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Journal : measurement in educational research

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.
Co-Authors ., Susan A.A. Ketut Agung Cahyawan W Ab Ghani, Hawa Husna Abdul Basith Abdullah Umar, Abdullah Achmad Baidowi, Achmad Ade, Kornelius Adi Suyatno Adiguna, Muhammad Ekky Satria Adnan, Nor Syamimi Mohamed AF, Oca Fernandes Agoes Santoso Agus Subekti Agust, Krisit Akbar Al Masjid Aksaronas, Zidan Ashri Amalia Nurma Dewi Amsori M Das Anderson, Ganda Aprijal, Aprijal Ariwiguna, Wily Aryono Adhi, Aryono Asih, Eka Kurnia Assa'idah, Putri Arina ASTIKA, RIA Astuti, Nuryani Dwi Aulia, Qisthina Awalia, Sofi Nur Ayres, Mark Ayu Putri Aziz, Mohd Kasturi Nor Abd Bimansyah, Willyam Cahyo, Muhammad Fiqih Nur Cendana, Wiputra Chandra, Ronny Hernawan Chayati, Nurul Dardjito, Hanandyo Darmadi, Djarot Bangun Das, Amsori M. Daulay, Dicky Edwar Diah Indriani Dian Purnamasari Dian, Saskia Eka Didik Rinan Sumekto Diharjo, Diana Hafilda Digdho Djarot B. Darmadi, Djarot B. Dona Setya Dwiretnani, Annisaa Edi Kadarsa, Edi Elroy, Mikha Elvira handayani Endi Adriansyah Enggar Kartikasari, Enggar Epi Supriyani Siregar Evi Susilawati Farida Agus Setiawati Fatin Nadifa Tarigan Firdaus, Muhamad Yusuf Fitri Amalia Gary, Joshua Gunarto, Frendy Z. Hadmoko D S, Hadmoko D Hamzari Hamzari Hanna, Tabitha Harsono, Muhamad Sarbani Hartono, Arif Heny Setyawati Herawan, Budi Heri Retnawati Hidayatullah, Rizqy Hiden Hiden Hilmanto, Malvin Hurairah, Abi Husain Umar Ika Dyah Kumalasari Ika Purnama Sari Imas, Cindy Alfianuri Indriana, Rina Dwi Irham Nurwidyanto Istiyarni, Istiyarni Jamilah Jamilah K, Antonius Candra Khairas, Eri Ester Khofifah, Nor Khosiyono, Banun Havifah Cahyo Kinley Aritonang Kirbani S B, Kirbani S Kirbani Sri Brotopuspito Kristina, Sonna Kristy, Kristy Kusuma Chandra Kirana, Kusuma Chandra Kusumawardhani, Ratih Lukman Nasution Machmudah, Machmudah Maharani, Mita Nuriza Mahatwan, Dian Mami Hajaroh Marcelina, Gita Vegi Marla Setiawati Martadinata, Sanjaya Marzuki Marzuki Maulida, Minati Melawaty Agustien, Melawaty Moh. Safii Mualim, Rahmat Muhammad Ali Gunawan Muhammad Fajri Mulia, Citra Muljo, Ariyani Muryadin, Muryadin Muttaqie, Teguh Nadia, Mia Ayu Noer, Zakiah Noor, Fariz Novi Laura Indrayani, Novi Laura Nurul Priyantari Pakpahan, Eka Kurnia Asih Pardimin Pardimin Pardimin, Pardimin Pratama, Rizki R Prayoga, Arif Priono, Joko Rachman, Rani Auliawati Rahmatullah, Muhammad Imam Ramadhan, Aldo Reghan Ramadhani, Iqbal Ratna Sari, Dwi Rezvani, Rifki Riananda, Agif Rifqi Sufra Riyanto Sigit, Riyanto Rodhiyah, Syifa Robby Rokhana, Rika Rolls, Nicola Rosid, Muhammad Alfan Roslaini, Roslaini Rukmini Rukmini Rulhendri Rulhendri Saefudin, Yusuf Saputro, M. Elan Sari, Hindun Andan Sarim, Sandria Setiyobudi, Nanang Sherly Rosa Anggraeni Sihombing, Roy Freddy Silvia Devi Eka Putri Sinulingga, Timothy Oktavianus Sitepu, Teguh E. N. Sitepu, Teguh Ersada Natail Siti Maesaroh Soenantyo, Tarcisius Aris Sri Budyartati, Sri Sri Panca Setyawati Sufiyanto, Muhammad Imam Suhaila Husna Samosir Suhendra Suhendra Sumarwan, Edi Supriyadi Supriyadi Suryanto, Wiwit SUSANTO SUSANTO Sutarman Syamsul Hadi Syarief Fajaruddin Thoriq, Anugrah Tri Andi, Tri Tyas, Rizqa Ramadhaning Umi Fatonah Utami, Lastuti Utomo, Anggoro Prasetyo Valiant, Vincent Vina Sari Yosephine Wahyudi Wahyudi Wahyudi, Danial Wahyudin Wahyudin Wanto, Endra Wardani, Ken Ratri Wari Dony Wijaya Kusuma Rahadi, Cakra Wiradika, I Nyoman Indhi wiwit S, wiwit Yahya, Indra Nur Yamali, Fahrul Rozi Yohanes Setiawan Yuldashev, Azim Abdurakhmanovich YULI ASTUTI, YULI ASTUTI Yuli Prihatni Yulian Findawati Yunitasari, Cindy Fatma Zarochman, Zarochman