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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.4 No.1

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A STUDY OF SOME TESTS OF TREND IN CONTINGENCY TABLES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1997, v.4 no.1, pp.7-18
Jee, Eun-Sook (Department of Mathematics, Kwangwoon University)
Jee, Eun-Sook. (1997). A STUDY OF SOME TESTS OF TREND IN CONTINGENCY TABLES, 4(1), 7-18.

Abstract

Consider an $r\;\times\;c$ contingency table under the full multinomial model in which each classification is ordered. The problem is to test the null hypothesis of independence. A number of tests have been proposed for this problem. In this article we show that all of these tests can be improved on in some sense for most cases. In fact the preceding tests sometimes are inadmissible in a strict sense. Furthermore, we show by example that in some cases improved tests can yield substantially improved power functions.

keywords
Contingency table, Goodman-Kruskal gamma test, Inadmissible test, p value, Unbiased test

한국수학교육학회지시리즈B:순수및응용수학

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