Statistica Sinica 5(1995), 767-780

A TEST OF QUASI-INDEPENDENCE IN ORDINAL

TRIANGULAR CONTINGENCY TABLES

Ming-Tien Tsai and Pranab K. Sen

Academia Sinica and University of North Carolina

Abstract: A new procedure for testing quasi-independence in an ordinal triangular contingency table is proposed as a generalization of Pearson's chi square test. The test is asymptotically equivalent in terms of power to the corresponding restricted likelihood ratio test for contiguous alternatives. Numerical results are also included in this study.

Key words and phrases: Chi square bar distribution, restricted likelihood ratio tests, positive likelihood ratio dependence.