Generalization of the Fixed Effects Model with Interaction on Multivariate and their Application

This study applied a multivariate analysis model to investigate specifically the effect of grades and gender as independent variables on the overall rate and student rate of academic performance among 512 students at Qassim University. The Multivariate Analysis of Variance (MANOVA) was used to estimate the variances and determine if there were differences between groups, as well as to determine the effect of each of these independent variables on the dependent variables, in addition to determining the effect of the joint interaction between grades and gender on the overall rate and student rate. The results revealed that female students had higher average rates than male students, and that male students' grades were more dispersed. Notably, grades significantly impacted academic performance, while gender had no effect. The study recommends using multivariate models in educational research and suggests further studies with additional variables to enhance educational outcomes.