomForest::randomForest(
  medv ~ .,
  data = datos_entrenamiento,
  mtry = 3,
  importance = TRUE
)

print(modelo.rf)
## 
## Call:
##  randomForest(formula = medv ~ ., data = datos_entrenamiento,      mtry = 3, importance = TRUE) 
##                Type of random forest: regression
##                      Number of trees: 500
## No. of variables tried at each split: 3
## 
##           Mean of squared residuals: 14.12679
##                     % Var explained: 82.79
plot(modelo.rf)

#Diagnóstico OOB del bosque
which.min(modelo.rf$mse)
## [1] 463
sqrt(min(modelo.rf$mse))
## [1] 3.745529
#Esto no convierte al mínimo puntual en un bosque final óptimo.
pred_randomForest <- predict(
  modelo.rf,
  newdata = datos_prueba
)

print(metricas(datos_prueba$medv, pred_randomForest))
##        MSE      MAE     RMSE        R2
## 1 13.08086 2.498751 3.616748 0.8601402
head(pred_randomForest)
##        5        7       13       16       17       19 
## 33.42292 20.53166 20.69208 19.78475 20.97609 19.40928
predicciones_modelos$RF_nativo <- pred_randomForest

El Random Forest de 500 árboles y mtry = 3 obtuvo un RMSE de prueba de 3.617 y un MAE de 2.499. Mostró un desempeño competitivo, aunque ligeramente inferior al bosque previamente ajustado con mtry = 7, que conserva los mejores resultados observados.

37 13.11 BOOSTING CON CARET

set.seed(123)

caret.gbm1 <- caret::train(
  medv ~ .,
  method = "gbm",
  data = datos_entrenamiento,
  tuneGrid = data.frame(
    n.trees = 100,
    interaction.depth = 2,
    shrinkage = c(0.3, 0.1, 0.05, 0.01, 0.005),
    n.minobsinnode = 10
  ),
  trControl = caret::trainControl(
    method = "cv",
    number = 5
  ),
  verbose = FALSE
)

print(caret.gbm1)
## Stochastic Gradient Boosting 
## 
## 404 samples
##  13 predictor
## 
## No pre-processing
## Resampling: Cross-Validated (5 fold) 
## Summary of sample sizes: 324, 325, 323, 323, 321 
## Resampling results across tuning parameters:
## 
##   shrinkage  RMSE      Rsquared   MAE     
##   0.005      7.022276  0.7229389  4.932496
##   0.010      5.849212  0.7385757  4.041115
##   0.050      4.160123  0.7890028  2.771716
##   0.100      3.949786  0.8086931  2.630274
##   0.300      3.912170  0.8141495  2.796424
## 
## Tuning parameter 'n.trees' was held constant at a value of 100
## Tuning
##  parameter 'interaction.depth' was held constant at a value of 2
## 
## Tuning parameter 'n.minobsinnode' was held constant at a value of 10
## RMSE was used to select the optimal model using the smallest value.
## The final values used for the model were n.trees = 100, interaction.depth =
##  2, shrinkage = 0.3 and n.minobsinnode = 10.
print(caret::varImp(caret.gbm1))
## gbm variable importance
## 
##         Overall
## lstat   100.000
## rm       56.711
## dis      21.693
## ptratio  16.238
## nox      10.780
## age      10.405
## crim      9.418
## black     7.228
## tax       3.787
## chas      2.097
## rad       1.522
## indus     1.292
## zn        0.000
pred1 <- predict(
  caret.gbm1,
  newdata = datos_prueba
)

print(metricas(datos_prueba$medv, pred1))
##        MSE      MAE     RMSE        R2
## 1 14.81276 2.822391 3.848735 0.8416229
predicciones_modelos$Boosting_caret <- pred1

38 13.12 BOOSTING NATIVO

set.seed(123)

gbm.fit <- gbm::gbm(
  medv ~ .,
  data = datos_entrenamiento,
  distribution = "gaussian",
  verbose = FALSE
)

print(gbm.fit)
## gbm::gbm(formula = medv ~ ., distribution = "gaussian", data = datos_entrenamiento, 
##     verbose = FALSE)
## A gradient boosted model with gaussian loss function.
## 100 iterations were performed.
## There were 13 predictors of which 11 had non-zero influence.
summary(gbm.fit)

##             var    rel.inf
## lstat     lstat 56.3618198
## rm           rm 27.1278384
## ptratio ptratio  4.6250258
## nox         nox  4.1113404
## dis         dis  2.3897223
## black     black  1.7361318
## crim       crim  1.1788200
## chas       chas  1.1464074
## age         age  0.6098516
## tax         tax  0.6029932
## rad         rad  0.1100491
## zn           zn  0.0000000
## indus     indus  0.0000000
pred <- predict(
  gbm.fit,
  newdata = datos_prueba,
  n.trees = gbm.fit$n.trees
)

print(metricas(datos_prueba$medv, pred))
##        MSE      MAE     RMSE        R2
## 1 15.36724 2.845336 3.920108 0.8356944
predicciones_modelos$Boosting_nativo <- as.numeric(pred)

39 13.13 BAGGING CON CARET

#Eliminar posibles resultados anteriores de Bagging
if (exists("bagged_cv")) rm(bagged_cv)
if (exists("pred_bagging")) rm(pred_bagging)

#Comprobar datos
stopifnot(
  is.numeric(datos_entrenamiento$medv),
  !anyNA(datos_entrenamiento),
  !anyNA(datos_prueba)
)

ctrl <- caret::trainControl(
  method = "cv",
  number = 10,
  allowParallel = FALSE
)

set.seed(123)

bagged_cv <- caret::train(
  medv ~ .,
  data = datos_entrenamiento,
  method = "treebag",
  trControl = ctrl,
  metric = "RMSE",
  nbagg = 100
)

#Ejecutar estas líneas solo si el entrenamiento terminó sin error
print(bagged_cv)
## Bagged CART 
## 
## 404 samples
##  13 predictor
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold) 
## Summary of sample sizes: 363, 364, 364, 363, 364, 363, ... 
## Resampling results:
## 
##   RMSE      Rsquared   MAE     
##   4.169714  0.8005339  2.837237
pred_bagging <- as.numeric(
  predict(
    bagged_cv,
    newdata = datos_prueba
  )
)

print(metricas(datos_prueba$medv, pred_bagging))
##        MSE      MAE     RMSE        R2
## 1 16.78556 2.860285 4.097019 0.8205298
predicciones_modelos$Bagging_caret <- pred_bagging

40 13.14 BAGGING NATIVO

set.seed(123)

bagged_m1 <- ipred::bagging(
  medv ~ .,
  data = datos_entrenamiento,
  coob = TRUE
)

print(bagged_m1)
## 
## Bagging regression trees with 25 bootstrap replications 
## 
## Call: bagging.data.frame(formula = medv ~ ., data = datos_entrenamiento, 
##     coob = TRUE)
## 
## Out-of-bag estimate of root mean squared error:  4.4754
#Evaluar entre 10 y 50 árboles mediante OOB
ntree <- 10:50
rmse <- numeric(length(ntree))
modelos_bagging <- vector("list", length(ntree))

for (i in seq_along(ntree)) {
  
  set.seed(123)
  
  model <- ipred::bagging(
    medv ~ .,
    data = datos_entrenamiento,
    coob = TRUE,
    nbagg = ntree[i]
  )
  
  rmse[i] <- as.numeric(model$err)
  modelos_bagging[[i]] <- model
}

if (any(!is.finite(rmse))) {
  stop("Hay errores OOB inválidos en bagging.")
}

indice_bag <- which.min(rmse)

#El original predecía con el último modelo del bucle.
#Ahora se utiliza el seleccionado por OOB.
bagged_m1 <- modelos_bagging[[indice_bag]]

plot(
  ntree,
  rmse,
  type = "l",
  lwd = 2,
  xlab = "Número de árboles",
  ylab = "RMSE OOB"
)

abline(
  v = ntree[indice_bag],
  col = "red",
  lty = "dashed"
)

cat(
  "\nÁrboles seleccionados por OOB:",
  ntree[indice_bag],
  "\n"
)
## 
## Árboles seleccionados por OOB: 34
pred1 <- predict(
  bagged_m1,
  newdata = datos_prueba
)

print(metricas(datos_prueba$medv, pred1))
##        MSE      MAE    RMSE        R2
## 1 17.69792 2.936425 4.20689 0.8107749
predicciones_modelos$Bagging_nativo <- pred1

41 13.16 Tabla comparativa

tabla_prueba <- bind_rows(
  lapply(names(predicciones_modelos), function(nombre) {
    
    cbind(
      Modelo = nombre,
      metricas(
        datos_prueba$medv,
        predicciones_modelos[[nombre]]
      )
    )
  })
) %>%
  arrange(RMSE)

cat("\n========== COMPARACIÓN EN PRUEBA ==========\n")
## 
## ========== COMPARACIÓN EN PRUEBA ==========
print(tabla_prueba)
##             Modelo      MSE      MAE     RMSE        R2
## 1         RF_caret 12.33245 2.347558 3.511759 0.8681422
## 2        RF_nativo 13.08086 2.498751 3.616748 0.8601402
## 3   Boosting_caret 14.81276 2.822391 3.848735 0.8416229
## 4  Boosting_nativo 15.36724 2.845336 3.920108 0.8356944
## 5    Bagging_caret 16.78556 2.860285 4.097019 0.8205298
## 6   Bagging_nativo 17.69792 2.936425 4.206890 0.8107749
## 7            RPART 21.92118 3.562674 4.682007 0.7656201
## 8        SVM_e1071 29.58155 3.273663 5.438892 0.6837159
## 9       SVM_radial 29.90923 3.312934 5.468933 0.6802123
## 10            TREE 30.68945 3.899743 5.539806 0.6718703
## 11          Lineal 35.09588 3.789056 5.924178 0.6247570
## 12      SVM_lineal 35.22718 3.628600 5.935249 0.6233532
## 13             KNN 39.07344 4.567647 6.250875 0.5822292
## 14    Red_neuronal 47.56817 4.321949 6.896968 0.4914041
#------------------------------------------------------------------#
#               GRÁFICO COMPARATIVO DEL RMSE
#------------------------------------------------------------------#

g_rmse <- ggplot(
  tabla_prueba,
  aes(x = reorder(Modelo, RMSE), y = RMSE)
) +
  geom_col(fill = "steelblue") +
  coord_flip() +
  labs(
    title = "Comparación de modelos sobre Boston imputado",
    subtitle = "Evaluación en prueba: menor RMSE es mejor",
    x = NULL,
    y = "RMSE"
  ) +
  theme_minimal()

print(g_rmse)

#------------------------------------------------------------------#
#               OBSERVADO VS PREDICHO
#------------------------------------------------------------------#

tabla_predicciones <- bind_rows(
  lapply(names(predicciones_modelos), function(nombre) {
    
    data.frame(
      Modelo = nombre,
      Real = datos_prueba$medv,
      Prediccion = as.numeric(
        predicciones_modelos[[nombre]]
      )
    )
  })
)

g_predicciones <- ggplot(
  tabla_predicciones,
  aes(x = Real, y = Prediccion)
) +
  geom_point(color = "steelblue", alpha = 0.6) +
  geom_abline(
    intercept = 0,
    slope = 1,
    color = "red"
  ) +
  facet_wrap(~ Modelo, ncol = 3) +
  coord_equal() +
  labs(
    title = "Valores observados vs predichos",
    x = "medv observado",
    y = "medv predicho"
  ) +
  theme_minimal()

print(g_predicciones)

42 14. Conclusiones

Random Forest presentó el mejor desempeño predictivo entre los métodos evaluados. La configuración con mtry = 7 obtuvo el menor MSE (12.33245), MAE (2.34756) y RMSE (3.51176), junto con el mayor \(R^2\) reportado (0.86814) en el conjunto de prueba. Por tanto, se considera el método más adecuado para predecir medv en la partición analizada, siempre que todos los modelos se hayan evaluado sobre las mismas observaciones y sin filtración de información.