Recent Discoveries on A-Optimal Designs for Comparing Test Treatments with Controls.

Abstract

This document to introduce the problem with an example. How should we design an experiment to compare 4 test treatments with a control, using 18 experimental units? As a statistical question we will not be able to answer it unless it is asked in a more precise manner. To begin with we need to postulate a model for the response observed upon application of a treatment or control, to an experimental unit. This paper considers three possible models: 1) O-way elimination of heterogeneity model in which all experimental units are homogeneous before application of treatments, 2) 1-way elimination of heterogeneity model in which the experimental units can be divided into several homogeneous blocks, and 3) 2-way elimination of heterogeneity model in which the experimental units can be conceptually arranged according to rows and columns.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1986
Accession Number
ADA174945

Entities

People

  • A. S. Hedayat
  • Dibyen Majumdar

Organizations

  • University of Illinois at Chicago

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  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Classification
  • Combinatorial Analysis
  • Computer Science
  • Construction
  • Continents
  • Contrast
  • Efficiency
  • Elimination
  • Geographic Regions
  • Heterogeneity
  • Illinois
  • Mathematics
  • Standards
  • Statistics
  • Theses
  • Universities

Readers

  • Regression Analysis.
  • Theoretical Analysis.