MVC2: A MATLAB graphical interface toolbox for second-order multivariate calibration

Abstract A new MATLAB graphical interface toolbox for implementing third-order multivariate calibration methodologies is discussed. Multivariate calibration 3 (MVC3) is a sequel of the already described first-order (MVC1) and second-order (MVC2) toolboxes. MVC3 accepts a variety of ASCII data for input, depending on whether the third-order data are vectorized or matricized. If required, data for sample sets are arranged into four-way arrays for processing with several quadrilinear and non-quadrilinear algorithms. Quadrilinear decomposition techniques and latent structured models based on partial least-squares regression and residual trilinearization are included in the software. Appropriate working sensor regions in the three data dimensions can be selected. Model development and its subsequent application to unknown samples are straightforward from the interface. Prediction results are provided along with analytical figures of merit and standard concentration errors, as calculated by modern concepts of uncertainty propagation.

[1]  Jamin C. Hoggard,et al.  Comprehensive two-dimensional gas chromatography time-of-flight mass spectrometry analysis of metabolites in fermenting and respiring yeast cells. , 2006, Analytical chemistry.

[2]  Santiago A. Bortolato,et al.  Chemometrics-assisted excitation-emission fluorescence spectroscopy on nylon membranes. Simultaneous determination of benzo[a]pyrene and dibenz[a,h]anthracene at parts-per-trillion levels in the presence of the remaining EPA PAH priority pollutants as interferences. , 2008, Analytical chemistry.

[3]  I Durán-Merás,et al.  On line photochemically induced excitation-emission-kinetic four-way data: analytical application for the determination of folic acid and its two main metabolites in serum by U-PLS and N-PLS/residual trilinearization (RTL) calibration. , 2008, Analytica chimica acta.

[4]  Rolf Sundberg,et al.  Second-order calibration: bilinear least squares regression and a simple alternative , 1998 .

[5]  R. Bro,et al.  A new efficient method for determining the number of components in PARAFAC models , 2003 .

[6]  Alejandro C. Olivieri,et al.  Trilinear least-squares and unfolded-PLS coupled to residual trilinearization: New chemometric tools for the analysis of four-way instrumental data , 2006 .

[7]  Hai-Long Wu,et al.  Alternating penalty quadrilinear decomposition algorithm for an analysis of four‐way data arrays , 2007 .

[8]  Alejandro C. Olivieri,et al.  A versatile strategy for achieving the second-order advantage when applying different artificial neural networks to non-linear second-order data: Unfolded principal component analysis/residual bilinearization , 2008 .

[9]  A. Olivieri,et al.  A closed‐form expression for computing the sensitivity in second‐order bilinear calibration , 2005 .

[10]  A. J. Girón,et al.  Four-way calibration applied to the simultaneous determination of folic acid and methotrexate in urine samples , 2006 .

[11]  Hai-Long Wu,et al.  Excitation-emission-kinetic fluorescence coupled with third-order calibration for quantifying carbaryl and investigating the hydrolysis in effluent water. , 2009, Talanta.

[12]  A. Muñoz de la Peña,et al.  Evaluation of unfolded-partial least-squares coupled to residual trilinearization for four-way calibration of folic acid and methotrexate in human serum samples. , 2007, Talanta.

[13]  P. Gemperline,et al.  Advantages of soft versus hard constraints in self-modeling curve resolution problems. Alternating least squares with penalty functions. , 2003, Analytical chemistry.

[14]  Alejandro C. Olivieri,et al.  MVC1: an integrated MatLab toolbox for first-order multivariate calibration , 2004 .

[15]  A. Olivieri Sample‐specific standard prediction errors in three‐way parallel factor analysis (PARAFAC) exploiting the second‐order advantage , 2004 .

[16]  Andres D Campiglia,et al.  Four-way data coupled to parallel factor model applied to environmental analysis: determination of 2,3,7,8-tetrachloro-dibenzo-para-dioxin in highly contaminated waters by solid-liquid extraction laser-excited time-resolved Shpol'skii spectroscopy. , 2005, Analytical chemistry.

[17]  Romà Tauler,et al.  A graphical user-friendly interface for MCR-ALS: a new tool for multivariate curve resolution in MATLAB , 2005 .

[18]  Patricia C Damiani,et al.  Four-way kinetic-excitation-emission fluorescence data processed by multi-way algorithms. Determination of carbaryl and 1-naphthol in water samples in the presence of fluorescent interferents. , 2010, Analytica chimica acta.

[19]  N. M. Faber,et al.  Uncertainty estimation and figures of merit for multivariate calibration (IUPAC Technical Report) , 2006 .

[20]  S. Wold,et al.  Residual bilinearization. Part 1: Theory and algorithms , 1990 .

[21]  Alejandro C. Olivieri,et al.  Standard error of prediction in parallel factor analysis of three-way data , 2004 .

[22]  R. Bro PARAFAC. Tutorial and applications , 1997 .

[23]  Alejandro C. Olivieri,et al.  A combined artificial neural network/residual bilinearization approach for obtaining the second‐order advantage from three‐way non‐linear data , 2005 .

[24]  David M. Haaland,et al.  Partial least-squares methods for spectral analyses. 2. Application to simulated and glass spectral data , 1988 .

[25]  E. V. Thomas,et al.  Partial least-squares methods for spectral analyses. 1. Relation to other quantitative calibration methods and the extraction of qualitative information , 1988 .

[26]  Florentina Cañada-Cañada,et al.  Nonlinear four-way kinetic-excitation-emission fluorescence data processed by a variant of parallel factor analysis and by a neural network model achieving the second-order advantage: malonaldehyde determination in olive oil samples. , 2008, Analytical chemistry.

[27]  Gabriela A Ibañez,et al.  Three-way partial least-squares/residual bilinearization study of second-order lanthanide-sensitized luminescence excitation-time decay data: analysis of benzoic acid in beverage samples. , 2008, Analytica chimica acta.

[28]  Alejandro C Olivieri,et al.  New Robust Bilinear Least Squares Method for the Analysis of Spectral-pH Matrix Data , 2005, Applied spectroscopy.

[29]  Dwight R Stoll,et al.  Analysis of four-way two-dimensional liquid chromatography-diode array data: application to metabolomics. , 2006, Analytical chemistry.

[30]  Yang Li,et al.  A novel trilinear decomposition algorithm for second-order linear calibration , 2000 .

[31]  Alejandro C Olivieri,et al.  Analytical advantages of multivariate data processing. One, two, three, infinity? , 2008, Analytical chemistry.

[32]  A. Olivieri On a versatile second‐order multivariate calibration method based on partial least‐squares and residual bilinearization: Second‐order advantage and precision properties , 2005 .

[33]  J. A. Arancibia,et al.  Second-order advantage achieved with four-way fluorescence excitation-emission-kinetic data processed by parallel factor analysis and trilinear least-squares. Determination of methotrexate and leucovorin in human urine. , 2004, Analytical chemistry.

[34]  Alejandro C Olivieri,et al.  Computing sensitivity and selectivity in parallel factor analysis and related multiway techniques: the need for further developments in net analyte signal theory. , 2005, Analytical chemistry.

[35]  Alejandro García-Reiriz,et al.  Multiway partial least-squares coupled to residual trilinearization: a genuine multidimensional tool for the study of third-order data. Simultaneous analysis of procaine and its metabolite p-aminobenzoic acid in equine serum. , 2007, Analytical chemistry.

[36]  Hai-Long Wu,et al.  An alternating trilinear decomposition algorithm with application to calibration of HPLC–DAD for simultaneous determination of overlapped chlorinated aromatic hydrocarbons , 1998 .

[37]  R. Bro Multiway calibration. Multilinear PLS , 1996 .

[38]  Hai-Long Wu,et al.  Alternating penalty trilinear decomposition algorithm for second‐order calibration with application to interference‐free analysis of excitation–emission matrix fluorescence data , 2005 .

[39]  Alejandro García-Reiriz,et al.  Experimental study of non-linear second-order analytical data with focus on the second-order advantage. , 2007, The Analyst.

[40]  Héctor C. Goicoechea,et al.  MULTIVAR. A program for multivariate calibration incorporating net analyte signal calculations , 2000 .

[41]  Ronei J. Poppi,et al.  Second- and third-order multivariate calibration: data, algorithms and applications , 2007 .