Extensions to the Cochran-Mantel-Haenszel Mean Scores and Correlation Tests

Authors

J. C. W Rayner, University of WollongongFollow
Donald J. Best, University of NewcastleFollow

RIS ID

123236

Publication Details

Rayner, J. C.W. & Best, D. J. (2018). Extensions to the Cochran–Mantel–Haenszel Mean Scores and Correlation Tests. Journal of Statistical Theory and Practice, 12 (3), 561-574.

Abstract

The Cochran-Mantel-Haenszel (CMH) methodology is a suite of tests applicable to tables of count data. The traditional CMH tests assess association, mean, and correlation effects. Here, testing for mean effects is extended to testing for higher order moment effects. Of especial interest are dispersion effects, reflecting, for example, market segmentation in certain scenarios. Correlation testing is extended to testing for generalized correlations. Of especial interest are correlations of order (1, 2) and (2, 1), which may reveal umbrella effects.