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Power analysis in longitudinal one-way crossover studies
Descriptive
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Title
Power analysis in longitudinal one-way crossover studies
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Hu
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Yirui
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1989-
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Yirui Hu
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Donald R
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Donald R Hoover
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chair
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Hung
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Ying
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Ying Hung
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internal member
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Xiao
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Han
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Han Xiao
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internal member
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Shi
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Qiuhu
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Qiuhu Shi
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Advisory Committee
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Rutgers University
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Graduate School - New Brunswick
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theses
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2016
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2016-10
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2016
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xx
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eng
Abstract
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This dissertation develops a general power estimation framework to estimate the variance of the new intervention effect estimate for longitudinal one-way crossover designs. Orthogonalized decomposition is developed for compound symmetry correlation of repeated measurements over time. In particular, we merge conventional difference-in-differences (DD) and more newly developed general stepped-wedge (SW) studies for both randomized and non-randomized allocation of units to the intervention, and investigate on the optimality properties in terms of study power (i.e. minimum variance of the intervention effect estimate). For a fixed total number of repeated measurements, we quantitatively compare the efficiency in detecting new intervention effect using DD and SW designs using formulas for compound symmetry covariance structure and empirical calculations for more general Toeplitz correlations. For this we provide insights for researchers in planning longitudinal one-way crossover designs. The following thesis is composed of three chapters represented by three manuscripts. The first chapter develops a unified power estimation approach for continuous outcomes in randomized difference-in-differences (R-DD) studies for both compound symmetry and more general Toeplitz correlation structures that were observed empirically. Optimal number of pre-and post-intervention allocation is analyzed. The second chapter extends the GLS power estimation framework to the non-randomized difference-in-differences (NR-DD) studies and quantitatively compare the penalty of being non-randomized versus randomized for a DD study. Optimal pre-post allocation is also analyzed for NR-DD studies. The third chapter, further investigates on the more general stepped-wedge designs and develop an Orthogonalized Least Squares power estimation framework for both randomized and non-randomized SW (R-SW and NR-SW). The third chapter is research conducted during graduate studies that has been accepted for publication in Statistical Methods in Medical Research published by SAGE.
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Statistics and Biostatistics
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electronic resource
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1 online resource (x, 131 p. : ill.)
Note
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Ph.D.
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Includes bibliographical references
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by Yirui Hu
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Graduate School - New Brunswick Electronic Theses and Dissertations
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rucore19991600001
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doi:10.7282/T3Q52RX9
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ETD doctoral
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Rights
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The author owns the copyright to this work.
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Hu
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Yirui
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2016-09-29 11:03:37
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Yirui Hu
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Rutgers University. Graduate School - New Brunswick
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Author Agreement License
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I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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2016-10-31
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2018-10-31
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Access to this PDF has been restricted at the author's request. It will be publicly available after October 31st, 2018.
Copyright
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Copyright protected
Availability
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Open
Reason
Permission or license
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