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COURSE NUMBER AEM2100 AEM4100 AEM4110 AEM4160 SEMESTER Spring Fall Fall Spring CREDITS 4 3 3 3 COURSE NAME DESCRIPTION PROFESSOR PREREQUISITE Introductory Statistics Introduces statistical methods. Topics include the descriptive analysis of data, probability concepts and distributions, estimation and hypothesis testing, regression, and correlation analysis. Includes an introduction to Minitab, a statistical software package. C. L. van Es. college algebra. Business Statistics Focuses on techniques used to analyze data from marketing research, business, and economics. Topics include experimental design and ANOVA, contingency-table analysis, quality-control methods, time-series analysis, and forecasting. Also includes brief introductions to nonparametric methods and multivariate analysis. Involves a research project designed to give experience in collecting and interpreting data. C. L. van Es AEM 2100 or equivalent. Introduction to Econometrics Introduces students to basic conometric principles and the use of statistical procedures in empirical studies of economic models. Assumptions, properties, and problems encountered in the use of multiple regression are discussed as are simultaneous equation models, simulation, and forecasting techniques. D. R. Just. AEM 2100 and either ECON 3130 or PAM 2000 or equivalents. Strategic Pricing This quantitative course explores various pricing strategies by taking into consideration the role of consumer behavior, economics, statistics, and management science. Topics include product tying and bundling, peak load pricing, price matching, warranty pricing, advanced booking, and the 99-cent pricing perceptions. J. Liaukonyte. ECON 3130, AEM 2100, or equivalent. NOTES AEM4170 AEM6120 AEM7100 AEM7110 Fall Fall Spring Fall 3 1 3 3 Decision Models for Small and Large Businesses Focuses on economic and statistical models of decision analysis and their applications in large and small business settings. Demonstrates how use of models can improve the decision-making process by helping the decision maker. Emphasizes the importance of sensitivity analysis and the need to combine both quantitative and qualitative considerations in decision making. Draws cases from small business scenarios, the public policy arena, and corporate settings. Lab sessions focus on implementing decision models with computers. C. L. van Es. AEM 2100 or equivalent. Applied Econometrics Designed for M.S. and Ph.D. students who do not meet the prerequisites for other graduate-level econometrics courses. Complements AEM 4110, providing greater depth of understanding of econometric methods and exposure to applied econometric literature. Focuses on preparing students to conduct their own applied economic research. D. R. Just. Co-requisite: AEM 4110. Econometrics I This is an applied econometrics course with an extensive “hands-on” approach. It provides (together with AEM 7110) a graduate sequence in applied econometrics that is suitable for M.S. and PhD students. Covers linear and discrete choice models and estimation methods such as GMM and MLE. Programming using Stata or Matlab is expected. S. Li. matrix algebra and statistical methods courses at level of ILRST 3110 or ECON 6190 Econometrics II Coverage beyond AEM 7100 of dynamic models, including single-equation ARIMA, vector ARIMA, Kalman filtering, structural dynamic models, and regime switching. Topics include endogeneity, stability, causality, and cointegration. T. D. Mount. AEM 7100 or equivalent. Enrollment is limited to: juniors or seniors (priority given to AEM majors). No F lec in weeks labs are held. AEM7120 ASTRO6523 Fall Spring 4 4 Quantitative Methods I Comprehensive treatment of linear programming and its extensions, including postoptimality analysis. Topics include nonlinear programming, including separable, spatial equilibrium, and risk programming models. Discusses input-output models and their role in social accounting matrices and computable general equilibrium models. Makes applications to agricultural, resource, and regional economic problems. R. N. Boisvert. Signal Modeling, Statistical Inference, and Data Mining in Astronomy Aims to provide tools for modeling and detection of various kinds of signals encountered in the physical sciences and engineering. Data mining and statistical inference from large and diverse databases are also covered. Experimental design is to be discussed. Basic topics include probability theory; Fourier analysis of continuous and discrete signals; digital filtering; matched filtering and pattern recognition; spectral analysis; Karhunen-Loeve analysis; wavelets; parameter estimation; optimization techniques; Bayesian statistical inference; deterministic, chaotic, and stochastic processes; image formation and analysis; maximum entropy techniques. Specific applications are chosen from current areas of interest in astronomy, where large-scale surveys throughout the electromagnetic spectrum and using nonelectromagnetic signals (e.g., neutrinos and gravitational waves) are ongoing and anticipated. Applications are also chosen from topics in geophysics, plasma physics, electronics, artificial intelligence, expert systems, and genetic programming. The course is self-contained and is intended for students with thorough backgrounds in the physical sciences or engineering. J. Cordes. some formal training in matrix algebra. BEE4600 BIOMG4870 BIOMG6300 Fall Fall Spring Deterministic and Stochastic Modeling in Biological Engineering Covers modeling biological systems from an engineering standpoint. Starting with deterministic approaches, the course functionally decomposes and mathematically models systems important to biological engineers (including bioprocessing, biomedicine, and microbial ecology). Mechanistic aspects of biology are handled using stochastic (probabilistic) approaches in the second half of the semester. J. C. March. MATH 2930, MATH 2940, BEE 3500 or equivalent, Mass and Energy Balances, or permission of instructor. Satisfies BE capstone design requirement. 3 Human Genomics Applies fundamental concepts of transmission, population, and molecular genetics to the problem of determining the degree to which familial clustering of diseases in humans has a genetic basis. Emphasizes the role of full genome knowledge in expediting this process of gene discovery. Stresses the role of statistical inference in interpreting genomic information. Population genetics, and the central role of understanding variation in the human genome in mediating variation in disease risk, are explored in depth. Methods such as homozygosity mapping, linkage disequilibrium mapping, and admixture mapping are examined. The format is a series of lectures with classroom discussion. Assignments include a series of problem sets and a term paper A. Clark. BIOMG2810 3 Mathematical Analysis and Computationa l Statistics of the Molecular Cell Using case studies, we will explore how mathematical models and statistics can be used to generate and test biological hypotheses using Excel and Mathematica (no prior experience needed). One term of calculus, one term of statistics, familiarity with ordinary differential equations and linear algebra, and a laptop computer are required. D. Shalloway. 3 BIOMS7070 Spring 1 Current Research in Genomics This course will present students with faculty perspectives on current research in genomics. Lectures and/or practical exercises will be given by faculty with expertise in specific areas of genomics. The goal is to provide students with an overview of major questions in genomics that are being addressed in different areas of study. D. Lin. BME5400 Fall 3 Biomedical Computation The application of numerical and statistical methods to model biological systems and interpret biological data, using the MATLAB programming language. M. R. King. MATH 2930 and MATH 2940 (or equivalent), and introductory computer programming course. BTRY3010 Fall 4 Biological Statistics I See NTRES 3130. Staff. one semester of calculus. Biological Statistics II Applies linear statistical methods to quantitative problems addressed in biological and environmental research. Methods include linear regression, inference, model assumption evaluation, the likelihood approach, matrix formulation, generalized linear models, singlefactor and multifactor analysis of variance (ANOVA), and a brief foray into nonlinear modeling. Carries out applied analysis in a statistical computing environment. Staff. BTRY 3010 or BTRY 6010. See STSCI3080. M. T. Wells. See STSCI3100. Staff. two semesters of statistics. G. Hooker. BTRY 3080, enrollment in MATH 2220 and MATH 2240 or equivalents. BTRY3020 Spring 4 BTRY3080 Fall 4 BTRY3100 Fall 4 BTRY3520 Spring 4 Probability Models and Inference Statistical Sampling Statistical Computing This course is designed to provide students with an introduction to statistical computing. The class will cover the basics of programming; numerical methods for optimization and linear algebra and their application to statistical estimation, generating random variables, bootstrap, jackknife and permutation methods, Markov Chain Monte Carlo methods, Bayesian inference and computing with latent variables. BTRY4030 BTRY4090 BTRY4100 BTRY4140 BTRY4270 Fall Spring Spring Spring Fall, spring 3 4 Applied Linear Statistical Models via Matrices See STSCI 4030. Theory of Statistics Introduction to classical theory of parametric statistical inference that builds on the material covered in BTRY 4080. Topics include sampling distributions, principles of data reduction, likelihood, parameter estimation, hypothesis testing, interval estimation, and basic asymptotic theory. J. G. Booth. a second noncalculus course in statistics, preferably on multiple regression, and at least one semester of basic matrix (linear) algebra. Staff. BTRY 3080 or equivalent and at least one introductory statistics course. 4 Multivariate Analysis See STSCI 4100. Staff. ILRST 3120, STSCI 2200, or equivalent; some knowledge of matrix-based regression analysis. 4 [Statistical Methods IV: Applied Design] See STSCI 4120. Staff. STSCI 3200 or permission of instructor. Introduction to Survival Analysis Develops and uses statistical methods appropriate for analyzing right-censored (i.e., incomplete) time-toevent data. Topics covered include nonparametric estimation (e.g., life table methods, Kaplan Meier estimator), nonparametric methods for comparing the survival experience of two or more populations, and semiparametric and parametric methods of regression for censored outcome data. Substantial use is made of the R statistical software package. R. Strawderman. BTRY 4090, MATH 4720, or equivalent preparation; 3 semester of calculus. 3 BTRY4820 BTRY4830 BTRY4840 BTRY4940 Spring Spring Fall Fall, spring A. Keinan. MATH 1110 or equivalent. At least one previous course in statistical methods and at least one involving programming, or permission of instructor. Staff. BTRY 3080 and introductory statistics or equivalent. Computationa l Genomics Computational methods for genomic data, emphasizing comparative and evolutionary genomics. Topics include sequence alignment, gene and motif finding, phylogeny reconstruction, and gene regulatory networks. Meets concurrently with BTRY 6840. Staff. BTRY 3080 and at least one course in statistical methods and at least one in algorithms. Undergraduat e Special Topics in Biometry and Statistics Course of lectures selected by the faculty. Because topics usually change from year to year, this course may be repeated for credit. Staff. Statistical Genomics Statistical methods of genomic data, emphasizing coalescent theory and molecular population genetics and genomics. Topics include derivation of coalescent theory, tests of natural selection, population structure, and statistical inference, with a focus on the population genomics of human populations. Quantitative Genomics and Genetics A rigorous treatment of analysis techniques used to understand complex genetic systems. This course covers both the fundamentals and advances in statistical methodology used to analyze disease and agriculturally relevant and evolutionarily important phenotypes. Topics include mapping quantitative trait loci (QTLs), application of microarray and related genomic data to gene mapping, and evolutionary quantitative genetics. Analysis techniques include association mapping, interval mapping, and analysis of pedigrees for both single and multiple QTL models. Application of classical inference and Bayesian analysis approaches is covered and there is an emphasis on computational methods. Meets concurrently with BTRY 6830. 4 1-3 4 4 Co-meets with BTRY 6820. BTRY4970 Fall, spring 1-3 Undergraduat e Individual Study in Biometry and Statistics Consists of individual tutorial study selected by the faculty. Because topics usually change from year to year, this course may be repeated for credit. Staff. Students assist in teaching a course appropriate to their previous training. Students meet with a discussion or laboratory section and regularly discuss objectives with the course instructor. Staff. BTRY4980 Fall, spring 1-3 Undergraduat e Supervised Teaching BTRY4990 Fall, spring 1-3 Undergraduat e Research BTRY5080 Fall 4 Probability Models and Inference Staff. See STSCI 5080. M. T. Wells. Students must register using independent study form (available in 140 Roberts Hall). Students must register using independent study form (available in 140 Roberts Hall). statistics and biometry undergraduat e students. Permission of faculty member directing research is required. Students must register using independent study form (available in 140 Roberts Hall). BTRY6010 BTRY6020 BTRY6030 BTRY6070 Fall Spring Spring Fall Statistical Methods I Develops and uses statistical methods to analyze data arising from a wide variety of applications. Topics include descriptive statistics, point and interval estimation, hypothesis testing, inference for a single population, comparisons between two populations, one- and two-way analysis of variance, comparisons among population means, analysis of categorical data, and correlation and regression analysis. Introduces interactive computing through statistical software. Emphasizes basic principles and criteria for selection of statistical techniques. 4 4 4 4 Staff. Permission of instructor or graduate standing is required. Statistical Methods II Continuation of BTRY 6010. Emphasizes the use of multiple regression analysis, analysis of variance, and related techniques to analyze data in a variety of situations. Topics include an introduction to data collection techniques; least squares estimation; multiple regression; model selection techniques; detection of influential points, goodness-of-fit criteria; principles of experimental design; analysis of variance for a number of designs, including multi-way factorial, nested, and split plot designs; comparing two or more regression lines; and analysis of covariance. Emphasizes appropriate design of studies before data collection, and the appropriate application and interpretation of statistical techniques. Practical applications are implemented using a modern, widely available statistical package. Staff. BTRY 6010 or equivalent. Permission of instructor or graduate standing is required. Statistical Methods III: Categorical Data See STSCI4110. Staff. ILRST 3120, STSCI 2200, or equivalent. Principles of Probability and Statistics Topics include combinatorial probability, conditional probability and independence, random variables, standard distributions, maximum likelihood and Bayesian approaches. Emphasizes computational methods using R programming language. Staff. one year of calculus. Recommended prerequisite: some knowledge of multivariate statistics. BTRY6150 BTRY6520 BTRY6700 BTRY6790 Fall Spring Fall Fall 3 Applied Functional Data Analysis Functional data analysis studies data that may be thought of as continuously sampled smooth curves. The course focuses on extensions of standard statistical techniques to these data. Staff. 4 Computationa lly Intensive Statistical Methods See STSCI6520. Staff. Applied Bioinformatic s and Systems Biology An introductory course on tools and techniques for the analysis of molecular biological data, including biosequences, microarrays, and networks. This course emphasizes practical skills, as well as basic understanding of theories and algorithms for proper application of various techniques. Two different computer languages (R and Perl) will be introduced and used throughout the lectures and homework. Possible topics include sequence alignment, gene and motif finding, genome assembly, variant detection, demographic inference, detection of natural selection, association mapping, phylogeny reconstruction, microarray analysis, and methods for inferring and analyzing regulatory, protein-protein interaction, and metabolite networks. 4 4 Probabilistic Graphical Models A thorough introduction to probabilistic graphical models, a flexible and powerful graph-based framework for probabilistic modeling. Covers directed and undirected models, exact and approximate inference, and learning in the presence of latent variables. Hidden Markov models, conditional random fields, and Kalman filtering are explored in detail. BTRY 6010 and BTRY 6020 or permission of instructor. ORIE 6700 (or equivalent) and at least one course in probability, or approval of instructor. H. Yu, A. Keinan, and A. Siepel. introductory courses in computer programming and statistical methods are highly recommended. For those who do not have prior programming experience, please discuss with Dr. Yu about taking the course. Staff. probability theory (BTRY 3080 or equivalent), programming and data structures (CS 2110 or equivalent). Recommended prerequisite: course in statistical methods (BTRY 4090 or equivalent). Offered alternate years BTRY6820 BTRY6830 BTRY6840 BTRY6890 Spring Spring Fall Fall, spring 4 Statistical Genomics 4 Quantitative Genomics and Genetics 4 1 BTRY6940 Fall, spring 1-3 BTRY6970 Fall, spring 1-3 See BTRY4820. See BTRY4830. A. Keinan. MATH 1110 or equivalent. At least one previous course in statistical methods and at least one involving programming, or permission of instructor. Staff. BTRY 3080 and introductory statistics course or equivalent. Computationa l Genomics See BTRY4840. Staff. BTRY 3080 and at least one previous course in statistical methods and at least one in algorithms. Topics in Population Genetics and Genomics Graduate seminar on current topics in population genetic data analysis. Topics this semester may include detecting signatures of natural selection, estimating demographic parameters, and recombination rate variation from whole-genome data; statistical methods for association mapping; efficient methods for disease gene mapping; and use of comparative genomic data for population genetic inference. Readings are chosen primarily from current literature. Staff. BTRY 6820 or permission of instructor. Course of lectures selected by the faculty. Because topics usually change from year to year, this course may be repeated for credit. Staff. Individual tutorial study selected by the faculty. Because topics usually change from year to year, this course may be repeated for credit. Staff. Graduate Special Topics in Biometry and Statistics Individual Graduate Study in Biometry and Statistics Co-meets with BTRY 4820. (May be repeated for credit) BTRY7170 BTRY7180 BTRY7200 BTRY7210 BTRY7270 BTRY7900 Fall Fall Spring Fall Spring Fall, spring 3 Theory of Linear Models Properties of the multivariate normal distribution. Distribution theory for quadratic forms. Properties of least squares and maximum likelihood estimates. Methods for fixed-effect models of less than full rank. Analysis of balanced and unbalanced mixed-effects models. Restricted maximum likelihood estimation. Some use of software packages and illustrative examples 3 Generalized Linear Models A theoretical development of generalized linear models and related topics including generalized estimating equations, and generalized linear mixed models. 1 Topics in Computationa l Genomics Weekly seminar series on recent advances in computational genomics. A selection of the latest papers in the field are read and discussed. Methods are stressed, but biological results and their significance are also addressed. 1 Topics in Quantitative Genomics Weekly seminar series on recent advances in quantitative genomics. A selection of the latest papers in the field is read and discussed. Methods are stressed, but biological results and their significance are also addressed. 3 Advanced Survival Analysis 1-9 GraduateLevel Dissertation Research Focuses on the rigorous development of nonparametric, semiparametric, and parametric modeling and statistical inference procedures appropriate for analyzing right censored data. Research at the Ph.D. level. Staff. BTRY 4090, BTRY 6020, or equivalents. G. Hooker. BTRY 6020, BTRY 4090, or equivalent. Staff. BTRY 4840/BTRY 6840 or permission of instructor. Staff. BTRY 4830/BTRY 6830 or permission of instructor. Staff. at least one graduate-level course in probability, mathematical statistics, and regression modeling. Staff. Permission of graduate field member concerned is required. Primarily for Ph.D. students in statistics. Enrollment is limited to: Ph.D. candidates. BTRY7950 BTRY7980 BTRY8900 BTRY9900 CEE3040 Fall, spring Fall, spring Fall, spring Fall, spring Fall 2-3 Statistical Consulting 2-4 Graduate Supervised Teaching 1-9 Master’sLevel Thesis Research 1-9 DoctoralLevel Dissertation Research 4 Uncertainty Analysis in Engineering Participation in the Cornell Statistical Consulting Unit: faculty-supervised statistical consulting with researchers from other disciplines. Discussion sessions are held for joint consideration of literature and selected consultations encountered during previous weeks. Students assist in teaching a course appropriate to their previous training. Students meet with a discussion section, prepare course materials, and assist in grading. Credit hours are determined in consultation with the instructor, depending on the level of teaching and the quality of work expected. Research at the M.S. level. Staff. Prerequisite or co-requisite: BTRY 6020 and BTRY 4090. Permission of instructor is required. Staff. at least two advanced courses in statistics and biometry. Permission of instructor and chair of special committee is required. Staff. Permission of graduate field member concerned is required. Staff. Introduction to probability theory and statistical techniques, with examples from civil, environmental, biological, and related disciplines. Covers data presentation, commonly used probability distributions describing natural phenomena and material properties, parameter estimation, confidence intervals, hypothesis testing, simple linear regression, and nonparametric statistics. Examples include structural reliability, windspeed/flood distributions, pollutant concentrations, and models of vehicle arrivals. J. R. Stedinger. first-year calculus Enrollment is limited to: M.S. candidates. CEE5290 CEE7710 COMM2820 Fall Fall Fall ## Heuristic Methods for Optimization (also CS 5722, ORIE 5340) Teaches heuristic search methods including simulated annealing, tabu search, genetic algorithms, derandomized evolution strategy, and random walk developed for optimization of combinatorial- and continuous-variable problems. Application project options include wireless networks, protein folding, job shop scheduling, partial differential equations, satisfiability, or independent projects. Statistical methods are presented for comparing algorithm results. Advantages and disadvantages of heuristic search methods for both serial and parallel computation are discussed in comparison with other optimization algorithms. C. A. Shoemaker. graduate standing or CS 2110/ENGRD 2110; ENGRD 3200 or permission of instructor. 3 Stochastic Problems in Science and Engineering Review of probability theory, stochastic processes, and Ito formula with illustrations by Monte Carlo Simulation. M. D. Grigoriu permission of instructor Research Methods in Communicati on Studies (SBA) Covers social scientific methods to solve communication research problems empirically. Topics include basic principles of social scientific research, random sampling, questionnaire design, experimental research design, focus group techniques, content analysis, and basic descriptive and inferential statistics. Students also learn basic data manipulation, presentation, and analysis techniques using SPSS and EXCEL. The course covers social scientific methods to solve communication research problems empirically. Topics include basic principles of social scientific research, random sampling, questionnaire design, experimental research design, focus group techniques, content analysis, and basic descriptive and inferential statistics. Students will also learn basic data manipulation, presentation. and analysis techniques using SPSS and EXCEL. J. Niederdeppe. Enrollment is limited to: sophomores. 3 CRP5450 Fall or Spring 3 Inferential Statistics for Planning and Public Policy This course is an introduction to the inferential statistical methods and econometrics/regression analysis needed to understand empirical public policy and planning research and to do basic applied public policy analysis. The statistical concepts are illustrated using data and examples primarily from the fields of public policy and planning. N. Brooks. I. Azis. - CRP6220 Spring 3 Planning Policy and Analysis The course is designed to familiarize students with the essence of planning models and equip them with analytical tools to undertake a practical quantitative policy and planning analysis. Two categories of models to be discussed are: (1) economy-wide models that capture complete interactions between economic and social indicators such as income distribution and poverty; and (2) non-Bayesian decision-making models that combine intangibles and subjective judgments with statistical data and other tangible actors, and that can also capture feedback influences. CRP6290 - - Quantitative Methods Analysis Topics TBA. CS6782 Fall 4 Probabilistic Graphical Models see BTRY6790 Staff. probability theory (BTRY 3080 or equivalent), programming and data structures (CS 2110 or equivalent); a course in statistical methods is recommended but not required (BTRY 4090 or equivalent). CSS6200 CSS6210 DSOC3140 Spring Spring Fall 3 Spatial Modeling and Analysis Theory and practice of applying geo-spatial data for resource inventory and analysis, biophysical process modeling, and land surveys. Emphasizes use and evaluation of spatial analytical methods applied to agronomic and environmental systems and processes. Laboratory section is used to process, analyze, and visualize geo-spatial data of interest to the student, ending in a comprehensive student project. 2 Applications of Space– Time Statistics Spatial Thinking, GIS, and Related Methods (SBA) (KCM) 4 D. G. Rossiter. CSS 4110 or CSS 4200, or equivalent or permission of instructor. Introduction to space-time statistics with applications in agriculture and environmental management. Topics include geostatistics, temporal statistics, sampling, experimental design, state-space analysis, data mining, and fuzzy logic. H. Van Es. BTRY 6010 or equivalent. Everything occurs in space. Knowing where organizations are located and events occur in space provides clues to understanding social order and processes not revealed by traditional social analysis techniques. At the same time, spatial thinking and methods are becoming increasingly used in the social sciences. The purpose of this course is to introduce the undergraduate to both aspects of spatial patterns, trends, and themes but also to methodologies for bringing spatial considerations into their research. The course provides a practical introduction to GIS via lab assignments. J. Francis. S-U grades only. Offered alternate years. Letter grades only. DSOC5600 DSOC6190 Spring Fall 4 4 Analytical Mapping and Spatial Modeling (also CRP 6290) (SBA) The goal of this course is to introduce students in the social sciences and related fields to geographic information systems and spatial statistics as a set of tools to complement traditional analysis methods. Spatial relationships have become increasingly recognized as important in socioeconomic, political and demographic analysis. Recent research in these fields have demonstrated that understanding spatial relationships, in addition to other factors that account for differences and similarities between people and organizations, significantly increase our explanatory power. The first part of the course focuses on various features of GIS which are most useful to social scientists in their endeavors. The second part of the course introduces spatial statistics which further this understanding as well as control for spatial autocorrelation when it exists. J. Francis. Quantitative Research Methods Graduate-level course in measurement and analysis of survey, demographic, and observational data. Topics include linear regression, analysis of variance, and analysis of covariance with both continuous and categorically coded variables. Introduces logistic regression and some nonlinear models. Gives special attention to handling ordered and unordered categorical data as these are prevalent in social/demographic data sets. Analyzes data from real surveys like the American National Election Studies and the General Social Surveys using programs like SAS and SPSS. Includes labs and writing programs to analyze these data. Students familiarize themselves with data cleaning, missing data estimation, transformations, subsetting, and other data handling procedures. D. Gurak. statistics course. Letter grades only. DSOC7190 EAS4350 Spring Fall 4 3 Advanced Regression and Spatial Statistics This course will cover two topics, logistic regression and spatial linear regression. The course opens with a brief review of multiple regression theory and procedures. Then a little more than half the semester is devoted to logistic regression modeling. Spatial linear regression will be covered in five weeks of the semester. As both of these techniques are based on maximum likelihood procedures, some time will be devoted to an overview of maximum likelihood procedures. Statistical Methods in Meteorology and Climatology Statistical methods used in climatology, operational weather forecasting, and selected meteorological research applications. Statistical characteristics of meteorological data, including probability distributions, correlation structures and their implications for statistical inference. Covers operational forecasts derived from multiple regression models, including the MOS system; and forecast evaluation techniques. J. Francis. D. Wilks. one introductory course each in statistics (e.g., AEM 2100) and calculus. Co-meets with EAS 5350. ECE3100 ECE4110 ECE5640 Fall, summer Fall Fall 4 Introduction to Probability and Inference for Random Signals and Systems Introduction to probabilistic techniques for modeling random phenomena and making estimates, inferences, predictions, and engineering decisions in the presence of chance and uncertainty. Probability measures, classical probability and combinatorics, countable and uncountable sample spaces, random variables, probability mass functions, probability density functions, cumulative distribution functions, important discrete and continuous distributions, functions of random variables including moments, independence and correlation, conditional probability, Total Probability and Bayes’ rule with application to random system response to random signals, characteristic functions and sums of random variables, the multivariate Normal distribution, maximum likelihood and maximum a posteriori estimation, NeymanPearson and Bayesian statistical hypothesis testing, Monte Carlo simulation. Applications in communications, networking, circuit design, device modeling, and computer engineering. Staff. MATH 2940, PHYS 2213, or equivalents. 4 Random Signals in Communicati ons and Signal Processing Introduction to models for random signals in discrete and continuous time; Markov chains, Poisson process, queuing processes, power spectral densities, Gaussian random process. Response of linear systems to random signals. Elements of estimation and inference as they arise in communications and digital signal processing systems. Staff. ECE 2200 and ECE 3100 or equivalent. Statistical Inference and Decision Graduate-level introduction to fundamentals of signal detection and estimation with applications in communications. Elements of decision theory. Sufficient statistics. Signal detection in discrete and continuous time. Multiuser detection. Parameter estimations. Applications in wireless communications. Staff. ECE 3100, ECE 4110, or permission of instructor. 4 ECE5650 ECON3190 ECON3200 ECON3210 Fall Fall Spring Fall, spring, summer 4 4 4 4 Statistical Signal Processing and Learning This course introduces fundamental theories and practical ideas in statistical signal processing and learning. Specific topics include Bayesian inference, Wiener and Kalman filters, predictions, graphical models, point estimation theory, maximum likelihood methods, moment methods, Cram´er-Rao bound, least squares and recursive least squares, supervised and unsupervised learning techniques. Introduction to Statistics and Probability Provides an introduction to statistical inference and to principles of probability. It includes descriptive statistics, principles of probability, discrete and continuous distributions, and hypothesis testing (of sample means, proportions, variance). Regression analysis and correlation are introduced. Introduction to Econometrics Introduction to the theory and application of econometric techniques. How econometric models are formulated, estimated, used to test hypotheses, and used to forecast; understanding economists’ results in studies using regression model, multiple regression model, and introduction to simultaneous equation models. Applied Econometrics Provides an introduction to statistical methods and principles of probability. Topics include analysis of data, probability concepts and distributions, estimation and hypothesis testing, regression, correlation and time series analysis. Applications from economics are used to illustrate the methods covered in the course. Staff. Staff. Staff. Staff. ECE 3100 or ECE 3250 ECON 1110– ECON 1120 and MATH 1110– MATH 1120. Forbidden Overlap: Students who take ECON 3190 may not receive credit for MATH 4710, MATH 4720, BTRY 3080/ILRST 3080/STSCI 3080, BTRY 4090/STSCI 4090. ECON 1110– ECON 1120, ECON 3190, or equivalent. Forbidden Overlap: Students may not receive credit for both ECON 3200 and ECON 3210. ECON 1110– ECON 1120 and calculus. Forbidden Overlap: Students may not receive credit for both ECON 3200 and ECON 3210. ECON6190 ECON6200 ECON7190 ECON7200 Fall Spring Fall Spring 4 4 4 4 Econometrics I Gives the probabilistic and statistical background for meaningful application of econometric techniques. Topics include probability theory probability spaces, random variables, distributions, moments, transformations, conditional distributions, distribution theory and the multivariate normal distribution, convergence concepts, laws of large numbers, central limit theorems, Monte Carlo simulation; statistics: sample statistics, sufficiency, exponential families of distributions. Further topics in statistics are considered in ECON 6200. Staff. ECON 3190– ECON 3200 or permission of instructor. Econometrics II A continuation of ECON 6190 (Econometrics I) covering statistics: estimation theory, least squares methods, method of maximum likelihood, generalized method of moments, theory of hypothesis testing, asymptotic test theory, and nonnested hypothesis testing; and econometrics: the general linear model, generalized least squares, specification tests, instrumental variables, dynamic regression models, linear simultaneous equation models, nonlinear models, and applications. Staff. ECON 6190. Advanced Topics in Econometrics I Covers advanced topics in econometrics, such as asymptotic estimation and test theory, robust estimation, Bayesian inference, advanced topics in time-series analysis, errors in variable and latent variable models, qualitative and limited dependent variables, aggregation, panel data, and duration models. Staff. ECON 6190– ECON 6200 or permission of instructor. Advanced Topics in Econometrics II Covers advanced topics in econometrics, such as asymptotic estimation and test theory, robust estimation, Bayesian inference, advanced topics in time-series analysis, errors in variable and latent variable models, qualitative and limited dependent variables, aggregation, panel data, and duration models. Staff. ECON 6190– ECON 6200 or permission of instructor. EDUC5630 ENGRD2700 GOVT6019 Fall Fall, spring, summer Fall 3 3 4 Using Statistics to Explore Social Policy Builds on students’ statistical knowledge to collaboratively design and carry out studies using a national dataset. Students combine their knowledge with readings and guest speakers to better understand the purposes and limitations of various methods. This course is for students who struggle to use their statistical knowledge in a practical and valuable way. J. Sipple. Basic Engineering Probability and Statistics Gives students a working knowledge of basic probability and statistics and their application to engineering. Includes computer analysis of data and simulation. Topics include random variables, probability distributions, expectation, estimation, testing, experimental design, quality control, and regression. Staff. Introductory, Probability and Applied Statistics The goal of this course is to introduce probability and statistics as fundamental building blocks for quantitative political analysis, with regression modeling as a focal application. We will begin with a brief survey of probability theory, types of measurements, and descriptive statistics. The bulk of the course then addresses inferential statistics, covering in detail sampling, methods for estimating unknown quantities, and methods for evaluating competing hypotheses. We will see how to formally assess estimators, and some basic principles that help to ensure optimality. Along the way, we will introduce the use of regression models to specify social scientific hypotheses, and employ our expanding repertoire of statistical concepts to understand and interpret estimates based on our data. Weekly homework assignments require students to deploy the methods both ‘by hand’ so they can grasp the basic mathematics, and by computer to meet the conceptual demands of non-trivial examples and prepare for independent research. Some time will be spent reviewing algebra, calculus, and elementary logic, as well as introducing computer statistical packages. B. Corrigan minimum one and preferably two statistics courses (second course may be taken concurrently) or permission of instructor. MATH 1910 and MATH 1920. MATH 2940 should be completed before or concurrently with ENGRD 2700. GOVT6029 HADM2010 Spring Fall, spring 4 3 Methods of Political Analysis II This course builds upon 6019, covering in detail the interpretation and estimation of multivariate linear regression models. We derive the Ordinary Least Squares estimator and its characteristics using matrix algebra and determine the conditions under which it achieves statistical optimality. We then consider the circumstances in social scientific contexts which commonly lead to assumption violations, and the detection and implications of these problems. This leads to modified regression estimators that can offer limited forms of robustness in some of these cases. Finally, we briefly introduce likelihood-based techniques that incorporate assumptions about the distribution of the response variable, focusing on logistic regression for binary dependent variables. Students are expected to produce a research paper built around a quantitative analysis that is suitable for presentation at a professional conference. Some time will be spent reviewing matrix algebra, and discussing ways to implement computations using statistical software. B. Corrigan Hospitality Quantitative Analysis This introductory statistics course is taught from the perspective of solving problems and making decisions within the hospitality industry. Students learn introductory probability, as well as how to gather data, evaluate the quality of data, graphically represent data, and apply some fundamental statistical methodology. Statistical methods covered include estimation and hypothesis testing relating to one- and two-sample problems of means, simple linear regression, and multiple regression. Problems involving multiple means (one-way ANOVA) are covered as a special case of multiple regression, time allowing. Excel is used as the statistical computing software. R. Lloyd. high school algebra. Required. Letter grades only. HADM3010 HADM9980 HD2830 Fall, spring Fall Fall 3 3 3 Service Operations Management Students are introduced to statistical and operations research methods that are appropriate for the hospitality industry. The goal of the course is to provide students with the skills and understanding necessary for making decisions using quantitative data. Students use computer spreadsheet software extensively. A key requirement of the course is an ability to communicate the results of analyses in a clear manner. Topics include probability, decision analysis, modeling, forecasting, quality management, process design, waiting lines, and project management. C. Anderson, S. Kimes, and G. Thompson. Letter grades only. Required. Limited to 70 Hotel students per lecture. Real Research and Fake Data This course is a doctoral seminar about using simulation to conduct research. The purpose of the course is to provide students with the skills, ability, and motivation to conduct research using computer simulation. Students will learn how to conduct both theoretical and methodological research using simulation. The course will focus on the use of microanalytic simulation (and not agent-based modeling). Students should be capable of writing and publishing a paper using this research design and methodology upon completion of the course M. Sturman. Elective. Research Methods in Human Development This course will introduce students to the basics of research design and will review several methodologies in the study of human development. The focus of the course will be on descriptive and experimental methods. Students will learn the advantages and challenges to different methodological approaches. The course also places an emphasis on developing students’ scientific writing and strengthening their understanding of statistics. M. Casasola Recommended prerequsite: HD 1150. Priority given to HD majors. HD6130 ILRHR9630 Spring Fall, spring. 3 Hierarchical Linear Modeling This is a graduate seminar designed to provide students with an introductory background in the basic principles and applications of hierarchical linear modeling (HLM) in developmental research. HLM is a class of models that allows researchers to study a variety of phenomena at different conceptual levels, including individual outcomes nested within classrooms, schools, or other groups (two-level models, and growth in outcomes over time nested within individuals and within classrooms, schools, or other groups (three-level models). 3 Research Methods in HRM/Strategi c Human Resource Management Designed to build social science research skills, particularly in the area of human resource studies (HRS). Topics include measurement reliability, construct validity, design of studies, external validity, meta-analysis, critiquing/reviewing HRS research, publishing HRS research, and applications of statistical models of HRS issues. A. Ong. Staff. Letter grades only. Ph.D. Candidates. ILRLE7400 ILRLE7410 Spring Fall 4 4 Social and Economic Data Teaches the basics required to acquire and transform raw information into social and economic data. Graduate materials emphasize methods for creating and certifying laboratories in which data privacy and confidentiality concerns can be controlled and audited. Legal, statistical, computing, and social science aspects of the data “manufacturing” process are treated. The formal U.S., Eurostat, OECD, and UN statistical infrastructure are covered as are major private data sources. Topics include basic statistical principles of populations and sampling frames; acquiring data via samples, censuses, administrative records, and transaction logging; the law, economics, and statistics of data privacy and confidentiality protection; data linking and integration techniques (probabilistic record linking; multivariate statistical matching); analytic methods in the social sciences. Graduate students are assumed to be interested in applying these techniques to original research in an area of specialization, and are required to do individual projects. This class may be taught to students at Cornell and other universities whose emphasis is placed on U.S. Census Bureau procedures. Applied Econometrics I Considers methods for the analysis of longitudinal data, that is, data in which a set of individual units are followed over time. Focuses on both estimation and specification testing of these models. Students consider how these statistical models are linked to underlying theories in the social sciences. Course coverage includes panel data methods (e.g., fixed, random, mixed effects models), factor analysis, measurement error models, and general moment structure methods. J. Abowd. G. Jakubson graduate Ph.D.level sequence in econometrics or permission of instructor. ILRLE7420 ILRST2100 ILRST2110 Spring Fall, spring, summer Fall, spring Applied Econometrics II (also ECON 7492) Continues from ILRLE 7410 and covers statistical methods for models in which the dependent variable is not continuous. Covers models for dichotomous response (including probit and logit); polychotomous response (including ordered response and multinomial logit); various types of censoring and truncation (e.g., the response variable is only observed when it is greater than a threshold); and sample selection issues. Includes an introduction to duration analysis. Covers not only the statistical issues but also the links between behavioral theories in the social sciences and the specification of the statistical model. 4 Introductory Statistics Statistics is about understanding the world through data. We are surrounded by data, so there is a lot to understand. Covers data exploration and display, data gathering methods, probability, and statistical inference methods through contingency tables and linear regression. The emphasis is on thinking scientifically, understanding what is commonly done with data (and doing some of it for yourself), and laying a foundation for further study. Students learn to use statistical software and simulation tools to discover fundamental results. They use computers regularly; the test includes both multimedia materials and a software package. This course does not focus on data from any particular discipline, but will use real-world examples from a wide variety of disciplines and current events. 3 Statistical Methods for the Social Sciences II A second course in statistics that emphasizes applications to the social sciences. Topics include simple linear regression, multiple linear regression (theory, model building, and model diagnostics), and the analysis of variance. Computer packages are used extensively. 4 G. Jakubson ILRLE 7410 or permission of instructor. L. Karns, P. Velleman, and M. Wells. introductory algebra. T. Diciccio. ILRST 2100 or equivalent introductory statistics course. Forbidden Overlap: Students may receive credit for only one course in the following group: AEM 2100, ILRST 2100/STSCI 2100, MATH 1710, PAM 2100, PSYCH 3500, SOC 3010. ILRST2130 ILRST2150 Fall Fall 3 4 ILRST2200 Fall 3 ILRST3080 Fall 4 ILRST3100 Fall 4 Regression Methods Overview Builds on the introduction to statistics course by considering multivariate regression methods. Application of the methods is explored through the analysis of data found by each student. Topics include: regression inference, indicator variables, analysis of outliers, interaction terms, interpretation, and presentation. Analysis process and interpretation will be emphasized rather than specific research results. Students will present their final models in class. L. Karns. ILRST 2100 or equivalent. Limited to 20 students. Statistical Applications in Law and Policy Covers the practical aspects of quantitative research in law and policy (occupational and environmental health, product liability, and employment discrimination). Students evaluate the existing literature on a topic, analyze statistical merits, and make quantitative arguments. Standards of evidence will be considered. Required weekly writing assignments, a preliminary paper, and a final paper. Final oral presentations. L. Karns. ILRST 2100. Sophomore writing course. Occupational Epidemiology Occupational epidemiology is the investigation of workplace health issues requiring knowledge of medicine, organizational structures, industrial hygiene, and human behavior. An introduction to occupational epidemiology through exploration of research design (cohort, case-control, and crosssectional), exposure assessment, and statistical evaluation of the health issue. Students will use odds ratios, relative risk, and logistic regression models to measure the relationship between exposure and outcome. All students will select a topic area of interest, summarize current knowledge, and develop a research design protocol for future implementation. L. Karns. ILRST 2100 or equivalent. See STSCI3080. Staff. See STSCI3100. J. Bunge. Probability Models and Inference Statistical Sampling two semesters of statistics. ILRST3110 ILRST3120 ILRST4100 ILRST4110 ILRST4140 Fall Spring Spring Spring Spring 4 4 4 4 4 Practical Matrix Algebra Matrix algebra is a necessary tool for statistics courses such as regression and multivariate analysis and for other “research methods” courses in various other disciplines. This course provides students in various fields of knowledge with a basic understanding of matrix algebra in a language they can easily understand. Topics include special types of matrices, matrix calculations, linear dependence and independence, vector geometry, matrix reduction (trace, determinant, norms), matrix inversion, linear transformation, eigenvalues, matrix decompositions, ellipsoids and distances, and some applications of matrices. J. Bunge. Applied Regression Methods Reviews matrix algebra necessary to analyze regression models. Covers multiple linear regression, analysis of variance, nonlinear regression, and linear logistic regression models. For these models, least squares and maximum likelihood estimation, hypothesis testing, model selection, and diagnostic procedures are considered. Illustrative examples are taken from the social sciences. Computer packages are used. P. Velleman. ILRST 2100 or equivalent. See STSCI4100. Staff. ILRST 3120, STSCI 2200, or equivalent; some knowledge of matrix-based regression. See STSCI4110. T. Diciccio. ILRST 3120, STSCI 2200, or equivalent. Staff. BTRY 6010 and BTRY 6020 or permission of instructor. Multivariate Analysis Statistical Methods III: Categorical Data Statistical Methods IV: Applied Design See STSCI4120. ILRST4550 ILRST4950 ILRST4970 Spring Fall, spring Fall, spring 4 4 4 Applied Time Series Analysis See STSCI4550. Staff. Honors Program Students are eligible for ILR senior honors program if they (1) earn a minimum 3.700 cumulative gpa at end of junior year; (2) propose an honors project, entailing research leading to completion of a thesis, to an ILR faculty member who agrees to act as thesis supervisor; and (3) submit project, endorsed by proposed faculty sponsor, to Committee on Academic Standards and Scholarships. Accepted students embark on a twosemester sequence. The first semester consists of determining a research design, familiarization with germane scholarly literature, and preliminary data collection. The second semester involves completion of the data collection and preparation of the honors thesis. At the end of the second semester, the candidate is examined orally on the completed thesis by a committee consisting of the thesis supervisor, a second faculty member designated by the appropriate department chair, and a representative of the Academic Standards and Scholarship Committee. Staff. Field Research All requests for permission to register for an internship must be approved by the faculty member who will supervise the project and the chairman of the faculty member’s academic department before submission for approval by the director of off-campus credit programs. Upon approval of the internship, the Office of Student Services will register each student for 4970, for 4 credits graded A+ to F for individual research, and for ILRST 4980 , for 8 credits graded S–U, for completion of a professionally appropriate learning experience, which is graded by the faculty sponsor. Staff. STSCI 3080, STSCI 4030 (or equivalent) or permission of instructor. Letter grades only. ILRST4980 Fall, spring 8 Field Research, Internship All requests for permission to register for an internship must be approved by the faculty member who will supervise the project and the chairman of the faculty member’s academic department before submission for approval by the director of off-campus credit programs. Upon approval of the internship, the Office of Student Services will register each student for ILRST 4970 , for 4 credits graded A+ to F for individual research, and for 4980, for 8 credits graded S–U, for completion of a professionally appropriate learning experience, which is graded by the faculty sponsor. Staff. Staff. Staff. ILRST4990 Fall, spring 1-4 Directed Studies Students are eligible for ILR senior honors program if they (1) earn a minimum 3.700 cumulative gpa at end of junior year; (2) propose an honors project, entailing research leading to completion of a thesis, to an ILR faculty member who agrees to act as thesis supervisor; and (3) submit project, endorsed by proposed faculty sponsor, to Committee on Academic Standards and Scholarships. Accepted students embark on a twosemester sequence. The first semester consists of determining a research design, familiarization with germane scholarly literature, and preliminary data collection. The second semester involves completion of the data collection and preparation of the honors thesis. At the end of the second semester, the candidate is examined orally on the completed thesis by a committee consisting of the thesis supervisor, a second faculty member designated by the appropriate department chair, and a representative of the Academic Standards and Scholarship Committee. ILRST5080 Fall 4 Probability Models and Inference See STSCI5080. S-U grades only. ILRST5100 ILRST5110 ILRST5150 ILRST6100 Fall, spring Fall, spring Fall, spring Fall 3 Statistical Methods for the Social Sciences I A first course in statistics for graduate students in the social sciences. Descriptive statistics, probability and sampling distributions, estimation, hypothesis testing, simple linear regression, and correlation. Students are instructed on the use of a statistics computer package at the beginning of the term and use it for weekly assignments. T. DiCiccio. 3 Statistical Methods for the Social Sciences II Second course in statistics that emphasizes applications to the social sciences. Topics include simple linear regression, multiple linear regression (theory, model building, and model diagnostics), and the analysis of variance. Computer packages are used extensively. T. DiCiccio. Statistical Research Methods Students learn basic skills for conducting qualitative and survey research. They work through an introductory review course at home on their own time. After passing an exam, they attend a two-week immersion course in Ithaca taught by the on-campus faculty in July. Topics include an introduction to surveys and discrete analysis, basic regression, and integration of qualitative and quantitative research methods. Statistical Methods I Develops and uses statistical methods to analyze data arising from a wide variety of applications. Topics include descriptive statistics, point and interval estimation, hypothesis testing, inference for a single population, comparisons between two populations, one-and two-way analysis of variance, comparisons among population means, analysis of categorical data, and correlation and regression analysis. Introduces interactive computing through statistical software. Emphasizes basic principles and criteria for selection of statistical techniques. 4 4 Offered only in New York City for M.P.S. Program. Staff. Staff. Permission of instructor or graduate standing is required. ILRST6140 ILRST6190 Spring Fall 3 3 ILRST7100 Spring 3 ILRST7990 Fall, spring 1-9 INFO2950 Spring 4 Structural Equations with Latent Variables Provides a comprehensive introduction to the general structural equation system, commonly known as the “LISREL model.” One purpose of the course is to demonstrate the generality of this model. Rather than treating path analysis, recursive and nonrecursive models, classical econometrics, and confirmatory factor analysis as distinct and unique, the instructor treats them as special cases of a common model. Another goal of the course is to emphasize the application of these techniques. Topics in Social Statistics Special Topics in Social Statistics Directed Studies Mathematical Methods for Information Science J. Bunge. ILRST 2100, ILRST 5110, ILRST 5100 or equivalent. The areas of study are determined each semester by the instructor offering the seminar. Topics may include hierarchical linear models, the multivariate normal and Wishart distributions, multivariate sampling, tests of mean and covariance, multivariate regression, principal components, factor analysis, canonical correlation, robustness, and bootstrap confidence regions and tests. J. Bunge. A second course in (non-calculusbased) statistics such as multiple regression. Areas of study are determined each semester by the instructor offering the seminar. M. Wells. For individual research conducted under the direction of a member of the faculty. Staff. Teaches basic mathematical methods for information science. Topics include graph theory, discrete probability, Bayesian methods, finite automata, Markov models, and hidden Markov models. Uses examples and applications from various areas of information science such as the structure of the web, genomics, natural language processing, and signal processing. Staff. Graduate students only. MATH 2310 or equivalent. MATH1102 MATH1710 Fall Fall, spring, summer 1 4 Introduction to Statistical Methods MATH 1102 is a preparatory course for finite mathematics and applied introductory-level statistics courses. The course introduces basic probability laws, descriptive statistics, linear regression, and probability distributions. The probability and statistics content of the course is similar to 1/3 of the content covered in the above-mentioned courses. In addition, MATH 1102 includes a variety of topics of algebra, with emphasis on the development of linear, power, exponential and logarithmic functions and their applications to curve fitting. Statistical Theory and Application in the Real World (MQR) Introductory statistics course discussing techniques for analyzing data occurring in the real world and the mathematical and philosophical justification for these techniques. Topics include population and sample distributions, central limit theorem, statistical theories of point estimation, confidence intervals, testing hypotheses, the linear model, and the least squares estimator. The course concludes with a discussion of tests and estimates for regression and analysis of variance (if time permits). The computer is used to demonstrate some aspects of the theory, such as sampling distributions and the Central Limit Theorem. In the lab portion of the course, students learn and use computer-based methods for implementing the statistical methodology presented in the lectures. Staff. Staff. high school mathematics. No previous familiarity with computers presumed. Due to an overlap in content, students will forfeit credit for MATH 1102 upon completion of MATH 1105 or an introductory statistics course (AEM 2100, BTRY 3010, HADM 2010 (formerly 2201), ILRST 2100/STSCI 2100, MATH 1710, PAM 2100, or PSYCH 3500). No credit for MATH 1710 if taken after ECON 3190, ECON 3200, ECON 3210, MATH 4720, or any other upper-level course focusing on the statistical sciences (e.g., those counting toward the statistics concentration for the math major). MATH4410 MATH4420 Fall Spring 4 4 Introduction to Combinatoric s I (MQR) Combinatorics is the study of discrete structures that arise in a variety of areas, particularly in other areas of mathematics, computer science, and many areas of application. Central concerns are often to count objects having a particular property (e.g., trees) or to prove that certain structures exist (e.g., matchings of all vertices in a graph). The first semester of this sequence covers basic questions in graph theory, including extremal graph theory (how large must a graph be before one is guaranteed to have a certain subgraph) and Ramsey theory (which shows that large objects are forced to have structure). Variations on matching theory are discussed, including theorems of Dilworth, Hall, König, and Birkhoff, and an introduction to network flow theory. Methods of enumeration (inclusion/exclusion, Möbius inversion, and generating functions) are introduced and applied to the problems of counting permutations, partitions, and triangulations. Introduction to Combinatoric s II (MQR) Continuation of MATH 4410, although formally independent of the material covered there. The emphasis here is the study of certain combinatorial structures, such as Latin squares and combinatorial designs (which are of use in statistical experimental design), classical finite geometries and combinatorial geometries (also known as matroids, which arise in many areas from algebra and geometry through discrete optimization theory). There is an introduction to partially ordered sets and lattices, including general Möbius inversion and its application, as well as the Polya theory of counting in the presence of symmetries. Staff. MATH 2210, MATH 2230, MATH 2310, or MATH 2940. Staff. MATH 2210, MATH 2230, MATH 2310, or MATH 2940. MATH4710 MATH4720 MATH4740 Fall Spring Spring 4 4 4 Basic Probability (MQR) Introduction to probability theory, which prepares the student to take MATH 4720. The course begins with basics: combinatorial probability, mean and variance, independence, conditional probability, and Bayes formula. Density and distribution functions and their properties are introduced. The law of large numbers and the central limit theorem are stated and their implications for statistics are discussed. Statistics Statistics have proved to be an important research tool in nearly all of the physical, biological, and social sciences. This course serves as an introduction to statistics for students who already have some background in calculus, linear algebra, and probability theory. Topics include parameter estimation, hypothesis testing, and linear regression. The course emphasizes both the mathematical theory of statistics and techniques for data analysis that are useful in solving scientific problems. Stochastic Processes A one-semester introduction to stochastic processes which develops the theory together with applications. The course will always cover Markov chains in discrete and continuous time and Poisson processes. Depending upon the interests of the instructor and the students, other topics may include queuing theory, martingales, Brownian motion, and option pricing. Staff. one year of calculus. Recommended: some knowledge of multivariate calculus. Staff. MATH 4710 and knowledge of linear algebra (e.g., MATH 2210). Recommended: some knowledge of multivariable calculus. Staff. MATH 4710, BTRY 3080, ORIE 3500, or ECON 3190 and some knowledge of matrices (multiplication and inverses). This course may be useful to graduate students in the biological sciences or other disciplines who encounter stochastic models in their work but who do not have the background for more advanced courses such as ORIE 6500. Forbidden Overlap: Students will receive credit for only one course among BTRY 3080/ILRST 3080/STSCI 3080, ECON 3190, MATH 4710. Forbidden Overlap: Students will receive credit for only one course among BTRY 4090/STSCI 4090, ECON 3190, MATH 4720 MATH6410 MATH6710 MATH6720 MATH6740 Spring Fall Spring Spring 4 4 4 4 Enumerative Combinatoric s An introduction to enumerative combinatorics from an algebraic, geometric and topological point of view. Topics include, but are not limited to, permutation statistics, partitions, generating functions, various types of posets and lattices (distributive, geometric, and Eulerian), Möbius inversion, face numbers, shellability, and relations to the Stanley-Reisner ring. Staff. Probability Theory I A mathematically rigorous course in probability theory which uses measure theory but begins with the basic definitions of independence and expected value in that context. Law of large numbers, Poisson and central limit theorems, and random walks. Staff. knowledge of Lebesgue integration theory, at least on real line. Students can learn this material by taking parts of MATH 4130– MATH 4140 or MATH 6210. Probability Theory II Conditional expectation, martingales, Introduction to Mathematical StatisticsBrownian motion. Other topics such as Markov chains, ergodic theory, and stochastic calculus depending on time and interests of the instructor. Staff. MATH 6710 Introduction to Mathematical Statistics Topics include an introduction to the theory of point estimation, hypothesis testing and confidence intervals, consistency, efficiency, and the method of maximum likelihood. Basic concepts of decision theory are discussed; the key role of the sufficiency principle is highlighted and applications are given for finding Bayesian, minimax, and unbiased optimal decisions. Modern computer-intensive methods like the bootstrap receive some attention, as do simulation methods involving Markov chains. The parallel development of some concepts of machine learning is exemplified by classification algorithms. An optional section may include nonparametric curve estimation and elements of large sample asymptotics. Staff. MATH 6710 (measure theoretic probability) and ORIE 6700, or permission of instructor. MATH7740 Fall 4 MATH7750 Fall 4 MATH7770 Fall 4 MATH7780 Spring 4 NCC5010 Fall 3 Statistical Learning Theory The course aims to present the developing interface between machine learning theory and statistics. Topics are classification and pattern recognition, support vector machines, neural networks, tree methods, and boosting. Staff. Statistical Theories Applicable to Genomics Focuses on statistical concepts useful in genomics (e.g., microarray data analysis) that involve a large number of populations. Topics include multiple testing and closed testing (the cornerstone of multiple testing), family-wise error rate, false discovery rate (FDR) of Benjamini and Hochberg, and Storey’s papers relating to pFDR. Also discusses the shrinkage technique or the Empirical Bayes approach, equivalent to the BLUP in a random effect model, which is a powerful technique, taking advantage of a large number of populations. A related technique, which allows use of the same data to select and make inferences for the selected populations (or genes), is discussed. If time permits, there may be some lectures about permutation tests, bootstrapping, and QTL identification Staff. Stocastic Processes Stochastic Processes Statistics for Management basic mathematical statistics (MATH 6740 or equivalent) and measure theoretic probability (MATH 6710) Staff. This course provides the foundations of probability and statistics required for a manager to interpret large quantities of data and to make informed decisions under uncertainty. Topics covered include decision trees, sampling, hypothesis testing, and multiple regression. Staff. A. Farahat. Limited enrollment. Johnson School core course. NRE5180 NS6370 NTRES3130 Spring Spring Fall Marketing Models This course is a study of model-based research in the marketing literature. The course aims to accomplish three main objectives: (1) develop student’s knowledge of the technical details of various techniques for analyzing data, (2) expose students to “hands-on” use of various computer programs for carrying out statistical data analyses, and (3) have students propose a model of consumer/ market behavior that potentially constitutes a contribution to the literature. Topics in Nutritional Epidemiology 3 credits. Prerequisites: graduate standing; NS 6250. S– U or letter grades. J. McDermid.Builds upon the foundation of epidemiological concepts and methods in NS6520 by focusing on current topics in nutritional epidemiology including aspects of study design, implementation, analyses and interpretation of findings. Material covered through lectures and in-class discussions. 4 Biological Statistics I In this course, students develop statistical methods and apply them to problems encountered in the biological and environmental sciences. Methods include data visualization, population parameter estimation, sampling, bootstrap resampling, hypothesis testing, the Normal and other probability distributions, and an introduction to modeling. Applied analysis is carried out in the R statistical computing environment. 2 3 NTRES4120 Spring 4 Wildlife Population Analysis: Techniques and Models NTRES4130 Spring 4 Biological Statistics II S. Gupta. NS6520, BTRY6010 P. Sullivan. one semester of calculus. Explores the theory and application of a variety of statistical estimation and modeling techniques used in the study of wildlife population dynamics, with primary focus on analysis of data from marked individuals. Computer exercises are used to reinforce concepts presented in lecture. E. Cooch. NTRES 3100 or NTRES 4100 (or equivalent or permission of instructor) see BTRY3020 P. Sullivan. NTRES 3130, BTRY 3010, or STSCI 2200. Offered alternate years. Enrollment limited to: graduate students. Letter grades only. NTRES statistics requirement. NTRES6120 NTRES6200 NTRES6700 ORIE3120 ORIE3300 Spring Spring Spring Spring Fall, summer NTRES 3100 or NTRES 4100 (or equivalent or permission of instructor), college-level math and statistics course. 4 Wildlife Population Analysis: Techniques and Models 3 Spatial Modeling and Analysis see CSS6200 D. G. Rossiter. Spatial Statistics Develops and applies spatial statistical concepts and techniques to ecological and natural resource issues. Topics include visualizing spatial data and analysis and modeling of geostatistical, lattice, and spatial point processes. Applied analysis is carried out in the R statistical computing environment. CSS 6200 may be taken simultaneously. P. J. Sullivan. Industrial Data and Systems Analysis Database and statistical techniques for data mining, graphical display, and predictive analysis in the context of industrial systems (manufacturing and distribution). Database techniques include structured query language (SQL), procedural event-based programming (Visual Basic), and geographical information systems. Statistical techniques include multiple linear regression, classification, logistic regression, and time series forecasting. Industrial systems analysis includes factory scheduling and simulation, materials planning, cost estimation, inventory planning, and quality engineering. Staff. ENGRD 2700. Optimiztion I Formulation of linear programming problems and solutions by the simplex method. Related topics such as sensitivity analysis, duality, and network programming. Applications include such models as resource allocation and production planning. Introduction to interior-point methods for linear programming Staff. Prerequisite: grade of C– or better in MATH 2210 or MATH 2940. 4 4 4 see NTRES4120 E. Cooch. CSS 4100, CSS 4200, or equivalent, or permission of instructor. BTRY 6010 and BTRY 6020. Highly recommended prerequisite: introductory GIS course. Letter grades only. Alternate year course. ORIE3310 ORIE3500 ORIE3510 ORIE4350 ORIE4520 Spring, Summer Fall, summer Spring, summer Spring Spring Optimization II A variety of optimization methods stressing extensions of linear programming and its applications but also including topics drawn from integer programming, dynamic programming, and network optimization. Formulation and modeling are stressed as well as numerous applications. 4 Engineering Probability and Statistics II A rigorous foundation in theory combined with the methods for modeling, analyzing, and controlling randomness in engineering problems. Probabilistic ideas are used to construct models for engineering problems, and statistical methods are used to test and estimate parameters for these models. Specific topics include random variables, probability distributions, density functions, expectation and variance, multidimensional random variables, and important distributions including normal, Poisson, exponential, hypothesis testing, confidence intervals, and point estimation using maximum likelihood and the method of moments. 4 Introductory Engineering Stochastic Processes I 4 4 4 Staff. Prerequisite: grade of C– or better in ORIE 3300 or permission of instructor. Staff. grade of C– or better in ENGRD 2700 or equivalent. Uses basic concepts and techniques of random processes to construct models for a variety of problems of practical interest. Topics include the Poisson process, Markov chains, renewal theory, models for queuing, and reliability. Staff. grade of C– or better in ORIE 3500 or equivalent. Introductory to Game Theory Broad survey of the mathematical theory of games, including such topics as two-person matrix and bimatrix games; cooperative and noncooperative nperson games; and games in extensive, normal, and characteristic function form. Economic market games. Applications to weighted voting and cost allocation. Staff. ORIE3300 Introductory Engineering Stochastic Processes II Topics chosen from martingales, random walks, Levy processes, Brownian motion, branching processes, Markov-renewal processes, Markov processes, optimal stopping, dynamic programming. Staff. ORIE 3510 or equivalent ORIE4580 ORIE4600 ORIE4630 ORIE4710 ORIE4711 ORIE4712 Fall Fall Fall Spring Spring Spring 4 3 Simulation Modeling and Analysis Introduction to Monte Carlo simulation and discreteevent simulation. Emphasizes tools and techniques needed in practice. Random variate, vector, and process generation modeling using a discrete-event simulation language, input and output analysis, modeling. Staff. ORIE 3500 (may be taken concurrently) and CS 2110/ENGRD 2110. Introduction to Financial Engineering This is an introduction to the most important notions and ideas in modern financial engineering, such as arbitrage, pricing, derivatives, options, interest rate models, risk measures, equivalent martingale measures, complete and incomplete markets, etc. Most of the time the course deals with discrete time models. This course can serve as a preparation for a course on continuous time financial models such as ORIE 5600. Staff. ORIE 3500 and ORIE 3510. Staff. engineering math through MATH 2940, ENGRD 2700 and ORIE 3500, and knowldge of R and multiple linear regression equivalent to ORIE 3120. No previous knowledge of finance required. Staff. ENGRD 2700 (Weeks 1-7) ORIE 4710 (Weeks 8–14) Alternates with ORIE 4712. ORIE 4710 (Weeks 8–14) Alternates with ORIE 4711. 3 Operations Research Tools for Financial Engineering 2 Applied Linear Statistical Models 2 Experimental Design 2 Regression Introduction to the applications of OR techniques, e.g., probability, statistics, and optimization, to finance and financial engineering. First reviews probability and statistics and then surveys assets returns, ARIMA time series models, portfolio selection, regression, CAPM, option pricing, GARCH models, fixed-income securities, resampling techniques, and behavioral finance. Also covers the use of MATLAB, MINITAB, and SAS for computation. Topics include multiple linear regression, diagnostics, model selection, inference, one and two factor analysis of variance. Theory and applications both treated. Use of MINITAB stressed. Covers randomization, blocking, sample size determination, factorial designs, 2^p full and fractional factorials, response surfaces, Latin squares, split plots, and Taguchi designs. Engineering applications. Computing in MINITAB or SAS. Covers nonlinear regression, advanced diagnostics for multiple linear regression, collinearity, ridge regression, logistic regression, nonparametric estimation including spline and kernel methods, and regression with correlated errors. Computing in Staff. Staff. MINITAB or SAS. ORIE4740 ORIE5500 ORIE5510 ORIE5520 ORIE5640 Spring Fall Spring Spring Spring Staff. ORIE 3500 and MATH 2940 or equivalent; programming experience. Exposure to multiple linear regression and logistic regression strongly recommended. 4 Statistical Data Mining I Examines the statistical aspects of data mining, the effective analysis of large datasets. Covers the process of building and interpreting various statistical models appropriate to such problems arising in scientific and business applications. Topics include naïve Bayes, graphical models, multiple regression, logistic regression, clustering methods and principal component analysis. Assignments are done using one or more statistical computing packages. 4 Engineering Probability and Statistics II See ORIE 3500. Staff. ENGRD 2700 Lectures comeet with ORIE 3500. 4 Operations Research II: Introduction to Stochastic Processes I see ORIE 3510 Staff. ORIE 5500 Lectures comeet with ORIE 3510. 4 Introductory Engineering Stochastic Processes II see ORIE4520 Staff. ORIE 3510 Statistics for Financial Engineering Regression, ARIMA, GARCH, stochastic volatility, and factor models. Calibration of financial engineering models. Estimation of diffusion models. Estimation of risk measures. Multivariate models and copulas. Bayesian statistics. Students are instructed in the use of R software; prior knowledge of R is helpful but not required. This course is intended for M.Eng. students in financial engineering and assumes some familiarity with finance and financial engineering. Students not in the financial engineering program are welcome if they have a suitable background. Students with no background in finance should consider taking ORIE 4630 instead. Staff. ORIE 3500/ORIE 5500 and at least one of ORIE 4600, ORIE 4630, or ORIE 5600. 4 ORIE6127 ORIE6500 ORIE6510 ORIE6700 ORIE6710 Fall Fall Spring Fall Spring Staff. Pre- or corequisites: ORIE 6300, ORIE 6500 and ORIE 6700. Staff. one-semester calculus-based probability course. Probability Covers sample spaces, events, sigma fields, probability measures, set induction, independence, random variables, expectation, review of important distributions and transformation techniques, convergence concepts, laws of large numbers and asymptotic normality, and conditioning. Staff. real analysis at level of MATH 4130; onesemester calculus-based probability course. Statistical Principles Topics include review of distribution theory of special interest in statistics: normal, chi-square, binomial, Poisson, t, and F; introduction to statistical decision theory; sufficient statistics; theory of minimum variance unbiased point estimation; maximum likelihood and Bayes estimation; basic principles of hypothesis testing, including Neyman-Pearson Lemma and likelihood ratio principle; confidence interval construction; and introduction to linear models. Staff. ORIE 6500 or equivalent. Intermediate Applied Statistics Topics include statistical inference based on the general linear model; least-squares estimators and their optimality properties; likelihood ratio tests and corresponding confidence regions; and simultaneous inference. Applications in regression analysis and ANOVA models. Covers variance components and mixed models. Use of the computer as a tool for statistics is stressed. Staff. ORIE 6700 or equivalent. 3 Computationa l Issues in Large Scale Data-Driven Models Introduces this emerging research area. Topics include data-driven models in operation management, asymptotic statistics, uniform convergence of empirical process, and efficient computational methods. 4 Applied Stochastic Processes Introduction to stochastic processes that presents the basic theory together with a variety of applications. Topics include Markov processes, renewal theory, random walks, branching processes, Brownian motion, stationary processes, martingales, and point processes. 4 4 3 ORIE6720 ORIE6780 PAM2100 PAM2101 PAM3100 Spring Spring Fall or spring Fall Spring 3 Sequential Methods in Statistics Covers classical sequential hypothesis tests, Wald’s SPRT, stopping rules, Kiefer-Weiss test, optimality, group sequential methods, estimation, repeated confidence intervals, stochastic curtailment, adaptive designs, and Bayesian and decision theoretic approaches. 3 Bayesian Statistics and Data Analysis Priors, posteriors, Bayes estimators, Bayes factors, credible regions, hierarchical models, computational methods (especially MCMC), empirical Bayes methods, Bayesian robustness. Staff. Introduction to Statistics Introduces students to descriptive and inferential statistics. Topics include hypothesis testing, analysis of variance, and multiple regression. To illustrate these topics, this course examines applications of these methods in studies of child and family policy. J. Lewis Statistics for Policy Analysis and Management Majors The primary intent is to prepare students to successfully complete PAM 3100 Multivariate Regression. Topics include data presentation and descriptive statistics, summation operator, properties of linear functions, quadratic functions, logarithmic functions, random variables and their probability distributions, joint and conditional distributions, expected value, conditional expectation, statistical sampling and inference, interval estimation and confidence intervals, hypothesis testing using t and F distributions, and an introduction to bivariate regression analysis. The course uses Excel initially to become familiar with data analysis, and then moves on to Stata (a powerful statistical analysis computer program). Multiple Regression Analysis Introduces basic econometric principles and the use of statistical procedures in empirical studies of economic models. Discusses assumptions, properties, and problems encountered in the use of multiple regression procedures. Students are required to specify, estimate, and report the results of an empirical model. 4 4 4 S–U grades only. Staff. ORIE 6700 or an equivalent course in mathematical statistics. T. Evans. PAM majors only or permission of instructor. M. Lovenheim. PAM 2100, AEM 2100/ILRST 2100 or equivalent. Sec meets once a week. PAM5690 PAM6090 PLBR4092 PLRB4080 Fall Fall Spring Spring 3 3 Regression Analysis and Managerial Forecasting Teaches various statistical methods for managerial decision making, with a particular emphasis on regression and forecasting. Other topics include ANOVA, correlation, confounding, interaction, and statistical process control. Emphasizes applications to health care organizations. Empirical Strategies for Policy Analysis Focuses on empirical strategies to identify the causal effects of public policies and programs. The course uses problem sets based on real-world examples and data to examine techniques for analyzing nonexperimental data including control function approaches, matching methods, panel-data methods, selection models, instrumental variables, and regression-discontinuity methods. The emphasis throughout, however, is on the critical role of research design in facilitating credible causal inference. The course aids students in both learning to implement a variety of statistical tools using large data sets, and in learning to select which tools are best suited to a given research project. C. Lucarelli. at least one statistics course. J. Matsudaira. graduate course in econometrics. (e.g., ILRLE 7480–ILRLE 7490 or AEM 7100) 1 Introduction to Scripting and Statistics for Genetics Data Management This course provides instruction and hands-on experience with the statistical package ‘R’ as flexible platform for data analysis, combined with an introduction to perl scripting to manage, mine and organize large datasets. W. De Jong and L. Mueller. 1 QTL Analysis: Mapping Genotype to Phenotype in Practice Discussion of mating designs and populations as well as statistical models to identify genetic loci that affect the phenotype and to predict breeding and genotypic value using DNA polymorphisms. Practical application to real datasets. J. L. Jannink and E. Buckler. PLBR 4091, PLBR 4092, and PLBR 4093 may be taken individually or in seqence in one semester. BTRY 6010 or permission of instructor. PSYCH3500 Fall, summer. 4 PSYCH6430 SOC2160 Spring 4 Statistics and Research Design (MQR) 4 credits. Limited to 120 students. Staff. Acquaints the student with the elements of statistical description (e.g., measures of average, variation, correlation) and, more important, develops an understanding of statistical inference. Emphasis is placed on those statistical methods of principal relevance to psychology and related behavioral sciences. T. Cleland. Statistics in Current Psychological Research - Staff. Health and Society (SBA-AS) This course will examine how social factors shape physical and mental health. First, we will review social scientific research on the relationship between health and status characteristics, neighborhood and residential context, employment, social relationships and support, religion, and health-related behaviors. We will devote particular attention to the development of research questions and methodological approaches in this work. Next, we will directly examine the relationship between health and social factors using data from a nationally representative survey. Course instruction will include statistical analysis of survey data and social scientific writing. Students will develop their own research exploring how social factors contribute to health. E. York Cornwell. Forbidden Overlap: Students may receive credit for only one course in the following group: PSYCH 3500, AEM 2100, ILRST 2100/STSCI 2100, MATH 1710, PAM 2100, SOC 3010. Limited to 120 students. SOC3010 Fall 4 Evaluating Statistical Evidence This course will introduce students to the theory and mathematics of statistical analysis. Many decisions made by ourselves and others around us are based on statistics, yet few people have a solid grip on the strengths and limitations of these techniques. This course will provide a firm foundation for statistical reasoning and logical inference using probability. While there is math in this course, it is not a math class per se, as a considerable amount of attention is devoted to interpreting statistics as well as calculating them. SOC6010 Fall 4 Evaluating Statistical Evidence See SOC3010 M Brashears. Linear Models This course provides an in-depth examination of linear modeling. We begin with the basics of linear regression, including estimation, statistical inference, and model assumptions. We then review several tools for diagnosing violations of statistical assumptions and what to do when things go wrong, including dealing with outliers, missing data, omitted variables, and weights. Finally, we will explore extensions of the linear regression model, including models for categorical outcomes and hierarchical linear modeling. While statistical modeling is the focus of the course, we proceed with the assumption that models are only as good as the theoretical and substantive knowledge behind them. Thus, in covering the technical material, we will spend considerable time discussing the link between substantive knowledge and statistical practice. The course is designed primarily for graduate students in sociology. S. Morgan. SOC6020 Spring 4 M. Brashears. Arts and Sciences students only. Forbidden Overlap: Students may receive credit for only one course in the following group: AEM 2100, ILRST 2100/STSCI 2100, MATH 1710, PAM 2100, PSYCH 3500, SOC 3010 STSCI2100 Fall, spring 4 Introductory Statistics See ILRST2110. Staff. See NTRES3130. Staff. STSCI2110 Fall, spring 3 Statistical Methods for the Social Sciences II STSCI2200 Fall 4 Biological Statistics I STSCI3080 Fall 4 See ILRST2100. Forbidden Overlap: Students may receive credit for only one course in the following group: AEM 2100, ILRST 2100/STSCI 2100, MATH 1710, PAM 2100, PSYCH 3500, SOC 3010. Staff. ILRST 2100/STSCI 2100 or equivalent introductory statistics course. one semester of calculus. Forbidden Overlap: Students may receive credit for only one course in the following group: STSCI 3080/BTRY 3080, ECON 3190, MATH 4710. Probability Models and Inference This course provides an introduction to probability and parametric inference. Topics include: random variables, standard distributions, the law of large numbers, the central limit theorem, likelihood-based estimation, sampling distributions and hypothesis testing, as well as an introduction to Bayesian methods. Some assignments may involve computation using the R programming language. Staff. Staff. two semesters of statistics. Staff. BTRY 3010 or BTRY 6010. STSCI3100 Fall 4 Statistical Sampling Theory and application of statistical sampling, especially in regard to sample design, cost, estimation of population quantities, and error estimation. Assessment of nonsampling errors. Discussion of applications to social and biological sciences and to business problems. Includes an applied project. STSCI3200 Spring 4 Biological Statistics II See BTRY3020. Co-meets with ILRST 5100. STSCI3510 STSCI3520 STSCI4030 STSCI4090 Spring, summer Spring Fall Spring 4 4 3 4 Intoductory Engineering Stochastic Processes I See ORIE3510. Statistical Computing See BTRY3520. Applied Linear Statistical Models via Matrices Introduction to the general linear statistical model, which includes regression, analysis of variance, and their variations and extensions. The course uses the matrix algebra representation of the model, which provides greater analytical, statistical, and geometric insight (and generalization) than the elementary representation used in introductory courses. A wide range of useful linear models will be studied, including multiple regression, ANOVA, random-effects models, etc. Prerequisites: a second non-calculus course in statistics, preferably on multiple regression, and at least one semester of basic matrix (linear) algebra. Theory of Statistics See BTRY4090. Staff. grade of C- or better in ORIE 3500 or equivalent. G. Hooker. BTRY 3080, enrollment in MATH 2220 and MATH 2240 or equivalents. Staff. A second noncalculus course in statistics, preferably on multiple regression, and at least one semester of basic matrix (linear) algebra. Staff. BTRY 3080 or equivalent and at least one introductory statistics course. Forbidden Overlap: Students may receive credit for only one course in the following group: STSCI 4090/BTRY 4090, ECON 3190, MATH 4720. STSCI4100 STSCI4110 Spring Spring 4 Multivariate Analysis Discusses techniques of multivariate statistical analysis techniques and illustrates them using examples from various fields. Emphasizes applications and computer packages, but theory is not ignored. Topics include multivariate normal distribution, sample geometry and multivariate distances, inference about a mean vector, comparison of several multivariate means and covariances; principal component analysis; factor analysis; canonical correlation analysis; discriminant analysis; and clustering. 4 Statistical Methods III: Categorical Data Categorical data analysis, including logistic regression, log-linear models, stratified tables, matched pairs analysis, polytomous response, and ordinal data. Applications in biomedical and social sciences. Staff. ILRST 3120 , STSCI 2200, or equivalent. Applications of experimental design including split plots, incomplete blocks, and fractional factorials. Stresses use of the computer for both design and analysis, with emphasis on solving real data problems. Staff. STSCI 3200 or permission of instructor. R. Strawderman. STSCI4120 Spring 4 Statistical Methods IV: Applied Design STSCI4270 Fall, spring 3 Introduction to Survival Analysis See BTRY4270. 4 Databases and Statistical Computing The intent of the course is to provide the statistician with the computational tools for statistical research and applications. Topics including random number generation and Monte Carlo methods, regression computations and application to statistical methods of optimization, and sorting. 4 Applied Time Series Analysis Introduces statistical tools for the analysis of timedependent data. Data analysis and application will be an integral part of this course. Topics include linear, nonlinear, seasonal, multivariate modeling, and financial time series. 4 Data Mining and Machine Learning Examines the statistical aspects of data mining, the effective analysis of large datasets and the introduction to machine learning algorithms and their applications. Topics include classification, regression trees, neural networks, boosting, and nearest neighbor techniques. STSCI4500 STSCI4550 STSCI4740 Spring Spring Fall Staff. ILRST 3120 , STSCI 2200, or equivalent; some knowledge of matrix-based regression analysis. Staff. Exposure to multiple linear regression and logistic regression strongly recommended. D. Matteson. STSCI 3080, STSCI 4030 (or equivalent) or permission of instructor. Staff. CS 1112 , MATH 2220 , STSCI 3200 , STSCI 4090. Offered alternate years. STSCI4940 STSCI5010 STSCI5060 Fall, spring Fall Spring 1-3 4 4 Undergraduat e Special Topics in Statistics Applied Statistical Analysis Consists of a series of modules on various topics in applied statistics. Some modules include guest lectures from practitioners. Parallel with the course, students complete a yearlong, in-depth data analysis project. Topics include but are not limited to statistical computing systems, statistical software packages, data management, statistical graphics, and simulation methods and algorithms. Database Management and SAS High Performance Computing with DBMS Using relational databases in statistical computing has become more and more important. The knowledge and skill of database management and the ability to combine this knowledge and skill with statistical analysis software tools, such as SAS, are a critical qualification of a statistical analyst. In this course we will study 1) the basics of modern relational database management systems, including database analysis, design and implementation, 2) database application in advanced SAS programming and, 3) SAS high performance computing using database-related techniques. Staff. Permission of Department is required. Staff. Enrollment is limited to: students in M.P.S. Program. Two-semester core course for students in master of professional studies (M.P.S.) degree program in applied statistics in Department of Statistical Science. X. Yang. Base SAS programming knowledge and skills (STSCI 5010). Permission of instructor required. Enrollment limited to: students in the MPS Program in Applied Statistics. Letter grades only. STSCI5080 Fall 4 Probability Models and Inference STSCI6000 Fall, spring 1 Statistics Seminar STSCI6520 STSCI6940 TAM3100 Spring Fall, spring Fall, summer 4 Computationa lly Intensive Statistical Methods 1-3 Graduate Special Topics in Statistics 3 Introduction to Applied Mathematics I This course provides an introduction to probability and parametric inference. Topics include: random variables, standard distributions, the law of large numbers, the central limit theorem, likelihood-based estimation, sampling distributions and hypothesis testing, as well as an introduction to Bayesian methods. Some assignments may involve computation using the R programming language. Modem applications in statistics often require intensive computation and the use of modem statistical learning techniques. This course covers topics in statistical computing, induding numerical optimization and finding zeros (likelihood and related techniques), regressions, logistic regressions, neural neworks, decision trees, boosting, bagging, dimension reductions (including classical methods and new techniques) for handling modem massive data sets (MMDS). Intensive programming is done in MATLAB. Covers initial value, boundary value, and eigenvalue problems in linear ordinary differential equations. Also covers special functions, linear partial differential equations. This is an introduction to probability and statistics. Use of computers to solve problems is emphasized. Staff. Staff. BTRY 4090 or permission of instructor. Staff. ORIE 6700 (or equivalent) and at least one course in probability, or approval of instructor. Staff. Permission of department is required. Staff. MATH 2930, MATH 2940. VTMED642 2 VTPMD6660 Spring Fall 1 3 Clinical Biostatistics for Journal Readers Students become familiar with the statistical methods commonly used in veterinary clinical articles, learn to recognize obvious misuse of those methods, and become able to interpret the statistical results. Advanced Methods in Epidemiology (Graduate) Concepts introduced in VTPMD 6640 and VTPMD 6650 are developed further, with emphasis on statistical methods. Topics include interaction, effect modification, stratified analysis, matching and multivariate (logistic regression) methods, survival analysis, repeated measures, and strategies for the analysis of epidemiologic data. Letter grades only. Enrollment limited to: first-, second, third-, and fourth-year veterinary students or permission of instructor. Minimum enrollment 3; maximum 12. H. N. Erb. Y. T. Grohn. VTPMD 6650/VETCS 6650 and BTRY 6020