Some response surface designs for finding optimal conditions. (English) Zbl 0692.62062
Summary: This paper deals with the use of the notion of \(D_ s\)-optimality for certain response surface designs. Previous work indicates that for detection of the nature of the response surface system and for the computation of optimum conditions, estimation of second order terms is very important. As a result, \(D_ s\)-optimality is a natural approach.
The central composite design, two variable equiradial design and the Box- Behnken design are the subjects of the study. Designs are tabulated for the case of \(D_ s\) and D-optimality. For the central composite design ‘weights’ are established which are associated with factorial, star, and center points. These weights are to be applied in cases where the user has the capability to replicate the design points.
The central composite design, two variable equiradial design and the Box- Behnken design are the subjects of the study. Designs are tabulated for the case of \(D_ s\) and D-optimality. For the central composite design ‘weights’ are established which are associated with factorial, star, and center points. These weights are to be applied in cases where the user has the capability to replicate the design points.
MSC:
| 62K05 | Optimal statistical designs |
| 62K99 | Design of statistical experiments |
| 62Q05 | Statistical tables |
Keywords:
Ds-optimality; response surface designs; computation of optimum conditions, estimation of second order terms; central composite design; two variable equiradial design; Box-Behnken design; D-optimality; weightsReferences:
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