Covariance heterogeneity in nested logit models: Econometric structure and application to intercity travel
AbstractThe nested logit model relaxes the 'independence of irrelevant alternatives' (IIA) property of the multinomial logit model by grouping alternatives based on their degree of substitution. Alternatives in a nest exhibit an identical degree of increased sensitivity relative to alternatives not in the nest. An assumption maintained in the nested logit is that the degree of sensitivity among nested alternatives is invariant across agents making the choice. This assumption might be untenable in many situations. In this paper, we propose an extension of the nested logit model to allow heterogeneity (across agents) in the covariance among nested alternatives based on observed agent characteristics. We label this model as the COVNL model. The multinomial logit, the nested logit, and the COVNL model are estimated to examine the impact of improved rail service on weekday, business travel in the Toronto-Montreal corridor. The empirical results show that not accounting for covariance heterogeneity in the nested logit formulation leads to a statistically inferior data fit and also to biased model estimates of the effects of level-of-service variables.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Transportation Research Part B: Methodological.
Volume (Year): 31 (1997)
Issue (Month): 1 (February)
Contact details of provider:
Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/548/description#description
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Hausman, Jerry & McFadden, Daniel, 1984.
"Specification Tests for the Multinomial Logit Model,"
Econometric Society, vol. 52(5), pages 1219-40, September.
- D. McFadden & J. Hausman, 1981. "Specification Tests for the Multinominal Logit Model," Working papers 292, Massachusetts Institute of Technology (MIT), Department of Economics.
- Horowitz, Joel L., 1991. "Reconsidering the multinomial probit model," Transportation Research Part B: Methodological, Elsevier, vol. 25(6), pages 433-438, December.
- Borsch-Supan, Axel & Hajivassiliou, Vassilis A., 1993.
"Smooth unbiased multivariate probability simulators for maximum likelihood estimation of limited dependent variable models,"
Journal of Econometrics,
Elsevier, vol. 58(3), pages 347-368, August.
- Vassilis A. Hajivassiliou & Axel Borsch-Supan, 1990. "Smooth Unbiased Multivariate Probability Simulators for Maximum Likelihood Estimation of Limited Dependent Variable Models," Cowles Foundation Discussion Papers 960, Cowles Foundation for Research in Economics, Yale University.
- Chamberlain, Gary, 1980. "Analysis of Covariance with Qualitative Data," Review of Economic Studies, Wiley Blackwell, vol. 47(1), pages 225-38, January.
- Jain, Dipak C & Vilcassim, Naufel J & Chintagunta, Pradeep K, 1994. "A Random-Coefficients Logit Brand-Choice Model Applied to Panel Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 317-28, July.
- Brownstone, David & Small, Kenneth A, 1989. "Efficient Estimation of Nested Logit Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(1), pages 67-74, January.
- Manski, Charles F & Lerman, Steven R, 1977. "The Estimation of Choice Probabilities from Choice Based Samples," Econometrica, Econometric Society, vol. 45(8), pages 1977-88, November.
- GRAMMIG, Joachim & HUJER, Reinhard & SCHEIDLER, Michael, 2001. "The econometrics of airline network management," CORE Discussion Papers 2001055, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Su, Qing & Zhou, Liren, 2012. "Parking management, financial subsidies to alternatives to drive alone and commute mode choices in Seattle," Regional Science and Urban Economics, Elsevier, vol. 42(1-2), pages 88-97.
- F Alpizar & F Carlsson & P Martinsson, 2003.
"Using Choice Experiments for Non-Market Valuation,"
Economic Issues Journal Articles,
Economic Issues, vol. 8(1), pages 83-110, March.
- Peter Martinsson, 2002. "Using Choice Experiments for Non-Market Valuation," EEPSEA Special and Technical Paper sp200205t2, Economy and Environment Program for Southeast Asia (EEPSEA), revised May 2002.
- Alpizar, Francisco & Carlsson, Fredrik & Martinsson, Peter, 2001. "Using Choice Experiments for Non-Market Valuation," Working Papers in Economics 52, University of Gothenburg, Department of Economics.
- Christiaan Behrens & Eric Pels, 2009. "Intermodal Competition in The London-Paris Passenger Market: High-Speed Rail and Air Transport," Tinbergen Institute Discussion Papers 09-051/3, Tinbergen Institute.
- Wen, Chieh-Hua & Koppelman, Frank S., 2001. "The generalized nested logit model," Transportation Research Part B: Methodological, Elsevier, vol. 35(7), pages 627-641, August.
- Fosgerau, M. & Bierlaire, M., 2009. "Discrete choice models with multiplicative error terms," Transportation Research Part B: Methodological, Elsevier, vol. 43(5), pages 494-505, June.
- Michael Scheidler & Reinhard Hujer & Joachim Grammig, 2005. "Discrete choice modelling in airline network management," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(4), pages 467-486.
- Colombo, Sergio & Hanley, Nicholas & Louviere, Jordan, 2008.
"Modelling preference heterogeneity in stated choice data: an analysis for public goods generated by agriculture,"
Stirling Economics Discussion Papers
2008-28, University of Stirling, Division of Economics.
- Sergio Colombo & Nick Hanley & Jordan Louviere, 2009. "Modeling preference heterogeneity in stated choice data: an analysis for public goods generated by agriculture," Agricultural Economics, International Association of Agricultural Economists, vol. 40(3), pages 307-322, 05.
- Kim, Sooil & Haab, Timothy C., 2005. "Generalized Estimation Methods for Non-i.i.d. Binary Data: An Application to Dichotomous Choice Contingent Valuation," 2005 Annual meeting, July 24-27, Providence, RI 19138, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
- Behrens, Christiaan & Pels, Eric, 2012. "Intermodal competition in the London–Paris passenger market: High-Speed Rail and air transport," Journal of Urban Economics, Elsevier, vol. 71(3), pages 278-288.
- Marcucci, Edoardo & Gatta, Valerio, 2012.
"Dissecting preference heterogeneity in consumer stated choices,"
Transportation Research Part E: Logistics and Transportation Review,
Elsevier, vol. 48(1), pages 331-339.
- Edoardo Marcucci & Valerio Gatta, 2011. "Dissecting Preference Heterogeneity In Consumer Stated Choices," Working Papers 0311, CREI Università degli Studi Roma Tre, revised 2011.
- Fosgerau, Mogens & Bierlaire, Michel, 2007. "Circumventing the problem of the scale: discrete choice models with multiplicative error terms," MPRA Paper 3901, University Library of Munich, Germany.
- Li, Baibing, 2011. "The multinomial logit model revisited: A semi-parametric approach in discrete choice analysis," Transportation Research Part B: Methodological, Elsevier, vol. 45(3), pages 461-473, March.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.