Estimating the added value of critical reading competence in college students using statistical modeling

Abstract
This study develops a model to predict students' scores and added value in the critical reading competency at Luis Amigó Catholic University, Medellín campus (Colombia). The institutional added value is assessed by comparing results from the Saber 11 test with an institutional exam conducted in the fifth semester. A linear correlation matrix was used to identify statistically significant variables at a 95% confidence level, with the accumulated average emerging as the most representative variable. Assumptions of linearity, normality, independence, collinearity, and homoscedasticity were verified. Outliers were identified using the William diagram, showing that most data adequately describe the model. Quintile analysis reveals that 35% of students exceeded the average in both tests, 23% showed improvement in the institutional exam, 25.2% had consistently low scores, and 16.8% performed better on the Saber 11 test.
Keywords
critical reading, discursive strategies, statistical modelling, added value
Author Biography
Gabriel Jaime Posada-Hernández
Ingeniero Forestal, Magíster en Estudios Urbano Regionales
Mauricio López-Bonilla
Ingeniero electrónico, Magíster en Ingeniería Eléctrica.
Diego Alejandro Uribe-Suarez
Ingeniero Mecánico, Doctor en Mecánica Computacional y Materiales
Viviana Gómez-Ceballos
Ingeniera Química, Doctora en Ingeniería
Luis Fernando Cardona-Palacio
Ingeniero Químico, Doctor en Ingeniería
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