Various varying variances: The challenge of nuisance parameters to the practising biostatistician

Stephen Senn*

*Corresponding author for this work

    Research output: Contribution to journalArticleResearchpeer-review

    15 Citations (Scopus)

    Abstract

    The 1997 Biometrics paper by Mike Kenward and James Roger has become a citation classic (more than 1260 citations by End June 2013 according to Google Scholar) and the solution that they proposed to deal with the problem of significance tests of fixed effects in REML models is now incorporated in many software packages and accepted by all biostatisticians as the method of choice. Nevertheless, it does not solve all problems, since there is more to analysis than just significance and since the problems that models with more than one variance pose arise in many contexts. In this paper, I discuss some problems and applications and make some tentative suggestions as to how they may be tackled. My excuse for raising problems I do not solve is that it may inspire James and Mike to complete what they started.

    Original languageEnglish
    Pages (from-to)403-419
    Number of pages17
    JournalStatistical Methods in Medical Research
    Volume24
    Issue number4
    DOIs
    Publication statusPublished - 25 Aug 2015

    Keywords

    • Analysis of covariance
    • Components of Variance
    • Gauss-Markov theorem
    • History of statistics
    • Mixed models
    • REML

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