Last updated: 2024-03-11

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Description:

Simulation results based on real genotype data from GTEx. I took the SNPs for a certain gene, Thyroid.ENSG00000132855. Therefore, sample size \(n=584\), and I choose variable number \(p=1000\).

Steps for simulating survival data:

  1. Select a random point on the genome, indx_start. Then the predictors are from [indx_start:(indx_start + p -1)].

  2. Two correlation types: real correlation and independent. In independent, I simply permute each variable values. The max correlation can be 0.3, but a lot of correlation will be close to 0.

  3. Effect size \(b\sim N(0,1)\).

  4. Simulate survival time using exponential survival model.

Fitting:

  1. susie: \(L=5\) and estimate prior covariance

  2. r2b was set to default number of iterations

source("/project2/mstephens/yunqiyang/surv-susie/survival-susie/code/pip.R")
susie = readRDS("/project2/mstephens/yunqiyang/surv-susie/sim2024/sim_niter10/susie.rds")
svb = readRDS("/project2/mstephens/yunqiyang/surv-susie/sim2024/sim_niter10/svb.rds")
bvsnlp = readRDS("/project2/mstephens/yunqiyang/surv-susie/sim2024/sim_niter10/bvsnlp.rds")
r2b = readRDS("/project2/mstephens/yunqiyang/surv-susie/sim2024/sim_niter10/r2b.rds")
rss = readRDS("/project2/mstephens/yunqiyang/surv-susie/sim2024/sim_niter10/rss.rds")
censor_lvls = unique(susie$simulate.censor_lvl)

1. Use the real correlation of SNPs

par(mfrow = c(5,4))
for (i in 1:length(censor_lvls)){
  indx = which(susie$simulate.cor_type == "real" & susie$simulate.censor_lvl == censor_lvls[i])
  pip.susie = unlist(lapply(indx, function(x) susie$susie.pip[[x]]))
  pip.svb = unlist(lapply(indx, function(x) svb$svb.pip[[x]]))
  pip.bvsnlp = unlist(lapply(indx, function(x) bvsnlp$bvsnlp.pip[[x]]))
  pip.r2b = unlist(lapply(indx, function(x) r2b$r2b.pip[[x]]))
  pip.rss = unlist(lapply(indx, function(x) rss$rss.pip[[x]]))
  
  is_effect = unlist(lapply(indx, function(x) susie$simulate.is_effect[[x]]))


  res.pip = compare_pip(pip.susie, pip.svb, is_effect)
  plot_pip(res.pip, labs = c("susie", "survival.svb"), main = paste0("censor=",censor_lvls[i]))
  abline(a = 0, b = 1, lty = 2, col = "blue")
  
  res.pip = compare_pip(pip.susie, pip.bvsnlp, is_effect)
  plot_pip(res.pip, labs = c("susie", "bvsnlp"), main = paste0("censor=",censor_lvls[i]))
  abline(a = 0, b = 1, lty = 2, col = "blue")
  
  res.pip = compare_pip(pip.susie, pip.r2b, is_effect)
  plot_pip(res.pip, labs = c("susie", "r2b"), main = paste0("censor=",censor_lvls[i]))
  abline(a = 0, b = 1, lty = 2, col = "blue")
  
  res.pip = compare_pip(pip.susie, pip.rss, is_effect)
  plot_pip(res.pip, labs = c("susie", "rss"), main = paste0("censor=",censor_lvls[i]))
  abline(a = 0, b = 1, lty = 2, col = "blue")
  
}

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par(mfrow = c(5,5))
for (i in 1:length(censor_lvls)){
  indx = which(bvsnlp$simulate.cor_type == "real" & bvsnlp$simulate.censor_lvl == censor_lvls[i])
  is_effect = unlist(lapply(indx, function(x) bvsnlp$simulate.is_effect[[x]]))
  pip.susie = unlist(lapply(indx, function(x) susie$susie.pip[[x]]))
  pip.survsvb = unlist(lapply(indx, function(x) svb$svb.pip[[x]]))
  pip.bvsnlp = unlist(lapply(indx, function(x) bvsnlp$bvsnlp.pip[[x]]))
  pip.rss = unlist(lapply(indx, function(x) rss$rss.pip[[x]]))
  pip.r2b = unlist(lapply(indx, function(x) r2b$r2b.pip[[x]]))
  
  # Calibration plot for pip.susie
  calibration.susie = pip_calibration(pip.susie, is_effect)
  plot_calibration(calibration.susie, main = paste0("susie: censor=", censor_lvls[i]))
  
  # Calibration plot for pip.svb
  calibration.survsvb = pip_calibration(pip.survsvb, is_effect)
  plot_calibration(calibration.survsvb, main = paste0("svb: censor=", censor_lvls[i]))
  
  # Calibration plot for pip.bvsnlp
  calibration.bvsnlp = pip_calibration(pip.bvsnlp, is_effect)
  plot_calibration(calibration.bvsnlp, main = paste0("bvsnlp: censor=", censor_lvls[i]))
  
  # Calibration plot for pip.rss
  calibration.rss = pip_calibration(pip.rss, is_effect)
  plot_calibration(calibration.rss, main = paste0("rss: censor=", censor_lvls[i]))
  
  # Calibration plot for pip.r2b
  calibration.r2b = pip_calibration(pip.r2b, is_effect)
  plot_calibration(calibration.r2b, main = paste0("r2b: censor=", censor_lvls[i]))
}

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2. Near independent SNPs

par(mfrow = c(5,4))
for (i in 1:length(censor_lvls)){
  indx = which(susie$simulate.cor_type == "independent" & susie$simulate.censor_lvl == censor_lvls[i])
  pip.susie = unlist(lapply(indx, function(x) susie$susie.pip[[x]]))
  pip.svb = unlist(lapply(indx, function(x) svb$svb.pip[[x]]))
  pip.bvsnlp = unlist(lapply(indx, function(x) bvsnlp$bvsnlp.pip[[x]]))
  pip.r2b = unlist(lapply(indx, function(x) r2b$r2b.pip[[x]]))
  pip.rss = unlist(lapply(indx, function(x) rss$rss.pip[[x]]))
  
  is_effect = unlist(lapply(indx, function(x) susie$simulate.is_effect[[x]]))


  res.pip = compare_pip(pip.susie, pip.svb, is_effect)
  plot_pip(res.pip, labs = c("susie", "survival.svb"), main = paste0("censor=",censor_lvls[i]))
  abline(a = 0, b = 1, lty = 2, col = "blue")
  
  res.pip = compare_pip(pip.susie, pip.bvsnlp, is_effect)
  plot_pip(res.pip, labs = c("susie", "bvsnlp"), main = paste0("censor=",censor_lvls[i]))
  abline(a = 0, b = 1, lty = 2, col = "blue")
  
  res.pip = compare_pip(pip.susie, pip.r2b, is_effect)
  plot_pip(res.pip, labs = c("susie", "r2b"), main = paste0("censor=",censor_lvls[i]))
  abline(a = 0, b = 1, lty = 2, col = "blue")
  
  res.pip = compare_pip(pip.susie, pip.rss, is_effect)
  plot_pip(res.pip, labs = c("susie", "rss"), main = paste0("censor=",censor_lvls[i]))
  abline(a = 0, b = 1, lty = 2, col = "blue")
  
}

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par(mfrow = c(5,5))
for (i in 1:length(censor_lvls)){
  indx = which(bvsnlp$simulate.cor_type == "independent" & bvsnlp$simulate.censor_lvl == censor_lvls[i])
  is_effect = unlist(lapply(indx, function(x) bvsnlp$simulate.is_effect[[x]]))
  pip.susie = unlist(lapply(indx, function(x) susie$susie.pip[[x]]))
  pip.survsvb = unlist(lapply(indx, function(x) svb$svb.pip[[x]]))
  pip.bvsnlp = unlist(lapply(indx, function(x) bvsnlp$bvsnlp.pip[[x]]))
  pip.rss = unlist(lapply(indx, function(x) rss$rss.pip[[x]]))
  pip.r2b = unlist(lapply(indx, function(x) r2b$r2b.pip[[x]]))
  
  # Calibration plot for pip.susie
  calibration.susie = pip_calibration(pip.susie, is_effect)
  plot_calibration(calibration.susie, main = paste0("susie: censor=", censor_lvls[i]))
  
  # Calibration plot for pip.svb
  calibration.survsvb = pip_calibration(pip.survsvb, is_effect)
  plot_calibration(calibration.survsvb, main = paste0("svb: censor=", censor_lvls[i]))
  
  # Calibration plot for pip.bvsnlp
  calibration.bvsnlp = pip_calibration(pip.bvsnlp, is_effect)
  plot_calibration(calibration.bvsnlp, main = paste0("bvsnlp: censor=", censor_lvls[i]))
  
  # Calibration plot for pip.rss
  calibration.rss = pip_calibration(pip.rss, is_effect)
  plot_calibration(calibration.rss, main = paste0("rss: censor=", censor_lvls[i]))
  
  # Calibration plot for pip.r2b
  calibration.r2b = pip_calibration(pip.r2b, is_effect)
  plot_calibration(calibration.r2b, main = paste0("r2b: censor=", censor_lvls[i]))
}

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sessionInfo()
# R version 4.2.0 (2022-04-22)
# Platform: x86_64-pc-linux-gnu (64-bit)
# Running under: CentOS Linux 7 (Core)
# 
# Matrix products: default
# BLAS/LAPACK: /software/openblas-0.3.13-el7-x86_64/lib/libopenblas_haswellp-r0.3.13.so
# 
# locale:
#  [1] LC_CTYPE=en_US.UTF-8 LC_NUMERIC=C         LC_TIME=C           
#  [4] LC_COLLATE=C         LC_MONETARY=C        LC_MESSAGES=C       
#  [7] LC_PAPER=C           LC_NAME=C            LC_ADDRESS=C        
# [10] LC_TELEPHONE=C       LC_MEASUREMENT=C     LC_IDENTIFICATION=C 
# 
# attached base packages:
# [1] stats     graphics  grDevices utils     datasets  methods   base     
# 
# other attached packages:
# [1] workflowr_1.7.0
# 
# loaded via a namespace (and not attached):
#  [1] Rcpp_1.0.8.3     highr_0.9        bslib_0.3.1      compiler_4.2.0  
#  [5] pillar_1.7.0     later_1.3.0      git2r_0.30.1     jquerylib_0.1.4 
#  [9] tools_4.2.0      getPass_0.2-2    digest_0.6.29    jsonlite_1.8.0  
# [13] evaluate_0.15    tibble_3.1.7     lifecycle_1.0.1  pkgconfig_2.0.3 
# [17] rlang_1.0.2      cli_3.3.0        rstudioapi_0.13  yaml_2.3.5      
# [21] xfun_0.30        fastmap_1.1.0    httr_1.4.3       stringr_1.4.0   
# [25] knitr_1.39       sass_0.4.1       fs_1.5.2         vctrs_0.4.1     
# [29] rprojroot_2.0.3  glue_1.6.2       R6_2.5.1         processx_3.8.0  
# [33] fansi_1.0.3      rmarkdown_2.14   callr_3.7.3      magrittr_2.0.3  
# [37] whisker_0.4      ps_1.7.0         promises_1.2.0.1 htmltools_0.5.2 
# [41] ellipsis_0.3.2   httpuv_1.6.5     utf8_1.2.2       stringi_1.7.6   
# [45] crayon_1.5.1