A comparison of tests of homogeneity for sparse contingency tables
作者:
Dale F Kraemer,
Robert F Woolson,
期刊:
Communications in Statistics - Simulation and Computation
(Taylor Available online 1987)
卷期:
Volume 16,
issue 2
页码: 465-483
ISSN:0361-0918
年代: 1987
DOI:10.1080/03610918708812600
出版商: Marcel Dekker, Inc.
关键词: categorical data sparse tables;goodness of fit
数据来源: Taylor
摘要:
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.
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