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Generating the Intrablock and Interblock Subgroups for Confounding in General Factorial Experiments
Bruce Jay Collings
The Annals of Statistics
Vol. 12, No. 4 (Dec., 1984), pp. 1500-1509
Published by: Institute of Mathematical Statistics
Stable URL: http://www.jstor.org/stable/2241016
Page Count: 10
You can always find the topics here!Topics: Factorial design, Statism, Factorials, Vector spaces, Experiment design, Prime numbers, Algebra, Integers, Mathematical procedures, Samkhya
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A simple method of directly obtaining generators for the intrablock subgroup and for the interblock subgroup of a confounding plan is presented. The method is applicable to completely general factorial experiments and can be used either to construct the design which confounds a specified set of treatment effects or to determine the confounding pattern of a specified design. This procedure avoids the usual trial and error approach to confounding and involves nothing more complicated than addition and multiplication modulo a prime number.
The Annals of Statistics © 1984 Institute of Mathematical Statistics