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A modified chi‐square test of independence against a class of ordered alternatives in an r x c contingency table
Author(s) -
Oluyede Broderick O.
Publication year - 1994
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315824
Subject(s) - contingency table , mathematics , chi square test , test statistic , statistic , test (biology) , statistics , combinatorics , humanities , statistical hypothesis testing , philosophy , paleontology , biology
A modified chi‐square test statistic is constructed for testing the hypothesis of independence in a two‐way contingency table against a class of ordered alternatives defined in terms of pooled cross‐product ratios. The test procedure can also be used to test for positive quadrant dependence in a two‐way contingency table. The asymptotic distribution of the test statistic under the null hypothesis is obtained. Some power comparisons with known test procedures are given. A numerical example is given to illustrate the use of this test.