OPTIMAL FRACTIONAL FACTORIAL PLANS FOR MAIN EFFECTS ORTHOGONAL TO TWO- FACTOR INTERACTIONS: 2 TO THE mth POWER SERIES

Abstract

A general theory of balanced 2 to the mth power fractional factorial designs are developed which permit estimation of main effects orthogonally to 2- factor interactions and the general mean, whose size N is desirably small, and which are optimal with respect to various standard criteria involving the variance-covariance matrix of the estimates. For various practical values of m and N, a method is given by which such optimal designs can be easily obtained from known balanced incomplete block designs.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1969
Accession Number
AD0697398

Entities

People

  • D A Anderson
  • J. N. Srivastava

Organizations

  • Colorado State University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Air Force Facilities
  • Assembly
  • Colorado
  • Combinatorial Analysis
  • Contracts
  • Covariance
  • Department Of Defense
  • Efficiency
  • Factorial Design
  • Government Procurement
  • Governments
  • Mathematical Analysis
  • Numbers
  • Standards
  • United States

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Regression Analysis.