Mantel-Haenszel procedure

There are also connections between the Cochran—Mantel—Haenszel procedures and logistic regression for binary and ordinal data, but these issues are beyond the scope of this text. 

Mantel N. Chi-square tests with one degree of freedom Extensions of the Mantel-Haenszel procedure. J. Am. Stat. Assoc. 58 690-700, 1963. 

In my opinion TESS makes an inappropriate use of baseline Information. If it is desired to use this information, then an alternative approach, which I recommend, is to stratify patients by presence or absence of symptoms at baseline and perform some suitable test, for example the Mantel-Haenszel procedure (Mantel and Haenszel, 1959). The basic situation is illustrated in Table 23.1. 

For binary, categorical and ordinal data there is also an approach which is a further form of the Mantel-Haenszel chi-square test. You will recall that the MH test is used for ordinal responses comparing two treatments. Well, this procedure generalises to allow ordering across the treatment groups in addition, for each of... 

The Cochran-Mantel-Haenszel (CMH) tests are a collection of procedures that extend the simple chi-squared tests introduced in Chapter 4 to incorporate the multicentre setting. Landis, Heyman and Koch (1978) provide further details. 

The formula for the test statistic is somewhat complex, but again this statistic provides the combined evidence in favour of treatment differences. When Mantel and Haenszel developed this procedure they calculated that when the treatments are identical the probabilities associated with its values follow a x i distribution. This is irrespective of the number of outcome categories, and the test is sometimes referred to as the chi-square one degree of freedom test for trend. 

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