# p.tpm: CDF of truncated product method statistic under the null... In TFisher: Optimal Thresholding Fisher's P-Value Combination Method

## Description

CDF of truncated product method statistic under the null hypothesis.

## Usage

 `1` ```p.tpm(q, n, tau1, M = NULL) ```

## Arguments

 `q` - quantile, could be a vector. `n` - dimension parameter, i.e. the number of p-values to be combined. `tau1` - truncation parameter. 0 < tau1 <= 1. `M` - correlation matrix of the input statistics. Default = NULL assumes independence.

## Value

The left-tail probability of the null distribution of truncated product method statistic at the given quantile.

## References

1. Hong Zhang and Zheyang Wu. "TFisher Tests: Optimal and Adaptive Thresholding for Combining p-Values", submitted.

2. Zaykin, D.V., Zhivotovsky, L. A., Westfall, P.H. and Weir, B.S. (2002), Truncated product method for combining P-values. Genet. Epidemiol., 22: 170–185. doi:10.1002/gepi.0042

`stat.tpm` for the definition of the statistic.

## Examples

 ```1 2 3 4 5``` ```pval <- runif(100) tpmstat <- stat.tpm(p=pval, tau1=0.05) p.tpm(q=tpmstat, n=100, tau1=0.05) M = matrix(0.3,100,100) + diag(1-0.3,100) p.tpm(q=tpmstat, n=100, tau1=0.05, M=M) ```

### Example output

```[1] 0.3806284
[1] 0.6116182
```

TFisher documentation built on May 2, 2019, 12:20 p.m.