Recent Extensions to the Cochran–Mantel–Haenszel Tests

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 whe...

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Bibliographic Details
Published in:Stats (Basel, Switzerland) Switzerland), 2018-12, Vol.1 (1), p.98-111
Main Authors: Rayner, J., Rippon, Paul
Format: Article
Language:English
Subjects:
Hypotheses
Random variables
Statistics
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Summary: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.
ISSN:2571-905X
2571-905X
DOI:10.3390/stats1010008