Saturated Fractions of 2 n and 3 n Factorial Designs

R. L. Rechtschaffner

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Optimal Experimental Design Methods Advanced Combinatorial Mathematics Simulation Techniques and Applications

Abstract

Saturated fractions of 2 n and 3 n factorial designs which permit the estimation of both main effects and first order interactions are described. A simple method of generating these particular designs is given. In addition to presenting the specific designs for n = 3, …, 10, tables of variances and relative efficiencies are included to assist the potential user in assessing the suitability of the described designs.

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1946THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS 1947Factorial Experiments Derivable from Combinatorial Arrangements of Arrays 1961The 2k—pFractional Factorial Designs 2000The 2 k-p Fractional Factorial Designs Part I 1961The 2 k-p Fractional Factorial Designs Part I 1963The Choice of a Second Order Rotatable Design 1959Some Optimum Weighing Designs

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2004One-factor-at-a-time designs of resolution V 2004A Strategy of Searching Active Factors in Supersaturated Screening Experiments 1982Minimal point second order designs

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