Title: <i>D</i>-optimal designs for covariate models
Abstract: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 experimen...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-optimalityOrthogonal arrays Acknowledgements The authors thank a referee for making useful comments on an earlier version. The work of Rahul Mukerjee was supported by a grant from the Centre for Management and Development Studies, Indian Institute of Management, Calcutta.Read More
Publication Year: 2006
Publication Date: 2006-06-20
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 18
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