А HYBRID COMPETENCY CLUSTERING METHODOLOGY FOR CURRICULUM STRUCTURE FORMATION

Authors

  • G.I. Margarov National Polytechnic University of Armenia Author
  • S.A. Manukyan National Polytechnic University of Armenia Author
  • M.G. Usepyan National Polytechnic University of Armenia Author

DOI:

https://doi.org/10.53297/18293336-2026.1-22

Keywords:

competency-based education, hybrid clustering, hierarchical clustering, K-means algorithm, silhouette analysis, competency proximity matrix.

Abstract

Traditional curriculum development practice is characterized predominantly by em-pirical determination of disciplines and subjective workload distribution, which impedes the systematic integration of stakeholder requirements and the rational use of educational re-sources. The absence of formalized methodologies for transforming competencies into the-matically coherent groups for discipline formation impedes the systematic design of curric-ula aligned with labor market requirements.

This study develops a hybrid competency clustering methodology that systematical-ly transforms stakeholder expert assessments into structured educational clusters through quantitative methods. The methodology integrates weighted consensus analysis of employ-er, graduate, and faculty surveys with competency prioritization based on the Knowledge, Skills, and Abilities (KSA) model, and hybrid clustering combining Ward's hierarchical clustering, K-means optimization, and silhouette analysis for quality validation. A multi-component proximity matrix integrates the semantic similarity (TF-IDF), KSA profiles, and prerequisite relationships with cross-validation-determined weights.

Experimental validation on the Software Engineering undergraduate program (15 competencies, 290 respondents) demonstrates an optimal cluster count of k = 5 with a mean silhouette coefficient of 0.71±0.08 and high thematic coherence (0.680.82). Stability analysis confirms the robustness to parameter variations (Rand index >0.90) with a mini-mum sample size of n≥30 per group. The resulting clusters serve as the foundation for sub-sequent discipline formation and workload distribution.

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Published

14.09.2026

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Section

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