Generalized Rank Annihilation Factor Analysis
Interim technical rept.
WASHINGTON UNIV ST LOUIS MO DEPT OF CHEMISTRY
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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.
- Statistics and Probability