Handbook of Chemometrics and Qualimetrics, Volume 20B

1st Edition

Part B

Print ISBN: 9780444828538
eBook ISBN: 9780080887036
Imprint: Elsevier Science
Published Date: 4th December 1998
Page Count: 876
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Table of Contents

Introduction to Part B. Vectors, Matrices and Operations on Matrices. Vector space. Geometrical properties of vectors. Matrices. Matrix product. Dimensions and rank. Eigenvectors and eigenvalues. Statistical interpretation of matrices. Geometrical interpretation of matrix products. References. Cluster Analysis. Clusters. Measures of (dis)similarity. Clustering algorithms. References. Analysis of Measurement Tables. Introduction. Principal components analysis. Geometrical interpretation. Preprocessing. Algorithms. Validation. Principal coordinates analysis. Non-linear principal components analysis. PCA and cluster analysis. References. Analysis of Contingency Tables. Contingency table. Chi-square statistic. Closure. Weighted metric. Distance of chi-square. Correspondence factor analysis. Log-linear model. References. Supervised Pattern Recognition. Supervised and unsupervised pattern recognition. Derivation of classification rules. Feature of selection and reduction. Validation of classification rules. References. Curve and Mixture Resolution by Factor Analysis and Related Techniques. Abstract and true factors. Full-rank methods. Evolutionary and local rank methods. Pure column (or row) techniques. Quantitative methods for factor analysis. Application of factor analysis for peak purity check in HPLC. Guidance for the selection of a factor analysis method. References. Relations between Measurement Tables. Introduction. Procrustes analysis. Canonical correlation analysis. Multivariate least squares regression. Reduced rank regression. Partial least squares regression. Continuum regression methods. Concluding remarks. References. Multivariate Calibration. Introduction. Calibration methods. Validation. Other aspects. New developments. References. Quantitative Structure-Activity Relationships (QSAR). Extrathermodynamic m


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© Elsevier Science 1998
Elsevier Science
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@from:D.B. Hibbert, University of New South Wales, Sydney @qu:"I have caused my university library to purchase a copy of Handbook of Chenometrics and Qualimetrics, and I believe that all serious groups working in chenometrics will feel the need to own the two volumes...For those long ensconced in chenometrics, browsing these books will not fail to impress with the breadth and complexity of the subject." @source:Chenometrics & Intelligent Laboratory Systems, Vol. 49, 1999