Biostatistics (BSTA)

BSTA 511 Biostatistics in Practice

Biostatistics in Practice offers Biostatistics students an opportunity to acquire and demonstrate proficiency in statistical collaboration, data analysis and scientific writing. The project is defined by several elements: A scientific question or hypothesis arising in medical research; the statistical methodology needed to address the question; the development of a study design and/or analysis of a relevant data set; and a summary of the results of these analyses. In most cases, a collaborating medical scientist provides the research question and the data. The student, under the supervision of a biostatistics faculty member, identifies the appropriate statistical methods and conducts the analysis. The analysis should be sufficiently extensive and detailed to support a manuscript publishable in the medical literature.

Taught by: Nandita Mitra

Course usually offered in fall term

Prerequisites: Open to Biostatistics student only.

Activity: Lecture

1.0 Course Unit

BSTA 550 Applied Regression and Analysis of Variance

An applied graduate level course in multiple regression and analysis of variance for students who have completed an undergraduate course in basic statistical methods. Emphasis is on practical methods of data analysis and their interpretation. Covers model building, general linear hypothesis, residual analysis, leverage and influence, one-way anova, two-way anova, factorial anova. Primarily for doctoral students in the managerial, behavioral, social and health sciences.

Taught by: Rosenbaum

Course usually offered in fall term

Also Offered As: PSYC 611, STAT 500

Prerequisite: STAT 102 AND STAT 112

Activity: Lecture

1.0 Course Unit

BSTA 620 Probability I

This course covers Elements of (non-measure theoretic) probability necessary for the further study of statistics and biostatistics. Topics include set theory, axioms of probability, counting arguments, conditional probability, random variables and distributions, expectations, generating functions, families of distributions, joint and marginal distributions, hierarchical models, covariance and correlation, random sampling, sampling properties of statistics, modes of convergence, and random number generation.

Course usually offered in fall term

Prerequisites: Two semesters of calculus (through multivariable calculus), linear algebra; permission from the instructor.

Activity: Lecture

1.0 Course Unit

BSTA 621 Statistical Inference I

This class will cover the fundamental concepts of statistical inference. Topics include sufficiency, consistency, finding and evaluating point estimators, finding and evaluating interval estimators, hypothesis testing, and asymptotic evaluations for point and interval estimation. Prerequisite: If course requirements not met, permission of instructor.

Course usually offered in spring term

Prerequisite: BSTA 620

Activity: Lecture

1.0 Course Unit

BSTA 622 Statistical Inference II

This This class will cover the fundamental concepts of statistical inference. Topics include sufficiency, consistency, finding and evaluating point estimators, finding and evaluating interval estimators, hypothesis testing, and asymptotic evaluations for point and interval estimation.

Course usually offered in fall term

Prerequisite: BSTA 621

Activity: Lecture

1.0 Course Unit

BSTA 630 Statistical Methods and Data Analysis I

This first course in statistical methods for data analysis is aimed at first-year Biostatistics students. It focuses on the analysis of continuous data. Topics include descriptive statistics (measures of central tendency and dispersion, shapes of distributions, graphical representations of distributions, transformations, and testing for goodness of fit); populations and sampling (hypotheses of differences and equivalence, statistical errors); one- and two-sample t tests; analysis of variance; correlation; nonparametric tests on means and correlations; estimation (confidence intervals and robust methods); categorical data analysis (proportions; statistics and test for comparing proportions; test for matched samples; study design); and regression modeling (simple linear regression, multiple regression, model fitting and testing, partial correlation, residuals, multicollinearity). Examples of medical and biologic data will be used throughout the course, and use of computer software demonstrated.

Course usually offered in fall term

Prerequisites: Multivariable calculus and linear algebra, BSTA 620 (may be taken concurrently) and permission of instructor.

Activity: Lecture

1.0 Course Unit

BSTA 632 Statistical Methods for Categorical and Survival Data

This is the second half of the methods sequence, where the focus shifts to methods for categorical and survival data. Topics in categorical include defining rates; incidence and prevalence; the chi-squared test; Fisher's exact test and its extension; relative risk and odds-ratio; sensitivity; specificity; predictive values; logistic regression with goodness of fit tests; ROC curves; the Mantel-Haenszel test; McNemar's test; the Poisson model; and the Kappa statistic. Survival analysis will include defining the survival curve, censoring, and the hazard function; the Kaplan-Meier estimate, Greenwood's formula and confidence bands; the log rank test; and Cox's proportional hazards regression model. Examples of medical and biologic data will be used throughout the course, and use of computer software demonstrated.

Course usually offered in spring term

Prerequisite: BSTA 620 AND BSTA 621 AND BSTA 630

Activity: Lecture

1.0 Course Unit

BSTA 651 Introduction to Linear Models and Generalized Linear Models

This course extends the content on linear models in BSTA 630 and BSTA 632 to more advanced concepts and applications of linear models. Topics include the matrix approach to linear models including regression and analysis of variance, general linear hypothesis, estimability, polynomial, piecewise, ridge, and weighted regression, regression and collinearity diagnostics, multiple comparisons, fitting strategies, simple experimental designs (block designs, split plot), random effects models, Best Linear Unbiased Prediction. In addition, generalized linear models will be introduced with emphasis on the binomial, logit and Poisson log-linear models. Applications of methods to example data sets will be emphasized.

Course usually offered in spring term

Prerequisites: Linear algebra, calculus, BSTA 620, 630. BSTA 621 and 632 (may be taken concurrently), permission of instructor.

Activity: Lecture

1.0 Course Unit

BSTA 656 Longitudinal Data Analysis

This course covers both the applied aspects and methods developments in longitudinal data analysis. In the first part, we review the properties of the multivariate normal distribution and cover basic methods in longitudinal data analysis, such as exploratory data analysis, two-stage analysis and mixed-effects models. Focus is on the linear mixed-effects models, where we cover restricted maximum likelihood estimation, estimation and inference for fixed and random effects and models for serial correlations. We will also cover Bayesian inference for linear mixed-effects models.The second part covers advanced topics, including nonlinear mixed-effects models, GEE, generalized linear mixed-effects models, nonparametric longitudinal models, functional mixed-effects models, and joint modeling of longitudinal data and the dropout mechanism. If course requirements are not met, permission of instructor required.

Taught by: Wensheng Guo

Prerequisite: BSTA 621 AND (BSTA 631 or BSTA 632) AND BSTA 651 AND (BSTA 653 OR BSTA 754)

Activity: Lecture

0.5 Course Units

BSTA 660 Design of Observational Studies

This course will cover statistical methods for the design and analysis of observational studies. Topics for the course will include epidemiologic study designs, issues of confounding and hidden bias, matching methods, propensity score methods, sensitivity analysis, and instrumental variables. Case studies in biomedical research will be presented as illustrations. Prerequisite: If course requirements not met, permission of instructor required.

Taught by: Rebecca Hubbard

Activity: Lecture

0.5 Course Units

BSTA 661 Design of Interventional Studies

This course is designed for graduate students in statistics or biostatistics interested in the statistical methodology underlying the design, conduct, and analysis of clinical trials and related interventional studies. General topics include designs for various types of clinical trials (Phase I, II, III), endpoints and control groups, sample size determination, and sequential methods and adaptive design. Regulatory and ethical issues will also be covered. Prerequisite: If course requirement not met, permission of instructor required.

Taught by: Alisa Stephens Shields

Activity: Lecture

0.5 Course Units

BSTA 670 Statistical Computing

This course concentrates on computational tools, which are useful for statistical research and for computationally intensive statistics. Through this course you will develop a knowledge base and skill set of a wide range of computational tools needed for statistical research. Topics include computer storage, architecture and arithmetic; random number generation; numerical optimization methods; spline smoothing and penalized likelihood; numerical integration; simulation design; Gibbs sampling; bootstrap methods; and the EM algorithm. Prerequisite: If course requirements not met, permission of instructor required.

Taught by: Kristin Linn

Prerequisite: BSTA 651 AND BSTA 620 AND BSTA 621

Activity: Lecture

1.0 Course Unit

BSTA 699 Lab Rotation

Activity: Laboratory

0.33 Course Units

BSTA 750 Statistical Methods for Risk Prediction and Precision Medicine

This is an advanced elective course for graduate students in Biostatistics, Statistics, Epidemiology, and other BGS disciplines. It will cover various topics for evaluating the performance of biomarkers to predict risk of clinical or disease outcomes, specifically including relative, absolute and competing risks for binary and time-to-disease outcomes; statistical inference for quantifying predictive accuracy with binary and time-to-event outcomes; statistical methods and inference for case-control study designs; Efficient study design issues for biomarker evaluation. This course is designed to help students 1) understand various concepts of risk in the medical literature; 2) understand various statistical methods for evaluating prediction performance of biomarkers and diagnostic tests and for designing efficient biomarker studies; 3) improve the ability to read critically papers published in statistical and medical journals on related topics; and 4) develop research ideas for risk prediction. Upon successfully completing this course, students will be able to: 1) Conduct statistical analysis for evaluating prediction performance of biomarkers and diagnostic tests; 2) Have a better ability to read and understand papers published in statistical and medical journals on related topics; and 3) Be well prepared to work on related topics for dissertation.

Taught by: Jinbo Chen

Course usually offered in fall term

Prerequisite: BSTA 630 AND BSTA 632

Activity: Lecture

0.5 Course Units

BSTA 754 Advanced Survival Analysis

This advanced survival analysis course will cover statistical theory in counting processes, large sample theory using martingales, and other state of the art theoretical concepts useful in modern survival analysis research. Examples in deriving rank-based tests and Cox regression models as well as their asymptotic properties will be demonstrated using these theoretical concepts. Additional potential topics may include competing risk, recurrent event analysis, multivariate failure time analysis, joint modeling of survival and longitudinal data, sample size calculations, multi-state models, and complex sampling schemes involving failure time data. In addition to satisfying course prerequisites, permission of instructor is required.

Taught by: Doug Schaubel

Course usually offered in fall term

Prerequisite: BSTA 622

Activity: Lecture

0.5 Course Units

BSTA 899 Pre-Dissertation Research

Activity: Lecture

0.5 Course Units

BSTA 920 Guided Dissertation Research

Activity: Lecture

1.0 Course Unit

BSTA 990 Guided Dissertation Research

Activity: Masters Thesis

1.0 Course Unit

BSTA 995 Dissertation

One-term course offered either term

Activity: Dissertation

1.0 Course Unit