The analysis of cross-classified data having ordered and/or unordered categories: Association models, correlation models, and asymmetry models for contingency tables with or without missing entries. (English) Zbl 0613.62070

Goodman, Leo A.

Ann. Stat. 13, 10-69 (1985).

Three different cross-classification tables studied by several authors are used to illustrate a variety of mathematical models for cross- classification tables and statistical techniques appropriate for each mathematical model.

Reviewer: L.Weiss

MSC:

62H17	Contingency tables
62H20	Measures of association (correlation, canonical correlation, etc.)

Keywords:

row scores; column scores; association models; correlation models; generalized bivariate normal; generalized bivariate multinomial distributions; canonical correlation; correspondence analysis; generalized symmetry models; generalized independence models; maximum- likelihood estimation; missing observations; ordered and unordered categories; cross-classification