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The Zero-Inflated Negative Binomial Semiparametric Regression Model: Application to Number of Failing Grades Data

Author

Listed:
  • Elton G. Aráujo

    (Universidade Federal de Mato Grosso do Sul)

  • Julio C. S. Vasconcelos

    (Universidade de São Paulo)

  • Denize P. Santos

    (Universidade de São Paulo)

  • Edwin M. M. Ortega

    (Universidade de São Paulo)

  • Dalton Souza

    (Universidade Federal de Mato Grosso do Sul)

  • João P. F. Zanetoni

    (Universidade Federal de Mato Grosso do Sul)

Abstract

In this paper we study the performance of college students, measured by the number of failing grades, considering various covariables that can positively or negatively influence this performance. The students in the sample were undergraduate business majors studying at night at a federal public university in the state of Mato Grosso do Sul, Brazil. Among the factors considered are covariables that had a linear and nonlinear relationship with the students’ performance. We also observed a high percentage of zeros, the reason we used a zero-inflated semiparametric regression model based on the negative binomial distribution to analyze our dataset.We used the penalized maximum likelihood method along with analysis of the residuals to verify the model’s assumptions. We present results, discussion and conclusions about the number of subjects failed by the students.

Suggested Citation

  • Elton G. Aráujo & Julio C. S. Vasconcelos & Denize P. Santos & Edwin M. M. Ortega & Dalton Souza & João P. F. Zanetoni, 2023. "The Zero-Inflated Negative Binomial Semiparametric Regression Model: Application to Number of Failing Grades Data," Annals of Data Science, Springer, vol. 10(4), pages 991-1006, August.
    • Handle: RePEc:spr:aodasc:v:10:y:2023:i:4:d:10.1007_s40745-021-00350-z
    DOI: 10.1007/s40745-021-00350-z
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