fstdmix {lrstat}

Adjusted p-values for standard mixture gatekeeping procedures

Description

Obtains the adjusted p-values for the standard gatekeeping procedures for multiplicity problems involving serial and parallel logical restrictions.

Usage

fstdmix(
  p,
  family = NULL,
  serial,
  parallel,
  gamma,
  test = "hommel",
  exhaust = 1
)

Arguments

p

The raw p-values for elementary hypotheses.

family

The matrix of family indicators for the hypotheses.

serial

The matrix of serial rejection set for the hypotheses.

parallel

The matrix of parallel rejection set for the hypotheses.

gamma

The truncation parameters for each family. The truncation parameter for the last family is automatically set to 1.

test

The component multiple testing procedure. Options include "holm", "hochberg", or "hommel". Defaults to "hommel".

exhaust

Whether to use alpha-exhausting component testing procedure for the last family with active hypotheses. It defaults to TRUE.

Value

A matrix of adjusted p-values.

Author(s)

Kaifeng Lu, [e-mail]

References

Alex Dmitrienko and Ajit C Tamhane. Mixtures of multiple testing procedures for gatekeeping applications in clinical trials. Statistics in Medicine. 2011; 30(13):1473–1488.

Examples

p = c(0.0194, 0.0068, 0.0271, 0.0088, 0.0370, 0.0018, 0.0814, 0.0066)
family = matrix(c(1, 1, 0, 0, 0, 0, 0, 0,
                  0, 0, 1, 1, 0, 0, 0, 0,
                  0, 0, 0, 0, 1, 1, 0, 0,
                  0, 0, 0, 0, 0, 0, 1, 1),
                nrow=4, byrow=TRUE)

serial = matrix(c(0, 0, 0, 0, 0, 0, 0, 0,
                  0, 0, 0, 0, 0, 0, 0, 0,
                  1, 0, 0, 0, 0, 0, 0, 0,
                  0, 1, 0, 0, 0, 0, 0, 0,
                  0, 0, 1, 0, 0, 0, 0, 0,
                  0, 0, 0, 1, 0, 0, 0, 0,
                  0, 0, 0, 0, 1, 0, 0, 0,
                  0, 0, 0, 0, 0, 1, 0, 0),
                nrow=8, byrow=TRUE)

parallel = matrix(0, 8, 8)
gamma = c(0.6, 0.6, 0.6, 1)
fstdmix(p, family, serial, parallel, gamma, test = "hommel", exhaust = 0)