A-Optimal Split Plot Design for Estimating Variance Components

Nuga O.A^1, , Amahia G.N² and Fakorede A³

¹Department of Physical Sciences, Bells University of Technology, Ota, Nigeria

²Department of Statistics, University of Ibadan, Ibadan, Nigeria

³Department of Computer Science, Bells University of Technology, Ota, Nigeria

Cite this paper

Nuga O.A, Amahia G.N and Fakorede A. A-Optimal Split Plot Design for Estimating Variance Components. American Journal of Applied Mathematics and Statistics. 2014; 2(4):235-238. doi: 10.12691/AJAMS-2-4-11

Abstract

We study A-Optimal Split Plot designs for the maximum likelihood estimators of variance components. The work used the general linear model with one whole plot factor and one sub-plot factor and assumed that both factor effects are random variables. Candidates designs with the same number and sizes of whole plot were assigned to the level of the whole plot factor in such a way that formed a balanced one way design. Using the variances of the maximum likelihood estimator of the variance components, candidates designs were compared for A- optimality. The work introduced a method of classifying the five variance components to make comparison and presentation meaningful. The resulting optimal designs depend on the true proportional value of the variance components.

Keywords

local optimality, A-Optimality, whole plot, sub plot, variance component

Copyright

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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