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NEW TEST STATISTIC FOR COMPARING MEDIANS WITH INCOMPLETE PAIRED DATA

Tang, Xinyu (2007) NEW TEST STATISTIC FOR COMPARING MEDIANS WITH INCOMPLETE PAIRED DATA. Master's Thesis, University of Pittsburgh. (Unpublished)

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Abstract

This paper is concerned with nonparametric methods for comparing medians of paired data with unpaired values on both responses. A new nonparametric test statistic is proposed in this paper based on a Mann-Whitney U test making comparisons across complete and incomplete pairs. A method of finding the null hypothesis distribution for this statistic is presented using a permutation approach. A Monte Carlo simulation study is described to make power comparisons among four already-existing nonparametric test statistics and this new test statistic. It is concluded that this new test statistic is fairly powerful in handling this kind of data compared to the other four test statistics. Finally, all five test statistics are applied to a real dataset for comparing the proportions of certain T cell receptor gene families in a cancer study. The introduction of this new nonparametric test statistic is of public health importance because it is a powerful statistical method for dealing with a pattern of missing data that may be encountered in clinical and public health research.

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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Tang, Xinyukelsey_txy@hotmail.com
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee MemberWilson, John Wwilson@nsabp.pitt.eduJWW
Committee MemberJeong, Jong-HyeonJeong@nsabp.pitt.eduJJEONG
Committee MemberBrooks, Maria Mbrooks@edc.pitt.eduMBROOKS
Date: 28 June 2007
Date Type: Completion
Defense Date: 9 April 2007
Approval Date: 28 June 2007
Submission Date: 12 April 2007
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Institution: University of Pittsburgh
Schools and Programs: School of Public Health > Biostatistics
Degree: MS - Master of Science
Thesis Type: Master's Thesis
Refereed: Yes
Uncontrolled Keywords: monte carlo simulation study; nonparametric tests; permutation approach
Other ID: http://etd.library.pitt.edu/ETD/available/etd-04122007-135515/, etd-04122007-135515
Date Deposited: 10 Nov 2011 19:36
Last Modified: 15 Nov 2016 13:39
URI: http://d-scholarship.pitt.edu/id/eprint/7052

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