Analyzing Environmental Data

1 Linear regression.

1.1 Simple linear regression.

1.2 Multiple linear regression.

1.3 Qualitative predictors: ANOVA and ANCOVA models.

1.4 Random-effects models.

1.5 Polynomial regression.

Exercises.

2 Nonlinear regression.

2.1 Estimation and testing.

2.2 Piecewise regression models.

2.3 Exponential regression models.

2.4 Growth curves.

2.5 Rational polynomials.

2.6 Multiple nonlinear regression.

Exercises.

3 Generalized linear models.

3.1 Generalizing the classical linear model.

3.2 Theory of generalized linear models.

3.3 Specific forms of generalized linear models.

Exercises.

4 Quantitative risk assessment with stimulus-response data.

4.1 Potency estimation for stimulus-response data.

4.2 Risk estimation.

4.3 Benchmark analysis.

4.4 Uncertainty analysis.

4.5 Sensitivity analysis.

4.6 Additional topics.

Exercises.

5 Temporal data and autoregressive modeling.

5.1 Time series.

5.2 Harmonic regression.

5.3 Autocorrelation.

5.4 Autocorrelated regression models.

5.5 Simple trend and intervention analysis.

5.6 Growth curves revisited.

Exercises.

6 Spatially correlated data.

6.1 Spatial correlation.

6.2 Spatial point patterns and complete spatial randomness.

6.3 Spatial measurement.

6.4 Spatial prediction.

Exercises.

7 Combining environmental information.

7.1 Combining P-values.

7.2 Effect size estimation.

7.3 Meta-analysis.

7.4 Historical control information.

Exercises.

8 Fundamentals of environmental sampling.

8.1 Sampling populations – simple random sampling.

8.2 Designs to extend simple random sampling.

8.3 Specialized techniques for environmental sampling.

Exercises.

A Review of probability and statistical inference.

A.1 Probability functions.

A.2 Families of distributions.

A.3 Random sampling.

A.4 Parameter estimation.

A.5 Statistical inference.

A.6 The delta method.

B Tables.

References.

Author index.

Subject index.