Abstract
In this paper we define a class of unbalanced designs, denoted by Ck,s,t, for estimating the components of variance in a k-stage nested random effects linear model. This class contains many of the designs proposed in the literature for nested components of variance models. We focus on the three-state model and discuss the determination of locally optimal designs within this class using a systematic computer search. For large sample sizes we show that approximate optimal designs may be obtained using a limit argument combined with numerical optimization. A comparison of our designs with previously published designs suggests that, in many cases, our designs result in substantial gains in efficiency.
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Delgado, J., Iyer, H. Search for optimal designs in a three stagenested random model. Statistics and Computing 9, 187–193 (1999). https://doi.org/10.1023/A:1008913829056
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DOI: https://doi.org/10.1023/A:1008913829056