ESTIMASI PARAMETER MODEL REGRESI NONPARAMETRIK B-SPLIN E PADA ANGKA KEMATIAN MATERNAL
DOI:
https://doi.org/10.25077/jmu.10.3.342-354.2021Abstract
Angka kematian maternal menjadi salah satu indikator yang dapat menggambarkan kesejahteraan masyarakat di suatu negara. Pada tahun 2019, di Provinsi Jawa Barat tercatat jumlah kematian ibu sebanyak 684 kasus atau 74,19 per 100.000 kelahiran hidup. Salah satu upaya untuk menurunkan angka kematian maternal di Provinsi Jawa Barat dapat dilakukan dengan memodelkan angka kematian maternal terhadap faktor yang mempengaruhinya sehingga nilai kematian maternal dapat diestimasi. Pada penelitian ini, angka kematian maternal di Provinsi Jawa Barat diestimasi dengan parameter model regresi nonparametrik B-Spline menggunakan pendekatan metode Ordinary Least Square (OLS). Pemilihan regresi nonparametrik B-Spline dikarenakan hasil plotting setiap variabel respon terhadap variabel prediktor tidak menunjukkan pola tertentu, selain itu model regresi B-Spline memiliki fleksibilitas yang tinggi. Model B-Spline terbaik bergantung pada penentuan titik knot optimal yaitu dengan nilai Generalized Cross Validation (GCV) minimum. Setelah dilakukan analisis angka kematian maternal berdasarkan regresi nonparametrik B-Spline diperoleh suatu model terbaik pada saat orde dua dan banyaknya titik knot untuk X1 adalah dua, X2 adalah satu, X3 adalah tiga, dan X4 adalah tiga dengan nilai GCV sebesar 352,3002, sementara nilai koefisien determinasi yang diperoleh sebesar 0, 8443. Kata Kunci: Angka Kematian Maternal, B-Spline, Ordinary Least SquareReferences
Budiantara, I.N., Suryadi, F., Otok, B.W., dan Guritno, S., 2006, Permodelan B-Spline dan MARS pada Nilai Ujian Masuk Terhadap IPK Mahasiswa Jurusan Disain Komunikasi Visual UK. PETRA Surabaya, Jurnal Teknik Industri, Volume 8, Issue 1.
De Boor, C.H., 2001., A Practical Guide to Splines, Applied Mathematical Sciences, Springer Verlag, New York.
Dinas Kesehatan Provinsi Jawa Barat., 2020, Profil Kesehatan Provinsi Jawa Barat Tahun 2019, Website Dinkes Jabar Online
https://www.diskes.jabarprov.go.id/index.php/arsip/categories/MTE4/profilekesehatan diakses pada 3 November, 2020.
Eubank, R. L., 1998, Penentuan Generalized Cross Validation (GCV) Sebagai Kriteria dalam Pemilihan Model Regresi B-Spline Terbaik, Jurnal Statistika, Volume 2, Issue 2.
Eubank, R.L., 1999., Nonparametric Regression and Spline Smoothing, 2nd edition, Marcel Dekker, New York.
Huang, J. Z. and Shen, H., 2004, Functional Coefficient Regression Models for Non Linear Time Series: A Polynomial Spline Approach, Scandinavian Journal of Statistics, Volume 31, Issue 4.
Kemkes. 2019. Rekomendasi Angka Kematian Ibu di Indonesia Direktorat P2PTM, Jakarta: Kemkes.go.id Online, https://p2ptm.kemkes.go.id/artikelilmiah/rekomendasi-angka-kematian-ibu-di-indonesia diakses pada 22 Januari, 2021
Nawari., 2010., Analisis Regresi dengan MS Excel 2007 dan SPSS 17, PT Elex Media Komputindo, Jakarta.
Nieburg, P., 2012., Improving Maternal Mortality and Other Aspects of Womens Health, Center for Strategic and Inter-national Studies, Washington DC.
Rupert, D., Wand, M. P., and Carroll, R. J., 2003, Cambridge Series in Statistical and Probabilistic Mathematics: Semi parametric Regression, Cambridge University, New York.
Sembiring, R. K., 1995., Analisis Regresi Edisi Kedua, Penerbit ITB, Bandung.
Sugiyono., 2014., Metode Penelitian Bisnis (Edisi Kedelapan belas), Alfabeta, Bandung.
WHO, 2017, Maternal Mortality ratio (per 100 000 live births), Jenewa: Who.int Online, https://www.who.int/data/gho/indicator-metadataregistry/imr-details/26 diakses pada 22 Januari, 2021.
WHO., 2019, Maternal mortality, Jenewa: Who.int Online,
https://www.who.int/newsroom/fact-sheets/detail/maternal-mortality diakses pada 22 Januari, 2021.
Downloads
Published
Issue
Section
License
All articles published in Jurnal Matematika UNAND (JMUA) are open access and licensed under the Creative Commons Attribution-ShareAlike (CC BY-SA) license. This ensures that the content is freely available to all users and can be shared and adapted, provided appropriate credit is given and any adaptations are distributed under the same license.
Copyright Holder
The copyright of all articles published in Jurnal Matematika UNAND is held by the Departemen Matematika dan Sains Data, Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA), Universitas Andalas (UNAND). This applies to all published versions, including the HTML and PDF formats of the articles.
Author Rights
While the Departemen Matematika dan Sains Data FMIPA UNAND holds the copyright for all published content, authors retain important rights under the Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA). This license grants authors and users the following rights:
- Reuse: Authors can reuse and distribute their work for any lawful purpose, including sharing on personal websites, institutional repositories, or in subsequent publications.
- Attribution and Adaptation: Authors and others may remix, adapt, and build upon the published work for any purpose, even commercially, as long as proper credit is given to the original authors, and any derivative works are distributed under the same CC BY-SA license.
Creative Commons License (CC BY-SA)
Under the terms of the CC BY-SA license, users are free to:
- Share: Copy and redistribute the material in any medium or format.
- Adapt: Remix, transform, and build upon the material for any purpose, even commercially.
However, the following conditions apply:
- Attribution: Users must give appropriate credit to the original author(s) and Departemen Matematika dan Sains Data FMIPA UNAND, provide a link to the license, and indicate if changes were made. Attribution must not imply endorsement by the author or the journal.
- ShareAlike: If users remix, transform, or build upon the material, they must distribute their contributions under the same license as the original.
For more information about the CC BY-SA license, please visit the Creative Commons website.
Third-Party Content
If authors include third-party material (such as figures, tables, or images) that is not covered by a Creative Commons license, they must obtain the necessary permissions for reuse and provide proper attribution. Authors are required to ensure that any third-party content complies with open-access licensing requirements or includes permissions for redistribution under similar terms.
Copyright and Licensing Information Display
The copyright and licensing terms will be clearly displayed on each article's landing page, as well as within the full-text versions (HTML and PDF) of all published articles.
No "All Rights Reserved"
As an open-access journal, JMUA does not use "All Rights Reserved" policies. Instead, the CC BY-SA license ensures that the works remain accessible and reusable for a wide audience while still protecting both the authors' and the copyright holder's rights.
Â
