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Marden, John I. Abu-Dayyeh, Walid Ahmad 2011-05-07T13:02:06Z 2011-05-07T13:02:06Z 10000-01-01 1989 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. Made available in DSpace on 2011-05-07T13:02:06Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 8924752.pdf: 7314574 bytes, checksum: a294ad8025de88ddba5349cf65105f7d (MD5) Previous issue date: 1989 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:49:18Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:22:25-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI8924752 (UMI)AAI8924752 http://hdl.handle.net/2142/21221 eng Copyright 1989 Abu-Dayyeh, Walid Ahmad Statistics Bahadur exact slope, Pitman efficiency, and local power for combining independent tests text University of Illinois at Urbana-Champaign Dissertation Ph.D. Statistics Statistics