Survival Analysis

Code: MAT13610M

6 ECTS

Duration: 15 weeks/156 hours

Scientific Area: Mathematics

Teaching languages: Portuguese

Languages of tutoring support: Portuguese

Sustainable Development Goals

4. Educação de qualidade - Assegurar a educação inclusiva, e equitativa e de qualidade, e promover oportunidades de aprendizagem ao longo da vida para todos.

Learning Goals

Goals:
It is intended to provide students with fundamental concepts of survival analysis, allowing them to correctly apply and interpret parametric, nonparametric and semi-parametric models for survival data from several areas.

Skills:
To know how to use nonparametric methods correctly, not only in analyzing a single sample of survival data, but in comparing two or more groups.
To know how to implement, analyze and interpret a survival model.
To know how to identify and to apply the appropriate methods and models in each situation.
To know how to use the right statistical software correctly and to interpret the outputs in a critical way.

Module 1: Introduction to Survival Analysis
Basics concepts of survival analysis (survival, risk and cumulative risk functions, censured and truncated data).
Nonparametric Estimation (Kaplan-Meier and Nelson Aalen estimators, Confidence Intervals)
Survival curve comparison tests.
Cox proportional hazards model.
Parametric regression models.

Module 2: Advanced Survival Analysis
Extensions of the Cox Model (stratified and time-dependent covariates).
Aalen Additive Model.
Frailty models.
Multiple risk models.
Competitive risk models.

Teaching Methods

Theoretical-practical lessons lectured with a blackboard and with e-learning tools. Introduction to theoretical concepts appealing to examples in different areas (health, economy, management=. Emphasis in the resolution of real problems. To emphasize in modeling, critical analysis and interpretation of data on basis of software outputs.

Assessment

Continuous assessment with the completion of 2 individual or group assignments, with a weight of 50% each.
The final assessment regime consists of a written exam in the regular period and a written exam in the appeal period, with a weight of 75%, and 2 individual or group works, with a weight of 12.5% each.
The student is Approved in the case of obtaining a classification equal to or greater than 10 values.