| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1147559 | Journal of Statistical Planning and Inference | 2016 | 9 Pages |
•An algorithm for constructing the RR-optimal designs for second-order models on the kk-cube is given.•An algorithm for constructing the RR-optimal designs for second-order models on the kk-ball is given.•The numerical results of RR-optimal designs for 2≤k≤252≤k≤25 are obtained by using the proposed algorithms.
The RR-optimality criterion introduced by Dette (1997) minimizes the volume of Bonferroni tt-intervals. The present paper is devoted to the construction of RR-optimal designs for second-order response surface models with k≥1k≥1 predictors. An equivalence theorem are given as an important tool for determining the RR-optimal designs. The algorithms are given for constructing the RR-optimal designs for second-order response surface models on the kk-dimensional unit cube and ball, respectively. Numerical results of the RR-optimal designs for 2≤k≤252≤k≤25 are obtained by using the proposed algorithms.
