STA 312: Survival Analysis
University of Toronto Mississauga,
Fall 2023
Instructor:
Jerry Brunner
Lecture Tuesday 4:10 - 6:00 p.m. in DV2074
and Thursday 4:10 - 5:00 p.m. in DH2060
Tutorials Friday 5:10 - 6:00 p.m. in DV2074, except that tutorial will be in DH2060 on October 20 and November 17.
https://piazza.com/utoronto.ca/fall2023/sta312
Office hours and locations are posted on the Course Outline.
Note: This page is under construction, and will be updated frequently
throughout the term.
The following material has been corrected and re-posted.
- Solution to Assignment 8, Question 5 (in red).
- Solution to Assignment 9, Question 14d.
- Pages 5 and 6 from the solutions to Assignment 7 were missing. They have been inserted.
Cumulative Hazard Transformation sample problem from the last class is posted.
- Course Outline
- Formula Sheet
- Formula Sheet for the SPECIAL DEFERRED Final Exam
PDF
LaTeX
- Computing Resources: Information and Links, including R download.
- Assignments
- Assignment One (STA256/260 review): Quiz on Friday Sept. 15th in tutorial
- Assignment Two (On Maximum Likelihood Part One): Quiz on Friday Sept. 22nd in tutorial
- Assignment Three (Maximum Likelihood Part Two): Quiz on Friday Sept. 29th in tutorial
- Assignment Four (Maximum likelihood with R, Survival and hazard functions, Weibull and Gumbel distributions): Quiz on Friday Oct. 6th in tutorial
- Assignment Five (Maximum likelihood with censoring): Quiz on Friday Oct. 20th in DH2060
- Assignment Six (Kaplan-Meier Estimation): Quiz on Friday Oct. 27th
- Assignment Seven (Weibull and Gumbel distributions, Normal regression): Quiz on Friday Nov. 3d
- Assignment Eight (Weibull Regression): Quiz on Friday Nov. 10th
- Assignment Nine (Log-normal regression and prediction intervals): Quiz on Friday Nov. 17th
- Assignment Ten (Proportional Hazards Regression): Quiz on Friday Nov. 24th
- Assignment Eleven (More proportional hazards regression, time-varying covariates): Quiz on Friday Dec. 1st
- Lectures
- Introduction: What the course is about
- Introduction to R
- Maximum Likelihood Part One
- Concepts
- Sample Questions
- Maximum Likelihood Part Two
- Concepts
- Sample Questions
- Maximum Likelihood with R (Also the answer to Sample Question 2)
- Survival and Hazard Functions
- Concepts
- Sample Questions
- Plots of the Gamma hazard function
- Censoring and Likelihood
- Concepts
- Sample Questions
- Censoring and Likelihood with R
- The Kaplan-Meier Estimate
- Concepts
- Calculating nj (number at risk)
- Kaplan-Meier with R
- The Weibull and Gumbel Distributions
- Regression Review
- Regression Review with R
- Weibull Regression
- Concepts
- Sample Questions
- Weibull Regression with R: Part One
- Weibull Regression with R: Part Two
- Log-normal Regression
- Concepts
- Sample Questions
- Log-normal Regression and Prediction Intervals with R
- Proportional Hazards Regression Part One
- Proportional Hazards Regression with R: Part One
- Proportional Hazards Regression Part Two
- Concepts
- Sample Questions
- Proportional Hazards Regression with R: Part Two
- Time Dependent Covariates
- Time Dependent Covariates with R
- Automatic Variable Selection
- Model Diagnostics
- Model Diagnostics with R
- Extensions of the Cox Proportional Hazards Model
-
Cumulative Hazard Transformation sample problem from the last class.
- Quizzes
- Quiz One (STA256/260 review): Not directly on the final
- Quiz Two (Maximum Likelihood Part One)
- Quiz Three (Maximum Likelihood Part Two)
- Quiz Four (Maximum likelihood with R, Survival and hazard functions, Weibull and Gumbel distributions)
- Quiz Five (Maximum likelihood with censoring)
- Quiz Six (Kaplan-Meier Estimation)
- Quiz Seven (Weibull and Gumbel distributions, Normal regression)
- Quiz Eight (Weibull Regression)
- Quiz Nine (Log-normal regression and prediction intervals)
- Quiz Ten (Proportional Hazards Regression)
- Quiz Eleven (More proportional hazards regression, time-varying covariates)
- Textbook and Readings
- Applied survival analysis using R by Dirk F. Moore: This is the main text in the course. It is a free download from the U of T library.
-
Introduction to R by Venables, Smith and
others. This free 100 page document is very helpful if you
plan to do serious work with R.
- Statistical models and methods for lifetime data by J. Lawless. This is a classic.
- Maximum likelihood handout: From the appendix of a textbook I'm writing. Ignore the part about maximum likelihood for the multivariate normal.
All course materials prepared by Jerry are licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License. Source code is posted on the course website. See the link at the top of this page for more information.