The Annals of Statistics

Direct Products and Linear Models for Complete Factorial Tables

Shelby J. Haberman

Full-text: Open access

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.

Article information

Source
Ann. Statist., Volume 3, Number 2 (1975), 314-333.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176343059

Digital Object Identifier
doi:10.1214/aos/1176343059

Mathematical Reviews number (MathSciNet)
MR423704

Zentralblatt MATH identifier
0302.62035

JSTOR
links.jstor.org

Subjects
Primary: 62J10: Analysis of variance and covariance
Secondary: 62K15: Factorial designs 62E15: Exact distribution theory 62F10: Point estimation

Keywords
Random effects linear models direct products Gauss-Markov estimation expected mean squares analysis of variance factorial tables

Citation

Haberman, Shelby J. Direct Products and Linear Models for Complete Factorial Tables. Ann. Statist. 3 (1975), no. 2, 314--333. doi:10.1214/aos/1176343059. https://projecteuclid.org/euclid.aos/1176343059


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