Statistics for Environmental Biology and Toxicology  book cover
1st Edition

Statistics for Environmental Biology and Toxicology

ISBN 9780412047312
Published July 1, 1997 by Chapman and Hall/CRC
596 Pages

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Book Description

Statistics for Environmental Biology and Toxicology presents and illustrates statistical methods appropriate for the analysis of environmental data obtained in biological or toxicological experiments. Beginning with basic probability and statistical inferences, this text progresses through non-linear and generalized linear models, trend testing, time-to-event data and analysis of cross-classified tabular and categorical data. For the more complex analyses, extensive examples including SAS and S-PLUS programming code are provided to assist the reader when implementing the methods in practice.

Table of Contents

Basic Probability and Statistical Distributions
Introductory Concepts in Probability
Families of Discrete Distributions
Families of Continuous Distributions
The Exponential Class
Families of Multivariate Distributions
Fundamentals of Statistical Inference
Introductory Concepts in Statistical Estimation
Nature and Properties of Estimators
Techniques for Constructing Statistical Estimators
Statistical Inference - Testing Hypotheses
Statistical Inference - Confidence Intervals
Confidence Intervals for Some Special Distributions
Semi-Parametric Inference
Fundamental Issues in Experiment Design
Basic Terminology in Experiment Design
The Experimental Unit
Random Sampling and Randomization
Sample Sizes and Optimal Animal Allocation
Dose Selection
Data Analysis of Treatment versus Control Differences
Two-Sample Comparisons - Testing Hypotheses
Two-Sample Comparisons - Confidence Intervals
Treatment-versus-Control Multiple Comparisons
Comparing More than Two Populations
Multiple Comparisons via Bonferroni's Inequality
Multiple Comparisons among a Control - Normal Sampling
Multiple Comparisons among Binomial Populations
Multiple Comparisons with a Control - Poisson Samling
All-Pairwise Multiple Comparisons
Trend Testing
Simple Linear Regression for Normal Data
William's Test for Normal Data
Trend Tests for Proportions
Cochran-Armitage Trend Test for Counts
Overdispersed Discrete Data
Distribution-Free Trend Testing
Nonparametric Tests for Nonmonotone ("Umbrella") Trends
Dose-Response Modeling and Analysis
Dose-Response Models on a Continuous Scale
Dose-Response Models on a Discrete Scale
Potency Estimation for Dose-Response Data
Comparing Dose-Response Curves
Introduction to Generalized Linear Models
Review of Classical Linear Models
Generalizing the Classical Linear Model
Generalized Linear Models
Examples and Illustrations
Analysis of Cross-Classified Tabular/Categorical Data
RxC Contingency Tables
Statistical Distributions for Categorical Data
Statistical Tests of Independence in RxC Tables
Log-Linear Models and Relationships to GLiMs
Tables of Proportions
Incorporating Historical Control Information
Guidelines for Using Historical Control Data
Two-Sample Hypothesis Testing - Normal Distribution Sampling
Two-Sample Hypothesis Testing - Binomial Sampling
Trend Testing with Historical Controls
Survival Data Analysis
Survival Data
Lifetime Distributions
Estimating the Survivor Function
Nonparametric Methods for Comparing Survival Curves
Regression Models for Survival Data

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"Teachers of statistics to students from other disciplines could will find this book useful, both for its condensed summaries of some of the more sophisticated techniques-in particular that for generalized linear models is helpful and also for the copious exercises and worked examples."
-Short Book Reviews of the ISI
"…I strongly recommend this text and believe it to be an excellent supplement for any biostatistics course or courses in related disciplines."
-Australian & New Zealand Journal of Statistics
"This book is an excellent source for information about the relevant statistical methods with a strong emphasis on applications. This is one of the best books that I have seen recently."
-Technometrics, Vol. 40, No.3

"The many examples are well selected and illustrate the use of the methods introduced on relevant data."… the book introduces many statistical concepts, it is concise but careful and it has many good examples…. could be used as a basic statistical textbook for researchers in environmental biology."
-Statistics in Medicine, Vol. 20: 1143-1152, 2001