Comparison of Clustering Methods for Mixed Data: A Case Study on Hypothetical Student Scholarship Data


Ataseven H., Çokluk Bökeoğlu Ö., Taşdemir F.

Educational academic research (Online), sa.59, ss.2-14, 2025 (Hakemli Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Dergi Adı: Educational academic research (Online)
  • Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2-14
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

Clustering is a widely used technique for uncovering patterns and grouping individuals within datasets, particularly in fields like education where both academic and contextual

variables are essential. This study aims to introduce the basics and explore the performance

of six clustering methods in classifying students into scholarship eligibility groups using a

hypothetical student scholarship dataset generated in R software. The dataset consists of

two numerical variables (GPA and Scholarship Exam Result) and four categorical variables

(Financial Need, Number of Parents Employed, Employment Status, and Accommodation),reflecting typical criteria in educational funding decisions. Students were labeled as Primary,

Secondary, or Rejected Candidates, and the clustering methods—K-Means, K-Modes, K-

Prototypes, Partitioning Around Medoids (PAM), Latent Class Analysis (LCA), and Factor Analysis for Mixed Data (FAMD) followed by K-Means—were assessed based on how

accurately they reproduced these labels. Results indicate that hybrid approaches,

particularly K-Prototypes (95.6%) and PAM (92.5%), achieved the highest accuracy. FAMD +K-Means (93.9%) offered a robust alternative through dimensionality reduction while LCA

produced an 85.9% accuracy. The findings highlight the value of categorical variables in

clustering applications, and it also demonstrates the importance of selecting suitable clustering techniques for mixed-type educational data, especially in high-stakes contexts such as scholarship selection.