Construction of Efficient Mixed-Level Fractional Factorial Designs

References

• Atkinson, A. C. and Donev, A. N. (1989). “The Construction of Exact D-Optimal Designs with Application to Blocking Response Surface Designs”. Biometrika 76, pp. 515–526.
   Web of Science ®Google Scholar
• Booth, K. H. V. and Cox, D. R. (1962 1). “Some Systematic Supersaturated Designs”. Technometrics 4, pp. 489–495.
   Web of Science ®Google Scholar
• Borkowski, J. J. (2003). “Using a Genetic Algorithm to Genetic Small Exact Response Surface Designs”. Journal of Probability and Statistical Science 1, pp. 65–88.
   Google Scholar
• DeCock, D. and Stufken, J. (2000). “On Finding Mixed Orthogonal Designs of Strength 2 with Many 2-Level Factors”. Statistics & Probability Letters 50, pp. 383–388.
   Web of Science ®Google Scholar
• Eccleston, J. A. and Hedayat, A. (1974). “On the Theory of Connected Designs: Characterization and Optimality”. The Annals of Statistics 2, pp. 1238–1255.
   Web of Science ®Google Scholar
• Fang, K.-T.; Lin, D. K. J.; and Liu, M.-Q. (2003a). “Optimal Mixed-Level Supersaturated Design”. Metrika 58, pp. 279–291.
   Web of Science ®Google Scholar
• Fang, K.-T; Ge, G.-N.; Liu, M.-Q.; and Qin, H. (2003b). “Construction of Minimum Generalized Aberration Designs”. Metrika 57, pp. 37–50.
   Web of Science ®Google Scholar
• Fedorov, V. V. (1972). Theory of Optimal Experiments. Academic Press, New York, NY.
   Google Scholar
• Guo, Y. (2003). “Construction of Efficient Fractional Factorial Designs”. Florida State University Thesis.
   Google Scholar
• Hedayat, A. S.; Sloane, N. J. A.; and Stufken, J. (1999). Orthogonal Designs Theory and Applications. Springer-Verlag, New York, NY.
   Google Scholar
• Heredia-Langner, A.; Carlyle, W. M.; Montgomery, D. C.; Borror, C. M.; and Runger, G. C. (2003). “Genetic Algorithm for the Construction of D-optimal Designs”. Journal of Quality Technology 35, pp. 28–46.
   Web of Science ®Google Scholar
• Heredia-Langner, A.; Montgomery, D. C.; Carlyle, W. M.; and Borror, C. M. (2004). “Model-Robust Optimal Designs: A Genetic Algorithm Approach”. Journal of Quality Technology 36, pp. 263–279.
   Web of Science ®Google Scholar
• Li, W. W. and Wu, C. F. J. (1997). “Columnwise–Pairwise Algorithms with Applications to the Construction of Supersaturated Designs”. Technometrics 39, pp. 171–179.
   Web of Science ®Google Scholar
• Lu, X.; Li, W.; and Xie, M. (2006). “A Class of Nearly Orthogonal Arrays”. Journal of Quality Technology 38, pp. 148–161.
   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
• Mitchell, T. J. (1974). “An Algorithm for the Construction of D-Optimal Designs”. Technometrics 20, pp. 203–210.
   Web of Science ®Google Scholar
• Mitchell, T. J. and Miller, F. L. (1970). “Use of Design Repair to Construct Designs for Special Linear Models”. Math. Div. Ann. Progr. Rept. (Tennessee, 1970), pp. 130–131.
   Google Scholar
• Mukerjee, R. and Wu, C. F. J. (2001). “Minimum Aberration Designs for Mixed Factorials in Terms of Complementary Sets”. Statistica Sinica 11, pp. 225–239.
   Web of Science ®Google Scholar
• Nguyen, N. (1996). “A Note on the Construction of Near-Orthogonal Designs with Mixed Levels and Economic Run Size”. Technometrics 38, pp. 279–283.
   Web of Science ®Google Scholar
• Nguyen, N. and Miller, A. J. (1992). “A Review of Some Exchange Algorithms for Constructing Discrete D-Optimal Designs”. Computational Statistics & Data Analysis 14, pp. 489–498.
   Web of Science ®Google Scholar
• Ortiz, J. F.; Simpson, R. J.; and Pignatiello, J. J. (2004). “A Genetic Algorithm Approach to Multiple-Response Optimization”. Journal of Quality Technology 36, pp. 432–450.
   Web of Science ®Google Scholar
• Wang, J. C. and Wu, C. F. J. (1991). “An Approach to the Construction of Asymmetrical Orthogonal Designs” Journal of the American Statistical Association 86, pp. 450–456.
   Web of Science ®Google Scholar
• Wang, J. C. and Wu, C. F. J. (1992). “Nearly Orthogonal Designs with Mixed Levels and Small Runs”. Technometrics 34, pp. 409–422.
   Web of Science ®Google Scholar
• Wang, J. C. (1996). “Mixed Difference Matrices and the Construction of Orthogonal Designs”. Statistics & Probability Letters 28, pp. 121–126.
   Web of Science ®Google Scholar
• Wynn, H. P. (1970). “The Sequential Generation of D-Optimal Experimental Designs”. Ann. Math. Stat. 41, pp. 1644–1655.
   Google Scholar
• Xu, H. (2002). “An Algorithm for Constructing Orthogonal and Nearly-Orthogonal Designs with Mixed Levels and Small Runs”. Technometrices 44, pp. 356–368.
   Web of Science ®Google Scholar
• Xu, H. and Wu, C. F. J. (2001). “Generalized Minimum Aberration for Asymmetrical Fractional Factorial Designs”. The Annals of Statistics 29, pp. 1066–1077.
   Web of Science ®Google Scholar
• Yamada, S. and Lin, K. J. (2002). “Construction of Mixed-Level Supersaturated Designs”. Metrika 56, pp. 205–214.
   Web of Science ®Google Scholar
• Yamada, S. and Matsui, T. (2002). “Optimality of Mixed-Level Supersaturated Designs”. Journal of Statistical Planning and Inference 104, pp. 459–468.
   Web of Science ®Google Scholar