Discriminatory Analysis - Nonparametric Discrimination: Small Sample Performance

Abstract

A classification procedure is worked out for the following situations: Two large samples, one from each of two populations, have been observed. An individual of unknown origin is to be classified as belonging to the first population if the majority of a specified odd number of individuals closet to the individual in question belong to the first population. This method has optimum properties when the number of closest individuals is permitted to be very large. For certain cases involving multivariate normal distributions with the same covariance matrix, the probabilities of possible misclassification have been computed and compared with those of the discriminant function method.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1952
Accession Number
ADA800391

Entities

People

  • Evelyn Fix
  • J. L. Hodges Jr.

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Air Force
  • Aviation Medicine
  • Classification
  • Computations
  • Covariance
  • Discrimination
  • Discriminators
  • Errors
  • Measurement
  • Normal Distribution
  • Numerical Integration
  • Observation
  • Plastic Explosives
  • Probability
  • Random Variables
  • Three Dimensional
  • War Colleges

Fields of Study

  • Mathematics

Readers

  • Mathematics or Statistics
  • Regression Analysis.