Accession Number:

AD0733054

Title:

The Optimization of Response Surface Designs.

Descriptive Note:

Themis optimization research program,

Corporate Author:

TEXAS A AND M UNIV COLLEGE STATION INST OF STATISTICS

Personal Author(s):

Report Date:

1971-10-01

Pagination or Media Count:

98.0

Abstract:

The report applies the techniques of non-convex non-linear programming to the problem of optimizing experimental designs in response surface analysis. Specifically, response surfaces which are quadratic or cubic in the input factors are considered. The region of experimentation is bounded by hyperplanes but specifically hypercubes are considered in the evaluation of optimum designs. The procedure employs the Rosen projected gradient method with a statistical sample of starting points. The objective function employed is the generalized variance of the estimated effect coefficients in the estimated response surface analysis. The report also contains a critical evaluation of this objective function and a comparison with the techniques by Box and Draper which has been successfully used in small scale problems. Author

Subject Categories:

  • Statistics and Probability
  • Test Facilities, Equipment and Methods

Distribution Statement:

APPROVED FOR PUBLIC RELEASE