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- Copyright
- © 1985 Royal Statistical Society
- ISSN
- 0964-1998
- eISSN
- 1467-985X
- DOI
- 10.2307/2981892
- Publisher site
- See Article on Publisher Site
Abstract
SummaryExact attained significance level and sample size methods are developed for use with the unconditional Z statistic in the 2 times 2 contingency table from two independent binomial samples of equal size. The resulting sample sizes tend to be smaller than those required by tables for the exact conditional test. Moreover, the proposed exact Z test is uniformly more powerful than the exact conditional test for α = 0.01, 0.025 and 0.05, and common sample size n = 10(1)150, the only combinations of α and n considered herein. These methods therefore provide an exact approach to unconditional tests which, in contrast to the conditional ones, are easily explained to and under-stood by non-statisticians. This paper is the first for which sample size calculations are made based on exact unconditional tests for any situation in which no ancillary statistic exists for the nuisance parameter.
Journal
Journal of the Royal Statistical Society Series A (Statistics in Society) – Oxford University Press
Published: Dec 5, 2018
Keywords: ancillary statistics; conditionality principle; exact unconditional test; fisher’s exact test; power; two by two contingency tables