Patterns of Confounding in Factorial Designs

R. A. Bailey

45 citations0/0 files storedBiometrika

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Optimal Experimental Design Methods Advanced Combinatorial Mathematics Statistical Methods and Applications

Abstract

A method is developed for identifying confounded effects in factorial designs, whether symmetrical or asymmetrical, arranged in any of the simple block structures described by Nelder (1965). The dual process gives a method of constructing factorial designs with specified patterns of confounding. Both methods are extensions of those commonly used for symmetrical factorial designs with prime number of levels and a single block category.

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1965The analysis of randomized experiments with orthogonal block structure. I. Block structure and the null analysis of variance 1943THE FRACTIONAL REPLICATION OF FACTORIAL ARRANGEMENTS 1947A SIMPLE APPROACH TO CONFOUNDING AND FRACTIONAL REPLICATION IN FACTORIAL EXPERIMENTS 1975Single Replicate Factorial Experiments in Generalized Cyclic Designs: I. Symmetrical Arrangements 1940On the problem of confounding in the general symmetrical factorial design.1977Identification of Effects and Confounding Patterns in Factorial Designs 1976Generation of Factorial Designs

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1985Factorial design and abelian groups 1990The Non-Orthogonal Design of Experiments

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