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

16.2. Two-Way Contingency Tables

16.2.1. Loglinear Model for the 2 × 2 Table

Table 16.1 displays the 2 × 2 table of frequencies resulting from the cross-classification of a row variable X and a column variable Y, each with two levels. Chapter 2 discusses tests and estimators of association for 2 × 2 contingency tables arising from several different sampling frameworks described in Section 2.1. In this chapter, attention focuses on tables representing a simple random sample from one population. Therefore, the cross-classification of the two binary responses X and Y yields a single multinomial distribution with total sample size n and cell probabilities π_ij displayed in Table 16.2.

Table 16.1. Cell Counts in a 2 × 2 Contingency Table

	Level of ...