CONSTRAINED DESIGNS. PART I. FIRST ORDER DESIGNS.

Abstract

A common problem in industrial research is determining a cause and effect relationship between one or more quantitative variables, such as weight, volume or length, and some response such as performance or yield. In many problems the 'true' functional form relating the variables to the response is unknown. However, we can often 'graduate' this function in some particular region of interest by a polynomial or other flexible interpolation function. The task of the experimenter then becomes that of checking the adequacy of the graduating function, estimating the values of its coefficients and obtaining estimates of their precision and that of the fitted response.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1966
Accession Number
AD0647417

Entities

People

  • C. J. Gardner
  • George E. P. Box

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Cooperation
  • Industrial Research
  • Interpolation
  • Mathematics
  • Polynomials
  • Precision

Fields of Study

  • Mathematics

Readers

  • Instructional Design and Training Evaluation.
  • Statistical inference.
  • Systems Analysis and Design