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  • 标题:A bivariate response model for studying the marks obtained in two jointly-dependent modules in higher education
  • 本地全文:下载
  • 作者:Emilio Gómez-Déniz ; Nancy Dávila Cárdenes ; María D. García Artiles
  • 期刊名称:SORT-Statistics and Operations Research Transactions
  • 印刷版ISSN:2013-8830
  • 出版年度:2017
  • 卷号:1
  • 期号:2
  • 页码:255-276
  • 语种:English
  • 出版社:SORT- Statistics and Operations Research Transactions
  • 摘要:We study the factors which may affect students’ marks in two modules, mathematics and statistics, taught consecutively in the first year of a Business Administration Studies degree course. For this purpose, we introduce a suitable bivariate regression model in which the dependent variables have bounded support and the marginal means are functions of explanatory variables. The marginal probability density functions have a classical beta distribution. Simulation experiments were performed to observe the behaviour of the maximum likelihood estimators. Comparisons with univariate beta regression models show the proposed bivariate regression model to be superior.
  • 其他摘要:We study the factors which may affect students’ marks in two modules, mathematics and statistics, taught consecutively in the first year of a Business Administration Studies degree course. For this purpose, we introduce a suitable bivariate regression model in which the dependent variables have bounded support and the marginal means are functions of explanatory variables. The marginal probability density functions have a classical beta distribution. Simulation experiments were performed to observe the behaviour of the maximum likelihood estimators. Comparisons with univariate beta regression models show the proposed bivariate regression model to be superior.
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