Categorical Data Analysis Using The SAS® System, 2nd Edition

6.2. General Mantel-Haenszel Methodology

Table 6.1 represents the generic s × r table in a set of q s × r tables.

Table 6.1. hth s × r Contingency Table

	Response Variable Categories
Group	1	2	...	r	Total
1	nh11	nh12	...	nh1r	nh1+
2	nh21	nh22	...	nh2r	nh2+
⋮	⋮	⋮		⋮	⋮
s	nhs1	nhs2	...	nhsr	nhs+
Total	nh+1	nh+2	...	nh+r	nh

Under the assumption that the marginal totals n_hi+ and n_h+j are fixed, the overall null hypothesis of no partial association can be stated as follows:

For each of the levels of the stratification variable h = 1,2,...,q, the response variable is distributed at random with respect to the groups (row variable levels).

Suppose , where n_hij is the number of subjects ...