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All Journal INDONESIAN JOURNAL OF LEGAL AND FORENSIC SCIENCES Jurnal Matematika Journal on Education Udayana Journal of Social Sciences and Humanities (UJoSSH) Jurnal Cahaya Mandalika Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa International Journal of Applied Mathematics and Computing. E-Jurnal Matematika Jurnal Matematika
I Wayan Sumarjaya
Prodi Matematika FMIPA Universitas Udayana
Humanities Chemistry Computer Science & IT Dentistry Earth & Planetary Sciences Education Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Mathematics Medicine & Pharmacology Social Sciences

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Analisis Regresi Multilevel dalam Menentukan Variabel Determinan Nilai Ujian Akhir Nasional Siswa Ni Luh Putu Ayu Fitriani; I Putu Eka N. Kencana; 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.p64

Abstract

Hierarchical data are data where objects are clustered in their groups and for each of groups the variable(s) are set at different levels. It is common to analyze hierarchical data without examining individual’s data membership which affects the accuracy of analysis’ results.  Multilevel regression analysis is a method that can be chosen to overcomes issues regarding hierarchical data. This essay is aimed to apply multilevel regression analysis to evaluate score of national examination data from elementary school students at District of South Kuta, Bali.  These data were structured so that students are position as first level and are nested within their classes as the second level.  Furthermore, each of classes is nested within its respective elementary school as third level data. The application of three-level regression for these data set showed student’s score for national final test was significantly affected by teacher educational level of respective class.
UJI KENORMALAN UNIVARIAT: SUATU KAJIAN PUSTAKA I WAYAN SUMARJAYA
Jurnal Matematika Vol 1 No 1 (2010)
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.2010.v01.i01.p08

Abstract

Almost all statistical procedures, especially statistical inference, assumed that the sample distribution isnormally distributed. This normality assumption must be tested to ensure the correct use of the teststatistic, hence resulting a correct conclusion. This research discusses some univariate normality tests:test based on empirical distribution function, test based on moments, test based on correlation orregression, test based on sample entropy, test based on kernel method, test based on Polyacharacteristics, and test based on nonparametric method. This research also discuss normality test thatcapable of detecting outliers and discuss omnibus test that can give additional information about nonnormality.
Pendekatan-pendekatan Titik Sadel: Suatu Kajian Pustaka I Wayan Sumarjaya
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.p28

Abstract

Dalam banyak area riset seperti biologi dan ilmu kedokteran, sering dijumpai jumlah amatan terlalu sedikit atau informasi yang diperoleh sangat sedikit atau terbatas. Inferensi dengan menggunakan teorema limit pusat untuk menyimpulkan statistik yang diteliti mendekati normal tentu tidaklah tepat. Salah satu cara untuk mengatasi masalah ini adalah dengan menggunakan pendekatan titik sadel (saddlepoint approximation). Artikel ini mengulas konsep dan beberapa perkembangan penting pendekatan titik sadel seperti pendekatan titik sadel untuk rata-rata, fungsi distribusi kumulatif, distribusi bersyarat, statistik umum, dan distribusi posterior.
Memodelkan Ketergantungan dengan Kopula I Wayan Sumarjaya
Jurnal Matematika Vol 3 No 1 (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/JMAT.2013.v03.i01.p33

Abstract

Dalam statistika salah satu ukuran untuk melihat ketergantungan antara dua peubah adalah dengan menggunakan koefisien korelasi. Namun, dalam banyak aplikasi finansial terutama manajemen risiko finansial penggunaan korelasi kadang tidaklah tepat. Salah satu contoh kelemahan korelasi adalah ketidakmampuan korelasi untuk menangkap hubungan nonlinear antara dua peubah. Selain itu, sifat-sifat umum korelasi yang dikenal biasanya hanya berlaku pada distribusi eliptik. Untuk itu diperlukan suatu metode untuk mengeksplorasi struktur ketergantungan antarpeubah tersebut. Metode ini adalah kopula. Tujuan artikel ini adalah memberikan tutorial singkat tentang kopula dan estimasinya.
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.
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.
IMPLEMENTASI BEBERAPA UJI KENORMALAN OMNIBUS DENGAN PERANGKAT LUNAK R I WAYAN SUMARJAYA
Jurnal Matematika Vol 1 No 1 (2010)
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.2010.v01.i01.p06

Abstract

An omnibus normality test is a normality test that can give additional information about nonnormalityor other deviation from normality through the skewness and the kurtosis coefficients. The aim of thisresearch is to implement the omnibus D’Agostino-Pearson K2 test and modified Jarque-Bera teststatistic using R software.
Analisis Model Regresi Data Panel Tidak Lengkap Komponen Galat Dua Arah dengan Penduga Feasible Generalized Least Square (FGLS) Chrisna Anzella Jacob; I Wayan Sumarjaya; Made Susilawati
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.p42

Abstract

Data panel didefinisikan sebagai kumpulan pengamatan pada data tabulasi silang yaitu setiap objek yang sama diamati dari waktu ke waktu. Data panel yang memiliki jumlah pengamatan waktu berbeda di setiap objek pada data tabulasi silang disebut data panel tidak lengkap. Penelitian ini mencari nilai dugaan terhadap model regresi data panel tidak lengkap yang mengasumsikan pada random effect models dengan komponen galat dua arah.  Pendugaan dilakukan dengan terlebih dahulu mencari taksiran komponen variansi galat dua arah, kemudian melakukan penaksiran koefisien regresi data panel tidak lengkap dengan metode feasible generalized least square (FGLS).  
STUDI REPRODUSIBILITAS POLA PUNCAK KROMATOGRAM AKIBAT PENGARUH VARIASI PH DAN LAMA WAKTU EKSTRAKSI DENGAN MENGGUNAKAN CAPSUL D SEBAGAI MODEL Dewa Ken Budiputra; I Wayan Suirta; I Wayan Sumarjaya
Indonesian Journal of Legal and Forensic Sciences (IJLFS) Vol 4 (2014): Indonesian Journal of Legal and Forensic Sciences
Publisher : Penerbit, sejak 2012 : Asosiasi Ilmu Forensik Indonesia dan UPT Lab. Forensik Sain dan Kriminilogi - Universitas Udayana

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

Abstract

The TLC chromatogram peak pattern reproducibility of the contained D capsule was carried out. The pH and time extraction was varied. The extracted substances were spotted on the Al TLC SiGF254 plate, than it was eluted with TB mobile phase (cyclohexane: toluene: diethylamine 75:15:10 v/v). The extraction methods were liquid-liquid extraction with extraction time variation (15 minute, 30 minute, 45 minute and 60 minute) and solid phase extraction with pH variation (pH 10, pH 11 and pH 12). The extraction time influenced the TLC peak pattern. The substances were optimal extracted after 30 minutes extraction. There was no variation in the peak pattern after 30 minutes extraction. The pH value variation did not affected the peak pattern reproducibility.
Forecasting and Analysis of Australian Tourist Visits to Bali Using Bayesian Vector Autoregression I Wayan Sumarjaya; I Gusti Ayu Made Srinadi
Udayana Journal of Social Sciences and Humanities Vol 2 No 1 (2018): UJoSSH, Feburary 2018
Publisher : Research and Community Services Institutes of Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (496.081 KB) | DOI: 10.24843/UJoSSH.2018.v02.i01.p09

Abstract

Information about tourist visits, especially foreign tourist visits, plays important role in tourism planning. One of the main tourist markets for Bali is Australia. The aims of this research are twofold. First, we forecast the number of Australian tourist visits and we also forecast exchange rate and inflation. Second, we study the dynamic relationship between the number of tourist visits, exchange rate, and inflation for the next twelve months, for instance, 2017 and 2018. We model the visits, exchange rate and inflation using Bayesian vector autoregression. We compare several different priors such as Minnesota, normal-Wishart and normal diffuse independent normal-Wishart. Among these priors, the normal-Wishart prior produces the smallest root mean square error. Hence, the normal-Wishart prior was chosen as the prior of choice for our Bayesian Vector Autoregressive model. The forecast shows that there is a decline in the number of tourist visits, but inflation and exchange rates tend to reach a certain level, for instance, stabilized. The impulse response function shows that there were shocks in the beginning period before reaching zero.
Co-Authors AA Sudharmawan, AA ADE KUSUMA DEWI Ade Widyaningsih ALEXANDER HIRO WIBISONO ANAK AGUNG ISTRI AGUNG CANDRA ISWARI ANJAR ANGGRAINI AULIA ATIKA PRAWIBTA SUHARTO Aulia Wicaksono Chairun Nisa Chrisna Anzella Jacob COKORDA BAGUS YUDISTIRA DESAK AYU WIRI ASTITI Desak Putu Eka Nilakusmawati Dewa Ken Budiputra DIAN RAHMAN EKA N. KENCANA FITRI ANANDA DITA SARASWITA G. K. GANDHIADI GILANG BIMASAKTI ANDHIKA GUSTI AYU PUTU YULIANDARI HERLINA HIDAYATI HIRZI FIRDAUSI I GEDE DICKY ARYA BRAMANTA I GEDE GANA ARIAWAN I GEDE MAHA HENDRA PRATAMA I Gusti Ayu Made Srinadi I GUSTI AYU MEIGAYONI LESTARI I Ketut Darmana I KETUT PUTRA ADNYANA I KOMANG GDE SUKARSA I MADE BUDIANTARA PUTRA I MADE PRABA ESHA SUKSEMAWAN I Nyoman Sama I Nyoman Widana I Putu Eka Nila Kencana I PUTU GEDE DIAN GERRY SUWEDAYANA I Wayan Suirta IRENE MAYLINDA PANGARIBUAN JUITA HARYATI SIDADOLOG JULIANTARI JULIANTARI KADEK DITA SUGIARI Kartika Sari KASTIN DWILEN PONG SUMAE Ketut Jayanegara KHOSYI RUKITO KOMANG CANDRA IVAN Komang Dharmawan KOMANG KOKOM SUCAHYATI DEWI P Luh Devi Maharani Mecker LUH GEDE UDAYANI LUH HENA TERECIA WISMAWAN PUTRI LUH PUTU ARI DEWIYANTI LUH PUTU IDA HARINI MADE NITA DWI SAWITRI MADE NONIK PRAMESTI KARANA Made Susilawati MAHMUDATUL AQIBAH Marcellina Layata Margaretha Ratih Dyah Novitasari MIRA AYU NOVITA SARI Mulyani, Luh Sukma NATASYA WIDIA PUTRI NI KADEK JULIARINI Ni Kadek Trisnawati NI KADEK YUNI DEWIANTARI Ni Ketut Linda Aryani Ni Ketut Tari Tastrawati NI KOMANG DEBY ARIANI Ni Luh Putu Ayu Fitriani Ni Luh Putu Suciptawati Ni Made Asih NI MADE LASTI LISPANI NI MADE RARA KESWARI Ni Made Sri Wahyuni NI MADE SURYA JAYANTI NI PUTU AYU DEWI CAHYANTARI NI PUTU DEVIYANTI Ni Putu Manik Maharani NI PUTU MEILING UTAMI NI PUTU MIRAH SRI WAHYUNI NI PUTU NIA IRFAGUTAMI NI PUTU SRI YULI ARTINI NI PUTU WIDYA ISWARI DEWI NI PUTU YULIKA TRISNA WIJAYANTI NI WAYAN DIAH SIHMAWATI Ni Wayan Merry Nirmala Yani NI WAYAN UCHI YUSHI ARI SUDINA NOVIAN ENDI GUNAWAN NUR FAIZA NURMA ALIYUWANINGSIH NYOMAN KRISHNA PRATIWI DANGIN PUTU AMANDA SETIAWANI PUTU EKA ARIWIJAYANTHI PUTU GDE BUDHA WIRYADANA RAMADHAN LENGGU RAMLI RATNA SARI WIDIASTUTI RENALDO EVIPANIA RENOVAR JOJOR DELIMA SIMANULLANG SITI RAHAYU NINGSIH Stefani Putri Wulandari TJOK GDE SAHITYAHUTTI RANANGGA Tjokorda Bagus Oka TRISNA RAMADHAN ULYATIL AENI VINSENTIA REVICA BELLA ROSSARY WILDAN FATTURAHMAN MUJTABA WIMAS ASTARI YUDA