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All Journal Media Statistika SAINS DAN MATEMATIKA JURNAL SISTEM INFORMASI BISNIS Jurnal Gaussian Jurnal Transportasi Al-Ahwal: Jurnal Hukum Keluarga Islam JOIV : International Journal on Informatics Visualization Kinetik: Game Technology, Information System, Computer Network, Computing, Electronics, and Control Jurnal Teknovasi : Jurnal Teknik dan Inovasi Mesin Otomotif, Komputer, Industri dan Elektronika Jurnal el-Qanuniy: Jurnal Ilmu-Ilmu Kesyariahan dan Pranata Sosial Al-Qadha: Jurnal Hukum Islam dan Perundang-Undangan Al-Manhaj: Jurnal Hukum dan Pranata Sosial Islam Infotek : Jurnal Informatika dan Teknologi Journal of Islamic Law STRATEGY : Jurnal Inovasi Strategi dan Model Pembelajaran El-Izdiwaj: Indonesian Journal of Civil and Islamic Family Law Syarah: Jurnal Hukum Islam dan Ekonomi Yurisprudentia: Jurnal Hukum Ekonomi Jurnal Sultan : Riset Hukum Tata Negara Jurnal Fakta Hukum (JFH) Al-Zayn: Jurnal Ilmu Sosial & Hukum El-Sirry: Jurnal Hukum Islam dan Sosial Indonesian Journal of Humanities and Social Sciences
Mustafid Mustafid
Departemen Statistika, Fakultas Sains Dan Matematika, Universitas Diponegoro
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REGRESI ROBUST ESTIMASI-M UNTUK PEMODELAN TINGKAT PENGANGGURAN TERBUKA (TPT) DI PROVINSI JAWA TENGAH octa choerunnisa; Mustafid Mustafid; Sudarno Sudarno
Jurnal Gaussian Vol 15, No 1 (2026): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/j.gauss.15.1.%p

Abstract

Regression analysis can be used to overcome the outlier problem with robust regression. The M-estimation robust regression method is an estimation approach that is the simplest computationally and theoretically. The purpose of using the robust regression method is because there is an outlier problem in the data. This research will create a model on open unemployment rate data in Central Java in 2022 which involves variables including average length of schooling, population, number of poor people, minimum wage, and per capita expenditure. Based on the Ordinary Least Squares (OLS) regression equation, it shows that there is a violations of assumptions and outlier data is detected. So it is necessary to carry out robust regression to overcome the outlier problem. In the test carried out using M-estimation robust regression, the best robust regression model was obtained  = -5,899 + 0,0192 X3+ 0,0000024 X4+0,00036 X5. The M-estimation robust regression model can be concluded that total variation in the open unemployment rate in Central Java in 2022 is explained by the number of poor people, minimum wages, and per capita expenditure by 31.39%, and the MSE value is 2.143382.
Co-Authors Abdul Hoyyi Abdul Munir, Akmal Adestya Ayu Maharani Adi Wahyu Romariardi Adian Fatchur Rochim Agatha, Insani Tiara Agil Setyo Anggoro Agung Budiwirawan Agung Budiwirawan Agus Rusgiyono Agus Setyawan Agus Subagio Ahmad Lubis Ghozali Akbarizan Akbarizan Al Bajuri, Azzuhri Alan Prahutama Alfahari Anggoro, Alfahari Alfrianus Papuas Alifia Hana Linda Rachmawati Alifia Hanifah Mumtaz Amrina Rosyada Anak Agung Gede Sugianthara Anastasia Arinda Andi Gunawan Anisa, Darania Anwar, Alfiansyah Arief Rachman Hakim Aris Sugiharto Aulia Desy Deria Ayudya Tri Wahyuningtyas Bambang Haryadi Bambang Riyanto Bambang Riyanto Basuki Rahmat Masdi Siduppa Bayu Surarso Beta Noranita Budi Warsito Catur Edi Widodo Cynthia Damayanti Daniel Alfa Puryono Deby Fakhriyana Di Asih I Maruddani Diah Safitri Diandra Zakeshia Tiara Kannitha Djalal Er Riyanto Dwi Harti Pujiana Dwi Ispriyanti Dwi Putri Handayani Dwinta Rahmallah Pulukadang, Dwinta Rahmallah Dyna Marisa Khairina Edi Widodo, Edi Eko Adi Sarwoko Faiz Algifari, Muhammad Fenansia Clara Hana Bangun Ferry Jie, Ferry Hasbi Yasin Hosen I Gusti Ngurah Antaryama Ibnu Widiyanto Ibrahim, Muhammad Rivani Imam Nur Sholihin Irfan Ismail Sungkar ISNUGROHO, AWING Jatmiko Endro Suseno Jayawarsa, A.A. Ketut Juwanda, Farikhin Kemas Muhammad Gemilang Kholidah Kholidah, Kholidah Leni Pamularsih Lulus Darwati, Lulus Mardona Siregar Meilia Kusumawardani, Meilia Moch. Abdul Mukid Muhammad Akhir Siregar Muhammad Nugroho Karim Amrulllah Muhammad Nur Mustafa, Mustafa Nathasa Erdya Kristy Nesari Nesari Nida Adelia Nova Delvia Nurul Fitria Fitria Rizani octa choerunnisa Oky Dwi Nurhayati Parlika, Rizky Pipin Widyaningsih Prihati Prihati Puspita Ayu Utami Puspita Kartikasari Putra Halomoan Hsb Putra, Firman Surya Qurtubi, Achmad Napis R Rizal Isnanto Radian Lukman Rangkuti, Nuraini Ratna Kencana Putri Redemtus Heru Tjahjana Rezky Dwi Hanifa Ririn Sulpiani Rita Rahmawati Rita Rahmawati Rizaldy Khair Rosmiati Rosmiati Rukun Santoso Satriyo Adhy Silvia Julietty Sinaga Sinta Tridian Galih Siregar, Mardona Sobhan, Sobhan Sri Mulyani Stevanus Sandy Prasetyo Sudarno Sudarno Sudarno Sudarno Sugito Sugito Sulastri Sulastri Sumper Mulia Harahap, Sumper Mulia Suparti Suparti Supriyono Supriyono Suryono Suryono Syamsul Arifin Tarno Tarno Tatik Widiharih Tri Ernayanti Triastuti Wuryandari U.S, Supardi Udi Harmoko Windy Rohalidyawati Wulandari, Heni Dwi Yudie Irawan Yundari, Yundari Zega, Nesty Novita Sari