Canonical Coordinates for Graphical Representation of Multivariate Data.

Abstract

A general theory is developed for representing population profiles characterized by multiple measurements in a low dimensional Euclidean space. The basic inputs of the problem are a matrix of distances between population profiles and the weights to be attached to different population profiles. The derived coordinates in the reduced space are called canonical coordinates. A well known method for representing row or column profiles in a contingency table using a chisquare type distance between profiles is the correspondence analysis. It is suggested that a similar analysis based on Hellinger distance between profiles has some advantages and is better suited for studying the configuration of profiles. An asymmetric biplot technique which is useful in interpreting differences in row (column) profiles in terms of column (row) categories is developed.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1996
Accession Number
ADA321055

Entities

People

  • Calyampudi Radhakrishna Rao

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Data Analysis
  • Data Science
  • Deficiencies
  • Factor Analysis
  • Frequency
  • Governments
  • Information Science
  • Measurement
  • Military Research
  • Multivariate Analysis
  • Numbers
  • Square Roots
  • Statistics
  • Two Dimensional
  • United States Government
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Aerodynamics.
  • Calculus or Mathematical Analysis
  • Regression Analysis.

Technology Areas

  • Space