Multiple-dose design and bias-reducing methods for limiting dilution assays

L.W.G. Strijbosch, Willem/Wim Albers, R.J.M.M. Does

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    Abstract

    This paper gives an overview of several (mostly recent) statistical contributions to the theory of Limiting and Serial Dilution Assays (LDA's, SDA's). A simple and useful method is presented for the setup of a design for an LDA or an SDA. This method is based on several user-supplied design parameters, consisting in the researcher's advance information and other parameters inherent to the particular problem. The commonly used Maximum Likelihood (ML) and Minimum Chi-square methods for the estimation of the unknown parameter in an LDA or an SDA are described and compared to several bias-reducing estimation methods, e.g. jackknife and bootstrap versions of the ML method. One particular jackknife version is recommended.
    Original languageUndefined
    Pages (from-to)-
    Number of pages0
    JournalStatistica Neerlandica
    Volume0
    Issue number44
    DOIs
    Publication statusPublished - 1990

    Keywords

    • jackknife
    • minimum chi-square
    • IR-70894
    • METIS-140482
    • Bootstrap
    • Maximum Likelihood
    • Monte Carlo comparison
    • Experimental design

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