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# robs.test <- function() {
# n <- 100
# p <- 200
#
# set.seed(11332)
#
# y <- matrix(rnorm(n),ncol=1) # rand N(0,1) response
# X <- matrix(rnorm(p*n),ncol = p) # p rand N(0,1) predictors
#
# X=scale(X,T,T)/sqrt(n-1)
# lambda=1
# sigma = estimateSigma(X,y)$sigmahat
#
# las <- glmnet(X,y,family="gaussian",alpha=1,standardize=F,intercept=T)
# hbeta <- as.numeric(coef(las,x=X,y=y,s=lambda/n,exact=TRUE,intercept=T))
#
#
# return(fixedLassoInf(X,y,hbeta[-1],lambda,family="gaussian",type="partial",intercept=T,sigma=sigma))
# }
#
#
# ## Tests partial inf for X and y randomly generated from N(0,1)
# nullTest <- function(X,y,lambda,intercept,type=c("full","partial")) {
# n=nrow(X)
# X=scale(X,T,T)/sqrt(n-1)
#
# sigma = estimateSigma(X,y)$sigmahat
#
# las <- glmnet(X,y,family="gaussian",alpha=1,standardize=F,intercept=intercept)
# hbeta <- as.numeric(coef(las,x=X,y=y,s=lambda/n,exact=TRUE,intercept=intercept))
#
# if (type=="partial" || intercept==F) hbeta = hbeta[-1]
#
# return(fixedLassoInf(X,y,hbeta,lambda,family="gaussian",type=type,intercept=intercept,sigma=sigma))
# }
#
# ## Test partial inf for X and y where 10 variables are y with random additive N(0,0.5) noise
# corrTest <- function(X,y,lambda,intercept,type=c("full","partial")) {
# n=nrow(X)
# corr.X = rep(y,10) + matrix(rnorm(n*10,0,0.5),ncol = 10)
# X = cbind(corr.X,X)
# X=scale(X,T,T)/sqrt(n-1)
#
# las <- glmnet(X,y,family="gaussian",alpha=1,standardize=F,intercept=intercept)
# hbeta <- as.numeric(coef(las,x=X,y=y,s=lambda/n,exact=TRUE,intercept=intercept))
#
# sigma = estimateSigma(X,y)$sigmahat
#
# if (type=="partial" || intercept==F) hbeta = hbeta[-1]
#
# return(fixedLassoInf(X,y,hbeta,lambda,family="gaussian",type=type,intercept=intercept,sigma=sigma))
# }
#
# ## QQ plot of p-values for all null data now that bug fix is implemented
# partial.qq.test <- function() {
# n <- 100
# p <- 200
#
# lambda=1
#
# null.int.pvs <- c()
# corr.int.pvs <- c()
# null.pvs <- c()
# corr.pvs <- c()
# for(i in 1:25) {
# y <- matrix(rnorm(n),ncol=1) # rand N(0,1) response
# X <- matrix(rnorm(p*n),ncol=p) # p rand N(0,1) predictors
#
# null <- nullTest(X,y,lambda,F,type="partial")
# corr <- corrTest(X,y,lambda,F,type="partial")
# null.pvs <- c(null.pvs,null$pv,recursive=T)
# corr.pvs <- c(corr.pvs,corr$pv,recursive=T)
# null.int <- nullTest(X,y,lambda,T,type="partial")
# corr.int <- corrTest(X,y,lambda,T,type="partial")
# null.int.pvs <- c(null.int.pvs,null.int$pv,recursive=T)
# corr.int.pvs <- c(corr.int.pvs,corr.int$pv,recursive=T)
# }
#
# qqplot(x=runif(length(null.pvs)),y=null.pvs,xlab="Expected",ylab="Observed",main="Partial Coef. Null X w/o Intercept")
# abline(0,1)
# qqplot(x=runif(length(corr.pvs)),y=corr.pvs,xlab="Expected",ylab="Observed",main="Partial Coef. 10 Corr. X w/o Intercept")
# abline(0,1)
# qqplot(x=runif(length(null.int.pvs)),y=null.int.pvs,xlab="Expected",ylab="Observed",main="Partial Coef. Null X w/ Intercept")
# abline(0,1)
# qqplot(x=runif(length(corr.int.pvs)),y=corr.int.pvs,xlab="Expected",ylab="Observed",main="Partial Coef. 10 Corr. X w/ Intercept")
# abline(0,1)
# }
#
# ## QQ plot of p-values for all null data now that bug fix is implemented
# pop.qq.test <- function() {
# n <- 100
# p <- 200
#
# lambda=1
#
# null.int.pvs <- c()
# corr.int.pvs <- c()
# null.pvs <- c()
# corr.pvs <- c()
# for(i in 1:25) {
# y <- matrix(rnorm(n),ncol=1) # rand N(0,1) response
# X <- matrix(rnorm(p*n),ncol=p) # p rand N(0,1) predictors
#
# null <- nullTest(X,y,lambda,F,type="full")
# corr <- corrTest(X,y,lambda,F,type="full")
# null.pvs <- c(null.pvs,null$pv,recursive=T)
# corr.pvs <- c(corr.pvs,corr$pv,recursive=T)
# null.int <- nullTest(X,y,lambda,T,type="full")
# corr.int <- corrTest(X,y,lambda,T,type="full")
# null.int.pvs <- c(null.int.pvs,null.int$pv,recursive=T)
# corr.int.pvs <- c(corr.int.pvs,corr.int$pv,recursive=T)
# }
#
# qqplot(x=runif(length(null.pvs)),y=null.pvs,xlab="Expected",ylab="Observed",main="Pop Coef. Null X w/o Intercept")
# abline(0,1)
# qqplot(x=runif(length(corr.pvs)),y=corr.pvs,xlab="Expected",ylab="Observed",main="Pop Coef. 10 Corr. X w/o Intercept")
# abline(0,1)
# qqplot(x=runif(length(null.int.pvs)),y=null.int.pvs,xlab="Expected",ylab="Observed",main="Pop Coef. Null X w/ Intercept")
# abline(0,1)
# qqplot(x=runif(length(corr.int.pvs)),y=corr.int.pvs,xlab="Expected",ylab="Observed",main="Pop Coef. 10 Corr. X w/ Intercept")
# abline(0,1)
# }
#
#
#
#
# ## QQ plot of p-values for data with correlated x now that bug fix implemented
# power.partial.pval.dist <- function(n,p,intercept=T,lambda=1) {
# pvs <- c()
# for(i in 1:10) {
# a <- powerPartialTest(n,p,intercept,lambda)
# ps <- a$pv
# pvs <- c(pvs,ps,recursive=T)
# }
# qqplot(x=runif(length(pvs)),y=pvs,xlab="Expected",ylab="Observed",main="Partial Coef. 10 Corr. X")
# abline(0,1)
# }
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