Oasis Title: ELEM STATISTICS.

Not open to students with credit in STAT 2100H or STAT 2210 or MSIT 3000.

Statistics at a level which assumes knowledge of high school algebra. Descriptive statistics, random variables, probability distributions, sampling distributions, confidence interval estimation and hypothesis testing. Simple linear regression and correlation.

Offered fall, spring, and summer semesters every year.

Oasis Title: INTRO STAT W COMP.

Not open to students with credit in STAT 2000 or STAT 2210 or MSIT 3000.

Prerequisite: Permission of Honors.

Sampling theory including sample survey design; descriptive statistics; statistical distributions and their uses; estimation; introductory statistical inference including z-test and t-test for one sample (hypothesis testing); analysis of differences in two means; simple linear regression and correlation; goodness of fit tests and contingency tables.

Offered fall and spring semesters every year.

Oasis Title: INTRO STAT & COMP.

Not open to students with credit in STAT 2100H or STAT 2000 or MSIT 3000.

Sampling theory including sample survey design; descriptive statistics; statistical distributions and their uses; estimation; introductory statistical inference including z-test and t-test for one sample (hypothesis testing); analysis of differences in two means; simple linear regression and correlation; goodness of fit tests and contingency tables.

Offered fall and spring semesters every year.

Oasis Title: STAT METH FOR BUS.

Not open to students with credit in STAT 4210 or MSIT 3000 or MSIT 3000H.

Prerequisite: ACCT 2101 and (MIST 2090 or CSCI 1100-1100L).

Statistical methods for analysis of business data. Topics include: descriptive statistics, probability, random variables and distributions, sampling distributions of sample mean and proportion, statistical inference for population mean and proportion for single sample, comparison of two population means and proportions, simple linear regression, and introduction to multiple regression.

Offered fall, spring, and summer semesters every year.

Oasis Title: DAT ANLY FOR TCHRS.

Not open to students with credit in STAT 4070/6070 or STAT 4110 or STAT 4210, STAT 6210 or STAT 6310.

Undergraduate prerequisite: STAT 2000.

Univariate analysis for measurement data using graphs and numerical summaries; bivariate analysis for measurement data using scatterplots, correlation, and fitting lines; describing categorical data; sampling methods; observational and experimental studies; describing random behavior; binomial and normal distributions; sampling distributions; confidence intervals and significance testing; pedagogy methods for instruction and integrating technology.

Offered spring semester every year.

Oasis Title: STAT FOR TEACHERS.

Undergraduate prerequisite: STAT 2000.

Sampling and statistical studies; basic probability; random variables and their distributions; exploring data using graphical techniques and numerical summaries; exploring relationships between two variables: chi-sq. test of independence; correlation, linear regression; confidence intervals and hypothesis testing for means and proportions. Group projects and activities illustrating concepts will be utilized.

Offered fall, spring, and summer semesters every year.

Oasis Title: APPL STOCH PROC.

Not open to students with credit in STAT 4720/6720 or STAT 8700.

Undergraduate prerequisite: MATH 2500.

Stochastic processes including discrete, continuous and conditional probability concepts. Definitions and properties of stochastic processes. Markov processes and chains, basic properties, transition matrices and steady state properties. Reliability renewal and queueing processes, expected waiting times, single and multiserver queues.

Offered fall semester every odd-numbered year.

Oasis Title: HONORS APPL STAT.

Not open to students with credit in STAT 4110 or STAT 4210.

Prerequisite: STAT 2100H and permission of Honors.

Analysis of variance including completely randomized design, randomized block design, factorial designs, and interaction; regression analysis including linear regression and multiple regression, model checking and analysis of residuals, and model building; nonparametric statistics; power of a test. Computer application by use of a statistical package with programming capabilities. Major project required.

Offered spring semester every year.

Oasis Title: APPLIED STATISTICS.

Not open to students with credit in STAT 4110H or STAT 4210.

Prerequisite: STAT 2210.

Analysis of variance including completely randomized design, randomized block design, factorial designs, and interaction; regression analysis including linear regression and multiple regression, model checking and analysis of residuals, and model building; nonparametric statistics; power of a test. Computer application by use of a statistical package with programming capabilities.

Offered spring semester every even-numbered year.

Oasis Title: STATISTICAL METHODS.

Not open to students with credit in STAT 4110H or STAT 4110.

Prerequisite: STAT 2000.

Statistical distributions; one- and two-population tests about means, including t-tests and paired-difference tests; one- and two-population tests about the variance; contingency tables and goodness-of-fit tests; non-parametric tests; analysis of variance and simple experimental designs; linear regression and residual diagnostics.

Offered fall, spring, and summer semesters every year.

Oasis Title: APPL EXP DESIGNS.

Prerequisite: STAT 4110H or STAT 4210.

Constructing and analyzing statistical experimental designs; blocking, randomization, replication and interaction; complete and incomplete block designs; factorial experiments; repeated measures; confounding effects.

Offered fall and spring semesters every year.

Oasis Title: APPLIED REGRESSION.

Undergraduate prerequisite: STAT 4210 or STAT 6220 or permission of department.

Applied methods in regression analysis. Topics include univariate linear regression, techniques of multiple regression and model building, ANOVA as regression analysis, analysis of covariance, model selection and diagnostic checking techniques, nonlinear regression, and logistic regression.

Offered spring and summer semesters every year.

Oasis Title: SAMPLING METHODS.

Undergraduate prerequisite: STAT 4210 or STAT 6210.

Design of finite population sample surveys. Stratified, systematic, and multistage cluster sampling designs. Sampling with probability proportional to size. Auxiliary variables, ratio and regression estimators, non-response bias.

Offered fall semester every year.

Oasis Title: QUALITY ASSURANCE.

Undergraduate prerequisite: STAT 4210 or STAT 6220.

Basic graphical techniques and control charts. Experimentation in quality assurance. Sampling issues. Other topics include process capability studies, error analysis, SPRT, estimation and reliability.

Offered spring semester every year.

Oasis Title: LEAST SQU METH0DS.

Undergraduate prerequisite: STAT 4210 and MATH 2500.

Least squares techniques using matrices. Techniques of matrix algebra and calculus applied to regression and experimental designs.

Offered fall semester every year.

Oasis Title: APPLIED TIME SERIES.

Undergraduate prerequisite: STAT 4510/6510.

Autoregressive, moving average, autoregressive-moving average, and integrated autoregressive-moving average processes, seasonal models, autocorrelation function, estimation, model checking, forecasting, spectrum, spectral estimators.

Offered fall semester every year.

Oasis Title: NONPARAMETRICS.

Undergraduate prerequisite: STAT 4210 or STAT 6220.

Techniques and applications of nonparametric statistical methods, estimates, confidence intervals, one sample tests, two sample tests, several sample tests, tests of fit, nonparametric analysis of variance, correlation tests, chi-square test of independence and homogeneity, sample size determination for some nonparametric tests.

Offered spring semester every year.

Oasis Title: PROGRAMMING IN SAS.

Undergraduate prerequisite: STAT 4210 or STAT 4230/6230 or STAT 6220.

Statistical programming techniques, data manipulation, and presentation of analyses using SAS software package.

Offered spring semester every year.

Oasis Title: SURVIVAL ANALYSIS.

Undergraduate prerequisite: [(STAT 4210 or STAT 6220) and STAT 4510/6510] or permission of department.

Methods for comparing time-to-event data, including univariate parametric and nonparametric procedures, regression models, diagnostics, group comparisons, and use of relevant statistical computing packages.

Offered fall semester every year.

Oasis Title: MATH STATISTICS I.

Undergraduate prerequisite: MATH 2500.

Concepts and basic properties of some special probability distributions, independence, moment generating functions, sampling distributions of statistics, limiting distributions.

Offered fall and spring semesters every year.

Oasis Title: MATH STATISTICS II.

Undergraduate prerequisite: STAT 4510/6510.

Methods and properties of point estimation, confidence intervals, minimum variance unbiased estimators, hypothesis testing, analysis of variance, linear regression.

Offered spring semester every year.

Oasis Title: STAT METH BIOINF I.

Graduate prerequisite: STAT 4210 or STAT 6220.

Methods for analysis of DNA sequence data, with an emphasis on the probabilistic basis of the methods. Topics include analysis of single DNA sequences, sequences alignment, BLAST searches, and related topics, as well as relevant topics from probability theory.

Offered fall semester every year.

Oasis Title: STAT METH BIOINF II.

Graduate prerequisite: STAT 4630/6630.

Further development of methods for analysis of DNA sequence data. Topics include sequence comparisons, DNA database searches, evolutionary models, phylogenetic tree construction and related topics, as well as relevant topics from probability theory.

Offered spring semester every year.

Oasis Title: INTRO PROBABILITY I.

Undergraduate prerequisite: MATH 2500.

Probability axioms, combinatorial analysis, random variables, univariate and multivariate distributions, expectations, conditional distributions, independence, and laws of large numbers.

Offered fall semester every year.

Oasis Title: INTR PROBABILITY II.

Undergraduate prerequisite: STAT 4710/6710.

Central limit theorems, random walks, Markov chains and processes, Brownian motion, branching and renewal processes, diffusion processes and queueing processes and applications.

Offered spring semester every year.

Oasis Title: STATIST METHODS I.

Statistical models, descriptive statistics, random variables, probability distributions, concepts in statistical inference, estimation, confidence intervals, hypothesis testing, goodness-of-fit tests, contingency tables.

Offered fall, spring, and summer semesters every year.

Oasis Title: STATIST METHODS II.

Prerequisite: STAT 6210.

Regression analysis including simple linear regression, multiple regression, model checking and analysis of residuals, correlation and prediction, analysis of variance, completely randomized designs, randomized block designs, factorial designs, interaction and covariance analysis.

Offered fall, spring, and summer semesters every year.

Oasis Title: STATIST ANALYSIS I.

Prerequisite: Permission of department.

Statistical analysis, including principles of sampling and descriptive statistics, elementary probability and discrete random variables, normal distribution, sampling distributions, statistical inference and hypothesis testing for one and two samples, simple linear regression, basic nonparametrics, chi-squared tests.

Offered fall semester every year.

Oasis Title: STATIST ANALYSIS II.

Prerequisite: STAT 6310 or permission of department.

Statistical analysis, including multiple regression, model building and selection, regression diagnostics, nonlinear regression, completely randomized designs, randomized block designs, factorial designs, general linear models, analysis of covariance, split plot designs, repeated measures analyses, and use of relevant statistical computing packages.

Offered fall and spring semesters every year.

Oasis Title: TOOLS STAT THRY.

Prerequisite: (MATH 2500 and MATH 3000 and STAT 4510/6510) or permission of department.

Statistical logic and proofs, convergence, expectations, and matrix manipulations. Topics of this course are chosen to strengthen beginning statistics graduate students' analytical skills.

Offered fall semester every year.

Oasis Title: PROBABILITY DIST.

Prerequisite: Permission of department.

Probability laws, distribution functions and expectations, random variables and statistical distributions, joint distributions and conditional expectations, order statistics, Markov chains, Poisson process, Brownian motion, renewal theory, queueing theory.

Offered fall semester every year.

Oasis Title: STATISTICAL INFER.

Prerequisite: STAT 6810.

Principles of data reduction, completeness, ancillarity. Point estimation; methods of estimation. Evaluation of estimators; C-R lower bound, efficiency, hypothesis testing: N-P tests, UMP tests, interval estimation; coverage probabilities and confidence sets.

Offered spring semester every year.

Oasis Title: MASTER'S RESEARCH.

Prerequisite: Permission of department.

Research while enrolled for a master's degree under the direction of faculty members.

Non-traditional format: Independent research under the direction of a faculty member.

Offered fall, spring, and summer semesters every year.

Oasis Title: TECHNICAL REPORT.

Prerequisite: Permission of department.

For use with the professional master's degree in the Applied Mathematical Sciences.

Non-traditional format: Students doing technical report work for the professional Masters of Applied Mathematical Sciences Degree will meet with their assigned faculty members as needed.

Offered fall, spring, and summer semesters every year.

Oasis Title: MASTER'S THESIS.

Prerequisite: Permission of department.

Thesis writing under the direction of the major professor.

Non-traditional format: Independent research and thesis preparation.

Offered fall, spring, and summer semesters every year.

Oasis Title: STAT INTERNSHIP.

Supervised practicum in a government agency or industry site.

Non-traditional format: Students work within a statistics group under the direction of the group leader at the government or industry site. A report of the statistical consulting activity undertaken is submitted to the directing faculty member.

Offered fall, spring, and summer semesters every year.

Oasis Title: TEACHING IN STAT.

Prerequisite: Permission of department.

Provides graduate teaching assistants with knowledge of pedagogical approaches and available support systems for teaching statistics courses. Special sections are reserved for international students, with focus on use of language, pedagogy, and cultural aspects of teaching in this country.

Offered fall semester every year.

Oasis Title: STATIST CONSULTING.

Prerequisite: STAT 8260.

Statistical consulting skills needed to deal with clients, formulate statistical models, explain analyses, use standard statistical computer packages, and write reports in language understandable to the client.

Offered fall, spring, and summer semesters every year.

Oasis Title: ENVIRON STATIST.

Prerequisite: STAT 4210 or STAT 6220 or STAT 6320.

Methods for sampling the environment and subsequent analysis of resulting data are considered. Emphasis is placed on design-based analysis and spatial data analysis. Special topics include environmental variables, environmental toxicology, and long-term trend detection.

Offered fall semester every even-numbered year.

Oasis Title: COMPUTING STAT I.

Prerequisite: STAT 4510/6510 and STAT 6220.

Algorithms for computer generation of discrete and continuous univariate and multivariate random variates. Finite population sampling algorithms. Poisson processes. Variance reduction techniques. Analysis of simulated data.

Offered fall semester every year.

Oasis Title: COMPUTING STAT II.

Prerequisite: STAT 8060.

A continuation of Computing Techniques in Statistics I. Resampling methods. Markov-chain simulation techniques. Numerical integration. Optimization techniques. Data augmentation methods. Selected topics in advanced statistical computation.

Offered spring semester every odd-numbered year.

Oasis Title: STATIST GENETICS.

Prerequisite: (STAT 4210 or STAT 6220) and STAT 4510/6510.

Common statistical and genetic models appropriate for analyzing genetic data, especially DNA sequence data. Emphasis on fitting models, estimating parameters, and making inferences based on genetic data.

Offered spring semester every odd-numbered year.

Oasis Title: PROBABILITY I.

Prerequisite: MATH 4100/6100 or STAT 6800.

Measurable spaces and measures, Lebesgue-Stieljes measure, independence, almost sure and in probability convergence, integration in probability spaces, product measures, absolute continuity of measures, weak law of large numbers, strong law of large numbers, weak convergence.

Offered fall semester every year.

Oasis Title: PROBABILITY II.

Prerequisite: STAT 8170.

Central limit theorem and Lindeberg-Feller theorem, stable laws, infinitely divisible laws, conditional expectations, Martingales, almost sure convergence for martingales, uniform integability, Markov chains, Brownian motion, Skorokhod's representation and Donsker's theorem.

Offered spring semester every year.

Oasis Title: EXPER DESIGNS.

Prerequisite: STAT 4210 or STAT 6220 or STAT 6320.

Methods for constructing and analyzing designed experiments are considered. Concepts of experimental unit, randomization, blocking, replication, and orthogonal contrasts are introduced. Designs include completely randomized design, randomized complete block design, Latin squares design, split-plot design, repeated measures design, and factorial and fractional factorial designs.

Offered fall and spring semesters every year.

Oasis Title: MULTIVARIATE.

Prerequisite: STAT 6320.

Relevant matrix theory, multivariate random vectors, exact and asymptotic distributions, multivariate normal distribution (MVN), Q-Q plots, sampling from MVN and inference for population mean vector, covariance matrix, correlation matrix, MANOVA, principal component analysis, factor analysis, discriminant analysis and classification and clustering.

Offered spring semester every year.

Oasis Title: CLINICAL TRIALS.

Prerequisite: STAT 6320.

Drug development and NDA approval procedures; randomization; blindness; phase I-IV clinical trials; multicenter trials; bioequivalency; sample size determination; design and analysis; cross-over design; repeated measurements design; survival analysis; meta analysis.

Offered spring semester every even-numbered year.

Oasis Title: APPL NONLINEAR REG.

Prerequisite: STAT 6220 or STAT 6320.

Statistical modeling using nonlinear regression is considered. Topics include fixed-effects nonlinear regression models, nonlinear least squares, computational methods and practical matters, growth models, and compartmental models. Nonlinear mixed-effects models are discussed, including model interpretation, estimation and inference. Examples will be drawn from forestry, pharmaceutical sciences, and other fields.

Offered fall semester every odd-numbered year.

Oasis Title: SAMPLING.

Prerequisite: STAT 4240/6240 and STAT 6820.

Prerequisite or corequisite: STAT 8210 and STAT 8260.

Recent development in model-based estimation in survey sampling. A super population approach to inference on finite population quantities will be taken. Both Bayesian and classical approaches to sampling and related applications including small area estimation will be emphasized.

Offered spring semester every odd-numbered year.

Oasis Title: MULTIVAR METHODS.

Prerequisite: STAT 6220.

The relevant matrix theory, multivariate random vectors and their distributions, multivariate normal distribution (MVN), sampling from MVN and inference for population mean vector, covariance matrix, correlation matrix, multivariate ANOVA, principal component analysis, factor analysis, discriminant analysis and classification.

Offered fall semester every year.

Oasis Title: LINEAR MODELS.

Prerequisite or corequisite: STAT 6820 and STAT 8210.

The Gauss-Markov model is introduced. Topics include estimability, parameter estimation, analysis of variance, hypothesis testing, restricted models, reparameterization, two-part model, correlated data, and fixed, mixed and random effects models.

Offered spring semester every year.

Oasis Title: SPATIAL STATISTICS.

Prerequisite: STAT 4520/6520 and STAT 8260.

Theoretical foundations of spatial statistics, models for spatial data, and methods for model fitting, statistical inference, and spatial prediction are considered. Analysis of lattice data, images, continuous spatial variation and spatial point patterns.

Offered spring semester every odd-numbered year.

Oasis Title: TIME SERIES.

Prerequisite: STAT 4520/6520 or STAT 6820.

Linear processes, autoregressive-moving average models, predication, parameter estimation, model fitting and testing.

Offered fall semester every odd-numbered year.

Oasis Title: ADV EXP DESIGNS.

Prerequisite: STAT 8260.

Historical and recent advances in experimental design are considered. Designs including factorial, fractional factorial, central composite, incomplete block, cyclic, row-column, and simplex are discussed. Response surface and mixture models are considered. Optimal designs for linear and nonlinear models are developed.

Not offered on a regular basis.

Oasis Title: MULTIVARIATE ANAL.

Prerequisite: STAT 6820 and STAT 8210.

Selected topics in the theory of multivariate analysis at an advanced level.

Not offered on a regular basis.

Oasis Title: ADV APPL COMP.

Prerequisite: STAT 8200.

Basics of S programming language, objects in S+, graphics in S+, smoothing techniques and data summaries, linear models, generalized linear models, modern nonlinear regression techniques, multivariate statistics, survival analysis.

Offered spring semester every odd-numbered year.

Oasis Title: ADV STAT INFER I.

Prerequisite: STAT 6820.

Prerequisite or corequisite: STAT 8170.

Exponential families; more on sufficiency, completeness, ancillarity, and UMVUE; C-R lower bound and Fisher information for single and multiparameter cases; equivariance; large sample theory; likelihood estimation and asymptotic efficiency.

Offered fall semester every year.

Oasis Title: ADV STAT INFER II.

Prerequisite: STAT 8530.

Theory of uniformly most powerful tests, unbiased tests, and invariant tests, maximin tests, confidence sets, asymptotic theory for standard large sample likelihood based tests, theory of linear rank tests.

Offered spring semester every year.

Oasis Title: ASYMPTOTIC INFER.

Prerequisite: STAT 8540.

Local asymptotic normality and its applications; M-estimation; minimum distance methods; robust inference; quasilikelihood and applications to generalized linear models; kernel density estimation; adaptive estimators and tests with applications to proportional hazard models.

Offered fall semester every year.

Oasis Title: ADV NONPARAMETRICS.

Prerequisite: STAT 8540.

Nonparametric estimation and hypothesis testing, relative efficiency, exchangeable random variables, ranking and distribution free statistics, generalized U-Statistics, generalized linear rank statistics, limiting distributions of certain nonparametric statistics, density estimation and related topics.

Not offered on a regular basis.

Oasis Title: DECISION THEORY.

Prerequisite: STAT 8530.

Essential elements of decision theory, game theoretic approach, minimax theorem, Bayesian Inference and decision rules, admissibility and minimaxity results, minimax estimation of normal and Poisson means, multiple decision problems, gamma-minimaxity.

Not offered on a regular basis.

Oasis Title: RANKING & SELECTION.

Prerequisite: STAT 4520/6520 or STAT 6820.

Selecting the best populations and treatments; indifference zone and subset selection approaches; multiple comparisons; nonparametric selection; bayesian selection; estimation of ordered parameters.

Not offered on a regular basis.

Oasis Title: ADV STAT APPLI I.

Prerequisite: STAT 6320 and STAT 6820.

Review of standard discrete distributions and generating functions, two-way and higher-dimensional contingency tables, chi-squared and other goodness-of-fit tests, binary response models, log-linear models, multinomial response models, introduction to generalized linear models.

Offered fall semester every year.

Oasis Title: ADV STAT APPL II.

Prerequisite: STAT 8260 and STAT 8620.

Theoretical foundations for the generalized linear model are introduced. Applications to Gaussian, binary, polytomous, and counts data are considered. Topics include hierarchical model building, estimation algorithms, analysis of deviance, and diagnostics. Extensions include overdispersed data, mixed generalized linear models, longitudinal data, and spatial data.

Offered spring semester every year.

Oasis Title: BOOTSTRAPPING.

Prerequisite: STAT 8530.

The jacknife and bootstrap, bootstrap confidence intervals, prepivoting, asymptotic validity and invalidity, bootstrap accuracy and Edgeworth expansions, bootstrap for regression and autoregression, bootstrapping Markov chain models, moving block bootstrap for general weakly dependent data.

Offered fall semester every even-numbered year.

Oasis Title: APPL STOCH PROC.

Prerequisite: STAT 4720/6720.

Discrete time Markov chains, continuous time Markov chains, queueing processes, renewal processes, Markov random fields, point processes, Brownian motion and diffusion.

Offered spring semester every even-numbered year.

Oasis Title: SEQUENTIAL ANALYSIS.

Prerequisite: STAT 6820.

Prerequisite or corequisite: STAT 8170 and STAT 8530.

Stopping times, optional stopping theorem, Anscombe's theorem, renewal theorem and associated results, SPRT for simple and composite hypotheses, nonlinear renewal theory, sequential point and interval estimation. In addition to these topics, current results from the literature will be presented.

Offered spring semester every odd-numbered year.

Oasis Title: TOPICS IN STAT.

Prerequisite: Permission of department.

Selected topics concerning recent developments in statistics.

Offered fall, spring, and summer semesters every year.

Oasis Title: STAT SEMINAR.

Prerequisite: Permission of department.

Seminar topics in statistics.

Non-traditional format: Meeting times for the statistical seminar will vary with topic. Typical meeting times for seminars are one or one and one-half hours per week. Some seminars will meet twice a week, and individual meetings with faculty are occasionally used.

Offered fall, spring, and summer semesters every year.

Oasis Title: DOCTORAL RESEARCH.

Prerequisite: Permission of department.

Research while enrolled for a doctoral degree under the direction of faculty members.

Non-traditional format: Independent research under the direction of a faculty member.

Offered fall, spring, and summer semesters every year.

Oasis Title: DOCT DISSERTATION.

Prerequisite: Permission of department.

Dissertation writing under the direction of the major professor.

Non-traditional format: Independent research and preparation of the doctoral dissertation.

Offered fall, spring, and summer semesters every year.