On the analysis of unbalanced two-level supersaturated designs via generalized linear models

References

• Agresti, A. (2002). Categorical Data Analysis, 2nd ed., New York: John Wiley & Sons.
   Google Scholar
• Allen, T. T., Bernshteyn, M. (2003). Supersaturated designs that maximize the probability of identifying active factors. Technometrics 45:90–97.
   Google Scholar
• Balakrishnan, N., Koukouvinos, C., Parpoula, C. (2013). An information theoretical algorithm for analyzing supersaturated designs for a binary response. Metrika 76:1–18.
   Google Scholar
• Booth, K. H. V., Cox, D. R. (1962). Some systematic supersaturated designs. Technometrics 4:489–495.
   Google Scholar
• Box, G. E. P., Meyer, R. D. (1986). An analysis for unreplicated fractional factorials. Technometrics 28:11–18.
   Google Scholar
• Cameron, A. C., Trivedi, P. K. (1998). Regression Analysis of Count Data. New York: Cambridge University Press.
   Google Scholar
• Chatterjee, K., Koukouvinos, C., Parpoula, C. (2016). Computer-aided unbalanced supersaturated designs involving interactions. Journal of Statistical Computation and Simulation 86:756–770.
   Google Scholar
• Edwards, D. J., Mee, R. W (2011). Supersaturated designs: Are our results significant?Computational Statistics and Data Analysis 55:2652–2664.
   Google Scholar
• Erdman, D., Jackson, L., Sinko, A. (2008). Zero-inflated Poisson and zero-inflated negative binomial models using the COUNTREG Procedure. Paper 322-2008, Cary, NC: SAS Institute Inc.
   Google Scholar
• Georgiou, S. D. (2014). Supersaturated designs: A review of their construction and analysis. Journal of Statistical Planning and Inference 144:92–109.
   Google Scholar
• Gilmour, S. G. (2006). Factor screening via supersaturated designs. In: Dean, A., Lewis, S., eds. Screening Methods for Experimentation in Industry, Drug Discovery, and Genetics. New York: Springer-Verlag, pp. 169–190.
   Google Scholar
• Gupta, V. K., Bhar, L. M., Parsad, R., Kole, B. (2009a). Efficient unbalanced mixed-level supersaturated designs. Journal of Statistics and Applications 4:433–445.
   Google Scholar
• Gupta, V. K., Singh, P., Kole, B., Parsad, R. (2009b). Construction of efficient unbalanced mixed-level supersaturated designs. Statistics and Probability Letters 79:2359–2366.
   Google Scholar
• Hilbe, J. M. (2008). Negative Binomial Regression. New York: Cambridge University Press.
   Google Scholar
• Jones, B., Lin, D. K. J., Nachtsheim, C. J. (2008). Bayesian D-optimal supersaturated designs. Journal of Statistical Planning and Inference 138:86–92.
   Google Scholar
• Jones, B., Majumdar, D. (2014). Optimal Supersaturated Designs. Journal of the American Statistical Association 109(508):1592–1600.
   Google Scholar
• Lewis, S. M., Dean, A. M. (2001). Detection of interactions in experiments on large numbers of factors (with discussion). Journal of the Royal Statistical Society, Ser. B 63:633–672.
   Google Scholar
• Lin, D. K. J. (1993). Another look at first-order saturated designs: The p-efficient designs. Technometrics 35:284–292.
   Google Scholar
• Lin, D. K. J. (1995). Generating systematic supersaturated designs. Technometrics 37:213–225.
   Google Scholar
• Liu, Y., Dean, A. (2004). k-Circulant supersaturated designs. Technometrics 46:32–43.
   Google Scholar
• Marley, C. (2010). Screening experiments using supersaturated designs with application to industry, University of Southampton, Faculty of Social and Human Sciences School of Mathematics, PhD Thesis.
   Google Scholar
• Marley, C., Woods, D. (2010). A comparison of design and model selection methods for supersaturated experiments. Computational Statistics and Data Analysis 54:3158–3167.
   Google Scholar
• McCullagh, P., Nelder, J. A. (1989). Generalized Linear Models. 2nd ed. London: Chapman and Hall.
   Google Scholar
• Myers, R. H., Montgomery, D. C., Vining, G. G., Robinson, T. J. (2010). Generalized Linear Models: with Applications in Engineering and the Sciences. 2nd ed. New York: John Wiley and Sons.
   Google Scholar
• Nguyen, N. K. (1996). An algorithmic approach to constructing supersaturated designs. Technometrics 38:69–73.
   Google Scholar
• Suen, C. S., Das, A. (2010). E(s2)-optimal supersaturated designs with odd number of runs. Journal of Statistical Planning and Inference 140:1398–1409.
   Google Scholar