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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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16.3. Three-Way Contingency Tables

16.3.1. Mutual, Joint, Marginal, and Conditional Independence

Consider a three-dimensional table containing the cross-classification of variables X, Y, and Z. The distributions of X, Y cell counts at different levels of Z can be displayed using cross-sections of the three-way table. These cross-sections are called partial tables. In the partial tables, the value of Z is held constant.

For example, Section 3.2.2 of Chapter 3 discusses health policy opinion data with variables X=stress, Y=opinion, and Z=residence. Table 16.7 displays the two partial tables of the stress × opinion cross-classification for subjects from urban and rural residences.

Table 16.7. Partial Tables for Health Policy Opinion Data
  Opinion ...

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