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30-06-2021

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

Authors: Elton G. Aráujo, Julio C. S. Vasconcelos, Denize P. dos Santos, Edwin M. M. Ortega, Dalton de Souza, João P. F. Zanetoni

Published in: Annals of Data Science | Issue 4/2023

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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.

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Title: The Zero-Inflated Negative Binomial Semiparametric Regression Model: Application to Number of Failing Grades Data
Authors: Elton G. Aráujo
Julio C. S. Vasconcelos
Denize P. dos Santos
Edwin M. M. Ortega
Dalton de Souza
João P. F. Zanetoni
Publication date: 30-06-2021
Publisher: Springer Berlin Heidelberg
Published in: Annals of Data Science / Issue 4/2023
Print ISSN: 2198-5804
Electronic ISSN: 2198-5812
DOI: https://doi.org/10.1007/s40745-021-00350-z

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