The New Statistics with R: An Introduction for Biologists
The New Statistics with R: An Introduction for Biologists
Professor of Ecology, Department of Plant Sciences
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Abstract
Statistics is a fundamental component of the scientific toolbox, but learning the basics of this area of mathematics is one of the most challenging parts of a research training. This book gives an up-to-date introduction to the classical techniques and modern extensions of linear model analysis—one of the most useful approaches in the analysis of scientific data in the life and environmental sciences. The book emphasizes an estimation-based approach that takes account of recent criticisms of over-use of probability values and introduces the alternative approach using information criteria. The book is based on the use of the open-source R programming language for statistics and graphics that is rapidly becoming the lingua franca in many areas of science. Statistics is introduced through worked analyses performed in R using interesting data sets from ecology, evolutionary biology, and environmental science. The data sets and R scripts are available as supporting material.
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Front Matter
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1
Introduction
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2
Comparing Groups: Analysis of Variance
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3
Comparing Groups: Student’s t-test
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4
Linear Regression
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5
Comparisons Using Estimates and Intervals
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6
Interactions
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7
Analysis of Covariance: ANCOVA
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8
Maximum Likelihood and Generalized Linear Models
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9
Generalized Linear Models for Data with Non-Normal Distributions
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10
Mixed-Effects Models
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11
Generalized Linear Mixed-Effects Models
- 12 Final Thoughts
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End Matter
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