Subset selection based on order statistics from logistic populations

M.J. Laan, van der, P. Laan, van der

    Research output: Book/ReportReportAcademic

    Abstract

    Consider k equal size treatment groups and let the outcome of interest be a survival time. Suppose that a known monotone transformation of the survival times is logistically distributed and that the treatment only affects the location parameter. We obtain exact results for the problem of selecting a subset of treatments, based on the i-th ordered survival times, which contains with specified probability P* the optimal treatment. Since the distribution of the median of a small logistic i.i.d. sample is shown to approximate very well the normal distribution our exact results for the median can also be used for subset selection based on estimates of location parameters which are normally or approximately normally distributed.
    Original languageEnglish
    Place of PublicationBerkeley, USA
    PublisherUniversity of California Press
    Number of pages18
    Publication statusPublished - 1998

    Publication series

    NameU.C. Berkeley Division of Biostatistics Working Paper Series
    Volume70

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