University of Illinois Urbana-Champaign

Bahadur exact slope, Pitman efficiency, and local power for combining independent tests

Abu-Dayyeh, Walid Ahmad

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Description

Title
Bahadur exact slope, Pitman efficiency, and local power for combining independent tests
Author(s)
Abu-Dayyeh, Walid Ahmad
Issue Date
1989
Doctoral Committee Chair(s)
Marden, John I.
Department of Study
Statistics
Discipline
Statistics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Statistics
Language
eng
Abstract
  • Many authors, for example, Fisher (1950), Pearson (1938), Birnbaum (1954), Good (1955), Littell and Folks (1971, 1973), Berk and Cohen (1979), and Koziol, Perlman, and Rasmussen (1988), have studied the problem of combining several independent tests. Many combination procedures have been proposed, and the relative performances of such procedures have been investigated using a variety of criteria, for example, power against specific alternatives, and Bahadur Exact Slope as the sample size of the individual tests increases, but the number of tests combined is constant.
  • In this thesis, we will look at the problem of combining p independent tests as p approaches infinity. We will look at a number of popular omnibus combination procedures, and we will compare their performances via Bahadur Exact Slope, Pitman efficiency, and local power in a number of situations. In these cases, it will be shown that no combination procedure is uniformly more powerful than the others, but the logistic method is generally more efficient than the others in terms of Bahadur Exact Slope, and the Inverse Normal method is better than the others when considering Pitman efficiency and local Power.
Type of Resource
text
Permalink
http://hdl.handle.net/2142/21221
Copyright and License Information
Copyright 1989 Abu-Dayyeh, Walid Ahmad

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