A Nonrandomized Unconditional Test for Comparing Two Proportions in 2×2 Contigency Tables

McDonald, Lyman L.; Davis, B. M.; Milliken, George A.

doi:10.2307/1268624

Cited by 43 publications

(2 citation statements)

References 2 publications

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“…Fisher's exact test, the criterion used by McDonald, Davis and Milliken (1977) in their unconditional approach. The conservativeness of Fisher's exact test is evident; its actual size in this case being approximately .02.…”

Section: X=0mentioning

confidence: 99%

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Exact unconditional tests for 2x2 contingency tables / by Samy Salomon Suissa.

Suissa¹

1982

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The so-called "exact" conditional tests are very popular for testing hypotheses in the presence of nuisance parameters. However, in the context of discrete distributions, they must be supplemented with randomization to become exactly of size a, the nominal significance level. This practice is undesirable since irrelevant events should not affect one's decision. Consequently, the conditional test without randomization, while still called "exact," becomes conservative. As an unconditional alternative, a methodology is developed to compute the exact size of any test when the null power function is of a given form. This approach is a way of catering to the worst possible configuration of the nuisance parameter by maximizing the null power function over the domain of the nuisance parameter. As special cases, the * attained power 1-3. Therefore, Table A. 5 is sufficient for

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Section: X=0mentioning

confidence: 99%

“…The criterion that he suggested was intricate and no methodology for computing the size was given. McDonald,Davis and Milliken (1977) tabulated critical regions based on the unconditional size of Fisher's exact test for n<;15 and a=.01 and .05.…”

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confidence: 99%

Exact unconditional tests for 2x2 contingency tables / by Samy Salomon Suissa.

Suissa¹

1982

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Two‐By‐Two Table

Haber

2005

Encyclopedia of Biostatistics

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This article summarizes the most commonly used statistical techniques for analyzing two by two frequency tables. It presents methods for the estimation of measures of association (risk ratios, risk differences, odds ratios) and agreement (kappa). Tests of hypotheses are described for large samples (based on asymptotic theory) and for small samples (exact tests). Both conditional (Fisher's exact test) and unconditional exact tests are discussed, and the controversy regarding the use of conditional versus unconditional tests is summarized. The article advocates the use of the mid p ‐value exact test for small sample sizes. Methods for the determination of sample sizes for tests on two by two tables are also described.

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Fisher's Exact and Barnard's Tests

Andrés¹

2005

Encyclopedia of Statistical Sciences

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A Nonrandomized Unconditional Test for Comparing Two Proportions in 2×2 Contigency Tables

Cited by 43 publications

References 2 publications

Exact unconditional tests for 2x2 contingency tables / by Samy Salomon Suissa.

Exact unconditional tests for 2x2 contingency tables / by Samy Salomon Suissa.

Two‐By‐Two Table

Fisher's Exact and Barnard's Tests

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