Local factor analysis of rank-deficient reaction systemsXu, C. J., Gourvénec, S., Liang, Y. Z. & Massart, D. L., 4-Aug-2006, In : Analytica Chimica Acta. 575, 1, p. 1-8 8 p.
Research output: Contribution to journal › Article › Academic › peer-review
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.
|Number of pages||8|
|Journal||Analytica Chimica Acta|
|Publication status||Published - 4-Aug-2006|
- Local factor analysis (LFA), Local rank deficiency, Rank deficiency, Window target-testing factor analysis (WTTFA)