Paper Info
Title
Mixed Response Surface Models With Heterogeneous Within-Block Error Variances
Abstract
The experimental error variance in a response surface model with a block effect has traditionally been assumed to be constant. In some experimental situations, however, this variance may be different for the different blocks that compose the associated design. This article discusses the analysis of a response surface model with a random block effect and heterogeneous error variances among the blocks. The model includes interactions between the fixed polynomial effects and the block effect. Procedures for estimating and testing the fixed effects and the random effects in the model are described. In particular, ANOVA-based procedures for testing equality of the error variances and testing the random effects are introduced.
Year
DOI
Venue
2006
10.1198/004017005000000599
TECHNOMETRICS
Keywords
Field
DocType
ANOVA tests,block effect,fixed effects,Levene's test,likelihood ratio test,PROC MIXED,random effects,restricted maximum likelihood,type III sums of squares,variance components
Econometrics,Random effects model,Polynomial,Likelihood-ratio test,Fixed effects model,Mixed model,Levene's test,Restricted maximum likelihood,Statistics,Mathematics,Analysis of variance
Journal
Volume
Issue
ISSN
48
2
0040-1706
Citations 
PageRank 
References 
3
0.45
0
Authors
1
Name
Order
Citations
PageRank
André I. Khuri172.01