McNem_Score_midn: Nearly exact sample size calculation for the level-corrected...

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

Description

Again, the function computes the exact sample sizes required in the randomized UMPU test and its conservative nonrandomized counterepart for attaining prespecified power. However, in contrast to the parallel group setting, the midpoint of the interval between these two numbers shall now used as an nearly exact value of the number of pairs to be observed in the asymptotic test based on the score-statistic corrected for possible exceedances of the nominal significance level.

Usage

McNem_Score_midn(alpha, SW, ppl, pmi, POWO)

Arguments

alpha	target significance level, 1-sided
SW	width of search grid for determining the size of a given critical region in the sample space of N+ [= number of pairs with (Xi,Yi) = (1,0)] and N0 [= number of tied pairs]
ppl	true value of Pr[(X,Y) = (1,0)]
pmi	true value of Pr[(X,Y) = (0,1)]
POWO	power to be attained in the level-corrected score test against the alternative (ppl,pmi)

Value

nstart	initial value for the iteration algorithm
Nex	sample size required in the exact randomized McNemar test
POWEX	power of the exact randomized McNemar test performed with Nex pairs
Nnr	sample size required in the conservative nonrandomized McNemar test
POWNR	power of the nonrandomized McNemar test performed with Nnr pairs
mid_n	midpoint of the interval [Nex,Nnr], rounded to the next integer

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

result2 <- McNem_Score_midn(0.025,0.0001,0.585,0.315,0.9)
POWEX <- result2[3]
result2  # shows values of vector result2
POWEX    # shows value of POWEX

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