From 26b3ce9b17c97e212baa61ad81700a622f0df09c Mon Sep 17 00:00:00 2001 From: Will King Date: Sat, 11 Jan 2025 05:09:33 +0000 Subject: [PATCH] Updated analysis graphs and interpretation. Also renamed some images to match what they represent. The new .png files are from that. The renamed ones are from running the analysis earlier. --- r-analysis/EffectsOfEnrollmentDelay.qmd | 223 +++- r-analysis/EffectsOfEnrollmentDelay.rmarkdown | 983 ++++++++++++++++++ .../default_p_generic_intervention_base.png | Bin 80439 -> 76976 bytes ...efault_p_generic_intervention_distdiff.png | Bin 95070 -> 87274 bytes .../default_p_generic_intervention_interv.png | Bin 81148 -> 74351 bytes ...delay_intervention_cumulative_distdiff.png | Bin 0 -> 72605 bytes ...p_delay_intervention_distdiff_by_group.png | Bin 0 -> 186997 bytes .../p_delay_intervention_distdiff_styled.png | Bin 0 -> 83429 bytes .../p_delay_intervention_histdiff_boxplot.png | Bin 0 -> 75094 bytes ...p_delay_intervention_histdiff_by_group.png | Bin 0 -> 151052 bytes ...generic_intervention_distdiff_by_group.png | Bin 177323 -> 198375 bytes ...p_generic_intervention_distdiff_styled.png | Bin 98787 -> 81777 bytes ...generic_intervention_histdiff_by_group.png | Bin 131059 -> 150597 bytes .../Images/DirectEffects/posterior_p.png | Bin 77779 -> 68926 bytes .../Images/DirectEffects/prior_mu.png | Bin 83111 -> 82929 bytes .../Images/DirectEffects/prior_p.png | Bin 75365 -> 75458 bytes .../Images/DirectEffects/prior_sigma.png | Bin 86612 -> 86442 bytes 17 files changed, 1168 insertions(+), 38 deletions(-) create mode 100644 r-analysis/EffectsOfEnrollmentDelay.rmarkdown create mode 100644 r-analysis/EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_cumulative_distdiff.png create mode 100644 r-analysis/EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_distdiff_by_group.png create mode 100644 r-analysis/EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_distdiff_styled.png create mode 100644 r-analysis/EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_histdiff_boxplot.png create mode 100644 r-analysis/EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_histdiff_by_group.png diff --git a/r-analysis/EffectsOfEnrollmentDelay.qmd b/r-analysis/EffectsOfEnrollmentDelay.qmd index 4380921..35a60b1 100644 --- a/r-analysis/EffectsOfEnrollmentDelay.qmd +++ b/r-analysis/EffectsOfEnrollmentDelay.qmd @@ -9,6 +9,7 @@ editor: source # Setup ```{r} +library(knitr) library(bayesplot) available_mcmc(pattern = "_nuts_") library(ggplot2) @@ -32,6 +33,7 @@ options(mc.cores = parallel::detectCores()) ```{r} ################ Pull data from database ###################### library(RPostgreSQL) +host <- 'aact_db-restored-2025-01-07' driver <- dbDriver("PostgreSQL") @@ -42,7 +44,7 @@ con <- dbConnect( user='root', password='root', dbname='aact_db', - host='will-office' + host=host ) on.exit(dbDisconnect(con)) @@ -59,7 +61,7 @@ select ,fdqpe.earliest_date_observed ,fdqpe.elapsed_duration ,fdqpe.n_brands as identical_brands - ,ntbtu.brand_name_count + ,ntbtu.brand_name_counts ,fdqpe.category_id ,fdqpe.final_status ,fdqpe.h_sdi_val @@ -78,7 +80,7 @@ select --,fdqpe.l_sdi_u95 --,fdqpe.l_sdi_l95 from formatted_data_with_planned_enrollment fdqpe - join \"Formularies\".nct_to_brands_through_uspdc ntbtu + join \"Formularies\".nct_to_brand_counts_through_uspdc ntbtu on fdqpe.nct_id = ntbtu.nct_id order by fdqpe.nct_id, fdqpe.earliest_date_observed ; @@ -101,7 +103,7 @@ con <- dbConnect( user='root', password='root', dbname='aact_db', - host='will-office' + host=host ) on.exit(dbDisconnect(con)) @@ -127,7 +129,7 @@ query <- dbSendQuery( ,fdqpe.earliest_date_observed ,fdqpe.elapsed_duration ,fdqpe.n_brands as identical_brands - ,ntbtu.brand_name_count + ,ntbtu.brand_name_counts ,fdqpe.category_id ,fdqpe.final_status ,fdqpe.h_sdi_val @@ -146,7 +148,7 @@ query <- dbSendQuery( --,fdqpe.l_sdi_u95 --,fdqpe.l_sdi_l95 from formatted_data_with_planned_enrollment fdqpe - join \"Formularies\".nct_to_brands_through_uspdc ntbtu + join \"Formularies\".nct_to_brand_counts_through_uspdc ntbtu on fdqpe.nct_id = ntbtu.nct_id join cte on fdqpe.nct_id = cte.nct_id @@ -235,7 +237,7 @@ inherited_cols <- c( ,"m_sdi_val" ,"lm_sdi_val" ,"l_sdi_val" - ,"status_NYR" + ,"status_NYR"# TODO: may need to remove ,"status_EBI" ,"status_Rec" ,"status_ANR" @@ -325,6 +327,7 @@ group_mcmc_areas <- function( rename=TRUE, filter=NULL ) { + #get all parameter names params <- get_parameters(stem,class_list) @@ -579,19 +582,35 @@ ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/default_p_generic_interv ```{r} +get_category_count <- function(tbl, id) { + result <- tbl$n[tbl$category_id == id] + if(length(result) == 0) 0 else result +} +category_names <- sapply(1:length(beta_list$groups), + function(i) sprintf("ICD-10 #%d: %s (n=%d)", + i, + beta_list$groups[i], + get_category_count(category_count, i))) +``` + +```{r} pddf_ib <- data.frame(extract(generated_ib, pars="predicted_difference")$predicted_difference) |> - pivot_longer(X1:X169) + pivot_longer(X1:X168) #CHANGE_NOTE: moved from X169 to X168 #TODO: Fix Category names pddf_ib["entry_idx"] <- as.numeric(gsub("\\D","",pddf_ib$name)) pddf_ib["category"] <- sapply(pddf_ib$entry_idx, function(i) df$category_id[i]) -pddf_ib["category_name"] <- sapply(pddf_ib$category, function(i) beta_list$groups[i]) +pddf_ib["category_name"] <- sapply( + pddf_ib$category, + function(i) category_names[i] + ) + ggplot(pddf_ib, aes(x=value,)) + - geom_density(bins=100) + + geom_density(adjust=1/5) + labs( title = "Distribution of predicted differences" ,subtitle = "Intervention: Delay close of enrollment" @@ -599,14 +618,15 @@ ggplot(pddf_ib, aes(x=value,)) + ,y = "Probability Density" ) + geom_vline(aes(xintercept = 0), color = "skyblue", linetype="dashed") -ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/p_generic_intervention_distdiff_styled.png") + #todo: add median, mean, 40/60 quantiles as well as +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_distdiff_styled.png") ggplot(pddf_ib, aes(x=value,)) + - geom_density(bins=100) + + geom_density(adjust=1/5) + facet_wrap( ~factor( category_name, - levels=beta_list$groups + levels=category_names ) , labeller = label_wrap_gen(multi_line = TRUE) , ncol=4) + @@ -618,57 +638,184 @@ ggplot(pddf_ib, aes(x=value,)) + ) + geom_vline(aes(xintercept = 0), color = "skyblue", linetype="dashed") + theme(strip.text.x = element_text(size = 8)) -ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/p_generic_intervention_distdiff_by_group.png") +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_distdiff_by_group.png") ggplot(pddf_ib, aes(x=value,)) + - geom_histogram(bins=100) + + geom_histogram(bins=300) + facet_wrap( ~factor( category_name, - levels=beta_list$groups + levels=category_names ) , labeller = label_wrap_gen(multi_line = TRUE) - , ncol=5) + + , ncol=4) + labs( title = "Histogram of predicted differences | By Group" ,subtitle = "Intervention: Delay close of enrollment" ,x = "Difference in probability due to intervention" ,y = "Predicted counts" ) + - #xlim(-0.25,0.1) + geom_vline(aes(xintercept = 0), color = "skyblue", linetype="dashed") + theme(strip.text.x = element_text(size = 8)) -ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/p_generic_intervention_histdiff_by_group.png") +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_histdiff_by_group.png") +``` + + +```{r} +p3 <- ggplot(pddf_ib, aes(x=value,)) + + geom_histogram(bins=500) + + labs( + title = "Distribution of predicted differences" + ,subtitle = "Intervention: Delay close of enrollment" + ,x = "Difference in probability due to intervention" + ,y = "Probability Density" + ,caption = "Vertical marks: 5/10/25/50/75/90/95th percentiles. Dot shows mean." + ) + + geom_vline(aes(xintercept = 0), color = "skyblue", linetype="dashed") + +stats <- list( + p5 = quantile(pddf_ib$value, 0.05), + p10 = quantile(pddf_ib$value, 0.10), + q1 = quantile(pddf_ib$value, 0.25), + med = median(pddf_ib$value), + mean = mean(pddf_ib$value), + q3 = quantile(pddf_ib$value, 0.75), + p90 = quantile(pddf_ib$value, 0.90), + p95 = quantile(pddf_ib$value, 0.95), + max_height = max(ggplot_build(p3)$data[[1]]$count), + y_offset = -max(ggplot_build(p3)$data[[1]]$count) * 0.05 +) + +p3 + + # Box + geom_segment(data = data.frame( + x = c(stats$q1, stats$q3, stats$med), + xend = c(stats$q1, stats$q3, stats$med), + y = rep(stats$y_offset, 3), + yend = rep(stats$y_offset * 2, 3) + ), aes(x = x, xend = xend, y = y, yend = yend)) + + geom_segment(data = data.frame( + x = rep(stats$q1, 2), + xend = rep(stats$q3, 2), + y = c(stats$y_offset, stats$y_offset * 2), + yend = c(stats$y_offset, stats$y_offset * 2) + ), aes(x = x, xend = xend, y = y, yend = yend)) + + # Inner whiskers (Q1->P10, Q3->P90) + geom_segment(data = data.frame( + x = c(stats$q1, stats$q3), + xend = c(stats$p10, stats$p90), + y = rep(stats$y_offset * 1.5, 2), + yend = rep(stats$y_offset * 1.5, 2) + ), aes(x = x, xend = xend, y = y, yend = yend)) + + # Crossbars at P10/P90 + geom_segment(data = data.frame( + x = c(stats$p10, stats$p90), + xend = c(stats$p10, stats$p90), + y = stats$y_offset * 1.3, + yend = stats$y_offset * 1.7 + ), aes(x = x, xend = xend, y = y, yend = yend)) + + # Outer whiskers (P10->P5, P90->P95) + geom_segment(data = data.frame( + x = c(stats$p10, stats$p90), + xend = c(stats$p5, stats$p95), + y = rep(stats$y_offset * 1.5, 2), + yend = rep(stats$y_offset * 1.5, 2) + ), aes(x = x, xend = xend, y = y, yend = yend)) + + # Crossbars at P5/P95 + geom_segment(data = data.frame( + x = c(stats$p5, stats$p95), + xend = c(stats$p5, stats$p95), + y = stats$y_offset * 1.3, + yend = stats$y_offset * 1.7 + ), aes(x = x, xend = xend, y = y, yend = yend)) + + # Mean dot + geom_point(data = data.frame( + x = stats$mean, + y = stats$y_offset * 1.5 + ), aes(x = x, y = y)) +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_histdiff_boxplot.png") +``` + +```{r} + ggplot(pddf_ib, aes(x=value)) + + stat_ecdf(geom='step') + + labs( + title = "Cumulative distribution of predicted differences", + subtitle = "Intervention: Delay close of enrollment", + x = "Difference in probability of termination due to intervention", + y = "Cumulative Proportion" + ) + +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_cumulative_distdiff.png") ``` -Get the probability of increase over probability of a decrease +Get the % of differences in the spike around zero ```{r} -mean(counterfact_predicted_ib$predicted_difference) +# get values around and above/below spike +width <- 0.02 +spike_band_centered_zero <- mean( pddf_ib$value >= -width/2 & pddf_ib$value <= width/2) +above_spike_band <- mean( pddf_ib$value >= width/2) +below_spike_band <- mean( pddf_ib$value <= -width/2) + +# get mass above and mass below zero +mass_below_zero <- mean( pddf_ib$value <= 0) ``` -Thus adding a Delay close of enrollment increases the probability of termination by 16.72% on average for -the snapshots investigated. +Looking at the spike around zero, we find that `r spike_band_centered_zero*100`% +of the probability mass is contained within the band from +[`r -width*100/2`,`r width*100/2`]. +Additionally, there was `r above_spike_band*100`% of the probability above that +-- representing those with a general increase in the probability of termination -- +and `r below_spike_band*100`% of the probability mass below the band +-- representing a decrease in the probability of termination. + +On average, if you keep the trial open instead of closing it, +`r mass_below_zero`% of trials will see a decrease in the probability of termination, +but, due to the high increase in probability of termination given termination was increased, +the mean probability of termination increases by `r stats$mean`. +```{r} +# 5%-iles + +summary(pddf_ib$value) + +# Create your quantiles +quants <- quantile(pddf_ib$value, probs = seq(0,1,0.05), type=4) + +# Convert to a data frame +quant_df <- data.frame( + Percentile = names(quants), + Value = quants +) +kable(quant_df) +``` +There seems to be some trials that are highly suceptable to this enrollment delay. Specifically, there were some ```{r} n = length(counterfact_predicted_ib$p_predicted_intervention) -mean(rbinom(n,1,as.vector(counterfact_predicted_ib$p_predicted_intervention))) -mean(rbinom(n,1,as.vector(counterfact_predicted_ib$p_predicted_default))) +k = 100 +simulated_terminations_intervention <- mean(rbinom(n,k,as.vector(counterfact_predicted_ib$p_predicted_intervention))) +simulated_terminations_base <-mean(rbinom(n,k,as.vector(counterfact_predicted_ib$p_predicted_default))) + +simulated_percentages <- (simulated_terminations_intervention - simulated_terminations_base)/k ``` +The simulation above shows that this results in a percentage-point increase of about +`r simulated_percentages * 100`. + # Diagnostics ```{r} -#| eval: false +#| eval: true #trace plots plot(fit, pars=c("mu"), plotfun="trace") -for (i in 1:4) { +for (i in 1:3) { print( mcmc_rank_overlay( fit, @@ -686,10 +833,10 @@ for (i in 1:4) { ``` ```{r} -#| eval: false +#| eval: true plot(fit, pars=c("sigma"), plotfun="trace") -for (i in 1:4) { +for (i in 1:3) { print( mcmc_rank_overlay( fit, @@ -707,7 +854,7 @@ for (i in 1:4) { ``` ```{r} -#| eval: false +#| eval: true #other diagnostics logpost <- log_posterior(fit) nuts_prmts <- nuts_params(fit) @@ -716,15 +863,15 @@ posterior <- as.array(fit) ``` ```{r} -#| eval: false +#| eval: true color_scheme_set("darkgray") div_style <- parcoord_style_np(div_color = "green", div_size = 0.05, div_alpha = 0.4) mcmc_parcoord(posterior, regex_pars = "mu", np=nuts_prmts, np_style = div_style, alpha = 0.05) ``` ```{r} -#| eval: false -for (i in 1:4) { +#| eval: true +for (i in 1:3) { mus = sapply(3:0, function(j) paste0("mu[",4*i-j ,"]")) print( mcmc_pairs( @@ -744,14 +891,14 @@ for (i in 1:4) { ``` ```{r} -#| eval: false +#| eval: true mcmc_parcoord(posterior,regex_pars = "sigma", np=nuts_prmts, alpha=0.05) ``` ```{r} -#| eval: false +#| eval: true -for (i in 1:4) { +for (i in 1:3) { params = sapply(3:0, function(j) paste0("sigma[",4*i-j ,"]")) print( mcmc_pairs( @@ -769,9 +916,9 @@ for (i in 1:4) { ```{r} -#| eval: false +#| eval: true for (k in 1:22) { -for (i in 1:4) { +for (i in 1:3) { params = sapply(3:0, function(j) paste0("beta[",k,",",4*i-j ,"]")) print( mcmc_pairs( diff --git a/r-analysis/EffectsOfEnrollmentDelay.rmarkdown b/r-analysis/EffectsOfEnrollmentDelay.rmarkdown new file mode 100644 index 0000000..2d2c5dd --- /dev/null +++ b/r-analysis/EffectsOfEnrollmentDelay.rmarkdown @@ -0,0 +1,983 @@ +--- +title: "The Effects of Recruitment status on completion of clinical trials" +author: "Will King" +format: html +editor: source +--- + + + + +# Setup + + + +```{r} +library(knitr) +library(bayesplot) +available_mcmc(pattern = "_nuts_") +library(ggplot2) +library(patchwork) +library(tidyverse) +library(rstan) +library(tidyr) +library(ghibli) +library(xtable) +#Resources: https://github.com/stan-dev/rstan/wiki/RStan-Getting-Started + +#save unchanged models instead of recompiling +rstan_options(auto_write = TRUE) +#allow for multithreaded sampling +options(mc.cores = parallel::detectCores()) + +#test installation, shouldn't get any errors +#example(stan_model, package = "rstan", run.dontrun = TRUE) +``` + +```{r} +################ Pull data from database ###################### +library(RPostgreSQL) +host <- 'aact_db-restored-2025-01-07' + +driver <- dbDriver("PostgreSQL") + +get_data <- function(driver) { + +con <- dbConnect( + driver, + user='root', + password='root', + dbname='aact_db', + host=host + ) +on.exit(dbDisconnect(con)) + +query <- dbSendQuery( + con, +# "select * from formatted_data_with_planned_enrollment;" +" +select + fdqpe.nct_id + --,fdqpe.start_date + --,fdqpe.current_enrollment + --,fdqpe.enrollment_category + ,fdqpe.current_status + ,fdqpe.earliest_date_observed + ,fdqpe.elapsed_duration + ,fdqpe.n_brands as identical_brands + ,ntbtu.brand_name_counts + ,fdqpe.category_id + ,fdqpe.final_status + ,fdqpe.h_sdi_val + --,fdqpe.h_sdi_u95 + --,fdqpe.h_sdi_l95 + ,fdqpe.hm_sdi_val + --,fdqpe.hm_sdi_u95 + --,fdqpe.hm_sdi_l95 + ,fdqpe.m_sdi_val + --,fdqpe.m_sdi_u95 + --,fdqpe.m_sdi_l95 + ,fdqpe.lm_sdi_val + --,fdqpe.lm_sdi_u95 + --,fdqpe.lm_sdi_l95 + ,fdqpe.l_sdi_val + --,fdqpe.l_sdi_u95 + --,fdqpe.l_sdi_l95 +from formatted_data_with_planned_enrollment fdqpe + join \"Formularies\".nct_to_brand_counts_through_uspdc ntbtu + on fdqpe.nct_id = ntbtu.nct_id +order by fdqpe.nct_id, fdqpe.earliest_date_observed +; +" + ) +df <- fetch(query, n = -1) +df <- na.omit(df) + +query2 <-dbSendQuery(con,"select count(*) from \"DiseaseBurden\".icd10_categories ic where \"level\"=1;") +n_categories <- fetch(query2, n = -1) + +return(list(data=df,ncat=n_categories)) +} + + +get_counterfact_base <- function(driver) { + +con <- dbConnect( + driver, + user='root', + password='root', + dbname='aact_db', + host=host + ) +on.exit(dbDisconnect(con)) + +query <- dbSendQuery( + con, + " + with cte as ( + --get last recruiting state + select fd.nct_id, max(fd.earliest_date_observed),min(fd2.earliest_date_observed) as tmstmp + from formatted_data fd + join formatted_data fd2 + on fd.nct_id=fd2.nct_id and fd.earliest_date_observed < fd2.earliest_date_observed + where fd.current_status = 'Recruiting' + and fd2.current_status = 'Active, not recruiting' + group by fd.nct_id + ) + select + fdqpe.nct_id + --,fdqpe.start_date + --,fdqpe.current_enrollment + --,fdqpe.enrollment_category + ,fdqpe.current_status + ,fdqpe.earliest_date_observed + ,fdqpe.elapsed_duration + ,fdqpe.n_brands as identical_brands + ,ntbtu.brand_name_counts + ,fdqpe.category_id + ,fdqpe.final_status + ,fdqpe.h_sdi_val + --,fdqpe.h_sdi_u95 + --,fdqpe.h_sdi_l95 + ,fdqpe.hm_sdi_val + --,fdqpe.hm_sdi_u95 + --,fdqpe.hm_sdi_l95 + ,fdqpe.m_sdi_val + --,fdqpe.m_sdi_u95 + --,fdqpe.m_sdi_l95 + ,fdqpe.lm_sdi_val + --,fdqpe.lm_sdi_u95 + --,fdqpe.lm_sdi_l95 + ,fdqpe.l_sdi_val + --,fdqpe.l_sdi_u95 + --,fdqpe.l_sdi_l95 + from formatted_data_with_planned_enrollment fdqpe + join \"Formularies\".nct_to_brand_counts_through_uspdc ntbtu + on fdqpe.nct_id = ntbtu.nct_id + join cte + on fdqpe.nct_id = cte.nct_id + and fdqpe.earliest_date_observed = cte.tmstmp + order by fdqpe.nct_id, fdqpe.earliest_date_observed + ; + " + ) +df <- fetch(query, n = -1) +df <- na.omit(df) + +query2 <-dbSendQuery(con,"select count(*) from \"DiseaseBurden\".icd10_categories ic where \"level\"=1;") +n_categories <- fetch(query2, n = -1) + +return(list(data=df,ncat=n_categories)) +} + + +d <- get_data(driver) +df <- d$data +n_categories <- d$ncat + +cf <- get_counterfact_base(driver) +df_counterfact_base <- cf$data + + + +################ Format Data ########################### + +data_formatter <- function(df) { +categories <- df["category_id"] + +x <- df["elapsed_duration"] +x["identical_brands"] <- asinh(df$identical_brands) +x["brand_name_counts"] <- asinh(df$brand_name_count) +x["h_sdi_val"] <- asinh(df$h_sdi_val) +x["hm_sdi_val"] <- asinh(df$hm_sdi_val) +x["m_sdi_val"] <- asinh(df$m_sdi_val) +x["lm_sdi_val"] <- asinh(df$lm_sdi_val) +x["l_sdi_val"] <- asinh(df$l_sdi_val) + + +#Setup fixed effects +x["status_NYR"] <- ifelse(df["current_status"]=="Not yet recruiting",1,0) +x["status_EBI"] <- ifelse(df["current_status"]=="Enrolling by invitation",1,0) +x["status_Rec"] <- ifelse(df["current_status"]=="Recruiting",1,0) +x["status_ANR"] <- ifelse(df["current_status"]=="Active, not recruiting",1,0) + + +y <- ifelse(df["final_status"]=="Terminated",1,0) + +#get category list + + +return(list(x=x,y=y)) +} + +train <- data_formatter(df) +counterfact_base <- data_formatter(df_counterfact_base) + +categories <- df$category_id + +x <- train$x +y <- train$y + +x_cf_base <- counterfact_base$x +y_cf_base <- counterfact_base$y +cf_categories <- df_counterfact_base$category_id +``` + + + + + +# Fit Model + + + + + + +```{r} +################################# FIT MODEL ######################################### +inherited_cols <- c( + "elapsed_duration" + #,"identical_brands" + #,"brand_name_counts" + ,"h_sdi_val" + ,"hm_sdi_val" + ,"m_sdi_val" + ,"lm_sdi_val" + ,"l_sdi_val" + ,"status_NYR"# TODO: may need to remove + ,"status_EBI" + ,"status_Rec" + ,"status_ANR" +) +``` + +```{r} +beta_list <- list( + groups = c( + `1`="Infections & Parasites", + `2`="Neoplasms", + `3`="Blood & Immune system", + `4`="Endocrine, Nutritional, and Metabolic", + `5`="Mental & Behavioral", + `6`="Nervous System", + `7`="Eye and Adnexa", + `8`="Ear and Mastoid", + `9`="Circulatory", + `10`="Respiratory", + `11`="Digestive", + `12`="Skin & Subcutaneaous tissue", + `13`="Musculoskeletal", + `14`="Genitourinary", + `15`="Pregancy, Childbirth, & Puerperium", + `16`="Perinatal Period", + `17`="Congential", + `18`="Symptoms, Signs etc.", + `19`="Injury etc.", + `20`="External Causes", + `21`="Contact with Healthcare", + `22`="Special Purposes" + ), + parameters = c( + `1`="Elapsed Duration", + # brands + `2`="asinh(Generic Brands)", + `3`="asinh(Competitors USPDC)", + # population + `4`="asinh(High SDI)", + `5`="asinh(High-Medium SDI)", + `6`="asinh(Medium SDI)", + `7`="asinh(Low-Medium SDI)", + `8`="asinh(Low SDI)", + #Status + `9`="status_NYR", + `10`="status_EBI", + `11`="status_Rec", + `12`="status_ANR" + ) +) + +get_parameters <- function(stem,class_list) { + #get categories and lengths + named <- names(class_list) + lengths <- sapply(named, (function (x) length(class_list[[x]]))) + + #describe the grid needed + iter_list <- sapply(named, (function (x) 1:lengths[x])) + + #generate the list of parameters + pardf <- generate_parameter_df(stem, iter_list) + + #add columns with appropriate human-readable names + for (name in named) { + pardf[paste(name,"_hr",sep="")] <- as.factor( + sapply(pardf[name], (function (i) class_list[[name]][i])) + ) + } + + return(pardf) +} + +generate_parameter_df <- function(stem, iter_list) { + grid <- expand.grid(iter_list) + grid["param_name"] <- grid %>% unite(x,colnames(grid),sep=",") + grid["param_name"] <- paste(stem,"[",grid$param_name,"]",sep="") + return(grid) +} + +group_mcmc_areas <- function( + stem,# = "beta" + class_list,# = beta_list + stanfit,# = fit + group_id,# = 2 + rename=TRUE, + filter=NULL + ) { + + #get all parameter names + params <- get_parameters(stem,class_list) + + #filter down to parameters of interest + params <- filter(params,groups == group_id) + #Get dataframe with only the rows of interest + filtdata <- as.data.frame(stanfit)[params$param_name] + #rename columns + if (rename) dimnames(filtdata)[[2]] <- params$parameters_hr + #get group name for title + group_name <- class_list$groups[group_id] + #create area plot with appropriate title + p <- mcmc_areas(filtdata,prob = 0.8, prob_outer = 0.95) + + ggtitle(paste("Parameter distributions for ICD-10 class:",group_name)) + + geom_vline(xintercept=0,color="grey",alpha=0.75) + + d <- pivot_longer(filtdata, everything()) |> + group_by(name) |> + summarize( + mean=mean(value) + ,q025 = quantile(value,probs = 0.025) + ,q975 = quantile(value,probs = 0.975) + ,q05 = quantile(value,probs = 0.05) + ,q95 = quantile(value,probs = 0.95) + ) + return(list(plot=p,quantiles=d,name=group_name)) +} + +parameter_mcmc_areas <- function( + stem,# = "beta" + class_list,# = beta_list + stanfit,# = fit + parameter_id,# = 2 + rename=TRUE + ) { + #get all parameter names + params <- get_parameters(stem,class_list) + #filter down to parameters of interest + params <- filter(params,parameters == parameter_id) + #Get dataframe with only the rows of interest + filtdata <- as.data.frame(stanfit)[params$param_name] + #rename columns + if (rename) dimnames(filtdata)[[2]] <- params$groups_hr + #get group name for title + parameter_name <- class_list$parameters[parameter_id] + #create area plot with appropriate title + p <- mcmc_areas(filtdata,prob = 0.8, prob_outer = 0.95) + + ggtitle(parameter_name,"Parameter Distribution") + + d <- pivot_longer(filtdata, everything()) |> + group_by(name) |> + summarize( + mean=mean(value) + ,q025 = quantile(value,probs = 0.025) + ,q975 = quantile(value,probs = 0.975) + ,q05 = quantile(value,probs = 0.05) + ,q95 = quantile(value,probs = 0.95) + ) + return(list(plot=p,quantiles=d,name=parameter_name)) +} + + +``` + + + +Plan: select all snapshots that are the first to have closed enrollment (Rec -> ANR) + + +```{r} +#delay intervention +intervention_enrollment <- x_cf_base[c(inherited_cols,"brand_name_counts", "identical_brands")] +intervention_enrollment["status_ANR"] <- 0 +intervention_enrollment["status_Rec"] <- 1 +``` + +```{r} +counterfact_delay <- list( + D = ncol(x),# + N = nrow(x), + L = n_categories$count, + y = as.vector(y), + ll = as.vector(categories), + x = as.matrix(x), + mu_mean = 0, + mu_stdev = 0.05, + sigma_shape = 4, + sigma_rate = 20, + Nx = nrow(x_cf_base), + llx = as.vector(cf_categories), + counterfact_x_tilde = as.matrix(intervention_enrollment), + counterfact_x = as.matrix(x_cf_base) +) +``` + +```{r} +fit <- stan( + file='Hierarchal_Logistic.stan', + data = counterfact_delay, + chains = 4, + iter = 5000, + seed = 11021585 + ) +``` + + + + + + + + + + +## Explore data + + + + +```{r} +#get number of trials and snapshots in each category +group_trials_by_category <- as.data.frame(aggregate(category_id ~ nct_id, df, max)) +group_trials_by_category <- as.data.frame(group_trials_by_category) + +category_count <- group_trials_by_category |> group_by(category_id) |> count() + +``` + + + + + + + +## Fit Results + + + + +```{r} +################################# ANALYZE ##################################### +print(fit) +``` + + + + + +# Counterfactuals + + + +```{r} +generated_ib <- gqs( + fit@stanmodel, + data=counterfact_delay, + draws=as.matrix(fit), + seed=11021585 + ) +``` + +```{r} +df_ib_p <- data.frame( + p_prior=as.vector(extract(generated_ib, pars="p_prior")$p_prior) + ,p_predicted = as.vector(extract(generated_ib, pars="p_predicted")$p_predicted) +) + +df_ib_prior <- data.frame( + mu_prior = as.vector(extract(generated_ib, pars="mu_prior")$mu_prior) + ,sigma_prior = as.vector(extract(generated_ib, pars="sigma_prior")$sigma_prior) +) + +#p_prior +ggplot(df_ib_p, aes(x=p_prior)) + + geom_density() + + labs( + title="Implied Prior Distribution P" + ,subtitle="" + ,x="Probability Domain 'p'" + ,y="Probability Density" + ) +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/prior_p.png") + +#p_posterior +ggplot(df_ib_p, aes(x=p_predicted)) + + geom_density() + + labs( + title="Implied Posterior Distribution P" + ,subtitle="" + ,x="Probability Domain 'p'" + ,y="Probability Density" + ) +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/posterior_p.png") + +#mu_prior +ggplot(df_ib_prior) + + geom_density(aes(x=mu_prior)) + + labs( + title="Prior - Mu" + ,subtitle="same prior for all Mu values" + ,x="Mu" + ,y="Probability" + ) +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/prior_mu.png") + +#sigma_posterior +ggplot(df_ib_prior) + + geom_density(aes(x=sigma_prior)) + + labs( + title="Prior - Sigma" + ,subtitle="same prior for all Sigma values" + ,x="Sigma" + ,y="Probability" + ) +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/prior_sigma.png") +``` + +```{r} +check_hmc_diagnostics(fit) +``` + + + + + + + +### Intervention: Delay close of enrollment + + + +```{r} +counterfact_predicted_ib <- data.frame( + p_predicted_default = as.vector(extract(generated_ib, pars="p_predicted_default")$p_predicted_default) + ,p_predicted_intervention = as.vector(extract(generated_ib, pars="p_predicted_intervention")$p_predicted_intervention) + ,predicted_difference = as.vector(extract(generated_ib, pars="predicted_difference")$predicted_difference) +) + + +ggplot(counterfact_predicted_ib, aes(x=p_predicted_default)) + + geom_density() + + labs( + title="Predicted Distribution of 'p'" + ,subtitle="Intervention: None" + ,x="Probability Domain 'p'" + ,y="Probability Density" + ) +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/default_p_generic_intervention_base.png") + +ggplot(counterfact_predicted_ib, aes(x=p_predicted_intervention)) + + geom_density() + + labs( + title="Predicted Distribution of 'p'" + ,subtitle="Intervention: Delay close of enrollment" + ,x="Probability Domain 'p'" + ,y="Probability Density" + ) +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/default_p_generic_intervention_interv.png") + +ggplot(counterfact_predicted_ib, aes(x=predicted_difference)) + + geom_density() + + labs( + title="Predicted Distribution of differences 'p'" + ,subtitle="Intervention: Delay close of enrollment" + ,x="Difference in 'p' under treatment" + ,y="Probability Density" + ) +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/default_p_generic_intervention_distdiff.png") +``` + +```{r} +get_category_count <- function(tbl, id) { + result <- tbl$n[tbl$category_id == id] + if(length(result) == 0) 0 else result +} + +category_names <- sapply(1:length(beta_list$groups), + function(i) sprintf("ICD-10 #%d: %s (n=%d)", + i, + beta_list$groups[i], + get_category_count(category_count, i))) + +``` + +```{r} +pddf_ib <- data.frame(extract(generated_ib, pars="predicted_difference")$predicted_difference) |> + pivot_longer(X1:X168) #CHANGE_NOTE: moved from X169 to X168 + +#TODO: Fix Category names +pddf_ib["entry_idx"] <- as.numeric(gsub("\\D","",pddf_ib$name)) +pddf_ib["category"] <- sapply(pddf_ib$entry_idx, function(i) df$category_id[i]) +pddf_ib["category_name"] <- sapply( + pddf_ib$category, + function(i) category_names[i] + ) + + + +ggplot(pddf_ib, aes(x=value,)) + + geom_density(adjust=1/5) + + labs( + title = "Distribution of predicted differences" + ,subtitle = "Intervention: Delay close of enrollment" + ,x = "Difference in probability due to intervention" + ,y = "Probability Density" + ) + + geom_vline(aes(xintercept = 0), color = "skyblue", linetype="dashed") + #todo: add median, mean, 40/60 quantiles as well as +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_distdiff_styled.png") + +ggplot(pddf_ib, aes(x=value,)) + + geom_density(adjust=1/5) + + facet_wrap( + ~factor( + category_name, + levels=category_names + ) + , labeller = label_wrap_gen(multi_line = TRUE) + , ncol=4) + + labs( + title = "Distribution of predicted differences | By Group" + ,subtitle = "Intervention: Delay close of enrollment" + ,x = "Difference in probability due to intervention" + ,y = "Probability Density" + ) + + geom_vline(aes(xintercept = 0), color = "skyblue", linetype="dashed") + + theme(strip.text.x = element_text(size = 8)) +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_distdiff_by_group.png") + +ggplot(pddf_ib, aes(x=value,)) + + geom_histogram(bins=300) + + facet_wrap( + ~factor( + category_name, + levels=category_names + ) + , labeller = label_wrap_gen(multi_line = TRUE) + , ncol=4) + + labs( + title = "Histogram of predicted differences | By Group" + ,subtitle = "Intervention: Delay close of enrollment" + ,x = "Difference in probability due to intervention" + ,y = "Predicted counts" + ) + + geom_vline(aes(xintercept = 0), color = "skyblue", linetype="dashed") + + theme(strip.text.x = element_text(size = 8)) +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_histdiff_by_group.png") +``` + +```{r} +p3 <- ggplot(pddf_ib, aes(x=value,)) + + geom_histogram(bins=500) + + labs( + title = "Distribution of predicted differences" + ,subtitle = "Intervention: Delay close of enrollment" + ,x = "Difference in probability due to intervention" + ,y = "Probability Density" + ,caption = "Vertical marks: 5/10/25/50/75/90/95th percentiles. Dot shows mean." + ) + + geom_vline(aes(xintercept = 0), color = "skyblue", linetype="dashed") + +stats <- list( + p5 = quantile(pddf_ib$value, 0.05), + p10 = quantile(pddf_ib$value, 0.10), + q1 = quantile(pddf_ib$value, 0.25), + med = median(pddf_ib$value), + mean = mean(pddf_ib$value), + q3 = quantile(pddf_ib$value, 0.75), + p90 = quantile(pddf_ib$value, 0.90), + p95 = quantile(pddf_ib$value, 0.95), + max_height = max(ggplot_build(p3)$data[[1]]$count), + y_offset = -max(ggplot_build(p3)$data[[1]]$count) * 0.05 +) + +p3 + + # Box + geom_segment(data = data.frame( + x = c(stats$q1, stats$q3, stats$med), + xend = c(stats$q1, stats$q3, stats$med), + y = rep(stats$y_offset, 3), + yend = rep(stats$y_offset * 2, 3) + ), aes(x = x, xend = xend, y = y, yend = yend)) + + geom_segment(data = data.frame( + x = rep(stats$q1, 2), + xend = rep(stats$q3, 2), + y = c(stats$y_offset, stats$y_offset * 2), + yend = c(stats$y_offset, stats$y_offset * 2) + ), aes(x = x, xend = xend, y = y, yend = yend)) + + # Inner whiskers (Q1->P10, Q3->P90) + geom_segment(data = data.frame( + x = c(stats$q1, stats$q3), + xend = c(stats$p10, stats$p90), + y = rep(stats$y_offset * 1.5, 2), + yend = rep(stats$y_offset * 1.5, 2) + ), aes(x = x, xend = xend, y = y, yend = yend)) + + # Crossbars at P10/P90 + geom_segment(data = data.frame( + x = c(stats$p10, stats$p90), + xend = c(stats$p10, stats$p90), + y = stats$y_offset * 1.3, + yend = stats$y_offset * 1.7 + ), aes(x = x, xend = xend, y = y, yend = yend)) + + # Outer whiskers (P10->P5, P90->P95) + geom_segment(data = data.frame( + x = c(stats$p10, stats$p90), + xend = c(stats$p5, stats$p95), + y = rep(stats$y_offset * 1.5, 2), + yend = rep(stats$y_offset * 1.5, 2) + ), aes(x = x, xend = xend, y = y, yend = yend)) + + # Crossbars at P5/P95 + geom_segment(data = data.frame( + x = c(stats$p5, stats$p95), + xend = c(stats$p5, stats$p95), + y = stats$y_offset * 1.3, + yend = stats$y_offset * 1.7 + ), aes(x = x, xend = xend, y = y, yend = yend)) + + # Mean dot + geom_point(data = data.frame( + x = stats$mean, + y = stats$y_offset * 1.5 + ), aes(x = x, y = y)) +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_histdiff_boxplot.png") +``` + +```{r} + ggplot(pddf_ib, aes(x=value)) + + stat_ecdf(geom='step') + + labs( + title = "Cumulative distribution of predicted differences", + subtitle = "Intervention: Delay close of enrollment", + x = "Difference in probability of termination due to intervention", + y = "Cumulative Proportion" + ) + +ggsave("./EffectsOfEnrollmentDelay/Images/DirectEffects/p_delay_intervention_cumulative_distdiff.png") +``` + + + + +Get the % of differences in the spike around zero + + +```{r} +# get values around and above/below spike +width <- 0.02 +spike_band_centered_zero <- mean( pddf_ib$value >= -width/2 & pddf_ib$value <= width/2) +above_spike_band <- mean( pddf_ib$value >= width/2) +below_spike_band <- mean( pddf_ib$value <= -width/2) + +# get mass above and mass below zero +mass_below_zero <- mean( pddf_ib$value <= 0) +``` + + +Looking at the spike around zero, we find that `r spike_band_centered_zero*100`% +of the probability mass is contained within the band from +[`r -width*100/2`,`r width*100/2`]. +Additionally, there was `r above_spike_band*100`% of the probability above that +-- representing those with a general increase in the probability of termination -- +and `r below_spike_band*100`% of the probability mass below the band +-- representing a decrease in the probability of termination. + +On average, if you keep the trial open instead of closing it, +`r mass_below_zero`% of trials will see a decrease in the probability of termination, +but, due to the high increase in probability of termination given termination was increased, +the mean probability of termination increases by `r stats$mean`. + + + +```{r} +# 5%-iles + +summary(pddf_ib$value) + +# Create your quantiles +quants <- quantile(pddf_ib$value, probs = seq(0,1,0.05), type=4) + +# Convert to a data frame +quant_df <- data.frame( + Percentile = names(quants), + Value = quants +) +kable(quant_df) +``` + +```{r} +n = length(counterfact_predicted_ib$p_predicted_intervention) +k = 100 +simulated_terminations_intervention <- mean(rbinom(n,k,as.vector(counterfact_predicted_ib$p_predicted_intervention))) +simulated_terminations_base <-mean(rbinom(n,k,as.vector(counterfact_predicted_ib$p_predicted_default))) + +simulated_percentages <- (simulated_terminations_intervention - simulated_terminations_base)/k +``` + + + +The simulation above shows that this results in a percentage-point increase of about +`r simulated_percentages * 100`. + + + + +# Diagnostics + + + +```{r} +#| eval: true +#trace plots +plot(fit, pars=c("mu"), plotfun="trace") + + +for (i in 1:3) { + print( + mcmc_rank_overlay( + fit, + pars=c( + paste0("mu[",4*i-3,"]"), + paste0("mu[",4*i-2,"]"), + paste0("mu[",4*i-1,"]"), + paste0("mu[",4*i,"]") + ), + n_bins=100 + )+ legend_move("top") + + scale_colour_ghibli_d("KikiMedium") + ) +} +``` + +```{r} +#| eval: true +plot(fit, pars=c("sigma"), plotfun="trace") + +for (i in 1:3) { + print( + mcmc_rank_overlay( + fit, + pars=c( + paste0("sigma[",4*i-3,"]"), + paste0("sigma[",4*i-2,"]"), + paste0("sigma[",4*i-1,"]"), + paste0("sigma[",4*i,"]") + ), + n_bins=100 + )+ legend_move("top") + + scale_colour_ghibli_d("KikiMedium") + ) +} +``` + +```{r} +#| eval: true +#other diagnostics +logpost <- log_posterior(fit) +nuts_prmts <- nuts_params(fit) +posterior <- as.array(fit) + +``` + +```{r} +#| eval: true +color_scheme_set("darkgray") +div_style <- parcoord_style_np(div_color = "green", div_size = 0.05, div_alpha = 0.4) +mcmc_parcoord(posterior, regex_pars = "mu", np=nuts_prmts, np_style = div_style, alpha = 0.05) +``` + +```{r} +#| eval: true +for (i in 1:3) { + mus = sapply(3:0, function(j) paste0("mu[",4*i-j ,"]")) + print( + mcmc_pairs( + posterior, + np = nuts_prmts, + pars=c( + mus, + "lp__" + ), + off_diag_args = list(size = 0.75) + ) + ) +} + + + +``` + +```{r} +#| eval: true +mcmc_parcoord(posterior,regex_pars = "sigma", np=nuts_prmts, alpha=0.05) +``` + +```{r} +#| eval: true + +for (i in 1:3) { + params = sapply(3:0, function(j) paste0("sigma[",4*i-j ,"]")) + print( + mcmc_pairs( + posterior, + np = nuts_prmts, + pars=c( + params, + "lp__" + ), + off_diag_args = list(size = 0.75) + ) + ) +} +``` + +```{r} +#| eval: true +for (k in 1:22) { +for (i in 1:3) { + params = sapply(3:0, function(j) paste0("beta[",k,",",4*i-j ,"]")) + print( + mcmc_pairs( + posterior, + np = nuts_prmts, + pars=c( + params, + "lp__" + ), + off_diag_args = list(size = 0.75) + ) + ) +}} +``` + + + + + + + + +# TODO +- [ ] Double check data flow. 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