Abstract
The analysis of spectral measurement data sets using local factor analysis (LFA) requires the rank of the sub-matrix under study to be equal to the number of absorbing species present in the associated sub-system. However, because of mass balance or kinetic constraints, LFA will fail if local rank deficiency occurs. A local rank deficiency sub-system may be present in a global full-rank reaction system or a rank-deficient one. In this paper, the problems occurring when using window target-testing factor analysis (WTTFA), one type of the LFA methods, in a local rank-deficient situation are shown. A new augmented WTTFA (AWTTFA) is then proposed for the correct use of WTTFA when rank deficiency occurs. Principles of this new method have been demonstrated by a simulated kinetic system and an industrial batch data set.
Original language | English |
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Pages (from-to) | 1-8 |
Number of pages | 8 |
Journal | Analytica Chimica Acta |
Volume | 575 |
Issue number | 1 |
DOIs | |
Publication status | Published - 4-Aug-2006 |
Keywords
- Local factor analysis (LFA)
- Local rank deficiency
- Rank deficiency
- Window target-testing factor analysis (WTTFA)