SOME OPTIMUM REGRESSION DESIGNS FOR DISCRIMINATING BETWEEN TWO MODELS.

Abstract

Very often two or more mathematical models are proposed for relating the system performance to selected variables which may affect the performance. In order to obtain the correct model statistical techniques must be provided for discriminating between models and for designing an experiment which minimizes the probability of selecting the incorrect model. Because of convenience in analyses and partly because of precedence experimenters frequently select designs which require an equal number of observations at each of several equally spaced levels. However, the results of this paper indicate that for purposes of discrimination between models the best allocation of the experimental points and the numbers of observations is not the one typically used. Many of the results given herein apply to the discrimination between a hyperbolic and a linear model; however, the techniques and some of the results have general application to other model forms. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 27, 1967
Accession Number
AD0649931

Entities

People

  • A. C. Nelson Jr.

Organizations

  • RTI International

Tags

DTIC Thesaurus Topics

  • Discrimination
  • Mathematical Models
  • Models
  • Observation
  • Probabilistic Models
  • Probability

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Organizational Psychology.
  • Theoretical Analysis.

Technology Areas

  • Space
  • Space - Space Objects