Modeling Temperature Data: An Illustration of the Use of Biplots and Bimodels in Non-Linear Modeling.

Abstract

The paper describes a strategy for exploration and modeling of multivariate data. The data illustrated are temperatures at 50 North, Central and South American stations; the techniques rely heavily on lower rank approximation, biplot and binomial display, least squares fitting, and examination of residuals. The biplot/bimodel display is shown to reveal the relation of temperatures to various geographical features, (No new meteorological findings are claimed--the example is used mainly to illustrate the technique.) More strikingly, the bimodel shows an elliptical configuration of the markers for the different months. The paper shows how this ellipse implies a harmonic model for the temperatures themselves. This model makes good physical sense and its parameters are readily understood in meteorological terms. Some summary comments are made about the usefulness of biplots and bimodels for diagnosing models that may fit the data. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1981
Accession Number
ADA114169

Entities

People

  • K. Ruben Gabriel
  • Michael C. Tsianco

Organizations

  • University of Rochester

Tags

Communities of Interest

  • Biomedical
  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Altitude
  • Data Analysis
  • Data Mining
  • Data Science
  • Factor Analysis
  • Information Science
  • Latitude
  • Least Squares Method
  • Longitude
  • Meteorology
  • Models
  • Multivariate Analysis
  • New York
  • South America
  • Statistical Analysis
  • Statistics
  • Three Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Climatology
  • Regression Analysis.