Applied Multivariate Statistics in Geohydrology and Related Sciences

1. Front Matter

   Pages I-XIX

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2. Introduction to General Statistical and Multivariate Concepts

   1. Front Matter

      Pages 1-1

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   2. General Concepts

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      Pages 3-12

   3. Introduction to Multivariate Statistical Procedures

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      Pages 13-22

3. Variable-Directed Procedures Based on Normal Distribution Assumptions

   1. Front Matter

      Pages 23-23

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   2. Correlation

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      Pages 25-36

   3. Factor Analysis

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      Pages 37-51

   4. Canonical Correlation

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      Pages 53-60

   5. Multiple Regression

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      Pages 61-77

   6. Multivariate Analysis of Variance

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      Pages 79-91

   7. Multivariate Analysis of Covariance

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      Pages 93-99

4. Variable-Directed Techniques not Based on Normal Distribution Assumptions

   1. Front Matter

      Pages 101-101

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   2. Principal Components

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      Pages 103-111

5. Individual-Directed Techniques Based on Normal Distribution Assumptions

   1. Front Matter

      Pages 113-113

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   2. Multiple Discriminant Analysis

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      Pages 115-128

6. Individual-Directed Techniques not Based on Normal Distribution Assumptions

   1. Front Matter

      Pages 129-129

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   2. Cluster Analysis

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      Pages 131-146

   3. Multiple Logistic Regression

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      Pages 147-151

7. Other Approaches to Explore Multivariate Data

   1. Front Matter

      Pages 153-153

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   2. Coefficient of Variation

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      Pages 155-157

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 scientific audience, but more specifi­ cally is geared toward scientists doing studies in geohydrology and related geo­ sciences.lts objective is to address both introductory and advanced concepts and applications of the multivariate procedures in use today. Some of the procedures are classical in scope but others are on the forefront of statistical science and have received limited use in geohydrology or related sciences. The past three decades have seen a significant jump in the application of new research methodologies that focus on analyzing large databases. With more general applications being developed by statisticians in various disciplines, multivariate quantitative procedures are evolving for better scientific applica­ tion at a rapid rate and now provide for quick and informative analyses of large datasets. The procedures include a family of statistical research methods that are alternatively called "multivariate analysis" or "multivariate statistical methods".

• Faktorenanalyse
• Hydrogeologie
• Klusteranalyse
• Varianz/Kovarianz
• cluster analysis
• environment
• factor analysis
• geoscience
• hydrogeology
• hydrology
• matrix
• regression
• variance/covariance

• International Geohydroscience and Energy Research (IGER) Institute, Centreville, USA

  Charles E. Brown

• Department of Chemistry, George Mason University, Fairfax, USA

  Charles E. Brown

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