Multiway Data Analysis: Eigenvector-Based Methods

[1]  N. Faber GRAM satisfies Kruskal's condition , 2008 .

[2]  Li‐fu Liao,et al.  Determination of Sudan I in chilli powder from solvent components gradual change-visible spectra data using second order calibration algorithms. , 2008, Analytica chimica acta.

[3]  A. Abbaspour,et al.  Spectrophotometric determination of acidity constants by two-rank annihilation factor analysis. , 2008, Analytica chimica acta.

[4]  R. Bro,et al.  DOUBLESLICING: a non-iterative single profile multi-exponential curve resolution procedure. Application to time-domain NMR transverse relaxation data. , 2007, Journal of magnetic resonance.

[5]  Dwight R Stoll,et al.  Fast, comprehensive two-dimensional liquid chromatography. , 2007, Journal of chromatography. A.

[6]  A. Afkhami,et al.  Spectrophotometric investigation of the effect of beta-cyclodextrin on the intramolecular cyclization reaction of catecholamines using rank annihilation factor analysis. , 2007, Analytica chimica acta.

[7]  B. Antalek Using PGSE NMR for chemical mixture analysis: Quantitative aspects , 2007 .

[8]  Maryam Vosough,et al.  Second-order standard addition for deconvolution and quantification of fatty acids of fish oil using GC-MS. , 2007, Talanta.

[9]  M. Nilsson,et al.  Improved DECRA processing of DOSY data: correcting for non‐uniform field gradients , 2007, Magnetic resonance in chemistry : MRC.

[10]  M. C. Ortiz,et al.  Quantitative determination in chromatographic analysis based on n-way calibration strategies. , 2007, Journal of chromatography. A.

[11]  Romà Tauler,et al.  Factor analysis of hyphenated chromatographic data exploration, resolution and quantification of multicomponent systems. , 2007, Journal of chromatography. A.

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

[13]  H. Abdollahi,et al.  Tautomerization equilibria in aqueous micellar solutions: a spectrophotometric and factor-analytical study. , 2007, Langmuir : the ACS journal of surfaces and colloids.

[14]  R. Bro Review on Multiway Analysis in Chemistry—2000–2005 , 2006 .

[15]  R. Synovec,et al.  An absorbance-based micro-fluidic sensor for diffusion coefficient and molar mass determinations. , 2006, Analytica chimica acta.

[16]  Ulla-Karin Hultin,et al.  Multivariate chemometric approach to fiber-optic dissolution testing. , 2006, Analytical chemistry.

[17]  B. Antalek Accounting for spin relaxation in quantitative pulse gradient spin echo NMR mixture analysis. , 2006, Journal of the American Chemical Society.

[18]  U. Brinkman,et al.  Recent developments in comprehensive two-dimensional gas chromatography (GC x GC) II. Modulation and detection , 2006 .

[19]  A. Afkhami,et al.  Spectrophotometric determination of conditional acidity constant as a function of β-cyclodextrin concentration for some organic acids using rank annihilation factor analysis , 2006 .

[20]  Fang Zhang,et al.  Resolution of overlapping capillary electrophoresis peaks by using chemometric analysis: Improved quantification by using internal standard , 2006 .

[21]  Rasmus Bro,et al.  A comparison of algorithms for fitting the PARAFAC model , 2006, Comput. Stat. Data Anal..

[22]  H. Abdollahi,et al.  Simultaneous Spectrofluorometric Determination of Piroxicam and Pyridoxine Using Generalized Rank Annihilation Method , 2006, Analytical sciences : the international journal of the Japan Society for Analytical Chemistry.

[23]  Peter D. Wentzell,et al.  Approaching the direct exponential curve resolution algorithm from a maximum likelihood perspective , 2006 .

[24]  C. Fraga,et al.  The chemometric resolution and quantification of overlapped peaks form comprehensive two-dimensional liquid chromatography. , 2005, Journal of chromatography. A.

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

[26]  B. Hemmateenejad Characterization and prediction of solute properties in methanol–water association by chemometrics analysis of solvation data , 2005 .

[27]  Róbert Rajkó,et al.  Analytical solution for determining feasible regions of self‐modeling curve resolution (SMCR) method based on computational geometry , 2005 .

[28]  Trent D. Ridder,et al.  Framework for Multivariate Selectivity Analysis, Part II: Experimental Applications , 2005, Applied spectroscopy.

[29]  Christopher D. Brown,et al.  Framework for Multivariate Selectivity Analysis, Part I: Theoretical and Practical Merits , 2005, Applied spectroscopy.

[30]  M. Jalali-Heravi,et al.  Use of second-order calibration for residue screening of some triazines in the presence of coeluting interferences by gas chromatography–selected ion mass spectrometry , 2005 .

[31]  W. Li,et al.  Simultaneous determination of reaction order and rate constant by rank annihilation factor analysis from kinetic-spectral data , 2004 .

[32]  R. Synovec,et al.  Multivariate selectivity as a metric for evaluating comprehensive two-dimensional gas chromatography-time-of-flight mass spectrometry subjected to chemometric peak deconvolution. , 2004, Journal of chromatography. A.

[33]  Rasmus Bro,et al.  Multi-way Analysis with Applications in the Chemical Sciences , 2004 .

[34]  Ronei Jesus Poppi,et al.  Figures of merit for the determination of the polymorphic purity of carbamazepine by infrared spectroscopy and multivariate calibration. , 2004, Journal of pharmaceutical sciences.

[35]  F. Rius,et al.  Graphical criterion for assessing trilinearity and selecting the optimal number of factors in the generalized rank annihilation method using liquid chromatography–diode array detection data , 2004 .

[36]  Luis A. Sarabia,et al.  Three-way models and detection capability of a gas chromatography–mass spectrometry method for the determination of clenbuterol in several biological matrices: the 2002/657/EC European Decision , 2004 .

[37]  Enric Comas,et al.  Quantification from highly drifted and overlapped chromatographic peaks using second-order calibration methods. , 2004, Journal of chromatography. A.

[38]  G. W. Small,et al.  Pure component selectivity analysis of multivariate calibration models from near-infrared spectra. , 2004, Analytical chemistry.

[39]  Frans van den Berg,et al.  Correlation optimized warping and dynamic time warping as preprocessing methods for chromatographic data , 2004 .

[40]  R. Synovec,et al.  Trilinear chemometric analysis of two-dimensional comprehensive gas chromatography-time-of-flight mass spectrometry data. , 2004, Journal of chromatography. A.

[41]  Marcos V. Guterres,et al.  Multiway Calibration for Creatinine Determination in Human Serum Using the Jaffé Reaction , 2004, Applied spectroscopy.

[42]  P. Marriott,et al.  Chemometric analysis of comprehensive two-dimensional gas chromatography data using cryogenic modulation , 2003 .

[43]  F. Rius,et al.  Second-order bilinear calibration for determining polycyclic aromatic compounds in marine sediments by solvent extraction and liquid chromatography with diode-array detection , 2003 .

[44]  Nicolaas M. Faber,et al.  Net analyte signal calculation for multivariate calibration , 2003 .

[45]  C. Fraga,et al.  Chemometric approach for the resolution and quantification of unresolved peaks in gas chromatography--selected-ion mass spectrometry data. , 2003, Journal of chromatography. A.

[46]  J. Ferré,et al.  Generalization of rank reduction problems with Wedderburn's formula , 2003 .

[47]  Robert E. Synovec,et al.  Parallel column liquid chromatography with a single multi-wavelength absorbance detector for enhanced selectivity using chemometric analysis , 2003 .

[48]  Lutgarde M. C. Buydens,et al.  Assessment of techniques for DOSY NMR data processing , 2003 .

[49]  M. C. Ortiz,et al.  Multivariate analytical sensitivity in the determination of selenium, copper, lead and cadmium by stripping voltammetry when using soft calibration , 2003 .

[50]  H. Abdollahi,et al.  Rank annihilation factor analysis for spectrophotometric study of complex formation equilibria , 2003 .

[51]  John H. Kalivas,et al.  Quantifying selectivity in spectrophotometric multicomponent analysis , 2003 .

[52]  Alejandro C Olivieri,et al.  Interference-free analysis using three-way fluorescence data and the parallel factor model. Determination of fluoroquinolone antibiotics in human serum. , 2003, Analytical chemistry.

[53]  A. G. Frenich,et al.  Application of GRAM and TLD to the resolution and quantitation of real complex multicomponent mixtures by fluorescence spectroscopy , 2003, Analytical and bioanalytical chemistry.

[54]  F. Rius,et al.  Using second-order calibration to identify and quantify aromatic sulfonates in water by high-performance liquid chromatography in the presence of coeluting interferences. , 2003, Journal of chromatography. A.

[55]  M. K. Alam,et al.  Effect of non‐exponential and multi‐exponential decay behavior on the performance of the direct exponential curve resolution algorithm (DECRA) in NMR investigations , 2003 .

[56]  Rasmus Bro,et al.  Recent developments in CANDECOMP/PARAFAC algorithms: a critical review , 2003 .

[57]  W. Windig,et al.  The use of PGSE NMR and DECRA for determining polymer composition , 2002 .

[58]  A. Nordon,et al.  Determination of the ethylene oxide content of polyether polyols by low-field 1H nuclear magnetic resonance spectrometry , 2002 .

[59]  F. Rius,et al.  Time shift correction in second-order liquid chromatographic data with iterative target transformation factor analysis , 2002 .

[60]  N. M. Faber,et al.  Second-order bilinear calibration : the effects of vectorising the data matrices of the calibration set , 2002 .

[61]  G. M. Escandar,et al.  First- and second-order multivariate calibration applied to biological samples: determination of anti-inflammatories in serum and urine , 2002, Analytical and bioanalytical chemistry.

[62]  M. K. Alam,et al.  Chemometric solid-state 13C NMR analysis of morphology and dynamics in irradiated crosslinked polyolefin cable insulation , 2002 .

[63]  M. Maeder,et al.  Rank annihilation correction for the amendment of instrumental inconsistencies , 2002 .

[64]  B. Antalek Using pulsed gradient spin echo NMR for chemical mixture analysis: how to obtain optimum results , 2002 .

[65]  R. Bro,et al.  Towards rapid and unique curve resolution of low-field NMR relaxation data: trilinear SLICING versus two-dimensional curve fitting. , 2002, Journal of magnetic resonance.

[66]  Kevin J. Johnson,et al.  GC×GC temperature programming requirements to produce bilinear data for chemometric analysis , 2002 .

[67]  Tonghua Li,et al.  Determination of rate constants from two-way kinetic-spectral data by using rank annihilation factor analysis , 2002 .

[68]  M. C. Ortiz,et al.  Determination of the capability of detection of a hyphenated method: application to spectroelectrochemistry , 2002 .

[69]  F. S. Costa,et al.  Detection of verapamil drug by fluorescence and trilinear decomposition techniques , 2002 .

[70]  N. Faber Towards a rehabilitation of the generalized rank annihilation method (GRAM) , 2002, Analytical and bioanalytical chemistry.

[71]  Alexandre M. Antunes,et al.  A chemometric study of amino acid transport through liquid membranes using UV‐vis spectroscopy , 2002 .

[72]  E. Bezemer,et al.  Three-way alternating least squares using three-dimensional tensors in MATLAB® , 2002 .

[73]  F. Xavier Rius,et al.  Limit of detection estimator for second-order bilinear calibration , 2002 .

[74]  Rolf Sundberg,et al.  Precision of prediction in second‐order calibration, with focus on bilinear regression methods , 2002 .

[75]  Stephen L. R. Ellison,et al.  Harmonized guidelines for single-laboratory validation of methods of analysis (IUPAC Technical Report) , 2002, Chemistry International.

[76]  M. C. Ortiz,et al.  Capability of discrimination : application to soft calibration methods , 2001 .

[77]  R. Synovec,et al.  Objective data alignment and chemometric analysis of comprehensive two-dimensional separations with run-to-run peak shifting on both dimensions. , 2001, Analytical chemistry.

[78]  N. M. Faber,et al.  The price paid for the second‐order advantage when using the generalized rank annihilation method (GRAM) , 2001 .

[79]  Nikos D. Sidiropoulos,et al.  Cramer-Rao lower bounds for low-rank decomposition of multidimensional arrays , 2001, IEEE Trans. Signal Process..

[80]  P. Gemperline,et al.  Quantitative analysis of low-field NMR signals in the time domain. , 2001, Analytical chemistry.

[81]  N. M. Faber,et al.  Quantifying the effect of measurement errors on the uncertainty in bilinear model predictions: a small simulation study , 2001 .

[82]  A. Smilde Reply to ‘Comment on a recently proposed resampling method’ , 2001 .

[83]  Nicolaas (Klaas) M. Faber,et al.  Comment on a recently proposed resampling method , 2001 .

[84]  P. Wentzell,et al.  Three-way analysis of fluorescence spectra of polycyclic aromatic hydrocarbons with quenching by nitromethane. , 2001, Analytical chemistry.

[85]  R. Synovec,et al.  Increasing the number of analyzable peaks in comprehensive two-dimensional separations through chemometrics. , 2001, Analytical chemistry.

[86]  R. Boqué,et al.  Iteratively reweighted generalized rank annihilation method 2. Least squares property and variance expressions , 2001 .

[87]  Nicolaas M. Faber,et al.  Iteratively reweighted generalized rank annihilation method: 1. Improved handling of prediction bias , 2001 .

[88]  Age K. Smilde,et al.  Estimating reaction rate constants from a two‐step reaction: a comparison between two‐way and three‐way methods , 2000 .

[89]  Rasmus Bro,et al.  The N-way Toolbox for MATLAB , 2000 .

[90]  Fraga,et al.  Comprehensive two-dimensional gas chromatography and chemometrics for the high-speed quantitative analysis of aromatic isomers in a jet fuel using the standard addition method and an objective retention time alignment algorithm , 2000, Analytical chemistry.

[91]  N. Sidiropoulos,et al.  On the uniqueness of multilinear decomposition of N‐way arrays , 2000 .

[92]  W. Windig,et al.  Applications of the direct exponential curve resolution algorithm (DECRA) to solid state nuclear magnetic resonance and mid‐infrared spectra , 2000 .

[93]  Robert E. Synovec,et al.  Enhancing the limit of detection for comprehensive two-dimensional gas chromatography (GC × GC) using bilinear chemometric analysis , 2000 .

[94]  W. Windig,et al.  Elucidation of Polymorph Mixtures Using Solid-State 13C CP/MAS NMR Spectroscopy and Direct Exponential Curve Resolution Algorithm , 1999 .

[95]  Rasmus Bro,et al.  Calibration methods for complex second-order data , 1999 .

[96]  A. Olivieri,et al.  Enhanced synchronous spectrofluorometric determination of tetracycline in blood serum by chemometric analysis. Comparison of partial least-squares and hybrid linear analysis calibrations. , 1999, Analytical chemistry.

[97]  A. de Juan,et al.  Three‐way data analysis of pollutant degradation profiles monitored using liquid chromatography–diode array detection , 1999 .

[98]  A. Smilde,et al.  Estimating rate constants and pure UV‐vis spectra of a two‐step reaction using trilinear models , 1999 .

[99]  A. Smilde,et al.  Applications and new developments of the direct exponential curve resolution algorithm (DECRA). Examples of spectra and magnetic resonance images , 1999 .

[100]  W. Windig,et al.  Resolving nuclear magnetic resonance data of complex mixtures by three-way methods: , 1999 .

[101]  Bruce R. Kowalski,et al.  Enhanced Chemical Analysis Using Parallel Column Gas Chromatography with Single-Detector Time-of-Flight Mass Spectrometry and Chemometric Analysis , 1999 .

[102]  Mikael Kubista,et al.  An automated procedure to predict the number of components in spectroscopic data , 1999 .

[103]  A. Smilde,et al.  Rapid estimation of rate constants using on-line SW-NIR and trilinear models , 1998 .

[104]  K. Faber Notes on Analytical Figures of Merit for Calibration of Nth-Order Data , 1998 .

[105]  P. Paatero,et al.  THREE-WAY (PARAFAC) FACTOR ANALYSIS : EXAMINATION AND COMPARISON OF ALTERNATIVE COMPUTATIONAL METHODS AS APPLIED TO ILL-CONDITIONED DATA , 1998 .

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

[107]  Robert E. Synovec,et al.  Comprehensive Two-Dimensional High-Speed Gas Chromatography with Chemometric Analysis , 1998 .

[108]  W. Windig,et al.  Multivariate Image Analysis of Magnetic Resonance Images with the Direct Exponential Curve Resolution Algorithm (DECRA). , 1998, Journal of magnetic resonance.

[109]  J P Hornak,et al.  Multivariate image analysis of magnetic resonance images with the direct exponential curve resolution algorithm (DECRA). Part 2: Application to human brain images. , 1998, Journal of magnetic resonance.

[110]  J. Carstensen,et al.  Aligning of single and multiple wavelength chromatographic profiles for chemometric data analysis using correlation optimised warping , 1998 .

[111]  D. Massart,et al.  Comparison between the direct trilinear decomposition and the multivariate curve resolution-alternating least squares methods for the resolution of three-way data sets , 1998 .

[112]  J. Inczedy,et al.  Compendium of Analytical Nomenclature , 1998 .

[113]  Bruce R. Kowalski,et al.  Standardization of Second-Order Chromatographic/Spectroscopic Data for Optimum Chemical Analysis , 1998 .

[114]  Lloyd A. Currie,et al.  Detection and quantification limits: origins and historical overview , 1997 .

[115]  T. Roch Evaluation of total luminescence data with chemometrical methods , 1997 .

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

[117]  R. Boqué,et al.  Computing detection limits in multicomponent spectroscopic analysis , 1997 .

[118]  Avraham Lorber,et al.  Analytical figures of merit for tensorial calibration , 1997 .

[119]  B. Kowalski,et al.  Review of Chemometrics Applied to Spectroscopy: 1985-95, Part 3 - Multi-way Analysis , 1997 .

[120]  W. Windig,et al.  Direct exponential curve resolution algorithm (DECRA): A novel application of the generalized rank annihilation method for a single spectral mixture data set with exponentially decaying contribution profiles , 1997 .

[121]  Lloyd A. Currie,et al.  DETECTION : INTERNATIONAL UPDATE, AND SOME EMERGING DI-LEMMAS INVOLVING CALIBRATION, THE BLANK, AND MULTIPLE DETECTION DECISIONS , 1997 .

[122]  Bruce R. Kowalski,et al.  Propagation of measurement errors for the validation of predictions obtained by principal component regression and partial least squares , 1997 .

[123]  Avraham Lorber,et al.  Generalized rank annihilation method: standard errors in the estimated eigenvalues if the instrumental errors are heteroscedastic and correlated , 1997 .

[124]  Klaas Faber,et al.  Short Communication: On solving generalized eigenvalue problems using Matlab , 1997 .

[125]  J. Kalivas,et al.  Selectivity and Related Measures for nth-Order Data. , 1996, Analytical chemistry.

[126]  Yu-Long Xie,et al.  Second-order tensorial calibration for kinetic spectrophotometric determination , 1996 .

[127]  B. Grung,et al.  Interactive rank annihilation: A graphic approach to quantification in grey multicomponent systems , 1995 .

[128]  Sarah C. Rutan,et al.  Kinetic Detection of Overlapped Amino Acids in Thin-Layer Chromatography with a Direct Trilinear Decomposition Method , 1995 .

[129]  B. Kowalski,et al.  Chemometric Study of the Fluorescence of Dental Calculus by Trilinear Decomposition , 1995 .

[130]  Bruce R. Kowalski,et al.  A second‐order standard addition method with application to calibration of a kinetics–spectroscopic sensor for quantitation of trichloroethylene , 1995 .

[131]  Age K. Smilde,et al.  Some theoretical results on second‐order calibration methods for data with and without rank overlap , 1995 .

[132]  Paul Geladi,et al.  Random error bias in principal component analysis. Part II. Application of theoretical predictions to multivariate problems , 1995 .

[133]  Olav M. Kvalheim,et al.  Retention time shift adjustments of two-way chromatograms using Bessel's inequality , 1995 .

[134]  L. A. Currie,et al.  Nomenclature in evaluation of analytical methods including detection and quantification capabilities (IUPAC Recommendations 1995) , 1995 .

[135]  Rolf Danielsson,et al.  Alignment of chromatographic profiles for principal component analysis: a prerequisite for fingerprinting methods , 1994 .

[136]  J. R. Cook,et al.  Simulation-Extrapolation Estimation in Parametric Measurement Error Models , 1994 .

[137]  Age K. Smilde,et al.  Multicomponent Determination of Chlorinated Hydrocarbons Using a Reaction-Based Chemical Sensor. 3. Medium-Rank Second-Order Calibration with Restricted Tucker Models , 1994 .

[138]  Age K. Smilde,et al.  Multicomponent Determination of Chlorinated Hydrocarbons Using a Reaction-based Chemical Sensor. Part 2. Chemical Speciation Using Multivariate Curve Resolution , 1994 .

[139]  Bruce R. Kowalski,et al.  Multicomponent Determination of Chlorinated Hydrocarbons Using a Reaction-Based Chemical Sensor. 1. Multivariate Calibration of Fujiwara Reaction Products , 1994 .

[140]  Bruce R. Kowalski,et al.  Extension of Trilinear Decomposition Method with an Application to the Flow Probe Sensor , 1994 .

[141]  Bruce R. Kowalski,et al.  A Second-Order Fiber Optic Heavy Metal Sensor Employing Second-Order Tensorial Calibration , 1994 .

[142]  B. Kowalski,et al.  Theory of analytical chemistry , 1994 .

[143]  Bruce R. Kowalski,et al.  Comments on the DATa ANalysis (DATAN) algorithm and rank annihilation factor analysis for the analysis of correlated spectral data , 1994 .

[144]  Gerrit Kateman,et al.  Generalized rank annihilation method. III: Practical implementation , 1994 .

[145]  S. Kazmierczak,et al.  Identification and quantitation of drugs of abuse in urine using the generalized rank annihilation method of curve resolution. , 1994, Journal of chromatography. B, Biomedical applications.

[146]  Gerrit Kateman,et al.  Generalized rank annihilation method. II: Bias and variance in the estimated eigenvalues , 1994 .

[147]  Lars Nørgaard,et al.  RANK ANNIHILATION FACTOR ANALYSIS APPLIED TO FLOW INJECTION ANALYSIS WITH PHOTODIODE-ARRAY DETECTION , 1994 .

[148]  R. Ferrus,et al.  Limit of discrimination, limit of detection and sensitivity in analytical systems , 1994 .

[149]  Gerrit Kateman,et al.  Generalized rank annihilation method. I: Derivation of eigenvalue problems , 1994 .

[150]  Sarah C. Rutan,et al.  Effects of resolution, peak ratio and sampling frequency in diode-array fluorescence detection in liquid chromatography , 1993 .

[151]  G. Kateman,et al.  Standard errors in the eigenvalues of a cross‐product matrix: Theory and applications , 1993 .

[152]  P. Stilbs,et al.  Analysis of Multicomponent FT-PGSE Experiments by Multivariate Statistical Methods Applied to the Complete Bandshapes , 1993 .

[153]  S. Leurgans,et al.  A Decomposition for Three-Way Arrays , 1993, SIAM J. Matrix Anal. Appl..

[154]  Ben C. Mitchell,et al.  An empirical comparison of resolution methods for three-way arrays , 1993 .

[155]  Luis Cuadros Rodríguez,et al.  Estimation of Performance Characteristics of an Analytical Method Using the Data Set Of The Calibration Experiment , 1993 .

[156]  B. Kowalski,et al.  Advances in second‐order calibration , 1993 .

[157]  Paul J. Gemperline,et al.  Eliminating complex eigenvectors and eigenvalues in multiway analyses using the direct trilinear decomposition method , 1993 .

[158]  Mikael Kubista,et al.  Analysis of Correlated Spectral Data , 1993 .

[159]  Gerrit Kateman,et al.  Generalized rank annihilation factor analysis, iterative target transformation factor analysis, and residual bilinearization for the quantitative analysis of data from liquid chromatography with photodiode array detection , 1992 .

[160]  S. Leurgans,et al.  Multilinear Models: Applications in Spectroscopy , 1992 .

[161]  J. Hamilton,et al.  Generalized rank annihilation method using similarity transformations. , 1992, Analytical chemistry.

[162]  P. Hopke,et al.  A new receptor model: A direct trilinear decomposition followed by a matrix reconstruction , 1992 .

[163]  D. L. Neff Forward masking by maskers of uncertain frequency content. , 1991, The Journal of the Acoustical Society of America.

[164]  L. McGown,et al.  Fluorescence lifetime resolution of spectra in the frequency domain using multiway analysis , 1990 .

[165]  Mikael Kubista,et al.  A new method for the analysis of correlated data using procrustes rotation which is suitable for spectral analysis , 1990 .

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

[167]  Linda B. McGown,et al.  Resolution of multicomponent fluorescent mixtures by analysis of the excitation–emission–frequency array , 1990 .

[168]  B. Kowalski,et al.  Tensorial resolution: A direct trilinear decomposition , 1990 .

[169]  Bruce R. Kowalski,et al.  Quantitative analysis in the presence of spectral interferents using second-order nonbilinear data , 1989 .

[170]  Bruce R. Kowalski,et al.  An improved algorithm for the generalized rank annihilation method , 1989 .

[171]  Bruce R. Kowalski,et al.  Multicomponent quantitative analysis using second-order nonbilinear data: theory and simulations , 1989 .

[172]  Edmund R. Malinowski,et al.  Statistical F‐tests for abstract factor analysis and target testing , 1989 .

[173]  Bruce R. Kowalski,et al.  Tensorial calibration: II. Second‐order calibration , 1988 .

[174]  P. Zinn,et al.  Improvement in the definitions of sensitivity and selectivity , 1987 .

[175]  Bruce R. Kowalski,et al.  Generalized rank annihilation method , 1987 .

[176]  Bruce R. Kowalski,et al.  Generalized rank annihilation method : II. Analysis of bimodal chromatographic data , 1987 .

[177]  A. Lorber Error propagation and figures of merit for quantification by solving matrix equations , 1986 .

[178]  B. Everitt,et al.  Three-Mode Principal Component Analysis. , 1986 .

[179]  Bruce R. Kowalski,et al.  Generalized rank annihilation factor analysis , 1986 .

[180]  H. Gampp,et al.  Calculation of equilibrium constants from multiwavelength spectroscopic data-III Model-free analysis of spectrophotometric and ESR titrations. , 1985, Talanta.

[181]  Avraham Lorber,et al.  Features of quantifying chemical composition from two-dimensional data array by the rank annihilation factor analysis method , 1985 .

[182]  H. Gampp,et al.  Calculation of equilibrium constants from multiwavelength spectroscopic data--II: SPECFIT: two user-friendly programs in basic and standard FORTRAN 77. , 1985, Talanta.

[183]  Paul J. Gemperline,et al.  A priori estimates of the elution profiles of the pure components in overlapped liquid chromatography peaks using target factor analysis , 1984, J. Chem. Inf. Comput. Sci..

[184]  J. Callis,et al.  Multichannel imaging spectrophotometer for direct analysis of mixtures on thin-layer chromatography plates , 1983 .

[185]  E. R. Malinowski,et al.  Rank Annihilation Factor Analysis of Unresolved LC Peaks , 1983 .

[186]  Gary D. Christian,et al.  Application of the method of rank annihilation to fluorescent multicomponent mixtures of polynuclear aromatic hydrocarbons , 1980 .

[187]  Edmund R. Malinowski,et al.  Factor Analysis in Chemistry , 1980 .

[188]  Forrest W. Young,et al.  Component models for three-way data: An alternating least squares algorithm with optimal scaling features , 1980 .

[189]  S. Wold Cross-Validatory Estimation of the Number of Components in Factor and Principal Components Models , 1978 .

[190]  E. Davidson,et al.  Application of the method of rank annihilation to quantitative analyses of multicomponent fluorescence data from the video fluorometer , 1978 .

[191]  D. R. Morgan,et al.  Spectral Absorption Pattern Detection and Estimation. I. Analytical Techniques , 1977 .

[192]  Edmund R. Malinowski,et al.  Theory of error in factor analysis , 1977 .

[193]  Edmund R. Malinowski,et al.  Determination of the number of factors and the experimental error in a data matrix , 1977 .

[194]  C. Scott,et al.  Mathematical analysis of normalization techniques used in chromatography , 1973 .

[195]  E. A. Sylvestre,et al.  Self Modeling Curve Resolution , 1971 .

[196]  J. Chang,et al.  Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition , 1970 .

[197]  R. Cattell,et al.  FACTOR ROTATION FOR PROPORTIONAL PROFILES: ANALYTICAL SOLUTION AND AN EXAMPLE , 1955 .

[198]  J. Mandel,et al.  Sensitivity--a criterion for the comparison of methods of test , 1954 .

[199]  R. Cattell “Parallel proportional profiles” and other principles for determining the choice of factors by rotation , 1944 .

[200]  R. Bro,et al.  Multi‐way prediction in the presence of uncalibrated interferents , 2007 .

[201]  Gerwin J. Puppels,et al.  Estimating the influence of experimental parameters on the prediction error of PLS calibration models based on Raman spectra , 2006 .

[202]  S. Hart,et al.  A laser-induced fluorescence dual-fiber optic array detector applied to the rapid HPLC separation of polycyclic aromatic hydrocarbons , 2002, Analytical and bioanalytical chemistry.

[203]  J. Berge,et al.  On uniqueness in candecomp/parafac , 2002 .

[204]  Jian-hui Jiang,et al.  Three‐way data resolution by alternating slice‐wise diagonalization (ASD) method , 2000 .

[205]  M. Faber Note on the Error Analysis of the Generalized Rankannihilation Method , 1999 .

[206]  Bruce R. Kowalski,et al.  Second-order chemometric standardization for high-speed hyphenated gas chromatography: Analysis of GC/MS and comprehensive GCGC data , 1999 .

[207]  Romà Tauler,et al.  Multivariate curve resolution applied to three‐way trilinear data: Study of a spectrofluorimetric acid–base titration of salicylic acid at three excitation wavelengths , 1998 .

[208]  W. Windig,et al.  Generalized Rank Annihilation Method Applied to a Single Multicomponent Pulsed Gradient Spin Echo NMR Data Set , 1996 .

[209]  B. Kowalski,et al.  Selectivity, local rank, three‐way data analysis and ambiguity in multivariate curve resolution , 1995 .

[210]  R. Manne On the resolution problem in hyphenated chromatography , 1995 .

[211]  B. Kowalski,et al.  Theory of medium‐rank second‐order calibration with restricted‐Tucker models , 1994 .

[212]  B. Kowalski,et al.  Error analysis of the generalized rank annihilation method , 1994 .

[213]  R. Andersson,et al.  Simplex focusing of retention times and latent variable projections of chromatographic profiles , 1994 .

[214]  Gerrit Kateman,et al.  Realistic simulations of high-performance liquid chromatographic—ultraviolet data for the evaluation of multivariate techniques , 1991 .

[215]  G. Kateman,et al.  Multicomponent self-modelling curve resolution in high-performance liquid chromatography by iterative target transformation analysis , 1985 .

[216]  Bruce R. Kowalski,et al.  An extension of the multivariate component-resolution method to three components , 1985 .

[217]  Avraham Lorber,et al.  Quantifying chemical composition from two-dimensional data arrays , 1984 .

[218]  Daniel J. Alpert,et al.  Fantasia - A program for target transformation factor analysis to apportion sources in environmental samples , 1983, Comput. Chem..

[219]  Ernest R. Davidson,et al.  Three-dimensional rank annihilation for multi-component determinations , 1983 .

[220]  Gary D. Christian,et al.  Simultaneous multicomponent rank annihilation and applications to multicomponent fluorescent data acquired by the video fluorometer , 1981 .

[221]  J. Kruskal Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics , 1977 .

[222]  Richard A. Harshman,et al.  Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-model factor analysis , 1970 .