Open Access
September, 1986 Rectangular Lattice Designs: Efficiency Factors and Analysis
R. A. Bailey, T. P. Speed
Ann. Statist. 14(3): 874-895 (September, 1986). DOI: 10.1214/aos/1176350039

Abstract

Rectangular lattice designs are shown to be generally balanced with respect to a particular decomposition of the treatment space. Efficiency factors are calculated, and the analysis, including recovery of interblock information, is outlined. The ideas are extended to rectangular lattice designs with an extra blocking factor.

Citation

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R. A. Bailey. T. P. Speed. "Rectangular Lattice Designs: Efficiency Factors and Analysis." Ann. Statist. 14 (3) 874 - 895, September, 1986. https://doi.org/10.1214/aos/1176350039

Information

Published: September, 1986
First available in Project Euclid: 12 April 2007

zbMATH: 0598.62089
MathSciNet: MR856795
Digital Object Identifier: 10.1214/aos/1176350039

Subjects:
Primary: 62K10
Secondary: 05B15 , 62J10

Keywords: Analysis of variance , block structure , combination of information , efficiency factor , general balance , Latin square , rectangular lattice , resolvable design , stratum , treatment decomposition

Rights: Copyright © 1986 Institute of Mathematical Statistics

Vol.14 • No. 3 • September, 1986
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