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Biostatistics ΙΙ (7 ECTS)

Course Code: 
Elective Courses

Survival data and their properties. Survival time functions (survival function, risk function, average residual life) and their interrelationships. Survival time parametric models examples: Exponential , Weibull, Log-logistic etc). Non parametric survival analysis, estimating functions methods: : Product-Limit (Kaplan-Meier) and Nelson-Aalen estimators. Standard errors, types of confidence intervals (plain, log, cloglog) and inference. Methods of comparing survival function: Logrank test and generalizations. Extension to more than two samples.

Parametric survival analysis: Distribution fitting with the maximum likelihood method. Hypothesis testing, asymptotic theory, types of confidence intervals and inference. Generalization for two samples. Survival analysis with instrumental variables: Cox’s model of analog risks, partial likelihood and inference. Accelerated Failure Time model. Model interpretation through Bayesian examples. Survival analysis and frailty. Introduction to clinical trials. Designs (parallel, crossover, cross-sectional, etc.). Sample size and power. Treatment allocation randomization, adjustable designs. Meta analysis.

Recommended Reading

  • Μπεσμπέας (2015) Ανάλυση Επιβίωσης. Σύγγραμμα (150 σελ.).
  • Rosner, B. (2010). Fundamentals of Biostatistics. 7th International edition, Brooks/Cole – Νέα έκδοση θα βγει σύντομα.
  • Armitage, P., Berry, G. and Mathews JNS (2002). Statistical Methods in Medical Research. 4th Edition. Blackwell Science.
  • Hosmer, D. W., Lemeshow, S. and May S. (2008). Applied Survival Analysis: Regression Modeling of Time to Event Data, Second Edition, Wiley-Blackwell.
  • Friedman L.M., Furberg C.D. and DeMets, D.L. (2010). Fundamentals of Clinical Trials.  4th  edition, Springer.
  • Collett D. (2003). Modelling survival data in medical research, Second edition. Chapman and Hall.
  • J.F. Lawless (2002). Statistical Models and Methods for Lifetime Data, Second Edition. Wiley.
  • D.R. Cox and D. Oakes (1984). Analysis of survival data. Chapman and Hall.
  • S. Piantadosi (2005). Clinical Trials: A Methodological Perspective Second Edition. Wiley.

(old title: "Survival Analysis")