Courses - Fall 2016
STAT
Statistics and Probability
STAT100
Elementary Statistics and Probability
Credits: 3
CORE: MS
GenEd: ,
Prerequisite: MATH110, MATH112, MATH113, or MATH115; or permission of CMNS-Mathematics department; or must have math eligibility of STAT100 or higher and math eligibility is based on the Math Placement Exam or the successful completion of Math 003 with appropriate eligibility.
Restriction: Must not have completed MATH111; or must not have completed any MATH or STAT course with a prerequisite of MATH141.
Credit only granted for: STAT100, MATH107 or MATH111.
Simplest tests of statistical hypotheses; applications to before-and-after and matched pair studies. Events, probability, combinations, independence. Binomial probabilities, confidence limits. Random variables, expected values, median, variance. Tests based on ranks. Law of large numbers, normal approximation. Estimates of mean and variance.
STAT386
Experiential Learning
Credits: 3 - 6
Prerequisite: Must have learning proposal approved by the CMNS-Mathematics Department.
STAT400
Applied Probability and Statistics I
Credits: 3
Prerequisite: 1 course with a minimum grade of C- from (MATH131, MATH141); or students who have taken courses with comparable content may contact the department.
Credit only granted for: BMGT231, ENEE324, or STAT400.
Random variables, standard distributions, moments, law of large numbers and central limit theorem. Sampling methods, estimation of parameters, testing of hypotheses.
STAT401
Applied Probability and Statistics II
Credits: 3
Prerequisite: 1 course with a minimum grade of C- from (STAT400, STAT410).
Point estimation - unbiased and consistent estimators. Interval estimation. Minimum variance and maximum likelihood estimators. Testing of hypotheses. Regression, correlation and analysis of variance. Sampling distributions. Elements of non-parametric methods.
STAT410
Introduction to Probability Theory
Credits: 3
Prerequisite: 1 course with a minimum grade of C- from (MATH240, MATH461, MATH341); and 1 course with a minimum grade of C- from (MATH340, MATH241).
Also offered as: SURV410.
Credit only granted for: STAT410 or SURV410.
Probability and its properties. Random variables and distribution functions in one and several dimensions. Moments. Characteristic functions. Limit theorems.
STAT420
Introduction to Statistics
Credits: 3
Prerequisite: 1 course with a minimum grade of C- from (SURV410, STAT410).
Also offered as: SURV420.
Credit only granted for: STAT420 or SURV420.
Point estimation, sufficiency, completeness, Cramer-Rao inequality, maximum likelihood. Confidence intervals for parameters of normal distribution. Hypothesis testing, most powerful tests, likelihood ratio tests. Chi-square tests, analysis of variance, regression, correlation. Nonparametric methods.
STAT430
Introduction to Statistical Computing with SAS
Credits: 3
Prerequisite: 1 course with a minimum grade of C- from (STAT400, STAT410).
Descriptive and inferential statistics. SAS software: numerical and graphical data summaries; merging, sorting and splitting data sets. Least squares, regression, graphics and informal diagnostics, interpreting results. Categorical data, lifetime data, time series. Applications to engineering, life science, business and social science.
STAT440
Sampling Theory
Credits: 3
Prerequisite: 1 course with a minimum grade of C- from (STAT401, STAT420).
Credit only granted for: STAT440 or SURV440.
Simple random sampling. Sampling for proportions. Estimation of sample size. Sampling with varying probabilities. Sampling: stratified, systematic, cluster, double, sequential, incomplete.
STAT464
Introduction to Biostatistics
Credits: 3
Prerequisite: Must have completed one semester of calculus.
Restriction: Junior standing or higher.
Credit only granted for: BIOE372 or STAT464.
Additional information: Not acceptable toward degrees in MATH/STAT.
Probabilistic models. Sampling. Some applications of probability in genetics. Experimental designs. Estimation of effects of treatments. Comparative experiments. Fisher-Irwin test. Wilcoxon tests for paired comparisons.
STAT470
Actuarial Mathematics
Credits: 3
Prerequisite: 1 course with a minimum grade of C- from (MATH240, MATH461, MATH341); and 1 course with a minimum grade of C- from (MATH340, MATH241).
Recommended: STAT400.
Major mathematical ideas involved in calculation of life insurance premiums, including compound interest and present valuation of future income streams; probability distribution and expected values derived from life tables; the interpolation of probability distributions from values estimated at one-year multiples; the 'Law of Large Numbers' describing the regular probabilistic behavior of large populations of independent individuals; and the detailed calculation of expected present values arising in insurance problems.
STAT498A
(Perm Req)
Selected Topics in Statistics
Credits: 1 - 6
Contact department for information to register for this course.
STAT600
Probability Theory I
Credits: 3
Prerequisite: STAT410.
Probability space; distribution functions and densities; Poissson limit theoreom; de Moivre-Laplace theorem; measure-theoretic definition of expectation; classification of measures on R; convergence of random variables; Radon-Nikodym theorem;LP spaces; conditional probabilities; independence of events, sigma-algebras and random variables; Bayes' theo rem; pi-systems and Dynkin systems; discrete Markov chains; random walks; gambler's ruin problem; Markov chains on a general phase space; Borel-cantelli lemmas; Kolmogorov inequality; three series theorem; laws of large numbers.
STAT689
(Perm Req)
Research Interactions in Statistics
Credits: 1 - 3
Contact department for information to register for this course.
STAT700
Mathematical Statistics I
Credits: 3
Prerequisite: STAT410; or students who have taken courses with comparable content may contact the department.
Sampling distributions including noncentral chi-squared, t, F. Exponential families, completeness. Sufficiency, factorization, likelihood ratio. Decision theory, Bayesian methods, minimax principle. Point estimation. Lehmann-Scheffe and Cramer-Rao theorems. Set estimation.
Offered fall only.
STAT702
Survival Analysis
Credits: 3
Prerequisite: STAT410 and STAT420; or students who have taken courses with comparable content may contact the department; or permission of instructor.
Concepts/definitions of survival functions, hazard rate or hazard function, cumulative hazard functions, mean residual life, inversion formulas; Parametric models: exponential distribution, Weibull distribution; Censored/incomplete data and real data examples; right censored data, doubly censored data, interval censored data, truncated data; Nonparametric maximal likelihood estimator for the lifetime distribution under different types of censoring (e.g., Kaplan-Meier estimator), self-consistency estimators, the EM algorithm, applications of the empirical likelihood; Semiparametric models: accelerated lifetime model, proportional hazard model, the Cox model; Goodness of fit tests and diagnostic methods for model checking.
STAT705
Computational Statistics
Credits: 3
Prerequisite: STAT700 or STAT420.
Recommended: Have some programming experience (any language).
Credit only granted for: STAT705 or STAT798C.
Formerly: STAT798C.
Modern methods of computational statistics and their application to bot practical problems and research. S-Plus and SAS programming with emphasis on S-Plus. S-Plus objects and functions, and SAS procedures. Topics include data management and graphics, Monte Carlo and simulation, bootstrapping, numerical optimization in statistics, linear and generalized linear models, nonparametric regression, time series analysis.
STAT740
Linear Statistical Models I
Credits: 3
Prerequisite: STAT700 or STAT420.
Least squares, general linear models, estimability and Gauss-Markov theorem. Simple and multiple linear regression, analysis of residuals and diagnostics, polynomial models, variable selection. Qualitative predictors, one and two way analysis of variance, multiple comparisons, analysis of covariance. Nonlinear least squares. High-level statistical computer software will be used for data analysis throughout the course.
STAT750
Multivariate Analysis
Credits: 3
Prerequisite: STAT700 or STAT420.
Multivariate normal, Wishart's and Hotelling's distributions. Tests of hypotheses, estimation. Generalized distance, discriminant analysis. Regression and correlation. Multivariate analysis of variance; distribution of test criteria. Principal components, canonical correlations and factor analysis.
STAT799
Master's Thesis Research
Credits: 1 - 6
Contact department for information to register for this course.
STAT808A
Selected Topics in Probability
Credits: 1 - 3
Contact department for information to register for this course.
STAT818A
Selected Topics in Statistics
Credits: 1 - 3
Contact department for information to register for this course.
STAT818S
Selected Topics in Statistics; Stochastic Differential Equations
Credits: 1 - 3