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March, 1956 A "Mixed Model" for the Analysis of Variance
Henry Scheffe
Ann. Math. Statist. 27(1): 23-36 (March, 1956). DOI: 10.1214/aoms/1177728348

Abstract

A "mixed model" is proposed in which the problem of the appropriate assumptions to make about the joint distribution of the random main effects and interactions is solved by letting this joint distribution follow from more basic and "natural" assumptions about the cell means. The expectations of the mean squares ordinarily calculated turn out, with suitable definition of the variance components, to have the same values as those usually found in more restrictive models, and some of the customary tests and confidence intervals are justified, but some aspects appear to be novel. For example, the over-all test found for the fixed main effects and the associated multiple-comparison method require Hotelling's $T$.

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Henry Scheffe. "A "Mixed Model" for the Analysis of Variance." Ann. Math. Statist. 27 (1) 23 - 36, March, 1956. https://doi.org/10.1214/aoms/1177728348

Information

Published: March, 1956
First available in Project Euclid: 28 April 2007

zbMATH: 0072.36603
MathSciNet: MR77836
Digital Object Identifier: 10.1214/aoms/1177728348

Rights: Copyright © 1956 Institute of Mathematical Statistics

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Vol.27 • No. 1 • March, 1956
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