Notes on the Use and Interpretation of Discriminant Analysis

This article focuses on two problems in applications of discriminant analysis in political research: first, evaluating the success of classification, and, second, determining the importance of predictor variables when the classification variable is a polychotomy. Discussion of the former rejects the existing procedures for evaluating classification success and advances an empirical simulation technique that is more appropriate. Discussion of the latter focuses on canonical correlation analysis and the misleading and inappropriate conclusions that may be drawn when the categorical variable is a polychotomy. Most important, this second discussion advances an alternative interpretation of eigenvalues; presents the redundancy measure, which is the appropriate measure of association between the independent variable set and the multi-categorical variable set; and suggests a method of evaluating the importance of the independent variables and the multi-categories of the group variable. We illustrate our discussion with random number data. Finally, we apply the techniques advanced in a public policy analysis

Categorical variable · Data mining · Discriminant · Econometrics · Interpretation (philosophy · Linear discriminant analysis · Machine learning · Measure (data warehouse · Redundancy (engineering · Set (abstract data type · Statistics · Variable (mathematics · Variables · Artificial Intelligence · Computer Science · Diverse Academic Research Areas · Mathematics

• Examining the criminal justice and criminological paradigms

  Jonathan R Sorensen, Alan Widmayer et al.•Journal of Criminal Justice…•1994

  Añadir item

• Discriminant function analyses in archaeology

  Open Access•Kris Kovarovic, Leslie C Aiello et al.•Journal of Archaeological Science•2011

  Añadir item

• Urban Neighborhoods, Black Residents, and Homicide Risk

  Paula D Mcclain•Urban Geography•1984

  Añadir item

• Situational and Attitudinal Explanations of Police Behavior

  Open Access•Robert E Worden•Law & Society Review•1989

  Añadir item

• Region and Voting in Britain, 1979-87

  I Mcallister, Donley T Studlar•American Journal of Political…•1992

  Añadir item

• Canonical Analysis and Factor Comparison

  Mark Levine, M J Levine•Canonical Analysis and Factor…•1977

  Añadir item

• Discriminant Analysis

  William R Klecka, William Klecka•Discriminant Analysis•1980

  Añadir item

• Relations Between Two Sets of Variates

  Harold Hotelling•Biometrika•1936

  Añadir item

• The Use of Multiple Measurements in Taxonomic Problems

  Open Access•R A Fisher•Annals of Eugenics•1936

  Añadir item

• A general canonical correlation index

  Douglas Stewart, Douglas O Stewart et al.•Psychological Bulletin•1968

  Añadir item

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  James L Gibson•The Journal of Politics•1977

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• Probing the Bounds of Conventional Wisdom

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• Predicting City Government Structure

  Thomas R Dye, Susan A Macmanu et al.•American Journal of Political…•1976

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• Recruitment of Women to Public Office

  Open Access•Susan Welch•The Western Political Quarterly•1978

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