CATS
joint power of a non-symetric two stage GWA design
R package for power estimation for a two-stage genome-wide association design. This is a modification of the code from Skol et al 2006, nat genet. so that the relative risk, case-control ratios and allele frequencies are allowed to vary between stages.
Download and installation
plot examples
Which design is better
library(CATS) rr<-seq(1,2,by=0.05) maf<-c(0.05,0.1,0.2,0.5) c2<-curve.cats(rr,maf,ncases=600,ncontrols=600,ncases2=600,ncontrols2=600,alpha=0.000001,prevalence=0.01); plot(c2,type="One",main="power2",ylab="Power",xlab="RR",file=NULL,col=1:4) lines.cats(c2,type="Replication",lty=3) lines.cats(c2,type="Joint",lty=2) lines.cats(c2,type="First",lty=4) legend("left",c("One stage","Joint","Relication","First Stage"),lty=1:4,bty="n")
Number of SNPs for replication
library(CATS) power.J96<-c() power.J1536<-c() RR<-seq(1.1,1.5,by=0.025) maf=c(5,10,20,50)/100 for(tal2 in 1:length(maf)){ J1<-c() J2<-c() for(tal in 1:length(RR)){ temp<-cats(freq=maf[tal2],ncases=1500,ncontrols=1500,ncases2=2000,ncontrols2=2000,risk=RR[tal],pimarkers = 96/300000,alpha=0.05/300000) J1[tal]<-temp$P.joint temp<-cats(freq=maf[tal2],ncases=1500,ncontrols=1500,ncases2=2000,ncontrols2=2000,risk=RR[tal],pimarkers = 1536/300000,alpha=0.05/300000) J2[tal]<-temp$P.joint } power.J96<-cbind(power.J96,J1) power.J1536<-cbind(power.J1536,J2) } col=1:length(maf) plot(RR,power.J1536[,1],type=type,lwd=2,ylab="Power",main="Multiplicative model, 1500:1500, 2000:2000",col=col[1],ylim=0:1) for(tal2 in 2:length(maf)){ lines(RR,power.J1536[,tal2],lwd=2,col=col[tal2],type=type) } for(tal2 in 1:length(maf)){ lines(RR,power.J96[,tal2],lwd=2,col=col[tal2],type=type,lty=2) } legend("bottomright",c(paste("MAF=",c(maf),", rep=1536"),paste("MAF=",c(maf),", rep=96")),col=col,lwd=2,bty="n",lty=c(rep(1,length(maf)),rep(2,length(maf))))
heatmap of power
library(CATS) source("superCATS.R") rr<-seq(1,2,by=0.025) c<-super.cats(rr,by=length(rr),ncases=765,ncontrols=1274,ncases2=100,ncontrols2=100,alpha=0.001,prevalence=0.01); bitmap("PowerFig3.png") plot(c,main="power",file=NULL)
design and MAF
library(CATS) source("superCATS.R") rr<-seq(1,2,by=0.05) maf<-c(0.05,0.1,0.2,0.5) c2<-curve.cats(rr,maf,ncases=600,ncontrols=600,ncases2=600,ncontrols2=600,alpha=0.000001,prevalence=0.01); plot(c2,type="One",main="power2",ylab="Power",xlab="RR",file=NULL,col=1:4) lines.cats(c2,type="Replication",lty=3) lines.cats(c2,type="Joint",lty=2) lines.cats(c2,type="First",lty=4) legend("left",c("One stage","Joint","Relication","First Stage"),lty=1:4,bty="n")