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IRT parameter estimation with Bayesian MCMC methods for small samples in Islamic schools Gunawan, Muhammad Ali; Adnan, Nor Syamimi Mohamed; Setiawan, Ari
Measurement In Educational Research Vol. 5 No. 1 (2025)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/meter.v5i1.378

Abstract

This study aims to estimate item parameters in Item Response Theory (IRT) using the Bayesian Markov Chain Monte Carlo (MCMC) method in the context of Islamic schools in Pekalongan Regency/City, where small sample sizes pose a challenge. Unlike conventional methods such as maximum likelihood estimation, which tend to yield biased results with limited data, Bayesian MCMC incorporates prior knowledge and contextual information to improve estimation accuracy. Simulated datasets with varying sample sizes (30, 100, 300, 1000) and item numbers (10, 25, 30, 40) were used to compare the performance of Bayesian MCMC with traditional IRT methods. The results show that Bayesian MCMC produces more stable and accurate estimates, particularly in small-sample conditions. These findings suggest that Bayesian approaches are effective for psychometric analysis in Islamic education settings. The study concludes that Bayesian MCMC is a valuable method for improving the robustness of item parameter estimation in limited-data contexts.
Leading The Future Through Student Leadership: A Bibliometric Mapping Adnan, Nor Syamimi Mohamed; Aziz, Mohd Kasturi Nor Abd; Halim, Jasin Abd; Ridzuan, Ahmad Hifzurrahman; Israr, Mohammad
Interdisciplinary Journal of Social Sciences Vol. 3 No. 1 (2026): March
Publisher : Perkumpulan Dosen Tarbiyah Islam Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59373/ijoss.v3i1.297

Abstract

Student leadership has emerged as a strategic field for developing future-ready graduates; however, its global research landscape remains insufficiently mapped. This study aims to systematically analyze the intellectual structure and geographical distribution of student leadership research from 2000 to 2026. Using a bibliometric approach, data were collected from the Scopus database with keywords such as student leadership, youth leadership, peer leadership, and student leader, resulting in 1,536 publications. Data were refined using OpenRefine, while Scopus analytical tools were employed to generate statistical trends. The findings indicate a significant and consistent growth in publication output, peaking in recent years. The United States dominates the field, followed by Canada and Australia, reflecting the strong influence of Western scholarship. However, emerging contributions from Asia, particularly China and Malaysia, signal a shift toward a more multipolar research landscape. The intellectual development of the field shows a transition from hierarchical leadership models to more relational and socially oriented perspectives. This study provides a comprehensive bibliometric overview that highlights key trends, influential works, and research gaps. The findings offer valuable insights for scholars, educators, and policymakers to promote more inclusive and globally relevant student leadership development