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December, 1957 The Relationship Algebra of an Experimental Design
A. T. James
Ann. Math. Statist. 28(4): 993-1002 (December, 1957). DOI: 10.1214/aoms/1177706800


Important properties of an experimental design, including the analysis of variance appropriate to it, are revealed by analysing the structure of an algebra generated by the relationships between the experimental units of the design. As an illustration, the relationship algebra of balanced incomplete blocks is analysed in detail.


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A. T. James. "The Relationship Algebra of an Experimental Design." Ann. Math. Statist. 28 (4) 993 - 1002, December, 1957.


Published: December, 1957
First available in Project Euclid: 27 April 2007

zbMATH: 0078.33703
MathSciNet: MR97142
Digital Object Identifier: 10.1214/aoms/1177706800

Rights: Copyright © 1957 Institute of Mathematical Statistics

Vol.28 • No. 4 • December, 1957
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