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Morris Courses

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STATISTICS (STAT) Division of Science and Mathematics Division of Science & Mathematics - Adm STAT 1601 - Introduction to Statistics (M/SR) (4.0 cr; Prereq-high school higher algebra; fall, spring, every year) Scope, nature, tools, language, and interpretation of elementary statistics. Descriptive statistics; graphical and numerical representation of information; measures of location, dispersion, position, and dependence; exploratory data analysis. Elementary probability theory, discrete and continuous probability models. Inferential statistics, point and interval estimation, tests of statistical hypotheses. Inferences involving one and two populations, ANOVA, regression analysis, and chi-squared tests; use of statistical computer packages. STAT 1993 - Directed Study (1.0 - 5.0 cr [max 10.0 cr]; Prereq-approved directed study form; fall, spring, every year) An on- or off-campus learning experience individually arranged between a student and a faculty member for academic credit in areas not covered in the regular curriculum. STAT 2501 - Probability and Stochastic Processes (M/SR) (4.0 cr; =[MATH 2501]; Prereq-Math 1101 or #; fall, offered periodically) Same as Math 2501. Probability theory; set theory, axiomatic foundations, conditional probability and independence, Bayes' rule, random variables. Transformations and expectations; expected values, moments and moment generating functions. Common families of distributions; discrete and continuous distributions. Multiple random variables; joint and marginal distributions, conditional distributions and independence, covariance and correlation, multivariate distributions. Properties of random sample and central limit theorem. Markov chains, Poisson processes, birth and death processes, and queuing theory. STAT 2601 - Statistical Methods (M/SR) (4.0 cr; Prereq-Math 1101 or Math 1021; fall, every year) Descriptive statistics, elementary probability theory; laws of probability, random variables, discrete and continuous probability models, functions of random variables, mathematical expectation. Statistical inference; point estimation, interval estimation, tests of hypotheses. Other statistical methods; linear regression and correlation, ANOVA, nonparametric statistics, statistical quality control, use of statistical computer packages. STAT 2611 - Mathematical Statistics (M/SR) (4.0 cr; Prereq-Math 1101; spring, every year) Introduction to probability theory. Principles of data reduction; sufficiency principle. Point estimation; methods of finding and evaluating estimators. Hypothesis testing; methods of finding and evaluating tests. Interval estimation; methods of finding and evaluating interval estimators. Linear regression and ANOVA. STAT 2993 - Directed Study (1.0 - 5.0 cr [max 10.0 cr]; Prereq-approved directed study form; fall, spring, every year) An on- or off-campus learning experience individually arranged between a student and a faculty member for academic credit in areas not covered in the regular curriculum. STAT 3501 - Survey Sampling (M/SR) (4.0 cr; Prereq-1601 or 2601 or #; fall, even years) Introduction to basic concepts and theory of designing surveys. Topics include sample survey designs including simple random sampling, stratified random sampling, cluster sampling, systemic sampling, multistage and two-phase sampling including ratio and regression estimation, Horvitz-Thomson estimation, questionnaire design, non-sampling errors, missing value-imputation method, sample size estimation, and other topics related to practical conduct of surveys. STAT 3601 - Data Analysis (M/SR) (4.0 cr; Prereq-1601 or 2601 or 2611 or #; fall, every year) Nature and objectives of statistical data analysis, exploratory and confirmatory data analysis techniques. Some types of statistical procedures; formulation of models, examination of the adequacy of the models. Some special models; simple regression, correlation analysis, multiple regression analysis, analysis of variance, use of statistical computer packages. STAT 3611 - Multivariate Statistical Analysis (M/SR) (4.0 cr; Prereq-1601 or 2601 or 2611 or #; spring, every year) Analysis of categorical data. Loglinear models for two- and higher-dimensional contingency tables. Logistic regression models. Aspects of multivariate analysis, random vectors, sample geometry and random sampling, multivariate normal distribution, inferences about the mean vector, MANOVA. Analysis of covariance structures: principal components, factor analysis. Classification and grouping techniques: discrimination and classification, clustering, use of statistical computer packages. STAT 3993 - Directed Study (1.0 - 5.0 cr [max 10.0 cr]; Prereq-approved directed study form; fall, spring, every year) An on- or off-campus learning experience individually arranged between a student and a faculty member for academic credit in areas not covered in the regular curriculum. STAT 4601 - Biostatistics (4.0 cr; Prereq-1601 or 2601 or 2611 or #; spring, offered periodically) Design and analysis of biological studies: biological assays, case-control studies, randomized clinical trials, factorial designs, repeated measures designs, observational studies, and infectious disease data. Analysis of survival data: basic concepts in survival analysis, group comparisons, and Cox regression model. Use of statistical computer packages. STAT 4611 - Statistical Consulting (4.0 cr; Prereq-3601, 3611; fall, spring, offered periodically) Statistical consulting skills needed to deal effectively with clients or project teams, formulate statistical models, explain analyses, use standard statistical computer packages, and write reports in language understandable to non-statisticians. STAT 4631 - Design and Analysis of Experiments (4.0 cr; Prereq-3601 or #; fall, spring, offered periodically) Design and analysis of experimental designs; blocking, randomization, replication, and interaction; complete and incomplete block designs; factorial experiments; crossed and nested effects; repeated measures; confounding effects. STAT 4651 - Applied Nonparametric Statistics (4.0 cr; Prereq-1601 or 2601 or 2611 or #; fall, spring, offered periodically) Application of nonparametric statistical methods. Examples use real data, gleaned primarily from results of research published in various journals. Nonparametric inference for single samples, paired samples, and independent samples, correlation and concordance, nonparametric regression, goodness-of-fit tests, and robust estimation. STAT 4671 - Statistical Computing (4.0 cr; Prereq-1601 or 2601 or 2611 or #; summer, offered periodically) Entering, exploring, modifying, managing, and analyzing data by using selected statistical software packages such as R or SAS. The use of statistical software is illustrated with applications of common statistical techniques and methods. Designed for students who have a basic understanding of statistics and want to learn the computing tools needed to carry out an effective statistical analysis. STAT 4681 - Introduction to Time Series Analysis (4.0 cr; Prereq-3601 or #; fall, odd years) Introduction to the analysis of time series including those with a connection to environment such as spatial and spatio-temporal statistics. Randomness test, ARMA, ARIMA, spectral analysis, models for stationary and non-stationary time series, seasonal time series models, conditional heteroscedastic models, spatial random processes, covariance functions and variograms, interpolation and kriging. STAT 4901 - Senior Seminar (1.0 cr; Prereq-sr; fall, every year) Full-year course. Required for all statistics majors. Students must attend year round and present one of the seminars. STAT 4993 - Directed Study (1.0 - 5.0 cr [max 10.0 cr]; Prereq-approved directed study form; fall, spring, every year) An on- or off-campus learning experience individually arranged between a student and a faculty member for academic credit in areas not covered in the regular curriculum.
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