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LUH PUTU SAFITRI PRATIWI
Institut Teknologi Dan Bisnis STIKOM Bali
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Journal : Jurnal Matematika

 1 
Pemilihan Titik Knot Optimal Model Spline Truncated Dalam Regresi Nonparametrik Multivariabel dengan GCV Luh Putu Safitri Pratiwi
Jurnal Matematika Vol 10 No 2 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2020.v10.i02.p125

Abstract

One of the most frequently studied nonparametric regression model approaches is the spline truncated. This method is applied to cases of Maternal Mortality Rate because in various cases there is an increase in maternal mortality problems so that the government is expected to be more serious in dealing with and suppressing the MMR value through the programs launched or by overcoming the factors that significantly influence the high MMR value. This study aims to examine the determination of the optimal knot point of the multivariable nonparametric spline regression model using the GCV method as the optimal knot point selection method. The criteria for selecting the best model in this study using the MSE value. The results obtained are the best model suitable for AKI 2017, namely by using the GCV method which is located in the three knot linear spline, which is 0.07722 and an MSE value of 0.018. The variables that have an effect on the model are the percentage of deliveries performed with the help of medical personnel (x1), the percentage of pregnant women who receive Fe1 tablets (x2), the percentage of pregnant women implementing the K1 (x3), and the percentage of pregnant women implementing the K4 (x4).
Perbandingan Gcv Dan Ubr Dalam Regresi Nonparametrik Multivariabel Luh Putu Safitri Pratiwi; Ni Putu Meina Ayuningsih; Ni Made Dwijayani
Jurnal Matematika Vol 11 No 1 (2021)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2021.v11.i01.p137

Abstract

Analisis regresi merupakan alat dalam statistika dan sering dipakai untuk mengintepretasikan sebab akibat antara satu/beberapa variabel prediktor terhadap satu variabel respon. Spline truncated merupakan pendekatan model regresi nonparametrik yang popular dan sering digunakan. Penelitian ini bertujuan sebagai penentu titik knot optimal yang dimana digunakan metode GCV dan UBR. Dalam hal memilih kriteria model terbaik pada penelitian ini dengan menggunakan nilai MSE. Hasil GCV minimum diperoleh sebesar 0,077 serta nilai MSE sebesar 0,036 yang terletak pada model Spline linier tiga knot.
Pemodelan Lama Sekolah di Kabupaten Gianyar dengan Pendekatan MARS luh putu safitri pratiwi
Jurnal Matematika Vol 12 No 1 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2021.v12.i01.p145

Abstract

MARS merupakan model yang tidak mengasumsikan bentuk hubungan fungsional antara variabel respon dan prediktor, dan mempunyai bentuk fungsional yang fleksibel. Penelitian ini bertujuan mendapatkan model rata-rata lama sekolah dan mengetahui faktor-faktor yang mempengaruhi lama sekolah di Kabupaten Gianyar. Untuk memilih model MARS terbaik, pada penelitian ini menggunakan nilai Generalized Cross Validation (GCV) minimum yang dihasilkan tiap model kombinasi dari minimum observasi (MO), basis function (BF) dan Interaksi (MI). Hasil yang diperoleh analisis MARS dengan GCV sebesar 0.950 menghasilkan kombinasi BF = 48, MO = 2 dan MI = 3. Dengan faktor mempengaruhi lama sekolah yaitu IPM (Indeks Pembangunan Manusia), pengeluaran RT perkapita (ribu rupiah), dan AMH ( Angka Melek Huruf).
Co-Authors A. A Ayu Meitridwiastiti A.A Ayu Meitridwiastiti Dedy Panji Agustino Dedy Panji Agustino Desak Putu Eka Nilakusmawati EDWAR EDWAR Gede Suwardika Hendayanti, Ni Putu Nanik I Gede Bintang Arya Budaya I Gede Suardika I Gusti Ayu Made Srinadi I Ketut Putu Suniantara I Ketut Putu Suniantara I Made Hendra M. Pramayasa I Made Hendra Mahajaya Pramayasa I Made Pasek Pradnyana Wijaya I Made Pasek Pradnyana Wijaya I Made Rudita I Wayan Astu Werdistira Ida Ayu Gde Suwiprabayanti Putra Kadek Dwi Pradnyani Novianti Kadek Masakazu Ketut Gus Oka Ciptahadi M. Azman Maricar Made Susilawati Ngakan Putu Rio Wiswambara Ni Luh Gede Kompyang Denia Pradnya Sulasih Ni Made Dwijayani Ni Putu Meina Ayuningsih Ni Putu Meina Ayuningsih Shofwan Hanief Suniantara, I Ketut Putu Wayan Astu Werdistira Wijaya, I Made Pasek Pradnyana