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

Abstract

The authors 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, test treatment or control, to an experimental unit. This paper shall consider 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 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
Mar 01, 1987
Accession Number
ADA185277

Entities

People

  • A. S. Hedayat
  • Dibyen Majumdar
  • Mike Jacroux

Organizations

  • University of Illinois at Chicago

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  • Air Platforms

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  • Algorithms
  • Classification
  • Combinatorial Analysis
  • Computer Science
  • Construction
  • Contrast
  • Efficiency
  • Elimination
  • Families (Human)
  • Heterogeneity
  • Illinois
  • Mathematics
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  • Educational Psychology
  • Regression Analysis.