507
Views
24
CrossRef citations to date
0
Altmetric
Original Articles

Constructing General Orthogonal Fractional Factorial Split-Plot Designs

, &
Pages 488-502 | Received 01 Oct 2012, Published online: 18 Nov 2015

References

  • Anbari, F.T., Lucas, J.M. (2008), Designing and Running Super-efficient Experiments: Optimum Blocking With One Hard-to-Change Factor, Journal of Quality Technology, 40, 31–45.
  • Bingham, D.R., Schoen, E.D., Sitter, R.R. (2004), Designing Fractional Factorial Split-Plot Experiments With Few Whole-Plot Factors, Journal of the Royal Statistical, Series C, 53, 325–339. (. Corrigendum, 54, 955958.)
  • Bingham, D.R., Sitter, R.R. (1999), Minimum-Aberration Two-Level Fractional Factorial Split-Plot Designs, Technometrics, 41, 62–70.
  • Capehart, S.R., Keha, A., Kulahci, M., Montgomery, D.C. (2011), Designing Fractional Factorial Split-Plot Experiments Using Integer Programming, International Journal of Experimental Design and Process Optimisation, 2, 34–57.
  • Cheng, C.S., Tsai, P.W. (2009), Optimal Two-level Regular Fractional Block and Split-Plot Designs, Biometrika, 96, 83–93.
  • Deng, L.Y., Tang, B. (1999), Generalized Resolution and Minimum Aberration Criteria for Plackett-Burman and Other Nonregular Factorial Designs, Statistica Sinica, 9, 1071–1082.
  • Deng, L.Y., Tang, B. (2002), Design Selection and Classification for Hadamard Matrices Using Generalized Minimum Aberration Criteria, Technometrics, 44, 173–184.
  • Garroi, J.J., Goos, P., Sörensen, K. (2009), A Variable-Neighbourhood Search Algorithm for Finding Optimal Run Orders in the Presence of Serial Correlation, Journal of Statistical Planning and Inference, 139, 30–44.
  • Hamada, M., Wu, C. F.J. (1992), Analysis of Designed Experiments With Complex Aliasing, Journal of Quality Technology, 24, 130–137.
  • Hansen, P., Mladenović, N., Pérez, J. A.M. (2008), Variable Neighborhood Search: Methods and Applications, 4OR, 6, 309–360.
  • Huang, P., Chen, D., Voelkel, J.O. (1998), Minimum-Aberration Two-Level Split-Plot Designs, Technometrics, 40, 314–326.
  • Jones, B., Goos, P. (2007), A Candidate-Set-Free Algorithm for Generating D-Optimal Split-Plot Designs, Journal of the Royal Statistical Society, Series C, 56, 347–364.
  • Jones, B., Nachtsheim, C.J. (2009), Split-Plot Designs: What, Why, and How, Journal of Quality Technology, 41, 340–361.
  • Kowalski, S. (2002), 24 Run Split-Plot Experiments for Robust Parameter Designs, Journal of Quality Technology, 34, 399–410.
  • Kulahci, M., Bisgaard, S. (2005), The Use of Plackett-Burman Designs to Construct Split-Plot Designs, Technometrics, 47, 495–501.
  • Loeppky, J.L., Sitter, R.R., Tang, B. (2007), Nonregular Designs With Desirable Projection Properties, Technometrics, 49, 454–467.
  • Mladenović, N., Hansen, P. (1997), Variable Neighborhood Search, Computers and Operations Research, 24, 1097–1100.
  • Montgomery, D. C. (2004), Design and Analysis of Experiments ( 6th ed.), New York: Wiley.
  • Sartono, B., Goos, P., Schoen, E.D. (2012), Classification of Three-Level Strength-3 Arrays, Journal of Statistical Planning and Inference, 142, 794–809.
  • Sartono, B., Schoen, E. D., and Goos, P.2015 “Blocking Orthogonal Designs With Mixed Integer Linear Programming,” Technometrics, 57, 428--439.
  • Schoen, E.D. (1999), Designing Fractional Two-Level Experiments With Nested Error Structures, Journal of Applied Statistics, 26, 495–508.
  • Schoen, E.D., Eendebak, P.T., Nguyen, V.M. (2010), Complete Enumeration of Pure-Level and Mixed-Level Orthogonal Arrays, Journal of Combinatorial Designs, 18, 123–140.
  • Schoen, E.D., Mee, R.W. (2012), Two-Level Designs of Strength 3 and up to 48 Runs, Journal of the Royal Statistical Society, Series C, 61, 163–174.
  • Schoen, E.D., Sartono, B., Goos, P. (2013), Optimal Blocking for General Resolution-3 Designs, Journal of Quality Technology, 45, 166–187.
  • Schoen, E.D., Wolff, K. (1997), Design and Analysis of a Fractional 413125 Split-Plot Experiment, Journal of Applied Statistics, 24, 409–419.
  • Tichon, J.G., Li, W., Mcleod, R.G. (2012), Generalized Minimum Aberration Two-Level Split-Plot Designs, Journal of Statistical Planning and Inference, 142, 1407–1414.
  • Trinca, L.A., Gilmour, S.G. (2001), Multistratum Response Surface Designs, Technometrics, 43, 25–33.
  • Xu, H., Wu, C. F.J. (2001), Generalized Minimum Aberration for Asymmetrical Fractional Factorial Designs, Annals of Statistics, 29, 1066–1077.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.