Publication Date

1989

Document Type

Dissertation/Thesis

Degree Name

M.S. (Master of Science)

Legacy Department

Department of Mathematical Sciences

LCSH

Chi-square test; Contingency tables

Abstract

This thesis is concerned with comparisons of chi-square tests in an I x J x K contingency table. The hypotheses examined were no-three-factor interaction, conditional independence, and complete independence. Monte Carlo techniques were used to study the behavior of a variety of tests defined by the Crcssie-Rcad family of power divergence statistics for small and moderately sized samples. Results suggest that power divergence statistics in the range λ ε [0.4,1.2] perform well in terms of their nominal values and power. The Pearson Χ² and the Cressie-Rcad 1(2/3) statistic perform equally well. The Χ² has a slight edge over 1(2/3) for each of the three hypotheses.

Comments

Includes bibliographical references (pages 91-93)

Extent

xii, 275 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

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