Multiple Testing procedures

Description

Ho: μ_{1j}-μ_{2j} = 0

Ha: μ_{1j}-μ_{2j} > 0

Usage

1
Multiple.Testing(s1, s2, m, p, D, delta, BCS, pho, K, alpha, beta)

Arguments

s1

We use bisection method to find the sample size, which let the equation h(n)=0. Here s1 and s2 are the initial value, 0 < s1 < s2. h(s1) should be smaller than 0.

s2

s2 is also the initial value, which is larger than s1 and h(s2) should be larger than 0.

m

m is the total number of multiple tests

p

p=n1/n. n1 is the sample size for group 1, n2 is the sample size for group 2, n=n1+n2.

D

D is the number of predictive genes.

delta

δ_j is the fix effect size among the predictive genes. We assume δ_j = delta, j =1,...,D and δ_j =0, j =D+1,....,m.

BCS

BCS means block compound symmetry, which is the length of each blocks. If we only have one block, BCS=m, which is refer to compound symmetry(CS).

pho

pho is the correlation parameter. If j and j' in the same block, ρ_{jj'}=pho ; otherwise ρ_{jj'} = 0 .

K

K is the number of replicates for the simulation.

alpha

here alpha is the adjusted Familywise error rate (FWER)

beta

here power is a global power. power=1-beta

References

Chow SC, Shao J, Wang H. Sample Size Calculation in Clinical Research. New York: Marcel Dekker, 2003

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