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D-optimal designs for covariate models
Authors:Aloke Dey  Rahul Mukerjee
Institution:1. Indian Statistical Institute , New Delhi, 110 016, India adey@isid.ac.in;3. Indian Institute of Management , Calcutta, 700 104, India
Abstract:The problem of finding D-optimal or D-efficient designs in the presence of covariates is considered under a completely randomized design set-up with v treatments, k covariates and N experimental units. In contrast to Lopes Troya Lopes Troya, J., 1982, Optimal designs for covariates models. Journal of Statistical Planning and Inference, 6, 373–419.], who considered this problem in the equireplicate case, we do not assume that N/v is an integer, and this allows us to study situations where no equireplicate design exists. Even when N/v is an integer, it is seen quite counter-intuitively that there are situations where a non-equireplicate design outperforms the best equireplicate design under the D-criterion.
Keywords:Covariate models  D-optimality  Orthogonal arrays
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