Statistical Modelling
Preliminary remarks
1
Introduction to statistical inference
1.1
Hypothesis testing
1.2
Exploratory Data Analysis
2
Linear regression
2.1
Introduction
2.2
Ordinary least squares
2.3
Interpretation of the model parameters
2.4
Tests for parameters of the linear model
2.5
Coefficient of determination
2.6
Predictions
2.7
Interactions
2.8
Collinearity
2.9
Graphical analysis of residuals
2.10
Transformation of the response
3
Likelihood-based inference
3.1
Maximum likelihood
3.2
Likelihood-based tests
3.3
Profile likelihood
3.4
Information criteria
4
Generalized linear models
4.1
Basic principles
4.2
Theory of generalized linear models
4.3
Binary responses
4.4
Count data
4.5
Modelling proportions
4.6
Rates
5
Correlated and longitudinal data
5.1
Longitudinal data
6
Linear mixed models
6.1
Partial pooling
7
Survival analysis
Appendix
A
Complements
A.1
Population and samples
A.2
Random variable
A.3
Laws of large numbers
A.4
Central Limit Theorem
B
Supplementary material
B.1
Derivation of the ordinary least squares estimator
B.2
Derivation of the coefficient of determination
B.3
Restricted estimation maximum likelihood
C
R
C.1
Basics of
R
C.2
Linear models in
R
using the
lm
function
References
Published with bookdown
Statistical Modelling
7
Survival analysis