Optimal designs for beta-binomial logistic regression models

Goran Arnoldsson

Journal of Applied Statistics, 2003, vol. 30, issue 8, 939-951

Abstract: Optimal designs for a logistic regression model with over-dispersion introduced by a beta-binomial distribution are characterized. Designs are defined by a set of design points and design weights as usual but, in addition, the experimenter must also make a choice of a sub-sampling design specifying the distribution of observations on sample sizes. In an earlier work it has been shown that Ds-optimal sampling designs for estimation of the parameters of the beta-binomial distribution are supported on at most two design points. This admits a simplified approach using single sample sizes. Linear predictor values for Ds-optimal designs using a common sample size are tabulated for different levels of over-dispersion and choice of subsets of parameters.

Date: 2003
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DOI: 10.1080/0266476032000076001

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