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Update formulas for split-plot and block designs

Listed author(s):
  • ARNOUTS, Heidi
  • GOOS, Peter

For the algorithmic construction of optimal experimental designs, it is important to be able to evaluate small modi_cations of given designs in terms of the optimality criteria at a low computational cost. In this article, we propose update formulas for evaluating the impact of changes to the levels of easy-to-change factors and hard-to-change factors in split-plot designs as well as the impact of a swap of points between blocks or whole plots in block designs or split-plot designs.

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Paper provided by University of Antwerp, Faculty of Applied Economics in its series Working Papers with number 2008022.

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Length: 14 pages
Date of creation: Dec 2008
Handle: RePEc:ant:wpaper:2008022
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  1. Nguyen, Nam-Ky & Miller, Alan J., 1992. "A review of some exchange algorithms for constructing discrete D-optimal designs," Computational Statistics & Data Analysis, Elsevier, vol. 14(4), pages 489-498, November.
  2. Kessels, Roselinde & Goos, Peter & Vandebroek, Martina, 2008. "Optimal designs for conjoint experiments," Computational Statistics & Data Analysis, Elsevier, vol. 52(5), pages 2369-2387, January.
  3. J. A. John & D. Whitaker, 2000. "Recursive formulae for the average efficiency factor in block and row-column designs," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(3), pages 575-583.
  4. Bradley Jones & Peter Goos, 2007. "A candidate-set-free algorithm for generating "D"-optimal split-plot designs," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 56(3), pages 347-364.
  5. Nguyen, Nam-Ky & Liu, Min-Qian, 2008. "An algorithmic approach to constructing mixed-level orthogonal and near-orthogonal arrays," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5269-5276, August.
  6. Goos, Peter & Vandebroek, Martina, 2001. "-optimal response surface designs in the presence of random block effects," Computational Statistics & Data Analysis, Elsevier, vol. 37(4), pages 433-453, October.
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