# p.tfisher.omni: CDF of omnibus thresholding Fisher's p-value combination... In TFisher: Optimal Thresholding Fisher's P-Value Combination Method

## Description

CDF of omnibus thresholding Fisher's p-value combination statistic under the null hypothesis.

## Usage

 `1` ```p.tfisher.omni(q, n, TAU1, TAU2, M = NULL, P0 = NULL) ```

## Arguments

 `q` - quantile, could be a vector. `n` - dimension parameter, i.e. the number of p-values to be combined. `TAU1` - a vector of truncation parameters. Must be in non-descending order. `TAU2` - a vector of normalization parameters. Must be in non-descending order. `M` - correlation matrix of the input statistics. Default = NULL assumes independence. `P0` - a vector of point masses of TFisher statistics. Default = NULL.

## Value

The left-tail probability of the null distribution of omnibus 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.

## See Also

`stat.tfisher.omni` for the definition of the statistic.

## Examples

 ```1 2 3 4 5 6``` ```q = 0.05 n = 20 TAU1 = c(0.01, 0.05, 0.5, 1) TAU2 = c(0.1, 0.2, 0.5, 1) M = matrix(0.3,20,20) + diag(1-0.3,20) p.tfisher.omni(q=q, n=n, TAU1=TAU1, TAU2=TAU2, M=M) ```

### Example output

``` 0.09363041
```

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