A three-stage variable selection method for supersaturated designs

References

• Beattie, S. D., Fong, D. K. H., Lin, D. K. J. (2002). A two-stage Bayesian model selection strategy for supersaturated designs. Technometrics 44:55–63.
   Google Scholar
• Booth, K. H. V., Cox, D. R. (1962). Some systematic supersaturated designs. Technometrics 4:489–495.
   Google Scholar
• Chen, R. B., Weng, J. Z., Chu, C. H. (2013). Screening procedure for supersaturated designs using a Bayesian variable selection method. Quality and Reliability Engineering International 29:89–101.
   Google Scholar
• Chipman, H., Hamada, H., Wu, C. F. J. (1997). A Bayesian variable-selection approach for analyzing designed experiments with complex aliasing. Technometrics 39:372–381.
   Google Scholar
• George, E. I., McMulloch, R. E. (1993). A statistical view of some chemometrics regression tools. Technometrics 35:109–148.
   Google Scholar
• Georgiou, S. D. (2008). Modelling by supersaturated designs. Computational Statistics & Data Analysis 53:428–435.
   Google Scholar
• Hamada, C. A., Hamada, M. S. (2010). All-subsets regression under effect heredity restrictions for experimental designs with complex aliasing. Quality and Reliability Engineering International 26:75–81.
   Google Scholar
• Holcomb, D. R., Montgomery, D. C., Carlyle, W. M. (2003). Analysis of supersaturated designs. Journal of Quality Technology 35:13–27.
   Google Scholar
• Li, P., Zhao, S. L., Zhang, R. C. (2010). A cluster analysis selection strategy for supersaturated designs. Computational Statistics & Data Analysis 54:1605–1612.
   Google Scholar
• Li, R., Lin, D. K. J. (2003). Analysis methods for supersaturated design: Some comparisons. Journal of Data Science 1:249–260.
   Google Scholar
• Lin, D. K. J. (1993). A new class of supersaturated designs. Technometrics 35:28–31.
   Google Scholar
• Liu, M. Q., Fang, K. T., Hickernell, F. J. (2006). Connections among different criteria for asymmetrical fractional factorial designs. Statistica Sinica 16:1285–1297.
   Google Scholar
• Liu, Y., Liu, M. Q. (2011). Construction of optimal supersaturated design with large number of levels. Journal of Statistical Planning and Inference 141:2035–2043.
   Google Scholar
• Lu, X., Wu, X. (2004). A strategy of searching active factors in supersaturated screening experiments. Journal of Quality Technology 36:392–399.
   Google Scholar
• Marley, C. J., Woods, D. C. (2010). A comparison of design and model selection methods for supersaturated experiments. Computational Statistics & Data Analysis 54:3158–3167.
   Google Scholar
• Phoa, F. K. H. (2014). The stepwise response refinement screener (SRRS). Statistica Sinica 24:197–210.
   Google Scholar
• Phoa, F. K. H., Pan, Y. H., Xu, H. (2009). Analysis of supersaturated designs via the Dantzig selector. Journal of Statistical Planning and Inference 139:2362–2372.
   Google Scholar
• Rais, F., Kamoun, A., Chaabouni, M., Claeys-Bruno, M., Phan-Tan-Luu, R., Sergent, M. (2009). Supersaturated design for screening factors in sequencing the preparation of sulfated amides of olive pomace oil fatty acids. Chemometrics and Intelligent Laboratory Systems 99:71–78.
   Google Scholar
• Satterthwaite, F. E. (1959). Random balance experimentation. Technometrics 1:111–137.
   Google Scholar
• Sun, F. S., Lin, D. K. J., Liu, M. Q. (2011). On construction of optimal mixed-level supersaturated designs. Annals of Statistics 39:1310–1333.
   Google Scholar
• Westfall, P. H., Young, S. S., Lin, D. K. J. (1998). Forward selection error control in the analysis of supersaturated designs. Statistica Sinica 8:101–117.
   Google Scholar
• Wu, C. F. J. (1993). Construction of supersaturated designs through partially aliased interactions. Biometrika 80:661–669.
   Google Scholar
• Wu, C. F. J., Hamada, M. (2009). Experiments: Planning, Analysis, and Optimization. 2nd ed. New York: Wiley.
   Google Scholar
• Yin, Y. H., Zhang, Q. Z., Liu, M. Q. (2013). A two-stage variable selection strategy for supersaturated designs with multiple responses. Frontiers of Mathematics in China 8:717–730.
   Google Scholar
• Zhang, Q. Z., Zhang, R. C., Liu, M. Q. (2007). A method for screening active effects in supersaturated designs. Journal of Statistical Planning and Inference 137:2068–2079.
   Google Scholar