Description Usage Arguments Value Author(s) References Examples
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.
1 | McNem_Score_midn(alpha, SW, ppl, pmi, POWO)
|
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) |
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 |
Stefan Wellek <stefan.wellek@zi-mannheim.de>
Peter Ziegler <peter.ziegler@zi-mannheim.de>
Wellek S: Nearly exact sample size calculation for powerful nonrandomized tests for differences between binomial proportions. Statistica Neerlandica 69 (2015), 358-373.
1 2 3 4 | 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
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