Minimum Aberration Designs with Two-Level and Four-Level Factors

C. F. Jeff Wu · Runchu Zhang

65 citations0/0 files storedBiometrika

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Optimal Experimental Design Methods Advanced Combinatorial Mathematics Simulation Techniques and Applications

Abstract

For optimal assignment of factors to columns of a 4m2n design, we consider extensions of the minimum aberration criterion for the 2-level designs. Minimum aberration 4l2n and 422n designs in 16 and 32 runs are obtained and tabulated. Some results on the wordlength patterns and design classification are obtained.

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1962Orthogonal Main-Effect Plans for Asymmetrical Factorial Experiments 1980Minimum Aberration 2 k-p Designs 1991An Approach to the Construction of Asymmetrical Orthogonal Arrays 1984Constructing Tables of Minimum AberrationPn–mDesigns 1992Nearly Orthogonal Arrays With Mixed Levels and Small Runs 1991Some Results on $s^{n-k}$ Fractional Factorial Designs with Minimum Aberration or Optimal Moments

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2000Optimal blocking of two-level fractional factorial designs 2007Functionally Induced Priors for the Analysis of Experiments

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