tscc {gap} | R Documentation

## Power calculation for two-stage case-control design

### Description

This function gives power estimates for two-stage case-control design for genetic association.

The false positive rates are calculated as follows,

P(|z1|>C1)P(|z2|>C2,sign(z1)=sign(z2))

and

P(|z1|>C1)P(|zj|>Cj||z1|>C1)

for replication-based and joint analyses, respectively; where C1, C2, and Cj are threshoulds at stages 1, 2 replication and joint analysis,

z1 = z(p1,p2,n1,n2,pi.samples)

z2 = z(p1,p2,n1,n2,1-pi.samples)

zj = sqrt(pi.samples)*z1+sqrt(1-pi.samples)*z2

### Usage

    tscc(model,GRR,p1,n1,n2,M,alpha.genome,pi.samples,pi.markers,K)

### Arguments

`model` | any in c("multiplicative","additive","dominant","recessive")
`GRR` | genotype relative risk
`p1` | the estimated risk allele frequency in cases
`n1` | total number of cases
`n2` | total number of controls
`M` | total number of markers
`alpha.genome` | false positive rate at genome level
`pi.samples` | sample% to be genotyped at stage 1
`pi.markers` | markers% to be selected (also used as the false positive rate at stage 1)
`K` | the population prevalence

### Value

The returned value is a list containing a copy of the input plus output as follows,

`model` | any in c("multiplicative","additive","dominant","recessive")
`GRR` | genotype relative risk
`p1` | the estimated risk allele frequency in cases
`pprime` | expected risk allele frequency in cases
`p` | expected risk allele frequency in controls
`n1` | total number of cases
`n2` | total number of controls
`M` | total number of markers
`alpha.genome` | false positive rate at genome level
`pi.samples` | sample% to be genotyped at stage 1
`pi.markers` | markers% to be selected (also used as the false positive rate at stage 1)
`K` | the population prevalence
`C` | threshoulds for no stage, stage 1, stage 2, joint analysis
`power` | power corresponding to C

### References

Skol AD, Scott LJ, Abecasis GR, Boehkne M (2006). Joint analysis in more efficient than replication-based aalysis for two-stage genome-wide association studies. Nature Genetics 38:209-213

### Note

solve.skol is adapted from CaTS

### Author(s)

Jing Hua Zhao

### Examples

    K <- 0.1
    p1 <- 0.4
    n1 <- 1000
    n2 <- 1000
    M <- 300000
    alpha.genome <- 0.05
    GRR <- 1.4
    p1 <- 0.4
    pi.samples <- 0.2
    pi.markers <- 0.1

    options(echo=FALSE)
    cat("sample%,marker%,GRR,(thresholds x 4)(power estimates x 4)\n")
    for(GRR in c(1.3,1.35,1.40)) {
       cat("\n")
       for(pi.samples in c(1.0,0.5,0.4,0.3,0.2)) {
          if(pi.samples==1.0) s <- 1.0
          else s <- c(0.1,0.05,0.01)
          for(pi.markers in s)
          {
            x <- tscc("multiplicative",GRR,p1,n1,n2,M,alpha.genome,
                      pi.samples,pi.markers,K)
            l <- c(pi.samples,pi.markers,GRR,x$C,x$power)
            l <- sprintf("%.2f %.2f %.2f, %.2f %.2f %.2f %.2f, %.2f %.2f %.2f %.2f",
                         l[1],l[2],l[3],l[4],l[5],l[6],l[7],l[8],l[9],l[10],l[11])
            cat(l,"\n")
          }
          cat("\n")
       }
    }
    options(echo=TRUE)

[Package gap version 1.2.1 Index]