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An Overview of New Results in Cochran–Mantel–Haenszel Testing
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Version 1
: Received: 28 June 2018 / Approved: 28 June 2018 / Online: 28 June 2018 (12:44:08 CEST)
A peer-reviewed article of this Preprint also exists.
Rayner, J.C.W.; Rippon, P. Recent Extensions to the Cochran–Mantel–Haenszel Tests. Stats 2018, 1, 98-111. Rayner, J.C.W.; Rippon, P. Recent Extensions to the Cochran–Mantel–Haenszel Tests. Stats 2018, 1, 98-111.
Abstract
The Cochran–Mantel–Haenszel (CMH) methodology is a suite of tests applicable to particular tables of count data. Inference is conditional on the treatment and outcome totals on each stratum being known before sighting the data. The CMH tests are important for analyzing randomised blocks data when the responses are categorical rather than continuous. This overview will first review the traditional CMH tests and then explore 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
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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