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Bayesian multilevel logistic regression models: a case study applied to the results of two questionnaires administered to university students

Author

Listed:
  • Cristian David Correa-Álvarez

    (Instituto Tecnológico Metropolitano (ITM))

  • Juan Carlos Salazar-Uribe

    (Universidad Nacional de Colombia (Medellín campus))

  • Luis Raúl Pericchi-Guerra

    (University of Puerto Rico)

Abstract

Bayesian multilevel models—also known as hierarchical or mixed models—are used in situations in which the aim is to model the random effect of groups or levels. In this paper, we conduct a simulation study to compare the predictive ability of 1-level Bayesian multilevel logistic regression models with that of 2-level Bayesian multilevel logistic regression models by using the prior Scaled Beta2 and inverse-gamma distributions to model the standard deviation in the 2-level. Then, these models are employed to estimate the correct answers in two questionnaires administered to university students throughout the first academic semester of 2018. The results show that 2-level models have a better predictive ability and provide more precise probability intervals than 1-level models, particularly when the prior Scaled Beta2 distribution is used to model the standard deviation in the second level. Moreover, the probability intervals of 1-level Bayesian multilevel logistic regression models proved to be more precise when Scaled Beta2 distributions, rather than an inverse-gamma distribution, are employed to model the standard deviation or when 1-level Bayesian multilevel logistic regression models, are used.

Suggested Citation

  • Cristian David Correa-Álvarez & Juan Carlos Salazar-Uribe & Luis Raúl Pericchi-Guerra, 2023. "Bayesian multilevel logistic regression models: a case study applied to the results of two questionnaires administered to university students," Computational Statistics, Springer, vol. 38(4), pages 1791-1810, December.
  • Handle: RePEc:spr:compst:v:38:y:2023:i:4:d:10.1007_s00180-022-01287-4
    DOI: 10.1007/s00180-022-01287-4
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    References listed on IDEAS

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    1. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    2. Xiaofei Wang & Nicholas G. Reich & Nicholas J. Horton, 2019. "Enriching Students’ Conceptual Understanding of Confidence Intervals: An Interactive Trivia-Based Classroom Activity," The American Statistician, Taylor & Francis Journals, vol. 73(1), pages 50-55, January.
    3. King, Gary & Zeng, Langche, 2001. "Logistic Regression in Rare Events Data," Political Analysis, Cambridge University Press, vol. 9(2), pages 137-163, January.
    4. Tang, Nian-Sheng & Duan, Xing-De, 2014. "Bayesian influence analysis of generalized partial linear mixed models for longitudinal data," Journal of Multivariate Analysis, Elsevier, vol. 126(C), pages 86-99.
    5. De la Cruz, Rolando & Meza, Cristian & Arribas-Gil, Ana & Carroll, Raymond J., 2016. "Bayesian regression analysis of data with random effects covariates from nonlinear longitudinal measurements," Journal of Multivariate Analysis, Elsevier, vol. 143(C), pages 94-106.
    6. Bornmann, Lutz & Stefaner, Moritz & de Moya Anegón, Felix & Mutz, Rüdiger, 2016. "Excellence networks in science: A Web-based application based on Bayesian multilevel logistic regression (BMLR) for the identification of institutions collaborating successfully," Journal of Informetrics, Elsevier, vol. 10(1), pages 312-327.
    7. Jara, Alejandro & Quintana, Fernando & San Marti­n, Ernesto, 2008. "Linear mixed models with skew-elliptical distributions: A Bayesian approach," Computational Statistics & Data Analysis, Elsevier, vol. 52(11), pages 5033-5045, July.
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