Single Replicate Factorial Experiments in Generalized Cyclic Designs: I. Symmetrical Arrangements

J. A. John · Angela Dean

59 citations0/0 files storedJournal of the Royal Statistical Society Series B (Statistical Methodology)

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Optimal Experimental Design Methods Advanced Combinatorial Mathematics Finite Group Theory Research

Abstract

Summary Single replicate generalized cyclic designs are constructed from a set of generating treatments. This flexible class of designs is used to provide a general method of confounding in symmetrical factorial experiments. It is shown how the confounding scheme can be determined from an examination of the generating treatments.

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1962A Calculus for Factorial Arrangements

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2007Indicator function and complex coding for mixed fractional factorial designs 1977Identification of Effects and Confounding Patterns in Factorial Designs 1976Generation of Factorial Designs 1977Patterns of Confounding in Factorial Designs 1985Factorial design and abelian groups 1975Single Replicate Factorial Experiments in Generalized Cyclic Designs: II. Asymmetrical Arrangements

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