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Pemodelan Faktor-Faktor Yang Mempengaruhi Morbiditas Di Jawa Tengah Menggunakan Regresi Nonparametrik Spline Truncated Irma Wahyu Rosanti; I Nyoman Budiantara
Inferensi Vol 3, No 2 (2020): Inferensi
Publisher : Department of Statistics ITS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j27213862.v3i2.7712

Abstract

Morbiditas merupakan angka yang menggambarkan banyaknya penyakit atau keluhan kesehatan dalam suatu populasi pada kurun waktu tertentu. Morbiditas menjadi salah satu indikator yang digunakan untuk mengukur tingkat kesehatan masyarakat. Semakin tinggi morbiditas maka semakin banyak penduduk yang mengalami keluhan kesehatan dan derajat kesehatan masyarakat semakin buruk. Pada tahun 2018 morbiditas di Jawa Tengah mencapai 15,15%. Angka morbiditas tersebut tertinggi di Pulau Jawa dan di atas rata-rata morbiditas nasional yang hanya mencapai 13,91%. Penelitian in idilakukan untuk mengetahui faktor-faktor yang diduga mempengaruhi morbiditas di Jawa Tengah menggunakan Regresi Nonparametrik Spline Truncated. Metode ini digunakan karena pola hubungan antara morbiditas dan faktor-faktor yang diduga berpengaruh tidak mengikuti pola data tertentu. Hasil penelitian menunjukkan bahwa model regresi nonparametrik spline terbaik adalah menggunakan kombinasi knot 2,3,2,3,3,3 dan seluruh variabel yang digunakan dalam penelitian berpengaruh signifikan terhadap morbiditas di Jawa Tengah. Variabel yang digunakan yaitu kepadatan penduduk, persentase penduduk miskin, rata-rata lama sekolah, Upah Minimum Kabupaten/Kota, persentase rumah tangga ber-PHBS, dan persentase penduduk dengan akses sanitasi layak. Koefisien determinasi dari model sebesar 98,45%.
APLIKASI SPLINE ESTIMATOR TERBOBOT I Nyoman Budiantara
Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri Vol. 3 No. 2 (2001): DESEMBER 2001
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (28.297 KB) | DOI: 10.9744/jti.3.2.57-62

Abstract

We considered the nonparametric regression model : Zj = X(tj) + ej, j = 1,2,…,n, where X(tj) is the regression curve. The random error ej are independently distributed normal with a zero mean and a variance s2/bj, bj > 0. The estimation of X obtained by minimizing a Weighted Least Square. The solution of this optimation is a Weighted Spline Polynomial. Further, we give an application of weigted spline estimator in nonparametric regression. Abstract in Bahasa Indonesia : Diberikan model regresi nonparametrik : Zj = X(tj) + ej, j = 1,2,…,n, dengan X (tj) kurva regresi dan ej sesatan random yang diasumsikan berdistribusi normal dengan mean nol dan variansi s2/bj, bj > 0. Estimasi kurva regresi X yang meminimumkan suatu Penalized Least Square Terbobot, merupakan estimator Polinomial Spline Natural Terbobot. Selanjutnya diberikan suatu aplikasi estimator spline terbobot dalam regresi nonparametrik. Kata kunci: Spline terbobot, Regresi nonparametrik, Penalized Least Square.
PEMODELAN B-SPLINE DAN MARS PADA NILAI UJIAN MASUK TERHADAP IPK MAHASISWA JURUSAN DISAIN KOMUNIKASI VISUAL UK. PETRA SURABAYA I Nyoman Budiantara; Fredi Suryadi; Bambang Widjanarko Otok; Suryo Guritno
Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri Vol. 8 No. 1 (2006): JUNE 2006
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (128.513 KB) | DOI: 10.9744/jti.8.1.1-13

Abstract

Regression analysis is constructed for capturing the influences of independent variables to dependent ones. It can be done by looking at the relationship between those variables. This task of approximating the mean function can be done essentially in two ways. The quiet often use parametric approach is to assume that the mean curve has some prespecified functional forms. Alternatively, nonparametric approach, .i.e., without reference to a specific form, is used when there is no information of the regression function form (Haerdle, 1990). Therefore nonparametric approach has more flexibilities than the parametric one. The aim of this research is to find the best fit model that captures relationship between admission test score to the GPA. This particular data was taken from the Department of Design Communication and Visual, Petra Christian University, Surabaya for year 1999. Those two approaches were used here. In the parametric approach, we use simple linear, quadric cubic regression, and in the nonparametric ones, we use B-Spline and Multivariate Adaptive Regression Splines (MARS). Overall, the best model was chosen based on the maximum determinant coefficient. However, for MARS, the best model was chosen based on the GCV, minimum MSE, maximum determinant coefficient. Abstract in Bahasa Indonesia : Analisa regresi digunakan untuk melihat pengaruh variabel independen terhadap variabel dependent dengan terlebih dulu melihat pola hubungan variabel tersebut. Hal ini dapat dilakukan dengan melalui dua pendekatan. Pendekatan yang paling umum dan seringkali digunakan adalah pendekatan parametrik. Pendekatan parametrik mengasumsikan bentuk model sudah ditentukan. Apabila tidak ada informasi apapun tentang bentuk dari fungsi regresi, maka pendekatan yang digunakan adalah pendekatan nonparametrik. (Haerdle, 1990). Karena pendekatan tidak tergantung pada asumsi bentuk kurva tertentu, sehingga memberikan fleksibelitas yang lebih besar. Tujuan penelitian ini adalah mendapatkan model terbaik mengenai nilai ujian masuk terhadap nilai IPK (Indek Prestasi Kumulatif) mahasiswa jurusan Disain Komunikasi Visual tahun 1999 di Universitas Kristen Petra Surabaya dengan analisis regresi, baik parametrik maupun nonparametrik. Pendekatan regresi parametrik menggunakan regresi linear sederhana, kuadratik dan kubik, sedangkan regresi nonparametrik digunakan B-Spline dan Multivariate Adaptive Regression Splines (MARS). Secara keseluruhan, model terbaik dipilih berdasarkan koefisien determinasi terbesar. Namun demikian untuk MARS, model terbaik dipilih berdasarkan pada GCV, minimum MSA dan koefisien determinasi terbesar. Kata kunci: regresi nonparametrik, B-Spline, MARS, koefisien determinasi.
Spline Nonparametric Regression Analysis of Stress-Strain Curve of Confined Concrete Tavio Tavio; I Nyoman Budiantara; Benny Kusuma
Civil Engineering Dimension Vol. 10 No. 1 (2008): MARCH 2008
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (662.826 KB) | DOI: 10.9744/ced.10.1.pp. 14-27

Abstract

Due to enormous uncertainties in confinement models associated with the maximum compressive strength and ductility of concrete confined by rectilinear ties, the implementation of spline nonparametric regression analysis is proposed herein as an alternative approach. The statistical evaluation is carried out based on 128 large-scale column specimens of either normal-or high-strength concrete tested under uniaxial compression. The main advantage of this kind of analysis is that it can be applied when the trend of relation between predictor and response variables are not obvious. The error in the analysis can, therefore, be minimized so that it does not depend on the assumption of a particular shape of the curve. This provides higher flexibility in the application. The results of the statistical analysis indicates that the stress-strain curves of confined concrete obtained from the spline nonparametric regression analysis proves to be in good agreement with the experimental curves available in literatures
MATRIKS KOVARIANSI DALAM REGRESI NONPARAMETRIK MULTIRESPON PADA KASUS KORELASI SAMA DAN KORELASI TIDAK SAMA Budi Lestari; I Nyoman Budiantara; Sony Sunaryo; Muhammad Mashuri
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2950

Abstract

In the real cases, we are frequently faced the problem in which two or more dependent variables are observed at several values of the independent variables, such as at multiple time points. Multi-response nonparametric regression model, especially smoothing spline model, provides powerful tools to model the function which represents association of among the variables. The problem is how to estimate nonparametric regression curve of the multi-response nonparametric regression model. The nonparametric regression curve can be estimated using spline estimator approach, that is by carrying out penalized weighted least-squares optimation. Therefore, we need a covariance matrix which will be used as a weight of the optimation. In this paper, we determine the construction of covariance matrix for both equal and unequal of correlations cases. The results show that the covariance matrices have quite similar construction of diagonal elements but the elements outside the diagonal have very different construction that depend on the construction of the Jordan matrix.
ESTIMASI SELANG KEPERCAYAAN NILAI UJIAN NASIONAL BERBASIS KOMPETENSI BERDASARKAN MODEL REGRESI SEMIPARAMETRIK MULTIRESPON TRUNCATED SPLINE Lilik Hidayati; Nur Chamidah; I Nyoman Budiantara
MEDIA STATISTIKA Vol 13, No 1 (2020): Media Statistika
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1063.995 KB) | DOI: 10.14710/medstat.13.1.92-103

Abstract

Confidence interval estimation is important in statistical inference for the parameters of the regression model, but the theory of confidence interval estimation for multi-response semiparametric regression model parameters based on the truncated spline estimator has not been examined. In this study, we estimate the confidence interval of the multi-response semiparametric regression model based on the truncated spline estimator by using pivotal quantity method with the central limit theorem approach. This confidence interval theory is applied to data of competency-based national exam (UNBK) scores in West Nusa Tenggara Province where its UNBK  in the lowest position among other provinces in Indonesia. The method used for estimating parameters is weighted least square. The best model is determined based on the Generalized Cross Validation (GCV) minimum value. Based on the estimated 95% confidence interval of parameters of the multi-response truncated spline semiparametric regression model, the results showed that the insignificant factors affecting the UNBK scores were gender and parental education duration while the report card of scores and USBK scores had a positive effect on the UNBK scores but only the UNBK scores of mathematics that report card of scores factor has a negative effect on it.
ESTIMATION OF SEMIPARAMETRIC REGRESSION CURVE WITH MIXED ESTIMATOR OF MULTIVARIABLE LINEAR TRUNCATED SPLINE AND MULTIVARIABLE KERNEL Hesikumalasari Hesikumalasari; I Nyoman Budiantara; Vita Ratnasari; Khaerun Nisa'
MEDIA STATISTIKA Vol 15, No 1 (2022): Media Statistika
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/medstat.15.1.12-23

Abstract

The response variable of the regression analysis has a linear relationship with one of the variable predictors, however the unknown relationship pattern with the other predictor variables. Consequently, it can be approached by using semiparametric regression model. The predictor variable that has a linear relationship with the response variable can be approached by using linear parametric curve called parametric component. Meanwhile, the unknown relationship between the response variable with another predictor variable can be approached by using nonparametric curve called nonparametric component. If the predictor variable in nonparametric component is more than one, then it can be approached by using a different nonparametric curve named combined or mixed estimator. In this research, nonparametric component is approached using mixed estimator of multivariable linear truncated spline and multivariable kernel. The objective of this research is to estimate the model of semiparametric regression curve with mixed estimator of multivariable truncated spline and multivariable kernel. Estimation of this mixed model using ordinary least square method.
Development of Technology Parameter Towards Shipbuilding Productivity Predictor Using Cubic Spline Approach Suwasono, Bagiyo; Widjaja, Sjarief; Zubaydi, Achmad; Yuliadi, Zaed; Budiantara, I Nyoman
Makara Journal of Technology Vol. 14, No. 2
Publisher : UI Scholars Hub

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Development of Technology Parameter Towards Shipbuilding Productivity Predictor Using Cubic Spline Approach. Ability of production processes associated with state-of-the-art technology, which allows the shipbuilding, is customized with modern equipment. It will give impact to level of productivity and competitiveness. This study proposes a nonparametric regression cubic spline approach with 1 knot, 2 knots, and 3 knots. The application programs Tibco Spotfire S+ showed that a cubic spline with 2 knots (4.25 and 4.50) gave the best result with the value of GCV = 56.21556, and R2 = 94.03%.Estimation result of cubic spline with 2 knots for the PT. Batamec shipyard = 35.61 MH/CGT, PT. Dok & Perkapalan Surabaya = 27.49 MH/CGT, PT. Karimun Sembawang Shipyard = 27.49 MH/CGT, and PT. PAL Indonesia = 19.89 MH/CGT.
Pembuatan Media Penyuluhan Berbasis Kasus Data Penyebab Diare pada Balita di Daerah Keputih yang Berobat di Medical Center ITS Erma Oktania Permatasari; I Nyoman Budiantara; Agnes Tuti Rumiati; Ismaini Zain; Vita Ratnasari; Madu Ratna
Sewagati Vol 7 No 5 (2023)
Publisher : Pusat Publikasi ITS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j26139960.v7i5.224

Abstract

Salah satu permasalahan kependudukan di Indonesia adalah kesehatan balita. Penyakit yang dianggap ganas dan menjadi peringkat ketiga pada kasus kematian balita adalah diare. Diare merupakan peningkatan pengeluaran tinja dengan konsistensi lebih cair dan terjadi minimal 3 kali dalam 24 jam. Diare pada balita mengeluarkan tinja > 10 g/kg/24 jam, sedangkan rata-rata pengeluaran tinja sebesar 5-10 g/kg/24 jam. Diare terdiri dari dua macam, yaitu diare akut yang berlangsung kurang dari 14 hari dan diare kronik yang berlangsung lebih dari 15 hari. Medical Center mencatat terdapat peningkatan kasus diare pada balita setiap bulan dari tahun 2019 sampai 2020. Medical Center ITS merupakan pelayanan kesehatan yang terdapat di ITS dan mitra karena sasaran pengabdian masyarakat ini adalah masyarakat di Kelurahan Keputih, Sukolilo, Surabaya. Diare diduga dipengaruhi oleh tempat pembuangan tinja keluarga, sumber air minum yang digunakan sehari-hari, pendidikan orang tua, pekerjaan orang tua, usia anak, pemberian ASI eksklusif oleh ibu kepada balita, kebiasaan mencuci tangan orang tua, dan kebiasaan mencuci bahan makanan. Perlu adanya diskusi dengan narasumber (dokter dari Medical Center ITS) dan analisis lebih lanjut untuk mengetahui faktor signifikan penyebab kasus diare pada balita. Hasil tersebut dilakukan pembuatan media penyuluhan kepada masyarakat dengan harapan kasus diare pada balita dapat diminimalkan.
MATRIKS KOVARIANSI DALAM REGRESI NONPARAMETRIK MULTIRESPON PADA KASUS KORELASI SAMA DAN KORELASI TIDAK SAMA Budi Lestari; I Nyoman Budiantara; Sony Sunaryo; Muhammad Mashuri
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2950

Abstract

In the real cases, we are frequently faced the problem in which two or more dependent variables are observed at several values of the independent variables, such as at multiple time points. Multi-response nonparametric regression model, especially smoothing spline model, provides powerful tools to model the function which represents association of among the variables. The problem is how to estimate nonparametric regression curve of the multi-response nonparametric regression model. The nonparametric regression curve can be estimated using spline estimator approach, that is by carrying out penalized weighted least-squares optimation. Therefore, we need a covariance matrix which will be used as a weight of the optimation. In this paper, we determine the construction of covariance matrix for both equal and unequal of correlations cases. The results show that the covariance matrices have quite similar construction of diagonal elements but the elements outside the diagonal have very different construction that depend on the construction of the Jordan matrix.
Co-Authors Achmad Zubaydi Agnes Tuti Rumiati Anita Trias Anggraeni Ayu Febriana Dwi Rositawati Ayu Ukhti Mufidah Ayuk Putri Sugiantari Azizah Azizah Bagiyo Suwasono Bagiyo Suwasono Bagiyo Suwasono, Bagiyo Bambang Widjanarko Otok Benny Kusuma Budi Lestari Budi Lestari Camelia Nanda Sholicha Chairunnisa, Nurul Rizky Crespo, Mohamad Dani, Andrea Dani, Andrea Tri Rian Delila Ramadanti Bidari Dewi Wahyu Setyowati Dhira Audhia Pratiwi Eko Wahyu Wibowo Elfrida Kurnia Litawati Erma Oktania Permatasari Errina Dwi Igustin Fadhlul Rahim Febriyani, Eka Riche Firda Fahrun Nisa' Fitriana, Dewi Fortano, Nauvalla Farhan Putra Fredi Suryadi Fredi Suryadi Hadianti, Wafirah Putri Hesikumalasari Hesikumalasari I Dewa Ayu Made Istri Wulandari I Gusti Putu Surya Darma Inggar Putri Merdekawati Irma Wahyu Rosanti Irma Yahya Ismaini Zain Kartika Fitriasari Khaerun Nisa' Krisna Wulandari Latifatul Mubarokah Lilik Hidayati, Lilik Ludia Ni’matuzzahroh M. Fariz Fadillah Mardianto Made Ayu Dwi Octavanny Madu Ratna Merly Fatriana Bintariningrum Meyda Arynta muhammad mashuri Nalim Nalim Ni Putu Dera Yanthi Nisa', Khaerun Novalia Dwita Pramitasari Novia Asri Kurniawati Nur Chamidah Nuraini, Ulfa Siti Nuraziza Arfan Nuroini, Husna Mir'atin Nuroini, Husna Miratin Nuroini, Husna Mir’atin Nurul Fajriyyah Nurul Fitriyani Nurul Izzah Nym Cista Striratna Dewi Octavianta Romauli Sitanggang Patrica Pungky Gabrela Permatasari, Erma Oktania Pramaningrum, Dea Saraswati Puspita Khanela Putra, Fachrian Bimantoro Putri, Asyifa Charmadya Ramadhani, Riska Kunti Ratri Galuh Pramesti Reza Mubarak Riana Kurnia Dewi Rifani Nur Sindy Setiawan Rizkiana Prima Rahmadina Robiatul Maziyah Ruli Sartika Sari Sherly Mega Tri Marina Shofa F Nisai Sifriyani, Sifriyani Siti Nasfirah Sjarief Widjaja Sony Sunaryo Sony Sunaryo Suryo Guritno Suryo Guritno Tavio, Tavio Tuti Rumiati, Agnes Vita Ratnasari Wiyli Yustanti Zaed Yuliadi Zaed Yuliadi, Zaed