Accession Number:

ADA160851

Title:

Generalized Rank Annihilation Factor Analysis

Descriptive Note:

Interim technical rept.

Corporate Author:

WASHINGTON UNIV ST LOUIS MO DEPT OF CHEMISTRY

Personal Author(s):

Report Date:

1985-10-01

Pagination or Media Count:

19.0

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 LCUV, 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.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE