# q.soft: Quantile of soft-thresholding Fisher's p-value combination... In TFisher: Optimal Thresholding Fisher's P-Value Combination Method

## Description

Quantile of soft-thresholding Fisher's p-value combination statistic under the null hypothesis.

## Usage

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

## Arguments

 `p` - a scalar left probability that defines the quantile. `n` - dimension parameter, i.e. the number of input p-values. `tau1` - truncation parameter=normalization parameter. tau1 > 0. `M` - correlation matrix of the input statistics. Default = NULL assumes independence.

## Value

Quantile of soft-thresholding Fisher's p-value combination statistic.

## References

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

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

## Examples

 ```1 2 3 4``` ```## The 0.05 critical value of soft-thresholding statistic when n = 10: q.soft(p=.99, n=20, tau1 = 0.05) M = matrix(0.9,20,20) + diag(1-0.9,20) q.soft(p=.99, n=20, tau1 = 0.05, M=M) ```

### Example output

```[1] 12.18458
[1] 50.97565
```

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