Title

A Comparison Of Tests Of Homogeneity For Sparse Contingency Tables

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Commun. Stat.-Simul. Comput.

Keywords

Statistics & Probability

Abstract

Five tests of homogeneity for a 2x(k+l) contingency table are compared using Monte Carlo techniques. For these studiesit is assumed that k becomes large in such a way that thecontingency table is sparse for 2xk of the cells, but the sample size in two of the cells remains large. The test statistics studied are: the chi-square approximation to the Pearson test statistic, the chi-square approximation to the likelihood ratio statistic, the normal approximation to Zelterman's (1984)the normal approximation to Pearson's chi-square, and the normal approximation to the likelihood ratio statistic. For the range of parameters studied the chi-square approximation to Pearson's statistic performs consistently well with regard to its size and power.

Journal Title

Communications in Statistics-Simulation and Computation

Volume

16

Issue/Number

2

Publication Date

1-1-1987

Document Type

Article

Language

English

First Page

465

Last Page

483

WOS Identifier

WOS:A1987J450200009

ISSN

0361-0918

Share

COinS