Design Issues in Fractional Factorial Split-Plot Experiments

Derek Bingham · Randy R. Sitter

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Optimal Experimental Design Methods Advanced Combinatorial Mathematics Simulation Techniques and Applications

Abstract

It is often impractical to perform the experimental runs of a fractional factorial in a completely random order. In these cases, restrictions on the randomization of the experimental trials are imposed and the design is said to have a split-plot structure. Similar to fractional factorials, the “goodness” of fractional factorial split-plot designs can be judged using the minimum aberration criterion. However, the split-plot nature of the design implies that not all factorial effects can be estimated with the same precision. In this paper, we discuss the impact of the randomization restrictions on the design. We show how the split-plot structure affects estimation, precision, and the use of resources. We demonstrate how these issues affect design selection in a real industrial experiment.

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References

1998Design and Analysis of Experiments 2007Design and Analysis of Experiments 1952The Design and Analysis of Experiments 1989Quick and Easy Analysis of Unreplicated Factorials 1980Minimum Aberration 2k–pDesigns 1993A Catalogue of Two-Level and Three-Level Fractional Factorial Designs with Small Runs 1992Split-plot designs for robust product experimentation 1999Minimum-Aberration Two-Level Fractional Factorial Split-Plot Designs

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2003D-Optimal Split-Plot Designs With Given Numbers and Sizes of Whole Plots 2003Fractional Factorial Split-Plot Designs for Robust Parameter Experiments 2007A Candidate-Set-Free Algorithm for Generating D-Optimal Split-Plot Designs 2004Designing Fractional Factorial Split-Plot Experiments with Few Whole-Plot Factors 2006Practical Inference from Industrial Split-Plot Designs 2006Tutorial: Industrial Split-plot Experiments

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