Glossary

Cochran-Mantel-Haenszel (CMH) test

Cochran-Mantel-Haenszel (CMH) test:

The Cochran-Mantel-Haenszel (CMH) test compares two groups on a binary response, adjusting for control variables. The initial data are represented as a series of K 2×2 contingency table s, where K is the number of strata. Traditionally, in each table the rows correspond to the “Treatment group” values (e.g “Placebo”, “Drug A”) and the columns to the “Response” values (e.g “No change,” “Improvement”).

The null hypothesis is that the response is conditionally independent of the treatment in any given strata.

The stratification of the subjects into K groups (according to the values of controlled variables – e.g. “Age group”) increases the power of the test to detect association. This increase in power comes from comparing like subjects to like subjects.

The CMH statistic is described by this formula:

M² =

(

ÃƒÂ¥
k

n_k11 –

ÃƒÂ¥
k

m_k11)²

Browse Other Glossary Entries

Test Yourself

Planning on taking an introductory statistics course, but not sure if you need to start at the beginning? Review the course description for each of our introductory statistics courses and estimate which best matches your level, then take the self test for that course. If you get all or almost all the questions correct, move on and take the next test.