Extending the Linear Model with R

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A01=Julian J. Faraway
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advanced statistical modelling with R
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Author_Julian J. Faraway
automatic-update
Bayesian analysis of mixed effect models
binary and binomial responses
Box Cox Method
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Category=PBT
Complementary Log Log
COP=United States
data analysis
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Dev Df Deviance
Dispersion Parameter
eq_isMigrated=2
eq_nobargain
extensions to the linear regression model
Gaussian Linear Model
generalized linear mixed models
generalized linear models
ggplot2 visualisation
GLM diagnostics
Half Normal Plot
hypothesis testing
INLA
Kenward Roger Approximation
Language_English
Linear Predictor
LRT.
Mars Approach
Mass Package
Min 1Q Median 3Q Max
mixed effect models
multilevel modelling
Negative Binomial
neural network methods
neural networks in statistics
nonparametric regression models
Null Deviance
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Partial Residual Plot
Pearson Residuals
poisson regression
Posterior Density
Posterior Distributions
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Qq Plot
R code
Residual Deviance
robust variance estimation
Single Term Deletions
softlaunch
zero inflated models
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Product details

  • ISBN 9781498720960
  • Weight: 760g
  • Dimensions: 156 x 234mm
  • Publication Date: 24 Mar 2016
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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Start Analyzing a Wide Range of Problems

Since the publication of the bestselling, highly recommended first edition, R has considerably expanded both in popularity and in the number of packages available. Extending the Linear Model with R: Generalized Linear, Mixed Effects and Nonparametric Regression Models, Second Edition takes advantage of the greater functionality now available in R and substantially revises and adds several topics.

New to the Second Edition

  • Expanded coverage of binary and binomial responses, including proportion responses, quasibinomial and beta regression, and applied considerations regarding these models
  • New sections on Poisson models with dispersion, zero inflated count models, linear discriminant analysis, and sandwich and robust estimation for generalized linear models (GLMs)
  • Revised chapters on random effects and repeated measures that reflect changes in the lme4 package and show how to perform hypothesis testing for the models using other methods
  • New chapter on the Bayesian analysis of mixed effect models that illustrates the use of STAN and presents the approximation method of INLA
  • Revised chapter on generalized linear mixed models to reflect the much richer choice of fitting software now available
  • Updated coverage of splines and confidence bands in the chapter on nonparametric regression
  • New material on random forests for regression and classification
  • Revamped R code throughout, particularly the many plots using the ggplot2 package
  • Revised and expanded exercises with solutions now included

Demonstrates the Interplay of Theory and Practice

This textbook continues to cover a range of techniques that grow from the linear regression model. It presents three extensions to the linear framework: GLMs, mixed effect models, and nonparametric regression models. The book explains data analysis using real examples and includes all the R commands necessary to reproduce the analyses.

Julian J. Faraway is a professor of statistics in the Department of Mathematical Sciences at the University of Bath. His research focuses on the analysis of functional and shape data with particular application to the modeling of human motion. He earned a PhD in statistics from the University of California, Berkeley.

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