Discrete Choice Modeling: Theory and Applications

William Greene
Stern School of Business
New York University

Discrete Choice Modeling

University of Southern Denmark

December 16-18, 2013

Professor

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

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

Abstract

This course will survey techniques used in discrete choice modeling in cross section, panel and stated choice data. 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. The remainder 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.

Prerequisites

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. A useful reference book for the course is the primer Applied Choice Analysis by David Hensher, John Rose and William Greene (Cambridge University Press, 2005).

 

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 in health economics. 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.

Course Outline Left click to open. Right click to download. (This is a PDF file.)

This is a course in econometric analysis of discrete data. 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 methods discussed in the preceding sessions. Practicals will consist of directed exercises and student assignments to be completed singly or in groups.

 

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). 7 chapters are included with the course materials:

 

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

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

 

The received literature on discrete choice models is vast - one could easily compose a list of thousands of articles. Your course materials include a small handful of articles. The first set are methodological papers that focus on particular techniques. The second set are recent applications in health economics that use the techniques we will discuss in our course:

 

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

Economic Choices.

Mixed Logit Models.

Fixed Effects Models.

Discrete Choice Models.

 

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

Correcting estimated standard errors in the presence of clustering.

Modeling endogeneity in nonlinear models.

Interaction effects in nonlinear models.

Modeling dynamic effects in nonlinear models.

 

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

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

 

The received literature on discrete choice models is vast - one could easily compose a list of thousands of articles. The following are two classics and an interesting survey:

 

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.

A Control Function Approach to Endogeneity in Consumer Choice Models, Petrin, A and K. Train, Journal of Marketing Research, 2009.

I. Class Notes: Course description and overview. Notes for use during the class sessions.

 

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Notes 0. Outline and Introduction

Notes 1. Methodology and Binary Choice

Notes 2. Multinomial Choice Models

Notes 3. Nested Logit and Multinomial Probit

Notes 4. Modeling Heterogeneity

Notes 5. Latent Class Models

Notes 6. Mixed Logit Models

Notes 7. Stated Preference

Notes 8. Hybrid Choice Models

 

II. Scripted Exercises: These are scripted applications that illustrate using NLOGIT to carry out some of the

computations discuss in class. There are two parts to each, the .pdf file for the exercise and the .lim file that contains

the NLOGIT commands. You can first load the indicated dat sets, open the command files, then execute the script

and follow along as the computations are completed.

 

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

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

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

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

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

Scripted Exercise 5: Multinomial Choice Models, Stated Preferences (NLOGIT Commands for Exercise 5)

 

III. Assignments: These are exercises for the student to do on their own.

 

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

Exercise 1: Basic Regression, Binary Choice

Exercise 2: Binary Choice with Panel Data; Delta Method, Bootstrapping

Exercise 3: Count Data; Modeling with Heterogeneity, Latent Class and Mixed Models

Exercise 4: Multinomial Choice

 

Multinomial Choice Exercises

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

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

3. Advanced Multinomial Choice (Assignment-pdf), (Commands-lim) (Data-lpj) (Description of Data)

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

 

 

IV. Lab Notes: These are Powerpoint slide presentations (pptx) that show how to use NLOGIT.

 

Left click to open. Right click to download. These are pptx files

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

 

V. Data Sets: These datasets are provided in two forms, NLOGIT project (.lpj) files and portable CSV files.

 

Left click to open. Right click to download. CSV files will open Excel.

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)

 

VI. NLOGIT Software: This section contains a brief introduction and two manuals: The short introduction is a getting started guide. 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.

 

Left click to open. Right click to download.

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

LIMDEP Student User Manual

NLOGIT Student User Manual

NLOGIT Software Setup for Installing NLOGIT on Your Computer