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OCDs in Completely Randomized Design Set-Up

In: Optimal Covariate Designs

Author

Listed:
  • Premadhis Das

    (University of Kalyani, Department of Statistics)

  • Ganesh Dutta

    (Basanti Devi College (Affiliated to University of Calcutta), Department of Statistics)

  • Nripes Kumar Mandal

    (University of Calcutta, Department of Statistics)

  • Bikas Kumar Sinha

    (Indian Statistical Institute)

Abstract

This chapter addresses optimality issues for covariate designs under CRD set-up. We discuss optimum allocation of treatments and optimum selection of values of the covariates in this set-up for simultaneous estimation of the (fixed) treatment effects (in the absence of the general effect) and the covariate effects. We derive optimum designs for the most efficient estimation of treatment parameters and covariate parameters for finding such designs with respect to global optimality criterion. In cases where such designs do not exist, we take resort to D-optimality criterion.

Suggested Citation

  • Premadhis Das & Ganesh Dutta & Nripes Kumar Mandal & Bikas Kumar Sinha, 2015. "OCDs in Completely Randomized Design Set-Up," Springer Books, in: Optimal Covariate Designs, edition 1, chapter 0, pages 13-26, Springer.
    • Handle: RePEc:spr:sprchp:978-81-322-2461-7_2
    DOI: 10.1007/978-81-322-2461-7_2
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