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Little Green Book

Chapter 3. Loglinear Model Review

Loglinear models (LLMs) are used to analyze data from a multi-way contingency table. There are several good books to which the reader can refer, including Agresti (2002), Bishop et al. (1975), Christensen (1990), Knoke and Burke (1980), and Wickens (1989). In this chapter, a brief review of the LLM will be given, starting with the two-way table and proceeding to the multi-way table. Consider the I × J contingency table for the two variables X (row) and Y (column). We have seen that X and Y are statistically independent if Then, Let μ ij = n π ij represent the expected cell frequency in the i th row and j th column. Under the model of independence, where μ i + = n π i + represents the marginal expected frequency for the i th row and μ + j = n π + j represents the marginal expected j ...

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