A note on chi-squared approximations for tests of rank interaction with ordered categorical data
作者:
G E Thomas,
期刊:
Communications in Statistics - Simulation and Computation
(Taylor Available online 1995)
卷期:
Volume 24,
issue 2
页码: 439-459
ISSN:0361-0918
年代: 1995
DOI:10.1080/03610919508813251
出版商: Marcel Dekker, Inc.
关键词: chi-squared approximations;exact variance of rank test statistics;factorial experiments;ordered categorical data;rank interac-tion;score data
数据来源: Taylor
摘要:
The idea of rank interaction in factorial experiments when the response is only measured on an ordinal scale was introduced by de Kroon and van der Laan (1981). In this paper, the exact null distributions of test statistics for main effects and rank interaction are compared with their independent asymptotic x2distributions, in particular for experiments with an ordered categorical response using an arbitrary score. Expressions are derived for the exact null variances and covariance of the two statistics for balanced experiments. Simulation is used to make further comparisons between the exact and the asymptotic distributions, and to consider experiments which are not balanced. Some recommendations are made as to when the asymptotic distributions may safely be used
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