title: A review on second- and third-order multivariate calibration applied to chromatographic data.
abstract: Quantitative analytical works developed by processing second- and third-order chromatographic data are reviewed. The various modes in which data of complex structure can be measured are discussed, with chromatographic separation providing either one or two of the data dimensions. This produces second-order data (matrices from uni-dimensional chromatography with multivariate detection or from two-dimensional chromatography) or third-order data (three-dimensional data arrays from two-dimensional chromatography with multivariate detection). The available algorithms for processing these data are classified and discussed, regarding their ability to cope with the ubiquitous phenomenon of retention time shifts from run to run. A summary of relevant works applying this combination of techniques is presented, with focus on quantitative analytical results. Special attention is paid to works achieving the full potentiality of the multidimensional data, i.e., the second-order advantage.
authors.affiliation: Departamento de Química Analítica, Facultad de Ciencias Bioquímicas y Farmacéuticas, Universidad Nacional de Rosario, Instituto de Química de Rosario- IQUIR-CONICET, Suipacha 531, Rosario S2002LRK, Argentina.
authors.forename: Juan A
authors.initials: JA
authors.lastname: Arancibia
authors.forename: Patricia C
authors.initials: PC
authors.lastname: Damiani
authors.forename: Graciela M
authors.initials: GM
authors.lastname: Escandar
authors.forename: Gabriela A
authors.initials: GA
authors.lastname: Ibañez
authors.forename: Alejandro C
authors.initials: AC
authors.lastname: Olivieri
mesh_terms: D000465:Algorithms; D002138:Calibration; D002845:Chromatography / Q000379:methods / Q000592:standards*; D057225:Data Mining / Q000379:methods*; D015999:Multivariate Analysis