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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Jurnal Ilmu Sosial dan Humaniora Jurnal Ketahanan Nasional Jurnal Ilmiah Pangabdhi Jurnal Sains Matematika dan Statistika BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Zeta - Math Journal J Statistika: Jurnal Ilmiah Teori dan Aplikasi Statistika Jurnal Varian Jurnal ABDINUS : Jurnal Pengabdian Nusantara Inferensi Elastisitas Jurnal Ekonomi Pembangunan Journal of Mathematics Education and Science Eksponensial Jurnal Pendidikan Matematika Limits: Journal of Mathematics and Its Applications International Journal of Computing Science and Applied Mathematics-IJCSAM
Dita Amelia
Fakultas Sains Dan Teknologi, Universitas Airlangga
Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Industrial & Manufacturing Engineering Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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Pemodelan Faktor yang Mempengaruhi Indeks Demokrasi Indonesia Menggunakan Spline Truncated Hanny Valida; M. Fariz Fadillah Mardianto; Dita Amelia; Suliyanto Suliyanto
Jurnal Pendidikan Matematika Vol. 3 No. 2 (2026): February
Publisher : Indonesian Journal Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47134/ppm.v3i2.2478

Abstract

Penelitian ini bertujuan menganalisis faktor-faktor yang memengaruhi Indeks Demokrasi Indonesia (IDI) menggunakan pendekatan regresi spline linier terpotong nonparametrik. Data yang digunakan merupakan data sekunder cross-section dari 34 provinsi di Indonesia pada tahun 2024, dengan variabel prediktor berupa Indeks Pemberdayaan Gender, Indeks Kebebasan Pers, dan Indeks Pembangunan Manusia. Pemilihan model dilakukan menggunakan kriteria Generalized Cross Validation (GCV) untuk menentukan jumlah dan posisi knot yang optimal. Hasil analisis menunjukkan bahwa model terbaik diperoleh dengan tiga titik knot, menghasilkan nilai GCV sebesar 6,79 dan koefisien determinasi (R²) sebesar 89,37 persen. Hasil penelitian menunjukkan adanya hubungan nonlinier antara variabel prediktor dan IDI. Indeks Pemberdayaan Gender memberikan pengaruh positif pada tingkat rendah hingga menengah, namun berubah menjadi negatif pada tingkat yang lebih tinggi. Indeks Kebebasan Pers menunjukkan pengaruh positif pada tingkat rendah tetapi cenderung negatif setelah melewati titik tertentu. Sementara itu, Indeks Pembangunan Manusia memberikan pengaruh positif yang konsisten terhadap IDI. Temuan ini menunjukkan bahwa kualitas demokrasi di Indonesia dipengaruhi oleh dinamika sosial dan institusional yang kompleks.
Penalized Multivariate Adaptive Regression Splines with Generalized Cross Validation for Modeling Health Insurance Ownership in East Java Deby Victoria; Addina Nurkamila; Yanuar Ibnu Ridho; Rafly Tawekal; Dita Amelia
Inferensi Vol 9 No 1 (2026)
Publisher : Department of Statistics ITS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j27213862.v9i1.8747

Abstract

The average programmatic health insurance coverage is a key indicator of public welfare and the effectiveness of healthcare policies. This study proposes the use of Penalized Multivariate Adaptive Regression Splines (PMARS) with Generalized Cross Validation (GCV) to model the determinants of this average coverage rate across 38 regencies and cities in East Java Province, using secondary data from the 2025 BPS East Java publication. Several PMARS specifications are evaluated by varying polynomial degrees, numbers of basis functions, and penalty values to identify the optimal model structure. The PMARS approach effectively captures nonlinear relationships, interaction effects, and variable importance within a flexible regression framework. The optimal model is a quadratic specification consisting of 16 basis functions, a maximum interaction of two, and an optimal penalty parameter, explaining 94.46% of the variability in the average health insurance coverage with a minimum GCV value of 5.49654. Access to improved sanitation, clean water, and health complaints are identified as the most influential determinants, all exhibiting positive associations that drive the need for formal financial protection. These results demonstrate the effectiveness of the GCV-PMARS methodology for modeling complex socio-health data and provide empirical insights to support policies aimed at strengthening universal health coverage, ensuring equitable programmatic utilization, and advancing Sustainable Development Goal 3 on Good Health and Well-Being.
Co-Authors Abdillah, Adrian Wahyu Addina Nurkamila Adelia Frielady Yosifa Adelia Frielady Yosifa Adelia Sukma Dwiyanto Aditya Syarifudin Akbar Adma Novita Sari Aflaha, Nabila Shafa Agnes Happy Julianto Agnes Happy Julianto Ain, Dzuria Hilma Qurotu Aini Divayanti Arrofah Alisiah, Rindiani Ahmada Alya Rahma Inneztiana Ameliatul 'Iffah Ana, Elly Andi Vania Ghalliyah Putrie Anida, Nuzulia Anida, Nuzulia Anisa Laila Azhar Annisa Putri Nayumi Antonio Nikolas Manuel Bonar Simamora Aprilia Prastyaningrum Ardi Kurniawan Ardi Kurniawan Ariyawan, Jovansha Arrofah, Aini Divayanti Aulia Ramadhanti Aulia, Niswa Faizah Azizah Atsariyyah Zhafira Azzah Nazhifa Wina Ramadhani Azzah Nazhifa Wina Ramadhani Bintang Alyaa Sabila Bryan Given Christiano Ginzel Budijono, Gabriella Agnes Cynthia Anggelyn Siburian Davina Shafa Vanisa Deby Victoria Deshinta Arrova Dewi Doni Muhammad Fauzi Dwitya, Shabrina Nareswari Dwiyanto, Adelia Sukma Dwiyanto, Adelia Sukma Elly Pusporani Faradilla Harianto Farah Fauziah Putri Fery Yulian Putra Firda Aulia Pratiwi Fortunata, Regina Ghasani, Anisah Nabilah Grace Lucyana Koesnadi Hanny Valida Humaira, Edla Putri Ismi, Ferissa Maulida Isna Nurul Izza Amalia Karina Rubita Makhbubah Karina Tri Handayani Kurniawan, Ardi Kusuma, Shalwa Oktavia M. Fariz Fadillah Mardianto M. Nabil Saputra Made Riyo Ary Permana Mahadesyawardani, Arinda Marbun, Barnabas Anthony Philbert Maria Setya Dewanti Marthabakti, CitraWani Maulidya, Utsna Rosalin Mochammad Baihaqi Muhammad Fikry Al Farizi Muhammad Hafidzuddin Nahar Muhammad Rizaldy Baihaqi Muhammad Rosyid Ridho Az Zuhro Muhammad Rosyid Ridho Az Zuhro Muhammad Walid Jumlat Mutyaravica, Astrid Na'imatul Lu'lu'a Nabila Rahma Na’ifa, Ariza Nadia Dwi Marwanda Nahar, Muhammad Hafidzuddin Nur Chamidah Nurdin, Nabila Nurrohmah, Zidni ‘Ilmatun Nuzulia Anid Pambudi, Daffa Satrio Permana, Made Riyo Ary Pratama, Fachriza Yosa Pressylia Aluisina Putri Widyangga Previan, Anggara Teguh Putri Masyita Qomaryah Putri Nur Farida Putri, Ferdiana Friska Rahmana Putri, Refa Berliana Putu Eka Andriani Rafly Tawekal Rahmada, Indrastanto Oktodian Rahmanita, Tentri Ryan Ramadhan, Achmad Wahyu Ramadhani, Azzah Nazhifa Wina Ramadhani, Maulana Syah Putra Rani, Lina Nugraha Rohayah, Dewi Sanda Insania Dewanty Sediono, Sediono Siagian, Kimberly Maserati Siregar, Naufal Ramadhan Al Akhwal Sofia Andika Nur Fajrina Suliyanto Suliyanto Suliyanto Suryono, Alda Fuadiyah Syavrilia Alfiatur Rakhma Tagawa, Dustin Nathanael Toha Saifudin Tsabita Amalia Shofa, Nayla Victoria Anggia Alexandra Victoria Anggia Alexandra Wibawa, Yoga Setya Wieldyanisa, Ezha Easyfa Wulandari, Indana Zulfa Yanuar Ibnu Ridho Yoga Setya Wibawa Yosifa, Adelia Frielady Yuliati, Intan Zah, Alfian Iqbal Zahrani, Vista Vanadya Zhafirab, Azizah Atsariyyah