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Journal : International Journal of Advances in Intelligent Informatics

Computation of spatial error model with matrix exponential spatial specification approach Marsono, Marsono; Setiawan, Setiawan; Kuswanto, Heri
International Journal of Advances in Intelligent Informatics Vol 10, No 3 (2024): August 2024
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26555/ijain.v10i3.1506

Abstract

In spatial regression analysis, we not only consider the internal factors of a location, but also take into account the spatial factors that may affect the relationship. The model of spatial dependence between regions caused by unknown factors or errors is known as the Spatial Error Model (SEM). In its application to large datasets, SEM suffers from several problems in parameter estimation and computational time. One of the methods to solve this problem is to use Matrix Exponential Spatial Specification (MESS). The purpose of this research is to find another alternative to modeling data containing spatial autocorrelation errors as a substitute for SEM. MESS(0,1) is named as an alternative model to SEM. With the advantage of MESS features, the MESS(0,1) model is expected to be faster in analytics and computation compared to SEM when using Maximum Likelihood Estimation (MLE). The purpose of this study was to evaluate the effectiveness of the MESS (0,1) model as an alternative to SEM using MLE based on simulation studies and real data analysis. Simulation studies were conducted by generating data from small samples to large samples and then estimating parameters with the MESS(0,1) and SEM models. Then we compared the performance of the two models with the time used during estimation and the root mean square error (RMSE). In addition, it is applied to real data, namely Gross Regional Domestic Product (GRDP) data. The real data used is the GRDP of the construction category on Java Island in 2021. This is in line with the massive infrastructure development as a government program. The independent variables used and considered influential on the GRDP of the construction sector are domestic investment, foreign investment, labor, and wages. Based on the simulation study results, the computation time for estimating the parameters of MESS(0,1) is faster than the SEM model. In addition, in terms of accuracy, the RMSE indicator shows MESS(0,1) is more accurate than the SEM. In addition, the MESS(0,1) and SEM models were applied to the real data. The modeling real data results show that all variables have a significant positive effect on GRDP in the construction category.
Co-Authors A., Sovian Abdul Qolik Abrori, M. Zaki Latif Achmad Abdul Lathif Achmad Romadin Achmad Syarifudin Ade Hermawan Ade Hermawan Adin Affandi, Lutfi Adnan, Irfan Maulana Afrizal Hendra Agus Afandi Agus Hermanto Agus Suyetno Agustina, Livianti Ali Ali Alit Supandi, I Nyoman Aliyya, Muhammad Fajar Alqodri, Febrianto Andi A. Andika, Beni Andina Dwi Paramita Andri Wijayanti Angga Prasetyo Anjarwati, Prasasti Pambayun Anwar, Sayit Aprizha Muhammad Fadhil Ardhiyanto, Firmansah Dwi Arianty, Erny Asmoro, Novky Asqolani, Asqolani Asy-Syamil, Sholahuddin Asyahri Hadi Nasyuha Axel Ramadhani Liemawan Pranoto Banurea, Chandra P Br Ginting, Tama Litna Brahm Ardhi Noviant Candra Setya, Sigit Chandra Suari, Ni Wayan Gita Danaputra, Radhitya Darmawan, Muh. Hilman Darmawati, Irma Demeianto, Bobby Didik Dwi Prasetya Didik Nurhadi Dimas Prasetia Doly Andrian Harahap Dwi Agus Sudjimat Eddy Mustono Edy, Duwi Leksono Effendi, Muhammad Idris Eko, Bambang Ersani, Erry Fadhilah Dwi Lailita Safitri Fajar Pratama Putra Fajar Sutejo, Muhammad Faqih, Muhammad Ridwan Fathia Alifia Tsabita Fidiah, Lailatul Ghifari, Ghazi Ahmad Hanifah Kurnia Ulfasari Hasim Asyari Hendy Yuniarto, Hendy Hera Wasiati Herbima, Bimfi Heri Budi Santoso Heri Kuswanto Herianto Herianto Hidayat, Rahmat Taufik Hotnier Sipahutar, Hotnier Ibrahim Bafadal Ida Bagus Komang Sindu Putra Idrus, Muhamad Amril Indayah, Indayah Indrawati, Iin Irdana, Nuryuda Isfarudi Januarizki, Mochamad Rafli Juharyanto Juharyanto Junjunan, Soleh Fajar Kalpikotomo, Bayu Kamalia Jaya, Praptika Kemalsyah, Kemalsyah Kusuma, Hanif Aulia Kusumadewi, Anggitya Berliana Lucia Nugraheni Harnaningrum Luwis, Nico M. Alfan Anshori Maftuchin Romlie Malik, Alwi Maulana Matdoan, M. Y. Metta Suliani Mizar, Alvian Mohammad Musthofa Al Ansyorie Monica, Elyana Frisca Mualimin Mualimin Muallim, Lucky Muamarah*, Hanik Susilawati Muamarah, Hanik Susilawati Muhammad Aris Ichwanto Muhammad Ridwan Mulyanto Mulyanto Mustofa Kamal Mustono, Eddy Mustopa Kamal Nabila Salsabila NAFISAH ITSNA HASNI Ni Komang Sutriyanti Nugroho, Anung Nur Muflihah, Syifa Nurlita Adliyani Nuryakin, Mokhamad P. Sembiring, Alek Pamuji, Pipit Agung Pangestu, Satria Perangin Angin, Moch Iswan Perangin-angin, Moch. Iswan Perkasa, Gigih Prasetya, Herawan Budi Prasetyowati, Agustin Pratama, Andra Wisnu Purnomo Purnomo Purwatiningsih, Rini Putri, Anggie Wiyan Putri, Emalia Rachmadini, Erika Raedy Anwar Subiantoro Rahmadita, Salsabilla Raihan Fadhilla Kurnia Ramadhan, Hilal Adden Ramdhan, Nur Muhammad Rasyad, Muhammad Luthfi Ratu Nurul Qomariah Renytasari, Fitria Resandy, Meyta Ayu Riana Nurmalasari Rini, Agustina Mardika Risky Rahmat Fadhillah Risnandar, Risnandar Rukua, A. W. Ruyat, Rayat Ruyat, Yayat Ryohandoko, Harsono S., Waras Didik Safira, D. A. Sakti P. Nababan Santosa, Amalia Martha Santoso, Ismawardi Septiari Dewi, Putu Ayu Setiawan Setiawan Setiohadi, Tri Setyanjana, Andre Yoan Slamet Rohaedi, Slamet Solikhin, Dede Sonata, Fifin - Sonny Ariefianto Sriyanti, Agus Suardika, I Komang Suastika, I Made Sudarmanto Sudarmanto, Sudarmanto Suhandano Suhandano Sukisworo, Fetri Sukmanasari, Putri Swastika Sukmasari, Titin supria, timan Supriatun, Evi Suriaslan, A. S. Suryo, Adi Syahfitri, Lira Syahputri, Astri Talakua, A. H. Taman, Ni Komang Teguh Binardi Towaf Totok Irawan Triono, Alfiansyah Putra Pertama Tuwoso Tyas Rukmi Ken Hutami, Tyas Rukmi Veliandina Chivan Naftalia Wahyu, Narenda Galex Wahyutomo, Satrio waziroh, iro Widiyanti Widiyanti, Widiyanti Wiguna, Denda Wijatmika, Wijatmika Wirawan, Ida Bagus Dharma Putra Witraguna, Kadek Yudista Yani Nurita Purnawanti Yasser Arafat Yayi Febdia Pradani Yetri, Milfa Yoan Setyanjana, Andre Yogaswara, Y. H Yoto Yoto, Yoto Zaka Lawang, Robert Markus Zulfadhli, M.