*Biostatistics 231. Statistical Inference I
Catalog Number: 8773
Yi Li (Public Health)
Half course (spring term). M., W., 10:30-12:20, and a 90-minute lab each week.
Exponential families, sufficiency, ancillarity, completeness, method of moments, maximum likelihood, unbiased estimation, Rao-Blackwell and Lehmann-Scheffe theorems, information inequality, Neyman-Pearson theory, likelihood ratio, score and Wald tests, uniformly and locally most powerful tests, asymptotic relative efficiency.
Note: Offered jointly with the School of Public Health as BIO231.
Prerequisite: Biostatistics 230 or signature of instructor required.
*Biostatistics 232. Methods I
Catalog Number: 0131
Donna S. Neuberg (Public Health)
Half course (fall term). M., W., 10:30–12:20.
Introductory course in the analysis of Gaussian and categorical data. The general linear regression model, ANOVA, robust alternatives based on permutations, model building, resampling methods (bootstrap and jackknife), contingency tables, exact methods, logistic regression.
Note: Offered jointly with the School of Public Health as BIO232.
Prerequisite: Signature of instructor required.
*Biostatistics 233. Methods II
Catalog Number: 7804
Brent Andrew Coull (Public Health)
Half course (spring term). M., W., 8:30-10:20, and a 90-minute lab each week.
Intermediate course in the analysis of Gaussian, categorical, and survival data. The generalized linear model, Poisson regression, random effects and mixed models, comparing survival distributions, proportional hazards regression, splines and smoothing, the generalized additive model.
Note: Offered jointly with the School of Public Health as BIO233.
Prerequisite: Biostatistics 232 or signature of instructor required.
*Biostatistics 235. Regression and Analysis of Variance
Catalog Number: 7549
Tianxi Cai (Public Health)
Half course (fall term). M., W., 10:30–12:20.
An advanced course in linear models - regression and analysis of variance. Estimation (maximum likelihood and least squares) and inference (confidence intervals, hypothesis testing, analysis of residuals) are presented from a theoretical and data analysis perspective.
Note: Offered jointly with the School of Public Health as BIO235.
Prerequisite: Biostatistics 230 and Biostatistics 232. Background in matrix algebra and linear regression required.
Biostatistics 237. Modern Statistical Computing Environments
Catalog Number: 7940 Enrollment: Enrollment in a biostatistics or related degree program required.
Cheng Li (Public Health)
Half course (fall term). Tu., Th., 3:30–5:20.
Statistical computing environments under windows and Linux systems. Taught in a computing lab, the course consists of lectures, demonstrations and hands-on exercises. Example topics include R, SAS, LaTeX, Python, and online resources.
Note: Offered jointly with the School of Public Health as BIO237.
Biostatistics 238. Principles and Advanced Topics in Clinical Trials
Catalog Number: 9623
Stephen W. Lagakos (Public Health)
Half course (spring term). M., W., 1:30-3:20, and a 90-minute lab each week.
This course focuses on selected advanced topics in design, analysis, and interpretation of clinical trials, including study design; choice of endpoints (including surrogate endpoints); interim analyses and group sequential methods; subgroup analyses; and meta-analyses.
Prerequisite: BIST 230, and BIST 231 (may be taken concurrently) or signature of instructor required.
Biostatistics 244. Analysis of Failure Time Data
Catalog Number: 2140
Judith Lok
Half course (spring term). M., W., 10:30–12:20.
Discusses the theoretical basis of concepts and methodologies associated with survival data and censoring, nonparametric tests, and competing risk models. Much of the theory is developed using counting processes and martingale methods.
Note: Offered jointly with the School of Public Health as BIO244.
Prerequisite: Biostatistics 231 and Biostatistics 233.
Biostatistics 245. Analysis of Multivariate and Longitudinal Data
Catalog Number: 3247
David Wypij (Public Health)
Half course (spring term). Tu., Th., 10:30–12:20.
The multivariate normal distribution, Hotelling’s T2, MANOVA, repeated measures, the multivariate linear model, random effects and growth curve models, generalized estimating equations, multivariate categorical outcomes, missing data, computational issues for traditional and new methodologies.
Note: Offered jointly with the School of Public Health as BIO245.
Prerequisite: Biostatistics 231 and Biostatistics 235.
[*Biostatistics 247. Design of Scientific Investigations]
Catalog Number: 3723
Instructor to be determined
Half course (spring term). Tu., Th., 3:30–5:20.
Sample size considerations, basic principles of experimental design (randomization, replication, and balance), block designs, factorial experiments, response surface modeling, optimal design, clinical trials, adaptive, and sequential designs.
Note: Expected to be given in 2010–11. Offered jointly with the School of Public Health as BIO247. Offered in alternate years. Minimum enrollment of 10 students required.
Prerequisite: Biostatistics 235.
[*Biostatistics 248. Advanced Statistical Computing]
Catalog Number: 6420
Instructor to be determined
Half course (fall term). Tu., Th., 10:30–12:20.
Computer arithmetic, matrix algebra, numerical optimization with application to MLEs and GEEs, spline smoothing, numerical integration, random number generation, simulation methods, Gibbs sampling, bootstrap methods, missing data and EM, imputation, and data augmentation algorithms.
Note: Expected to be given in 2010–11. Offered jointly with the School of Public Health as BIO248.
Prerequisite: Students should be proficient with C or Fortran programming. Biostatistics 235 or signature of instructor required.
[*Biostatistics 249. Bayesian Methodology in Biostatistics]
Catalog Number: 0759
Christopher J. Paciorek (Public Health)
Half course (spring term). M., W., 8:30–10:20.
General principles of the Bayesian approach, prior distributions, hierarchical models and modeling techniques, approximate inference, Markov chain Monte Carlo methods, model assessment and comparison. Bayesian approaches to GLMMs, multiple testing, nonparametrics, clinical trials, survival analysis.
Note: Expected to be given in 2010–11. Offered jointly with the School of Public Health as BIO249. Offered in alternate years.
Prerequisite: Biostatistics 231 and Biostatistics 232, or signature of instructor required.
*Biostatistics 250. Probability Theory and Applications II
Catalog Number: 5076
Robert James Gray (Public Health)
Half course (fall term). M., W., 1:30–3:20.
Basic set theory, measure theory, Riemann-Stieltjes and Lebesgue integration, conditional probability, conditional expectation (projection), martingales, Radon-Nikodym derivative, product measure and Fubini’s Theorem, limit theorems on sequences of random variables, stochastic processes, weak convergence.
Note: Offered jointly with the School of Public Health as BIO250.
Prerequisite: Biostatistics 230 and Biostatistics 232, or signature of instructor required.
Biostatistics 251. Statistical Inference II
Catalog Number: 5280
Andrea Gloria Rotnitzky (Public Health)
Half course (spring term). Tu., Th., 1:30–3:20.
Advanced topics in statistical inference. Limit theorems, multivariate delta method, properties of maximum likelihood estimators, saddle point approximations, asymptotic relative efficiency, robust and rank-based procedures, resampling methods, nonparametric curve estimation.
Note: Offered jointly with the School of Public Health as BIO251.
Prerequisite: Biostatistics 231.
[Biostatistics 257. Advanced Statistical Genetics]
Catalog Number: 8359
Instructor to be determined
Half course (spring term). Hours to be arranged.
This survey course, intended for a wide audience, will provide an introduction to analytic techniques for modern genomics and genetics. Topics include genome sequencing, DNA microarrays, proteomics, genetic epidemiology and gene mapping for complex disease.
Note: Expected to be given in 2010–11.
Prerequisite: BIO 231 and BIO 233, or permission of instructor required.
[Biostatistics 274. Stochastic Models in Public Health]
Catalog Number: 7836
Instructor to be determined
Half course (spring term). Hours to be arranged.
The aim of this course is to develop those aspects of stochastic processes that are relevant for modeling important problems in public health. Topics include Markov processes, epidemic models, and inference associated with these models.
Note: Expected to be given in 2010–11. Offered jointly with the School of Public Health as BIO274.
Prerequisite: BIST 230 and BIST 231 required.
Biostatistics 277. Computational Biology
Catalog Number: 1337
Guocheng Yuan (Public Health)
Half course (fall term). M., W., 3:30–5:20.
Introduction to statistical methods for biological problems including microarray analysis, motif finding, CHIP-chip data, and gene regulatory network. Topics include multiple hypothesis testing, clustering and classification, variable selection, hidden Markov models, and Bayesian networks.
Note: Cannot be taken Pass/Fail. Offered jointly with the School of Public Health as BIO277.
Prerequisite: BIO 230 and BIO 231, or permission of instructor required.
[Biostatistics 283. Spatial Statistics for Social Inquiry and Health Research]
Catalog Number: 4101
Instructor to be determined
Half course (spring term). Hours to be arranged.
Introduction to spatial statistics with application to social science and public health research. Emphasizes methods for the analysis and visualization of three basic types of spatial data: area data, point (geostatistical) data, and point processes.
Note: Expected to be given in 2010–11. Heavy emphasis on real applied problems through case studies, guest lectures, and student projects. Basic GIS skills will be covered in a short module. Required lab or section time will be announced at first meeting. May not be taken for credit if Statistics 155 has already been taken. May not be taken concurrently with Statistics 155. Offered jointly with the School of Public Health as BIO 283.
Prerequisite: Biostatistics 210, or 211, or 213, and Biostatistics 503, or permission of instructor.
[Biostatistics 290. Genomics & Genetics for Health Research]
Catalog Number: 9941
Instructor to be determined
Half course (spring term). Hours to be arranged.
Survey course intended for a wide audience and will provide an introduction to genomics and genetics-inspired techniques and tools for their analysis, including genome sequencing, DNA microarrays, proteomics, and high density genetic screens.
Note: Expected to be given in 2010–11.
Prerequisite: BIO 200, or BIO 201, or BIO 202 and BIO 203, or BIO 206 and one of BIO 207, BIO 208, or BIO 209, and EPI 200 or EPI 201, or signature of instructor required.
Biostatistics 291. Statistical Methods for Causality
Catalog Number: 5654
Andrea Gloria Rotnitzky (Public Health)
Half course (spring term). Tu., Th., 3:30–5:20.
Theory of directed acyclic graph models. Identifiability of causal contrasts. Theory and applications of locally semiparametric efficient doubly-robust estimation in two models for counterfactual variables: marginal structural models and structural nested models.
Prerequisite: BIO 231, or permission of instructor required.