The main ideas of the
course are to develop a critical approach to the analysis of survival data
often encountered in health and actuarial sciences research. This process will
include gaining some technical insight (mechanics of the statistical
methodology behind the ideas) as well as applications of these methods in
survival time related data. One of the main objective of this course isto gain
experience in survival data analysis using statistical software packages (MS
Excel,SPSS, STATA and Mathematica etc.)
Recognize or describe the type of problem
addressed by a survival analysis.
Define what is meant by censored data.
Give reasons why data may be censored.
Define survivor function.
Define a hazard function.
Describe the relationship between a survivor
function and a hazard function.
Identify the basic data layout for the
computer; in particular, put a given set of survival data into this layout.
Construction of actuarial life tables
Compute Kaplan-Meier probabilities of
survival, given survival time and failure status information on a sample of
Interpret a graph of KM curves that compare
two or more groups
Draw conclusions as the whether or not two or
more survival curves are the same based on
Computer results that provide a log-rank test.
Draw conclusions as to whether or not two or
more survival curves are the same based on computer results that provide a
Decide whether the log-rank test or the
Breslow test is more appropriate for a given set of survival data.
State the general form of the Cox proportional
State specific form of a Cox PH model
appropriate for analysis, given a survival analysis scenario involving one or
more explanatory variables.
State or recognize the form and properties of
the baseline hazard function in the Cox PH model.
Give at least three reasons for the popularity
of the Cox PH model.
State the meaning of the PH assumption
Given a computer printout involving one or
more fitted Cox PH models;
Compute any hazard ratio of interest
Carry out and interpret a designated test of
Evaluate interaction and confounding involving
one or more covariates.
Evaluating the Proportional Hazard Assumption
State three general approaches for evaluating
the PH assumption.
Summarize how log-log survival curves may be
used to assess the PH assumption.
Summarize how observed versus expected plots
may be used to assess the PH assumption.
Summarize how GOF tests may be used to assess
the PH assumption.
Describe given survival data or computer
output form a survival analysis that uses a Cox PH model, how to assess the PH
assumption for one or more variables in the model using
The GOF approach
An extended Cox model with time dependent
The Stratified Cox Procedure
Explain a computer printout for a stratified
State the hazard form of a stratified Cox
model for a given survival analysis scenario and /or a given set of computer
results for such a model
Evaluate the effect of a predictor of interest
base on computer results form a stratified Cox procedure.
For a given survival analysis scenario and/or
a given set of computer results involving a stratified Cox model
State the no-interaction assumption for the
Describe and/or carry out a test of the
Describe and/or carry out an analysis when the
no-interaction assumption is not satisfied.
State the general form of the Cox model
extended for the time dependent variables.
State the specific form of an extended Cox
model appropriate for the analysis, given a survival analysis scenario
involving one or more time-dependent variables.
State the formula for a designated hazard
ratio of interest, given scenario describing a survival analysis using an
extended Cox model.
State the formula for an extended Cox model
that provides a method for checking the PH assumption for one more of the time
independent variables in the model, given a scenario describing a survival
State the formula for the hazard ratio during
different time interval categories specified by the heavy side functions.
Parametric Survival Analysis Exponential
Kleinbaum, D. (2002). Survival Data Analysis:
A self learning text, Second Edition, Springer Varlag
Elisa T. Lee (1998) Introduction to Survival
time Data, Second Edition, Wiley.