Charles E. Brown

Applied Multivariate Statistics in Geohydrology and Related Sciences (eBook, PDF)

• Format: PDF

Produktbeschreibung

Due to the increasing use of calculators, multivariate statistics are becoming increasingly important in natural science. This book deals with the groundwork and the applications in the fields of geosciences (especially hydrology and biostatistics).

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 248
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642803284
• Artikelnr.: 53138739

Inhaltsangabe

I Introduction to General Statistical and Multivariate Concepts.- 1 General Concepts.- 2 Introduction to Multivariate Statistical Procedures.- II Variable-Directed Procedures Based on Normal Distribution Assumptions.- 3 Correlation.- 4 Factor Analysis.- 5 Canonical Correlation.- 6 Multiple Regression.- 7 Multivariate Analysis of Variance.- 8 Multivariate Analysis of Covariance.- III Variable-Directed Techniques not Based on Normal Distribution Assumptions.- 9 Principal Components.- IV Individual-Directed Techniques Based on Normal Distribution Assumptions.- 10 Multiple Discriminant Analysis.- V Individual-Directed Techniques not Based on Normal Distribution Assumptions.- 11 Cluster Analysis.- 12 Multiple Logistic Regression.- VI Other Approaches to Explore Multivariate Data.- 13 Coefficient of Variation.- 14 Correspondence Analysis.- 15 Multivariate Probit Analysis.- VII Multivariate Measures of Space, Distance, and Time.- 16 Multivariate Time Series Modeling.- 17 Multivariate Spatial Measures.- VIII Multivariate Data Preparation, Plotting, and Conclusions.- 18 Multivariate Data Preparation and Plotting.- 19 Summary and Generalizations of Multivariate Quantitative Procedures.- Appendix Introduction to Numerical Analysis.- A.1 General Concepts.- A.2 Solution of Simultaneous Linear Algebraic Equations.- A.2.1 Sets of Linear Equations.- A.2.2 Calculations in Matrix Algebra.- A.2.3 Definitions and Notation.- A.2.4 Basic Matrix Operations.- A.2.4.1 Comparison of Matrices.- A.2.4.2 Matrix Addition and Subtraction.- A.2.4.3 Matrix Multiplication.- A.2.4.4 Transposition.- A.2.4.5 Partitioning.- A.2.5 Matrix Inversion.- A.2.5.1 Inverse.- A.2.5.2 Computation of Inverse.- A.2.6 Eigenvalues and Eigenvectors of a Matrix.- A.2.7 Matrix Algebra and Solution of Simultaneous Linear Equations.- A.2.8 Direct Methods: Gaussian Elimination.- A.2.9 Indirect Methods: Gauss-Seidel Iteration.- A.3 Multivariate Normal Distribution in Matrix Form.- References.- Author Index.