Title
Search for optimal designs in a three stagenested random model
Abstract
In this paper we define a class of unbalanced designs, denoted by C_k,s,t, for estimating the components of variance in a k-stage nested random effects linear model. This class contains many of the designs proposed in the literature for nested components of variance models. We focus on the three-state model and discuss the determination of locally optimal designs within this class using a systematic computer search. For large sample sizes we show that approximate optimal designs may be obtained using a limit argument combined with numerical optimization. A comparison of our designs with previously published designs suggests that, in many cases, our designs result in substantial gains in efficiency.
Year
DOI
Venue
1999
10.1023/A:1008913829056
Statistics and Computing
Keywords
Field
DocType
Analysis of variation estimation,staggered design,nested linear model
Random effects model,Mathematical optimization,Linear model,Optimal design,Computer search,Statistics,Sample size determination,Mathematics
Journal
Volume
Issue
ISSN
9
3
1573-1375
Citations 
PageRank 
References 
2
0.56
0
Authors
2
Name
Order
Citations
PageRank
Jaime Delgado1295.18
Hari Iyer231.55