PART I. Fundamentals of Probability and Statistical Thinking
1. An Introduction to Probability
2. Random Variables and Probability Distributions
3. Summary Statistics: Measures of Location and Spread
4. Framing and Testing Hypotheses
5. Three Frameworks for Statistical Analysis
PART II. Designing Experiments
6. Designing Successful Field Studies
7. A Bestiary of Experimental and Sampling Designs
8. Managing and Curating Data
PART III. Data Analysis
9. Regression
10. The Analysis of Variance
11. The Analysis of Categorical Data
12. The Analysis of Multivariate Data
PART IV. Estimation
13. The Measurement of Biodiversity
14. Detecting Populations and Estimating their Size
Appendix: Matrix Algebra for Ecologists
Nicholas J. Gotelli is Professor in the Department of Biology at
the University of Vermont. He graduated with a B.A. from the
University of California, Berkeley in 1980, and earned his Ph.D. at
Florida State University in 1985. He is also the author of A Primer
of Ecology, Fourth Edition (2008), Null Models in Ecology (with
Gary R. Graves; 1996), A Field Guide to the Ants of New England
(with Aaron M. Ellison, Elizabeth
J. Farnsworth, and Gary D. Alpert; 2012), and EcoSim, an ecological
software package. His research interests include: the evolutionary
ecology of carnivorous plants, heat shock proteins and the
responses of ant assemblages to climate change,
environmental proteomics, biogeography, and statistical ecology.
Dr. Gotelli currently serves on the editorial boards of Ecology,
The Journal of Biogeography, Scientific Reports, and Myrmecological
News.
Aaron M. Ellison is Senior Research Fellow in Ecology at the
Harvard Forest, and Adjunct Professor in the Graduate Program in
Organismic and Evolutionary Biology at the University of
Massachusetts at Amherst. He received a B.A. in 1982 from Yale
University and a Ph.D. from Brown University in 1986. Dr. Ellison
received the National Science Foundation's Presidential Faculty
Fellow award in 1992 for "demonstrated excellence and continued
promise both in scientific and engineering
research and in teaching future generations of students to extend
and apply human knowledge." He is also the author of A Field Guide
to the Ants of New England (with Nicholas J. Gotelli, Elizabeth J.
Farnsworth, and
Gary D. Alpert; 2012). His research foci include: food web
dynamics, community ecology of wetlands and forests, evolutionary
ecology of carnivorous plants, and the application of Bayesian
inference to ecological research and environmental decision-making.
Dr. Ellison is the Editor-in-Chief of Ecological Monographs.
"Things that set this volume apart from the ordinary include short
discussions of more advanced methods at the end of most chapters, a
full chapter on data management, two chapters on study design, and
wonderful footnotes with historical notes and short
biographies."--Philip Dixon, The Quarterly Review of Biology
"Many ecology-related degrees require only a single statistics
course, leaving a wide gap between students' knowledge and what
they need to know. Gotelli and Ellison's book--written by
ecologists with extensive experience teaching graduate and
undergraduate statistics courses--helps fill this gap. I have found
this book, aided by the very easy writing style of the authors, is
equally well received by graduate and undergraduate students as a
textbook in courses
on ecological analyses, particularly when used as a bridge to more
advanced books on specific topics. The book uses ecological data
throughout, much of it collected by the authors, and all data
are
available on the book's web site, making it easy to use those data
in labs."--Michael Gillingham, The American Statistician
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