Circular Balanced Repeated Measurements Designs.

Abstract

The concept of a circular design is defined and when proper balance for various effects is assumed, its universal optimality is proved over the class of all designs with the same parameters. Such designs are shown to minimize the variance of the best linear unbiased estimators of contrasts of residual and direct effects over the class of equireplicated designs. All models assume first order residual effects and are of circular nature. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1979
Accession Number
ADA074234

Entities

People

  • Constantin Magda

Organizations

  • University of Illinois at Chicago

Tags

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Classification
  • Contrast
  • Estimators
  • Experimental Design
  • Illinois
  • Integrals
  • Mathematics
  • Measurement
  • Observation
  • Random Variables
  • Residuals
  • Scientific Research
  • Statistical Algorithms
  • Universities

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.