Extending the Linear Model with R: Generalized Linear, Mixed Effects and Nonparametric Regression Models, Second Edition (Hardcover, 2)

Introduction

Binary Response
Heart Disease Example
Logistic Regression
Inference
Diagnostics
Model Selection
Goodness of Fit
Estimation Problems

Binomial and Proportion Responses
Binomial Regression Model
Inference
Pearson’s χ² Statistic
Overdispersion
Quasi-Binomial
Beta Regression

Variations on Logistic Regression
Latent Variables
Link Functions
Prospective and Retrospective Sampling
Prediction and Effective Doses
Matched Case-Control Studies

Count Regression
Poisson Regression
Dispersed Poisson Model
Rate Models
Negative Binomial
Zero Inflated Count Models

Contingency Tables
Two-by-Two Tables
Larger Two-Way Tables
Correspondence Analysis
Matched Pairs
Three-Way Contingency Tables
Ordinal Variables

Multinomial Data
Multinomial Logit Model
Linear Discriminant Analysis
Hierarchical or Nested Responses
Ordinal Multinomial Responses

Generalized Linear Models
GLM Definition
Fitting a GLM
Hypothesis Tests
GLM Diagnostics
Sandwich Estimation
Robust Estimation

Other GLMs
Gamma GLM
Inverse Gaussian GLM
Joint Modeling of the Mean and Dispersion
Quasi-Likelihood GLM
Tweedie GLM

Random Effects
Estimation
Inference
Estimating Random Effects
Prediction
Diagnostics
Blocks as Random Effects
Split Plots
Nested Effects
Crossed Effects
Multilevel Models

Repeated Measures and Longitudinal Data
Longitudinal Data
Repeated Measures
Multiple Response Multilevel Models

Bayesian Mixed Effect Models
STAN
INLA
Discussion

Mixed Effect Models for Nonnormal Responses
Generalized Linear Mixed Models
Inference
Binary Response
Count Response
Generalized Estimating Equations

Nonparametric Regression
Kernel Estimators
Splines
Local Polynomials
Confidence Bands
Wavelets
Discussion of Methods
Multivariate Predictors

Additive Models
Modeling Ozone Concentration
Additive Models Using mgcv
Generalized Additive Models
Alternating Conditional Expectations
Additivity and Variance Stabilization
Generalized Additive Mixed Models
Multivariate Adaptive Regression Splines

Trees
Regression Trees
Tree Pruning
Random Forests
Classification Trees
Classification Using Forests

Neural Networks
Statistical Models as NNs
Feed-Forward Neural Network with One Hidden Layer
NN Application
Conclusion

Appendix A: Likelihood Theory
Appendix B: About R