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Optimum covariate designs in a binary proper equi-replicate block design set-up |
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| Authors: | Ganesh Dutta |
| Institution: | a Department of Statistics, Basanti Devi College, 147/B, Rashbehari Avenue, Kolkata-700029, India b Department of Statistics, University of Kalyani, Kalyani-741235, India c Department of Statistics, University of Calcutta, 35 B.C. Road, Kolkata-700019, India |
| Abstract: | The choice of covariates values for a given block design attaining minimum variance for estimation of each of the regression parameters of the model has attracted attention in recent times. In this article, we consider the problem of finding the optimum covariate design (OCD) for the estimation of covariate parameters in a binary proper equi-replicate block (BPEB) design model with covariates, which cover a large class of designs in common use. The construction of optimum designs is based mainly on Hadamard matrices. |
| Keywords: | Block designs Covariates Binary proper equi-replicate block design Cyclic design Optimal design Hadamard matrix Khatri-Rao product Kronecker product |
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