Modified Robust Second-Order Slope-Rotatable Designs

References

• Atkinson, A.C. (1970). The design of experiments to estimate the slope of a response surface. Biometrika 57:319–328.
   Web of Science ®Google Scholar
• Bischoff, W. (1996). On maximin designs for correlated observations. Stat. Prob. Lett. 26:357–363.
   Web of Science ®Google Scholar
• Box, G. E.P., Hunter, J.S. (1957). Multifactor experimental designs for exploring response surfaces. Ann. Math. Stat. 28:195–241.
   Google Scholar
• Das, R.N. (1997). Robust second order rotatable designs: Part-I (RSORD). Cal. Stat. Assoc. Bull. 47:199–214.
   Google Scholar
• Das, R.N. (2003a). Slope rotatability with correlated errors. Cal. Stat. Assoc. Bull. 54:57–70.
   Google Scholar
• Das, R.N. (2003b). Robust second order rotatable designs: Part-III (RSORD). J. Indian Soc. Agricult. Stat. 56(2):117–130.
   Google Scholar
• Das, R.N. (2004). Construction and analysis of robust second order rotatable designs. J. Stat. Theory Appl. 3:325–343.
   Google Scholar
• Das, R.N., Park, S.H. (2006). Slope rotatability over all directions with correlated errors. Appl. Stochastic Models Bus. Ind. 22:445–457.
   Web of Science ®Google Scholar
• Das, R.N., Park, S.H. (2007). A measure of robust rotatability for second order response surface designs. J. Korean Stat. Soc. 36(4):557–578.
   Web of Science ®Google Scholar
• Das, R.N., Park, S.H. (2008). On efficient robust rotatable designs with autocorrelated errors. J. Korean Stat. Soc. 37(2):97–106.
   Web of Science ®Google Scholar
• Das, R.N., Park, S.H. (2009). A measure of robust slope rotatability for second order response surface designs. J. Appl. Stat. 36(7):755–767.
   Web of Science ®Google Scholar
• Das, R.N., Park, S.H., Aggarwal, M. (2010a). Robust second order slope-rotatable designs with maximum directional variance. Commun. Stat. 39(5):803–814.
   Google Scholar
• Das, R.N., Park, S.H., Aggarwal, M. (2010b). On D-optimal robust second order slope-rotatable designs. J. Stat. Plann. Inference 140(5):1269–1279.
   Web of Science ®Google Scholar
• Gennings, C., Chinchilli, V.M., Carter, W. H. Jr (1989). Response surface analysis with correlated data: A non-linear model approach. J. Am. Stat. Assoc. 84:805–809.
   Web of Science ®Google Scholar
• Hader, R.J., Park, S.H. (1978). Slope-rotatable central composite designs. Technometrics 20:413–417.
   Web of Science ®Google Scholar
• Huda, S. (2006). Design of experiments for estimating differences between responses and slopes of the response. In: Khuri, A.I., eds. Response Surface Methodology and Related Topics (pp. 427–446) Singapore: World Scientific Publishing.
   Google Scholar
• Huda, S., Benkherouf, L. (2010). Rotatability is a sufficient condition for A- and D-rotatability. Commun. Stat.–Simul. Comp. 39:1174–1182.
   Web of Science ®Google Scholar
• Kiefer, J., Wynn, H.P. (1984). Optimum and minimax exact treatment designs for one-dimensional autoregressive error processes. Ann. Stat. 12:431–449.
   Web of Science ®Google Scholar
• Mukherjee, R., Huda, S. (1985). Minimax second and third order designs to estimate the slope of a response surface. Biometrika 72:173–178.
   Web of Science ®Google Scholar
• Murty, V.N., Studden, W.J. (1972). Optimal designs for estimating the slope of a polynomial regression. J. Am. Stat. Assoc. 67:869–873.
   Web of Science ®Google Scholar
• Myers, R.H., Lahoda, S.J. (1975). A generalization of the response surface mean square error criterion with a specific application to the slope. Technometrics. 17:481–486.
   Web of Science ®Google Scholar
• Myers, R.H., Montgomery, D.C., Vining, G.G. (2002). Generalized Linear Models with Applications in Engineering and the Sciences. New York: Wiley.
   Google Scholar
• Myers, R.H., Montgomery, D.C., Vining, G.G., Borrow, C.M., Kowalski, S.M. (2004). Response surface methodology: A retrospective and literature survey. J. Quality Technol. 36:53–77.
   Web of Science ®Google Scholar
• Panda, R.N., Das, R.N. (1994). First order rotatable designs with correlated errors. Cal. Stat. Assoc. Bull. 44:83–101.
   Google Scholar
• Park, S.H. (2006). Concepts of slope-rotatability for second order response surface designs. In: Khuri, A.I., eds. Response Surface Methodology and Related Topics (pp. 409–426) Singapore: World Scientific Publishing.
   Google Scholar
• Park, S.H., Jung, S.H., Das, R.N. (2009). Slope rotatability of second order response surface regression models with correlated errors. J. Quality Technol. Quality Manage. 6(4):471–493.
   Web of Science ®Google Scholar
• Victorbabu, B.R. (2005). Modified slope rotatable central composite designs. J. Korean Stat. Soc. 34:153–160.
   Google Scholar
• Victorbabu, B.R. (2006). Modified second order slope rotatable designs using balanced incomplete block designs. J. Korean Stat. Soc. 35:179–192.
   Google Scholar
• Victorbabu, B.R. (2009). Modified second-order slope rotatable designs with equi-spaced levels. J. Korean Stat. Soc. 38:59–63.
   Web of Science ®Google Scholar
• Victorbabu, B.R., Vasundharadevi, V. (2005). Modified second order response surface designs using balanced incomplete block designs. Sri Lankan J. Appl. Stat. 6:1–11.
   Google Scholar