Academics
The Graduate School > Academics > School Degree Programs > Weinberg College of Arts and Sciences > Statistics > Curriculum
Curriculum

STAT 302 Elementary Statistical Methods (1) Tabular and graphical presentation of data, statistical distributions, hypothesis tests, confidence intervals, comparisons of means and proportions, regression and correlation, and use of computers in statistical analysis.

STAT 320-1,2 Statistical Methods (1) (1) Introduction to classical statistical theory and its relation to statistical methods. Topics covered include random sampling, sampling statistics, parameter estimation, confidence intervals, hypothesis tests, regression, analysis of categorical data, analysis of variance, and decision theory. Prerequisites: MATH 330-1 or IEMS 302 or equivalent.

STAT 325 Survey Sampling (1) Probability sampling, simple random sampling, error estimation, determination of sample size, stratification, systematic sampling, replication and pseudoreplication methods, ratio and regression estimation, cluster sampling, multiphase sampling, and nonsampling errors.

STAT 330-1,2 Applied Statistics for Research I, II (1) (1) First Quarter: Design of experiments and surveys, numerical summaries of data, graphical summaries of data, correlation and regression, probability, sample mean, sample proportion, confidence intervals and tests of significance, one and two sample problems, ANOVA. Second Quarter: Simple linear regression, inference, diagnostics, multiple regression diagnostics, autocorrelation, 1-way ANOVA, power and sample size determination, 2-way ANOVA, ANCOVA, randomized block designs.

STAT 338 History of Statistics (1) Historical survey of the development of modern statistics, from Bernoulli's law of large numbers to the contributions of R. A. Fisher. Prerequisite: permission of instructor.

STAT 344 Statistical Computing (1) Exploration of theoretical and practical problems in the development and use of statistical computing systems for numerical and graphical analysis of data. Prerequisite: permission of instructor.

STAT 345 Statistical Demography (1) Self-contained introduction to statistical theory of demographic rates (births, deaths, migration) in multi-state setting; statistical models underlying formal demography; analysis of error in demographic forecasting. Prerequisite: permission of instructor.

STAT 350 Regression Analysis (1) Simple linear regression and correlation, multiple regression, residual analysis, stepwise regression and other methods of selecting subsets of variables, multicollinearity and shrinkage estimation, and nonlinear regression.

STAT 351 Design and Analysis of Experiments (1) Methods of designing experiments and analyzing data obtained from them: one-way and two-way layouts, incomplete block designs, Latin squares, Youden squares, factorial and fractional factorial designs, random-effects and mixed-effects models, and split-plot and nested designs.

STAT 352 Nonparametric Statistical Methods (1) Survey of nonparametric methods with emphasis on understanding their application. Topics include sign test, Wilcoxon signed-rank test, Mann-Whitney test, Kolmogorov-Smirnov test, Friedman test, Kruskal-Wallis test, nonparametric confidence intervals, nonparametric regression, and rank correlation.

STAT 355 Analysis of Qualitative Data (1) An introduction to the analysis of qualitative data. Measures of association, long-linear models, and logits and probits.

STAT 359 Topics in Statistics (1) Topics in theoretical and applied statistics to be chosen by the instructor.

STAT 401 Intermediate Statistics (1) Linear model theory with application to multiple regression and analysis of variance. Statistical inference methods including likelihood estimation and testing, resampling, and Bayesian approach. Prerequisite: previous course in probability and statistics.

STAT 420-1,2,3 Advanced Statistics: Introduction to Statistical Theory and Methodology (1) (1) (1) First Quarter: Distribution theory, characteristic functions, moments and cumulants, random variables, sampling theory, and common statistical distributions. Second Quarter: Methods of estimation, hypothesis tests, confidence intervals, least squares, likelihood methods, and large-sample methods. Third Quarter: Theories of inference, multivariate methods, and contingency tables.

STAT 439 Meta-analysis (1) Statistical methods for combining results of replicated experiments. Effect size indexes and their estimators, combined estimation and test of heterogeneity, modeling between-study variation in effect sizes, models for publication selection. Prerequisite: a graduate-level course in statistics.

STAT 448 Multivariate Statistical Methods (1) Multivariate normal distribution, Hotelling's T2-test, multivariate analysis of variance, discriminant analysis, canonical correlation, principal components, and factor analysis. Use of computer packages.

STAT 453 Survival Analysis (1) Life-table construction, Kaplan-Meier estimation, exponential survival distributions, Weibull distributions, and Cox regression models.

STAT 454 Time-Series Analysis (1) Harmonic analysis, power spectra, filtering, cross-spectra, linear processes, and forecasting.

STAT 455 Advanced Analysis of Qualitative Data (1) Probit, logit, log-linear, and latent-class models. Multi-dimensional contingency tables; polytomous responses with continuous independent variables.

STAT 456 Generalized Linear Models (1) Inference and fitting of generalized linear models with application to classical linear models, binomial and multinomial logit models, log-linear models, Cox's proportional hazards model and GEE's for longitudinal data. Prerequisites: STAT 350 and STAT 420-3

STAT 457 Applied Bayesian Inference (1) Introduction to computational algorithms for Bayesian inference. Observed data and data augmentation methods are considered in detail. Methods are illustrated with real examples. Prerequisites: STAT 350 and STAT 420-1 or equivalent.

STAT 465 Statistical Methods for Bioinformatics and Computational Biology (1) An introduction of statistical methodologies in cutting-edge fields of computational biology and bioinformatics topics including microarray gene expression data analysis; biological sequence analysis; EST and SAGE data analysis.

STAT 466 Likelihood Methods (1) Recent results in the theory of likelihood-based inference. Topics covered will include higher-order asymptotic theory, based both on Edgeworth expansions and saddlepoint methods, conditional and marginal likelihood functions, the modified profile likelihood function and adjustments to the signed likelihood ratio statistic. Prerequisite: STAT 420-2.

STAT 498 Advanced Practicum (1) Supervised statistical consultation.

STAT 499 Independent Study (1, 2, or 3) Permission of instructor and department required.

STAT 590 Research (1, 2, or 3) Independent investigation of selected problems pertaining to thesis or dissertation.

Related Course in the Department of Economics
ECON 481-1,2,3 Econometrics (1) (1) (1)

Related Courses in the Department of Industrial Engineering and Management Sciences
IEMS 305 Statistical Methods for Quality Improvement (1)
IEMS 315 Stochastic Models and Simulation (1)
IEMS 460-1,2 Stochastic Models (1) (1)
IEMS 461 Advanced Stochastic Models (1)

Related Course in the Program in Managerial Economics and Strategy
MGR ES 462 Decision Theory (1)

Related Course in the Department of Mathematics
MATH 450-1,2 Probability (1) (1)

Last updated: Aug 27 2007 12:08PM