Select the Optimal Model for Interpreting Multivariate Data Introduction to Multivariate Analysis: Linear and Nonlinear Modeling shows how multivariate analysis is widely used for extracting useful information and patterns from multivariate data and for understanding the structure of random phenomena. Along with the basic concepts of various procedures in traditional multivariate analysis, the book covers nonlinear techniques for clarifying phenomena behind observed multivariate data. It primarily focuses on regression modeling, classification and discrimination, dimension reduction, and clustering. The text thoroughly explains the concepts and derivations of the AIC, BIC, and related criteria and includes a wide range of practical examples of model selection and evaluation criteria. To estimate and evaluate models with a large number of predictor variables, the author presents regularization methods, including the L1 norm regularization that gives simultaneous model estimation and variable selection. For advanced undergraduate and graduate students in statistical science, this text provides a systematic description of both traditional and newer techniques in multivariate analysis and machine learning. It also introduces linear and nonlinear statistical modeling for researchers and practitioners in industrial and systems engineering, information science, life science, and other areas.
We first find the convex hull of the data (i.e., the observations defining the convex hull) using the following R code: R> (hull with(USairpollution, ...
Friedl, A., Padouvas, E., Rotter, H., Varmuza, K.: Anal. Chim. Acta 544, 2005, 191–198. Prediction of heating values of biomass fuel from elemental composition. Furnival, G. M., Wilson, R. W.: Technometrics 16, 1974, 499–511.
The Third Edition features new or more extensive coverage of: Patterns of Dependence and Graphical Models–a new chapter Measures of correlation and tests of independence Reduced rank regression, including the limited-information maximum ...
This classic book provides the much needed conceptual explanations of advanced computer-based multivariate data analysis techniques: correlation and regression analysis, factor analysis, discrimination analysis, cluster analysis, multi-dimensional scaling, perceptual mapping,...
This comprehensive text introduces readers to the most commonly used multivariate techniques at an introductory, non-technical level.
This book enables readers who may not be familiar with matrices to understand a variety of multivariate analysis procedures in matrix forms.
Bivariate regression analysis; Bivariate linear correlation; Further methods of bivariate correlation; Multiple regression and correlation; Canonical correlation; Disciminant analysis; Multivariate analysis of variance; Factor analysis; Multivariate analysis of categorical data.
The book's principal objective is to provide a conceptual framework for multivariate data analysis techniques, enabling the reader to apply these in his or her own field.
The book should also be suitable as a text for undergraduate and postgraduate statistics courses on multivariate analysis. The book covers a wider range oftopics than some other books in this area.
Introduction to Multivariate Analysis