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Psychometrika

, Volume 16, Issue 1, pp 31–50 | Cite as

Classification by multivariate analysis

  • T. W. Anderson
Article

Abstract

The problem considered is the use of a set of measurements on an individual to decide from which of several populations he has been drawn. It is assumed that in each population there is a probability distribution of the measurements. Principles for choosing the rule of classification are based on costs of misclassification. Optimum procedures are derived in general terms. If the measurements are normally distributed, the procedures use one discriminant function in the case of two populations and several discriminant functions in the cases of more populations. The numerical example given involves three normal populations.

Keywords

Multivariate Analysis Probability Distribution Public Policy Statistical Theory General Term 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Psychometric Society 1951

Authors and Affiliations

  • T. W. Anderson
    • 1
  1. 1.Columbia UniversityUSA

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