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Cochran-Mantel-Haenszel tests for the completely randomised design

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posted on 2025-05-09, 00:25 authored by John RaynerJohn Rayner
When data for a completely randomised design are categorical rather than continuous, the Cochran–Mantel–Haenszel suite of tests may be applied, albeit that there is only one stratum. In introductory design courses this design, and the randomised block design, are usually the first designs introduced. Using the completely randomised design instead of the randomised block design ignores blocks (strata) and results in expressions for the tests statistics that are simpler than if the usual general test statistics are applied. Based on models given here, the usual Cochran–Mantel–Haenszel tests for the completely randomised design are shown to be Wald-type tests.

History

Journal title

Journal of the Korean Statistical Society

Volume

50

Issue

1

Pagination

185-197

Publisher

Springer

Language

  • en, English

College/Research Centre

Faculty of Science

School

School of Mathematical and Physical Sciences

Rights statement

This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s42952-020-00068-3.

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