IDEAS home Printed from https://ideas.repec.org/a/sot/journl/y2007i37p35-61.html
   My bibliography  Save this article

A systematic comparison of continuous and discrete mixture models

Author

Listed:
  • Hess, S.
  • Bierlaire, Michel
  • Polak, J.W.

Abstract

Modellers are increasingly relying on the use of continuous random coefficients models, such as Mixed Logit, for the representation of variations in tastes across individuals. In this paper, we provide an in-depth comparison of the performance of the Mixed Logit model with that of its far less commonly used discrete mixture counterpart, making use of a combination of real and simulated datasets. The results not only show significant computational advantages for the discrete mixture approach, but also highlight greater flexibility, and show that, across a host of scenarios, the discrete mixture models are able to offer comparable or indeed superior model performance.

Suggested Citation

  • Hess, S. & Bierlaire, Michel & Polak, J.W., 2007. "A systematic comparison of continuous and discrete mixture models," European Transport \ Trasporti Europei, ISTIEE, Institute for the Study of Transport within the European Economic Integration, issue 37, pages 35-61.
  • Handle: RePEc:sot:journl:y:2007:i:37:p:35-61
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10077/5957
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Greene, William H. & Hensher, David A., 2003. "A latent class model for discrete choice analysis: contrasts with mixed logit," Transportation Research Part B: Methodological, Elsevier, vol. 37(8), pages 681-698, September.
    3. Cirillo, C. & Axhausen, K.W., 2006. "Evidence on the distribution of values of travel time savings from a six-week diary," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(5), pages 444-457, June.
    4. Fosgerau, Mogens, 2006. "Investigating the distribution of the value of travel time savings," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 688-707, September.
    5. Hess, Stephane & Train, Kenneth E. & Polak, John W., 2006. "On the use of a Modified Latin Hypercube Sampling (MLHS) method in the estimation of a Mixed Logit Model for vehicle choice," Transportation Research Part B: Methodological, Elsevier, vol. 40(2), pages 147-163, February.
    6. Hess, Stephane & Bierlaire, Michel & Polak, John W., 2005. "Estimation of value of travel-time savings using mixed logit models," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(2-3), pages 221-236.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Rommel, Jens & Sagebiel, Julian & Müller, Jakob R., 2016. "Quality uncertainty and the market for renewable energy: Evidence from German consumers," Renewable Energy, Elsevier, vol. 94(C), pages 106-113.
    2. Meginnis, Keila & Campbell, Danny, 2017. "Students’ preferences for attributes of postgraduate economics modules: Evidence from a multi-profile best-worst scaling survey," International Review of Economics Education, Elsevier, vol. 24(C), pages 18-27.
    3. Arentze, Theo A., 2015. "Individuals' social preferences in joint activity location choice: A negotiation model and empirical evidence," Journal of Transport Geography, Elsevier, vol. 48(C), pages 76-84.
    4. Seda Erdem & Danny Campbell & Arne Risa Hole, 2015. "Accounting for Attribute‐Level Non‐Attendance in a Health Choice Experiment: Does it Matter?," Health Economics, John Wiley & Sons, Ltd., vol. 24(7), pages 773-789, July.
    5. Stephane Hess, 2014. "Latent class structures: taste heterogeneity and beyond," Chapters, in: Stephane Hess & Andrew Daly (ed.), Handbook of Choice Modelling, chapter 14, pages 311-330, Edward Elgar Publishing.
    6. Christian Pfarr & Andreas Schmid & Morten Raun Mørkbak, 2018. "Modelling Heterogeneous Preferences for Income Redistribution–An Application of Continuous and Discrete Distributions," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(2), pages 270-294, June.
    7. Sandorf, Erlend Dancke & Campbell, Danny & Hanley, Nick, 2017. "Disentangling the influence of knowledge on attribute non-attendance," Journal of choice modelling, Elsevier, vol. 24(C), pages 36-50.
    8. Edel Doherty & Danny Campbell & Stephen Hynes, 2013. "Models of Site-choice for Walks in Rural Ireland: Exploring Cost Heterogeneity," Journal of Agricultural Economics, Wiley Blackwell, vol. 64(2), pages 446-466, June.
    9. Yuan, Yuan & You, Wen & Boyle, Kevin J., 2015. "A guide to heterogeneity features captured by parametric and nonparametric mixing distributions for the mixed logit model," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205733, Agricultural and Applied Economics Association.
    10. Erlend Dancke Sandorf & Danny Campbell & Nick Hanley, 2015. "Disentangling the Influence of Knowledge on Processing Strategies in Choice Modelling," Discussion Papers in Environment and Development Economics 2015-02, University of St. Andrews, School of Geography and Sustainable Development.
    11. Sagebiel, Julian, 2017. "Preference heterogeneity in energy discrete choice experiments: A review on methods for model selection," Renewable and Sustainable Energy Reviews, Elsevier, vol. 69(C), pages 804-811.
    12. Tinessa, Fiore & Marzano, Vittorio & Papola, Andrea, 2020. "Mixing distributions of tastes with a Combination of Nested Logit (CoNL) kernel: Formulation and performance analysis," Transportation Research Part B: Methodological, Elsevier, vol. 141(C), pages 1-23.
    13. Stephane Hess & Denis Bolduc & John Polak, 2010. "Random covariance heterogeneity in discrete choice models," Transportation, Springer, vol. 37(3), pages 391-411, May.
    14. Doherty, Edel & Campbell, Danny & Hynes, Stephen, 2012. "Exploring cost heterogeneity in recreational demand," Working Papers 148832, National University of Ireland, Galway, Socio-Economic Marine Research Unit.
    15. Jensen, Jørgen Dejgaard & Mørkbak, Morten Raun & Nordström, Jonas, 2012. "Economic Costs and Benefits of Promoting Healthy Takeaway Meals at Workplace Canteens," Journal of Benefit-Cost Analysis, Cambridge University Press, vol. 3(4), pages 1-27, December.
    16. Pfarr, Christian & Schmid, Andreas & Mørkbak, Morten Raun, 2015. "Latent characteristics and preferences for income redistribution," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113001, Verein für Socialpolitik / German Economic Association.
    17. José Grisolía & Kenneth Willis, 2012. "A latent class model of theatre demand," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 36(2), pages 113-139, May.
    18. Varela, Elsa & Jacobsen, Jette Bredahl & Soliño, Mario, 2014. "Understanding the heterogeneity of social preferences for fire prevention management," Ecological Economics, Elsevier, vol. 106(C), pages 91-104.
    19. Legrand D. F, Saint-Cyr, 2017. "Farm heterogeneity and agricultural policy impacts on size dynamics: evidence from France," Working Papers SMART 17-04, INRAE UMR SMART.
    20. Zhao, Xiaoli & Cai, Qiong & Li, Shujie & Ma, Chunbo, 2018. "Public preferences for biomass electricity in China," Renewable and Sustainable Energy Reviews, Elsevier, vol. 95(C), pages 242-253.
    21. Andrew Daly & Stephane Hess & Kenneth Train, 2012. "Assuring finite moments for willingness to pay in random coefficient models," Transportation, Springer, vol. 39(1), pages 19-31, January.
    22. Pfarr, Christian & Schmid, Andreas & Mørkbak, Morten Raun, 2014. "Identifying latent interest-groups: An analysis of heterogeneous preferences for income-redistribution," MPRA Paper 58823, University Library of Munich, Germany.
    23. Elsa Varela & Zein Kallas, 2022. "Societal preferences for the conservation of traditional pig breeds and their agroecosystems: Addressing preference heterogeneity and protest responses through deterministic allocation and scale‐exten," Journal of Agricultural Economics, Wiley Blackwell, vol. 73(3), pages 761-788, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Börjesson, Maria & Eliasson, Jonas, 2014. "Experiences from the Swedish Value of Time study," Transportation Research Part A: Policy and Practice, Elsevier, vol. 59(C), pages 144-158.
    2. Akshay Vij & Rico Krueger, 2018. "Random taste heterogeneity in discrete choice models: Flexible nonparametric finite mixture distributions," Papers 1802.02299, arXiv.org.
    3. Vij, Akshay & Krueger, Rico, 2017. "Random taste heterogeneity in discrete choice models: Flexible nonparametric finite mixture distributions," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 76-101.
    4. Small, Kenneth A., 2012. "Valuation of travel time," Economics of Transportation, Elsevier, vol. 1(1), pages 2-14.
    5. Fosgerau, Mogens & Bierlaire, Michel, 2007. "A practical test for the choice of mixing distribution in discrete choice models," Transportation Research Part B: Methodological, Elsevier, vol. 41(7), pages 784-794, August.
    6. Martínez-Pardo, Ana & Orro, Alfonso & Garcia-Alonso, Lorena, 2020. "Analysis of port choice: A methodological proposal adjusted with public data," Transportation Research Part A: Policy and Practice, Elsevier, vol. 136(C), pages 178-193.
    7. Tabasi, Maliheh & Rose, John M. & Pellegrini, Andrea & Hossein Rashidi, Taha, 2024. "An empirical investigation of the distribution of travellers’ willingness-to-pay: A comparison between a parametric and nonparametric approach," Transport Policy, Elsevier, vol. 146(C), pages 312-321.
    8. Fabian Bastin & Cinzia Cirillo & Philippe L. Toint, 2010. "Estimating Nonparametric Random Utility Models with an Application to the Value of Time in Heterogeneous Populations," Transportation Science, INFORMS, vol. 44(4), pages 537-549, November.
    9. Daziano, Ricardo A. & Achtnicht, Martin, 2014. "Accounting for uncertainty in willingness to pay for environmental benefits," Energy Economics, Elsevier, vol. 44(C), pages 166-177.
    10. Börjesson, Maria & Fosgerau, Mogens & Algers, Staffan, 2012. "Catching the tail: Empirical identification of the distribution of the value of travel time," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(2), pages 378-391.
    11. Rico Krueger & Akshay Vij & Taha H. Rashidi, 2018. "A Dirichlet Process Mixture Model of Discrete Choice," Papers 1801.06296, arXiv.org.
    12. Fosgerau, Mogens & Hess, Stephane, 2008. "Competing methods for representing random taste heterogeneity in discrete choice models," MPRA Paper 10038, University Library of Munich, Germany.
    13. Siliang Luan & Qingfang Yang & Zhongtai Jiang & Huxing Zhou & Fanyun Meng, 2022. "Analyzing Commute Mode Choice Using the LCNL Model in the Post-COVID-19 Era: Evidence from China," IJERPH, MDPI, vol. 19(9), pages 1-26, April.
    14. Laura Eboli & Gabriella Mazzulla, 2014. "Investigating the heterogeneity of bus users' preferences through discrete choice modelling," Transportation Planning and Technology, Taylor & Francis Journals, vol. 37(8), pages 695-710, December.
    15. Sfeir, Georges & Abou-Zeid, Maya & Kaysi, Isam, 2020. "Multivariate count data models for adoption of new transport modes in an organization-based context," Transport Policy, Elsevier, vol. 91(C), pages 59-75.
    16. Stephane Hess, 2014. "Latent class structures: taste heterogeneity and beyond," Chapters, in: Stephane Hess & Andrew Daly (ed.), Handbook of Choice Modelling, chapter 14, pages 311-330, Edward Elgar Publishing.
    17. Maria Börjesson, 2014. "Inter-temporal variation in the travel time and travel cost parameters of transport models," Transportation, Springer, vol. 41(2), pages 377-396, March.
    18. Fosgerau, Mogens & Hess, Stephane, 2009. "A comparison of methods for representing random taste heterogeneity in discrete choice models," European Transport \ Trasporti Europei, ISTIEE, Institute for the Study of Transport within the European Economic Integration, issue 42, pages 1-25.
    19. Paleti, Rajesh, 2018. "Generalized multinomial probit Model: Accommodating constrained random parameters," Transportation Research Part B: Methodological, Elsevier, vol. 118(C), pages 248-262.
    20. Bouscasse, Hélène & de Lapparent, Matthieu, 2019. "Perceived comfort and values of travel time savings in the Rhône-Alpes Region," Transportation Research Part A: Policy and Practice, Elsevier, vol. 124(C), pages 370-387.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sot:journl:y:2007:i:37:p:35-61. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Romeo Danielis (email available below). General contact details of provider: https://edirc.repec.org/data/xxxxxxx.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.