Statistics (STAT)

5000 LEVEL COURSES

5302. Applied Statistics I (3). Prerequisite: Consent of instructor. Graphical presentation of data, histograms, confidence intervals for binomial probabilities, one-sample and two-sample t-test, regression and correlation with two variables, hypothesis testing and confidence intervals, multivariate regression and correlation, partial correlation coefficients, analysis of variance and covariance, multiple comparison procedures. Emphasis on analysis of research data. Not for mathematics, statistics, engineering, or physical science majors; these students should take STAT 5384, 5385.

5303. Applied Statistics II (3). Prerequisite: Consent of instructor. Graphical presentation of data, histograms, confidence intervals for binomial probabilities, one-sample and two-sample t-test, regression and correlation with two variables, hypothesis testing and confidence intervals, multivariate regression and correlation, partial correlation coefficients, analysis of variance and covariance, multiple comparison procedures. Emphasis on analysis of research data. Not for mathematics, statistics, engineering, or physical science majors; these students should take STAT 5384, 5385.

5326. Biostatistics (3). Prerequisite: Consent of instructor for non-majors. One- and two-sample testing and estimation; sample size and power calculation; nonparametric tests for one, two, and multiple samples; correlation; design and analysis of epidemiologic studies.

5328. Intermediate Mathematical Statistics I (3). Prerequisite: MATH 2450 or consent of instructor. Probability space, special families of distribution functions, expectations, conditional distributions, sampling distributions, point and interval estimation, hypothesis testing, distribution of functions of random variables, regression, nonparametric techniques.

5329. Intermediate Mathematical Statistics II (3). Prerequisite: MATH 2350 or consent of instructor. Probability space, special families of distribution functions, expectations, conditional distributions, sampling distributions, point and interval estimation, hypothesis testing, distribution of function

5370. Decision Theory (3). Prerequisite: MATH 4343 or STAT 5329 or consent of instructor. Game theory, statistical decision, Bayesian statistics.

5371. Regression Analysis (3). Prerequisite: STAT 5326 and 5329. Estimation and testing in linear regression, residual analysis, influence diagnostics, multicollinearity logistic regression, nonlinear regression.

5372. Nonparametric Statistical Inference (3). Prerequisite: MATH 4343 or STAT 5329 or consent of instructor. Statistical inference, rank order statistics, chi-square and slippage tests, Kolmogorov and Smirnov type tests, confidence intervals and bands, runs tests, applications.

5373. Design of Experiments (3). Prerequisite: MATH 4343 or STAT 5329 Principles of design and analysis of experiments, Latin squares, split plots, incomplete block designs, efficiency.

5374. Theory of Linear Statistical Models (3). Prerequisite: MATH 4343 or STAT 5329. Multivariate normal, convariance matrix and operations, distribution of quadratic forms, general linear hypothesis of full and non-full rank, specific linear models.

5375. Statistical Multivariate Analysis (3). Prerequisite: STAT 5329 or consent of instructor. Multivariate normal distribution, estimation of the mean vector and covariance matrix, distribution of sample correlation coefficients, the generalized T2 statistic, classification, distribution of the sample covariance matrix.

5376. Advanced Statistical Methods (3). Prerequisite: MATH 4343 or STAT 5329 or consent of instructor. Applied regression analysis, cluster analysis, factor analysis, modeling, special topics in designs, sensitivity analysis, non-linear estimation. May be repeated for credit.

5377. Statistical Sampling Theory (3). Prerequisite: MATH 4343 or STAT 5329. Theory of simple random sampling, stratified random sampling, cluster sampling, ratio estimates, regression estimates, other sampling methods.

5378. Stochastic Processes (3). Prerequisite: STAT 5329. Markov chains, Markov processes in discrete and continuous time, diffusion processes, Brownian motion and transformations of Brownian motion, non-Markovian processes.

5379. Time Series Analysis (3). Prerequisite: STAT 5329 or consent of instructor. Stationary and nonstationary time series, finite linear models, identification, filtering, and diagnostic checks of such models, spectral analysis of time series data, forecasting and control.

5380. Advanced Mathematical Statistics I (3). Prerequisite: STAT 5329. Theory of estimation and tests of statistical hypotheses, sequential analysis.

5381. Advanced Mathematical Statistics II (3). Prerequisite: STAT 5329, 5380. Theory of estimation and tests of statistical hypotheses, sequential analysis.

5384. Statistics for Engineers and Scientists I (3). Prerequisite: MATH 2450 or consent of instructor. Probability, descriptive statistics, distributions, estimation, hypothesis testing, nonparametric statistics, data analysis using the computers. Not for mathematics or statistics majors.

5385. Statistics for Engineers and Scientists II (3). Prerequisite: STAT 5384 or consent of instructor. Continuation of STAT 5384; simple and multiple regression analysis, analysis of variance, nonparametric statistics, categorical data analysis, quality control, reliability, data analysis using the computer. Not for mathematics or statistics majors.

5386. Statistical Computing and Simulation (3). Prerequisite: Consent of instructor. Methods of approximating functions and probabilities, computational methods in linear algebra, introduction to theory and applications of random number generation, testing generators.

6000 LEVEL COURSES

6000. Master's Thesis (V1-6).

6310. Master's Report (3).

7000 LEVEL COURSES

7000. Research (V1-12).