Generalized Rank Annihilation Factor Analysis

Abstract

The method of rank annihilation is shown to be a particular case of a more general method for quantitation in bilinear data arrays such as LC/UV, GC/ MS or emission-excitation fluorescence. Generalized rank annihilation is introduced as a calibration method that allows for simultaneous quantitative determination of all the analyses of interest in a mixture of unknowns. Only one calibration mixture is required. The bilinear spectra of both unknown and calibration sample must be obtained. Bilinear target factor analysis is introduced as a projection of a target bilinear matrix onto another principal component bilinear matrix space. Keywords: Multivariate analysis; Principal component regression (PCR); Two-dimensional data; Singular value decomposition; and Pseudoinverse.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1985
Accession Number
ADA160851

Entities

People

  • Bruce R. Kowalski
  • Eugenio Sanchez

Organizations

  • University of Washington

Tags

Communities of Interest

  • Sensors
  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Analytical Chemistry
  • California
  • Chemistry
  • Eigenvalues
  • Eigenvectors
  • Emission Spectra
  • Engineering
  • Equations
  • Factor Analysis
  • Governments
  • Military Research
  • New York
  • Standards
  • Two Dimensional
  • United States
  • Virginia

Readers

  • Analytical Chemistry
  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.

Technology Areas

  • Space