q.soft {TFisher}

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

Description

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

Usage

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.

See Also

stat.soft for the definition of the statistic.

Examples

## 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)