fisher_boschloo_midN: Nearly exact sample size calculation for the Fisher-Boschloo...

In MIDN: Nearly Exact Sample Size Calculation for Exact Powerful Nonrandomized Tests for Differences Between Binomial Proportions

Description

The function computes the exact sample sizes required in the randomized UMPU test and its conservative nonrandomized version for attaining prespecified power. In a final step, the mean of both quantities is output as an nearly exact value required in the Fisher-Boschloo test, a powerful nonrandomized version of the exact Fisher-type test.

Usage

fisher_boschloo_midN(alpha, SW, p1, p2, POWO, mton_a, mton_b)

Arguments

alpha	target significance level
SW	step width for increasing p2 in the search for the size of a given critical region in the sample space of (X,Y)
p1	true value of the responder rate for Population 1
p2	true value of the responder rate for Population 2
POWO	power to be obtained against the alternative (p1,p2)
mton_a	desired ratio of sample sizes: numerator
mton_b	desired ratio of sample sizes: denominator

Value

mstart	initial value of 1st sample size
nstart	initial value of 2nd sample size
Mex	size of Sample 1 for randomized UMPU test
Nex	size of Sample 2 for randomized UMPU test
POWEX	power of randomized UMPU test attained with m=Mex,n=Nex
Mnr	size of Sample 1 for conservative nonrandomized Fisher-type test
Nnr	size of Sample 2 for conservative nonrandomized Fisher-type test
POWNR	power of conservative nonrandomized Fisher-type test attained with m=Mnr,n=Nnr
midN_m	nearly exact size of Sample 1 for Boschloo-Fisher test
midN_n	nearly exact size of Sample 1 for Boschloo-Fisher test

Author(s)

Stefan Wellek <[e-mail]>
Peter Ziegler <[e-mail]>

References

Wellek S: Nearly exact sample size calculation for powerful nonrandomized tests for differences between binomial proportions. Statistica Neerlandica 69 (2015), 358-373.

Examples

result1 <- fisher_boschloo_midN(0.025,0.0001,0.95,0.8,0.8,2,1)
POWEX <- result1[5]
result1  # shows values of vector result1
POWEX    # shows value of POWEX

MIDN documentation built on May 2, 2019, 2:40 a.m.