Recent Extensions to the Cochran–Mantel–Haenszel Tests
1
National Institute for Applied Statistics Research Australia, University of Wollongong, Wollongong 2522, Australia
2
School of Mathematical and Physical Sciences, University of Newcastle, Newcastle 2308, Australia
*
Author to whom correspondence should be addressed.
Stats 2018, 1(1), 98-111; https://doi.org/10.3390/stats1010008
Received: 28 June 2018 / Revised: 19 September 2018 / Accepted: 19 September 2018 / Published: 26 September 2018
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.
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Keywords:
generalised correlations; orthonormal polynomials; randomised block designs; umbrella effects
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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MDPI and ACS Style
Rayner, J.C.W.; Rippon, P. Recent Extensions to the Cochran–Mantel–Haenszel Tests. Stats 2018, 1, 98-111.
AMA Style
Rayner JCW, Rippon P. Recent Extensions to the Cochran–Mantel–Haenszel Tests. Stats. 2018; 1(1):98-111.
Chicago/Turabian StyleRayner, J. C.W.; Rippon, Paul. 2018. "Recent Extensions to the Cochran–Mantel–Haenszel Tests" Stats 1, no. 1: 98-111.
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