In Mixed Effects Models and Extensions in Ecology with R the authors provide an expanded introduction to using regression and its extensions in analysing ecological data. The first part of the book is a largely non-mathematical introduction to linear mixed effects modelling, GLM and GAM, zero inflated models, GEE, GLMM and GAMM. The second part provides ten case studies that range from koalas to deep sea research.
These chapters provide an invaluable insight into analysing complex ecological datasets, including comparisons of different approaches to the same problem. By matching ecological questions and data structure to a case study, these chapters provide an excellent starting point to analysing the reader's own data.
- Limitations of linear regression applied on ecological data
- Things are not always linear; additive modelling
- Dealing with hetergeneity
- Mixed modelling for nested data
- Violation of independence; temporal data
- Violation of independence; spatial data
- Generalised linear modelling and generalised additive modelling
- Generalised estimation equations
- GLMM and GAMM
- Estimating trends for Antarctic birds in relation to climate change
- Large-scale impacts of land-use change in a Scottish farming catchment
- Negative binomial GAM and GAMM to analyse amphibian road killings
- Additive mixed modelling applied on deep-sea plagic bioluminescent organisms
- Additive mixed modelling applied on phyoplankton time series data
- Mixed modelling applied on American Fouldbrood affecting honey bees larvae
- Three-way nested data for age determination techniques applied to small cetaceans
- GLMM applied on the spatial distribution of koalas in a fragmented landscape
- GEE and GLMM applied on binomial Badger activity data
"For many people dealing with statistics is like jumping into ice-cold water. This metaphor is depicted by the cover of this book [...] . full of excellent example code and for most graphs and analyses the code is printed and explained in detail. [...] Each example finishes with [...] valuable information for a person new to a technique. In summary, I highly recommend the book to anyone who is familiar with basic statistics [...] who wants to expand his/her statistical knowledge to analyse ecological data."
– Bernd Gruber, Basic and Applied Ecology, Vol. 10, 2009
"This book is written in a very approachable conversational style. The additional focus on the heuristics of the process rather than just a rote recital of theory and equations is commendable. This type of approach helps the reader get behind the 'why' of what's being done rather than blindly follow a simple list of rules. [...] In short, this text is good for researchers with at least a little familiarity with the basic concepts of modeling and who want some solid stop-by-stop guidance with examples on how common ecological modeling tasks are accomplished using R."
– Aaron Christ, Journal of Statistical Software, November 2009, Vol. 32
"The authors succeed in explaining complex extensions of regression in largely nonmathematical terms and clearly present appropriate R code for each analysis. A major strength of the text is that instead of relying on idealized datasets [...] the authors use data from consulting projects or dissertation research to expose issues associated with 'real' data. [...] The book is well written and accessible [...] . the volume should be a useful reference for advanced graduate students, postdoctoral researchers, and experienced professionals working in the biological sciences."
– Paul E. Bourdeau, The Quarterly Review of Biology, Vol. 84, December, 2009
"This is a companion volume to Analyzing Ecology Data by the same authors. [...] It extends the previous work by looking at more complex general and generalized linear models involving mixed effects or heterogeneity in variances. It is aimed at statistically sophisticated readers who have a good understanding of multiple regression models [...] .The pedagogical style is informal [...] . The authors are pragmatists – they use combinations of informal graphical approaches, formal hypothesis testing, and information-theoretical model selection methods when analyzing data. [...] Advanced graduate students in ecology or ecologists with several years of experience with 'messy' data would find this book useful. [...] Statisticians would find this book interesting for the nice explorations of many of the issues with messy data. This book would be (very) suitable for a graduate course on statistical consulting – indeed, students would learn a great deal about the use of sophisticated statistical models in ecology! [...] I very much liked this book (and also the previous volume). I enjoyed the nontechnical presentations of the complex ideas and their emphasis that a good analysis uses 'simple statistical methods wherever possible, but doesn't use them simplistically.'"
– Biometrics, Summer 2009, 65, 992–993
"This book is a great introduction to a wide variety of regression models. [...] This text examines how to fit many alternative models using the statistical package R. [...] The text is a valuable reference [...] . A large number of real datasets are used as examples. Discussion on which model to use and the large number of recent references make the book useful for self study [...] ."
– David J. Olive, Technometrics, Vol. 52 (4), November, 2010