Last updated: 2019-05-06

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Knit directory: dsc-susie-z/

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Unstaged changes:
    Modified:   analysis/SuSiErssNotConverge.Rmd
    Modified:   analysis/SusieZPerformance.Rmd
    Modified:   analysis/SusieZPerformanceRE3.Rmd
    Modified:   output/dsc_susie_z_v_output.rds

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Rmd 592f7fe zouyuxin 2019-05-06 wflow_publish(“analysis/r_compare_add_z_lambda_caviar_FINEMAP_ROC.Rmd”) 
library(ggplot2)
library(cowplot)
Warning: package 'cowplot' was built under R version 3.5.2

Attaching package: 'cowplot'
The following object is masked from 'package:ggplot2':

    ggsave
library(gridExtra)
library(dplyr)

Attaching package: 'dplyr'
The following object is masked from 'package:gridExtra':

    combine
The following objects are masked from 'package:stats':

    filter, lag
The following objects are masked from 'package:base':

    intersect, setdiff, setequal, union
dscout = readRDS('output/r_compare_add_z_lambda_caviar_dscout_finemap_tibble.rds')
dscout = dscout[,-c(2,6,8,11:14)]
colnames(dscout) = c('DSC', 'pve', 'n_signal', 'meta','N_in', 'ld_method','add_z','pip')

FINEMAP v 1.3.1

dscout.finemap.list = list('in_sample' = dscout %>% filter(dscout$ld_method == 'in_sample' & dscout$add_z == FALSE),
                          'in_sample.addz' = dscout %>% filter(dscout$ld_method == 'in_sample' & dscout$add_z == TRUE),
                          'out_sample' = dscout %>% filter(dscout$ld_method == 'out_sample' & dscout$add_z == FALSE),
                          'out_sample.addz' = dscout %>% filter(dscout$ld_method == 'out_sample' & dscout$add_z == TRUE))
dat = list()
for(name in names(dscout.finemap.list)){
  dat[[name]] = matrix(NA, 0, 2)
}
for(Rtype in names(dat)){
  for(j in 1:nrow(dscout.finemap.list[[Rtype]])){
    datj = cbind(dscout.finemap.list[[Rtype]]$pip[[j]], as.integer(dscout.finemap.list[[Rtype]]$meta[[j]]$true_coef!=0))
    dat[[Rtype]] = rbind(dat[[Rtype]], datj)
  }
  colnames(dat[[Rtype]]) = c('pip', 'truth')
}
bin_size = 20
bins = cbind(seq(1:bin_size)/bin_size-1/bin_size, seq(1:bin_size)/bin_size)
pip_cali = list()
for(name in names(dscout.finemap.list)){
  pip_cali[[name]] = matrix(NA, nrow(bins), 3)
}

for(Rtype in names(pip_cali)){
  for (i in 1:nrow(bins)) {
    data_in_bin = dat[[Rtype]][which(dat[[Rtype]][,1] > bins[i,1] & dat[[Rtype]][,1] < bins[i,2]),, drop=FALSE]
    pip_cali[[Rtype]][i,1] = sum(data_in_bin[,'pip'])
    pip_cali[[Rtype]][i,2] = sum(data_in_bin[,'truth'])
    pip_cali[[Rtype]][i,3] = nrow(data_in_bin)
  }
}

for(Rtype in names(pip_cali)){
  pip_cali[[Rtype]][,c(1,2)] = pip_cali[[Rtype]][,c(1,2)] / pip_cali[[Rtype]][,3]
}
dot_plot = function(dataframe) {
  ggplot(dataframe, aes(x=mean_pip, y=observed_freq)) + 
    geom_errorbar(aes(ymin=observed_freq-se, ymax=observed_freq+se), colour="gray", size = 0.2, width=.01) + 
    geom_point(size=1.5, shape=21, fill="#002b36") + # 21 is filled circle 
    xlab("Mean PIP") +
    ylab("Observed frequency") +
    coord_cartesian(ylim=c(0,1), xlim=c(0,1)) +
    geom_abline(slope=1,intercept=0,colour='red', size=0.2) +
    expand_limits(y=0) +                        # Expand y range
    theme_cowplot()
}

Calibrated PIP

g = list()
idx = 0
for(Rtype in names(pip_cali)){
  idx = idx + 1
  pip_cali[[Rtype]][,3] = sqrt(pip_cali[[Rtype]][,2] * (1 - pip_cali[[Rtype]][,2]) / pip_cali[[Rtype]][,3]) * 2
  pip_cali[[Rtype]] = as.data.frame(pip_cali[[Rtype]])
  colnames(pip_cali[[Rtype]]) = c("mean_pip", "observed_freq", "se")
  g[[Rtype]] = dot_plot(pip_cali[[Rtype]]) + ggtitle(Rtype)
}
grid.arrange(g[[1]], g[[2]], g[[3]], g[[4]], nrow = 2)

Power vs FDR

pip_cutoff = 0.05

roc_data = function(d1, cutoff = c(pip_cutoff, 0.999), connect_org = F) {
  grid = 500
  ttv = seq(1:grid)/grid
  ttv = ttv[which(ttv>=cutoff[1] & ttv<=cutoff[2])]
  rst1 = t(sapply(ttv, function(x) c(sum(d1[,2][d1[,1]>=x]), length(d1[,2][d1[,1]>=x]), sum(d1[,2][d1[,1]>=x]==0))))
  rst1 = cbind(rst1, sum(d1[,2]), sum(1-d1[,2]))
  rst1 = as.data.frame(rst1)
  colnames(rst1) = c('true_positive', 'total_positive', 'false_positive', 'total_signal','total_null')
  rst2 = as.data.frame(cbind(rst1$true_positive / rst1$total_positive, rst1$true_positive / rst1$total_signal,  ttv))
  if (connect_org) {
    # make a stair to origin
    rst2 = rbind(rst2, c(max(0.995, rst2[nrow(rst2),1]), max(rst2[nrow(rst2),2]-0.01, 0), rst2[nrow(rst2),3]))
    rst2 = rbind(rst2, c(1, 0, 1))
  }
  colnames(rst2) = c('Precision', 'Recall', 'Threshold')
  return(list(counts = rst1, rates = rst2))
}

print("Computing ROC data ...")
[1] "Computing ROC data ..."
roc = list()
for (method in names(dat)) {
  roc[[method]] = roc_data(dat[[method]])
}
saveRDS(roc, 'output/r_compare_add_z_lambda_caviar_FINEMAP_ROC.rds')
roc = readRDS('output/r_compare_add_z_lambda_caviar_FINEMAP_ROC.rds')
chunks = 0
smooth = FALSE
colors = c('#A60628', '#7A68A6', '#348ABD', '#467821', '#FF0000', '#188487', '#E2A233','#A9A9A9', '#000000', '#FF00FF', '#FFD700', '#ADFF2F', '#00FFFF')
library(scam)
Loading required package: mgcv
Loading required package: nlme

Attaching package: 'nlme'
The following object is masked from 'package:dplyr':

    collapse
This is mgcv 1.8-26. For overview type 'help("mgcv-package")'.
This is scam 1.2-3.
create_chunks = function(item, n) {
  splitted = suppressWarnings(split(item, 1:n))
  return(c(splitted[[1]], splitted[[length(splitted)]][length(splitted[[length(splitted)]])]))
}
make_smooth = function(x,y,subset=chunks, smooth = FALSE){
  if (smooth) {
    if (subset < length(x) && subset > 0) {
      x = create_chunks(x, subset)
      y = create_chunks(y, subset)
    }
    dat = data.frame(cbind(x,y))
    colnames(dat) = c('x','y')
    y=predict(scam(y ~ s(x, bs = "mpi"), data = dat))
    }
  return(list(x=x,y=y))
}
add_text = function(thresholds,x,y,threshold,color,delta = -0.06) {
  idx = which(thresholds == threshold)
  text(x[idx] - delta,y[idx],labels = threshold,col = color,cex = 0.8)
  points(x[idx], y[idx])
}
labels = vector()
i = 1
for (method in names(roc)) {
  yy = make_smooth(1 - roc[[method]]$rates$Precision, roc[[method]]$rates$Recall)
  if (i == 1) {
    plot(yy$x, yy$y, t="l", col=colors[i], ylab = "power", xlab ="FDR", main = 'Power vs FDR', bty='l', lwd = 2, xlim = c(0,1), ylim = c(0,0.8))
  } else {
    lines(yy$x, yy$y, col=colors[i], lwd = 2, xlim = c(0,1), ylim = c(0,0.8))
  }
  #add_text(dat[[method]]$rates$Threshold, yy$x, yy$y, 0.9, colors[i])
  add_text(roc[[method]]$rates$Threshold, yy$x, yy$y, 0.95, colors[i])
  labels[i] = method
  i = i + 1
}
legend("topright", legend=labels, col=colors[1:i], lty=c(1,1,1), cex=0.8)

ROC

tmp = list()
for (method in names(roc)) {
  TPR = roc[[method]]$counts$true_positive/roc[[method]]$counts$total_signal
  FPR = roc[[method]]$counts$false_positive/roc[[method]]$counts$total_null
  threshold = roc[[method]]$rates$Threshold
  tmp[[method]] = list(TPR = TPR, FPR = FPR, threshold = threshold)
}
roc = tmp
labels = vector()
i = 1
for (method in names(roc)) {
  yy = make_smooth(roc[[method]]$FPR, roc[[method]]$TPR)
  if (i == 1) {
    plot(yy$x, yy$y, t="l", col=colors[i], ylab = "True Positive Rate", xlab ="False Positive Rate", main = 'ROC', bty='l', lwd = 3, xlim = c(0,0.005), ylim = c(0,0.6))
  } else {
    lines(yy$x, yy$y, col=colors[i], lwd = 2, xlim = c(0,0.005), ylim = c(0,0.6))
  }
  #add_text(dat[[method]]$rates$Threshold, yy$x, yy$y, 0.9, colors[i])
  add_text(roc[[method]]$threshold, yy$x, yy$y, 0.95, colors[i])
  labels[i] = method
  i = i + 1
}
legend("bottomright", legend=labels, col=colors[1:i], lty=rep(1, i), cex=0.8, lwd=rep(3, i))


sessionInfo()
R version 3.5.1 (2018-07-02)
Platform: x86_64-apple-darwin15.6.0 (64-bit)
Running under: macOS  10.14.4

Matrix products: default
BLAS: /Library/Frameworks/R.framework/Versions/3.5/Resources/lib/libRblas.0.dylib
LAPACK: /Library/Frameworks/R.framework/Versions/3.5/Resources/lib/libRlapack.dylib

locale:
[1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
[1] scam_1.2-3     mgcv_1.8-26    nlme_3.1-137   bindrcpp_0.2.2
[5] dplyr_0.7.8    gridExtra_2.3  cowplot_0.9.4  ggplot2_3.1.0 

loaded via a namespace (and not attached):
 [1] Rcpp_1.0.1       compiler_3.5.1   pillar_1.3.1     git2r_0.24.0    
 [5] plyr_1.8.4       workflowr_1.3.0  bindr_0.1.1      tools_3.5.1     
 [9] digest_0.6.18    lattice_0.20-38  evaluate_0.12    tibble_2.0.1    
[13] gtable_0.2.0     pkgconfig_2.0.2  rlang_0.3.1      Matrix_1.2-15   
[17] yaml_2.2.0       withr_2.1.2      stringr_1.3.1    knitr_1.20      
[21] fs_1.2.6         rprojroot_1.3-2  grid_3.5.1       tidyselect_0.2.5
[25] glue_1.3.0       R6_2.3.0         rmarkdown_1.11   purrr_0.2.5     
[29] magrittr_1.5     whisker_0.3-2    splines_3.5.1    backports_1.1.3 
[33] scales_1.0.0     htmltools_0.3.6  assertthat_0.2.1 colorspace_1.4-0
[37] labeling_0.3     stringi_1.2.4    lazyeval_0.2.1   munsell_0.5.0   
[41] crayon_1.3.4