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Jurnal Matematika
Published by Universitas Udayana
ISSN : 16931394     EISSN : 26550016     DOI : https://doi.org/10.24843/JMAT
Core Subject : Education,
Mathematics
Jurnal Matematika (p-ISSN: 1693-1394 |e-ISSN: 2655-0016| DOI: 10.24843/JMAT ) is an open access journal which publishes the scientific works for researchers. The articles of this journal are published every six months, that is on June and December.
Arjuna Subject : -
Articles 187 Documents
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Estimasi Model Seemingly Unrelated Regression (SUR) dengan Metode Generalized Least Square (GLS) Ade Widyaningsih; Made Susilawati; I Wayan Sumarjaya
Jurnal Matematika Vol 4 No 2 (2014)
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.2014.v04.i02.p49

Abstract

Regression analysis is a statistical tool that is used to determine the relationship between two or more quantitative variables so that one variable can be predicted from the other variables. A method that can used to obtain a good estimation in the regression analysis is ordinary least squares method. The least squares method is used to estimate the parameters of one or more regression but relationships among the errors in the response of other estimators are not allowed. One way to overcome this problem is Seemingly Unrelated Regression model (SUR) in which parameters are estimated using Generalized Least Square (GLS). In this study, the author applies SUR model using GLS method on world gasoline demand data. The author obtains that SUR using GLS is better than OLS because SUR produce smaller errors than the OLS.
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).
Analisis Biplot untuk Pemetaan Posisi dan Karakteristik Usaha Pariwisata di Provinsi Bali I Gusti Ayu Made Srinadi; I Wayan Sumarjaya
Jurnal Matematika Vol 6 No 1 (2016)
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.2016.v06.i01.p66

Abstract

Tujuan penelitian ini adalah mengetahui pemetaan posisi dan usaha pariwisata penciri pada kabupaten/kota di Provinsi Bali, mengetahui kabupaten/kota yang tergabung dalam satu kelompok, dan usaha pariwisata penciri pada masing-masing kelompok. Variabel dalam penelitian ini adalah persentase masing-masing usaha pariwisata pada tiap kabupaten/kota di Provinsi Bali.  Usaha pariwisata dalam penelitian ini adalah usaha pariwisata yang tertuang dalam Undang-undang RI  Nomor 10 tahun 2009 dan telah tercatat di seluruh kabupaten/kota meliputi: a) daya tarik wisata; b) kawasan pariwisata; c) jasa transportasi wisata; d) jasa perjalanan wisata; e) jasa makanan dan minuman; f) penyediaan akomodasi; g) penyelenggaraan pertemuan, perjalanan insentif, konferensi, dan pameran; h) jasa pramuwisata; dan l) wisata tirta. Analisis statistika yang diterapkan untuk mencapai tujuan penelitian adalah analisis biplot. Kabupaten/Kota di Provinsi Bali, menurut jenis-jenis usaha pariwisata  dapat dikelompokkan dalam 4 kelompok.  Tiga kelompok hanya memiliki satu anggota yaitu kelompok satu: Kota Denpasar, kelompok dua: Kabupaten Badung, dan kelompok tiga: Kabupaten Gianyar. Kabupaten-kabupaten lainnya yaitu Jembrana, Tabanan, Klungkung, Bangli, Buleleng, dan Karangasem bergabung dalam kelompok empat.  Usaha pariwisata yang menjadi karakteristik kota Denpasar adalah usaha jasa perjalanan wisata, jasa transportasi wisata, pramuwisata, MICE, dan wisata tirta.  Kabupaten Badung, kondisi usaha pariwisatanya yang paling mendekati kota Denpasar, dicirikan oleh usaha jasa makanan dan minuman, usaha akomodasi, dan kawasan pariwisata.  Kabupaten Gianyar,  posisinya paling dekat dari kelompok 4 (enam kabupaten lain di provinsi Bali) dicirikan oleh usaha daya tarik wisata.
Faktor-faktor yang Memengaruhi Kualitas Pelayanan Jaminan Kesehatan Bali Mandara Made Susilawati; Ni Ketut Tari Tastrawati; Ni Nyoman Widiasih
Jurnal Matematika Vol 4 No 1 (2014)
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.2014.v04.i01.p40

Abstract

Penelitian ini bertujuan untuk mengetahui faktor-faktor yang memengaruhi kualitas pelayanan jaminan kesehatan Bali Mandara sehingga dapat memberikan pertimbangan bagi Pemerintah daerah dalam rangka perencanaan peningkatkan kualitas kesehatan. Penelitian ini mengambil responden sebanyak 150 resoponden yang menggunakan jaminan kesehatan Bali Mandara. Dalam penelitian ini, 27 variabel yang memengaruhi kualitas pelayanan jaminan kesehatan Bali Mandara dianalisis dengan analisis faktor yang mereduksi sejumlah variabel yang ada menjadi sedikit/berarti dan menamakannya sebagai faktor. Hasil dalam penelitian ini menunjukkan bahwa terdapat 6 faktor yang memengaruhi kualitas pelayanan jaminan kesehatan bali Mandara dengan sumbangan kumulatif sebesar 76.021%. Faktor yang paling dominan adalah faktor Bukti Langsung dengan nilai eigen sebesar 10.165 atau faktor ini mampu menjelaskan 37.648% dari seluruh total faktor-faktor yang memengaruhi kualitas pelayanan jaminan kesehatan Bali Mandara.
Pengembangan Media Pembelajaran Program Linier Berbasis Geogebra di STMIK STIKOM INDONESIA Ni Wayan Suardiati Putri; Kadek Suryati
Jurnal Matematika Vol 9 No 2 (2019)
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.2019.v09.i02.p117

Abstract

The type of research conducted is development research. The aim of this research is to produce a valid and practical learning media GeoGebra based program at STMIK STIKOM Indonesia. The model of development used is Model Plomp consisting of (1) initial investigation stage, (2) design stage, (3) realization stage/construction, (4) test, evaluation and revision, and (5) implementation. The research is only up to a limited trial, not implementation. Validity testing of content, design and media is carried out by experts in their fields. While practicality tests are measured through students' responses to the use of media. The results showed that the learning media were classified as valid and practical with an average value of validity test on content, design, and media respectively were 3.78, 3.43, and 3.57. As for the value of practicality tests conducted by students is 85.86%.
A BOUNDARY ELEMENT METHOD FOR STEADY INFILTRATION FROM A SINGLE CHANNEL N. WIDANA; MARIA LOBO
Jurnal Matematika Vol. 1, No. 1 April 2007
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.2007.v01.i01.p04

Abstract

The matric flux potential and horizontal and vertical flux distributions are obtained usingintegral equation techniques for a single irrigation channel. The theory is based on the assumptionthat the hydraulic conductivity is an exponential function of the soil water potential. In therelevant special cases the results are compared with results obtained previously by Batu [4] andWarrick and Loman [20].
Model Partial Least Square Regression (PLSR) Pengaruh Bidang Pendidikan dan Ekonomi Terhadap Tingkat Kemiskinan di Indonesia I Gusti Ayu Made Srinadi
Jurnal Matematika Vol 7 No 1 (2017)
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.2017.v07.i01.p83

Abstract

Partial Least Square Regression (PLSR) is one of the methods applied in the estimation of multiple linear regression models when the ordinary least square method (OLS) can not be used. OLS generates an invalid model estimate when multicollinearity occurs or when the number of independent variables is greater than the number of data observations. In conditions that OLS can be applied in obtaining model estimation, want to know the performance of PLSR method. This study aims to determine the model of PLSR the influence of literacy rate, the average of school duration, school enrollment rate, Income per capita, and open unemployment rate to the level of poverty seen from the percentage of poor people in Indonesia by 2015. Estimated model with OLS , Only variable of literacy rate are included in the model with the coefficient of determination R2 = 32.52%. PLSR model estimation of cross-validation, leave-one-out method with one selected component has R2 of 33,23%. Both models shows a negative relationship between poverty and literacy rate. The higher literacy rate will reduce the poverty level, indicating that the success of the Indonesian government in the development of education will support the government's success in reducing poverty level.
Analisis Survival Parametrik Pada Data Tracer Study Universitas Sriwijaya Alfensi Faruk
Jurnal Matematika Vol 5 No 2 (2015)
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.2015.v05.i02.p57

Abstract

In this study, we aimed to (1) show whether the Sriwijaya University tracer study data follow some survival distributions,  (2)  find the best survival distribution to represent the data, and (3) estimate the survival probability and hazard rate of the data. The tracer study was conducted from January 1, 2012 to December 31, 2012. There were 637 alumni who participated in the study. The result showed that the data follow the normal distribution, logistic distribution, and SEV distribution, in which the normal distribution was the best in representing the data. Based on the estimation procedure, the lowest probability of finding the first job was before graduation and the highest probability was about two years after graduation.
Perbandingan Analisis Generalized Poisson Regression (GPR) dan Regresi Binomial Negatif Untuk Mengatasi Overdispersi Studi Kasus: Pemodelan Jumlah Kasus Kanker Serviks di Jawa Timur Brianika Irawati; Purhadi .
Jurnal Matematika Vol 2 No 2 (2012)
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.2012.v02.i02.p25

Abstract

Data jumlah kasus kanker serviks di Provinsi Jawa Timur pada penelitian ini merupakan salah satu contoh data diskrit (count) dimana pada umumnya menggunakan regresi poisson dalam analisisnya. Karakteristik penting dalam pemodelan ini yaitu mean harus sama dengan varians. Namun, kondisi seperti ini sulit dipenuhi sedangkan pada umumnya sering ditemui data diskrit dengan varians lebih besar dibandingkan dengan rata-ratanya atau disebut dengan over dispersi seperti yang terjadi pada kasus jumlah kanker serviks di Jawa timur ini. Untuk menangani masalah over dispersi, dapat dilakukan pemodelan dengan Generalized Poisson Regresion (GPR) dan Regresi Binomial Negatif.  Model ini dapat mengatasi masalah over dispersi karena tidak mengharuskan nilai mean yang sama dengan nilai varians seperti pada model regresi poisson. Model terbaik menggunakan GPR menghasilkan 8 variabel prediktor yang signikan mempengaruhi jumlah kasus kanker serviks di Jawa Timur antara lain persentase tenaga medis (X2), persentase penduduk perempuan yang umur kawin pertama ? 16 tahun (X3), persentase penduduk miskin (X7), persentase penduduk perempuan yang menggunakan kondom (X8), persentase penduduk perempuan yang berstatus kawin (X10), persentase penduduk perempuan usia ? 35 tahun (X11), persentase rata-rata pengeluaran untuk konsumsi makanan per bulan (X12), dan persentase penduduk yang merokok (X13). Sedangkan model terbaik menggunakan regresi binomial negative menghasilkan 2 variabel prediktor yang signifikan yaitu persentase penduduk yang tinggal di daerah berstatus desa (X5) dan persentase rata-rata pengeluaran untuk konsumsi makanan per bulan (X12). Model GPR menghasilkan nilai AIC sebesar 349,90. Sedangkan model regresi binomial negatif menghasilkan nilai AIC sebesar 327,65. Maka model terbaik diperoleh dari model regresi binomial negatif karena menghasilkan nilai AIC terkecil.
Implementasi Model Fungsi Transfer dan Neural Network untuk Meramalkan Harga Penutupan Saham (Close Price) Nila Rahmawati; Trianingsih Eni Lestari
Jurnal Matematika Vol 9 No 1 (2019)
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.2019.v09.i01.p107

Abstract

The multivariate forecasting model is a model of forecasting that takes into the causal relationship between a prediction factor with one or more independent variables. This study uses multivariate forecasting model that are transfer function and neural network model. The transfer function and neural network model are used for forecasting of closing stock price data by considering the opening stock price data as the independent variable in the forecasting model. The data used in this study is the monthly closing stock price and opening stock price data of PT. Bank Central Asia, Tbk. The best model for forecasting of closing stock price is a transfer function model that has MSE, MAPE, and MAE values ??smaller than the neural network model. Keywords: transfer function, neural network, opening stock price, closing stock price

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