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Comparison of procedures for testing the equality of survival distributions Joe, Harry

Abstract

A common problem in life testing is assessing whether two survival distributions are identical. Sequential procedures based on the Mantel-Haenszel statistic (Muenz, Green and Byar, 1977), the Wilcoxon statistic (Davis, 1978) and the Savage statistic (Koziol and Petkau, 1978) have been proposed for testing the equality of two survival distributions. These procedures, and their fixed point censoring counterparts, are numerically compared on the basis of power under Lehmann alternatives and expected proportion sampled. Among the sequential procedures, those based on the Wilcoxon and Savage statistics seem preferable to that based on the Mantel-Haenszel statistic. Early decision rules are introduced and shown to be of value if used in conjunction with either the sequential or fixed point censoring procedures. Finite sample corrections to the asymptotic critical values of the sequential procedure proposed by Koziol and Petkau are presented.

Item Metadata

Title
Comparison of procedures for testing the equality of survival distributions
Creator
Joe, Harry
Publisher
University of British Columbia
Date Issued
1979
Description
A common problem in life testing is assessing whether two survival distributions are identical. Sequential procedures based on the Mantel-Haenszel statistic (Muenz, Green and Byar, 1977), the Wilcoxon statistic (Davis, 1978) and the Savage statistic (Koziol and Petkau, 1978) have been proposed for testing the equality of two survival distributions. These procedures, and their fixed point censoring counterparts, are numerically compared on the basis of power under Lehmann alternatives and expected proportion sampled. Among the sequential procedures, those based on the Wilcoxon and Savage statistics seem preferable to that based on the Mantel-Haenszel statistic. Early decision rules are introduced and shown to be of value if used in conjunction with either the sequential or fixed point censoring procedures. Finite sample corrections to the asymptotic critical values of the sequential procedure proposed by Koziol and Petkau are presented.
Genre
Thesis/Dissertation
Type
Text
Language
eng
Date Available
2010-03-02
Provider
Vancouver : University of British Columbia Library
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
DOI
10.14288/1.0080351
URI
http://hdl.handle.net/2429/21373
Degree
Master of Science - MSc
Program
Mathematics
Affiliation
Science, Faculty of; Mathematics, Department of
Degree Grantor
University of British Columbia
Campus
UBCV
Scholarly Level
Graduate
Aggregated Source Repository
DSpace

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For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.