Introduction
1
Terminology and notation
2
Survival models with random effects
2.1
Univariate frailty models
2.2
Shared frailty models
2.3
Alternative formulation
3
Joint models for longitudinal and survival data
3.1
Model formulation
3.2
Estimation process
4
Computational challenges in survival models with random effects
4.1
Numerical integration
4.1.1
Unidimensional functions
4.1.2
Multidimensional functions
4.2
Numerical differentiation
4.3
Numerical root finding
5
Simulation study: accuracy of Gaussian quadrature
5.1
Data-generating mechanisms
5.2
Methods, estimands, and performance measures
5.3
Results
5.3.1
Aim 1: accuracy compared to analytical formulae
5.3.2
Aim 2: accuracy when analytical formulae are not available
5.4
Conclusions
6
Simulation study: impact of misspecification in survival models with shared frailty terms
6.1
Aim
6.2
Data-generating mechanisms
6.3
Methods
6.4
Estimands
6.5
Performance measures
6.6
Results
6.7
Conclusions
7
Exploring results from simulation studies interactively
8
Informative visiting process
9
Future research developments
10
Personal development
10.1
Supervisory meetings
10.2
Training and courses
10.3
Conferences
Appendix
A
Tables
B
Plots
C
Slides
C.1
2017 SAfJR Conference
C.2
2017 SAM Conference and ISCB Conference
C.3
Students’ Day at the 2017 ISCB Conference
D
Manuscript draft
References
Probation review report
D
Manuscript draft
