Abstract
A method is presented for testing the equality of some or all (constrained or unconstrained) optima in a response surface analysis. An estimator of a common location of stationary points is obtained by a standard multivariate testing procedure and a confidence region associated with the common optimum is derived. The procedure is illustrated by the estimation of a common optimum in a multiple response experiment. The multivariate approach facilitates a more efficient estimation of the optimum than the usual univariate response surface analysis and provides additional tests of the response surface model.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1001-1008 |
| Number of pages | 8 |
| Journal | Biometrics |
| Volume | 45 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jan 1 1989 |
ASJC Scopus subject areas
- Statistics and Probability
- Biochemistry, Genetics and Molecular Biology(all)
- Immunology and Microbiology(all)
- Agricultural and Biological Sciences(all)
- Applied Mathematics