A modified chi‐square test of independence against a class of ordered alternatives in an  r  x c contingency table | Zendy

Oluyede Broderick O. | Zendy

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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.

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