Method for Design Rotation

Abstract

All rotations of a response surface design can be obtained by making planar rotations in the set of planes defined by every pair of the coordinate axes. Standard multivariate optimization routines may then be used to optimize a criterion for the desirability of a rotation as a function of the set of planar angles. Criteria for the symmetry of the design (such as the same set of factor levels for all factors) and for the size of the design region (changed by rescaling after the rotation) are developed. The hexagon design, the two-factor central composite design, the four-factor complex number design of Hardin and Sloan (1992), and the eight-factor uniform shell design are rotated to obtain a larger region, a symmetric treatment of the factors, or both.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1993
Accession Number
ADA272440

Entities

People

  • Ronald B. Crosier

Organizations

  • Edgewood Chemical Biological Center

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Complex Numbers
  • Composite Materials
  • Design Criteria
  • Equations
  • Experimental Design
  • Genetic Algorithms
  • Mathematics
  • Numbers
  • Optimization
  • Simplex Method
  • Square Roots
  • Standards
  • Statistics
  • Symmetry
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Regression Analysis.