Graduate Catalog Statistics (STAT) Courses
505. Foundations of Probability and Statistics . S.3 HR. PR: MATH 156 or consent. Probability random variables, discrete and continuous probability distributions, point and interval estimation, chi-square tests, linear regression, and correlation.
511. Statistical Methods 1 I, II. S. 3 HR. PR: MATH 126. Statistical models, distributions, probability, random variables, tests of hypotheses, confidence intervals, regression, correlation, transformations, F and Chi-square distributions, analysis of variance and multiple comparisons. (Equiv. to ED. P. 613 and PSYC 511)
512. Statistical Methods 2 I, II, S. 3 HR PR: STAT 511 or equiv. Completely random, randomized complete block, Latin square and split-plot experimental designs. Unplanned and planned multiple and orthogonal comparisons for qualitative and quantitative treatments and factorial arrangements. Multiple linear regression and covariance analysis (Equivalent to EDP 614 and PSYC 512)
513. Design of Experiments II. 3 HR. PR: STAT 512. Expected mean squares, power of tests and relative efficiency for various experimental designs. Fixed, random, and mixed models. Use of sub-sampling, covariance and confounding to increase power and efficiency.
516. Forensic Statistics I. 3 Hr. PR: STAT 215 or equiv. Probabilistic and statistical evaluation of evidence in forensic science: concepts of uncertainty/variation, discriminating power, coincidence/significance probabilities, historical overview, transfer evidence, DNA profiling, fingerprint identification, biometric identification, and case studies.
521. Advanced SAS Programming I. 3 hr. PR: Stat511 or equivalent; any computer programming language. Advanced topics in Statistical Analysis System (SAS). Students will perform statistical data analyses, data modifications, file operations, statistical report writing.
523. Statistical Computing II. (Alternate years) 3 Hr. PR: STAT 512. Monte Carlo methods; randomization, partitioning, and the bootstrap; identifying data structures; estimating functions, including density functions; statistical models of dependencies. R programming.
525. Statistical Graphics II. (Alternate years) 3 Hr. PR: STAT 512. Introduction to R graphics; traditional graphs; the grid graphics model; lattice graphics; developing new graphics functions and objects in R. Visualizing large datasets.
540. Introduction to Exploratory Data Analysis. I. (Alternate years) 3 HR. PR: An introductory statistics course. Basic ways in which observations given in counted and measured form are approached. Pictorial and arithmetic techniques of display and discovery. Methods employed are robust, graphical, and informal. Applications to social and natural sciences.
541. Applied Multivariate Analysis II. (Alternate years) 3 HR. PR: STAT 511 or equiv. Introduction to Euclidean geometry and matrix algebra; multiple and multivariate regression including multiple and canonical correlation; the k-sample problem including discriminant and canonical analysis; and structuring data by factor analysis, and multidimensional scaling.
543. Microarrray Data Analysis II. 3 Hr. PR: STAT 512. Statistical analyses of genomic experiments using data visualization, clustering, multiple testing, and ensemble classification methods. Data preprocessing, including background adjustment, normalization, etc. Case studies.
545. Applied Regression Analysis . I. 3 HR. PR: 512 or equiv. Matrix approach to linear and multiple regression, selecting the "best" regression equation, model building, and the linear models approach to analysis of variance and analysis of covariance.
547 Survival Analysis I. 3 Hr. PR: STAT 512. Survival model methodology, including model selection for incomplete data with censored, truncated, and interval censored observations. Applications to many real life problems using R.
551. Nonparametric Statistics II. (Alternate years) 3 HR. PR: STAT 511 or equiv. Distribution-free procedures of statistical inference. Location and scale tests for homogeneity with two or more sample (related or independent); tests against general alternatives.
555. Categorical Data Analysis II. (Alternate years) 3 HR. PR: STAT 215 or equiv. Bivariate
association for ordinal and nominal variable, models for categorical or continuous responses as a special case of generalized linear models, methods for repeated measurement data, exact small-sample procedures.
561. Theory of Statistics 1. I. 3 HR. PR: MATH 251. Probability and random variables, univariate and multivariate distributions, expectations, generating functions, marginal and conditional distributions, independence, correlation, functions of random variables including order statistics, limiting distributions, and stochastic convergence.
562. Theory of Statistics 2 . II. 3 HR. PR: STAT 561. Techniques of point and interval estimation, properties of estimates including bias, consistency, efficiency, and sufficiency; hypothesis testing including likelihood ration tests and Neyman-Pearson Lemma; Bayesian procedures, analysis of variance and nonparametrics.
590. Teaching Practicum. I, II 1-3 HR. PR: consent. Supervised practice in college teaching of statistics.
591. Advanced Studies in Statistics . I, II, S. 1-6 HR. PR: Consent. Investigation in advanced statistics subjects which are not covered in regularly scheduled courses. Study may be independent or through specially scheduled lectures.
631. Sampling Theory and Methods . I. 3 HR. PR: STAT 511 or equiv. Survey components, methods of sampling for finite and infinite populations, single and multi-stage procedures, confidence limits for estimating population parameters; sample size determination, area sampling, sources of survey error, a "hand-on" project in survey sampling is included.
641. Multivariate Statistical Theory II (Alternate years) 3 HR. PR: STAT 541, 561 or consent. Euclidean vector space theory and matrix algebra, multivariate normal sampling theory, the theory of the multivariate general linear hypothesis including multivariate regression, MANOVA, and MANCOVA, and the theory of factor analysis.
645. Linear Models II (Alternate years) 3 HR. PR: STAT 545, 562 or consent. Multivariate normal distribution, distribution of quadratic forms, linear models, general linear hypotheses, experimental design models, components of variance for random effects models.
682. Analysis of Experiments . I, II, S. 1 HR. PR: consent. Statistical consulting and data analysis.
696. Graduate Seminar. I, II, 1 HR. PR: consent. Each graduate student will present at least one seminar to the assembled faculty and student body in statistics.
697. Research in Statistics I, II, S. 1-15 HR PR: Consent.
745. Data Mining I. 3 Hr. PR: STAT 545 or equiv. Development of predictive models for large datasets, including logistic and linear models, regression and classification trees, and neural networks. Data preparation, including imputation and filtering.
763. Stochastic Processes II. 3 Hr. PR: STAT 561. Modeling of random phenomenon, occurring over time, space, or time and space simultaneously. Modern techniques, such as the martingale decomposition, are applied to different statistical models.
765. Stat Methods-Bioinformatics II. 3 Hr. PR: STAT 561. Constructions of probabilistic models describing biological DNA and protein sequence data. Investigation of asymptotic properties of various test statistics.