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TREE-BASED MIXED EFFECTS MODELING OF TEACHER CERTIFICATION OUTCOMES IN MADRASAH ALIYAH: A COMPARATIVE STUDY OF GLMM TREES AND GMET

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 20 No. 2 (2026) · pp. 1199–1214

DOI
10.30598/barekengvol20iss2pp1199-1214
ISSN
2615-3017, 1978-7227
Published
2026-01-26
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

The Teacher Professional Education program, or “Pendidikan Profesi Guru” (PPG), is a continuing education program designed for prospective or in-service teachers to obtain a teaching certificate. PPG is a priority program of the Ministry of Religious Affairs in providing competent and professional madrasah teachers. This study is expected to identify the challenges encountered in the implementation of the Madrasah teacher certification program and provide valuable input to enhance the success rate of Madrasah Aliyah teachers in the PPG program. The main objective of this study is to find the most appropriate tree-based mixed effects model to analyze the effectiveness of PPG for Madrasah Aliyah teachers in 2022. This study applies two tree-based mixed effects modeling methods: generalized linear mixed model trees (GLMM trees) and generalized mixed effects trees (GMET). Both methods model variability across subjects as a random effect. Based on the performance indices measurement results, the GMET model shows superiority over the GLMM trees model. The GMET model has an accuracy index of 0.7653, higher than the GLMM trees model of 0.7306. Substantively, teachers of English and Indonesian Language exhibit higher probabilities of passing than those of other subjects, whereas Arabic and Islamic Cultural History have the lowest estimated probabilities of success. Analysis of the variable importance from both models indicates that teachers’ age is the most influential predictor of PPG graduation among Madrasah Aliyah teachers. Based on these findings, to improve the effectiveness of PPG implementation for madrasah Aliyah teachers, policymakers at the Ministry of Religious Affairs are advised to implement a structured coaching and mentoring program for prospective PPG participants, with a special emphasis on support for senior teachers specializing in Arabic and Islamic Cultural History.

Collaboration network of the authors

40 authors · 109 co-authorship links · 6 across different organisations · showing the 40 most connected

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • IPB University
  • Bandung Islamic University
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Yenni AngrainiIPB University9
Laily Nissa Atul MualifahAffiliation unknown7
Anang KurniaAffiliation unknown5
Anwar FitriantoAffiliation unknown4
Erfiani ErfianiAffiliation unknown2
Agus Mohamad SolehIPB University2
Dwi Agustin Nuriani SirodjAffiliation unknown2
Vera Maya SantiAffiliation unknown2
Indahwati IndahwatiAffiliation unknown2
Hafizah IlmaAffiliation unknown2
Herlin FransiskaAffiliation unknown2
Kusman SadikAffiliation unknown2
Asrirawan AsrirawanAffiliation unknown2
Muh. SunanIPB University1
Unique Desyrre A. ResiloyIPB University1
Desy EndrianiIPB University1
Cici SuhaeniIPB University1
Gerry Alfa DitoIPB University1
Leni Anggraini SusantiIPB University1
Teguh PrasetyoIPB University1
Rizki Alifah PutriIPB University1
Dini RamadhaniIPB University1
Novi PuspitaAffiliation unknown1
Farit Mochamad AfendiAffiliation unknown1
kusnaeni kusnaeniAffiliation unknown1
Agus M SolehAffiliation unknown1
Farit M AfendiAffiliation unknown1
Budi SusetyoAffiliation unknown1
Andika Putri RatnasariAffiliation unknown1
Ni Gusti Ayu Putu Puteri SuantariAffiliation unknown1
Winalia AgwilAffiliation unknown1
Eni MeylisahAffiliation unknown1
Dyah Setyo RiniAffiliation unknown1
Rahmatin Nur AmaliaAffiliation unknown1
Vivin Nur AzizaAffiliation unknown1
Fatma Hilali Moh'dAffiliation unknown1
Firda Aulia MaghfirohAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc)
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	<dc:title xml:lang="en-US">TREE-BASED MIXED EFFECTS MODELING OF TEACHER CERTIFICATION OUTCOMES IN MADRASAH ALIYAH:  A COMPARATIVE STUDY OF GLMM TREES AND GMET</dc:title>
	<dc:creator>Syarip, Dodi Irawan</dc:creator>
	<dc:creator>Notodiputro, Khairil Anwar</dc:creator>
	<dc:creator>Sartono, Bagus</dc:creator>
	<dc:description xml:lang="en-US">The Teacher Professional Education program, or “Pendidikan Profesi Guru” (PPG), is a continuing education program designed for prospective or in-service teachers to obtain a teaching certificate. PPG is a priority program of the Ministry of Religious Affairs in providing competent and professional madrasah teachers. This study is expected to identify the challenges encountered in the implementation of the Madrasah teacher certification program and provide valuable input to enhance the success rate of Madrasah Aliyah teachers in the PPG program. The main objective of this study is to find the most appropriate tree-based mixed effects model to analyze the effectiveness of PPG for Madrasah Aliyah teachers in 2022. This study applies two tree-based mixed effects modeling methods: generalized linear mixed model trees (GLMM trees) and generalized mixed effects trees (GMET). Both methods model variability across subjects as a random effect. Based on the performance indices measurement results, the GMET model shows superiority over the GLMM trees model. The GMET model has an accuracy index of 0.7653, higher than the GLMM trees model of 0.7306. Substantively, teachers of English and Indonesian Language exhibit higher probabilities of passing than those of other subjects, whereas Arabic and Islamic Cultural History have the lowest estimated probabilities of success. Analysis of the variable importance from both models indicates that teachers’ age is the most influential predictor of PPG graduation among Madrasah Aliyah teachers. Based on these findings, to improve the effectiveness of PPG implementation for madrasah Aliyah teachers, policymakers at the Ministry of Religious Affairs are advised to implement a structured coaching and mentoring program for prospective PPG participants, with a special emphasis on support for senior teachers specializing in Arabic and Islamic Cultural History.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2026-01-26</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/18897</dc:identifier>
	<dc:identifier>10.30598/barekengvol20iss2pp1199-1214</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 20 No 2 (2026): BAREKENG: Journal of Mathematics and Its Application; 1199-1214</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol20iss2year2026</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/18897/12383</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2026 Dodi Irawan Syarip, Khairil Anwar Notodiputro, Bagus Sartono</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>