1 Data Analysis in Earth Sciences
1.1 Introduction
1.2 Data Collection
1.3 Types of Data
1.4 Methods of Data Analysis
2 Introduction to MATLAB
2.1 MATLAB in Earth Sciences
2.2 Getting Started
2.3 The Syntax
2.4 Array Manipulation
2.5 Data Structures and Classes of Objects
2.6 Data Storage and Handling
2.7 Control Flow
2.8 Scripts and Functions
2.9 Basic Visualization Tools
2.10 Generating Code to Recreate Graphics
2.11 Publishing M-Files
2.12 Creating Graphical User Interfaces
3 Univariate Statistics
3.1 Introduction
3.2 Empirical Distributions
3.3 Examples of Empirical Distributions
3.4 Theoretical Distributions
3.5 Examples of Theoretical Distributions
3.6 Hypothesis Testing
3.7 The t-Test
3.8 The F-Test
3.9 The χ2-Test
3.10 The Kolmogorov-Smirnov Test
3.11 Mann-Whitney Test
3.12 The Ansari-Bradley Test
3.13 Distribution Fitting
4 Bivariate Statistics
4.1 Introduction
4.2 Correlation Coef iients
4.3 Classical Linear Regression Analysis
4.4 Analyzing the Residuals
4.5 Bootstrap Estimates of the Regression Coef iients
4.6 Jackknife Estimates of the Regression Coef iients
4.7 Cross Validation
4.8 Reduced Major Axis Regression
4.9 Curvilinear Regression
4.10 Nonlinear and Weighted Regression
5 Time-Series Analysis
5.1 Introduction
5.2 Generating Signals
5.3 Auto-Spectral and Cross-Spectral Analysis
5.4 Examples of Auto-Spectral and Cross-Spectral Analysis
5.5 Interpolating and Analyzing Unevenly-Spaced Data
5.6 Evolutionary Power Spectrum
5.7 Lomb-Scargle Power Spectrum
5.8 Wavelet Power Spectrum
5.9 Detecting Abrupt Transitions in Time Series
5.10 Nonlinear Time-Series Analysis (by N. Marwan)
6 Signal Processing
6.1 Introduction
6.2 Generating Signals
6.3 Linear Time-Invariant Systems
6.4 Convolution, Deconvolution and Filtering
6.5 Comparing Functions for Filtering Data Series
6.6 Recursive and Nonrecursive Filters
6.7 Impulse Response
6.8 Frequency Response
6.9 Filter Design
6.10 Adaptive Filtering
7 Spatial Data
7.1 Types of Spatial Data
7.2 The Global Geography Database GSHHG
7.3 The 1-Minute Gridded Global Relief Data ETOPO1
7.4 The 30-Arc Seconds Elevation Model GTOPO30
7.5 The Shuttle Radar Topography Mission SRTM
7.6 Exporting 3D Graphics to Create Interactive Documents
7.7 Gridding and Contouring
7.8 Comparison of Methods and Potential Artifacts
7.9 Statistics of Point Distributions
7.10 Analysis of Digital Elevation Models (by R. Gebbers)
7.11 Geostatistics and Kriging (by R. Gebbers)
8 Image Processing
8.1 Introduction
8.2 Data Storage
8.3 Importing, Processing and Exporting Images
8.4 Importing, Processing and Exporting LANDSAT Images
8.5 Importing and Georeferencing TERRA ASTER Images
8.6 Processing and Exporting EO-1 Hyperion Images
8.7 Digitizing from the Screen
8.8 Image Enhancement, Correction and Rectif cation
8.9 Color-Intensity Transects Across Varved Sediments
8.10 Grain Size Analysis from Microscope Images
8.11 Quantifying Charcoal in Microscope Images
8.12 Shape-Based Object Detection in Images
9 Multivariate Statistics
9.1 Introduction
9.2 Principal Component Analysis
9.3 Independent Component Analysis (by N. Marwan)
9.4 Discriminant Analysis
9.5 Cluster Analysis
9.6 Multiple Linear Regression
10 Directional Data
10.1 Introduction
10.2 Graphical Representation
10.3 Empirical Distributions
10.4 Theoretical Distributions
10.5 Test for Randomness of Directional Data
10.6 Test for the Signif cance of a Mean Direction
10.7 Test for the Dif erence between Two Sets of Directions