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

Appendix A: Statistical Methodology for Weighted Least Squares

Consider the general contingency table displayed in Table 13.16, where s represents the number of rows, or groups, in the table, and r represents the number of responses.

Table 13.16. Underlying Contingency Table

	Response
Group	1	2	...	r	Total
1	n11	n12	...	n1r	n1+
2	n21	n22	...	n2r	n2+
...	...	...	...	...	...
s	ns1	ns2	...	nsr	ns+

The proportion of subjects in the ith group who have the jth response is written

p_ij = n_ij/n_i+

Suppose represents the vector of responses for the ith subpopulation. If , then n follows ...