Fisher's Exact and Barnard's Tests

Andrés, Antonio Martín

doi:10.1002/0471667196.ess0642

Cited by 1 publication

(3 citation statements)

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“…The determining of the p value P j of an observed table

) is the same as in Model 2, but now the calculations are more complicated because the nuisance parameters must be eliminated (the marginal probabilities of rows and columns under H j ). Again there are many possible test statistics [ 1 , 21 ], although none of them is UMP compared to the others. The generally more powerful statistic is again Barnard's B j statistic [ 22 ] and, as far as we know, the only program to apply it is TMP.EXE which may be obtained free of charge at http://www.ugr.es/local/bioest/software.htm .…”

Section: Hypothesis Testmentioning

confidence: 99%

“…The exact and the asymptotic analyses of a 2 × 2 table have their roots in the origins of statistics, and hundred of papers have been devoted to the problem [ 1 ]. It is traditional to carry out the exact independence test using the Fisher exact test, which is a conditional test (because it assumes that the marginals of the rows and columns are previously fixed).…”

Section: Introductionmentioning

confidence: 99%

“…However, the unconditional exact tests have the great disadvantage of being very laborious to compute. An overall view of the problem can be seen in Martín Andrés [ 1 , 6 ].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Conditional and Unconditional Tests (and Sample Size) Based on Multiple Comparisons for Stratified 2 × 2 Tables

Andrés

Tejedor

Hernández

2015

Computational and Mathematical Methods in Medicine

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The Mantel-Haenszel test is the most frequent asymptotic test used for analyzing stratified 2 × 2 tables. Its exact alternative is the test of Birch, which has recently been reconsidered by Jung. Both tests have a conditional origin: Pearson's chi-squared test and Fisher's exact test, respectively. But both tests have the same drawback that the result of global test (the stratified test) may not be compatible with the result of individual tests (the test for each stratum). In this paper, we propose to carry out the global test using a multiple comparisons method (MC method) which does not have this disadvantage. By refining the method (MCB method) an alternative to the Mantel-Haenszel and Birch tests may be obtained. The new MC and MCB methods have the advantage that they may be applied from an unconditional view, a methodology which until now has not been applied to this problem. We also propose some sample size calculation methods.

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“…The determining of the p value P j of an observed table

Section: Hypothesis Testmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%