Applied Regression
This class will explore how various regression modeling techniques can be used to study practical problems and issues in the social sciences, public policy, and other fields. The course is intended to be interdisciplinary, and the content will be tailored to some degree to match the interests of the students.
For students in the LBJ School of Public Affairs, this class builds upon the basic statistical concepts presented in Introduction to Empirical Methods (IEM) and qualifies as the second course in the core sequence in quantitative analysis.
The focus of this class is on statistical modeling concepts and how to analyze different problems and data sets. Little attention will be devoted to formal proofs and derivations.
The content of this course will be very similar to an introductory Econometrics course, but we will use less mathematics than is used in the Economics Department.
Course topics will include:
A review of basic statistical concepts
Dealing with uncertainty in research and policy problems
The thought process behind setting up a statistical model
Software (Excel and SAS will be used)
Approaches to estimating relationships (e.g., least squares, likelihood estimation, MCMC simulation)
Interpretation of regression statistics
Hypothesis testing (from frequentist and Bayesian perspectives)
Multivariate regression
Variable selection, specification testing, and functional forms
How to identify and address modeling problems (e.g., autocorrelation, multicollinearity, heteroskedasticity, omitted variables bias, misspecification, endogeneity bias)
Dummy variables and qualitative variables
Logit, Tobit, and Poisson models
Basic index theory
Time series approaches
Spatial regression
Forecasting techniques
An introduction to Bayesian estimation
Causality
A brief introduction to more advanced approaches, including non-parametric regression and simulation techniques.
For Requirements and Expectations
Students should already be familiar with basic statistical concepts and be able to read and understand simple mathematical notation.
We will avoid the use of linear algebra. You will not need any prior background with SAS.
If you are enrolled in the LBJ School of Public Affairs, IEM is a prerequisite.
There will be five or six homework problems, in addition to a mid-term exam and a term paper. The term paper will likely be a group project.
Readings
There are no required textbooks for this class. Lecture notes will be posted on Canvas. Additional readings, example Excel spreadsheets, and SAS programs will be posted on Canvas.