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On accommodating spatial interactions in a Generalized Heterogeneous Data Model (GHDM) of mixed types of dependent variables

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  • Bhat, Chandra R.
  • Pinjari, Abdul R.
  • Dubey, Subodh K.
  • Hamdi, Amin S.

Abstract

We develop an econometric framework for incorporating spatial dependence in integrated model systems of latent variables and multidimensional mixed data outcomes. The framework combines Bhat's Generalized Heterogeneous Data Model (GHDM) with a spatial (social) formulation to parsimoniously introduce spatial (social) dependencies through latent constructs. The applicability of the spatial GHDM framework is demonstrated through an empirical analysis of spatial dependencies in a multidimensional mixed data bundle comprising a variety of household choices – household commute distance, residential location (density) choice, vehicle ownership, parents’ commute mode choice, and children's school mode choice – along with other measurement variables for two latent constructs – parent's safety concerns about children walking/biking to school and active lifestyle propensity. The GHDM framework identifies an intricate web of causal relationships and endogeneity among the endogenous variables. Furthermore, the spatial (social) version of the GHDM model reveals a high level of spatial (social) dependency in the latent active lifestyle propensity of different households and moderate level of spatial dependency in parents’ safety concerns. Ignoring spatial (social) dependencies in the empirical model results in inferior data fit, potential bias and statistical insignificance of the parameters corresponding to nominal variables, and underestimation of policy impacts.

Suggested Citation

  • Bhat, Chandra R. & Pinjari, Abdul R. & Dubey, Subodh K. & Hamdi, Amin S., 2016. "On accommodating spatial interactions in a Generalized Heterogeneous Data Model (GHDM) of mixed types of dependent variables," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 240-263.
  • Handle: RePEc:eee:transb:v:94:y:2016:i:c:p:240-263
    DOI: 10.1016/j.trb.2016.09.002
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    References listed on IDEAS

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    1. Chandra Bhat, 2015. "A new spatial (social) interaction discrete choice model accommodating for unobserved effects due to endogenous network formation," Transportation, Springer, vol. 42(5), pages 879-914, September.
    2. Cristiano Varin & Paolo Vidoni, 2005. "A note on composite likelihood inference and model selection," Biometrika, Biometrika Trust, vol. 92(3), pages 519-528, September.
    3. Pinkse, Joris & Slade, Margaret E., 1998. "Contracting in space: An application of spatial statistics to discrete-choice models," Journal of Econometrics, Elsevier, vol. 85(1), pages 125-154, July.
    4. Chandra R. Bhat & Rajesh Paleti & Palvinder Singh, 2014. "A Spatial Multivariate Count Model For Firm Location Decisions," Journal of Regional Science, Wiley Blackwell, vol. 54(3), pages 462-502, June.
    5. Bhat, Chandra R., 2015. "A comprehensive dwelling unit choice model accommodating psychological constructs within a search strategy for consideration set formation," Transportation Research Part B: Methodological, Elsevier, vol. 79(C), pages 161-188.
    6. Ipek Sener & Chandra Bhat, 2007. "An analysis of the social context of children’s weekend discretionary activity participation," Transportation, Springer, vol. 34(6), pages 697-721, November.
    7. Puhani, Patrick A, 2000. " The Heckman Correction for Sample Selection and Its Critique," Journal of Economic Surveys, Wiley Blackwell, vol. 14(1), pages 53-68, February.
    8. 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.
    9. Elizabeth J Wilson & Julian Marshall & Ryan Wilson & Kevin J Krizek, 2010. "By Foot, Bus or Car: Children's School Travel and School Choice Policy," Environment and Planning A, , vol. 42(9), pages 2168-2185, September.
    10. Bhat, Chandra R., 2011. "The maximum approximate composite marginal likelihood (MACML) estimation of multinomial probit-based unordered response choice models," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 923-939, August.
    11. Elizabeth J Wilson & Julian Marshall & Ryan Wilson & Kevin J Krizek, 2010. "By foot, bus or car: children’s school travel and school choice policy," Environment and Planning A, Pion Ltd, London, vol. 42(9), pages 2168-2185, September.
    12. Bhat, Chandra R. & Astroza, Sebastian & Sidharthan, Raghuprasad & Alam, Mohammad Jobair Bin & Khushefati, Waleed H., 2014. "A joint count-continuous model of travel behavior with selection based on a multinomial probit residential density choice model," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 31-51.
    13. Rashidi, Taha Hossein & Auld, Joshua & Mohammadian, Abolfazl (Kouros), 2012. "A behavioral housing search model: Two-stage hazard-based and multinomial logit approach to choice-set formation and location selection," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(7), pages 1097-1107.
    14. Bhat, Chandra R. & Astroza, Sebastian & Bhat, Aarti C. & Nagel, Kai, 2016. "Incorporating a multiple discrete-continuous outcome in the generalized heterogeneous data model: Application to residential self-selection effects analysis in an activity time-use behavior model," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 52-76.
    15. Noreen McDonald, 2008. "Children’s mode choice for the school trip: the role of distance and school location in walking to school," Transportation, Springer, vol. 35(1), pages 23-35, January.
    16. Wang, Honglin & Iglesias, Emma M. & Wooldridge, Jeffrey M., 2013. "Partial maximum likelihood estimation of spatial probit models," Journal of Econometrics, Elsevier, vol. 172(1), pages 77-89.
    17. Bhat, Chandra R. & Sardesai, Rupali, 2006. "The impact of stop-making and travel time reliability on commute mode choice," Transportation Research Part B: Methodological, Elsevier, vol. 40(9), pages 709-730, November.
    18. Terza, Joseph V. & Basu, Anirban & Rathouz, Paul J., 2008. "Two-stage residual inclusion estimation: Addressing endogeneity in health econometric modeling," Journal of Health Economics, Elsevier, vol. 27(3), pages 531-543, May.
    19. Brownstone, David & Fang, Hao (Audrey), 2014. "A vehicle ownership and utilization choice model with endogenous residential density," The Journal of Transport and Land Use, Center for Transportation Studies, University of Minnesota, vol. 7(2), pages 135-151.
    20. 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.
    21. 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.
    22. Luc Anselin, 2010. "Thirty years of spatial econometrics," Papers in Regional Science, Wiley Blackwell, vol. 89(1), pages 3-25, March.
    23. de Leon, A.R. & Zhu, Y., 2008. "ANOVA extensions for mixed discrete and continuous data," Computational Statistics & Data Analysis, Elsevier, vol. 52(4), pages 2218-2227, January.
    24. Amith Yarlagadda & Sivaramakrishnan Srinivasan, 2008. "Modeling children’s school travel mode and parental escort decisions," Transportation, Springer, vol. 35(2), pages 201-218, March.
    25. Joan Walker & Jieping Li, 2007. "Latent lifestyle preferences and household location decisions," Journal of Geographical Systems, Springer, vol. 9(1), pages 77-101, April.
    26. J. Elhorst, 2010. "Applied Spatial Econometrics: Raising the Bar," Spatial Economic Analysis, Taylor & Francis Journals, vol. 5(1), pages 9-28.
    27. Henry Saffer & Dhaval Dave & Michael Grossman & Leigh Ann Leung, 2013. "Racial, Ethnic, and Gender Differences in Physical Activity," Journal of Human Capital, University of Chicago Press, vol. 7(4), pages 378-410.
    28. Smirnov, Oleg A., 2010. "Modeling spatial discrete choice," Regional Science and Urban Economics, Elsevier, vol. 40(5), pages 292-298, September.
    29. David M. Cutler & Adriana Lleras-Muney, 2006. "Education and Health: Evaluating Theories and Evidence," NBER Working Papers 12352, National Bureau of Economic Research, Inc.
    30. Bhat, Chandra R., 2014. "The Composite Marginal Likelihood (CML) Inference Approach with Applications to Discrete and Mixed Dependent Variable Models," Foundations and Trends(R) in Econometrics, now publishers, vol. 7(1), pages 1-117, July.
    31. Ipek Sener & Chandra Bhat, 2012. "Modeling the spatial and temporal dimensions of recreational activity participation with a focus on physical activities," Transportation, Springer, vol. 39(3), pages 627-656, May.
    32. Selima Sultana & Joe Weber, 2014. "The Nature of Urban Growth and the Commuting Transition: Endless Sprawl or a Growth Wave?," Urban Studies, Urban Studies Journal Limited, vol. 51(3), pages 544-576, February.
    33. Bhat, Chandra R., 2015. "A new generalized heterogeneous data model (GHDM) to jointly model mixed types of dependent variables," Transportation Research Part B: Methodological, Elsevier, vol. 79(C), pages 50-77.
    34. Nazneen Ferdous & Chandra Bhat, 2013. "A spatial panel ordered-response model with application to the analysis of urban land-use development intensity patterns," Journal of Geographical Systems, Springer, vol. 15(1), pages 1-29, January.
    35. Broberg, Anna & Sarjala, Satu, 2015. "School travel mode choice and the characteristics of the urban built environment: The case of Helsinki, Finland," Transport Policy, Elsevier, vol. 37(C), pages 1-10.
    36. Bhat, Chandra R. & Sen, Sudeshna & Eluru, Naveen, 2009. "The impact of demographics, built environment attributes, vehicle characteristics, and gasoline prices on household vehicle holdings and use," Transportation Research Part B: Methodological, Elsevier, vol. 43(1), pages 1-18, January.
    37. Abdul Pinjari & Ram Pendyala & Chandra Bhat & Paul Waddell, 2011. "Modeling the choice continuum: an integrated model of residential location, auto ownership, bicycle ownership, and commute tour mode choice decisions," Transportation, Springer, vol. 38(6), pages 933-958, November.
    38. Bhat, Chandra R. & Sener, Ipek N. & Eluru, Naveen, 2010. "A flexible spatially dependent discrete choice model: Formulation and application to teenagers' weekday recreational activity participation," Transportation Research Part B: Methodological, Elsevier, vol. 44(8-9), pages 903-921, September.
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    Cited by:

    1. Bhat, Chandra R. & Astroza, Sebastian & Hamdi, Amin S., 2017. "A spatial generalized ordered-response model with skew normal kernel error terms with an application to bicycling frequency," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 126-148.
    2. repec:eee:transb:v:108:y:2018:i:c:p:84-105 is not listed on IDEAS

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