A Comprehensive Review of the Two-Sample Independent or Paired Binary Data, with or without Stratum Effects
JOURNAL OF MODERN APPLIED STATISTICAL METHODS(2016)
摘要
Various statistical hypotheses testing for discrete or categorical or binary data have been extensively discussed in the literature. A comprehensive review is given for the two-sample binary or categorical data testing methods on data with or without Stratum Effects. The review includes traditional methods such as Fisher's Exact, Pearson's Chi-Square, McNemar, Bowker, Stuart-Maxwell, Breslow-Day and, Cochran-Mantel-Haenszel, as well as newly developed ones. We also provide the roadmap, in a figure or diagram format to which methods are available in the literature. In addition, the implementation of these methods in popular statistical software packages such as SAS and/or R is also presented. This will be helpful for researchers to determine which (categorical-data) testing method is available to use in various fields of study such as clinical trials, epidemiology, etc., both for the design phase of a study in prospective study, cross-sectional or retrospective study analysis.
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关键词
Cochran-Mantel-Haenszel (CMH) test,common odds ratio (OR),common risk difference (CRD),homogeneous stratum effect (HSE),McNemar's test,paired binary data,stratified data,Bowker's test,marginal homogeneity,stratified test,Stuart-Maxwell's test,symmetry,Fisher's exact test,chi-squared test
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