Abstract | ||
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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 |
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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 Delgado | 1 | 29 | 5.18 |
Hari Iyer | 2 | 3 | 1.55 |