Cochran-Mantel-Haenszel tests for the completely randomised design
2020, Korean Statistical Society. 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.
Rayner, J. (2020). Cochran-Mantel-Haenszel tests for the completely randomised design. Journal of the Korean Statistical Society,