Analysis of linear models with two factors having both fixed and random levels

SOURCE: Communications in Statistics - Theory and Methods
OUTPUT TYPE: Journal Article
PUBLICATION YEAR: 2009
TITLE AUTHOR(S): P.M.Njuho, G.A.Milliken
KEYWORDS: COMBINED MODELS, ESTIMATION, LINEAR MODELS, MATHEMATICS
DEPARTMENT: Human and Social Capabilities (HSC)
Print: HSRC Library: shelf number 5920
HANDLE: 20.500.11910/4786

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Abstract

A general theory for a case where some factors have both fixed and random effect levels is developed under a two-way treatment structure model. This is an extension of a one factor with both fixed and random levels (Njuho & Milliken, 2005). We consider several alternative approaches for estimating the fixed effects and the variance components using mixed models. We propose conducting the analysis in stages depending on the hypothesis being tested. The computational procedures are illustrated using two numerical examples.