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June, 1954 On Quadratic Estimates of Variance Components
Franklin A. Graybill
Ann. Math. Statist. 25(2): 367-372 (June, 1954). DOI: 10.1214/aoms/1177728792


In this paper quadratic estimates of variance components are considered. For the general balanced nested classification with no specific distributions assumed, it is shown that the quadratic estimate which is unbiased and which has minimum variance is given by the analysis of variance method of estimating the variance components.


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Franklin A. Graybill. "On Quadratic Estimates of Variance Components." Ann. Math. Statist. 25 (2) 367 - 372, June, 1954.


Published: June, 1954
First available in Project Euclid: 28 April 2007

zbMATH: 0055.37604
MathSciNet: MR61333
Digital Object Identifier: 10.1214/aoms/1177728792

Rights: Copyright © 1954 Institute of Mathematical Statistics

Vol.25 • No. 2 • June, 1954
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