A Comparison of the Eigenvalue Method and the Geometric Mean Procedure for Ratio Scaling

Abstract

This article evaluates and compares the performance of two methods of ratio scaling: the eigenvalue method , and the geometric mean procedure. When the methods are used on random data. The methods were examined in a series of Monte Carlo simulations for two response methods (direct estimation and constant sum), and for various numbers of stimuli and response scales. The sampling distributions of the measures of consistency of the two methods were tabulated, rules for detecting and rejecting inconsistent respondents are outlined, and approximation formulas for other designs are derived. OVerall, there was a high level of agreement and correspondence between the results from the two scaling techniques, even when the data were random. Keywords: Ratio scaling; Scaling techniques; Psychometrics; Geometric mean procedure; Eigenvalue method; Psychological measurement; Reprints.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1987
Accession Number
ADA200011

Entities

People

  • Amnon Rapoport
  • David V. Budescu
  • Rami Zwick

Organizations

  • University of North Carolina at Chapel Hill

Tags

DTIC Thesaurus Topics

  • Availability
  • Classification
  • Consistency
  • Eigenvalues
  • Measurement
  • Military Research
  • Monte Carlo Method
  • North Carolina
  • Psychological Tests
  • Sampling
  • Security
  • Simulations
  • Social Sciences

Readers

  • Linear Algebra
  • Regression Analysis.