MATH-449 / 5 credits

Teacher: Stensrud Mats Julius

Language: English

## Summary

This course covers statistical methods that are widely used in medicine and biology. A key topic is the analysis of longitudinal data: that is, methods to evaluate exposures, effects and outcomes that are functions of time. While motivated by real-life problems, some of the material will be abstract

## Content

• Analysis of time-to-events (survival analysis / failure time analysis)
• Censoring
• Likelihood functions for censored data
• Martingales
• Identification of parameters with a clear interpretation
• Non-parametric and semi-parametric estimators
• Discrete vs continuous time
• Longitudinal data analysis
• Parametric regression models
• Semi-parametric models
• Interpretation and evaluation of statistical parameters
• Description, Prediction and Causal inference
• Biases
• Sensitivity analyses
• Precision medicine
• Identification and estimation of optimal regimes
• Optimal time-varying treatment regimes

## Keywords

Biostatistics; statistical inference; survival analysis; longitudinal data; research synthesis

## Required courses

The students are expected to have taken introductory courses in statistical theory, probability theory and regression modeling.

## Important concepts to start the course

Likelihood theory, statistical testing. Experience with R is an advantage, but is not required.

## Learning Outcomes

By the end of the course, the student must be able to:

• Identify statistical methods that are suitable for answering a given scientific problem.
• Justify why a statistical method is applied to given problem.
• Apply methods that have been taught in the course.
• Critique evaluate published studies and methodologies.

## Transversal skills

• Communicate effectively with professionals from other disciplines.
• Access and evaluate appropriate sources of information.
• Demonstrate the capacity for critical thinking

## Teaching methods

Classroom lectures, where I will use Beamer slides and the blackboard. Exercises and take-home projects that will require programing in R.

## Assessment methods

Final written exam and continuous assessment.

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

## Supervision

 Office hours No Assistants Yes Forum No

No

## Bibliography

Teaching resources

• Aalen, O., Borgan, O. and Gjessing, H., 2008. Survival and event history analysis: a process point of view. Springer
• Andersen, P.K., Borgan, O., Gill, R.D. and Keiding, N., 2012. Statistical models based on counting processes. Springer

## In the programs

• Semester: Spring
• Exam form: Written (summer session)
• Subject examined: Biostatistics
• Lecture: 2 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: optional
• Semester: Spring
• Exam form: Written (summer session)
• Subject examined: Biostatistics
• Lecture: 2 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: optional
• Semester: Spring
• Exam form: Written (summer session)
• Subject examined: Biostatistics
• Lecture: 2 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: optional
• Semester: Spring
• Exam form: Written (summer session)
• Subject examined: Biostatistics
• Lecture: 2 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: optional
• Semester: Spring
• Exam form: Written (summer session)
• Subject examined: Biostatistics
• Lecture: 2 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: optional
• Semester: Spring
• Exam form: Written (summer session)
• Subject examined: Biostatistics
• Lecture: 2 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: optional
• Semester: Spring
• Exam form: Written (summer session)
• Subject examined: Biostatistics
• Lecture: 2 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: optional
• Exam form: Written (summer session)
• Subject examined: Biostatistics
• Lecture: 2 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: optional
• Semester: Spring
• Exam form: Written (summer session)
• Subject examined: Biostatistics
• Lecture: 2 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: optional

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