Georaphically Weighted Ridge Regression Modelling on 2023 Poverty Indicators Data in the Provinces of West Kalimantan and Central Kalimantan

Regression analysis is a method to explain the relations between independent variables and a dependent variable. Linear regression analysis relies on certain assumptions, one of the assumption is homogeneity. However, there is a situation when the variance at each observation differs or called spatial heterogeneity.This issue can be solved using Geographically Weighted Regression (GWR), a statistical method that can be fixed spatial heterogeneity by adding a local weighted matrix, the result in GWR model is a local model for each observation point. However, GWR has a limitation, it cannot handle multicollinearity. Ridge regression is a method used to solved multicollinearity by adding a bias constant (λ). A GWR model that contains multicollinearity and fixed using ridge regression is known as Geographically Weighted Ridge Regression (GWRR).

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Publication Details

Journal
Integra Journal of Integrated Mathematics and Computer Science
Published
2024-11-13
DOI
https://doi.org/10.26554/integrajimcs.20241320
Primary Topic
Data Mining and Machine Learning Applications
Type
article
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article

Georaphically Weighted Ridge Regression Modelling on 2023 Poverty Indicators Data in the Provinces of West Kalimantan and Central Kalimantan

Mustofa Usman, Widiarti, Vitri Aprilla Handayani, Bernadhita Herindri Samodera Utami et al.
Integra Journal of Integrated Mathematics and Computer Science
Data Mining and Machine Learning Applications
article

Georaphically Weighted Ridge Regression Modelling on 2023 Poverty Indicators Data in the Provinces of West Kalimantan and Central Kalimantan

Mustofa Usman, Widiarti, Vitri Aprilla Handayani, Bernadhita Herindri Samodera Utami, Syarli Dita Anjani
article en

Abstract

Regression analysis is a method to explain the relations between independent variables and a dependent variable. Linear regression analysis relies on certain assumptions, one of the assumption is homogeneity. However, there is a situation when the variance at each observation differs or called spatial heterogeneity.This issue can be solved using Geographically Weighted Regression (GWR), a statistical method that can be fixed spatial heterogeneity by adding a local weighted matrix, the result in GWR model is a local model for each observation point. However, GWR has a limitation, it cannot handle multicollinearity. Ridge regression is a method used to solved multicollinearity by adding a bias constant (λ). A GWR model that contains multicollinearity and fixed using ridge regression is known as Geographically Weighted Ridge Regression (GWRR).

Integra Journal of Integrated Mathematics and Computer ScienceVol. 1(3)
Lampung University (ID), Universitas Riau Kepulauan (ID)
Openalex Percentile: Top 50%
Data Mining and Machine Learning Applications
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Georaphically Weighted Ridge Regression Modelling on 2023 Poverty Indicators Data in the Provinces of West Kalimantan and Central Kalimantan — Mustofa Usman, Widiarti, et al. · Integra Journal of Integrated Mathematics and Computer Science (2024) | TGRS Research Map | TGRS