Optimal Regression Models for Multivariate Analysis (Factor Analysis).

Abstract

Multivariate regression models are presented which are optimally responsive to measured variation in experimental data. Tabulated values of fitting functions are taken from selected eigenvectors of the cross-products matrix. Models are developed for bivariate and trivariate experiments. The lattice and non-lattice situations are examined. Numerical applications include the reduction, interpolation, and graphical presentation of experimental data. Statistical applications originated with the 'factor analysis' techniques employed in experimental psychology. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1971
Accession Number
AD0730019

Entities

People

  • D. R. Cruise

Organizations

  • Naval Air Weapons Station China Lake

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Data Science
  • Eigenvectors
  • Experimental Data
  • Factor Analysis
  • Information Science
  • Interdisciplinary Science
  • Interpolation
  • Mathematical Analysis
  • Mathematics
  • Multivariate Analysis
  • Psychology
  • Statistical Analysis
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.