NMAK16019U Survival Analysis
MSc Programme in Statistics
Survival analysis or failure time data analysis means the statistical analysis of data, where the response of interest is the time T from a well-defined time origin to the occurrence of some given event (end-point). In biomedicine the key example is the time from randomization to a given treatment for some patients until death occurs leading to the observation of survival times for these patients. The objective may be to compare different treatment effects on the survival time possibly correcting for information available on each patient such as age and disease progression indicators. This leaves us with a statistical regression analysis problem. Standard methods will, however, often be inappropriate because survival times are frequently incompletely observed with the most common example being right censoring. The survival time T is said to be right censored if it is only known that T is larger than an observed right censoring value. This may be because the patient is still alive at the point in time where the study is closed and the data are to be analyzed, or because the subject is lost for follow-up due to other reasons.
The course gives a broad introduction to concepts and methods in survival and event history analysis. Topics covered include counting processes and martingales; the Nelson-Aalen and Kaplan-Meier estimators; the log-rank test; hazard regression models including Cox proportional hazards regression and additive hazards regression; goodness-of-fit tools based on martingale residuals; analysis of clustered survival data using frailty models and/or marginal models; competing risk models; statistical computing in R.
Knowledge:
* A basic understanding of survival analysis techniques and when they need to be applied.
Skills: Ability to
* Perform practical analyses of event type
outcomes. Using regression
models and non-parametric methods.
Validate the used models.
* Understand and establish etimating equations in
the context of
event history data. Derive asymptotic
properties based on estimating
equations.
Comptences: Ability to
* explain and understand when survival analyses methods are needed.
* derive asymptotic distributions for simple estimating equations.
* to engage in collaborative work with other
researchers in the context of
survival analysis.
- Category
- Hours
- Exam
- 32
- Exercises
- 14
- Lectures
- 28
- Preparation
- 132
- Total
- 206
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- Credit
- 7,5 ECTS
- Type of assessment
- Written assignment, 3 daysA takehome exam combining theoretical and practical work.
- Aid
- All aids allowed
- Marking scale
- passed/not passed
- Censorship form
- No external censorship
One internal examiner
- Re-exam
Same as ordinary exam except if ten or less students are signed up. In that case the format is changed to 30 min oral exam with 30 min preparation time, several internal examiners and all aids allowed.
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.
Course information
- Language
- English
- Course code
- NMAK16019U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 2
- Schedule
- B
- Course capacity
- No restrictions/ no limitations
- Continuing and further education
- Study board
- Study Board of Mathematics and Computer Science
Contracting departments
- Department of Mathematical Sciences
- Department of Public Health
Course responsibles
- Thomas Scheike (4-7b6f7a6a477a7c756b35727c356b72)
- Torben Martinussen (3-7a736746797b746a34717b346a71)