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All Journal Media Statistika Jurnal Gaussian
Sudarno Sudarno
Departemen Statistika, Fakultas Sains Dan Matematika, Universitas Diponegoro
Decision Sciences, Operations Research & Management Other

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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 Adestya Ayu Maharani Affan Hanafaie Agus Rusgiyono Ahmad Badruttamam Alan Prahutama Alfiya Nurwidi Hastuti Alifia Hanifah Mumtaz Aprilia Sekar Khinanti Asri Lutfia Silmi Bimbi Ardhana Rizky Bramadita Kunni Fauziyyah Budi Warsito Chrisentia Widya Ardianti Dea Manuella Widodo Deanira Qinanty Alamsyah Di Asih I Maruddani Diah Safitri Dwi Ispriyanti Dwi Nooriqfina Eko Siswanto Enggartya Andini Eri Setiani Farhah Izzatul Jannah Febriana Sulistya Pratiwi Gina Wangsih Hasbi Yasin Helmi Panjaitan Inarotul Amani Rizki Ananda Lulu Maulatus Saidah Masithoh Yessi Rochayani Mochammad Iffan Zulfiandri Mustafid Mustafid Nathasa Erdya Kristy octa choerunnisa Pualam Wahyu Ratiasasadara Puspita Kartikasari Rahma Aulia Ar Raniri Reno Penggalih Surya Wardhani Rita Rahmawati Rizka Nur Faizah Rudi Saputro Setyo Purnomo Rukun Santoso Salsabila Syifa Binsanno Sang Nur Cahya Widiutama Silvy ‘Aina Salsabila Sintia Rizki Aprilianti Sola Fide Sugito Sugito Suparti Suparti Syavhana Yusricha Zuhri Putri Tarno Tarno Tatik Widiharih Triastuti Wuryandari Tsara Firda Nabila Viona Alliza Diandra Putri Widi Rahayu Yuciana Wilandari