CONSTRUCTION OF SPLIT PLOT DESIGN FOR ESTIMATING VARIANCE COMPONENT

Abstract

The work is aimed at studying design effect for the maximum likelihood estimators of variance components in a split plot design. The study used the general linear model with one whole plot factor and one subplot factor and assumed that both factor effects are random variables. The main problem studied is how to assign a given number of whole plots with equal sizes to the level of the whole plot factor in a way that will form a balanced one way design. 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.