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Categorical Data Analysis Using The SAS® System, 2nd Edition by Gary G. Koch, Charles S. Davis, Maura E. Stokes

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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 
Group12...rTotal
1nh11nh12...nh1rnh1+
2nh21nh22...nh2rnh2+
 
snhs1nhs2...nhsrnhs+
Totalnh+1nh+2...nh+rnh

Under the assumption that the marginal totals nhi+ and nh+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 nhij is the number of subjects ...

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