Proportional Frequency Designs

Abstract

In 1945 Finney introduced the procedure, known as fractional replication, which permitted the uncorrelated estimation of some of the effects and interactions when only a fraction of the full factorial arrangement was used. The standard method of constructing fractional replicate plans is to first choose an identity relationship and then deduce from this relationship the appropriate treatment combinations. By utilizing the assumption that the higher order interaction effects are negligible this standard procedure permits the estimation of the remaining effects. For the symmetrical factorial structure (all factors having the same number of levels) the standard procedure yields uncorrelated estimates due to the condition of equal frequencies of the factor levels.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1963
Accession Number
ADP014618

Entities

People

  • Sidney Addelman

Organizations

  • RTI International

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Construction
  • Contrast
  • Efficiency
  • Equations
  • Experimental Data
  • Experimental Design
  • Frequency
  • Guarantees
  • Identities
  • Integrals
  • Military Research
  • Orthogonality
  • Polynomials
  • Standards
  • Technical Information Centers

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.