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Statistics
Environmental Statistics
1. Introduction to Environmental Statistics
2. Foundational Statistical Concepts
3. Environmental Data Collection and Study Design
4. Exploratory Data Analysis for Environmental Data
5. Modeling Environmental Data
6. Analysis of Temporally Correlated Data
7. Analysis of Spatially Correlated Data
8. Spatio-Temporal Statistics
9. Advanced Topics and Applications
10. Bayesian Methods in Environmental Science
11. Communication and Regulatory Statistics
12. Quality Assurance and Quality Control
13. Software and Computational Tools
Analysis of Spatially Correlated Data
Fundamentals of Spatial Statistics
Types of Spatial Data
Geostatistical Data
Lattice Data
Point Pattern Data
Spatial Autocorrelation
Moran's I
Geary's C
Interpretation and Applications
Modeling Spatial Dependence
The Variogram and Covariogram
Empirical Variogram
Theoretical Variogram Models
Spherical Model
Exponential Model
Gaussian Model
Model Fitting
Anisotropy
Directional Dependence
Geometric Anisotropy
Zonal Anisotropy
Spatial Prediction and Interpolation
Kriging
Simple Kriging
Ordinary Kriging
Universal Kriging
Kriging Variance
Cross-Validation
Inverse Distance Weighting
Algorithm
Limitations
Models for Areal Data
Conditional Autoregressive Models
Model Structure
Parameter Estimation
Simultaneous Autoregressive Models
Model Structure
Parameter Estimation
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6. Analysis of Temporally Correlated Data
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8. Spatio-Temporal Statistics