Spatial Double Generalized Beta Regression Models: Extensions and Application to Study Quality of Education in Colombia

In this article, a proposed Bayesian extension of the generalized beta spatial regression models is applied to the analysis of the quality of education in Colombia. We briefly revise the beta distribution and describe the joint modeling approach for the mean and dispersion parameters in the spatial...

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Bibliographic Details
Published in:Journal of educational and behavioral statistics 2013-12, Vol.38 (6), p.604-628
Main Authors: Cepeda-Cuervo, Edilberto, Núñez-Antón, Vicente
Format: Article
Language:English
Subjects:
Academic Achievement
Bayesian analysis
Bayesian Statistics
Beta Densities
Colombia
Economic geography
Economic models
Educational Quality
Educational Research
Elementary school students
Equations (Mathematics)
Foreign Countries
Illiteracy
Language Arts
Markov Processes
Mathematical independent variables
Mathematical models
Mathematics Achievement
Monte Carlo Methods
Musical intervals
Parametric models
Quality of education
Reading Achievement
Regression (Statistics)
Regression analysis
Research Methodology
Secondary Education
Spatial models
Standard deviation
Statistical Analysis
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Summary:In this article, a proposed Bayesian extension of the generalized beta spatial regression models is applied to the analysis of the quality of education in Colombia. We briefly revise the beta distribution and describe the joint modeling approach for the mean and dispersion parameters in the spatial regression models' setting. Finally, we motivate the need for the innovative use of the generalized beta spatial regression model to the study of the performance of school children in Mathematics and Language, as well as in the analysis of illiteracy data, and present its results in the context of evaluating the quality of education in Colombia.
ISSN:1076-9986
1935-1054
DOI:10.3102/1076998613499779