All STAT/MATH/OPRS courses offered by the Department of Mathematics are approved to satisfy requirements for the Problem Solving Goal of UNC Charlotte Education.

Undergraduate

STAT 1220. Elements of Statistics I (BUSN). (3) Prerequisite: MATH 1100 or placement by the department. Noncalculus based introduction to data summarization, discrete and continuous random variables (e.g., binomial, normal), sampling, central limit theorem, estimation, testing hypotheses and linear regression. Applications of theory will be drawn from areas related to business. May not be taken for credit if credit has been received for STAT 1221 or 1222. (Fall, Spring, Summer) (Evenings)

STAT 1221. Elements of Statistics I (BIOL). (3) Prerequisite: MATH 1100 or placement by the department. Same topics as STAT 1220 with special emphasis on applications to the life sciences. May not be taken for credit if credit has been received for STAT 1220 or 1222. (Fall, Spring)

STAT 1222. Elements of Statistics I (SBS). (3) Prerequisite: MATH 1100 or placement by the department. Same topics as STAT 1220 with special emphasis on applications to the social and behavioral sciences. May not be taken for credit if credit has been received for STAT 1220 or 1221. (Fall, Spring, Summer) (Evenings)

STAT 1223. Elements of Statistics II. (3) Prerequisite: STAT 1220, 1221, or 1222. A continuation of STAT 1220 or 1221 or 1222. Topics include contingency analysis, design of experiments, more on simple linear regression, and multiple regression. Computers will be used to solve some of the problems. (Fall) (On demand)

STAT 2122. Introduction to Probability and Statistics. (3) Prerequisite: MATH 1141 or consent of the department. A study of probability models, discrete and continuous random variables, inference about Bernoulli probability, inference about population mean, inference about population variance, the maximum likelihood principle, the minimax principle, Bayes procedures and linear models. (Fall, Spring, Summer) (Evenings)

STAT 3122. Probability and Statistics I. (3) Same as MATH 3122. (Fall) (Evenings)

STAT 3123. Probability and Statistics II. (3) Same as MATH 3123. (Spring) (Evenings)

Graduate and Advanced Undergraduate

STAT 5123. Applied Statistics I. (3) (3G) Prerequisites: MATH 2164 with a grade of C or better and junior standing, or consent of department. Review of stochastic variables and probability distributions, methods of estimating a parameter, hypothesis testing, confidence intervals, contingency tables. Linear and multiple regression, time series analysis. (Fall) (Evenings) (Alternate years)

STAT 5124. Applied Statistics II. (3) (3G) Prerequisite: STAT 5123 or consent of the department. One way analysis of variance. Multiway classification. Randomized complete-block designs, nested or hierarchical designs, Latin squares, factorial experiments. Design of experiments. (Spring) (Evenings) (Alternate years)

STAT 5126. Theory of Statistics I. (3) (3G) Prerequisite: STAT 3123 or consent of the department. Survey of the mathematical structure supporting applied statistics. Discrete and continuous distributions, moment-generating functions, sampling, point estimation, the multivariate normal distribution, sampling distributions. (Fall) (Alternate years)

STAT 5127. Theory of Statistics II. (3) (3G) Prerequisite: STAT 5126 or consent of the department. Point and interval estimations, hypothesis testing, regression and linear hypotheses, experimental designs and analysis, distribution-free methods. (Spring) (Alternate years)

Advanced Graduate Only

STAT 7027. Topics in Statistics. (3G) Prerequisite: consent of the department. Topics of current interest in statistics and/or applied statistics. May be repeated for credit with consent of the department. (On demand)

STAT 7122. Advanced Statistics I. (3G) Prerequisite: MATH 7143 and STAT 5127 or consent of department. A survey of frequently used statistical techniques selected from: estimation theory and hypothesis testing, parametric goodnes-of-fit criterion and tests for independence, measures of association, regression techniques, multi-sample inferential techniques, Bayes and minimax estimation, admissibility, minimax property. ( On demand)

STAT 7123. Advanced Statistics II. (3G) Prerequisites: STAT 7122 or consent of the department. Hypothesis testing, Neyman-Pearson Lemma, UMP tests, UMP unbiased tests, monotone likelihood ratio families of distributions, UMP invariant tests. Confidence bounds and regions, uniformly most accurate bounds, regression models, least squares estimates, normal equations, Gaiss-Markov theorem. Large sample behavior of methods of moments estimates, maximum likelihood estimates, likelihood ratio tests, Chi-square tests, approximate confidence regions for large samples. (On demand)

STAT 7124. Sampling Theory. (3G) Prerequisite: STAT 5126 or consent of the department. Methods and theory of survey sampling: simple, systematic, stratified, cluster multistage and specialized sampling schemes and the problems of their implementation and analysis. (On demand)

STAT 7127. Linear Statistical Models. (3G) Prerequisites: MATH 2164 and 3123 or consent of the department. A selection of topics from the following list: distribution and quadratic forms, regression, dummy variables, models not of full rank, the two-way crossed classification, time series. (Fall) (Alternate years)

STAT 7133. Multivariate Analysis. (3G) Prerequisite: STAT 5126 and 5127 or consent of the department. Multivariate distributions. Inference for the multivariate normal model. Further topics from the following: principal components, factor analysis, multidimensional scaling, canonical correlation, discriminant analysis, cluster analysis, multivariate linear models, special topics. (Fall) (Alternate years)