Recent Developments in the Design of Factorial Experiments

Sidney Addelman

37 citations0/0 files storedJournal of the American Statistical Association

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Optimal Experimental Design Methods Advanced Combinatorial Mathematics Statistical Methods and Applications

Abstract

Since 1965 almost all of the contributions to the design and analysis of factorial experiments have involved fractional factorial plans. These contributions may be categorized by three main classes of plans which are: (a) fractions of asymmetrical factorial arrangements, (b) irregular fraction plans and (c) sequences of fractional factorial plans. In this article the development of the design of factorial experiments since 1965 will be outlined. Some of the plans described have not as yet appeared in the statistical literature.

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References

1951On the Experimental Attainment of Optimum Conditions 1992The Arrangement of Field Experiments 1962Orthogonal Main-Effect Plans for Asymmetrical Factorial Experiments 2000The 2 k-p Fractional Factorial Designs Part I 1961The 2 k-p Fractional Factorial Designs Part I 1943THE FRACTIONAL REPLICATION OF FACTORIAL ARRANGEMENTS 1962Symmetrical and Asymmetrical Fractional Factorial Plans 1933The principles of orthogonality and confounding in replicated experiments. (With Seven Text-figures.)

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2015On the construction of asymmetric orthogonal arrays

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