Nearly exact sample size calculation for powerful non-randomized tests for differences between binomial proportions

In the case of two independent samples, it turns out that among the procedures taken in consideration, BOSCHLOO'S technique of raising the nominal level in the standard conditional test as far as admissible performs best in terms of power against almost all alternatives. The computational burde...

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Main Author: Wellek, Stefan (Author)
Format: Article (Journal)
Language:English
Published: 23 March 2015
In: Statistica Neerlandica
Year: 2015, Volume: 69, Issue: 4, Pages: 358-373
ISSN:1467-9574
DOI:10.1111/stan.12063
Online Access:Verlag, Volltext: http://dx.doi.org/10.1111/stan.12063
Verlag, Volltext: http://onlinelibrary.wiley.com.ezproxy.medma.uni-heidelberg.de/doi/10.1111/stan.12063/abstract
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Author Notes:Stefan Wellek

MARC

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520 |a In the case of two independent samples, it turns out that among the procedures taken in consideration, BOSCHLOO'S technique of raising the nominal level in the standard conditional test as far as admissible performs best in terms of power against almost all alternatives. The computational burden entailed in exact sample size calculation is comparatively modest for both the uniformly most powerful unbiased randomized and the conservative non-randomized version of the exact Fisher-type test. Computing these values yields a pair of bounds enclosing the exact sample size required for the Boschloo test, and it seems reasonable to replace the exact value with the middle of the corresponding interval. Comparisons between these mid-N estimates and the fully exact sample sizes lead to the conclusion that the extra computational effort required for obtaining the latter is mostly dispensable. This holds also true in the case of paired binary data (McNemar setting). In the latter, the level-corrected score test turns out to be almost as powerful as the randomized uniformly most powerful unbiased test and should be preferred to the McNemar-Boschloo test. The mid-N rule provides a fairly tight upper bound to the exact sample size for the score test for paired proportions. 
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650 4 |a nuisance parameter 
650 4 |a score statistic 
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