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SummaryThis paper reviews the problems that bedevil the selection of an appropriate test for the analysis of a 2 times 2 table. In contradiction to an earlier paper, the author now argues the case for the use of Fisher’s exact test. It is noted that all test statistics for the 2 times 2 table have discrete distributions and it is suggested that it is irrational to prescribe an unattainable fixed significance level. The use of mid-p is suggested, if a formula is required for prescribing a variable tail probability. The problems of two-tail tests are discussed.
Journal of the Royal Statistical Society Series A (Statistics in Society) – Oxford University Press
Published: Dec 5, 2018
Keywords: goodness of fit; mid- p; significance; test procedures; two-tailed tests; 2 times 2 table
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