Comparison of Response Surface Designs in a Spherical Region
The objective of the research is to study and compare
response surface designs: Central composite designs (CCD), Box-
Behnken designs (BBD), Small composite designs (SCD), Hybrid
designs, and Uniform shell designs (USD) over sets of reduced models
when the design is in a spherical region for 3 and 4 design variables.
The two optimality criteria ( D and G ) are considered which larger
values imply a better design. The comparison of design optimality
criteria of the response surface designs across the full second order
model and sets of reduced models for 3 and 4 factors based on the
two criteria are presented.
[1] Mathworks Inc., Matlab Version 7.1, 2010.
[2] Chipman, H.A., "Baysian variable selection with related predictors,"
The Canadian Journal of Statistics, vol. 24, pp.17-36, 1996.
[3] Borkowski, J.J. and Valeroso, E.S., "Comparison of design optimality
criteria of reduced models for response designs in the hypercube,"
Technometrics, vol. 43, pp. 468-477, 2001.
[1] Mathworks Inc., Matlab Version 7.1, 2010.
[2] Chipman, H.A., "Baysian variable selection with related predictors,"
The Canadian Journal of Statistics, vol. 24, pp.17-36, 1996.
[3] Borkowski, J.J. and Valeroso, E.S., "Comparison of design optimality
criteria of reduced models for response designs in the hypercube,"
Technometrics, vol. 43, pp. 468-477, 2001.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:60487", author = "Boonorm Chomtee and John J. Borkowski", title = "Comparison of Response Surface Designs in a Spherical Region", abstract = "The objective of the research is to study and compare
response surface designs: Central composite designs (CCD), Box-
Behnken designs (BBD), Small composite designs (SCD), Hybrid
designs, and Uniform shell designs (USD) over sets of reduced models
when the design is in a spherical region for 3 and 4 design variables.
The two optimality criteria ( D and G ) are considered which larger
values imply a better design. The comparison of design optimality
criteria of the response surface designs across the full second order
model and sets of reduced models for 3 and 4 factors based on the
two criteria are presented.", keywords = "design optimality criteria, reduced models, response
surface design, spherical design region", volume = "6", number = "5", pages = "588-4", }