This document contains the code for the AURORA ELA analysis with a Z TRANSFORMATION ON ALL MODEL DATA. In this analysis, we will explore the relationship between childhood trauma (CTQ) and pain outcomes in the AURORA dataset. We will perform correlation analysis, linear models, repeated measures models, and assess the relationship between CTQ and pain outcome trajectories. This is a preliminary draft of the analysis that will be completed over the next 2 weeks.

Set up

Import libraries

rm(list = ls())

libraries <- c("tidyverse", "MASS", "rstatix", "corrplot", "nlme", "sjPlot", "readxl", "nnet", "broom", "lmtest", "forcats","car", "highcharter", "ggplot2", "corrr", "ggcorrplot", "gridExtra", "skimr", "pROC", "gtsummary", "dunn.test", "tidyr", "purrr", "dplyr")

suppressMessages(suppressWarnings(
  invisible(lapply(libraries, library, character.only = TRUE))))


Import all freeze 4 datasets

Note: For the purpose of this draft code file, Lauren has already combined all of the freeze 4 datasets into one file. This pre-combined file, called ELA_full_data_raw.csv below, will be used for the initial analysis. The full file import code will be rendered and applied in the final script

#Read in the dataset
data_1 <- read.csv("AURORA_full_update02102022_New.csv",check.names=F)[-1]

#freeze 4 datasets
AURORA_Freeze_4_general_mod <- read_csv("AURORA_Freeze_4_general_mod.csv",na = ".")
AURORA_Freeze_4_demogr_mod <- read_csv("AURORA_Freeze_4_demogr_mod.csv",na = ".")
AURORA_Freeze_4_pain_mod <- read_csv("AURORA_Freeze_4_pain_mod.csv",na = ".")

AURORA_Freeze_4_ctq_mod <- read_csv("AURORA_Freeze_4_ctq_mod.csv",na = ".")
AURORA_F4_CTQ_item <- readxl::read_excel("AURORA_F4_CTQ_item.xlsx")
#AURORA_Freeze_4_pdi_mod <- read_csv("AURORA_Freeze_4_pdi_mod.csv",na = ".")
SiteID <- read_excel("SiteID.xlsx")
FZ4_df0 <- AURORA_Freeze_4_demogr_mod %>% inner_join(AURORA_F4_CTQ_item,by="PID") %>% 
  inner_join(AURORA_Freeze_4_pain_mod,by="PID") %>% 
  inner_join(AURORA_Freeze_4_ctq_mod,by="PID") %>% 
  #inner_join(AURORA_Freeze_4_pdi_mod,by="PID") %>% 
  inner_join(SiteID,by="PID") %>% 
  mutate(Site_New = case_when(SiteID %in% c("Baystate","BMC", "Beth Israel", "BWH", "Cooper","Einstein","Jefferson","MGH","Miriam","Penn","Rhode Island","St. John","St. Joseph","Temple","UMass") ~ "NorthEast",SiteID %in% c("Baylor", "Emory ED", "Jacksonville","UAB","UNC","UT Houston","UT Southwestern","Vanderbilt") ~ "SouthEast", SiteID %in% c("39","49","Beaumont Royal Oak","Beaumont Troy","Eskenazi","Henry Ford","Cincinnati","Indiana","WashU","WashU DP") ~ "Midwest")) %>% 
  convert_as_factor(Site_New,ED_GenderBirthCert,ED_GenderNow,ED_Marital,ED_RaceEthCode,ED_highestgrade,WK2_EmploymentCode,WK2_IncomeCode) %>% 
  mutate_at(vars(contains("WK2_Childhood")),as.numeric) %>% dplyr::select(-SiteID) %>% #2682
  mutate(WK2_Bullying_Total = WK2_ChildhoodBullying+WK2_ChildhoodHitOrHurt) %>% 
  inner_join(data_1 %>% dplyr::select(PID,WK8_Pain_C,M3_Pain_C,M6_Pain_C),by="PID") %>% 
  filter(is.na(WK2_CTQSF_SexAbu_RS) == F) %>% 
  filter(is.na(WK2_CTQSF_PhyAbu_RS)== F) %>% 
  filter(is.na(WK2_CTQSF_EmoAbu_RS)== F) %>% 
  filter(is.na(WK2_CTQSF_EmoNeg_RS) == F) %>% 
  filter(is.na(WK2_CTQSF_PhyNeg_RS) == F) %>% 
  filter(is.na(WK2_Bullying_Total) == F) %>% #2483
  mutate(log_WK2_CTQSF_Total_RS = log2(WK2_CTQSF_Total_RS+1),log_ED_NowPain=log2(ED_NowPain+1))


Below: Read in the completed dataframe with each of the separate AURORA files. Lauren did this on her end for ease of use in this draft code analysis. Latent class trajectories also imported.

Troubleshooting why the R environment is all fucked up and nothing works

#install.packages("dplyr")
library(readxl)
library(dplyr)

Trauma_df <- read_excel("AURORA_Freeze_4_trauma_mod.xlsx")

# Explicitly set select to refer to dplyr::select
select <- dplyr::select
# Import datasets
FZ4_df <- read_csv("ELA_full_data_raw.csv")
New names:
• `` -> `...1`
Rows: 2483 Columns: 78
── Column specification ───────────────────────────────────────────────────────────────────────────────────────────────────────────
Delimiter: ","
chr  (1): Site_New
dbl (77): ...1, PID, ED_GenderBirthCert, ED_GenderNow, ED_Age, ED_Marital, ED_RaceEthCode, ED_highestgrade, BMI, WK2_Employment...

ℹ Use `spec()` to retrieve the full column specification for this data.
ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
pain_trajectory <- read_csv("pain_latent_class_4.csv")
Rows: 2943 Columns: 6
── Column specification ───────────────────────────────────────────────────────────────────────────────────────────────────────────
Delimiter: ","
chr (1): pain_Class_MostLikely
dbl (5): PID, Probability_Class1, Probability_Class2, Probability_Class3, Probability_Class4

ℹ Use `spec()` to retrieve the full column specification for this data.
ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
PTSD_df <- read_excel("AURORA_Freeze_4_ptsd_mod.xlsx")
Trauma_df <- read_excel("AURORA_Freeze_4_trauma_mod.xlsx")
Injury_df <- read_excel("AURORA_Freeze_4_injury_mod.xlsx")
ADI_df <- read_excel("AURORA_Freeze_4_ses_mod.xlsx",na = ".")

# Combine datasets
df_traj <- FZ4_df %>%
  inner_join(Trauma_df %>% select(PID, ED_Event_BroadClass), by = "PID") %>%
  inner_join(Injury_df %>% select(PID, ED_Concussion), by = "PID") %>%
  inner_join(ADI_df %>% select(PID, ADI_NatRank), by = "PID") %>%
  inner_join(pain_trajectory %>% select(PID, pain_Class_MostLikely), by = "PID")
#export <- df_traj[,c(2,82,70)]
#write.csv(export, "ELA_full_data.csv")

#import xiady df AURORA_Construct_Score_FS_Frz4_Data.csv
df_xiaodi <- read_csv("AURORA_Construct_Score_FS_Frz4_Data.csv")
Rows: 2887 Columns: 141
── Column specification ───────────────────────────────────────────────────────────────────────────────────────────────────────────
Delimiter: ","
chr (140): Pain_1, Pain_9, Pain_21, Pain_31, Pain_43, Pain_53, Pain_67, Pain_77, Pain_105, Pain_147, Pain_196, Pain_238, Pain_2...
dbl   (1): PID

ℹ Use `spec()` to retrieve the full column specification for this data.
ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
#get rid of everything but the variables that start with Pain
df_xiaodi2 <- df_xiaodi %>% select(PID, starts_with("Pain")) %>% as.data.frame()


#  bind it by PID to our data set and send me a simpler CSV that is just PID, Pain Trajectory, and Pain Scores for all the time points?

pain_scores_df <- df_traj[,c(2,82)]

#join pain_scores_df and df_xiaodi2 by PID
xiaodi_df_for_Lauren <- pain_scores_df %>% inner_join(df_xiaodi2, by = "PID") 

#write csv of xiaodi_df_for_Lauren
write.csv(xiaodi_df_for_Lauren, "xiaodi_df_for_Lauren.csv")


Clean dataframe

Relevel and refactor features

Refactor pain trajectories and Relevel to “low pain” as the reference group

df_traj <- df_traj %>%
  rename(Pain_Class = pain_Class_MostLikely)

df_traj <- df_traj %>%
  mutate(Pain_Class = case_when(
    Pain_Class == "Class 1" ~ "moderate recovery",
    Pain_Class == "Class 2" ~ "moderate",
    Pain_Class == "Class 3" ~ "low",
    Pain_Class == "Class 4" ~ "high",
    TRUE ~ as.character(Pain_Class)  # This handles any unexpected values
  )) %>%
  mutate(Pain_Class = factor(Pain_Class)) %>%
  mutate(Pain_Class = relevel(Pain_Class, ref = "low"))

Factorize and rename categorical variables

factor_vars <- c("ED_GenderBirthCert", "ED_Event_BroadClass", "ED_Marital", 
                 "WK2_EmploymentCode", "ED_highestgrade", "ED_RaceEthCode", "PRE_Pain_MdSv")
df_traj[factor_vars] <- lapply(df_traj[factor_vars], as.factor)

#in gender, change 1 to male and 2 to female
df_traj$ED_GenderBirthCert <- ifelse(df_traj$ED_GenderBirthCert == 1, "Male", "Female")

#in pre pain, change 1 to yes and 0 to no .. is this correct?
df_traj$PRE_Pain_MdSv <- ifelse(df_traj$PRE_Pain_MdSv == 1, "Yes", "No")

# Convert continuous variables to numeric
df_traj$ED_PDI_RS <- as.numeric(df_traj$ED_PDI_RS)
df_traj$ED_Concussion <- as.numeric(df_traj$ED_Concussion)
Warning: NAs introduced by coercion
#rename WK2 CTQ total column to CTQ_Total
df_traj <- df_traj %>%
  rename(CTQ_Total = WK2_CTQSF_Total_RS)

general clean up, renaming, removing negatives

#Make any value less than 0 in the bullying total == NA
df_traj$WK2_Bullying_Total <- ifelse(df_traj$WK2_Bullying_Total < 0, NA, df_traj$WK2_Bullying_Total)

#Make any value less than 0 in ADI == NA
df_traj$ADI_NatRank <- ifelse(df_traj$ADI_NatRank < 0, NA, df_traj$ADI_NatRank)


#3 bullying rows have negative numbers

#remove the rows in WK2_Bullying_Total that contain negative values


df_traj <- df_traj %>% filter(WK2_Bullying_Total >= 0)

relevel categories for trauma type

df_traj <- df_traj %>%
  mutate(ED_Event_BroadClass = case_when(
    ED_Event_BroadClass == "1" ~ "MVC/Non-motor Collision",
    ED_Event_BroadClass == "6" ~ "MVC/Non-motor Collision",
    ED_Event_BroadClass == "2" ~ "Physical/Sexual Abuse",
    ED_Event_BroadClass == "3" ~ "Physical/Sexual Abuse",
    ED_Event_BroadClass == "4" ~ "Other",
    ED_Event_BroadClass == "5" ~ "Other",
    ED_Event_BroadClass == "7" ~ "Other",
    ED_Event_BroadClass == "8" ~ "Other",
    ED_Event_BroadClass == "9" ~ "Other",
    ED_Event_BroadClass == "10" ~ "Other",
    ED_Event_BroadClass == "11" ~ "Other",
    TRUE ~ as.character(ED_Event_BroadClass)  # Keeps any other values unchanged
  ))

# Convert ED_Event broad class to factor
df_traj$ED_Event_BroadClass <- factor(df_traj$ED_Event_BroadClass)

table(df_traj$ED_Event_BroadClass)

MVC/Non-motor Collision                   Other   Physical/Sexual Abuse 
                   1909                     340                     231 


Relevel categories for education

#relevel education category
# 1- did not finish HS (codes 0-12) 2- HS grad + some college (codes 13-15) 3- college grad (Bachelors or Associates) (codes 16-18) 4- post grad codes(19-21)
df_traj <- df_traj %>%
  mutate(ED_highestgrade = case_when(
    ED_highestgrade == "0" ~ "Did not finish HS",
    ED_highestgrade == "1" ~ "Did not finish HS",
    ED_highestgrade == "7" ~ "Did not finish HS",
    ED_highestgrade == "8" ~ "Did not finish HS",
    ED_highestgrade == "9" ~ "Did not finish HS",
    ED_highestgrade == "10" ~ "Did not finish HS",
    ED_highestgrade == "11" ~ "Did not finish HS",
    ED_highestgrade == "12" ~ "Did not finish HS",
    ED_highestgrade == "13" ~ "HS Grad/Some College",
    ED_highestgrade == "14" ~ "HS Grad/Some College",
    ED_highestgrade == "15" ~ "HS Grad/Some College",
    ED_highestgrade == "16" ~ "Bach or Assoc degree",
    ED_highestgrade == "17" ~ "Bach or Assoc degree",
    ED_highestgrade == "18" ~ "Bach or Assoc degree",
    ED_highestgrade == "19" ~ "Post-graduate education",
    ED_highestgrade == "20" ~ "Post-graduate education",
    ED_highestgrade == "21" ~ "Post-graduate education",
    ED_highestgrade == "-7" ~ NA,
    ED_highestgrade == "-5" ~ NA,
    TRUE ~ as.character(ED_highestgrade)  # Keeps any other values unchanged
  ))

# Convert to factor
df_traj$ED_highestgrade <- factor(df_traj$ED_highestgrade)

table(df_traj$ED_highestgrade)

   Bach or Assoc degree       Did not finish HS    HS Grad/Some College Post-graduate education 
                    695                     267                    1321                     189 


Re-level marriage category

#relevel marrital status category
#marital status 1-married 2-separated 3-divorced 4-annulled 5-widowed 6-single
#4. marriage - combine 2+3+4+5 as a single category

df_traj <- df_traj %>%
  mutate(ED_Marital = case_when(
    ED_Marital == "1" ~ "Married",
    ED_Marital == "2" ~ "Divorced/Widowed",
    ED_Marital == "3" ~ "Divorced/Widowed",
    ED_Marital == "4" ~ "Divorced/Widowed",
    ED_Marital == "5" ~ "Divorced/Widowed",
    ED_Marital == "6" ~ "Single",
    TRUE ~ as.character(ED_Marital)  # Keeps any other values unchanged
  ))

# Convert to factor
df_traj$ED_Marital <- factor(df_traj$ED_Marital)

table(df_traj$ED_Marital)

Divorced/Widowed          Married           Single 
             446              539             1483 


Subset to final df for analysis

Subset df_traj to our final df that will be used for model analysis, keep only the features needed.

df <- df_traj %>%
  select(PID, Pain_Class,ED_Age, Site_New, ED_RaceEthCode, ED_GenderBirthCert, ADI_NatRank, CTQ_Total, 
         BMI, PRE_Pain_MdSv, WK2_EmploymentCode, ED_Marital, ED_highestgrade, 
         ED_Concussion, ED_Event_BroadClass, ED_PDI_RS, WK2_CTQSF_PhyAbu_RS, WK2_CTQSF_EmoAbu_RS, WK2_CTQSF_SexAbu_RS, WK2_CTQSF_PhyNeg_RS, WK2_CTQSF_EmoNeg_RS, WK2_Bullying_Total)


Add the CTQ triad score that is a combination of bullying, physical abuse, and emotional abuse scores. Sarah requested to examine the two different types of bullying questions

#add combination CTQ score
df$CTQ_Triad <- df$WK2_Bullying_Total + df$WK2_CTQSF_PhyAbu_RS + df$WK2_CTQSF_EmoAbu_RS

#print the rows that have NA in the CTQ triad
df %>% filter(is.na(CTQ_Triad))
#Confirms that for the CTQ triad, if any of the additive features contain NA, then the final score is NA

# Add the two different types of bullying question
df <- df %>%
  left_join(FZ4_df %>% select(PID, BulliedSimple = 20, BulliedHitOrHurt = 21), by = "PID")

#remove first column PID
df <- df %>% select(-PID)
#make all of df[,c(2,6:8)]) numeric
df[,c(2,6:8)] <- lapply(df[,c(2,6:8)], as.numeric)


Binary scores for later models

df$Bullying_Any <- ifelse(df$WK2_Bullying_Total > 0, 1, 0)
df$PhyAbu_Any <- ifelse(df$WK2_CTQSF_PhyAbu_RS > 0, 1, 0)
df$EmoAbu_Any <- ifelse(df$WK2_CTQSF_EmoAbu_RS > 0, 1, 0)
df$SexAbu_Any <- ifelse(df$WK2_CTQSF_SexAbu_RS > 0, 1, 0)
df$PhyNeg_Any <- ifelse(df$WK2_CTQSF_PhyNeg_RS > 0, 1, 0)
df$EmoNeg_Any <- ifelse(df$WK2_CTQSF_EmoNeg_RS > 0, 1, 0)
df$CTQ_Any <- ifelse(df$CTQ_Total > 0, 1, 0)


Z-transform scaling

Z-scaling is a method of standardizing the data so that it has a mean of 0 and a standard deviation of 1. This is done to make the data more interpretable and to ensure that the variables are on the same scale. the scale function works by subtracting the mean of the data from each value and then dividing by the standard deviation. This is done for each column in the data frame.

#scale
df[, c(7, 16:22)] <- scale(df[, c(7, 16:22)])
df[, c(7, 16:22)] <- lapply(df[, c(7, 16:22)], function(x) as.numeric(scale(x)))
#str(df)

summary(df)




Models

Model 1: Base Model

Main multi-nominal regression model with CTQ as a predictor variable, including our standard covariates (same in linear models), and latent pain trajectories as the dependent variables. Model 2 is this with extra features. extract marginal means from base model for making graphs

#pain trajectory ~ age + sex + race + site + CTQ
m1 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Total, data = df)
# weights:  40 (27 variable)
initial  value 3428.305955 
iter  10 value 3145.752220
iter  20 value 3098.312611
iter  30 value 3081.080649
final  value 3080.567070 
converged
#view output
tidy(m1, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5))) 
#examine variance inflation factor to assess collinearity
vif(m1)
Warning in vif.default(m1) : No intercept: vifs may not be sensible.
                        GVIF Df GVIF^(1/(2*Df))
ED_Age             12.103945  1        3.479072
Site_New            3.792127  2        1.395471
ED_RaceEthCode     16.213444  3        1.590911
ED_GenderBirthCert  1.753029  1        1.324020
CTQ_Total           1.371539  1        1.171127

Variance Inflation Factor (VIF) is used to detect multicollinearity. VIF > 10: Indicates high multicollinearity that might be problematic. VIF between 5 and 10: Moderate multicollinearity that might need addressing. VIF < 5: Generally considered acceptable.


Model 2: Additional Features

m2 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Total + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2741.339524
iter  20 value 2550.555155
iter  30 value 2496.401666
iter  40 value 2482.971837
iter  50 value 2482.225214
final  value 2482.128451 
converged
tidy(m2, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

vif(m2)
Warning in vif.default(m2) : No intercept: vifs may not be sensible.
                         GVIF Df GVIF^(1/(2*Df))
ED_Age              17.705104  1        4.207743
Site_New             4.738185  2        1.475377
ED_RaceEthCode      19.673930  3        1.643041
ED_GenderBirthCert   1.941991  1        1.393553
CTQ_Total            1.448485  1        1.203530
BMI                 18.363080  1        4.285216
PRE_Pain_MdSv        3.067227  1        1.751350
ED_Marital          10.289081  2        1.790994
ADI_NatRank         12.774021  1        3.574076
ED_Event_BroadClass  2.156180  2        1.211773
ED_PDI_RS            7.261578  1        2.694732

Model 3: Sex*CTQ interaction

#3rd model is same as M2 but with sex*CTQ interaction
m3 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Total + BMI + PRE_Pain_MdSv + ED_Concussion + ED_PDI_RS + ED_GenderBirthCert*CTQ_Total, data = df_traj)
# weights:  60 (42 variable)
initial  value 3013.803941 
iter  10 value 2869.274549
iter  20 value 2732.072060
iter  30 value 2594.035122
iter  40 value 2585.329903
iter  50 value 2585.072938
iter  50 value 2585.072937
iter  50 value 2585.072937
final  value 2585.072937 
converged
tidy(m3, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Models 4-8: CTQ subtypes

#4th model is same as m0 but only week 2 emotional abuse scale
m4 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_EmoAbu_RS, data = df_traj)
# weights:  40 (27 variable)
initial  value 3428.305955 
iter  10 value 3158.803635
iter  20 value 3078.403490
iter  30 value 3066.446141
final  value 3066.318761 
converged
tidy(m4, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
#5th model is physical abuse
m5 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_PhyAbu_RS, data = df_traj)
# weights:  40 (27 variable)
initial  value 3428.305955 
iter  10 value 3162.461193
iter  20 value 3091.560918
iter  30 value 3080.983373
final  value 3080.817912 
converged
tidy(m5, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))%>% 
  filter(term == "CTQ_Total")

#physical abuse*sex interaction term added
m5b <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_PhyAbu_RS + WK2_CTQSF_PhyAbu_RS*ED_GenderBirthCert, data = df_traj)
# weights:  44 (30 variable)
initial  value 3428.305955 
iter  10 value 3150.529982
iter  20 value 3091.547082
iter  30 value 3076.766799
final  value 3075.806125 
converged
tidy(m5b, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
#6th model is sexual abuse
m6 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_SexAbu_RS, data = df_traj)
# weights:  40 (27 variable)
initial  value 3428.305955 
iter  10 value 3175.149270
iter  20 value 3101.636730
iter  30 value 3092.659879
final  value 3092.509370 
converged
tidy(m6, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
#7th model is emotional neglect
m7 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_EmoNeg_RS, data = df_traj)
# weights:  40 (27 variable)
initial  value 3428.305955 
iter  10 value 3153.150877
iter  20 value 3111.094505
iter  30 value 3106.959691
final  value 3106.761270 
converged
tidy(m7, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
#8th model is physical neglect
m8 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_PhyNeg_RS, data = df_traj)
# weights:  40 (27 variable)
initial  value 3428.305955 
iter  10 value 3159.001543
iter  20 value 3114.067693
iter  30 value 3106.323901
final  value 3106.263598 
converged
tidy(m8, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Model 9: Physical and emotional abuse interaction + full m2 model

m9 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_EmoAbu_RS*WK2_CTQSF_PhyAbu_RS + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  80 (57 variable)
initial  value 2905.672981 
iter  10 value 2729.958856
iter  20 value 2564.676198
iter  30 value 2490.109282
iter  40 value 2471.353798
iter  50 value 2469.747882
iter  60 value 2469.681562
final  value 2469.678836 
converged

Model 10: Base model + Bullying

#10th model is bullying
m10 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_Bullying_Total, data = df_traj)
# weights:  40 (27 variable)
initial  value 3428.305955 
iter  10 value 3138.073451
iter  20 value 3084.400326
iter  30 value 3076.703231
final  value 3076.498579 
converged
tidy(m10, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Model 11: Base Model + Bullying + Physical Abuse + Emotional Abuse

m11 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_EmoAbu_RS + WK2_Bullying_Total + WK2_CTQSF_PhyAbu_RS , data = df)
# weights:  48 (33 variable)
initial  value 3428.305955 
iter  10 value 3108.962478
iter  20 value 3072.504450
iter  30 value 3059.099210
final  value 3057.237153 
converged
tidy(m11, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Model 12: Base Model + CTQ_Triad

m12 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Triad, data = df)
# weights:  40 (27 variable)
initial  value 3428.305955 
iter  10 value 3141.620645
iter  20 value 3075.520679
iter  30 value 3062.257889
final  value 3062.073356 
converged
tidy(m12, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

vif(m12)
Warning in vif.default(m12) : No intercept: vifs may not be sensible.
                        GVIF Df GVIF^(1/(2*Df))
ED_Age             12.129389  1        3.482727
Site_New            3.808713  2        1.396994
ED_RaceEthCode     16.418497  3        1.594247
ED_GenderBirthCert  1.749242  1        1.322589
CTQ_Triad           1.398927  1        1.182763

Model 13: M2 + CTQ_Triad

m13 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Triad + BMI + PRE_Pain_MdSv + ED_Concussion + ED_Event_BroadClass + ED_PDI_RS + ADI_NatRank, data = df)
# weights:  68 (48 variable)
initial  value 2915.377041 
iter  10 value 2748.168396
iter  20 value 2550.846915
iter  30 value 2496.762252
iter  40 value 2487.701025
iter  50 value 2487.230911
final  value 2487.224790 
converged
tidy(m13, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Model 14: M2 + CTQ*race interaction

m14 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Total + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS + CTQ_Total*ED_RaceEthCode, data = df)
# weights:  84 (60 variable)
initial  value 2905.672981 
iter  10 value 2738.781285
iter  20 value 2545.566498
iter  30 value 2491.153216
iter  40 value 2477.385899
iter  50 value 2476.228437
iter  60 value 2476.171183
final  value 2476.169885 
converged
tidy(m14, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Model 15: M2 + CTQ*Sex interaction

m15 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Total + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS + CTQ_Total*ED_GenderBirthCert, data = df)
# weights:  76 (54 variable)
initial  value 2905.672981 
iter  10 value 2740.351683
iter  20 value 2546.525161
iter  30 value 2493.081747
iter  40 value 2480.739654
iter  50 value 2479.964436
iter  60 value 2479.938816
final  value 2479.937746 
converged
tidy(m15, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Models 16-21: M2 + each CTQ subtype + bullying

#physical abuse m16
m16 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_PhyAbu_RS + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2739.152319
iter  20 value 2548.076833
iter  30 value 2486.719546
iter  40 value 2478.571787
iter  50 value 2477.992574
final  value 2477.950997 
converged
tidy(m16, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5))) 

#physical neglect m17
m17 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_PhyNeg_RS + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2746.269534
iter  20 value 2580.210494
iter  30 value 2504.715204
iter  40 value 2492.497525
iter  50 value 2491.587041
final  value 2491.509002 
converged
tidy(m17, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5))) 

#emotional abuse m18
m18 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_EmoAbu_RS + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2739.343013
iter  20 value 2549.575062
iter  30 value 2486.449855
iter  40 value 2475.071211
iter  50 value 2474.358717
final  value 2474.325475 
converged
tidy(m18, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5))) 

#emotional neglect m19
m19 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_EmoNeg_RS + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2746.115876
iter  20 value 2591.191332
iter  30 value 2503.297991
iter  40 value 2491.076542
iter  50 value 2490.377414
final  value 2490.335809 
converged
tidy(m19, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5))) 

#sexual abuse m20
m20 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_SexAbu_RS + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2742.336087
iter  20 value 2564.102062
iter  30 value 2497.718946
iter  40 value 2487.454342
iter  50 value 2486.822604
final  value 2486.781130 
converged
tidy(m20, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5))) 

#bullying m21
m21 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_Bullying_Total + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2742.146186
iter  20 value 2551.065763
iter  30 value 2488.904082
iter  40 value 2480.381656
iter  50 value 2479.548137
final  value 2479.495450 
converged
tidy(m21, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5))) 

Model 22: m1 + Sex*CTQ

m22 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Total + ED_GenderBirthCert*CTQ_Total, data = df)
# weights:  44 (30 variable)
initial  value 3428.305955 
iter  10 value 3164.934899
iter  20 value 3098.577104
iter  30 value 3077.554697
final  value 3075.998418 
converged
tidy(m22, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Model 23: m1 + Race*CTQ

m23 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Total + ED_RaceEthCode*CTQ_Total, data = df)
# weights:  52 (36 variable)
initial  value 3428.305955 
iter  10 value 3160.593618
iter  20 value 3107.986141
iter  30 value 3077.131243
iter  40 value 3073.882501
final  value 3073.873784 
converged
tidy(m23, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Model 24: m2 female only


df_fem <- df %>% filter(ED_GenderBirthCert == "Female")

m24 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + CTQ_Total + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data=df_fem)
# weights:  68 (48 variable)
initial  value 1821.590791 
iter  10 value 1748.500314
iter  20 value 1642.086592
iter  30 value 1596.954041
iter  40 value 1595.854725
iter  50 value 1595.840215
final  value 1595.840106 
converged
tidy(m24, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Model 25: m2 male only

df_male <- df %>% filter(ED_GenderBirthCert == "Male")

m25 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + CTQ_Total + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data=df_male)
# weights:  68 (48 variable)
initial  value 1084.082190 
iter  10 value 965.172766
iter  20 value 895.187858
iter  30 value 869.978395
iter  40 value 868.728905
final  value 868.722779 
converged
tidy(m25, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Models 26-31: M2 + BINARY INDICATORS

M26: M2 + PhyAbu ANY

#Model 2 but instead of physical abuse score, its a binary score of whether or not the pt had any physical abuse

m26 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + PhyAbu_Any + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2746.215465
iter  20 value 2538.670319
iter  30 value 2490.267312
iter  40 value 2481.883743
iter  50 value 2481.407674
final  value 2481.370933 
converged
tidy(m26, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))%>%
  mutate(p_adj_bh = p.adjust(p.value, method = "BH"))

Model 27: M2 + Emo_Abuse ANY

#Model 2 but instead of emotional abuse score, its a binary score of whether or not the pt had any emotional abuse

m27 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + EmoAbu_Any + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2746.545586
iter  20 value 2541.516221
iter  30 value 2489.192593
iter  40 value 2482.375221
iter  50 value 2482.194772
final  value 2482.178232 
converged
tidy(m27, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Model 28: M2 + Emo_Neglect ANY

#Model 2 but instead of emotional neglect score, its a binary score of whether or not the pt had any emotional neglect

m28 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + EmoNeg_Any + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2746.664578
iter  20 value 2558.737778
iter  30 value 2495.816626
iter  40 value 2490.341546
iter  50 value 2490.056292
final  value 2490.038111 
converged
tidy(m28, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Model 29: M2 + Phy_Neglect ANY

#Model 2 but instead of physical neglect score, its a binary score of whether or not the pt had any physical neglect

m29 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + PhyNeg_Any + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2746.702303
iter  20 value 2548.462391
iter  30 value 2494.585863
iter  40 value 2489.264715
iter  50 value 2489.000832
final  value 2488.979296 
converged
tidy(m29, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Model 30: M2 + Sexual Abuse ANY

#Model 2 but instead of sexual abuse score, its a binary score of whether or not the pt had any sexual abuse

m30 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + SexAbu_Any + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2746.380632
iter  20 value 2545.148484
iter  30 value 2492.757380
iter  40 value 2486.885581
iter  50 value 2486.521490
final  value 2486.501395 
converged
tidy(m30, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Model 31: M2 + Bullying ANY

#Model 2 but instead of bullying score, its a binary score of whether or not the pt had any bullying

m31 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + Bullying_Any + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2746.165693
iter  20 value 2562.600366
iter  30 value 2494.807104
iter  40 value 2488.444171
iter  50 value 2488.177859
final  value 2488.159649 
converged
tidy(m31, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

Model 32: Stepwise Selection

#write a model that does multinomial stepwise selection to predict pain_class from  the best features from df

#rewrite stepwise code to remove missing values

invisible(capture.output(
stepwise_selection <- stepAIC(
  multinom(Pain_Class ~ ., data = drop_na(df)),
  direction = "both",
  trace = 0)
))


# Initial features (excluding the response variable 'Pain_Class')
initial_features <- names(df)[names(df) != "Pain_Class"]
included_features <- names(coef(stepwise_selection))
excluded_features <- setdiff(initial_features, included_features)

# Print included and excluded features
cat("Included features:\n")
Included features:
print(included_features)
NULL
cat("\nExcluded features:\n")

Excluded features:
print(excluded_features)
 [1] "ED_Age"              "Site_New"            "ED_RaceEthCode"      "ED_GenderBirthCert"  "ADI_NatRank"        
 [6] "CTQ_Total"           "BMI"                 "PRE_Pain_MdSv"       "WK2_EmploymentCode"  "ED_Marital"         
[11] "ED_highestgrade"     "ED_Concussion"       "ED_Event_BroadClass" "ED_PDI_RS"           "WK2_CTQSF_PhyAbu_RS"
[16] "WK2_CTQSF_EmoAbu_RS" "WK2_CTQSF_SexAbu_RS" "WK2_CTQSF_PhyNeg_RS" "WK2_CTQSF_EmoNeg_RS" "WK2_Bullying_Total" 
[21] "CTQ_Triad"           "BulliedSimple"       "BulliedHitOrHurt"    "Bullying_Any"        "PhyAbu_Any"         
[26] "EmoAbu_Any"          "SexAbu_Any"          "PhyNeg_Any"          "EmoNeg_Any"          "CTQ_Any"            

Model 33-34 Pre-pain logistic regression

Email from Lauren 3-Aug-24

We wanted to make sure to include an analysis that closely mirrors our first animal figure (prior to SPS/TSE exposure, animals with ELA have increase pain-like behavior). I do not think we have done anything like this yet. Can you run an analysis to test whether there is a difference in PrePain rates/odds based on ELA?

I think this would either be a logistic regression using the CTQ composite and (separately) the Bullying composite, or a chi-square/z-proportion test and we could group CTQ and Bullying into high and low based on their median score (CTQ>6 and Bullying>3) or just use the “any CTQ” and “any Bullying variables”.

# Create binary variables for high/low CTQ and Bullying
df <- df %>%
  mutate(
    CTQ_HighLow = ifelse(CTQ_Total > 6, "High", "Low"),
    Bullying_HighLow = ifelse(WK2_Bullying_Total > 3, "High", "Low"))

# Create binary variable for PRE_Pain_MdSv
df$PRE_Pain_MdSv2 <- ifelse(df$PRE_Pain_MdSv == "Yes", 1, 0)

# M33 Logistic regression using CTQ composite
m33 <- glm(PRE_Pain_MdSv2 ~ CTQ_Total, data = df, family = "binomial")

tidy(m33, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric)))

# M34 Logistic regression using Bullying composite
m34 <- glm(PRE_Pain_MdSv2 ~ WK2_Bullying_Total, data = df, family = "binomial")
tidy(m34, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric)))

# Chi-square test for CTQ_HighLow
chisq.test(table(df$CTQ_HighLow, df$PRE_Pain_MdSv))

    Chi-squared test for given probabilities

data:  table(df$CTQ_HighLow, df$PRE_Pain_MdSv)
X-squared = 339.7, df = 1, p-value < 2.2e-16
# Chi-square test for Bullying_HighLow
chisq.test(table(df$Bullying_HighLow, df$PRE_Pain_MdSv))

    Chi-squared test for given probabilities

data:  table(df$Bullying_HighLow, df$PRE_Pain_MdSv)
X-squared = 339.7, df = 1, p-value < 2.2e-16
# chi-square test for any CTQ
chisq.test(table(df$CTQ_Any, df$PRE_Pain_MdSv))

    Pearson's Chi-squared test with Yates' continuity correction

data:  table(df$CTQ_Any, df$PRE_Pain_MdSv)
X-squared = 23.917, df = 1, p-value = 1.006e-06
# chi-square test for any bullying
chisq.test(table(df$Bullying_Any, df$PRE_Pain_MdSv))

    Pearson's Chi-squared test with Yates' continuity correction

data:  table(df$Bullying_Any, df$PRE_Pain_MdSv)
X-squared = 4.2373, df = 1, p-value = 0.03955

ANOVA for race x CTQ

#ANOVA on race vs CTQ
#ANOVA on ED_RaceEthCode versus CTQ

anova_result <- aov(CTQ_Total ~ ED_RaceEthCode, data = df)
summary(anova_result)
                 Df Sum Sq Mean Sq F value Pr(>F)  
ED_RaceEthCode    3      9  2.9964       3 0.0295 *
Residuals      2469   2466  0.9987                 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
7 observations deleted due to missingness
TukeyHSD(anova_result)
  Tukey multiple comparisons of means
    95% family-wise confidence level

Fit: aov(formula = CTQ_Total ~ ED_RaceEthCode, data = df)

$ED_RaceEthCode
           diff         lwr         upr     p adj
2-1 -0.20223923 -0.37873380 -0.02574466 0.0171293
3-1 -0.13103376 -0.30186661  0.03979908 0.1989380
4-1 -0.14979061 -0.46007179  0.16049057 0.6007039
3-2  0.07120547 -0.04214908  0.18456002 0.3703250
4-2  0.05244862 -0.23028766  0.33518490 0.9641946
4-3 -0.01875685 -0.29799390  0.26048020 0.9981705
#ANOVA on pain trajectory by CTQ
result <- aov(CTQ_Total ~ Pain_Class, data = df)
summary(result)
              Df Sum Sq Mean Sq F value   Pr(>F)    
Pain_Class     3   58.9  19.628   20.08 7.39e-13 ***
Residuals   2476 2420.1   0.977                     
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
TukeyHSD(result)
  Tukey multiple comparisons of means
    95% family-wise confidence level

Fit: aov(formula = CTQ_Total ~ Pain_Class, data = df)

$Pain_Class
                                 diff          lwr         upr     p adj
high-low                    0.4160161  0.259847448  0.57218467 0.0000000
moderate-low                0.2791787  0.148849047  0.40950840 0.0000002
moderate recovery-low       0.1385781 -0.002276327  0.27943254 0.0557627
moderate-high              -0.1368373 -0.308010344  0.03433567 0.1683568
moderate recovery-high     -0.2774380 -0.456754281 -0.09812162 0.0004163
moderate recovery-moderate -0.1406006 -0.297926824  0.01672559 0.0988564


Model Comparison

m1 #base model m2 #base model + additional features m12 #base model + CTQ_Triad m13 #m2 + CTQ_T

m16 #m2 + physical abuse m17 #m2 + physical neglect m18 #m2 + emotional abuse m19 #m2 + emotional neglect m20 #m2 + sexual abuse m21 #m2 + bullying

# List of all models
model_names <- paste0("m", 1:31)
models <- lapply(model_names, get)

#remove m25 from list of models
model_names2 <- model_names[-25]
models2 <- lapply(model_names2, get)



Compare AIC/BIC

# Function to get AIC and BIC
get_aic_bic <- function(model) c(AIC = AIC(model), BIC = BIC(model))

# Apply the function to all models, sort results
compared_m <- as.data.frame(t(sapply(models, get_aic_bic)))
compared_m <- cbind(model = model_names, compared_m)
compared_m <- compared_m[order(compared_m$BIC), ]

# Print the results
print(compared_m)

#m18 is m2 + emotional abuse
#m13 is m2 + triad
#m16 is m2 + physical abuse
#m21 is m2 + bullying
#m2 is our main model
#m20 is m2 + sexual abuse
#m19 is m2 + emotional neglect

Use multi-class ROC curves

Trying this with m1, base model

# Load required library
library(pROC)

# Predict probabilities for m25
probs1 <- predict(m25, df, type = "probs")

# Create one-vs-rest ROC curves
roc_list <- list()
auroc_values <- numeric(length(colnames(probs1)))  # Initialize vector for AUROC values

for (class in colnames(probs1)) {
  roc_list[[class]] <- roc(as.numeric(df$Pain_Class == class), probs1[,class])
  auroc_values[class] <- auc(roc_list[[class]])  # Calculate AUROC
}
Setting levels: control = 0, case = 1
Setting direction: controls < cases
Setting levels: control = 0, case = 1
Setting direction: controls < cases
Setting levels: control = 0, case = 1
Setting direction: controls < cases
Setting levels: control = 0, case = 1
Setting direction: controls < cases
# Plot ROC curves
plot(roc_list[[1]], main = "ROC Curves for Each Class", col = 1, lwd = 2)
for (i in 2:length(roc_list)) {
  plot(roc_list[[i]], add = TRUE, col = i, lwd = 2)
}

# Add AUROC values as text directly on the plot
# Use a fixed position or adjust as needed
text_positions <- c(0.8, 0.7, 0.6, 0.5, 0.4, 0.3)  # Adjust as necessary for your plot

for (i in 1:length(roc_list)) {
  text(x = 0.6, y = text_positions[i], 
       labels = paste0(names(roc_list)[i], ": AUROC = ", round(auroc_values[i], 3)),
       pos = 4, cex = 0.8, col = i)
}

# Add legend to the plot
legend("bottomright", legend = names(roc_list), col = 1:length(roc_list), lwd = 2, bty = "n")

Examine confusion matrix

library(caret)

# Function to compute confusion matrix with model names
get_confusion_matrix <- function(model, data, model_name) {
  predictions <- predict(model, newdata = data, type = "class")
  cm <- confusionMatrix(predictions, data$Pain_Class)
  return(list(model = model_name, confusion_matrix = cm))}

# Compute confusion matrices with model names
model_names <- c("m2", "m25")
models <- lapply(model_names, get)

conf_matrices <- mapply(get_confusion_matrix, models, MoreArgs = list(data = df), model_name = model_names, SIMPLIFY = FALSE)

# Print the confusion matrices with model names
for (cm in conf_matrices) {
  cat("Model:", cm$model, "\n")
  print(cm$confusion_matrix)
  cat("\n")}
Model: m2 
Confusion Matrix and Statistics

                   Reference
Prediction          low high moderate moderate recovery
  low               798  121      294               304
  high               27   80       58                30
  moderate           77   89      128                55
  moderate recovery   8    5        9                13

Overall Statistics
                                          
               Accuracy : 0.4862          
                 95% CI : (0.4646, 0.5078)
    No Information Rate : 0.4342          
    P-Value [Acc > NIR] : 9.46e-07        
                                          
                  Kappa : 0.1852          
                                          
 Mcnemar's Test P-Value : < 2.2e-16       

Statistics by Class:

                     Class: low Class: high Class: moderate Class: moderate recovery
Sensitivity              0.8769     0.27119         0.26176                 0.032338
Specificity              0.3938     0.93615         0.86248                 0.987013
Pos Pred Value           0.5260     0.41026         0.36676                 0.371429
Neg Pred Value           0.8066     0.88690         0.79336                 0.811257
Prevalence               0.4342     0.14074         0.23330                 0.191794
Detection Rate           0.3807     0.03817         0.06107                 0.006202
Detection Prevalence     0.7238     0.09303         0.16651                 0.016698
Balanced Accuracy        0.6353     0.60367         0.56212                 0.509676

Model: m25 
Confusion Matrix and Statistics

                   Reference
Prediction          low high moderate moderate recovery
  low               787  124      301               300
  high               34   77       60                42
  moderate           64   81      102                44
  moderate recovery  25   13       26                16

Overall Statistics
                                         
               Accuracy : 0.4685         
                 95% CI : (0.447, 0.4901)
    No Information Rate : 0.4342         
    P-Value [Acc > NIR] : 0.0008348      
                                         
                  Kappa : 0.1601         
                                         
 Mcnemar's Test P-Value : < 2.2e-16      

Statistics by Class:

                     Class: low Class: high Class: moderate Class: moderate recovery
Sensitivity              0.8648     0.26102         0.20859                 0.039801
Specificity              0.3887     0.92449         0.88239                 0.962220
Pos Pred Value           0.5205     0.36150         0.35052                 0.200000
Neg Pred Value           0.7894     0.88423         0.78560                 0.808532
Prevalence               0.4342     0.14074         0.23330                 0.191794
Detection Rate           0.3755     0.03674         0.04866                 0.007634
Detection Prevalence     0.7214     0.10162         0.13884                 0.038168
Balanced Accuracy        0.6268     0.59275         0.54549                 0.501010


Corrections testing

for m1, m2, m2 + each subtype, m2 + each subtype ANY likelihood ratio test m1 vs m2

BH Function

apply_bh_correction <- function(models, model_names) {
  correct_model <- function(model) {
    model_results <- tidy(model, exponentiate = TRUE) %>%
      filter(term != "(Intercept)") %>%
      select(y.level,term, estimate, p.value)
    
    model_results <- model_results %>%
      mutate(p_adj_bh = p.adjust(p.value, method = "BH")) %>%
      mutate(
        p.value = round(p.value, digits = 6),
        p_adj_bh = round(p_adj_bh, digits = 6)
      ) %>%
      mutate(
        p.value = format(p.value, scientific = FALSE),
        p_adj_bh = format(p_adj_bh, scientific = FALSE)
      )
    return(model_results)
  }
  
  corrected_models <- lapply(models, correct_model)
  names(corrected_models) <- model_names
  
  return(corrected_models)
}

BH Corrected M1-M2

models_list_bases <- list(m1,m2)
model_names <- c("m1", "m2")
adjusted_models <- apply_bh_correction(models_list_bases, model_names)

cat("MODEL 1 BH CORRECTED")
MODEL 1 BH CORRECTED
tidy(m1, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))  %>%
        filter(term != "(Intercept)") %>%
      select(y.level,term, estimate, p.value)%>%
      mutate(p_adj_bh = p.adjust(p.value, method = "BH"))

cat("\n \n MODEL 2 BH CORRECTED")

 
 MODEL 2 BH CORRECTED
tidy(m2, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))  %>%
        filter(term != "(Intercept)") %>%
      select(y.level,term, estimate, p.value)%>%
      mutate(p_adj_bh = p.adjust(p.value, method = "BH"))

BH Corrected M13 Triad

Within

cat("MODEL 13 BH CORRECTED")
MODEL 13 BH CORRECTED
tidy(m13, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))  %>%
        filter(term != "(Intercept)") %>%
      select(y.level,term, estimate, p.value)%>%
      mutate(p_adj_bh = p.adjust(p.value, method = "BH"))

Extract Adj p-val

#function to get adjusted p values from list of models
extract_p_values <- function(model_df, model_name) {
  model_df %>%
    mutate(model = model_name) %>%
    select(y.level, term, p.value,p_adj_bh, model)}

BH Across M16-M21

perform BH corrections on the values in combined_p_values_m16_m21

#BH corrections for models with subtypes m16-m21

#make first set of adjusted within p vals
models_list_subtypes <- list(m16, m17, m18, m19, m20, m21)
model_names2 <- c("m16", "m17", "m18", "m19", "m20", "m21")
adjusted_models2 <- apply_bh_correction(models_list_subtypes, model_names2)

combined_p_values_m16_m21 <- map2_dfr(adjusted_models2, paste0("m", 16:21), extract_p_values)

double_corrected_p_values_16_m21 <- combined_p_values_m16_m21 %>%
  mutate(p_adj_bh_2 = p.adjust(as.numeric(p_adj_bh), method = "BH")) %>%
  mutate(
    p_adj_bh_2 = round(p_adj_bh_2, digits = 6),
    p_adj_bh_2 = format(p_adj_bh_2, scientific = FALSE)  )

double_corrected_p_values_16_m21

BH Across M26-M31

#BH BETWEEN Corrections for models with binary indicators m26-m31

models_list_ANY <- list(m26, m27, m28, m29, m30, m31)
model_names3 <- c("m26", "m27", "m28", "m29", "m30", "m31")
adjusted_models3 <- apply_bh_correction(models_list_ANY, model_names3)

double_corrected_p_values_m26_m31 <- map2_dfr(adjusted_models3, paste0("m", 26:31), extract_p_values)

#perform BH corrections on the values in double_corrected_p_values_m26_m31
double_corrected_p_values_m26_m31 <- double_corrected_p_values_m26_m31 %>%
  mutate(p_adj_bh_2 = p.adjust(as.numeric(p_adj_bh), method = "BH")) %>%
  mutate(
    p_adj_bh_2 = round(p_adj_bh_2, digits = 6),
    p_adj_bh_2 = format(p_adj_bh_2, scientific = FALSE)  )

double_corrected_p_values_m26_m31

Tables for Manuscript

Table 1. General

Table 1a: Socio-demographic variables

table1a_features <- c("ED_GenderBirthCert", "ED_Age", "ED_RaceEthCode","BMI", "ADI_NatRank")

suppressMessages(suppressWarnings(
  df %>%
    select(all_of(table1a_features)) %>%
    tbl_summary(statistic = all_continuous() ~ "{mean} ({sd})", 
      digits = all_continuous() ~ 2)))
Characteristic N = 2,4801
ED_GenderBirthCert
    Female 1,554 (63%)
    Male 926 (37%)
ED_Age 36.09 (13.31)
ED_RaceEthCode
    1 278 (11%)
    2 891 (36%)
    3 1,213 (49%)
    4 91 (3.7%)
    Unknown 7
BMI 30.13 (8.32)
    Unknown 158
ADI_NatRank 63.93 (27.57)
    Unknown 80
1 n (%); Mean (SD)


Table 1b: ED/Trauma-related variable.names

table1b_features <- c("Site_New", "ED_Event_BroadClass", "ED_PDI_RS")

suppressMessages(suppressWarnings(
df %>%
    select(all_of(table1b_features)) %>%
    tbl_summary(statistic = all_continuous() ~ "{mean} ({sd})", 
      digits = all_continuous() ~ 2)))
Characteristic N = 2,4801
Site_New
    Midwest 960 (39%)
    NorthEast 1,053 (42%)
    SouthEast 467 (19%)
ED_Event_BroadClass
    MVC/Non-motor Collision 1,909 (77%)
    Other 340 (14%)
    Physical/Sexual Abuse 231 (9.3%)
ED_PDI_RS 13.92 (7.24)
    Unknown 139
1 n (%); Mean (SD)


Table 1c: Past pain/stress variables

table1c_features <- c("PRE_Pain_MdSv", "CTQ_Any","CTQ_Total","PhyAbu_Any", "WK2_CTQSF_PhyAbu_RS", "EmoAbu_Any","WK2_CTQSF_EmoAbu_RS", "SexAbu_Any", "WK2_CTQSF_SexAbu_RS", "PhyNeg_Any", "WK2_CTQSF_PhyNeg_RS", "EmoNeg_Any", "WK2_CTQSF_EmoNeg_RS", "Bullying_Any", "WK2_Bullying_Total")

# Create a named list to specify the type of each variable
type_list <- list(
  WK2_CTQSF_PhyAbu_RS = "continuous",
  WK2_CTQSF_EmoAbu_RS = "continuous",
  WK2_CTQSF_SexAbu_RS = "continuous",
  WK2_CTQSF_PhyNeg_RS = "continuous",
  WK2_CTQSF_EmoNeg_RS = "continuous",
  WK2_Bullying_Total = "continuous")

# Generate the summary table
suppressMessages(suppressWarnings(
  df %>%
    select(all_of(table1c_features)) %>%
    tbl_summary(
      statistic = all_continuous() ~ "{mean} ({sd})",
      digits = all_continuous() ~ 2,
      type = type_list)))
Characteristic N = 2,4801
PRE_Pain_MdSv 777 (31%)
    Unknown 10
CTQ_Any 1,977 (80%)
CTQ_Total 0.00 (1.00)
PhyAbu_Any 1,089 (44%)
WK2_CTQSF_PhyAbu_RS 0.00 (1.00)
EmoAbu_Any 1,627 (66%)
WK2_CTQSF_EmoAbu_RS 0.00 (1.00)
SexAbu_Any 867 (35%)
WK2_CTQSF_SexAbu_RS 0.00 (1.00)
PhyNeg_Any 1,146 (46%)
WK2_CTQSF_PhyNeg_RS 0.00 (1.00)
EmoNeg_Any 1,284 (52%)
WK2_CTQSF_EmoNeg_RS 0.00 (1.00)
Bullying_Any 1,977 (80%)
WK2_Bullying_Total 0.00 (1.00)
1 n (%); Mean (SD)


Table 1. Compared Pain Classes

table1_class_features <- c("Pain_Class","ED_GenderBirthCert", "ED_Age", "ED_RaceEthCode","BMI", "ADI_NatRank","Site_New", "ED_Event_BroadClass", "ED_PDI_RS","PRE_Pain_MdSv", "CTQ_Any","CTQ_Total","PhyAbu_Any", "WK2_CTQSF_PhyAbu_RS", "EmoAbu_Any","WK2_CTQSF_EmoAbu_RS", "SexAbu_Any", "WK2_CTQSF_SexAbu_RS", "PhyNeg_Any", "WK2_CTQSF_PhyNeg_RS", "EmoNeg_Any", "WK2_CTQSF_EmoNeg_RS", "Bullying_Any", "WK2_Bullying_Total")

# Create a named list to specify the type of each variable
type_list <- list(
  WK2_CTQSF_PhyAbu_RS = "continuous",
  WK2_CTQSF_EmoAbu_RS = "continuous",
  WK2_CTQSF_SexAbu_RS = "continuous",
  WK2_CTQSF_PhyNeg_RS = "continuous",
  WK2_CTQSF_EmoNeg_RS = "continuous",
  WK2_Bullying_Total = "continuous")

# Generate the summary table and compare across class and add p

suppressMessages(suppressWarnings(
  df %>%
    select(all_of(table1_class_features)) %>%
    tbl_summary(
      by = Pain_Class,
      statistic = all_continuous() ~ "{mean} ({sd})",
      digits = all_continuous() ~ 2,
      type = type_list) %>% add_p)) 
Characteristic low, N = 1,0701 high, N = 3521 moderate, N = 5901 moderate recovery, N = 4681 p-value2
ED_GenderBirthCert



<0.001
    Female 605 (57%) 237 (67%) 409 (69%) 303 (65%)
    Male 465 (43%) 115 (33%) 181 (31%) 165 (35%)
ED_Age 33.36 (12.52) 40.89 (13.19) 37.61 (13.12) 36.81 (14.00) <0.001
ED_RaceEthCode



<0.001
    1 122 (11%) 37 (11%) 77 (13%) 42 (9.0%)
    2 387 (36%) 93 (26%) 201 (34%) 210 (45%)
    3 521 (49%) 210 (60%) 285 (49%) 197 (42%)
    4 39 (3.6%) 12 (3.4%) 23 (3.9%) 17 (3.6%)
    Unknown 1 0 4 2
BMI 29.17 (7.95) 32.15 (9.44) 30.95 (8.28) 29.75 (7.93) <0.001
    Unknown 78 21 38 21
ADI_NatRank 62.03 (28.04) 70.74 (26.08) 66.28 (26.76) 60.04 (27.52) <0.001
    Unknown 41 8 14 17
Site_New



0.3
    Midwest 432 (40%) 139 (39%) 216 (37%) 173 (37%)
    NorthEast 441 (41%) 136 (39%) 267 (45%) 209 (45%)
    SouthEast 197 (18%) 77 (22%) 107 (18%) 86 (18%)
ED_Event_BroadClass



0.12
    MVC/Non-motor Collision 814 (76%) 268 (76%) 469 (79%) 358 (76%)
    Other 152 (14%) 40 (11%) 76 (13%) 72 (15%)
    Physical/Sexual Abuse 104 (9.7%) 44 (13%) 45 (7.6%) 38 (8.1%)
ED_PDI_RS 12.49 (7.09) 15.81 (7.33) 15.00 (7.07) 14.49 (7.13) <0.001
    Unknown 43 27 42 27
PRE_Pain_MdSv 189 (18%) 214 (61%) 251 (43%) 123 (27%) <0.001
    Unknown 2 1 3 4
CTQ_Any 805 (75%) 301 (86%) 490 (83%) 381 (81%) <0.001
CTQ_Total -0.15 (0.92) 0.26 (1.09) 0.13 (1.06) -0.01 (0.97) <0.001
PhyAbu_Any 397 (37%) 193 (55%) 298 (51%) 201 (43%) <0.001
WK2_CTQSF_PhyAbu_RS -0.14 (0.90) 0.32 (1.19) 0.13 (1.05) -0.08 (0.93) <0.001
EmoAbu_Any 623 (58%) 260 (74%) 416 (71%) 328 (70%) <0.001
WK2_CTQSF_EmoAbu_RS -0.18 (0.93) 0.32 (1.11) 0.15 (1.03) 0.00 (0.95) <0.001
SexAbu_Any 297 (28%) 148 (42%) 238 (40%) 184 (39%) <0.001
WK2_CTQSF_SexAbu_RS -0.15 (0.88) 0.21 (1.16) 0.13 (1.09) 0.02 (0.97) <0.001
PhyNeg_Any 460 (43%) 177 (50%) 297 (50%) 212 (45%) 0.012
WK2_CTQSF_PhyNeg_RS -0.03 (1.03) 0.07 (1.01) 0.04 (0.97) -0.04 (0.95) 0.028
EmoNeg_Any 525 (49%) 189 (54%) 327 (55%) 243 (52%) 0.078
WK2_CTQSF_EmoNeg_RS -0.05 (1.00) 0.06 (1.03) 0.03 (0.96) 0.03 (1.01) 0.080
Bullying_Any 814 (76%) 290 (82%) 476 (81%) 397 (85%) <0.001
WK2_Bullying_Total -0.15 (0.95) 0.28 (1.11) 0.09 (1.02) 0.04 (0.95) <0.001
1 n (%); Mean (SD)
2 Pearson’s Chi-squared test; Kruskal-Wallis rank sum test

ELA + previous pain relationship

df$PRE_Pain_MdSv <- as.factor(df$PRE_Pain_MdSv)
#df$CTQ_Any <- as.factor(df$CTQ_Any)
#df$Bullying_Any <- as.factor(df$Bullying_Any)

chisq.test(table(df$PRE_Pain_MdSv, df$Bullying_Any))

    Pearson's Chi-squared test with Yates' continuity correction

data:  table(df$PRE_Pain_MdSv, df$Bullying_Any)
X-squared = 4.2373, df = 1, p-value = 0.03955
chisq.test(table(df$PRE_Pain_MdSv, df$CTQ_Any))

    Pearson's Chi-squared test with Yates' continuity correction

data:  table(df$PRE_Pain_MdSv, df$CTQ_Any)
X-squared = 23.917, df = 1, p-value = 1.006e-06
m35 <- glm(PRE_Pain_MdSv ~ CTQ_Total, data = df, family = binomial)
tidy(m35, exponentiate = TRUE, conf.int = TRUE) 

m36 <- glm(PRE_Pain_MdSv ~ WK2_Bullying_Total, data = df, family = binomial)
tidy(m36, exponentiate = TRUE, conf.int = TRUE)


ELA + previous pain z score normalized

df$CTQ_Total_z <- scale(df$CTQ_Total)
df$WK2_Bullying_Total_z <- scale(df$WK2_Bullying_Total)

model_ctq_z <- glm(PRE_Pain_MdSv ~ CTQ_Total_z, data = df, family = "binomial")
tidy(model_ctq_z, exponentiate = TRUE, conf.int = TRUE)

model_bullying_z <- glm(PRE_Pain_MdSv ~ WK2_Bullying_Total_z, data = df, family = "binomial")
tidy(model_bullying_z, exponentiate = TRUE, conf.int = TRUE)

M37-38 Bullying TYPE and pain

Looking at specific bullying type and pain outcome

#create model that takes simple bullying as the predictor for pain class
m37 <- multinom(Pain_Class ~ BulliedSimple + ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2745.850345
iter  20 value 2613.317714
iter  30 value 2500.594126
iter  40 value 2483.908232
iter  50 value 2482.951517
final  value 2482.866891 
converged
tidy(m37, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

#create model for hit or hurt bullying
m38 <- multinom(Pain_Class ~ BulliedHitOrHurt + ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
# weights:  72 (51 variable)
initial  value 2905.672981 
iter  10 value 2744.435610
iter  20 value 2563.304999
iter  30 value 2489.681522
iter  40 value 2480.003963
iter  50 value 2479.232270
final  value 2479.171521 
converged
tidy(m38, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))                
---
title: "AURORA ELA Analysis Z TRANSFORMED"
author: "Alice"
date: "07/21/2024"
output: html_notebook
---

This document contains the code for the AURORA ELA analysis with a Z TRANSFORMATION ON ALL MODEL DATA. In this analysis, we will explore the relationship between childhood trauma (CTQ) and pain outcomes in the AURORA dataset. We will perform correlation analysis, linear models, repeated measures models, and assess the relationship between CTQ and pain outcome trajectories. This is a preliminary draft of the analysis that will be completed over the next 2 weeks.

### Set up

#### Import libraries

```{r, message=FALSE, warning=FALSE}
rm(list = ls())

libraries <- c("tidyverse", "MASS", "rstatix", "corrplot", "nlme", "sjPlot", "readxl", "nnet", "broom", "lmtest", "forcats","car", "highcharter", "ggplot2", "corrr", "ggcorrplot", "gridExtra", "skimr", "pROC", "gtsummary", "dunn.test", "tidyr", "purrr", "dplyr")

suppressMessages(suppressWarnings(
  invisible(lapply(libraries, library, character.only = TRUE))))
```

<br>

#### Import all freeze 4 datasets

*Note: For the purpose of this draft code file, Lauren has already combined all of the freeze 4 datasets into one file. This pre-combined file, called `ELA_full_data_raw.csv` below, will be used for the initial analysis. The full file import code will be rendered and applied in the final script* \vspace{-5truemm}

```{r, eval=FALSE, warning=FALSE, message=FALSE}
#Read in the dataset
data_1 <- read.csv("AURORA_full_update02102022_New.csv",check.names=F)[-1]

#freeze 4 datasets
AURORA_Freeze_4_general_mod <- read_csv("AURORA_Freeze_4_general_mod.csv",na = ".")
AURORA_Freeze_4_demogr_mod <- read_csv("AURORA_Freeze_4_demogr_mod.csv",na = ".")
AURORA_Freeze_4_pain_mod <- read_csv("AURORA_Freeze_4_pain_mod.csv",na = ".")

AURORA_Freeze_4_ctq_mod <- read_csv("AURORA_Freeze_4_ctq_mod.csv",na = ".")
AURORA_F4_CTQ_item <- readxl::read_excel("AURORA_F4_CTQ_item.xlsx")
#AURORA_Freeze_4_pdi_mod <- read_csv("AURORA_Freeze_4_pdi_mod.csv",na = ".")
SiteID <- read_excel("SiteID.xlsx")
```

```{r, eval=FALSE, warning=FALSE, message=FALSE}
FZ4_df0 <- AURORA_Freeze_4_demogr_mod %>% inner_join(AURORA_F4_CTQ_item,by="PID") %>% 
  inner_join(AURORA_Freeze_4_pain_mod,by="PID") %>% 
  inner_join(AURORA_Freeze_4_ctq_mod,by="PID") %>% 
  #inner_join(AURORA_Freeze_4_pdi_mod,by="PID") %>% 
  inner_join(SiteID,by="PID") %>% 
  mutate(Site_New = case_when(SiteID %in% c("Baystate","BMC", "Beth Israel", "BWH", "Cooper","Einstein","Jefferson","MGH","Miriam","Penn","Rhode Island","St. John","St. Joseph","Temple","UMass") ~ "NorthEast",SiteID %in% c("Baylor", "Emory ED", "Jacksonville","UAB","UNC","UT Houston","UT Southwestern","Vanderbilt") ~ "SouthEast", SiteID %in% c("39","49","Beaumont Royal Oak","Beaumont Troy","Eskenazi","Henry Ford","Cincinnati","Indiana","WashU","WashU DP") ~ "Midwest")) %>% 
  convert_as_factor(Site_New,ED_GenderBirthCert,ED_GenderNow,ED_Marital,ED_RaceEthCode,ED_highestgrade,WK2_EmploymentCode,WK2_IncomeCode) %>% 
  mutate_at(vars(contains("WK2_Childhood")),as.numeric) %>% dplyr::select(-SiteID) %>% #2682
  mutate(WK2_Bullying_Total = WK2_ChildhoodBullying+WK2_ChildhoodHitOrHurt) %>% 
  inner_join(data_1 %>% dplyr::select(PID,WK8_Pain_C,M3_Pain_C,M6_Pain_C),by="PID") %>% 
  filter(is.na(WK2_CTQSF_SexAbu_RS) == F) %>% 
  filter(is.na(WK2_CTQSF_PhyAbu_RS)== F) %>% 
  filter(is.na(WK2_CTQSF_EmoAbu_RS)== F) %>% 
  filter(is.na(WK2_CTQSF_EmoNeg_RS) == F) %>% 
  filter(is.na(WK2_CTQSF_PhyNeg_RS) == F) %>% 
  filter(is.na(WK2_Bullying_Total) == F) %>% #2483
  mutate(log_WK2_CTQSF_Total_RS = log2(WK2_CTQSF_Total_RS+1),log_ED_NowPain=log2(ED_NowPain+1))
```

<br>

Below: Read in the completed dataframe with each of the separate AURORA files. Lauren did this on her end for ease of use in this draft code analysis. Latent class trajectories also imported. 

\vspace{-5truemm}

Troubleshooting why the R environment is all fucked up and nothing works
```{r}
#install.packages("dplyr")
library(readxl)
library(dplyr)

Trauma_df <- read_excel("AURORA_Freeze_4_trauma_mod.xlsx")

# Explicitly set select to refer to dplyr::select
select <- dplyr::select
```


```{r, warning=FALSE, message=FALSE}
# Import datasets
FZ4_df <- read_csv("ELA_full_data_raw.csv")
pain_trajectory <- read_csv("pain_latent_class_4.csv")
PTSD_df <- read_excel("AURORA_Freeze_4_ptsd_mod.xlsx")
Trauma_df <- read_excel("AURORA_Freeze_4_trauma_mod.xlsx")
Injury_df <- read_excel("AURORA_Freeze_4_injury_mod.xlsx")
ADI_df <- read_excel("AURORA_Freeze_4_ses_mod.xlsx",na = ".")

# Combine datasets
df_traj <- FZ4_df %>%
  inner_join(Trauma_df %>% select(PID, ED_Event_BroadClass), by = "PID") %>%
  inner_join(Injury_df %>% select(PID, ED_Concussion), by = "PID") %>%
  inner_join(ADI_df %>% select(PID, ADI_NatRank), by = "PID") %>%
  inner_join(pain_trajectory %>% select(PID, pain_Class_MostLikely), by = "PID")
```


```{r, warning=FALSE, message=FALSE}
#export <- df_traj[,c(2,82,70)]
#write.csv(export, "ELA_full_data.csv")

#import xiady df AURORA_Construct_Score_FS_Frz4_Data.csv
df_xiaodi <- read_csv("AURORA_Construct_Score_FS_Frz4_Data.csv")

#get rid of everything but the variables that start with Pain
df_xiaodi2 <- df_xiaodi %>% select(PID, starts_with("Pain")) %>% as.data.frame()


#  bind it by PID to our data set and send me a simpler CSV that is just PID, Pain Trajectory, and Pain Scores for all the time points?

pain_scores_df <- df_traj[,c(2,82)]

#join pain_scores_df and df_xiaodi2 by PID
xiaodi_df_for_Lauren <- pain_scores_df %>% inner_join(df_xiaodi2, by = "PID") 

#write csv of xiaodi_df_for_Lauren
write.csv(xiaodi_df_for_Lauren, "xiaodi_df_for_Lauren.csv")
```

<br>

### Clean dataframe

#### Relevel and refactor features

Refactor pain trajectories and Relevel to "low pain" as the reference group
```{r}
df_traj <- df_traj %>%
  rename(Pain_Class = pain_Class_MostLikely)

df_traj <- df_traj %>%
  mutate(Pain_Class = case_when(
    Pain_Class == "Class 1" ~ "moderate recovery",
    Pain_Class == "Class 2" ~ "moderate",
    Pain_Class == "Class 3" ~ "low",
    Pain_Class == "Class 4" ~ "high",
    TRUE ~ as.character(Pain_Class)  # This handles any unexpected values
  )) %>%
  mutate(Pain_Class = factor(Pain_Class)) %>%
  mutate(Pain_Class = relevel(Pain_Class, ref = "low"))
```

Factorize and rename categorical variables
```{r}
factor_vars <- c("ED_GenderBirthCert", "ED_Event_BroadClass", "ED_Marital", 
                 "WK2_EmploymentCode", "ED_highestgrade", "ED_RaceEthCode", "PRE_Pain_MdSv")
df_traj[factor_vars] <- lapply(df_traj[factor_vars], as.factor)

#in gender, change 1 to male and 2 to female
df_traj$ED_GenderBirthCert <- ifelse(df_traj$ED_GenderBirthCert == 1, "Male", "Female")

#in pre pain, change 1 to yes and 0 to no .. is this correct?
df_traj$PRE_Pain_MdSv <- ifelse(df_traj$PRE_Pain_MdSv == 1, "Yes", "No")

# Convert continuous variables to numeric
df_traj$ED_PDI_RS <- as.numeric(df_traj$ED_PDI_RS)
df_traj$ED_Concussion <- as.numeric(df_traj$ED_Concussion)

#rename WK2 CTQ total column to CTQ_Total
df_traj <- df_traj %>%
  rename(CTQ_Total = WK2_CTQSF_Total_RS)
```

general clean up, renaming, removing negatives
```{r}
#Make any value less than 0 in the bullying total == NA
df_traj$WK2_Bullying_Total <- ifelse(df_traj$WK2_Bullying_Total < 0, NA, df_traj$WK2_Bullying_Total)

#Make any value less than 0 in ADI == NA
df_traj$ADI_NatRank <- ifelse(df_traj$ADI_NatRank < 0, NA, df_traj$ADI_NatRank)
```
<br>

```{r, warning=FALSE, message=FALSE}
#3 bullying rows have negative numbers

#remove the rows in WK2_Bullying_Total that contain negative values


df_traj <- df_traj %>% filter(WK2_Bullying_Total >= 0)
```

relevel categories for trauma type
```{r}
df_traj <- df_traj %>%
  mutate(ED_Event_BroadClass = case_when(
    ED_Event_BroadClass == "1" ~ "MVC/Non-motor Collision",
    ED_Event_BroadClass == "6" ~ "MVC/Non-motor Collision",
    ED_Event_BroadClass == "2" ~ "Physical/Sexual Abuse",
    ED_Event_BroadClass == "3" ~ "Physical/Sexual Abuse",
    ED_Event_BroadClass == "4" ~ "Other",
    ED_Event_BroadClass == "5" ~ "Other",
    ED_Event_BroadClass == "7" ~ "Other",
    ED_Event_BroadClass == "8" ~ "Other",
    ED_Event_BroadClass == "9" ~ "Other",
    ED_Event_BroadClass == "10" ~ "Other",
    ED_Event_BroadClass == "11" ~ "Other",
    TRUE ~ as.character(ED_Event_BroadClass)  # Keeps any other values unchanged
  ))

# Convert ED_Event broad class to factor
df_traj$ED_Event_BroadClass <- factor(df_traj$ED_Event_BroadClass)

table(df_traj$ED_Event_BroadClass)
```

<br>

Relevel categories for education

```{r}
#relevel education category
# 1- did not finish HS (codes 0-12) 2- HS grad + some college (codes 13-15) 3- college grad (Bachelors or Associates) (codes 16-18) 4- post grad codes(19-21)
df_traj <- df_traj %>%
  mutate(ED_highestgrade = case_when(
    ED_highestgrade == "0" ~ "Did not finish HS",
    ED_highestgrade == "1" ~ "Did not finish HS",
    ED_highestgrade == "7" ~ "Did not finish HS",
    ED_highestgrade == "8" ~ "Did not finish HS",
    ED_highestgrade == "9" ~ "Did not finish HS",
    ED_highestgrade == "10" ~ "Did not finish HS",
    ED_highestgrade == "11" ~ "Did not finish HS",
    ED_highestgrade == "12" ~ "Did not finish HS",
    ED_highestgrade == "13" ~ "HS Grad/Some College",
    ED_highestgrade == "14" ~ "HS Grad/Some College",
    ED_highestgrade == "15" ~ "HS Grad/Some College",
    ED_highestgrade == "16" ~ "Bach or Assoc degree",
    ED_highestgrade == "17" ~ "Bach or Assoc degree",
    ED_highestgrade == "18" ~ "Bach or Assoc degree",
    ED_highestgrade == "19" ~ "Post-graduate education",
    ED_highestgrade == "20" ~ "Post-graduate education",
    ED_highestgrade == "21" ~ "Post-graduate education",
    ED_highestgrade == "-7" ~ NA,
    ED_highestgrade == "-5" ~ NA,
    TRUE ~ as.character(ED_highestgrade)  # Keeps any other values unchanged
  ))

# Convert to factor
df_traj$ED_highestgrade <- factor(df_traj$ED_highestgrade)

table(df_traj$ED_highestgrade)
```

<br>

Re-level marriage category

```{r}
#relevel marrital status category
#marital status 1-married 2-separated 3-divorced 4-annulled 5-widowed 6-single
#4. marriage - combine 2+3+4+5 as a single category

df_traj <- df_traj %>%
  mutate(ED_Marital = case_when(
    ED_Marital == "1" ~ "Married",
    ED_Marital == "2" ~ "Divorced/Widowed",
    ED_Marital == "3" ~ "Divorced/Widowed",
    ED_Marital == "4" ~ "Divorced/Widowed",
    ED_Marital == "5" ~ "Divorced/Widowed",
    ED_Marital == "6" ~ "Single",
    TRUE ~ as.character(ED_Marital)  # Keeps any other values unchanged
  ))

# Convert to factor
df_traj$ED_Marital <- factor(df_traj$ED_Marital)

table(df_traj$ED_Marital)
```

<br>

#### Subset to final df for analysis

Subset df_traj to our final df that will be used for model analysis, keep only the features needed.
```{r}
df <- df_traj %>%
  select(PID, Pain_Class,ED_Age, Site_New, ED_RaceEthCode, ED_GenderBirthCert, ADI_NatRank, CTQ_Total, 
         BMI, PRE_Pain_MdSv, WK2_EmploymentCode, ED_Marital, ED_highestgrade, 
         ED_Concussion, ED_Event_BroadClass, ED_PDI_RS, WK2_CTQSF_PhyAbu_RS, WK2_CTQSF_EmoAbu_RS, WK2_CTQSF_SexAbu_RS, WK2_CTQSF_PhyNeg_RS, WK2_CTQSF_EmoNeg_RS, WK2_Bullying_Total)
```

<br>

Add the CTQ triad score that is a combination of bullying, physical abuse, and emotional abuse scores. Sarah requested to examine the two different types of bullying questions
```{r}
#add combination CTQ score
df$CTQ_Triad <- df$WK2_Bullying_Total + df$WK2_CTQSF_PhyAbu_RS + df$WK2_CTQSF_EmoAbu_RS

#print the rows that have NA in the CTQ triad
df %>% filter(is.na(CTQ_Triad))
#Confirms that for the CTQ triad, if any of the additive features contain NA, then the final score is NA

# Add the two different types of bullying question
df <- df %>%
  left_join(FZ4_df %>% select(PID, BulliedSimple = 20, BulliedHitOrHurt = 21), by = "PID")

#remove first column PID
df <- df %>% select(-PID)
```


```{r}
#make all of df[,c(2,6:8)]) numeric
df[,c(2,6:8)] <- lapply(df[,c(2,6:8)], as.numeric)
```

<br>


Binary scores for later models
```{r}
df$Bullying_Any <- ifelse(df$WK2_Bullying_Total > 0, 1, 0)
df$PhyAbu_Any <- ifelse(df$WK2_CTQSF_PhyAbu_RS > 0, 1, 0)
df$EmoAbu_Any <- ifelse(df$WK2_CTQSF_EmoAbu_RS > 0, 1, 0)
df$SexAbu_Any <- ifelse(df$WK2_CTQSF_SexAbu_RS > 0, 1, 0)
df$PhyNeg_Any <- ifelse(df$WK2_CTQSF_PhyNeg_RS > 0, 1, 0)
df$EmoNeg_Any <- ifelse(df$WK2_CTQSF_EmoNeg_RS > 0, 1, 0)
df$CTQ_Any <- ifelse(df$CTQ_Total > 0, 1, 0)
```

<br>

#### Z-transform scaling

Z-scaling is a method of standardizing the data so that it has a mean of 0 and a standard deviation of 1. This is done to make the data more interpretable and to ensure that the variables are on the same scale. the `scale` function works by subtracting the mean of the data from each value and then dividing by the standard deviation. This is done for each column in the data frame. 

```{r}
#scale
df[, c(7, 16:22)] <- scale(df[, c(7, 16:22)])
df[, c(7, 16:22)] <- lapply(df[, c(7, 16:22)], function(x) as.numeric(scale(x)))
#str(df)

summary(df)
```


<br>

<br>



<br>


### Models

#### Model 1: Base Model

Main multi-nominal regression model with CTQ as a predictor variable, including our standard covariates (same in linear models), and latent pain trajectories as the dependent variables. Model 2 is this with extra features. extract marginal means from base model for making graphs

```{r}
#pain trajectory ~ age + sex + race + site + CTQ
m1 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Total, data = df)

#view output
tidy(m1, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5))) 
#examine variance inflation factor to assess collinearity
vif(m1)
```

Variance Inflation Factor (VIF) is used to detect multicollinearity. VIF \> 10: Indicates high multicollinearity that might be problematic. VIF between 5 and 10: Moderate multicollinearity that might need addressing. VIF \< 5: Generally considered acceptable.

<br>


#### Model 2: Additional Features

```{r}
m2 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Total + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)

tidy(m2, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

vif(m2)
```


#### Model 3: Sex*CTQ interaction

```{r}
#3rd model is same as M2 but with sex*CTQ interaction
m3 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Total + BMI + PRE_Pain_MdSv + ED_Concussion + ED_PDI_RS + ED_GenderBirthCert*CTQ_Total, data = df_traj)

tidy(m3, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

#### Models 4-8: CTQ subtypes

```{r}
#4th model is same as m0 but only week 2 emotional abuse scale
m4 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_EmoAbu_RS, data = df_traj)

tidy(m4, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

```{r}
#5th model is physical abuse
m5 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_PhyAbu_RS, data = df_traj)

tidy(m5, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))%>% 
  filter(term == "CTQ_Total")

#physical abuse*sex interaction term added
m5b <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_PhyAbu_RS + WK2_CTQSF_PhyAbu_RS*ED_GenderBirthCert, data = df_traj)

tidy(m5b, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

```{r}
#6th model is sexual abuse
m6 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_SexAbu_RS, data = df_traj)

tidy(m6, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

```{r}
#7th model is emotional neglect
m7 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_EmoNeg_RS, data = df_traj)

tidy(m7, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

```{r}
#8th model is physical neglect
m8 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_PhyNeg_RS, data = df_traj)

tidy(m8, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

#### Model 9: Physical and emotional abuse interaction  + full m2 model
```{r}
m9 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_EmoAbu_RS*WK2_CTQSF_PhyAbu_RS + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
```


#### Model 10: Base model + Bullying

```{r}
#10th model is bullying
m10 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_Bullying_Total, data = df_traj)

tidy(m10, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

#### Model 11: Base Model + Bullying + Physical Abuse + Emotional Abuse

```{r}
m11 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_EmoAbu_RS + WK2_Bullying_Total + WK2_CTQSF_PhyAbu_RS , data = df)

tidy(m11, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

#### Model 12: Base Model + CTQ_Triad

```{r}
m12 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Triad, data = df)

tidy(m12, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

vif(m12)
```

#### Model 13: M2 + CTQ_Triad

```{r}
m13 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Triad + BMI + PRE_Pain_MdSv + ED_Concussion + ED_Event_BroadClass + ED_PDI_RS + ADI_NatRank, data = df)

tidy(m13, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

#### Model 14: M2 + CTQ*race interaction

```{r}
m14 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Total + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS + CTQ_Total*ED_RaceEthCode, data = df)

tidy(m14, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

#### Model 15: M2 + CTQ*Sex interaction

```{r}
m15 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Total + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS + CTQ_Total*ED_GenderBirthCert, data = df)

tidy(m15, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

#### Models 16-21: M2 + each CTQ subtype + bullying

```{r}
#physical abuse m16
m16 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_PhyAbu_RS + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
tidy(m16, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5))) 

#physical neglect m17
m17 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_PhyNeg_RS + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
tidy(m17, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5))) 

#emotional abuse m18
m18 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_EmoAbu_RS + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
tidy(m18, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5))) 

#emotional neglect m19
m19 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_EmoNeg_RS + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
tidy(m19, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5))) 

#sexual abuse m20
m20 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_CTQSF_SexAbu_RS + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
tidy(m20, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5))) 

#bullying m21
m21 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + WK2_Bullying_Total + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)
tidy(m21, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5))) 
```

#### Model 22: m1 + Sex*CTQ
```{r}
m22 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Total + ED_GenderBirthCert*CTQ_Total, data = df)

tidy(m22, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

#### Model 23: m1 + Race*CTQ
```{r}
m23 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + CTQ_Total + ED_RaceEthCode*CTQ_Total, data = df)

tidy(m23, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

#### Model 24: m2 female only
```{r}

df_fem <- df %>% filter(ED_GenderBirthCert == "Female")

m24 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + CTQ_Total + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data=df_fem)

tidy(m24, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

#### Model 25: m2 male only
```{r}
df_male <- df %>% filter(ED_GenderBirthCert == "Male")

m25 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + CTQ_Total + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data=df_male)

tidy(m25, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

#### Models 26-31: M2 + BINARY INDICATORS




#### M26: M2 + PhyAbu ANY

```{r}
#Model 2 but instead of physical abuse score, its a binary score of whether or not the pt had any physical abuse

m26 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + PhyAbu_Any + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)

tidy(m26, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))%>%
  mutate(p_adj_bh = p.adjust(p.value, method = "BH"))
```

Model 27: M2 + Emo_Abuse ANY
```{r}
#Model 2 but instead of emotional abuse score, its a binary score of whether or not the pt had any emotional abuse

m27 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + EmoAbu_Any + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)

tidy(m27, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

Model 28: M2 + Emo_Neglect ANY
```{r}
#Model 2 but instead of emotional neglect score, its a binary score of whether or not the pt had any emotional neglect

m28 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + EmoNeg_Any + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)

tidy(m28, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

Model 29: M2 + Phy_Neglect ANY
```{r}
#Model 2 but instead of physical neglect score, its a binary score of whether or not the pt had any physical neglect

m29 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + PhyNeg_Any + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)

tidy(m29, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

Model 30: M2 + Sexual Abuse ANY
```{r}
#Model 2 but instead of sexual abuse score, its a binary score of whether or not the pt had any sexual abuse

m30 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + SexAbu_Any + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)

tidy(m30, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

#### Model 31: M2 + Bullying ANY
```{r}
#Model 2 but instead of bullying score, its a binary score of whether or not the pt had any bullying

m31 <- multinom(Pain_Class ~ ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + Bullying_Any + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)

tidy(m31, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))
```

#### Model 32: Stepwise Selection
```{r}
#write a model that does multinomial stepwise selection to predict pain_class from  the best features from df

#rewrite stepwise code to remove missing values

invisible(capture.output(
stepwise_selection <- stepAIC(
  multinom(Pain_Class ~ ., data = drop_na(df)),
  direction = "both",
  trace = 0)
))


# Initial features (excluding the response variable 'Pain_Class')
initial_features <- names(df)[names(df) != "Pain_Class"]
included_features <- names(coef(stepwise_selection))
excluded_features <- setdiff(initial_features, included_features)

# Print included and excluded features
cat("Included features:\n")
print(included_features)

cat("\nExcluded features:\n")
print(excluded_features)
```

#### Model 33-34 Pre-pain logistic regression
#### Email from Lauren 3-Aug-24
We wanted to make sure to include an analysis that closely mirrors our first animal figure (prior to SPS/TSE exposure, animals with ELA have increase pain-like behavior). I do not think we have done anything like this yet. Can you run an analysis to test whether there is a difference in PrePain rates/odds based on ELA?
 
I think this would either be a logistic regression using the CTQ composite and (separately) the Bullying composite, or a chi-square/z-proportion test and we could group CTQ and Bullying into high and low based on their median score (CTQ>6 and Bullying>3) or just use the “any CTQ” and “any Bullying variables”. 
```{r}
# Create binary variables for high/low CTQ and Bullying
df <- df %>%
  mutate(
    CTQ_HighLow = ifelse(CTQ_Total > 6, "High", "Low"),
    Bullying_HighLow = ifelse(WK2_Bullying_Total > 3, "High", "Low"))

# Create binary variable for PRE_Pain_MdSv
df$PRE_Pain_MdSv2 <- ifelse(df$PRE_Pain_MdSv == "Yes", 1, 0)

# M33 Logistic regression using CTQ composite
m33 <- glm(PRE_Pain_MdSv2 ~ CTQ_Total, data = df, family = "binomial")

tidy(m33, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric)))

# M34 Logistic regression using Bullying composite
m34 <- glm(PRE_Pain_MdSv2 ~ WK2_Bullying_Total, data = df, family = "binomial")
tidy(m34, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric)))

# Chi-square test for CTQ_HighLow
chisq.test(table(df$CTQ_HighLow, df$PRE_Pain_MdSv))

# Chi-square test for Bullying_HighLow
chisq.test(table(df$Bullying_HighLow, df$PRE_Pain_MdSv))

# chi-square test for any CTQ
chisq.test(table(df$CTQ_Any, df$PRE_Pain_MdSv))

# chi-square test for any bullying
chisq.test(table(df$Bullying_Any, df$PRE_Pain_MdSv))
```


### ANOVA for race x CTQ

```{r}
#ANOVA on race vs CTQ
#ANOVA on ED_RaceEthCode versus CTQ

anova_result <- aov(CTQ_Total ~ ED_RaceEthCode, data = df)
summary(anova_result)
TukeyHSD(anova_result)
```

```{r}
#ANOVA on pain trajectory by CTQ
result <- aov(CTQ_Total ~ Pain_Class, data = df)
summary(result)
TukeyHSD(result)
```

<br>

### Model Comparison

m1 #base model m2 #base model + additional features m12 #base model + CTQ_Triad m13 #m2 + CTQ_T

m16 #m2 + physical abuse m17 #m2 + physical neglect m18 #m2 + emotional abuse m19 #m2 + emotional neglect m20 #m2 + sexual abuse m21 #m2 + bullying

```{r}
# List of all models
model_names <- paste0("m", 1:31)
models <- lapply(model_names, get)

#remove m25 from list of models
model_names2 <- model_names[-25]
models2 <- lapply(model_names2, get)
```

<br>



<br>

#### Compare AIC/BIC

```{r}
# Function to get AIC and BIC
get_aic_bic <- function(model) c(AIC = AIC(model), BIC = BIC(model))

# Apply the function to all models, sort results
compared_m <- as.data.frame(t(sapply(models, get_aic_bic)))
compared_m <- cbind(model = model_names, compared_m)
compared_m <- compared_m[order(compared_m$BIC), ]

# Print the results
print(compared_m)

#m18 is m2 + emotional abuse
#m13 is m2 + triad
#m16 is m2 + physical abuse
#m21 is m2 + bullying
#m2 is our main model
#m20 is m2 + sexual abuse
#m19 is m2 + emotional neglect
```

#### Use multi-class ROC curves

Trying this with m1, base model

```{r, message=FALSE, warning=FALSE}
# Load required library
library(pROC)

# Predict probabilities for m25
probs1 <- predict(m25, df, type = "probs")

# Create one-vs-rest ROC curves
roc_list <- list()
auroc_values <- numeric(length(colnames(probs1)))  # Initialize vector for AUROC values

for (class in colnames(probs1)) {
  roc_list[[class]] <- roc(as.numeric(df$Pain_Class == class), probs1[,class])
  auroc_values[class] <- auc(roc_list[[class]])  # Calculate AUROC
}

# Plot ROC curves
plot(roc_list[[1]], main = "ROC Curves for Each Class", col = 1, lwd = 2)
for (i in 2:length(roc_list)) {
  plot(roc_list[[i]], add = TRUE, col = i, lwd = 2)
}

# Add AUROC values as text directly on the plot
# Use a fixed position or adjust as needed
text_positions <- c(0.8, 0.7, 0.6, 0.5, 0.4, 0.3)  # Adjust as necessary for your plot

for (i in 1:length(roc_list)) {
  text(x = 0.6, y = text_positions[i], 
       labels = paste0(names(roc_list)[i], ": AUROC = ", round(auroc_values[i], 3)),
       pos = 4, cex = 0.8, col = i)
}

# Add legend to the plot
legend("bottomright", legend = names(roc_list), col = 1:length(roc_list), lwd = 2, bty = "n")
```


#### Examine confusion matrix

```{r}
library(caret)

# Function to compute confusion matrix with model names
get_confusion_matrix <- function(model, data, model_name) {
  predictions <- predict(model, newdata = data, type = "class")
  cm <- confusionMatrix(predictions, data$Pain_Class)
  return(list(model = model_name, confusion_matrix = cm))}

# Compute confusion matrices with model names
model_names <- c("m2", "m25")
models <- lapply(model_names, get)

conf_matrices <- mapply(get_confusion_matrix, models, MoreArgs = list(data = df), model_name = model_names, SIMPLIFY = FALSE)

# Print the confusion matrices with model names
for (cm in conf_matrices) {
  cat("Model:", cm$model, "\n")
  print(cm$confusion_matrix)
  cat("\n")}
```
<br>

### Corrections testing
 for m1, m2, m2 + each subtype, m2 + each subtype ANY 
likelihood ratio test m1 vs m2

#### BH Function
```{r}
apply_bh_correction <- function(models, model_names) {
  correct_model <- function(model) {
    model_results <- tidy(model, exponentiate = TRUE) %>%
      filter(term != "(Intercept)") %>%
      select(y.level,term, estimate, p.value)
    
    model_results <- model_results %>%
      mutate(p_adj_bh = p.adjust(p.value, method = "BH")) %>%
      mutate(
        p.value = round(p.value, digits = 6),
        p_adj_bh = round(p_adj_bh, digits = 6)
      ) %>%
      mutate(
        p.value = format(p.value, scientific = FALSE),
        p_adj_bh = format(p_adj_bh, scientific = FALSE)
      )
    return(model_results)
  }
  
  corrected_models <- lapply(models, correct_model)
  names(corrected_models) <- model_names
  
  return(corrected_models)
}
```

#### BH Corrected M1-M2

```{r}
models_list_bases <- list(m1,m2)
model_names <- c("m1", "m2")
adjusted_models <- apply_bh_correction(models_list_bases, model_names)

cat("MODEL 1 BH CORRECTED")
tidy(m1, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))  %>%
        filter(term != "(Intercept)") %>%
      select(y.level,term, estimate, p.value)%>%
      mutate(p_adj_bh = p.adjust(p.value, method = "BH"))

cat("\n \n MODEL 2 BH CORRECTED")

tidy(m2, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))  %>%
        filter(term != "(Intercept)") %>%
      select(y.level,term, estimate, p.value)%>%
      mutate(p_adj_bh = p.adjust(p.value, method = "BH"))
```

#### BH Corrected M13 Triad
Within
```{r}
cat("MODEL 13 BH CORRECTED")
tidy(m13, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))  %>%
        filter(term != "(Intercept)") %>%
      select(y.level,term, estimate, p.value)%>%
      mutate(p_adj_bh = p.adjust(p.value, method = "BH"))
```


#### Extract Adj p-val
```{r}
#function to get adjusted p values from list of models
extract_p_values <- function(model_df, model_name) {
  model_df %>%
    mutate(model = model_name) %>%
    select(y.level, term, p.value,p_adj_bh, model)}
```


#### BH Across M16-M21

perform BH corrections on the values in combined_p_values_m16_m21
```{r}
#BH corrections for models with subtypes m16-m21

#make first set of adjusted within p vals
models_list_subtypes <- list(m16, m17, m18, m19, m20, m21)
model_names2 <- c("m16", "m17", "m18", "m19", "m20", "m21")
adjusted_models2 <- apply_bh_correction(models_list_subtypes, model_names2)

combined_p_values_m16_m21 <- map2_dfr(adjusted_models2, paste0("m", 16:21), extract_p_values)

double_corrected_p_values_16_m21 <- combined_p_values_m16_m21 %>%
  mutate(p_adj_bh_2 = p.adjust(as.numeric(p_adj_bh), method = "BH")) %>%
  mutate(
    p_adj_bh_2 = round(p_adj_bh_2, digits = 6),
    p_adj_bh_2 = format(p_adj_bh_2, scientific = FALSE)  )

double_corrected_p_values_16_m21
```

#### BH Across M26-M31

```{r}
#BH BETWEEN Corrections for models with binary indicators m26-m31

models_list_ANY <- list(m26, m27, m28, m29, m30, m31)
model_names3 <- c("m26", "m27", "m28", "m29", "m30", "m31")
adjusted_models3 <- apply_bh_correction(models_list_ANY, model_names3)

double_corrected_p_values_m26_m31 <- map2_dfr(adjusted_models3, paste0("m", 26:31), extract_p_values)

#perform BH corrections on the values in double_corrected_p_values_m26_m31
double_corrected_p_values_m26_m31 <- double_corrected_p_values_m26_m31 %>%
  mutate(p_adj_bh_2 = p.adjust(as.numeric(p_adj_bh), method = "BH")) %>%
  mutate(
    p_adj_bh_2 = round(p_adj_bh_2, digits = 6),
    p_adj_bh_2 = format(p_adj_bh_2, scientific = FALSE)  )

double_corrected_p_values_m26_m31
```




### Tables for Manuscript

#### Table 1. General

Table 1a: Socio-demographic variables
```{r}
table1a_features <- c("ED_GenderBirthCert", "ED_Age", "ED_RaceEthCode","BMI", "ADI_NatRank")

suppressMessages(suppressWarnings(
  df %>%
    select(all_of(table1a_features)) %>%
    tbl_summary(statistic = all_continuous() ~ "{mean} ({sd})", 
      digits = all_continuous() ~ 2)))
```

<br>


Table 1b: ED/Trauma-related variable.names
```{r}
table1b_features <- c("Site_New", "ED_Event_BroadClass", "ED_PDI_RS")

suppressMessages(suppressWarnings(
df %>%
    select(all_of(table1b_features)) %>%
    tbl_summary(statistic = all_continuous() ~ "{mean} ({sd})", 
      digits = all_continuous() ~ 2)))
```

<br>

Table 1c: Past pain/stress variables
```{r}
table1c_features <- c("PRE_Pain_MdSv", "CTQ_Any","CTQ_Total","PhyAbu_Any", "WK2_CTQSF_PhyAbu_RS", "EmoAbu_Any","WK2_CTQSF_EmoAbu_RS", "SexAbu_Any", "WK2_CTQSF_SexAbu_RS", "PhyNeg_Any", "WK2_CTQSF_PhyNeg_RS", "EmoNeg_Any", "WK2_CTQSF_EmoNeg_RS", "Bullying_Any", "WK2_Bullying_Total")

# Create a named list to specify the type of each variable
type_list <- list(
  WK2_CTQSF_PhyAbu_RS = "continuous",
  WK2_CTQSF_EmoAbu_RS = "continuous",
  WK2_CTQSF_SexAbu_RS = "continuous",
  WK2_CTQSF_PhyNeg_RS = "continuous",
  WK2_CTQSF_EmoNeg_RS = "continuous",
  WK2_Bullying_Total = "continuous")

# Generate the summary table
suppressMessages(suppressWarnings(
  df %>%
    select(all_of(table1c_features)) %>%
    tbl_summary(
      statistic = all_continuous() ~ "{mean} ({sd})",
      digits = all_continuous() ~ 2,
      type = type_list)))
```

<br>

#### Table 1. Compared Pain Classes

```{r}
table1_class_features <- c("Pain_Class","ED_GenderBirthCert", "ED_Age", "ED_RaceEthCode","BMI", "ADI_NatRank","Site_New", "ED_Event_BroadClass", "ED_PDI_RS","PRE_Pain_MdSv", "CTQ_Any","CTQ_Total","PhyAbu_Any", "WK2_CTQSF_PhyAbu_RS", "EmoAbu_Any","WK2_CTQSF_EmoAbu_RS", "SexAbu_Any", "WK2_CTQSF_SexAbu_RS", "PhyNeg_Any", "WK2_CTQSF_PhyNeg_RS", "EmoNeg_Any", "WK2_CTQSF_EmoNeg_RS", "Bullying_Any", "WK2_Bullying_Total")

# Create a named list to specify the type of each variable
type_list <- list(
  WK2_CTQSF_PhyAbu_RS = "continuous",
  WK2_CTQSF_EmoAbu_RS = "continuous",
  WK2_CTQSF_SexAbu_RS = "continuous",
  WK2_CTQSF_PhyNeg_RS = "continuous",
  WK2_CTQSF_EmoNeg_RS = "continuous",
  WK2_Bullying_Total = "continuous")

# Generate the summary table and compare across class and add p

suppressMessages(suppressWarnings(
  df %>%
    select(all_of(table1_class_features)) %>%
    tbl_summary(
      by = Pain_Class,
      statistic = all_continuous() ~ "{mean} ({sd})",
      digits = all_continuous() ~ 2,
      type = type_list) %>% add_p)) 
```





#### ELA + previous pain relationship
```{r}
df$PRE_Pain_MdSv <- as.factor(df$PRE_Pain_MdSv)
#df$CTQ_Any <- as.factor(df$CTQ_Any)
#df$Bullying_Any <- as.factor(df$Bullying_Any)

chisq.test(table(df$PRE_Pain_MdSv, df$Bullying_Any))
chisq.test(table(df$PRE_Pain_MdSv, df$CTQ_Any))

m35 <- glm(PRE_Pain_MdSv ~ CTQ_Total, data = df, family = binomial)
tidy(m35, exponentiate = TRUE, conf.int = TRUE) 

m36 <- glm(PRE_Pain_MdSv ~ WK2_Bullying_Total, data = df, family = binomial)
tidy(m36, exponentiate = TRUE, conf.int = TRUE)
```

<br>

ELA + previous pain z score normalized

```{r}
df$CTQ_Total_z <- scale(df$CTQ_Total)
df$WK2_Bullying_Total_z <- scale(df$WK2_Bullying_Total)

model_ctq_z <- glm(PRE_Pain_MdSv ~ CTQ_Total_z, data = df, family = "binomial")
tidy(model_ctq_z, exponentiate = TRUE, conf.int = TRUE)

model_bullying_z <- glm(PRE_Pain_MdSv ~ WK2_Bullying_Total_z, data = df, family = "binomial")
tidy(model_bullying_z, exponentiate = TRUE, conf.int = TRUE)
```


#### M37-38 Bullying TYPE and pain

Looking at specific bullying type and pain outcome
```{r}
#create model that takes simple bullying as the predictor for pain class
m37 <- multinom(Pain_Class ~ BulliedSimple + ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)

tidy(m37, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))

#create model for hit or hurt bullying
m38 <- multinom(Pain_Class ~ BulliedHitOrHurt + ED_Age + Site_New + ED_RaceEthCode + ED_GenderBirthCert + BMI + PRE_Pain_MdSv + ED_Marital + ADI_NatRank + ED_Event_BroadClass + ED_PDI_RS, data = df)

tidy(m38, exponentiate = TRUE, conf.int = TRUE) %>%
  mutate(across(where(is.numeric), ~ round(., 5)))                
```