An Alternative to Correspondence Analysis Using Hellinger Distance.

Abstract

In this paper, a general theory of canonical coordinates is developed for reduction of dimensionality in multivariate data, assessing the loss of information and plotting higher dimensional data in two or three dimensions for visual displays. The theory is applied to data in two way tables with variables in one category and samples (individual or populations) in the other. The method is applicable to data with continuous measurements on the variables as well as to frequencies of attributes. An alternative distance is suggested. The new method has some attractive features and does not suffer from some inherent drawbacks resulting from the use of the chi-square distance and variable sample sizes for the populations in the correspondence analysis. The technique of biplots where the populations and the variables are represented on the same chart is discussed.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1997
Accession Number
ADA325255

Entities

People

  • Calyampudi Radhakrishna Rao

Organizations

  • Pennsylvania State University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Data Analysis
  • Data Science
  • Demography
  • Dimensionality Reduction
  • Factor Analysis
  • Frequency
  • Information Science
  • Measurement
  • Multivariate Analysis
  • Plotting
  • Random Variables
  • Square Roots
  • Statistical Analysis
  • Statistics
  • United States Government
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Theoretical Analysis.