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A flexible spatially dependent discrete choice model: Formulation and application to teenagers' weekday recreational activity participation

  • Bhat, Chandra R.
  • Sener, Ipek N.
  • Eluru, Naveen

This study proposes a simple and practical Composite Marginal Likelihood (CML) inference approach to estimate ordered-response discrete choice models with flexible copula-based spatial dependence structures across observational units. The approach is applicable to data sets of any size, provides standard error estimates for all parameters, and does not require any simulation machinery. The combined copula-CML approach proposed here should be appealing for general multivariate modeling contexts because it is simple and flexible, and is easy to implement The ability of the CML approach to recover the parameters of a spatially ordered process is evaluated using a simulation study, which clearly points to the effectiveness of the approach. In addition, the combined copula-CML approach is applied to study the daily episode frequency of teenagers' physically active and physically inactive recreational activity participation, a subject of considerable interest in the transportation, sociology, and adolescence development fields. The data for the analysis are drawn from the 2000 San Francisco Bay Area Survey. The results highlight the value of the copula approach that separates the univariate marginal distribution form from the multivariate dependence structure, as well as underscore the need to consider spatial effects in recreational activity participation. The variable effects indicate that parents' physical activity participation constitutes the most important factor influencing teenagers' physical activity participation levels. Thus, an effective way to increase active recreation among teenagers may be to direct physical activity benefit-related information and education campaigns toward parents, perhaps at special physical education sessions at the schools of teenagers.

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Article provided by Elsevier in its journal Transportation Research Part B: Methodological.

Volume (Year): 44 (2010)
Issue (Month): 8-9 (September)
Pages: 903-921

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Handle: RePEc:eee:transb:v:44:y::i:8-9:p:903-921
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  1. de Leon, A.R., 2005. "Pairwise likelihood approach to grouped continuous model and its extension," Statistics & Probability Letters, Elsevier, vol. 75(1), pages 49-57, November.
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  5. Bhat, Chandra R., 2003. "Simulation estimation of mixed discrete choice models using randomized and scrambled Halton sequences," Transportation Research Part B: Methodological, Elsevier, vol. 37(9), pages 837-855, November.
  6. Cristiano Varin & Paolo Vidoni, 2005. "A note on composite likelihood inference and model selection," Biometrika, Biometrika Trust, vol. 92(3), pages 519-528, September.
  7. Varin, Cristiano & Vidoni, Paolo, 2006. "Pairwise likelihood inference for ordinal categorical time series," Computational Statistics & Data Analysis, Elsevier, vol. 51(4), pages 2365-2373, December.
  8. A S Fotheringham, 1983. "Some Theoretical Aspects of Destination Choice and Their Relevance to Production-Constrained Gravity Models," Environment and Planning A, , vol. 15(8), pages 1121-1132, August.
  9. Cristiano Varin & Paolo Vidoni, 2009. "Pairwise Likelihood Inference for General State Space Models," Econometric Reviews, Taylor & Francis Journals, vol. 28(1-3), pages 170-185.
  10. Bhat, Chandra R. & Eluru, Naveen, 2009. "A copula-based approach to accommodate residential self-selection effects in travel behavior modeling," Transportation Research Part B: Methodological, Elsevier, vol. 43(7), pages 749-765, August.
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  12. Bhat, Chandra R. & Srinivasan, Sivaramakrishnan & Sen, Sudeshna, 2006. "A joint model for the perfect and imperfect substitute goods case: Application to activity time-use decisions," Transportation Research Part B: Methodological, Elsevier, vol. 40(10), pages 827-850, December.
  13. Chandra Bhat & Ipek Sener, 2009. "A copula-based closed-form binary logit choice model for accommodating spatial correlation across observational units," Journal of Geographical Systems, Springer, vol. 11(3), pages 243-272, September.
  14. Kjersti Aas & Daniel Berg, 2009. "Models for construction of multivariate dependence - a comparison study," The European Journal of Finance, Taylor & Francis Journals, vol. 15(7-8), pages 639-659.
  15. Guan, Yongtao, 2006. "A Composite Likelihood Approach in Fitting Spatial Point Process Models," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 1502-1512, December.
  16. Kurt J. Beron & James C. Murdoch & Wim P. M. Vijverberg, 2003. "Why Cooperate? Public Goods, Economic Power, and the Montreal Protocol," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 286-297, May.
  17. Rachel Copperman & Chandra Bhat, 2007. "An analysis of the determinants of children’s weekend physical activity participation," Transportation, Springer, vol. 34(1), pages 67-87, January.
  18. Trivedi, Pravin K. & Zimmer, David M., 2007. "Copula Modeling: An Introduction for Practitioners," Foundations and Trends(R) in Econometrics, now publishers, vol. 1(1), pages 1-111, April.
  19. Nikolay Nenovsky & S. Statev, 2006. "Introduction," Post-Print halshs-00260898, HAL.
  20. Varin, Cristiano & Host, Gudmund & Skare, Oivind, 2005. "Pairwise likelihood inference in spatial generalized linear mixed models," Computational Statistics & Data Analysis, Elsevier, vol. 49(4), pages 1173-1191, June.
  21. Bhat, Chandra R., 2008. "The multiple discrete-continuous extreme value (MDCEV) model: Role of utility function parameters, identification considerations, and model extensions," Transportation Research Part B: Methodological, Elsevier, vol. 42(3), pages 274-303, March.
  22. Robin Henderson, 2003. "A serially correlated gamma frailty model for longitudinal count data," Biometrika, Biometrika Trust, vol. 90(2), pages 355-366, June.
  23. Antonio Páez, 2007. "Spatial perspectives on urban systems: developments and directions," Journal of Geographical Systems, Springer, vol. 9(1), pages 1-6, April.
  24. A S Fotheringham, 1983. "Some theoretical aspects of destination choice and their relevance to production-constrained gravity models," Environment and Planning A, Pion Ltd, London, vol. 15(8), pages 1121-1132, August.
  25. Cristiano Varin, 2008. "On composite marginal likelihoods," AStA Advances in Statistical Analysis, Springer, vol. 92(1), pages 1-28, February.
  26. Bhat, Chandra R., 2000. "A multi-level cross-classified model for discrete response variables," Transportation Research Part B: Methodological, Elsevier, vol. 34(7), pages 567-582, September.
  27. Caragea, Petruta C. & Smith, Richard L., 2007. "Asymptotic properties of computationally efficient alternative estimators for a class of multivariate normal models," Journal of Multivariate Analysis, Elsevier, vol. 98(7), pages 1417-1440, August.
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  29. Ipek Sener & Rachel Copperman & Ram Pendyala & Chandra Bhat, 2008. "An analysis of children’s leisure activity engagement: examining the day of week, location, physical activity level, and fixity dimensions," Transportation, Springer, vol. 35(5), pages 673-696, August.
  30. repec:sae:ecolab:v:16:y:2006:i:2:p:1-2 is not listed on IDEAS
  31. Bhat, Chandra R. & Guo, Jessica Y., 2007. "A comprehensive analysis of built environment characteristics on household residential choice and auto ownership levels," Transportation Research Part B: Methodological, Elsevier, vol. 41(5), pages 506-526, June.
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