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    On Group-Sequential Multiple Testing Controlling Familywise Error Rate

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    TETDEDXFu-temple-0225E-12260.pdf
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    Genre
    Thesis/Dissertation
    Date
    2015
    Author
    Fu, Yiyong
    Advisor
    Sarkar, S. K. (Sanat K.)
    Committee member
    Han, Xu
    Zhao, Zhigen
    Tang, Cheng Yong
    Rom, Dror
    Department
    Statistics
    Subject
    Statistics
    Familywise Error Rate
    Group-sequential
    Hochberg's Step-up Procedure
    Holm's Step-down Procedure
    Multiple Testing
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/2887
    
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    DOI
    http://dx.doi.org/10.34944/dspace/2869
    Abstract
    The importance of multiplicity adjustment has gained wide recognition in modern scientific research. Without it, there will be too many spurious results and reproducibility becomes an issue; with it, if overtly conservative, discoveries will be made more difficult. In the current literature on repeated testing of multiple hypotheses, Bonferroni-based methods are still the main vehicle carrying the bulk of multiplicity adjustment. There is room for power improvement by suitably utilizing both hypothesis-wise and analysis- wise dependencies. This research will contribute to the development of a natural group-sequential extension of the classical stepwise multiple testing procedures, such as Dunnett’s stepdown and Hochberg’s step-up procedures. It is shown that the proposed group-sequential procedures strongly control the familywise error rate while being more powerful than the recently developed class of group-sequential Bonferroni-Holm’s procedures. Particularly in this research, a convexity property is discovered for the distribution of the maxima of pairwise null P-values with the underlying test statistics having distributions such as bivariate normal, t, Gamma, F, or Archimedean copulas. Such property renders itself for an immediate use in improving Holm’s procedure by incorporating pairwise dependencies of P-values. The improved Holm’s procedure, as all stepdown multiple testing procedures, can also be naturally extended to group-sequential setting.
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