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Twin Cities Courses

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STATISTICS (STAT)
College of Liberal Arts
Statistics, School of-ADM
 
STAT 1001 - Introduction to the Ideas of Statistics (MATH)
(4.0 cr; Prereq-Mathematics requirement for admission to University; fall, spring, summer, every year)
Graphical/numerical presentations of data. Judging the usefulness/reliability of results/inferences from surveys and other studies to interesting populations. Coping with randomness/variation in an uncertain world.



STAT 1905 - Freshman Seminar
(3.0 cr [max 6.0 cr]; A-F or Aud, fall, offered periodically)
Topics specified in Class Schedule.



STAT 3011 - Introduction to Statistical Analysis (MATH)
(4.0 cr; =[STAT 5021, ANSC 3011, ESPM 3012]; fall, spring, summer, every year)
Standard statistical reasoning. Simple statistical methods. Social/physical sciences. Mathematical reasoning behind facts in daily news. Basic computing environment.



STAT 3021 - Introduction to Probability and Statistics
(3.0 cr; Prereq-Math 1272; fall, spring, summer, every year)
Elementary probability, probability distributions. Sampling, elements of statistical inference. Regression.



STAT 3022 - Data Analysis
(4.0 cr; Prereq-3011 or 3021 or SOC 3811; fall, spring, every year)
Practical survey of applied statistical inference/computing covering widely used statistical tools. Multiple regression, variance analysis, experiment design, nonparametric methods, model checking/selection, variable transformation, categorical data analysis, logistic regression.



STAT 4101 - Theory of Statistics I
(4.0 cr; =[STAT 5101]; Prereq-Math 1272; fall, every year)
Random variables/distributions. Generating functions. Standard distribution families. Data summaries. Sampling distributions. Likelihood/sufficiency.



STAT 4102 - Theory of Statistics II
(4.0 cr; =[STAT 5102]; Prereq-4101; spring, every year)
Estimation. Significance tests. Distribution free methods. Power. Application to regression and to analysis of variance/count data.



STAT 4893W - Senior Project (WI)
(3.0 cr; Prereq-Stat major (BA or BS), Sr, 5302; A-F only, fall, spring, every year)
Statistical data in business, public sector, academic settings. Student analysis of data. Write reports. Create informative/user-friendly visuals. Prepare summaries of statistical research, design research. Write academic paper.



STAT 4931 - Topics in Statistics
(3.0 cr)
Topics vary according to student needs and available staff.



STAT 4932 - Topics in Statistics
(3.0 cr; Prereq-#)
Topics vary according to student needs and available staff.



STAT 5021 - Statistical Analysis
(4.0 cr; =[STAT 3011, ANSC 3011, ESPM 3012]; Prereq-=: 3011; College algebra or #; Stat course recommended; fall, spring, every year)
Intensive introduction to statistical methods for graduate students needing statistics as a research technique.



STAT 5031 - Statistical Methods for Quality Improvement
(4.0 cr; Prereq-[3021 or 3022 or 4102 or 5021 or 5102 or 8102], Math 1272; spring, offered periodically)
Random variability/sampling. Controlling statistical process. Shewhart/accumulative charting. Analyzing plant data, trend surface, and variance/design of experiments.



STAT 5041 - Bayesian Decision Making
(3.0 cr; Prereq-4101 or 5021 or 5101 or #)
Axioms for subjective probability/utility. Optimal statistical decision making. Sequential decisions/decision trees. Backward induction. Bayesian data analysis.



STAT 5101 - Theory of Statistics I
(4.0 cr; =[STAT 4101]; Prereq-MATH 2263 or MATH 2374; fall, every year)
Logical development of probability, basic issues in statistics. Probability spaces. Random variables, their distributions and expected values. Law of large numbers, central limit theorem, generating functions, multivariate normal distribution.



STAT 5102 - Theory of Statistics II
(4.0 cr; =[STAT 4102]; Prereq-5101 or Math 5651; spring, every year)
Sampling, sufficiency, estimation, test of hypotheses, size/power. Categorical data. Contingency tables. Linear models. Decision theory.



STAT 5201 - Sampling Methodology in Finite Populations
(3.0 cr; Prereq-3022 or 4102 or 5021 or 5102 or #; spring, every year)
Simple random, systematic, stratified, unequal probability sampling. Ratio, model based estimation. Single stage, multistage, adaptive cluster sampling. Spatial sampling.



STAT 5302 - Applied Regression Analysis
(4.0 cr; Prereq-3022 or 4102 or 5021 or 5102 or #; fall, spring, summer, every year)
Simple, multiple, and polynomial regression. Estimation, testing, prediction. Use of graphics in regression. Stepwise and other numerical methods. Weighted least squares, nonlinear models, response surfaces. Experimental research/applications.



STAT 5303 - Designing Experiments
(4.0 cr; Prereq-3022 or 4102 or 5021 or 5102 or #; fall, spring, summer, every year)
Analysis of variance. Multiple comparisons. Variance-stabilizing transformations. Contrasts. Construction/analysis of complete/incomplete block designs. Fractional factorial designs. Confounding split plots. Response surface design.



STAT 5401 - Applied Multivariate Methods
(3.0 cr; Prereq-5302 or 8102 or #; fall, offered periodically)
Bivariate and multivariate distributions. Multivariate normal distributions. Analysis of multivariate linear models. Repeated measures, growth curve and profile analysis. Canonical correlation analysis. Principle components and factor analysis. Discrimination, classification, and clustering.



STAT 5421 - Analysis of Categorical Data
(3.0 cr; Prereq-5302 or #; fall, spring, every year)
Varieties of categorical data, cross-classifications, contingency tables. Tests for independence. Combining 2x2 tables. Multidimensional tables/loglinear models. Maximum-likelihood estimation. Tests for goodness of fit. Logistic regression. Generalized linear/multinomial-response models.



STAT 5511 - Time Series Analysis
(3.0 cr; Prereq-Theoretical understanding; fall, every year)
Characteristics of time series. Stationarity. Second-order descriptions, time-domain representation, ARIMA/GARCH models. Frequency domain representation. Univariate/multivariate time series analysis. Periodograms, non parametric spectral estimation. State-space models.



STAT 5601 - Nonparametric Methods
(3.0 cr; Prereq-3022 or 4102 or 5021 or 5102 or #; fall, spring, every year)
Order statistics. Classical rank-based procedures (e.g., Wilcoxon, Kruskal-Wallis). Goodness of fit. Topics may include smoothing, bootstrap, and generalized linear models.



STAT 5701 - Statistical Computing
(3.0 cr; Prereq-4102 or 5102 or 8102 or #; A-F or Aud, fall, every year)
Statistical programming, function writing, graphics using high-level statistical computing languages. Data management, parallel computing, version control, simulation studies, power calculations. Using optimization to fit statistical models. Monte Carlo methods, reproducible research.



STAT 5931 - Topics in Statistics
(3.0 cr; fall, offered periodically)
Topics vary according to student needs and available staff.



STAT 5932 - Topics in Statistics
(3.0 cr; fall, spring, offered periodically)
Topics vary according to students' needs and available staff.



STAT 5993 - Tutorial
(1.0 - 6.0 cr [max 12.0 cr]; Prereq-#; fall, spring, summer, every year)
Directed study in areas not covered by regular offerings.



STAT 8051 - Advanced Regression Techniques: linear, nonlinear and nonparametric methods
(3.0 cr; Prereq-Statistics grad or #; A-F or Aud, fall, every year)
Linear/generalized linear models, modern regression methods including nonparametric regression, generalized additive models, splines/basis function methods, regularization, bootstrap/other resampling-based inference.



STAT 8052 - Applied Statistical Methods 2: Design of Experiments and Mixed -Effects Modeling
(4.0 cr; Prereq-8051 or #; A-F or Aud, spring, every year)
Classical experimental designs, mixed effect models. How to recognize designs. How to design/analyze experiments. ANOVA for factorial designs, contrasts, multiple comparisons, complete/incomplete block designs, unbalanced data, confounding, fractional factorials, response surfaces, nested designs, split-plots, random effects, mixed effects, repeated measures, longitudinal data.



STAT 8053 - Applied Statistical Methods 3: Multivariate Analysis and Advanced Regression
(3.0 cr; Prereq-8052, 8102; A-F or Aud, fall, every year)
Standard multivariate analysis. Multivariate linear model, classification, clustering, principal components, factor analysis, canonical correlation. Topics in advanced regression.



STAT 8054 - Statistical Methods 4: Advanced Statistical Computing
(3.0 cr; Prereq-8053 or #; A-F or Aud, spring, every year)
Optimization, numerical integration, Markov chain Monte Carlo, related topics.



STAT 8055 - Applied Project
(2.0 cr; Prereq-[8054, 8801] or #; S-N only, fall, every year)
Collaborative applied statistical practice with a member of University community, including consulting, problem solving, presentation/documentation of results.



STAT 8101 - Theory of Statistics 1
(3.0 cr; Prereq-Statistics grad major or #; fall, every year)
Review of linear algebra. Introduction to probability theory. Random variables, their transformations/expectations. Standard distributions, including multivariate Normal distribution. Probability inequalities. Convergence concepts, including laws of large numbers, Central Limit Theorem. delta method. Sampling distributions.



STAT 8102 - Theory of Statistics 2
(3.0 cr; Prereq-8101, Statistics graduate major or #; spring, every year)
Statistical inference. Sufficiency. Likelihood-based methods. Point estimation. Confidence intervals. Neyman Pearson hypothesis testing theory. Introduction to theory of linear models.



STAT 8111 - Mathematical Statistics I
(3.0 cr; Prereq-[5102 or 8102 or #], [[Math 5615, Math 5616] or real analysis], matrix algebra; fall, every year)
Probability theory, basic inequalities, characteristic functions, and exchangeability. Multivariate normal distribution. Exponential family. Decision theory, admissibility, and Bayes rules.



STAT 8112 - Mathematical Statistics II
(3.0 cr; Prereq-8111; spring, every year)
Statistical inference, estimation, and hypothesis testing. Convergence and relationship between convergence modes. Asymptotics of maximum likelihood estimators, distribution functions, quantiles. Delta method.



STAT 8141 - Probability Assessment
(3.0 cr; Prereq-5102; spring, offered periodically)
Probability as a language of uncertainty for quantifying and communicating expert opinion and for use as Bayesian prior distributions. Methods for elicitation and construction of subjective probabilities. De Finetti coherence, predictive elicitation, fitting subjective-probability models, computer-aided elicitation, and use of experts.



STAT 8171 - Sequential Analysis
(3.0 cr; Prereq-8112)
Walds's sequential probability ratio test and modifications. Sequential decision theory. Martingales. Sequential estimation, design, and hypothesis testing. Recent developments.



STAT 8201 - Topics in Sampling
(3.0 cr; Prereq-8102 or #; S-N or Aud)
Sampling theory; stratified sampling, ratio estimators, cluster sampling, double sampling, superpopulation theory, Bayesian methods, multiple imputation, nonresponse.



STAT 8311 - Linear Models
(4.0 cr; Prereq-Linear algebra, 5102 or 8102 or #; fall, every year)
General linear model theory from a coordinate-free geometric approach. Distribution theory, ANOVA tables, testing, confidence statements, mixed models, covariance structures, variance components estimation.



STAT 8312 - Linear and Nonlinear Regression
(3.0 cr; Prereq-8311)
Nonlinear regression: asymptotic theory, Bates-Watts curvatures, super leverage, parameter plots, projected residuals, transform-both-sides methodology, Wald versus likelihood inference. Topics in linear and generalized linear models as they relate to nonlinearity issues, including diagnostics, semi-parametric models, and model assessment.



STAT 8313 - Topics in Experimental Design
(3.0 cr; Prereq-8311)
Optimal, Bayes, and nonlinear designs; algorithms for computing designs; sample size; recent developments.



STAT 8321 - Regression Graphics
(3.0 cr; Prereq-8311)
Foundations: dimension-reduction subspaces, Li-Duan Lemma, structural dimension. Inferring about central dimension-reduction subspaces by using 3D plots, graphical regression, inverse regression graphics, net-effect plots, principal Hessian directions, sliced inverse regression and predictor transformations. Graphics for model assessment.



STAT 8333 - FTE: Master's
(1.0 cr; Prereq-Master's student, adviser and DGS consent; No Grade, fall, spring, summer, every year)
(No description)



STAT 8401 - Topics in Multivariate Methods
(3.0 cr; Prereq-8311; fall, every year)
Bivariate and multivariate distributions. Multivariate normal distributions. Hotellings's T-squared, MANOVA, MANCOVA, and regression with multivariate dependent variable. Repeated measures, growth curve, and profile analysis. Canonical correlation analysis. Principle components and factor analysis. Discrimination, classification, clustering.



STAT 8411 - Multivariate Analysis
(3.0 cr; Prereq-8152; fall, spring, offered periodically)
Multivariate normal distribution. Inference on the mean, covariance, and correlation and regression coefficients; related sampling distributions such as Hotelling's T-squared and Wishart distributions. Multivariate analysis of variance. Principal components and canonical correlation. Discriminant analysis.



STAT 8421 - Theory of Categorical Data Analysis
(3.0 cr; Prereq-8062 or #)
Categorical data, multidimensional cross-classified arrays, mixed categorical and continuous data. Loglinear, logit, and multinomial response models. Ordinal responses. Current research topics.



STAT 8444 - FTE: Doctoral
(1.0 cr; Prereq-Doctoral student, adviser and DGS consent; No Grade, fall, spring, summer, every year)
(No description)



STAT 8501 - Introduction to Stochastic Processes with Applications
(3.0 cr; Prereq-5101 or 8101)
Markov chains in discrete and continuous time, renewal processes, Poisson process, Brownian motion, and other stochastic models encountered in applications.



STAT 8511 - Time Series Analysis
(3.0 cr; Prereq-5102 or 8111 or #)
Characteristics of time series. Stationarity. Second-order descriptions. Time-domain representation, ARIMA/GARCH models. Frequency domain representation, univariate/multivariate analysis. Periodograms, non-parametric spectral estimation, state space models.



STAT 8666 - Doct Pre-Thesis Cr
(1.0 - 6.0 cr [max 12.0 cr]; Prereq-Doctoral student who has not passed prelim oral; no required consent for 1st/2nd registrations, up to 12 combined cr; % for 3rd/4th registrations, up to 24 combined cr; doctoral student admitted before summer 2007 may register up to four times, up to 60 combined cr; No Grade, fall, spring, summer, every year)
TBD



STAT 8701 - Computational Statistical Methods
(3.0 cr; Prereq-8311, programming exper; spring, every year)
Random variate generation, variance reduction techniques. Robust location estimation and regression, smoothing additive models, regression trees. Programming projects; basic programming ability and familiarity with standard high-level language (preferably FORTRAN or C) are essential.



STAT 8711 - Statistical Computing
(3.0 cr; Prereq-8701 or #)
Basic numerical analysis for statisticians. Numerical methods for linear algebra, eigen-analysis, integration, and optimization and their statistical applications.



STAT 8721 - Programming Paradigms and Dynamic Graphics in Statistics
(3.0 cr; Prereq-8062, 8102)
Alternative programming paradigms to traditional procedural programming, including object-oriented programming and functional programming. Applications to development of dynamic statistical graphs and representation and use of functional data, such as mean function in nonlinear regression log likelihoods and prior densities in Bayesian analysis.



STAT 8777 - Thesis Credits: Master's
(1.0 - 18.0 cr [max 50.0 cr]; Prereq-Max 18 cr per semester or summer; 10 cr total required [Plan A only]; No Grade, fall, spring, every year)
(No description)



STAT 8801 - Statistical Consulting
(3.0 cr; Prereq-Grad stat major or #; S-N or Aud, spring, every year)
Principles of effective consulting/problem-solving, meeting skills, reporting. Aspects of professional practice/behavior, ethics, continuing education.



STAT 8811 - Statistical Consulting Practicum
(3.0 cr [max 12.0 cr]; Prereq-Statistics grad student or #; S-N or Aud, fall, spring, every year)
Providing (under faculty supervision) statistical support to clients, primarily University researchers. Exercises in problem solving, ethics, listening/communication skills.



STAT 8821 - Curricular Practical Training
(1.0 cr; Prereq-Statistics grad student, %; S-N only, fall, spring, summer, every year)
Industrial work assignment using advanced statistical techniques. Grade based on final report and presentation covering work assignment.



STAT 8888 - Thesis Credit: Doctoral
(1.0 - 24.0 cr [max 100.0 cr]; Prereq-Max 18 cr per semester or summer; 24 cr required; No Grade, fall, spring, every year)
(No description)



STAT 8900 - Student Seminar
(1.0 cr [max 2.0 cr]; Prereq-Statistics graduate student; S-N or Aud, fall, spring, every year)
Preparation or presentation of seminar on statistical topics.



STAT 8913 - Literature Seminar
(1.0 cr [max 4.0 cr]; Prereq-Statistics grad major or #; S-N only, fall, spring, every year)
Students will read, present, discuss, and critique current literature/research.



STAT 8931 - Advanced Topics in Statistics
(3.0 cr [max 12.0 cr]; fall, spring, offered periodically)
Topics vary according to student needs/available staff.



STAT 8932 - Advanced Topics in Statistics
(3.0 cr [max 12.0 cr]; fall, spring, offered periodically)
Topics vary according to student needs/available staff.



STAT 8933 - Advanced Topics in Statistics
(3.0 cr [max 12.0 cr]; fall, spring, every year)
Topics vary according to student needs and available staff.



STAT 8992 - Directed Readings and Research
(1.0 - 6.0 cr [max 12.0 cr]; Prereq-#; fall, spring, summer, every year)
Directed study in areas not covered by regular offerings.



 
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