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Permanent link (DOI): https://doi.org/10.7939/R3QV3C973

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Testing Simultaneous Marginal Homogeneity in Clustered Matched-Pair Multinomial Data Open Access

Descriptions

Other title
Subject/Keyword
Simultaneous Marginal Homogeneity
Multinomial
Match-Pair Data
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Deng, Bo
Supervisor and department
Keumhee Carriere Chough (Mathematical and Statistical Sciences)
Examining committee member and department
Irina Dinu (School of Public Health)
Linglong Kong (Mathematical and Statistical Sciences)
Rohana Karunamuni (Mathematical and Statistical Sciences)
Department
Department of Mathematical and Statistical Sciences
Specialization
Biostatistics
Date accepted
2015-04-01T13:54:02Z
Graduation date
2015-06
Degree
Master of Science
Degree level
Master's
Abstract
For matched-pair data with a multinomial reponse, the Stuart-Maxwell test (1955, 1970) and the Bhapkar test (1966) are commonly used to test the marginal homogeneity. However, in medical research, many studies for assess- ing safety consider multiple multinomial endpoints to detect the treatment ef- fects. To test the simultaneous marginal homogeneity (SMH) in such clustered matched-pair multinomial data, three overall tests are proposed. Furthermore, when the outcome is ordinal, three ordinal statistics which test SMH against stochastic ordering are proposed. To evaluate the performance of our methods, we generated a total of 5000 clustered matched-pair data sets, considering number of endpoints = 2; 3; 4 and sample size ranging from 25 to 200. Then our methods are applied to these 5000 datasets and the empirical size and power are compared. The simulation shows that the Score-type tests perform well with respect to nominal size and power even with small sample size. For ordinal endpoints, the ordinal statistic provides uniformly larger power than the one which does not utilize the ordinal feature.
Language
English
DOI
doi:10.7939/R3QV3C973
Rights
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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File format: pdf (Portable Document Format)
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File size: 949374
Last modified: 2015:10:22 06:04:54-06:00
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File title: Introduction
File title: Testing Simultaneous Marginal Homogeneity in Clustered Matched-Pair Multinomial Data
File author: Bo Deng
Page count: 105
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