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Journal of the Nigerian Association of Mathematical Physics

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On The Choice of a Completely Randomized Design with Emphasis On The D-Optimality Criterion

DO Iruegbukpe, JI Mbegbu

Abstract


Completely randomized designs (CRDs) are designs in which treatments are allotted to the experimental units by chance. The designs include the unconstrained CRD, the zero-sum constraint CRD and the baseline constraint CRD. Since there are several CRDs, we are faced with choosing a design that will yield the optimal result. In this paper, we present the use of the D-optimality criterion as an objective tool in making such a choice. The study shows that the baseline constraint CRD is the most suitable choice of designs for an experiment with five treatments and six replicates.

Keywords: Experimental design, CRD, D-optimality criterion, treatment, replicate, model, regression, information matrix, measure, eigenvalue, determinant.



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