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Mathematics - Probability Theory and Stochastic Processes | Nonlinear Regression with R

Nonlinear Regression with R

Series: Use R!

Ritz, Christian, Streibig, Jens Carl

2008, XII, 148p.

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  • Is unique because it approaches non-linear regression modeling through the functionality available in R, such that the analysis in many respects is carried out using the same commands and functions as would be used to analyze linear or generalized linear or other models in R

R is a rapidly evolving lingua franca of graphical display and statistical analysis of
experiments from the applied sciences. Currently, R offers a wide range of functionality for nonlinear regression analysis, but the relevant functions, packages and documentation are scattered across the R environment. This book provides a coherent and unified treatment of nonlinear regression with R by means of examples from a diversity of applied sciences such as biology, chemistry, engineering, medicine and toxicology.
The book begins with an introduction on how to fit nonlinear regression models in R. Subsequent chapters explain in more depth the salient features of the fitting function nls(), the use of model diagnostics, the remedies for various model departures, and how to do hypothesis testing. In the final chapter grouped-data structures, including an example of a nonlinear mixed-effects regression model, are considered.
Christian Ritz has a PhD in biostatistics from the Royal Veterinary and Agricultural University. For the last 5 years he has been working extensively with various applications of nonlinear regression in the life sciences and related disciplines, authoring several R packages and papers on this topic. He is currently doing postdoctoral research at the University of Copenhagen.
Jens C. Streibig is a professor in Weed Science at the University of Copenhagen. He has for more than 25 years worked on selectivity of herbicides and more recently on the ecotoxicology of pesticides and has extensive experience in applying nonlinear regression models. Together with the first author he has developed short courses on the subject of this book for students in the life sciences.

Content Level » Professional/practitioner

Keywords » Fitting - Regression analysis - grouped data - linear regression - regression diagnostics - self starter functions - transform-both-sides approach

Related subjects » Computational Intelligence and Complexity - Forestry - Pharmacology & Toxicology - Probability Theory and Stochastic Processes - Public Health - Statistical Theory and Methods

Table of contents 

Introduction. - Getting started. - Starting values and self starters. - More on nls (). - Model diagnostics. - Remedies for model variations. - Uncertainty, hypothesis testing and model selection. - Grouped data. - Appendix A: Datasets and models. - Appendix B: Self starter functions. - Appendix C: Packages and functions. - References. - Index.

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