The Analysis of Dominance Matrices: Extraction of Unidimensional Orders within a Multidimensional Context

Abstract

A method of factor extraction specific to a binary matrix, illustrated here as a person-by-item response matrix, is presented. The extraction procedure, termed ERGO, differs from the more commonly implemented dimensionalizing techniques, factor analysis and multidimensional scaling, by taking into consideration item difficulty. The ERGO procedure uses the calculation of a dominance matrix which, for either persons or items, has the important attribute of allowing directionality to be inferred between relations.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1976
Accession Number
ADA029450

Entities

People

  • Thomas J. Reynolds

Organizations

  • University of Southern California

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  • Materials and Manufacturing Processes

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  • Boolean Algebra
  • California
  • Classification
  • Consistency
  • Data Analysis
  • Ethnic Groups
  • Factor Analysis
  • Hierarchies
  • Minority Groups
  • New York
  • Psychology
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  • United States
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Readers

  • Computational Modeling and Simulation
  • Psychometric Testing or Psychological Assessment.
  • Wetland-Land-Environmental Management.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference