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Optimal analysis of group randomized...
~
Braun, Thomas Michael.
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Optimal analysis of group randomized trials with permutation tests.
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Optimal analysis of group randomized trials with permutation tests./
Author:
Braun, Thomas Michael.
Description:
107 p.
Notes:
Chair: Ziding Feng.
Contained By:
Dissertation Abstracts International60-08B.
Subject:
Biology, Biostatistics. -
Online resource:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9944097
ISBN:
0599458208
Optimal analysis of group randomized trials with permutation tests.
Braun, Thomas Michael.
Optimal analysis of group randomized trials with permutation tests.
- 107 p.
Chair: Ziding Feng.
Thesis (Ph.D.)--University of Washington, 1999.
Two facts complicate the analysis of group randomized trials (GRTs). First, individual outcomes within each group are often correlated. Second, the number of groups in a GRT is often not sufficient to make asymptotic approximations possible. Therefore, methods such as GEE (Liang & Zeger, 1986) and PQL (Breslow & Clayton, 1993), originally developed for longitudinal studies, may not be valid.
ISBN: 0599458208Subjects--Topical Terms:
1018416
Biology, Biostatistics.
Optimal analysis of group randomized trials with permutation tests.
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Optimal analysis of group randomized trials with permutation tests.
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107 p.
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Chair: Ziding Feng.
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Source: Dissertation Abstracts International, Volume: 60-08, Section: B, page: 3658.
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Thesis (Ph.D.)--University of Washington, 1999.
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Two facts complicate the analysis of group randomized trials (GRTs). First, individual outcomes within each group are often correlated. Second, the number of groups in a GRT is often not sufficient to make asymptotic approximations possible. Therefore, methods such as GEE (Liang & Zeger, 1986) and PQL (Breslow & Clayton, 1993), originally developed for longitudinal studies, may not be valid.
520
$a
As an alternative, this thesis develops randomization-based methods for analyzing GRTs. First, we review the general validity of permutation tests and demonstrate their validity when specifically applied to GRTs. Second, we extend earlier work of Lehmann & Stein (1949) and develop a permutation test for correlated data that is most powerful within the class of all permutation tests. The statistic is a weighted sum of cluster residuals, where the weights are a function of the group sizes and the variability of the individual outcomes. Third, we propose an algorithm to compute permutation-based confidence intervals from our recommended test.
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Next, simulations of correlated binary and continuous outcomes demonstrate that: (1) permutation tests have nominal size, unlike GEE, which is too liberal in small GRTs, (2) the power of our test equals that of GEE once the test in GEE is adjusted to be nominal, and (3) permutation-based confidence intervals have excellent coverage probabilities and are not necessarily symmetric. The importance of weighting in permutation tests is also demonstrated. Last, we analyze two recently published GRTs, discuss the findings based on permutation tests, and compare those findings with GEE and PQL.
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School code: 0250.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9944097
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