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MODELING DEMOCRACY INDEX IN INDONESIA WITH MULTIVARIATE ADAPTIVE REGRESSION SPLINE APPROACH

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 19 No. 4 (2025) · hlm. 2347–2358

DOI
10.30598/barekengvol19iss4pp2347-2358
ISSN
2615-3017, 1978-7227
Terbit
2025-09-01
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

Democracy is a system of government where citizens participate in political decision-making through freely elected representatives. To measure the quality of democracy in Indonesia, the Indonesian Democracy Index (IDI) is used as a composite indicator reflecting various aspects of political freedoms, civil liberties, and governance. The IDI score declined from 6.71 in 2022 to 6.53 in 2023, the lowest in 14 years, indicating disruption in Indonesia’s democracy. Therefore, it is necessary to identify the root causes of the disruption in Indonesia’s democracy through several indicators. This study analyzes the relationship between predictor variables, including socio-economic and development indicators, and IDI using the Multivariate Adaptive Regression Spline (MARS) approach. This study uses the MARS method by considering six predictor variables, namely the Human Development Index (HDI), Gender Empowerment Index (GEI), Information and Communication Technology Development Index (ICT-DI), Press Freedom Index (PFI), Poverty Depth Index (PDI), and High School Completion Rate (HSCR). The data used is secondary data from 34 Indonesian provinces in 2023 obtained from the Statistics Indonesia-BPS. The results showed that the best model was obtained with a combination of BF = 12, MI = 3, and MO = 1 resulting in a GCV value of 11.27 and R2 of 80%. MARS model interpretation identifies the significant influence of social and economic indicators on IDI and is able to explain 80% of data variability. The significance test shows that all predictor variables significantly affect the IDI, with the highest level of importance on the ICT-DI variable. Therefore, improving ICT-DI in each province needs to be a major concern as a strategic step to improve the democracy index in Indonesia and support the achievement of Sustainable Development Goal 16 on peace, justice, and strong institutions.

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  • Universitas Airlangga
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Tampilkan sebagai tabel
Rekan penulisOrganisasiArtikel bersama
Nur ChamidahUniversitas Airlangga7
Dita AmeliaUniversitas Airlangga7
Sediono SedionoUniversitas Airlangga3
Rien RecyliaUniversitas Airlangga2
Najwa Khoir AldawiyahUniversitas Airlangga2
Nina AuliyahUniversitas Airlangga2
Fatiha Nadia SalsabilaUniversitas Airlangga2
Mubadi'ul FitrianiUniversitas Airlangga2
Azizatul KholidiyahUniversitas Airlangga2
Fildzah Tri Januar ArianiUniversitas Airlangga2
Muhammad Fariz Fadillah MardiantoUniversitas Airlangga2
Sabrina Salsa OktaviaUniversitas Airlangga2
Nabila NurdinUniversitas Airlangga2
Bryan Given Christiano GinzelUniversitas Airlangga2
Jovansha AriyawanUniversitas Airlangga2
Mohammad Noufal UbadahUniversitas Airlangga2
Doni Muhammad FauziUniversitas Airlangga2
Billy Christandy SuyonoUniversitas Airlangga2
Gabriella Agnes BudijonoUniversitas Airlangga2
Azizah Atsariyyah ZhafiraUniversitas Airlangga2
Belindha Ayu ArdhaniUniversitas Airlangga1
Atikah FaizaUniversitas Airlangga1
Zidni Ilmatun NurrohmahUniversitas Airlangga1
Laili PuspasariUniversitas Airlangga1
Ardi KurniawanUniversitas Airlangga1
Mochammad Bayu FirmansyahUniversitas Airlangga1
Marisa RifadaUniversitas Airlangga1
Karina Rubita MakhbubahUniversitas Airlangga1
Devira Thania RamadhantyUniversitas Airlangga1
Any Tsalasatul FitriyahUniversitas Airlangga1
Maria Setya DewantiUniversitas Airlangga1
Aurelia Islami AzisUniversitas Airlangga1
Elly PusporaniUniversitas Airlangga1
Farah Fauziah PutriUniversitas Airlangga1

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Sumber metadata: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc)
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	<dc:title xml:lang="en-US">MODELING DEMOCRACY INDEX IN INDONESIA WITH MULTIVARIATE ADAPTIVE REGRESSION SPLINE APPROACH</dc:title>
	<dc:creator>Saifudin, Toha</dc:creator>
	<dc:creator>Suliyanto, Suliyanto</dc:creator>
	<dc:creator>Nugraha, Galuh Cahya</dc:creator>
	<dc:creator>Valida, Hanny</dc:creator>
	<dc:creator>Nahar, Muhammad Hafidzuddin</dc:creator>
	<dc:creator>Fortunata, Regina</dc:creator>
	<dc:description xml:lang="en-US">Democracy is a system of government where citizens participate in political decision-making through freely elected representatives. To measure the quality of democracy in Indonesia, the Indonesian Democracy Index (IDI) is used as a composite indicator reflecting various aspects of political freedoms, civil liberties, and governance. The IDI score declined from 6.71 in 2022 to 6.53 in 2023, the lowest in 14 years, indicating disruption in Indonesia’s democracy. Therefore, it is necessary to identify the root causes of the disruption in Indonesia’s democracy through several indicators. This study analyzes the relationship between predictor variables, including socio-economic and development indicators, and IDI using the Multivariate Adaptive Regression Spline (MARS) approach. This study uses the MARS method by considering six predictor variables, namely the Human Development Index (HDI), Gender Empowerment Index (GEI), Information and Communication Technology Development Index (ICT-DI), Press Freedom Index (PFI), Poverty Depth Index (PDI), and High School Completion Rate (HSCR). The data used is secondary data from 34 Indonesian provinces in 2023 obtained from the Statistics Indonesia-BPS. The results showed that the best model was obtained with a combination of BF = 12, MI = 3, and MO = 1 resulting in a GCV value of 11.27 and R2 of 80%. MARS model interpretation identifies the significant influence of social and economic indicators on IDI and is able to explain 80% of data variability. The significance test shows that all predictor variables significantly affect the IDI, with the highest level of importance on the ICT-DI variable. Therefore, improving ICT-DI in each province needs to be a major concern as a strategic step to improve the democracy index in Indonesia and support the achievement of Sustainable Development Goal 16 on peace, justice, and strong institutions.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2025-09-01</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/16630</dc:identifier>
	<dc:identifier>10.30598/barekengvol19iss4pp2347-2358</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 19 No 4 (2025): BAREKENG: Journal of Mathematics and Its Application; 2347-2358</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol19iss4year2025</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/16630/10987</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2025 Toha Saifudin, Suliyanto Suliyanto, Galuh Cahya Nugraha, Hanny Valida, Muhammad Hafidzuddin Nahar, Regina Fortunata</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
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