MIDN (version 1.0)

fisher_boschloo_midN: Nearly exact sample size calculation for the Fisher-Boschloo test for differences between independent 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

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