Teaching
BIOST/STAT 576 Statistical Methods for Survival Data (3)
Course Description:
Statistical methods for censored survival data arising from follow-up studies on human or animal populations. Parametric and nonparametric methods, Kaplan-Meier survival curve estimator, comparison of survival curves, log-rank test, regression models including the Cox proportional hazards model, competing risks.
Course Schedule/Prerequisite:
Instruction hour/venue: 9:00am - 10:20am, ThTu, March 31 - June 5, 2009; HSB I-132
Office hour/venue: 2:30pm -3:30pm, Fr, HSB F-646
Prerequisite: STAT 581 and either BIOST 515, STAT 473, or equivalent
Offered: jointly with STAT 576
Course Calendar:
Course Materials
Syllabus
Lecture notes
March 31, Lecture notes 1 , Kaplan & Meier (1958, JASA )
April 2, Lecture notes 2 , Handouts: Stieltjes Integral , Parametric Distributions
April 7, Lecture notes 3 , Handouts: Example of Kaplan-Meier Estiamtes
April 9, Lecture notes 4 , Handouts: Brownian Motion
April 14, Lecture notes 5
April 16, Lecture notes 6 , Review: Indepdent/Informative Censoring ; Handouts: Chi-Square
April 21, Lecture notes 7
April 23, Lecture notes 8 , Cox (1972, JRSS B )
April 28, Lecture notes 9
April 30, Lecture notes 10
May 7, Lecture notes 11
May 12, Lecture notes 12
May 14, Lecture notes 13 , Presentation: Proportional Odds Model
May 19, Lecture notes 14
May 21, Lecture notes 15
May 26, Lecture notes 16
Text Books:
Fleming and Harrington (1991), Counting Processes and Survival Analysis , Wiley.
Kalbfleisch and Prentice (2002), The Statistical Analysis of Failure Time Data, 2nd Ed. , Wiley.
Additional Books:
Andersen, Borgan, Gill and Keiding (1993), Statistical Models Based on Counting Processes , Springer.
Bickel, Klaassen, Ritov and Wellner (1993), Efficient and Adaptive Estimation for Semiparametric Models , JHU/Springer.
Cox and Oakes (1984), Analysis of Survival Data , Chapman and Hall.
Hougaard (2000), Analysis of Multivariate Survival Data , Springer.
Miller (1981), Survival Analysis , Wiley.
Shorack and Wellner (1986), Empirical Processes with Applications to Statistics , Wiley.
Therneau and Grambsch (2000), Modeling Survival Data: Extending the Cox Model , Springer.
Tsiatis (2006), Semiparametric Theory and Missing Data , Springer.
van der Vaart and Wellner (1996). Weak Convergence and Empirical Processes, with Applications to Statistics , Springer.
Additional Papers
Breslow & Crowley, (1974), A large sample study of the life table and product limit estimates under random censorship , Ann. Stat. ,
Efron (1990), Fisher information in terms of the hazard rate , Ann. Stat.
Gill (1983), Large sample behaviour of the product-limit estimator on the whole line , Ann. Stat.
Lin & Ying (1994), Semiparametric analysis for the additive risk model , Biometrika
Lin & Ying (1995), Semiparametric inference for the accelerated life model with time-dependent covariates , J. Statist. Plan. Inf.
Meier, P. (2004), The price of Kaplan-Meier , JASA
Miller (1983), What price Kaplan-Meier? , Biometrics
Oakes (2001), Biometrika Centenary: Survival Analysis, Biometrika
Reid (1981), Influence functions for censored data , Ann. Stat.
Susarla & Van Ryzin (1980), Large sample theory for an estimator of the mean survival time from censored samples , Ann. Stat.
Wellner (1982), Asymptotic optimality of the product-limit estimator , Ann. Stat.
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Last modified: Apr, 2009