23566 - Survival Analysis

Academic Year 2011/2012

  • Teaching Mode: Traditional lectures
  • Campus: Bologna
  • Corso: Second cycle degree programme (LM) in STATISTICAL SCIENCES (cod. 8055)

Learning outcomes

The aims of this course are to introduce the basic concepts of survival analysis and to explain and illustrate how survival analysis is applied to biomedical data.

Course contents

Introduction to the analysis of survival data in biomedical research, censoring and truncation. Estimation of the integrated survivorship functions with non parametric methods: Kaplan-Meier product-limit and lifetable methods.

Hazard function: definition ed estimate. Relationship between hazard, survivorship and density funcion in survival data analysis.

Comparison of survivorship functions: log-rank and Wilcoxon rank sum  test.

Semiparametric Cox regression model: definition, assumptions, estimation and hypothesis tests; interpretation of estimated coefficients and residual analysis.

Extensions of the proportional hazard model: stratification and time-varying coefficients.

Parametric regression models. The exponential regression model. Weibull, Log-normal, log-logistic and generalized gamma regression models.

Accelerated failure time data.

Competing risk models. Frailty model.

Longitudinal data analysis.

Case studies

Readings/Bibliography

D. COLLETT, Modelling survival data in medical research, Chapman & Hall, 2003

D. W. HOSMER, S. LEMESHOW, Applied Survival Analysis: Regression Modeling of Time to Event Data, Wiley, New York, 1999.

E.T.LEE, Statistical Methods for Survival Data Analysis, Wiley, New York, 2003

Teaching methods

Traditional lessons

Seminar

Computer session

Assessment methods

Computer laboratory test and oral examination

Teaching tools

Computer session

Office hours

See the website of Rossella Miglio