

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; Prereqhigh 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 chisquared tests; use of statistical computer packages.
STAT
1993
 Directed Study
(1.0  5.0 cr [max 10.0 cr]; Prereqapproved directed study form; fall, spring, every year) An on or offcampus 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]; PrereqMath 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; PrereqMath 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; PrereqMath 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]; Prereqapproved directed study form; fall, spring, every year) An on or offcampus 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; Prereq1601 or 2601 or #; fall, even academic 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 twophase sampling including ratio and regression estimation, HorvitzThomson estimation, questionnaire design, nonsampling errors, missing valueimputation method, sample size estimation, and other topics related to practical conduct of surveys.
STAT
3601
 Data Analysis
(M/SR)
(4.0 cr; Prereq1601 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; Prereq1601 or 2601 or 2611 or #; spring, every year) Analysis of categorical data. Loglinear models for two and higherdimensional 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]; Prereqapproved directed study form; fall, spring, every year) An on or offcampus 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; Prereq1601 or 2601 or 2611 or #; spring, offered periodically) Design and analysis of biological studies: biological assays, casecontrol 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; Prereq3601, 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 nonstatisticians.
STAT
4631
 Design and Analysis of Experiments
(4.0 cr; Prereq3601 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; Prereq1601 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, goodnessoffit tests, and robust estimation.
STAT
4671
 Statistical Computing
(4.0 cr; Prereq1601 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; Prereq3601 or #; fall, odd academic years) Introduction to the analysis of time series including those with a connection to environment such as spatial and spatiotemporal statistics. Randomness test, ARMA, ARIMA, spectral analysis, models for stationary and nonstationary 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; Prereqsr; fall, every year) Fullyear 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]; Prereqapproved directed study form; fall, spring, every year) An on or offcampus learning experience individually arranged between a student and a faculty member for academic credit in areas not covered in the regular curriculum.






