William Greene

Stern School of Business

New York University

Regression Modeling and Discrete Choice Analysis with Cross Section and Panel Data: 2014


Professor William. Greene
e-mail: wgreene@stern.nyu.edu

Home Page: http://people.stern.nyu.edu/wgreene


This course will survey techniques used in modeling cross section and panel data. Emphasis will be on discrete data, though results and techniques are mostly generic and will extend to other modeling frameworks. Discrete choice models have become an essential tool in modeling individual behavior. The techniques are used in all social sciences, health economics, medical research, marketing research, transport research, and in a constellation of other disciplines. This course will examine a large number of models and techniques used in these studies. We will begin with a brief review of regression modeling concepts, then turn to the fundamental building block in discrete choice modeling, the binary choice model. Several variants and extensions will be discussed before we turn attention to multiple equation binary choice models, ordered choice models and models for counts. The second half of the course will be devoted to multinomial choice models of the sort used, e.g., in modeling brand choice in marketing, travel mode choice in transport, and a huge variety of applications in the social and behavioral sciences.


The course will include lectures that develop the relevant theory and extensive practical, laboratory applications. Emphasis in the laboratory sessions will be on estimation of discrete choice models and using them to describe behavior and to predict discrete outcomes. Course participants will apply the techniques on their own computers using the NLOGIT computer program and several real data sets that have been used in applications already in the literature.


This website provides materials that will be used in the course as well as additional resources that students might want to use to explore on their own the material presented in the course. We will only use a few of the data sets. The articles are provided for self study. We will not be working through them in detail, though some of them will be superficially examined as applications of the methods discussed in class.


Prior knowledge is assumed to include calculus at the level assumed in the first year of a Ph.D. program in economics and a course in econometrics at the beginning Ph.D. level out of a textbook such as Greene, W., Econometric Analysis, 7th edition. Familiarity with NLOGIT will be helpful, but is not necessary. Two useful reference books for the course are the primer Applied Choice Analysis by David Hensher, John Rose and William Greene (Cambridge University Press, 2005) and the survey monograph, Modeling Ordered Choices by William Greene and David Hensher (Cambridge University Press, 2010). An up to date and comprehensive survey of econometric theory that is a bit more advanced than needed for our purposes is Wooldridge, J., Econometric Analysis of Cross Section and Panel Data, 2nd ed., MIT Press, 2010.


Students in this course will obtain background in both the theory and methods of estimation for discrete choice modeling. This course will provide a gateway to the professional literature as well as practical applications of the methods at the level of the contemporary research in the field. Emphasis in the course is on applications of methods. Derivations of, e.g., asymptotic properties of estimators, and theoretical fine points, such as the implications of different types of independence assumptions in panel data models are left for more advanced treatments.

Background Material and Related Topics

No specific textbook is assigned for the course. Some of the presentation will be based on Econometric Analysis, 7th ed., by Greene, W. (Prentice Hall, 2012). 6 chapters are included below:

Left click to open. Right click to download. (These are PDF and pptx files.)


Greene, W., Econometric Analysis, 7th Ed.

Greene 11-Panel data methods

Greene 12-Estimation methods

Greene 14-Maximum likelihood estimation

Greene 15-Simulation based estimation and inference

Greene 17-Discrete choice models

Greene 18-Count data models

Greene 19-Censoring and truncation


Econometric Methods

Correcting estimated standard errors in the presence of clustering (Wooldridge, 2003)

Modeling endogeneity in nonlinear models (Terza, Basu, Rathouz, 2008)

Interaction effects in nonlinear models (Greene, 2010)

Modeling dynamic effects in nonlinear models (Wooldridge, 2005)


These are class notes on some specific topics related to modeling individual behavior.


Microeconometrics Topics 1. Descriptive Statistics and Linear Regression (PDF)

Microeconometrics Topics 2. Endogeneity (PDF)

Microeconometrics Topics 3. Linear Regression with Panel Data (PDF)

Microeconometrics Topics 4. Quantile Regression and Bootstrapping (PDF)

Microeconometrics Topics 5. Bayesian Analysis (PDF)

Microeconometrics Topics 6. Nonlinear Models (PDF)

Microeconometrics Topics 7. Sample Selection in Nonlinear Models (PDF)

Microeconometrics Topics 8. Random Parameter and Hierarchical Linear Models (PDF)

Microeconometrics Topics 9. Some Latent Class Models (PDF)

Microeconometrics Topics 10. Censoring and Truncation (PDF)

Microeconometrics Topics 11. Duration Models (PDF)


The following are two descriptive papers that introduce modern forms of discrete choice models and some survey papers on specific topics in discrete choice modeling.

Economic Choices, American Economic Review, McFadden, D. (2001). McFadden’s Nobel Prize lecture.

Mixed MNL Models for Discrete Response, McFadden, D. and Train, K., Journal of Applied Econometrics, 2000.

The Behaviour of the Maximum Likelihood Estimator of Limited Dependent Variable Model in the Presence of Fixed Effects, Greene, W., Econometric Journal, 2004.

Discrete Choice Models, W. Greene, (a survey of discrete choice models), Palgrave Handbook of Applied Econometrics, 2009.

Functional Form and Heterogeneity in Models for Count Data, W. Greene (a survey of models for count data); Foundations and Trends in Econometrics, 2007.

Modeling Ordered Choices, Greene, W. and Hensher, D., Cambridge University Press, 2010.


Left click to open. Right click to download. (These are PDF files.)


Convenient Estimators for a Panel Data Probit Podel

A Recursive Bivariate Probit Model and an Exploration of Selectivity

A Survey of Nonparametric Binary Choice Models

Bago d Uva and Jones Latent Class Health Care Models

Finkelstein et al. Oregon Health Insurance Experiment

Scott et al. Recursive Bivariate Probit Analysis of Quality of Diabetes Care

Lagarde Latent Class Logit Analysis of Infant Care

Johnston, Schurer and Shields Dynamic Ordered Choice Model

Jones and Schurer Dynamic Ordered Choice Model

Riphahn, Wambach, Million Mixed Poisson Models for Health Care Utilization

Contoyannis, Rice, Jones Dynamic Ordered Choice Model of Health Satisfaction

Winkelmann Econometric Exploration of Count Models of Health Care

Van Ophem Extension of Winkelmann Hurdle Model

Laporte Quantile Regression

Gannon, Dynamic Probit Model

Christensen and Kallestrup-Lamb

Au and Lorgelly on Anchoring Vignettes

Petrin and Train: A Control Function Approach to Endogeneity in Consumer Choice Models



We will study four models that comprise the foundation for discrete choice modeling:

1. The fundamental model of binary choice (and a number of variants);

2. Models for ordered choices;

3. The Poisson regression model for count data;

4. The fundamental model for multinomial choice, the multinomial logit model.

The course will consist of discussions and laboratory sessions which will apply the techniques to live data sets and some time devoted to topics, discussions and laboratory work on student projects. Discussions will cover the topics listed below. Lab sessions will apply the techniques discussed in the preceding sessions. Practicals will consist of directed exercises and student assignments to be completed singly or in groups.


For the materials below, left click to open, right click to download.


I. Class Notes: These are Powerpoint slide presentations for use during the class sessions.

Part 0: Introduction (PDF)

Part 1: Methodology (PDF)

Part 2: Binary Choice (PDF)

Part 3: Panel Data Models for Binary Choice (PDF)

Part 4: Bivariate and Multivariate Models for Binary Choice (PDF)

Part 5: Ordered Choices (PDF)

Part 6: Count Data (PDF)

Part 7: Multinomial Logit (PDF)

Part 8: Nested Logit Models (PDF)

Part 9: Modeling Heterogeneity (PDF)

Part 10: Latent Class Models (PDF)

Part 11: Mixed Logit Models (PDF)

Part 12: Stated Preference (PDF)

Part 13: Hybrid Choice Models (PDF)

Part 14. Discrete Choice Models for Spatially Correlated Data (PDF)


II. Exercises: Exercises and Practicals for Discrete Choice Modeling.

A. Scripted Exercises: These are exercises for the student to do with the instructor. Note there are two parts to each, the .pdf file for the assignment and the .lim file that contains the NLOGIT commands.

Tutorial: Executing the Scripts for the Assignments (pptx file)

Assignment 1: Basic Regression, Binary Choice (NLOGIT Commands for Assignment 1)

Assignment 2: Binary Choice: Estimation and Testing, Panel Data (NLOGIT Commands for Assignment 2)

Assignment 3: Binary Choice Modeling with Heterogeneity (NLOGIT Commands for Assignment 3)

Assignment 4: Ordered Choice and Count Data Models (NLOGIT Commands for Assignment 4)

Assignment 5: Multinomial Choice Models (NLOGIT Commands for Assignment 5)

Assignment 6: Stated Preference Model, Student Project: Model for Moral Hazard (NLOGIT Commands for Assignment 6)

B. Additional Exercises.

1. Binary Choice Models: (Exercise 1-pdf), (Commands-lim), (Data-lpj)

2. Multinomial Choice: (Exercise 2-pdf), (Commands-Part1-lim), (Commands-Part2-lim), (Data-lpj)

3. Advanced Multinomial Choice (Exercise 3 (was exercise 5)-pdf), (Commands-lim), (Multinomial Choice Data-lpj), (SPRP Data-lpj), (Description of SPRP Data)

4. Stated Preference Multinomial Choice (Exercise 4-pdf), (Commands-lim), (Data-lpj)

5. Panel Data Binary Choice (Exercise 5-pdf), (Commands-lim), (Data-lpj)

6. Count Data (Exercise 6-pdf), (Commands-lim), (Data-lpj)


III. Data Sets: These are NLOGIT project (.lpj) files. Each is also provided in the portable comma separated values (csv) format.

American Express Credit Data, 13444 observations (Filename=AmexData) (lpj) (csv)

Small Demonstration Income/Education Data, 14 observations (Filename=IncomeData) (lpj) (csv)

Combined Travel Mode and Brand Choices Data, 12800 observations (Filename=mnc) (lpj) (csv)

Health Economics, Small Subset of GSOEP Data, 2039 observations (Filename=HealthData) (lpj) (csv)

Manufacturing Innovation Data, 6350 observations (Filename=panelprobit) (lpj) (csv)

Multinomial Choice Stated Preference Experiment, 9408 observations (Filename=sprp) (lpj) (csv)

Labor Supply Data, 753 observations (Filename=labor) (lpj) (csv)

Health Care Panel Data 27326 observations (Filename=healthcare) (lpj) (csv)

Southern California Fishing Data (long form), 4728 observations (Filename=fishing_data(NL)) (lpj) (csv)

Rand Study Data, 19339 observations (Filename=rand_data_2012) (lpj) (csv)

General Practitioner Visits Data, 342 observations (Filename=gpvisits_panel_shp_data_2011) (lpj) (csv)

Kenneth Train California Public Utility Survey, 17232 rows, 4308 obs. (Filename=TrainCalUtilitySurvey) (lpj) (csv)

Stated Preference Data on Commuting Choices (lpj) (csv)


IV. NLOGIT Software: This section contains a brief introduction and two manuals: The short introduction is a getting started. The LIMDEP manual explains the basics of using LIMDEP and NLOGIT. (LIMDEP is embedded in NLOGIT). The NLOGIT manual contains descriptions of how to use the special features for discrete choice modeling with NLOGIT (as well as some additional material on other discrete choice models that are also contained in LIMDEP). The setup file contains an installation kit for installing a copy of NLOGIT made specially for this course on your own computer. You should download the setup file to your own computer and execute it there, rather than launching it from your web browser.

These are Powerpoint slide presentations that explain using NLOGIT and how to do the assignments.

Getting started tutorial

Lab 1: Basic Operation

Lab 2: Binary Choice

Lab 3: Testing Hypotheses

Lab 4: Panel Data

Lab 5: Useful Tools: Simulation, Partial Effects, Bootstrapping

Lab 6: Random Parameters and Latent Class Models

Lab 7: Multinomial Choice Models

Lab 8: Mixed Logit Models

These are short manuals that document how to use the program:

Quickstart Introduction to NLOGIT (Command script file to use with Quickstart)

Short Introduction to NLOGIT

LIMDEP Student User Manual

NLOGIT Student User Manual

This is the installation kit for installing the program. Download this file to your computer before you use it to install NLOGIT on your computer.

NLOGIT Software Setup for Installing NLOGIT on Your Computer