A Comparison of Estimators of Variance Components in the Balanced Three-Stage Nested Random Effects Model Using Mean Squared Error Criterion
作者:
Hardeo Sahai,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1976)
卷期:
Volume 71,
issue 354
页码: 435-444
ISSN:0162-1459
年代: 1976
DOI:10.1080/01621459.1976.10480365
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Various estimators of variance components for the balanced three-stage nested random effects model are compared under standard assumptions of normality and independence of random effects, using MSE as the measure of performance. Several results are proven, demonstrating the inequality relationships on MSE of the unbiased, restricted maximum likelihood and maximum likelihood, and several modifications of the unbiased and maximum likelihood estimators as introduced here, including Stein-type estimators. Some Bayesian estimators are also considered for numerical comparison of the MSE. Computations are carried out to assess the order of difference in the MSE's. A large class of equivariant estimators of the error component is shown to be inadmissible.
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