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

  • Author / Creator
    Bogowicz, Paul Joseph
  • 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.

  • Subjects / Keywords
  • Graduation date
    2009-11
  • Type of Item
    Thesis
  • Degree
    Master of Science
  • DOI
    https://doi.org/10.7939/R3407R
  • License
    This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
  • Language
    English
  • Institution
    University of Alberta
  • Degree level
    Master's
  • Department
    • Department of Mathematical and Statistical Sciences
  • Supervisor / co-supervisor and their department(s)
    • Gombay, Edit (Mathematical and Statistical Sciences)
    • Heo, Giseon (Dentistry)
  • Examining committee members and their departments
    • Schmuland, Byron (Mathematical and Statistical Sciences)
    • MacGregor, Mike (Computing Science)
    • Gombay, Edit (Mathematical and Statistical Sciences)
    • Heo, Giseon (Dentistry)