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Using Multilevel Regression and Poststratification to Estimate Physical Activity Levels from Health Surveys

Author

Listed:
  • Marina Christofoletti

    (Department of Physical Education, School of Sports, Federal University of Santa Catarina, Florianópolis 88040-900, SC, Brazil)

  • Tânia R. B. Benedetti

    (Department of Physical Education, School of Sports, Federal University of Santa Catarina, Florianópolis 88040-900, SC, Brazil)

  • Felipe G. Mendes

    (Department of Physical Education, School of Sports, Federal University of Santa Catarina, Florianópolis 88040-900, SC, Brazil)

  • Humberto M. Carvalho

    (Department of Physical Education, School of Sports, Federal University of Santa Catarina, Florianópolis 88040-900, SC, Brazil)

Abstract

Background: Large-scale health surveys often consider sociodemographic characteristics and several health indicators influencing physical activity that often vary across subpopulations. Data in a survey for some small subpopulations are often not representative of the larger population. Objective: We developed a multilevel regression and poststratification (MRP) model to estimate leisure-time physical activity across Brazilian state capitals and evaluated whether the MRP outperforms single-level regression estimates based on the Brazilian cross-sectional national survey VIGITEL (2018). Methods: We used various approaches to compare the MRP and single-level model (complete-pooling) estimates, including cross-validation with various subsample proportions tested. Results: MRP consistently had predictions closer to the estimation target than single-level regression estimations. The mean absolute errors were smaller for the MRP estimates than single-level regression estimates with smaller sample sizes. MRP presented substantially smaller uncertainty estimates compared to single-level regression estimates. Overall, the MRP was superior to single-level regression estimates, particularly with smaller sample sizes, yielding smaller errors and more accurate estimates. Conclusion: The MRP is a promising strategy to predict subpopulations’ physical activity indicators from large surveys. The observations present in this study highlight the need for further research, which could, potentially, incorporate more information in the models to better interpret interactions and types of activities across target populations.

Suggested Citation

  • Marina Christofoletti & Tânia R. B. Benedetti & Felipe G. Mendes & Humberto M. Carvalho, 2021. "Using Multilevel Regression and Poststratification to Estimate Physical Activity Levels from Health Surveys," IJERPH, MDPI, vol. 18(14), pages 1-16, July.
  • Handle: RePEc:gam:jijerp:v:18:y:2021:i:14:p:7477-:d:593551
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    References listed on IDEAS

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    1. Carpenter, Bob & Gelman, Andrew & Hoffman, Matthew D. & Lee, Daniel & Goodrich, Ben & Betancourt, Michael & Brubaker, Marcus & Guo, Jiqiang & Li, Peter & Riddell, Allen, 2017. "Stan: A Probabilistic Programming Language," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 76(i01).
    2. Park, David K. & Gelman, Andrew & Bafumi, Joseph, 2004. "Bayesian Multilevel Estimation with Poststratification: State-Level Estimates from National Polls," Political Analysis, Cambridge University Press, vol. 12(4), pages 375-385.
    3. Diez-Roux, A.V., 1998. "Bringing context back into epidemiology: Variables and fallacies in multilevel analysis," American Journal of Public Health, American Public Health Association, vol. 88(2), pages 216-222.
    4. Marcela Mello Soares & Emanuella Gomes Maia & Rafael Moreira Claro, 2020. "Availability of public open space and the practice of leisure-time physical activity among the Brazilian adult population," International Journal of Public Health, Springer;Swiss School of Public Health (SSPH+), vol. 65(8), pages 1467-1476, November.
    5. Roberta Mendes Abreu Silva & Amanda Cristina de Souza Andrade & Waleska Teixeira Caiaffa & Danielle Souto de Medeiros & Vanessa Moraes Bezerra, 2020. "National Adolescent School-based Health Survey - PeNSE 2015: Sedentary behavior and its correlates," PLOS ONE, Public Library of Science, vol. 15(1), pages 1-14, January.
    6. Hanretty, Chris & Lauderdale, Benjamin E. & Vivyan, Nick, 2018. "Comparing Strategies for Estimating Constituency Opinion from National Survey Samples," Political Science Research and Methods, Cambridge University Press, vol. 6(3), pages 571-591, July.
    7. Yair Ghitza & Andrew Gelman, 2013. "Deep Interactions with MRP: Election Turnout and Voting Patterns Among Small Electoral Subgroups," American Journal of Political Science, John Wiley & Sons, vol. 57(3), pages 762-776, July.
    8. Buttice, Matthew K. & Highton, Benjamin, 2013. "How Does Multilevel Regression and Poststratification Perform with Conventional National Surveys?," Political Analysis, Cambridge University Press, vol. 21(4), pages 449-467.
    9. Johan Heyden & Stefaan Demarest & Koen Van Herck & Dirk Bacquer & Jean Tafforeau & Herman Van Oyen, 2014. "Association between variables used in the field substitution and post-stratification adjustment in the Belgian health interview survey and non-response," International Journal of Public Health, Springer;Swiss School of Public Health (SSPH+), vol. 59(1), pages 197-206, February.
    10. Jeffrey R. Lax & Justin H. Phillips, 2009. "How Should We Estimate Public Opinion in The States?," American Journal of Political Science, John Wiley & Sons, vol. 53(1), pages 107-121, January.
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