On Application of the Empirical Bayes Shrinkage in Epidemiological Settings

Yuejen Zhao, Andy Lee, Tony Barnes

    Research output: Contribution to journalArticle

    Abstract

    This paper aims to provide direct and indirect evidence on setting up rules for applications of the empirical Bayes shrinkage (EBS), and offers cautionary remarks concerning its applicability. In epidemiology, there is still a lack of relevant criteria in the application of EBS. The bias of the shrinkage estimator is investigated in terms of the sums of errors, squared errors and absolute errors, for both total and individual groups. The study reveals that assessing the underlying exchangeability assumption is important for appropriate use of EBS. The performance of EBS is indicated by a ratio statistic f of the between-group and within-group mean variances. If there are significant differences between the sample means, EBS is likely to produce erratic and even misleading information. � 2010 by the authors; licensee Molecular Diversity Preservation International.
    Original languageEnglish
    Pages (from-to)-
    JournalInternational Journal of Environmental Research and Public Health
    Volume7
    Publication statusPublished - 2010

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