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Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/36740

Title: Conditional and Unconditional Tests (and Sample Size) Based on Multiple Comparisons for Stratified 2 × 2 Tables
Authors: Martín Andrés, Antonio
Herranz Tejedor, Inmaculada
Álvarez Hernández, María
Issue Date: 2015
Abstract: The Mantel-Haenszel test is the most frequent asymptotic test used for analyzing stratified 2x2 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.
Sponsorship: This research was supported by the Ministerio de Economía y Competitividad, Spanish, Grant no. MTM2012-35591.
Publisher: Hindawi Publishing Corporation
Keywords: Mantel-Haenszel test
Birch test
Stratified test
Métodos estadísticos
Dichotomic qualities
Estadística médica
URI: http://hdl.handle.net/10481/36740
ISSN: 1748-670X
Citation: Martín Andrés, A.; Herranz Tejedor, I.; Álvarez Hernández, M. Conditional and Unconditional Tests (and Sample Size) Based on Multiple Comparisons for Stratified 2 × 2 Tables. Computational and Mathematical Methods in Medicine, 2015: 147038 (2015). []
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