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Abstract

There is a considerable amount of literature dealing with inference about the parameters in a heteroscedastic one-way random-effects ANOVA model. In this paper, we primarily address the problem of improved quadratic estimation of the random-effect variance component. It turns out that such estimators with a smaller mean squared error compared with some standard unbiased quadratic estimators exist under quite general conditions. Improved estimators of the error variance components are also established.

Keywords

variance component estimation; smallest MSE; unbalanced one-way model; random parameters

Published in

Statistics
2010, volume: 44, number: 6, pages: 557-569
Publisher: TAYLOR & FRANCIS LTD

SLU Authors

Associated SLU-program

Wildlife
Biodiversity
Animal health (until May 2010)
Acidification
Agricultural landscape
Climate
Eutrophication
Cross-programme
Lakes and watercourses
Forest
Non-toxic environment

UKÄ Subject classification

Environmental Sciences and Nature Conservation
Agricultural Science
Forest Science

Publication identifier

  • DOI: https://doi.org/10.1080/02331880903237106

Permanent link to this page (URI)

https://res.slu.se/id/publ/47763