Title: Correlation between course grades and evaluation grades based on Fruchterman-Reingold and Theil-Sen
Authors: Yingli Kong
Addresses: School of Culture and Tourism, Henan Polytechnic, Zhengzhou, 450046, China
Abstract: To address issues such as fuzzy topological structures, overlooked group differences, and the disconnect between visualisation and quantitative analysis in course grade-teaching evaluation correlation studies, this study proposes an integrated model based on Fruchterman-Reingold and Theil-Sen. Its core innovation lies in constructing a dual-module collaborative architecture: enhancing course community identification through spectrum-guided layout optimisation, and employing topology-feature-weighted group regression that integrates topological stability indices with subgroup trend medians to precisely characterise heterogeneous group associations. It implements a closed-loop analytical paradigm of 'topological feature extraction → group difference modelling → feedback optimisation', overcoming the limitations of linear processes that separate network layout from regression validation. Experimental results demonstrate a convergence efficiency of 0.77%/iteration, outlier robustness of 0.89, and processing time of 87.2 ms. The model achieved a correlation estimation bias of 0.10, group difference identification accuracy of 0.94, and cross-discipline generalisation error of 0.10. In loosely structured course groups, performance declined notably. This model significantly enhances the analytical capability for curriculum interrelationships and improves the accuracy of cross-group correlation estimation in educational assessment, providing reliable technical support for dynamic monitoring of teaching quality and optimisation of interdisciplinary curriculum systems.
Keywords: Fruchterman-Reingold; Theil-Sen; course grades; evaluation grades; educational data mining; topological analysis; robust regression.
DOI: 10.1504/IJICT.2026.152533
International Journal of Information and Communication Technology, 2026 Vol.27 No.27, pp.84 - 108
Received: 14 Oct 2025
Accepted: 01 Dec 2025
Published online: 25 Mar 2026 *


