Applied Multivariate Statistics in Geohydrology and Related Sciences
It has been evident from many years of research work in the geohydrologic sciences that a summary of relevant past work, present work, and needed future work in multivariate statistics with geohydrologic applications is not only desirable, but is necessary. This book is intended to serve a broad sci...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1998, 1998
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| Edition: | 1st ed. 1998 |
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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