On jointly analyzing the physical activity participation levels of individuals in a family unit using a multivariate copula framework

Journal of Choice Modelling

Volumn 3, Issue 3, 2010, Pages 1-38

  Sener, Ipek N ^a   Eluru, Naveen ^b   Bhat, Chandra R ^c  

^a TEXAS A AND M UNIVERSITY SYSTEM   (United States)

^b MCGILL UNIVERSITY   (Canada)

^c The University of Texas at Austin   (United States)

Author keywords

Activity based travel analysis; Copulas; Data clustering; Family and public health; Physical activity; Social dependency

Indexed keywords

EID: 80455124413     PISSN: 17555345     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1755-5345(13)70012-5     Document Type: Article

References (87)

1. Allender, S., G. Cowburn, C. Foster. 2006. Understanding participation in sport and physical activity among children and adults: a review of qualitative studies. Health Education Research, 21 (6), 826-835. (Pubitemid 44899945)
2. Azevedo, M. R., C. L. P. Araujo, F. F. Reicher, F. V. Siqueria, M. C. da Silva, and P. C. Halla. 2007. Gender differences in leisure-time physical activity. International Journal of Public Health, 52 (1), 8-15. (Pubitemid 46455115)
3. Ben-Akiva, M., and S. Lerman. 1985. Discrete Choice Analysis: Theory and Application to Travel Demand. MIT Press, Cambridge, MA.
4. Bhat, C.R. (2000) A multi-level cross-classified model for discrete response variables. Transportation Research Part B, 34 (7), 567-582. (Pubitemid 30491729)
5. Bhat, C. R. 2009. A new generalized Gumbel copula for multivariate distributions. Technical paper, Department of Civil, Architectural and Environmental Engineering, The University of Texas at Austin, August 2009.
6. Bhat, C. R., and N. Eluru. 2009. A copula-based approach to accommodate residential self-selection in travel behavior modeling. Transportation Research Part B, 43 (7), 749-765.
7. Bhat, C. R., and R. Gossen. 2004. A mixed multinomial logit model analysis of weekend recreational episode type choice. Transportation Research Part B, 38 (9), 767-787. (Pubitemid 38825773)
8. Bhat, C. R., and J. Y. Guo. 2007. A comprehensive analysis of built environment characteristics on household residential choice and auto ownership levels. Transportation Research Part B, 41 (5), 506-526. (Pubitemid 46126740)
9. Bhat, C. R., and I. N. Sener. 2009. A copula-based closed-form binary logit choice model for accommodating spatial correlation across observational units. Journal of Geographical Systems, 11 (3), 243-272.
10. Bhat, C. R., and H. Zhao. 2002. The spatial analysis of activity stop generation. Transportation Research Part B, 36 (6), 557-575. (Pubitemid 34444177)
11. Bhat, C. R., I. N. Sener, and N. Eluru. 2010. A flexible spatially dependent discrete choice model: formulation and application to teenagers' weekday recreational activity participation. Transportation Research Part B, 44 (8-9), 903-921.
12. Bottai, M., N. Salvati, and N. Orsini. 2006. Multilevel models for analyzing people's daily movement behavior. Journal of Geographical Systems, 8 (1), 97-108. (Pubitemid 43280270)
13. Center for Disease Control (CDC). 2005. Positive parenting tips for healthy child development. Department of Health and Human Services, National Center on Birth Defects and Developmental Disabilities
14. Center for Disease Control (CDC). 2006. Youth risk behavior surveillance-United States, 2005. Morbidity and Mortality Weekly Report 55, No. SS-5, Department of Health and Human Services.
15. Cervero, R. and M. Duncan. 2003. Walking, bicycling, and urban landscapes: evidence from the San Francisco Bay Area. American Journal of Public Health, 93 (9), 1478-1483. (Pubitemid 38477672)
16. Chamberlain, G. 1980. Analysis of covariance with qualitative data. Review of Economic Studies, 47 (1), 225-238.
17. Clayton, D. G. 1978. A model for association in bivariate life tables and it's application in epidemiological studies of family tendency in chronic disease incidence. Biometrika, 65 (1), 141-151. (Pubitemid 8308396)
18. Cleland, V., A. Venn, J. Fryer, T. Dwyer, and L. Blizzard. 2005. Parental exercise is associated with Australian children's extracurricular sports participation and cardiorespiratory fitness: a cross-sectional study. International Journal of Behavioral Nutrition and Physical Activity, 2 (3).
19. Collins, B. S., A. L. Marshall, and Y. Miller. 2007. Physical activity in women with young children: how can we assess "anything that's not sitting"? Women and Health, 45 (2), 95-116.
20. Copperman, R. B., and C. R. Bhat. 2007a. An analysis of the determinants of children's weekend physical activity participation. Transportation, 34 (1), 67-87. (Pubitemid 46165343)
21. Copperman, R. B., and C. R. Bhat. 2007b. An exploratory analysis of children's daily time-use and activity patterns using the Child Development Supplement (CDS) to the US Panel Study of Income Dynamics (PSID). Transportation Research Record, 2021, 36-44. (Pubitemid 351322107)
22. Czado, C., and S. Prokopenko. 2008. Modeling transport mode decisions using Hierarchical binary spatial regression models with cluster effects. Statistical Modeling, 8 (4), 315-345.
23. Davison, K. K, T. M. Cutting, and L. L. Birch. 2003. Parents' activity-related parenting practices predict girls' physical activity. Medicine & Science in Sports & Exercise, 35 (9), 1589-95. (Pubitemid 37087591)
24. Day, K. 2006. Active living and social justice: planning for physical activity in low-income, Black, and Latino communities. Journal of American Planning Association, 72 (1), 88-99.
25. Dill, J., and T. Carr. 2003. Bicycle commuting and facilities in major U.S. cities: if you build them, commuters will use them - another look. Paper presented at the 82nd Annual Meeting of the Transportation Research Board, Washington DC.
26. Dunton G. F., D. Berrigan, R. Ballard-Barbash, B. I. Graubard and A. A. Atienza. 2008. Social and physical environments of sports and exercise reported among adults in the American Time Use Survey. Preventive Medicine, 47 (5), 519-524.
27. Eccles, J. S. 1999. The development of children ages 6 to 14. The Future of Children, 9 (2), 30-44. (Pubitemid 30414090)
28. Ferdous, N., N. Eluru, C. R. Bhat, and I. Meloni. 2010. A multivariate ordered response model system for adults' weekday activity episode generation by activity purpose and social context. Transportation Research Part B, 44 (8-9), 903-921.
29. Ferreira, I., K. Horst, W. Wendel-Vos, S. Kremers, F. van Lenthe, and J. Brug. 2007. Environmental correlates of physical activity in youth - a review and update. Obesity Reviews, 8 (2), 129-154. (Pubitemid 46239441)
30. Fotheringham, A. S. 1983. Some theoretical aspects of destination choice and their relevance to production-constrained gravity models. Environment and Planning A, 15 (8), 1121-1132.
31. Frank, M. J. 1979. On the simultaneous associativity of F(x, y) and x + y - F(x, y). Aequationes Mathematicae, 19 (1), 194-226.
32. Genius, M., and E. Strazzera. 2008. Applying the copula approach to sample selection modeling. Applied Economics, 40 (11), 1443-1455.
33. Giles-Corti, B., and R. J. Donovan. 2002. The relative influence of individual, social and physical environment determinants of physical activity. Social Science and Medicine, 54 (12), 1793-1812. (Pubitemid 34462157)
34. Goodell, S., and C. H. Williams. 2007. The built environment and physical activity: what is the relationship? Policy Brief No. 11, The Synthesis Project, Robert Wood Johnson Foundation.
35. Gordon-Larsen, P., R. G. McMurray, and B. M. Popkin. 2005. Determinants of adolescent physical activity and inactivity patterns. Pediatrics, 105 (6), E83.
36. Gordon-Larsen, P., M. Nelson, P. Page, and B. M. Popkin. 2006. Inequality in the built environment underlies key health disparities in physical activity and obesity. Pediatrics, 117 (2), 417-424. (Pubitemid 46071604)
37. Greene, W. H. 2003. Econometric Analysis. 5th edition, Prentice Hall, Macmillan, New York.
38. Gumbel, E. J. 1960. Bivariate exponential distributions. Journal of the American Statistical Association, 55 (292), 698-707.
39. Gustafson, S., and R. Rhodes. 2006. Parental correlates of physical activity in children and early adolescents. Sports Medicine, 36 (1), 79-97. (Pubitemid 43200330)
40. Haskell, W. L., I. M. Lee, R. R. Pate, K. E. Powell, S. N. Blair, B. A. Franklin, C. A. Macera, G. W. Heath, P. D. Thompson, and A. Bauman. 2007. Physical activity and public health: updated recommendations for adults from the ACSM and the AHA. Circulation, 116 (9), 1081-1093.
41. Hawkins, M. S, K. L. Storti, C. R. Richardson, W. C. King, S. J. Strath, R. G. Holleman, and A. M. Kriska. 2009. Objectively measures physical activity of U.S. adults by sex, age, and racial/ethnic groups: cross-sectional study. International Journal of Behavioral Nutrition and Physical Activity, 6 (31).
42. Herriges, J. A., D. J. Phaneuf, and J. L. Tobias. 2008. Estimating demand systems when outcomes are correlated counts. Journal of Econometrics, 147 (2), 282-298.
43. Hoehner C. M., L. K. B. Ramirez, M. B. Elliot, S. Handy, and R. Brownson. 2005. Perceived and objective environmental measures and physical activity among urban adults. American Journal of Preventive Medicine, 28 (2S2), 105-116. (Pubitemid 40203433)
44. Hsiao, C. (1986) Analysis of Panel Data. Cambridge University Press, Cambridge.
45. Huard, D., G. Evin, and A. C. Favre. 2006. Bayesian copula selection. Computational Statistics & Data Analysis, 51 (2), 809-822. (Pubitemid 44637308)
46. Joe, H. 1993. Parametric families of multivariate distributions with given marginals. Journal of Multivariate Analysis, 46 (2), 262-282.
47. Joe, H. 1997. Multivariate Models and Dependence Concepts. Chapman and Hall, London.
48. Kelly, L.A., J.J. Reilly, A. Fisher, C. Montgomery, A. Williamson, J.H. McColl, J.Y. Paton, and S. Grant. 2006. Effect of socioeconomic status on objectively measured physical activity. Archives of Disease in Childhood, 91 (1), 35-38. (Pubitemid 43059170)
49. Kennedy, T. L. M., A. Smith, A. T. Wells, and B. Wellman. 2008. Networked Families. Pew Internet & American Life Project, http://www.pewinternet.org/ Reports/2008/Networked-Families.aspx.
50. King, K., S. Belle, J. Brach, L. Simkin-Silverman, T. Soska, and A. Kriska. 2005. Objective measures of neighborhood environment and physical activity in older women. American Journal of Preventive Medicine, 28 (5) 461-469. (Pubitemid 40719048)
51. Lockwood, A., S. Srinivasan, and C. R. Bhat. 2005. An exploratory analysis of weekend activity patterns in the San Francisco Bay Area. Transportation Research Record, 1926, 70-78.
52. McKelvey, R. D., and W. Zavoina. 1975. A statistical model for the analysis of ordinal-level dependent variables. Journal of Mathematical Sociology, 4 (Summer), 103-120.
53. MORPACE International, Inc., 2002. Bay Area Travel Survey Final Report, March.
54. Nelsen, R. B. 2006. An Introduction to Copulas (2nd ed). Springer-Verlag, New York.
55. Nelson, M. C., and P. Gordon-Larsen. 2006. Physical activity and sedentary behavior patterns are associated with selected adolescent heath risk behaviors. Pediatrics, 117 (4), 1281-1290. (Pubitemid 46071522)
56. Norwood, B., P. Ferrier, and J. Lusk. 2001. Model selection criteria using likelihood functions and out-of-sample performance. Paper presented at the NCR-134 Conference on Applied Commodity Price Analysis, Forecasting, and Market Risk Management, St. Louis, Missouri, April 23-24.
57. Ornelas, I. J., K. M. Perreira, and G. X. Ayala. 2007. Parental Influences on Adolescent Activity: A Longitudinal Study. The International Journal of Behavioral Nutrition and Physical Activity, 4 (3).
58. Parks, S. E., R. A. Housemann, and R. C. Brownson. 2003. Differential correlates of physical activity in urban and rural adults of various socioeconomic backgrounds in the United States. Journal of Epidemiology and Community Health, 57 (1), 29-35. (Pubitemid 36054871)
59. Pinjari, A. R., N. Eluru, C. R. Bhat, R. M. Pendyala, and E. Spissu. 2008. Joint model of choice of residential neighborhood and bicycle ownership: accounting for self-selection and unobserved heterogeneity. Transportation Research Record, 2082, 17-26.
60. Pivarnik, J. M., M. Reeves, and A. P. Rafferty. 2003. Seasonal variation in adult leisure-time physical activity. Medicine & Science in Sports & Exercise, 35 (6), 1004-1008. (Pubitemid 36706289)
61. Quinn, C. 2007. The health-economic applications of copulas: methods in applied econometric research. Health, Econometrics and Data Group (HEDG) Working Paper 07/22, Department of Economics, University of York.
62. Rai, D., and H. Finch. 1997. Physical activity 'from our point of view'. Health Education Authority, London.
63. Sallis, J. F., and N. Owen. 2002. Ecological models of health behavior. In K. Glanz, B.K. Rimer, and F.M. Lewis (eds.) Health Behavior and Health Education: Theory, Research, and Practice, third ed., 462-484, Jossey-Bass, A Wiley Imprint, San Francisco, CA.
64. Sallis, J. F., J. J. Prochaska, and W. C. Taylor. 2000. A review of correlates of physical activity of children and adolescents. Medicine & Science in Sports & Exercise, 32 (5), 963-975. (Pubitemid 30230679)
65. Salmon, J., M. L. Booth, P. Phongsavan, N. Murphy, and A. Timperio. 2007. Promoting physical activity participation among children and adolescents. Epidemiologic Reviews, 29 (1), 144-159. (Pubitemid 47229646)
66. Schmidt, T. 2007. Coping with copulas. In J. Rank (ed.) Copulas - From Theory to Application in Finance, 3-34, Risk Books, London.
67. Schulz, L. O., and D. A. Schoeller. 1994. A compilation of total energy expenditures and body weights in healthy adults. American Journal of Clinical Nutrition, 60, 676-68.
68. Sener, I. N., and C. R. Bhat. 2007. An analysis of the social context of children's weekend discretionary activity participation. Transportation, 34 (6), 697-721. (Pubitemid 47470683)
69. Sener, I. N., R. B. Copperman, R. M. Pendyala, and C. R. Bhat. 2008. An analysis of children's leisure activity engagement: examining the day of week, location, physical activity level, and fixity dimensions. Transportation, 35 (5), 673-696.
70. Sener, I.N., N. Eluru, and C.R. Bhat. 2009. Who are Bicyclists? Why and How Much are they Bicycling? Transportation Research Record, 2134, 63-72.
71. Sklar, A. 1959. Fonctions de répartition à n dimensions et leurs marges. Publications de l'Institut de Statistique de L'Université de Paris, 8, 229-231.
72. Sklar, A. 1973. Random variables, joint distribution functions, and copulas. Kybernetika, 9 (6), 449-460.
73. Spissu, E., N. Eluru, I. N. Sener, C. R. Bhat, and I. Meloni. 2010. Cross-clustered model of frequency of home-based work participation in traditionally off-work hours. Transportation Research Record, 2157, 138-146.
74. Springer, A. E., S. H. Kelder, D. M. Hoelscher. 2006. Social support, physical activity and sedentary behavior among 6th-grade girls: a cross-sectional study. International Journal of Behavioral Nutrition and Physical Activity, 3 (8).
75. Srinivasan, S., and C. R. Bhat. 2008. An exploratory analysis of joint-activity participation characteristics using the American Time Use Survey. Transportation, 35 (3), 301-328.
76. Steinbeck, K. S. 2008. The importance of physical activity in the prevention of overweight and obesity in childhood: a review and an opinion. Obesity Reviews, 2 (2), 117-130.
77. Stefan, K. J., and J. D. Hunt. 2006. Age-based analysis of children in Calgary, Canada. Presented at the 85th Annual Meeting of the Transportation Research Board, Washington, D.C., January.
78. Strauss, R., D. Rodzilsky, G. Burack, and M. Colin. 2001. Psychosocial correlates of physical activity in healthy children. Archives of Pediatrics & Adolescent Medicine, 155 (8), 897-902. (Pubitemid 32729569)
79. Transportation Research Board (TRB). 2005. Does the built environment influence physical activity? Examining the Evidence. TRB Special Report 282, The National Academies.
80. Trivedi, P. K., and D. M. Zimmer. 2007. Copula modeling: an introduction for practitioners. Foundations and Trends in Econometrics, 1 (1), Now Publishers.
81. Troiano, R. P., D. Berrigan, K. W. Dodd, L. C. Masse, T. Tilert, and M. McDowell. 2008. Physical activity in the United States measures by accelerometer. Medicine & Science in Sports & Exercise, 40 (1), 181-188.
82. Trost, S. G., J. F. Sallis, R. R. Pate, P. S. Freedson, W. C. Taylor, and M. Dowda. 2003. Evaluating a Model of Parental Influence on Youth Physical Activity. American Journal of Preventive Medicine, 25 (4), 277-282. (Pubitemid 37346147)
83. Tucker, P., and J. Gilliland. 2007. The effect of season and weather on physical activity: a systematic review. Public Health, 121 (12), 909-922. (Pubitemid 350124078)
84. U.S. Department of Health and Human Services (USDHHS). 2008. 2008 Physical activity guidelines for Americans. ODPHP Publication No. U0036. Available at: http://www.health.gov/paguidelines/pdf/paguide.pdf.
85. U.S. Government Accountability Office (GAO). 2006. Childhood obesity: factors affecting physical activity. Report GAO-07-260R, Childhood Obesity and Physical Activity, Congressional Briefing. Available at: http://www.gao.gov/new. items/d07260r.pdf.
86. Wendel-Vos, W., M. Droomers, S. Kremers, J. Brug, and F. van Lenthe. 2005. Potential environmental determinants of physical activity in adults. In Environmental Determinants and Interventions for Physical Activity, Nutrition and Smoking: A Review. Edited by: Brug J, van Lenthe F. Erasmus University Medical Centre, Rotterdam.
87. Weuve, J., J. H. Kang, J. E. Manson, M. M. B. Breteler, J. H. Ware, and F. Grodstein. 2004. Physical activity including walking, and cognitive function in older women. JAMA-The Journal of the American Medical Association, 292 (12), 1454-1461. (Pubitemid 39258338)