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Journal : E-Jurnal Matematika

PERBANDINGAN REGRESI KOMPONEN UTAMA DAN ROBPCA DALAM MENGATASI MULTIKOLINEARITAS DAN PENCILAN PADA REGRESI LINEAR BERGANDA NI WAYAN YULIANI; I KOMANG GDE SUKARSA; I GUSTI AYU MADE SRINADI
E-Jurnal Matematika Vol 2 No 4 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2013.v02.i04.p050

Abstract

Multiple linear regression analysis with a lot of independent variable always makes many problems because there is a relationship between two or more independent variables. The independent variables which correlated each other are called multicollinearity. Principal component  analysis which based on variance covariance matrix is very sensitive toward the existence of outlier in the observing data. Therefore in order to overcome the problem of outlier it is needed a method of robust estimator toward outlier. ROBPCA is a robust method for PCA toward the existence of outlier in the data. In order to obtain the robust principal component is needed a combination of Projection Pursuit (PP) with Minimum Covariant Determinant (MCD). The results showed that the ROBPCA method has a bias parameter and Mean Square Error (MSE) parameter lower than Principal Component Regression method. This case shows that the ROBPCA method better cope with the multicollinearity observational data influenced by outlier.
FAKTOR-FAKTOR YANG MEMENGARUHI PDB INDONESIA DENGAN PERSAMAAN SIMULTAN 2SLS NI MADE SRI KUSUMAWARDHANI; I GUSTI AYU MADE SRINADI; MADE SUSILAWATI
E-Jurnal Matematika Volume 1, No 1, Tahun 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/MTK.2012.v01.i01.p018

Abstract

Economic growth is indicated by an increase in the value of Gross Domestic Product (GDP). The size of GDP is influenced by various factors, including the Household Consumption, Investment, Government Spending, and Net Exports. One of the components that contribute to determine the amount of GDP is investment. According to the concept of macroeconomics, investment is also influenced by the GDP, tax revenue, and Currency. The reciprocal relationship between GDP and the investment is called a simultaneous relationship, therefore this study uses simultaneous equation Two Stage Least Squares (2SLS). 2SLS is one of the statistical methods used to replace the OLS method that can not be used to estimate an equation in a system of simultaneous equations. After analysis, the result shows the variables that influence the investment equation are GDP, tax, and revenue.
ANALISIS PERPIDAHAN PENGGUNAAN MEREK SIMCARD DENGAN PENDEKATAN RANTAI MARKOV NURMA ALIYUWANINGSIH; I WAYAN SUMARJAYA; I GUSTI AYU MADE SRINADI
E-Jurnal Matematika Vol 7 No 1 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2018.v07.i01.p185

Abstract

The aim of this research is to know the displacement made by consumers of GSM cards and predictions of market share when reaching equilibrium conditions for each of the displacements made by consumers of GSM cards. This research uses Markov chain method. Markov chain method produces probabilistic information that can be used to assist for making decision. In Markov’s analysis, the equilibrium conditions are conditions in which the variables in the system ultimately bring the transition probabilities in stable or unchanged conditions. Data from this research is divided into two categories namely data about brand switching of GSM cards and data about the transfer of GSM cards brand usage. Data brand switching of GSM cards obtained from users who use one GSM cards, while the data transfer use of GSM cards obtained from user more than one GSM cards. The results of this research indicate that GSM card displacement equilibrium conditions was achieved in the 9th period, whereas the results of switching the use of GSM card shows that equilibrium conditions for phone and SMS users is in the 15th period, and equilibrium conditions for internet user is reached in 5th period.
PENGELOMPOKAN TINGKAT KRIMINALITAS DENGAN METODE AGGLOMERATIVE DAN K-MEANS SERTA PEUBAH PENCIRINYA NYOMAN GDE PRAJNAWIWEKA RATMASA TARAM; I KOMANG GDE SUKARSA; I GUSTI AYU MADE SRINADI
E-Jurnal Matematika Vol 8 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/MTK.2019.v08.i02.p241

Abstract

The purpose of this research is it define the classification of crime rate based on the type of crime and its characterization variable. The data used in this research are secondary data in form of data on the number of crime rates based on the type of crime in 32 regional police in the province with 12 variables. This research is used Agglomerative and K-Means method along with Biplot Analysis. The result shows that there are three classification based upon Single Linkage as the best method which each characteristic of every classification is the crime of family abuse, crime of minor mistreatment and crime of corruption.
KLASIFIKASI KARAKTERISTIK KECELAKAAN LALU LINTAS DI KOTA DENPASAR DENGAN PENDEKATAN CLASSIFICATION AND REGRESSION TREES (CART) I GEDE AGUS JIWADIANA; I KOMANG GDE SUKARSA; I GUSTI AYU MADE SRINADI
E-Jurnal Matematika Vol 4 No 4 (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/MTK.2015.v04.i04.p103

Abstract

The aim of this research is to determine the classification characteristics of traffic accidents in Denpasar city in January-July 2014 by using Classification And Regression Trees (CART). Then, for determine the explanatory variables into the main classifier of CART. The result showed that optimum CART generate three terminal node. First terminal node, there are 12 people were classified as heavy traffic accident characteritics with single accident, and second terminal nodes, there are 68 people were classified as minor traffic accident characteristics by type of traffic accident front-rear, front-front, front-side, pedestrians, side-side and location of traffic accident in district road and sub-district road. For third terminal node, there are 291 people were classified as medium traffic accident characteristics by type of traffic accident front-rear, front-front, front-side, pedestrians, side-side and location of traffic accident in municipality road and explanatory variables into the main splitter to make of CART is type of traffic accident with maximum homogeneity measure of 0.03252.
PENGELOMPOKAN SAYURAN BERDASARKAN KEMIRIPAN KANDUNGAN GIZI AYU SANDRA TIARA DEWI; NI LUH PUTU SUCIPTAWATI; I GUSTI AYU MADE SRINADI
E-Jurnal Matematika Vol 7 No 2 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2018.v07.i02.p199

Abstract

One of the either of health maintain is trough the food consumption pattern that fulfill nutrient content. Vegetables are needed to body as source of vitamin, mineral and fiber in gaining healthy food pattern as a recommended guidance of nutrient balancing for optimal health. This research is aimed to determine several type of vegetables that have similarity of nutrient content and types of nutrient content which characterized of each vegetables grup. The method is biplot analysis. Biplot analysis can show the type of vegetables and type of nutrient content simultaneously in a two-dimensional plot. From this plot, the information about vegetables that have similarity of nutrient content and type of nutrient content which characterized of each vegetables group. This research used 37 type of vegetable as an observation object and type of nutrient content observed is 13. The result of this analysis is obtained 7 vegetables group with different characteristic changes.
ANALISIS REGRESI BAYES LINEAR SEDERHANA DENGAN PRIOR NONINFORMATIF ANAK AGUNG ISTRI AGUNG CANDRA ISWARI; I WAYAN SUMARJAYA; I GUSTI AYU MADE SRINADI
E-Jurnal Matematika Vol 3 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/MTK.2014.v03.i02.p064

Abstract

The aim of this study is to apply Bayesian simple linear regression using noninformative prior. The data used in this study is 30 observational data with error generated from normal distribution. The noninformative prior was formed using Jeffreys’ rule. Computation was done using the Gibbs Sampler algorithm with 10.000 iteration. We obtain the following estimates for the parameters, with 95% Bayesian confidence interval (0,775775; 2,626025), with 95% Bayesian confidence interval (2,948; 3,052), and with 95% Bayesian confidence interval (0,375295; 1,114). These values are not very different compared to the actual value of the parameters.
ANALISIS KAPASITAS RUNWAY BANDARA I GUSTI NGURAH RAI MENGGUNAKAN TEORI ANTREAN KHOSYI RUKITO; I WAYAN SUMARJAYA; I GUSTI AYU MADE SRINADI
E-Jurnal Matematika Vol 8 No 3 (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/MTK.2019.v08.i03.p258

Abstract

Bali, as one of the world's tourism destination, located separately from other islands in Indonesia. Many tourists travel to Bali by airplane, and I Gusti Ngurah Rai Airport is the only international airport that serves as the main gate to Bali. There are situations in which the airport's runway often has to deal with an extensive queue for both landing and departure, which results in flight delays. Flight delays have caused some problems such as ruin airlines reputation and decline demand by passangers. The aim of the research is to analyze the efficiency of I Gusti Ngurah Rai International Airport's runway so the airport service can be optimized using queueing theory. In this research, there were four categories used: the high season in July 2018, the special event Annual Meeting International Monetary Fund-World Bank in October 2018, the low season in February 2019, and the overall data. In this research, it was found that the model used in this airport’s runway is (M/G/I):(FIFO/?/?). This model is not in a steady-state condition, with the level of bustle approximately around 177% until 191%. Therefore, an additional runway is recommended and also the runway service needs to be accelerated for optimal condition.
HUBUNGAN PENGARUH PENOLONG KELAHIRAN TERHADAP STATUS KELAHIRAN BAYI DENGAN KONTROL VARIABEL CONFOUNDING DI KABUPATEN BULELENG (STUDI KASUS: PUSKESMAS SUKASADA II) KADEK NOVIA DWIJAYANTHI; I GUSTI AYU MADE SRINADI; NI LUH PUTU SUCIPTAWATI
E-Jurnal Matematika Vol 2 No 4 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2013.v02.i04.p055

Abstract

One indicator of the Human Development Index (HDI) is the Infant Mortality Rate (IMR). IMR is lower HDI showed a better area when compared with other regions for different values ??of the same indicators. This study aims to determine the relationship between the birth attendants birth status and confounding variables that affect the status of births in Buleleng regency, with Sukasada II health center located in District Sukasada - Buleleng regency as the location of the observed cases of infant mortality. Results of analysis using logistic regression showed that (1) birth attendants, (2) maternal age, and (3) income household heads have a real influence on the status of the baby's birth. Birth status with medical birth attendants have the opportunity to live 2,427 times compared with non-medical birth attendants with controlled variables maternal age and income of the family head.
APLIKASI MODEL REGRESI SEMIPARAMETRIK SPLINE TRUNCATED (Studi Kasus: Pasien Demam Berdarah Dengue (DBD) di Rumah Sakit Puri Raharja) NI WAYAN MERRY NIRMALA YANI; I GUSTI AYU MADE SRINADI; I WAYAN SUMARJAYA
E-Jurnal Matematika Vol 6 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/MTK.2017.v06.i01.p149

Abstract

Semiparametric regression is a regression model that includes parametric components and nonparametric components in a model. The regression model in this research is truncated spline semiparametric regression with case studies of patients with Dengue Hemorrhagic Fever (DHF) at Puri Raharja Hospital during the period of January to March 2015. The best regression model estimation is obtained from the selection of optimal knots which has minimum Generalized Cross Validation (GCV) is. Parametric components in this research include age (years), body temperature (0C), platelets and hematocrit (%) as a nonparametric component. The minimum value of GCV is 0.03552045 achieved at the point of 39.6 knots, MSE value of 0.0296922; and the value of coefficient determination is 98.91%, obtained from semiparametric regression model truncated linear spline (order 2) with a single point of knots.
Co-Authors AA Sudharmawan, AA ADE KUSUMA DEWI Agnes Juliet Boking Agnes Juliet Bokings Agung Dwi Cahya Megamahaputra AGUST WIRAS ARDI KUSUMA ANAK AGUNG ISTRI AGUNG CANDRA ISWARI ANNA FITRIANI AYU SANDRA TIARA DEWI Ayuk Dwi Cahyani Chairun Nisa Cokorda Istri Tirta Rusmala Dewi Deddi Prima Putra DERY MAULANA Desak Putu Eka Nilakusmawati DEWA AYU DWI ASTUTI Dewi, Cokorda Istri Tirta Rusmala DOMINGGAS TEO Dyan Ayu Wijayanti EKA ARISTA ANJASARI Eriska May Wulandari EVARISTUS VERIYOGI YALSCHEN LEMBUNAI G. K. GANDHIADI G. K. GANDHIADI GILANG BIMASAKTI ANDHIKA GUSTI AYU PUTU YULIANDARI GUSTI AYU RATIH ASTARI HIRZI FIRDAUSI I GEDE AGUS JIWADIANA I Gede Eza Purnama Putri I Gede Purna Adi Putra I GUSTI AYU MADE VALENTINA DEWI I Kadek Yudha Pramana Adi I KOMANG GDE SUKARSA I Komang Gede Sukarsa I Made Agus Gelgel Wirasuta I MADE BUDIANTARA PUTRA I MADE PRABA ESHA SUKSEMAWAN I Nyoman Widana I Putu Eka Nila Kencana I Putu Eka Suarsa I PUTU YUDANTA EKA PUTRA I Wayan Sumarjaya I.K.G. Sukarsa IDA AYU MADE SUPARTINI Isabel Divya Georgiana Walewangko K. Jayanegara KADEK NOVIA DWIJAYANTHI KASTIN DWILEN PONG SUMAE Ketut Jayanegara KHOSYI RUKITO Komang Dharmawan LUH KOMANG MARDIANI Luh Putu Ratna Sundari LUH PUTU SAFITRI PRATIWI LUIS RICARDO PANDIANGAN Luky Adrianto M ARRIE KUNILASARI ELYNA Made Asih MADE AYU DWI OCTAVANNY MADE NARYMURTI WIDYASTUTI Made Novita Dewi Made Susilawati Margaretha Ratih Dyah Novitasari MILATUS SHOLIKHA Mirza Rizaldi Sudrajat Mohamad Dwi Agus Arianto MULIA YASMAN NADIYA YUVITA RIZKI NATASYA WIDIA PUTRI Ni Kade Hindu Pertiwi NI KADEK ARISKA DEWI Ni Kadek Dhirayani NI KADEK DWI ARISYA AFRILIANTI NI KADEK ENDAH YANITA UTARI Ni Komang Viona Amelia Putri NI LUH GEDE SINTA ARYATI NI LUH NIKASARI Ni Luh Putu Suciptawati NI LUH WIWIN YUNIARTI Ni Made Asih Ni Made Audi Kirei Saraswati Ni Made Putri Ja Yanti NI MADE SEKARMINI NI MADE SRI KUSUMAWARDHANI NI NYOMAN UTAMI DEWI Ni Putu Dhea Angelita Dusak NI PUTU DIAN ASTUTIK Ni Putu Linda Laksmiani Ni Putu Manik Maharani NI PUTU MEILING UTAMI NI PUTU MIRAH SRI WAHYUNI Ni Putu Monikha Alvionitha NI PUTU NIA IRFAGUTAMI NI PUTU PREMA DEWANTI NI PUTU RINA ANGGRENI NI WAYAN ARI SUNDARI NI WAYAN ARIS APRILIA A.P NI WAYAN ASRI PRADNYANI Ni Wayan Dewi Anastasya Pratiwi Ni Wayan Merry Nirmala Yani NI WAYAN YULIANI NI WAYAN YUNI CAHYANI NOVIAN ENDI GUNAWAN NUR FAIZA NURMA ALIYUWANINGSIH NYOMAN GDE PRAJNAWIWEKA RATMASA TARAM NYOMAN KRISHNA PRATIWI DANGIN Nyoman Wendri PALUPI PURNAMA SARI PANDE PUTU BUDI KUSUMA Putu Edi Dimas Saputra PUTU SUSAN PRADAWATI Putu Wulan Cahayaningrat Ratna Sari Widiastuti SORAYA SARAH AFIFAH TJOK GDE SAHITYAHUTTI RANANGGA TRI ALIT TRESNA PUTRA Ulfatun Farika Novitasari ULYATIL AENI Wayan Evi Handayani Wijayakusuma, I Gusti Ngurah Lanang WILDAN FATTURAHMAN MUJTABA Yani Arthayanti Yasmin Roni Mz ZANUAR SEPTYADI