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Teachers College at Columbia University · Courses

STAT GU

13 courses with the subject STAT GU, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.

STAT GU4001INTRODUCTION TO PROBABILITY AND STATISTICS3.00

Prerequisites: Calculus through multiple integration and infinite sums. A calculus-based tour of the fundamentals of probability theory and statistical inference. Probability models, random variables, useful distributions, conditioning, expectations, law of large numbers, central limit theorem, point and confidence interval estimation, hypothesis tests, linear regression. This course replaces SIEO 4150

Subject
STAT GU
Credits (min)
3
Credits (max)
3
Credit unit
points
Type
course
Edition
2026
Source
bulletin.columbia.edu
STAT GU4221TIME SERIES ANALYSIS3.00

Prerequisites: STAT GU4205 or the equivalent. Least squares smoothing and prediction, linear systems, Fourier analysis, and spectral estimation. Impulse response and transfer function. Fourier series, the fast Fourier transform, autocorrelation function, and spectral density. Univariate Box-Jenkins modeling and forecasting. Emphasis on applications. Examples from the physical sciences, social sciences, and business. Computing is an integral part of the course

Subject
STAT GU
Credits (min)
3
Credits (max)
3
Credit unit
points
Type
course
Edition
2026
Source
bulletin.columbia.edu
STAT GU4222NONPARAMETRIC STATISTICS3.00

Prerequisites: STAT GU4204 or the equivalent. Prerequisites: STAT GU4204 or the equivalent. Statistical inference without parametric model assumption. Hypothesis testing using ranks, permutations, and order statistics. Nonparametric analogs of analysis of variance. Non-parametric regression, smoothing and model selection

Subject
STAT GU
Credits (min)
3
Credits (max)
3
Credit unit
points
Type
course
Edition
2026
Source
bulletin.columbia.edu
STAT GU4223MULTIVARIATE STAT INFERENCE3.00

Prerequisites: STAT GU4205 or the equivalent. Prerequisites: STAT GU4205 or the equivalent. Multivariate normal distribution, multivariate regression and classification; canonical correlation; graphical models and Bayesian networks; principal components and other models for factor analysis; SVD; discriminant analysis; cluster analysis

Subject
STAT GU
Credits (min)
3
Credits (max)
3
Credit unit
points
Type
course
Edition
2026
Source
bulletin.columbia.edu
STAT GU4224BAYESIAN STATISTICS3.00

Prerequisites: STAT GU4204 or the equivalent. This course introduces the Bayesian paradigm for statistical inference. Topics covered include prior and posterior distributions: conjugate priors, informative and non-informative priors; one- and two-sample problems; models for normal data, models for binary data, Bayesian linear models; Bayesian computation: MCMC algorithms, the Gibbs sampler; hierarchical models; hypothesis testing, Bayes factors, model selection; use of statistical software. Prerequisites: A course in the theory of statistical inference, such as STAT GU4204 a course in statistical modeling and data analysis, such as STAT GU4205

Subject
STAT GU
Credits (min)
3
Credits (max)
3
Credit unit
points
Type
course
Edition
2026
Source
bulletin.columbia.edu
STAT GU4231SURVIVAL ANALYSIS3.00

Prerequisites: STAT GU4205 or the equivalent. Prerequisites: STAT GU4205 or the equivalent. Survival distributions, types of censored data, estimation for various survival models, nonparametric estimation of survival distributions, the proportional hazard and accelerated lifetime models for regression analysis with failure-time data. Extensive use of the computer

Subject
STAT GU
Credits (min)
3
Credits (max)
3
Credit unit
points
Type
course
Edition
2026
Source
bulletin.columbia.edu
STAT GU4232GENERALIZED LINEAR MODELS3.00

Prerequisites: STAT GU4205 or the equivalent. Prerequisites: STAT GU4205 or the equivalent. Statistical methods for rates and proportions, ordered and nominal categorical responses, contingency tables, odds-ratios, exact inference, logistic regression, Poisson regression, generalized linear models

Subject
STAT GU
Credits (min)
3
Credits (max)
3
Credit unit
points
Type
course
Edition
2026
Source
bulletin.columbia.edu
STAT GU4233Multilevel Models3

Theory and practice, including model-checking, for random and mixed-effects models (also called hierarchical, multi-level models). Extensive use of the computer to analyse data.

Subject
STAT GU
Credits (min)
3
Credits (max)
3
Credit unit
points
Type
course
Edition
2026
Source
bulletin.columbia.edu
STAT GU4234SAMPLE SURVEYS3.00

Prerequisites: STAT GU4204 or the equivalent. Introductory course on the design and analysis of sample surveys. How sample surveys are conducted, why the designs are used, how to analyze survey results, and how to derive from first principles the standard results and their generalizations. Examples from public health, social work, opinion polling, and other topics of interest

Subject
STAT GU
Credits (min)
3
Credits (max)
3
Credit unit
points
Type
course
Edition
2026
Source
bulletin.columbia.edu
STAT GU4241STATISTICAL MACHINE LEARNING3.00

Prerequisites: STAT GU4206. Prerequisites: STAT GU4206. The course will provide an introduction to Machine Learning and its core models and algorithms. The aim of the course is to provide students of statistics with detailed knowledge of how Machine Learning methods work and how statistical models can be brought to bear in computer systems - not only to analyze large data sets, but to let computers perform tasks that traditional methods of computer science are unable to address. Examples range from speech recognition and text analysis through bioinformatics and medical diagnosis. This course provides a first introduction to the statistical methods and mathematical concepts which make such technologies possible

Subject
STAT GU
Credits (min)
3
Credits (max)
3
Credit unit
points
Type
course
Edition
2026
Source
bulletin.columbia.edu
STAT GU4261STATISTICAL METHODS IN FINANCE3.00

Prerequisites: STAT GU4205 or the equivalent. A fast-paced introduction to statistical methods used in quantitative finance. Financial applications and statistical methodologies are intertwined in all lectures. Topics include regression analysis and applications to the Capital Asset Pricing Model and multifactor pricing models, principal components and multivariate analysis, smoothing techniques and estimation of yield curves statistical methods for financial time series, value at risk, term structure models and fixed income research, and estimation and modeling of volatilities. Hands-on experience with financial data

Subject
STAT GU
Credits (min)
3
Credits (max)
3
Credit unit
points
Type
course
Edition
2026
Source
bulletin.columbia.edu
STAT GU4263STAT INF/TIME-SERIES MODELLING3.00

Prerequisites: STAT GU4204 or the equivalent. STAT GU4205 is recommended. Modeling and inference for random processes, from natural sciences to finance and economics. ARMA, ARCH, GARCH and nonlinear models, parameter estimation, prediction and filtering. This is a core course in the MS program in mathematical finance

Subject
STAT GU
Credits (min)
3
Credits (max)
3
Credit unit
points
Type
course
Edition
2026
Source
bulletin.columbia.edu
STAT GU4291ADVANCED DATA ANALYSIS3.00

Prerequisites: STAT GU4205 and at least one statistics course numbered between GU4221 and GU4261. This is a course on getting the most out of data. The emphasis will be on hands-on experience, involving case studies with real data and using common statistical packages. The course covers, at a very high level, exploratory data analysis, model formulation, goodness of fit testing, and other standard and non-standard statistical procedures, including linear regression, analysis of variance, nonlinear regression, generalized linear models, survival analysis, time series analysis, and modern regression methods. Students will be expected to propose a data set of their choice for use as case study material

Subject
STAT GU
Credits (min)
3
Credits (max)
3
Credit unit
points
Type
course
Edition
2026
Source
bulletin.columbia.edu

Source: Teachers College at Columbia University's catalog, linked per course · table learning_unit · CourseShelf publish 61