Chemometrics I: Multivariate Calibration, A Tutorial [quimiometria I: Calibração Multivariada, Um Tutorial]

The aim of this work is to present a tutorial on Multivariate Calibration, a tool which is nowadays necessary in basically most laboratories but very often misused. The basic concepts of preprocessing, principal component analysis (PCA), principal component regression (PCR) and partial least squares (PLS) are given. The two basic steps on any calibration procedure: model building and validation are fully discussed. The concepts of cross validation (to determine the number of factors to be used in the model), leverage and studentized residuals (to detect outliers) for the validation step are given. The whole calibration procedure is illustrated using spectra recorded for ternary mixtures of 2,4,6 trinitrophenolate, 2,4 dinitrophenolate and 2,5 dinitrophenolate followed by the concentration prediction of these three chemical species during a diffusion experiment through a hydrophobic liquid membrane. MATLAB software is used for numerical calculations. Most of the commands for the analysis are provided in order to allow a non-specialist to follow step by step the analysis.225724731Vandeginste, B.G.M., (1987) Top. Curr. Chem., 141, p. 1Araki, T., Tsukube, H., (1990) Liquid Membranes: Chemical Applications, , CRC Press, Boca RatonMartens, H., Naes, T., (1989) Multivariate Calibration, , John Wiley & Sons. New YorkHaaland, D.M., Thomas, E.V., (1988) Anal. Chem., 60, p. 1193Malinowski, E.R., (1991) Factor Analysis in Chemistry, , John Wiley & Sons, New YorkBeebe, K.R., Pell, R.J., Seasholtz, M.B., (1998) Chemometrics: A Practical Guide, , Wiley, New YorkGeladi, P., Kowalski, B.R., (1986) Anal. Chim. Acta, 755, p. 1Golub, G.H., Van Loan, C.F., (1989) Matrix Computation, , The John Hopkins University Press, LondonWold, H., (1966) Research Papers in Statistics, p. 411. , Daid, F.Ed.Wiley, New YorkKowalski, B.R., Seasholtz, M.B., (1991) J. Chemom., 5, p. 129Lorber, A., Wangen, L., Kowalski, B.R., (1987) J. Chemom., 1, p. 19Wold, S., (1978) Technometrics, 20, p. 397Welsch, R.E., (1983) Technometrics, 25, p. 24