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Statistics for Environmental Science and Management, Second Edition
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Table of Contents

The Role of Statistics in Environmental Science

Introduction

Some Examples

The Importance of Statistics in the Examples

Chapter Summary

Exercises

Environmental Sampling

Introduction

Simple Random Sampling

Estimation of Population Means

Estimation of Population Totals

Estimation of Proportions

Sampling and Nonsampling Errors

Stratified Random Sampling

Post-Stratification

Systematic Sampling

Other Design Strategies

Ratio Estimation

Double Sampling0

Choosing Sample Sizes1

Unequal-Probability Sampling

The Data Quality Objectives Process

Chapter Summary

Exercises

Models for Data

Statistical Models

Discrete Statistical Distributions

Continuous Statistical Distributions

The Linear Regression Model8

Factorial Analysis of Variance

Generalized Linear Models

Chapter Summary

Exercises

Drawing Conclusions from Data

Introduction

Observational and Experimental Studies

True Experiments and Quasi-Experiments

Design-Based and Model-Based Inference

Tests of Significance and Confidence Intervals

Randomization Tests

Bootstrapping

Pseudoreplication

Multiple Testing

Meta-Analysis

Bayesian Inference

Chapter Summary

Exercises

Environmental Monitoring

Introduction

Purposely Chosen Monitoring Sites

Two Special Monitoring Designs6

Designs Based on Optimization

Monitoring Designs Typically Used

Detection of Changes by Analysis of Variance

Detection of Changes Using Control Charts

Detection of Changes Using CUSUM Charts

Chi-Squared Tests for a Change in a Distribution

Chapter Summary

Exercises

Impact Assessment

Introduction

The Simple Difference Analysis with BACI Designs

Matched Pairs with a BACI Design.

Impact-Control Designs

Before-After Designs

Impact-Gradient Designs

Inferences from Impact Assessment Studies

Chapter Summary

Exercises

Assessing Site Reclamation

Introduction

Problems with Tests of Significance

The Concept of Bioequivalence

Two-Sided Tests of Bioequivalence

Chapter Summary

Exercises

Time Series Analysis

Introduction

Components of Time Series

Serial Correlation

Tests for Randomness

Detection of Change Points and Trends

More-Complicated Time Series Models

Frequency Domain Analysis

Forecasting

Chapter Summary

Exercises

Spatial-Data Analysis

Introduction

Types of Spatial Data

Spatial Patterns in Quadrat Counts

Correlation between Quadrat Counts

Randomness of Point Patterns

Correlation between Point Patterns

Mantel Tests for Autocorrelation

The Variogram

Kriging

Correlation between Variables in Space

Chapter Summary

Exercises

Censored Data

Introduction

Single Sample Estimation

Estimation of Quantiles

Comparing the Means of Two or More Samples

Regression with Censored Data

Chapter Summary

Exercises

Monte Carlo Risk Assessment

Introduction

Principles for Monte Carlo Risk Assessment

Risk Analysis Using a Spreadsheet

Chapter Summary

Exercises

Final Remarks

Appendices

References

Index

About the Author

Western EcoSystem Technology, Inc., Laramie, Wyoming, USA University of North Carolina, Chapel Hill, USA

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