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March, 1975 Direct Products and Linear Models for Complete Factorial Tables
Shelby J. Haberman
Ann. Statist. 3(2): 314-333 (March, 1975). DOI: 10.1214/aos/1176343059

Abstract

Direct products are used in some problems involving balanced factorial models for analysis of variance. Problems considered include demonstration that least squares estimators are minimum variance unbiased linear estimators when mixed models are considered, determination of the covariance structure of lest squares estimators, calculation of expected values of sums of squares and mean squares, and determination of the distribution of sums of squares and least squares estimators under the normality assumption.

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Shelby J. Haberman. "Direct Products and Linear Models for Complete Factorial Tables." Ann. Statist. 3 (2) 314 - 333, March, 1975. https://doi.org/10.1214/aos/1176343059

Information

Published: March, 1975
First available in Project Euclid: 12 April 2007

zbMATH: 0302.62035
MathSciNet: MR423704
Digital Object Identifier: 10.1214/aos/1176343059

Subjects:
Primary: 62J10
Secondary: 62E15 , 62F10 , 62K15

Keywords: Analysis of variance , direct products , expected mean squares , factorial tables , Gauss-Markov estimation , linear models , random effects

Rights: Copyright © 1975 Institute of Mathematical Statistics

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Vol.3 • No. 2 • March, 1975
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