Searching for D-Efficient Equivalent-Estimation Second-Order Split-Plot Designs

References

• Arnouts, H. and Goos, P. (2010). “Update Formulas for Split-Plot and Block Designs”. Computational Statistics and Data Analysis 54, pp. 3381–3391.
   Web of Science ®Google Scholar
• Box, G. E. P. and Wilson, K. B. (1951). “On the Experimental Attainment of Optimum Conditions”. Journal of the Royal Statistical Society, Series B 13, pp. 1–45.
   Web of Science ®Google Scholar
• Box, G. E. P. and Behnken, D. W. (1960). “Some New Three Level Designs for the Study of Quantitative Variables”. Technometrics 2, pp. 455–477.
   Google Scholar
• Goos, P. (2006). “Optimal Versus Orthogonal and Equivalent-Estimation Design of Blocked and Split-Plot Experiments”. Statistica Neerlandica 60, pp. 361–378.
   Web of Science ®Google Scholar
• Goos, P. and Vandebroek, M. (2001). “Optimal Split-Plot Designs”. Journal of Quality Technology 33, pp. 436–450.
   Web of Science ®Google Scholar
• Goos, P. and Vandebroek, M. (2003). “D-Optimal Split-Plot Designs with Given Numbers and Sizes of Whole Plots”. Technometrics 45, pp. 235–245.
   Web of Science ®Google Scholar
• Goos, P. and Vandebroek, M. (2004). “Outperforming Completely Randomized Designs”. Journal of Quality Technology 36, pp. 12–26.
   Web of Science ®Google Scholar
• Großmann H. and Gilmour S. G. (2013). “Partially Orthogonal Blocked Three-Level Response Surface Designs”. Unpublished manuscript.
   Google Scholar
• Jones, B. and Goos, P. (2007). “A Candidate-Set-Free Algorithm for Generating D-Optimal Split-Plot Designs”. Journal of the Royal Statistical Society, Series C 56, pp. 347–364.
   Web of Science ®Google Scholar
• Jones, B. and Goos, P. (2012). “An Algorithm for Finding D-Efficient Equivalent-Estimation Second-Order Split-Plot Designs”. Journal of Quality Technology 44, pp. 363–374.
   Web of Science ®Google Scholar
• Jones, B., and Nachtsheim, C. J. (2011). “A Class of Three Level Designs for Definitive Screening in the Presence of Second-Order Effects”. Journal of Quality Technology 43, pp. 1–15.
   Web of Science ®Google Scholar
• Jones, B. and Nachtsheim, C. J. (2009). “Split-Plot Designs: What, Why and How?” Journal of Quality Technology 41, pp 340–361.
   Web of Science ®Google Scholar
• Kowalski, S. M.; Parker, P. A.; and Vining, G. G. (2007). “Tutorial: Industrial Split-Plot Experiments”. Quality Engineering 19, pp. 1–15.
   Google Scholar
• Macharia, H. and Goos, P. (2010). “D-Optimal and D-Efficient Equivalent-Estimation Second-Order Split-Plot Designs”. Journal of Quality Technology 42, pp. 358–372.
   Web of Science ®Google Scholar
• Meyer, R. K. and Nachtsheim, C. J. (1995). “The Coordinate Exchange Algorithm for Constructing Exact Optimal Experimental Designs”. Technometrics 37, pp. 60–69.
   Web of Science ®Google Scholar
• Mylona, K.; Macharia, H.; and Goos, P. (2013). “Three-Level Equivalent-Estimation Split-Plot Designs Based on Subset and Supplementary Difference Set Designs”. IIE Transactions 45, pp. 1153–1165.
   Web of Science ®Google Scholar
• Nguyen, N. K. (1996). “An Algorithmic Approach to Constructing Supersaturated Designs”. Technometrics 38, pp. 69–73.
   Web of Science ®Google Scholar
• Nguyen, N. K. and Stylianou, S. (2013). “Constructing Definitive Screening Designs Using Cyclic Generators”. Journal of Statistics Theory and Practice. Accepted author version posted online: 14 March 2013.
   Google Scholar
• Parker, P. A.; Kowalski, S. M.; and Vining, G. G. (2006). “Classes of split-Plot Response Surface Designs for Equivalent-Estimation”. Quality and Reliability Engineering International 22, pp. 291–305.
   Web of Science ®Google Scholar
• Parker, P. A.; Kowalski, S. M.; and Vining, G. G. (2007). “Construction of Balanced Equivalent-Estimation Second-Order Split-Plot Designs”. Technometrics 49, pp. 56–65.
   Web of Science ®Google Scholar
• Trinca, L. A. and Gilmour, S. G. (2000). “An Algorithm for Arranging Response Surface Designs in Small Blocks”. Computational Statistics and Data Analysis 33, pp. 25–43.
   Web of Science ®Google Scholar
• Trinca, L. A. and Gilmour, S. G. (2002) “Erratum to ‘An Algorithm for Arranging Response Surface Designs in Small Blocks”’. Computational Statistics and Data Analysis 40, p. 475.
   Web of Science ®Google Scholar
• Vining, G. G.; Kowalski, S. M.; and Montgomery, D. C. (2005). “Response Surface Designs Within a Split-Plot Structure. Journal of Quality Technology 37, pp. 115–129.
   Web of Science ®Google Scholar