Two Enhancements of the Logarithmic Least-Squares Method for Analyzing Subjective Comparisons

Abstract

This memorandum presents two extension of the logarithmic least- squares method for analyzing subjective comparisons. The first is a test of consistency that is based on analysis-of-variance techniques. Unlike Saaty's eigenvalue-based consistency ratio, the consistency metric developed here is independent of any scale used to elicit comparisons. It is easily applied to sets of comparisons that are incomplete or contain multiple comparisons. This metric provides valuable insights into the trade-off between data set completeness and our ability to detect inconsistency. The second extension is to use robust regression for calculating the ratio scale that best represents most of the data. These extensions combine to make the logarithmic least-squares method an attractive alternative to Saaty's eigenvalue method. Keywords: Test of normality; Statistical tests.

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Document Details

Document Type
Technical Report
Publication Date
Mar 25, 1989
Accession Number
ADA211192

Entities

People

  • Michael L. Mccurdy

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Classification
  • Consistency
  • Data Science
  • Eigenvalues
  • Equations
  • Hierarchies
  • Information Science
  • Least Squares Method
  • Monte Carlo Method
  • Normality
  • Plastic Explosives
  • Probability
  • Random Variables
  • Statistical Algorithms
  • Statistical Tests
  • Statistics

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