Title

A Monte Carlo Study To Evaluate The Performance Of Selected Tests Of Homogeneity In Sparse Contingency Tables

Comments

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Abbreviated Journal Title

Pestic. Sci.

Keywords

Mathematical & Computational Biology; Statistics & Probability

Abstract

We address the problem of tests of homogeneity in two‐way contingency tables in case‐control studies when the case category is subdivided into k subcategories. In this situation, we have two cells with large frequencies and 2 X k cells with frequencies that become small as k increases. We propose two ad hoc statistics in which a statistic for the sparse cells is combined with a statistic for the cells with large frequencies. We will study these tests along with the Pearson test (using a chi‐square approximation) in a Monte Carlo simulation study. Two sets of null hypothesis models and two sets of alternative hypothesis models are considered. The best test for the models considered is the usual Pearson test (using an approximate chi‐square distribution) although the ad hoc models are more powerful under one alternative model considered.

Journal Title

Pesticide Science

Volume

30

Issue/Number

7

Publication Date

1-1-1988

Document Type

Article

Language

English

First Page

763

Last Page

778

WOS Identifier

WOS:A1988T228400001

ISSN

0323-3847

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