Recent Extensions to the Cochran–Mantel–Haenszel Tests

J. C. W. Rayner and Paul Rippon
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J. C. W. Rayner: National Institute for Applied Statistics Research Australia, University of Wollongong, Wollongong 2522, Australia
Paul Rippon: School of Mathematical and Physical Sciences, University of Newcastle, Newcastle 2308, Australia

Stats, 2018, vol. 1, issue 1, 1-14

Abstract: The Cochran–Mantel–Haenszel (CMH) methodology is a suite of tests applicable to particular tables of count data. The inference is conditional on the treatment and outcome totals on each stratum being known before sighting the data. The CMH tests are important for analysing randomised blocks data when the responses are categorical rather than continuous. This overview of some recent extensions to CMH testing first describes the traditional CMH tests and then explores new alternative presentations of the ordinal CMH tests. Next, the ordinal CMH tests will be extended so they can be used to test for higher moment effects. Finally, unconditional analogues of the extended CMH tests will be developed.

Keywords: generalised correlations; orthonormal polynomials; randomised block designs; umbrella effects (search for similar items in EconPapers)
JEL-codes: C1 C10 C11 C14 C15 C16 (search for similar items in EconPapers)
Date: 2018
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