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Environmental Statistics with S-PLUS

Environmental Statistics with S-PLUS by Steven P. Millard
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INTRODUCTION
Intended Audience
Environmental Science, Regulations, and Statistics
Overview
Data Sets and Case Studies
Software

DESIGNING A SAMPLING PROGRAM, PART I
The Basic Scientific Method
What is a Population and What Is a Sample?
Random vs. Judgment Sampling
The Hypothesis Testing Framework
Common Mistakes in Environmental Studies
The Data Quality Objectives Process
Sources of Variability and Independence
Methods of Random Sampling
Case Study

LOOKING AT DATA
Summary Statistics
Graphs for a Single Variable
Graphs for Two or More Variables

PROBABILITY DISTRIBUTIONS
What Is a Random Variable?
Discrete vs. Continuous Random Variable
What is a Probability Distribution?
Probability Density Function (PDF)
Cumulative Distribution Function (CDF)
Quantiles and Percentiles
Generating Random Numbers from Probability Distributions
Characteristics of Probability Distributions
Important Distributions in Environmental Statistics
Multivariate Probability Distributions

ESTIMATING DISTRIBUTION PARAMETERS AND QUANTILES
Methods for Estimating Distribution Parameters
Using EnvironmentalStats for S?Plus to Estimate Distribution Parameters
Comparing Different Estimators
Accuracy, Bias, Mean Square Error, Precision, Random Error, Systematic Error, and Variability
Parametric Confidence Intervals for Distribution Parameters
Nonparametric Confidence Intervals Based on Bootstrapping
Estimates and Confidence Intervals for Distribution Quantiles (Percentiles)
A Cautionary Note about Confidence Intervals

PREDICTION INTERVALS, TOLERANCE INTERVALS, AND CONTROL CHARTS
Prediction Intervals
Simultaneous Prediction Intervals
Tolerance Intervals
Control Charts

HYPOTHESIS TESTS
The Hypothesis Testing Framework
Overview of Univariate Hypothesis Tests
Goodness-of-Fit Tests
Test of a Single Proportion
Tests of Location
Tests on Percentiles
Tests on Variability
Comparing Locations between Two Groups: The Special Case of Paired Differences
Comparing Locations between Two Groups
Comparing Two Proportions
Comparing Variances between Two Groups
The Multiple Comparisons Problem
Comparing Locations between Several Groups
Comparing Proportions between Several Groups
Comparing Variability between Several Groups

DESIGNING A SAMPLING PROGRAM, PART II
Designs Based on Confidence Intervals
Designs Based on Nonparametric Confidence, Prediction, and Tolerance Intervals
Designs Based on Hypothesis Tests
Optimizing a Design Based on Cost Considerations

LINEAR MODELS
Covariance and Correlation
Simple Linear Regression
Regression Diagnostics
Calibration, Inverse Regression, and Detection Limits
Multiple Regression
Dose-Response Models: Regression for Binary Outcomes
Other Topics in Regression

CENSORED DATA
Classification of Censored Data
Graphical Assessment of Censored Data
Estimating Distribution Parameters
Estimating Distribution Quantiles
Prediction and Tolerance Intervals
Hypothesis Tests
A Note about Zero-Modified Distributions

TIME SERIES ANALYSIS
Creating and Plotting Time Series Data
Autocorrelation
Dealing with Autocorrelation
More Complicated Models: Autoregressive and Moving Average Processes
Estimating and Testing for Trend

SPATIAL STATISTICS
Overview: Types of Spatial Data
The Benthic Data
Models for Geostatistical Data
Modeling Spatial Correlation
Prediction for Geostatistical Data
Using S-Plus for ArcView GIS

MONTE CARLO SIMULATION AND RISK ASSESSMENT
Overview
Monte Carlo Simulation
Generating Random Numbers
Uncertainty and Sensitivity Analysis
Risk Assessment

REFERENCES

INDEX

Summaries and Exercises appear at the end of each chapter.

CRC Press; September 2000
846 pages; ISBN 9781420037173
Read online, or download in secure PDF format
Title: Environmental Statistics with S-PLUS
Author: Steven P. Millard; Nagaraj K. Neerchal; Philip Dixon
 
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