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Fully sequential monitoring of longitudinal trials using sequential ranks, with applications to an orthodontics study Open Access


Other title
Clinical trials -- Statistical methods
Sequences (Mathematics)
Type of item
Degree grantor
University of Alberta
Author or creator
Bogowicz, Paul Joseph
Supervisor and department
Heo, Giseon (Dentistry)
Gombay, Edit (Mathematical and Statistical Sciences)
Examining committee member and department
Gombay, Edit (Mathematical and Statistical Sciences)
MacGregor, Mike (Computing Science)
Schmuland, Byron (Mathematical and Statistical Sciences)
Heo, Giseon (Dentistry)
Department of Mathematical and Statistical Sciences

Date accepted
Graduation date
Master of Science
Degree level
This thesis explores the application of fully sequential methods for the analysis of longitudinal clinical trial data. A new nonparametric approach will be developed, using sequential ranks, for the comparison of several treatment groups. Sequential ranking is an alternative to ranking by the usual method. Although sequential ranks are more likely to suffer from information loss than regular ranks, they are preferred here for their independence. We will develop three alternative monitoring procedures. The first two will be large-sample, continuous analogues of the Pocock and O'Brien-Fleming group sequential monitoring procedures. The third procedure, a small sample version, will make use of the sign function, and will be grounded in the theory of simple random walks. The performance of the three monitoring procedures will be assessed via a Monte Carlo simulation study. In particular, we will compare power and average stopping time for various treatment differences, different numbers of treatment groups, and different response distributions. The procedure will then be applied to data arising from an orthodontic clinical trial.
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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