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Test of Independence Against a Class of Ordered Alternatives in an R × C Contingency Table
Author(s) -
Oluyede Broderick O.
Publication year - 1994
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710360806
Subject(s) - contingency table , independence (probability theory) , mathematics , test (biology) , contingency , class (philosophy) , table (database) , statistics , statistical hypothesis testing , econometrics , computer science , data mining , epistemology , artificial intelligence , biology , paleontology , philosophy
Test procedures are developed for testing the hypotheses of independence in a two‐way contingency table against a class of ordered alternatives defined in terms of pooled crossproduct ratios. The alternatives hypotheses of “positive dependence” defines new notions of dependence. The distribution of the test statistics is obtained. Admissibility of the test is deduced and power comparison with some known test procedures are given. A numerical example is presented to illustrate the techniques developed.