Geodesic
On optimality of the orthogonal block design
Discussiones Mathematicae. Probability and Statistics, Tome 32 (2012) no. 1-2, pp. 59-68

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In the paper a usual block design with treatment effects fixed and block effects random is considered. To compare experimental design the asymptotic covariance matrix of a robust estimator proposed by Bednarski and Zontek (1996) for simultaneous estimation of shift and scale parameters is used. Asymptotically A- and D- optimal block designs in the class of designs with bounded block sizes are characterized.
Keywords: Experimental design, orthogonal block design, robust estimator, maximum likelihood estimator, A-optimality, D-optimality 
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Synówka-Bejenka, Ewa; Zontek, Stefan. On optimality of the orthogonal block design. Discussiones Mathematicae. Probability and Statistics, Tome 32 (2012) no. 1-2, pp. 59-68. http://geodesic.mathdoc.fr/item/DMPS_2012_32_1-2_a4/