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Testing for ordered group effects with repeated measurements

Title
Testing for ordered group effects with repeated measurements
Authors
Shin D.W.Park C.G.Park T.
Ewha Authors
신동완
SCOPUS Author ID
신동완scopus
Issue Date
1996
Journal Title
Biometrika
ISSN
0006-3444JCR Link
Citation
Biometrika vol. 83, no. 3, pp. 688 - 694
Indexed
SCI; SCIE; SCOPUS scopus
Document Type
Article
Abstract
In the repeated measures experiment, testing procedures for ordered group effects are proposed using the likelihood ratio principle. The constrained maximum likelihood estimators of ordered group effects are approximated by the isotonic regression of the unconstrained maximum likelihood estimators. Based on these constrained maximum likelihood estimators, test statistics are constructed and are used for detecting ordered group effects. The limiting distributions of the proposed test statistics are shown to be mixtures of chi-squared distributions. A simulation study shows that the proposed tests have improved powers over the usual chi-squared statistic for testing equality of group effects. A real data set is analysed to illustrate the proposed statistics.
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자연과학대학 > 통계학전공 > Journal papers
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