Author(s)

Hiba Faisal^*, Muhammad Zakria, Nazakat Ali^*, Nimra Khalid

Department of Mathematics and Statistics, University of Agriculture, Faisalabad, Pakistan.

Multilevel modeling (MLM) has emerged as a powerful statistical framework for analyzing complex data structures with nested relationships. With its hierarchical modeling approach, MLM enables researchers to account for dependencies and variations within and between different levels of a hierarchy. By explicitly modeling these relationships, MLM provides a robust and accurate analysis of data. It has become increasingly popular in the field of education. MLM enables the investigation of various research issues, the evaluation of individual and group-level indicators, and the calculation of both fixed and random effects. Overall, MLM revolutionizes data analysis by uncovering patterns, understanding contextual effects, and making more precise statistical inferences in complex datasets. For fitting multilevel models in R, use lmer function provided by lme4 package. Through this examination, the use of a multilevel model is expected to increase and revolutionize data analysis and decision-making. The Constrained Intermediate Model (CIM) and Augmented Intermediate model (AIM) deviation are compared using the Likelihood-ratio (LR) test and the ANOVA function. This study analyzes student results from the University of Agriculture Faisalabad, collected via stratified random sampling. A linear mixed-effect model under multilevel modeling estimates the impact on CGPA, considering department, gender, intermediate marks, and entry test scores. These results indicate that Entry test is a significant predictor of CGPA, but the effect of department identifier CMC on CGPA is not statistically significant.

Multilevel Modeling, Hierarchical Modeling, Intraclass Correlation Coefficient, Design Effect, Augmented Intermediate Model

Faisal, H. , Zakria, M. , Ali, N. and Khalid, N. (2024) Multilevel Modeling Approach for Hierarchical Data an Empirical Investigation. Open Journal of Statistics, 14, 689-720. doi: 10.4236/ojs.2024.146031.