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Three-level equivalent-estimation split-plot designs based on subset and supplementary difference set designs

  • MYLONA, Kalliopi
  • MACHARIA, Harrison
  • GOOS, Peter

In many industrial experiments, complete randomization of the runs is impossible as, often, they involve factors whose levels are hard or costly to change. In such cases, the split-plot design is a cost-efficient alternative that reduces the number of independent settings of the hard-to-change factors. In general, the use of generalized least squares is required for model estimation based on data from split-plot designs. However, the ordinary least squares estimator is equivalent to the generalized least squares estimator for some split-plot designs, including some second-order split-plot response surface designs. These designs are called equivalent-estimation designs. An important consequence of the equivalence is that basic experimental design software can be used for model estimation. We introduce two new families of equivalent-estimation split-plot designs, one based on subset designs and another based on supplementary difference set designs. The resulting designs complement existing catalogs of equivalent-estimation designs and allow for a more flexible choice of the number of hard-to-change factors, the number of easy-to-change factors, the number and size of whole plots and the total sample size. We show that the newly proposed designs possess good predictive properties when compared to D-optimal split-plot designs.

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Paper provided by University of Antwerp, Faculty of Applied Economics in its series Working Papers with number 2011010.

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Length: 29 pages
Date of creation: Jul 2011
Date of revision:
Handle: RePEc:ant:wpaper:2011010
Contact details of provider: Postal: Prinsstraat 13, B-2000 Antwerpen
Web page: https://www.uantwerp.be/en/faculties/applied-economic-sciences/

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  1. JONES, Bradley & GOOS, Peter, . "A candidate-set-free algorithm for generating D-optimal split-plot designs," Working Papers 2006006, University of Antwerp, Faculty of Applied Economics.
  2. MACHARIA, Harrison & GOOS, Peter, 2010. "D-optimal and D-efficient equivalent-estimation second-order split-plot designs," Working Papers 2010011, University of Antwerp, Faculty of Applied Economics.
  3. Peter Goos, 2006. "Optimal versus orthogonal and equivalent-estimation design of blocked and split-plot experiments," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 60(3), pages 361-378.
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