Modeling Spatial Autoregressive Moving Average on the Human Development Index

The Spatial Autoregressive Moving Average (SARMA) model is a regression model developed from the classical regression model. The classical regression model produces inaccurate conclusions when used to model spatial data because the assumption of independent errors is not met. The SARMA model has advantages in modeling spatial data that has a spatial effect on the lag of the dependent variable and error. This study aims to obtain a SARMA model and factors that significantly influence the Human Development Index (HDI) of districts and cities in Kalimantan in 2022 based on the SARMA model. The spatial weighting used in SARMA modeling is rook contiguity. The results of the study show that the SARMA model can model the HDI of districts and cities in Kalimantan. The factors that significantly influence the HDI of districts and cities in Kalimantan are the poverty rate, the open unemployment rate, and the number of hospital facilities.

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Publication Details

Journal
Jurnal Matematika Statistika dan Komputasi
Published
2025-05-14
DOI
https://doi.org/10.20956/j.v21i3.36392
Primary Topic
Land Use and Ecosystem Services
Type
article
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article

Modeling Spatial Autoregressive Moving Average on the Human Development Index

Rito Goejantoro, M. Fathurahman, Ardiman Wiranata
Jurnal Matematika Statistika dan Komputasi
Land Use and Ecosystem Services
article

Modeling Spatial Autoregressive Moving Average on the Human Development Index

Rito Goejantoro, M. Fathurahman, Ardiman Wiranata
article en

Abstract

The Spatial Autoregressive Moving Average (SARMA) model is a regression model developed from the classical regression model. The classical regression model produces inaccurate conclusions when used to model spatial data because the assumption of independent errors is not met. The SARMA model has advantages in modeling spatial data that has a spatial effect on the lag of the dependent variable and error. This study aims to obtain a SARMA model and factors that significantly influence the Human Development Index (HDI) of districts and cities in Kalimantan in 2022 based on the SARMA model. The spatial weighting used in SARMA modeling is rook contiguity. The results of the study show that the SARMA model can model the HDI of districts and cities in Kalimantan. The factors that significantly influence the HDI of districts and cities in Kalimantan are the poverty rate, the open unemployment rate, and the number of hospital facilities.

Jurnal Matematika Statistika dan KomputasiVol. 21(3)
Mulawarman University (ID)
Openalex Percentile: Top 88%
Land Use and Ecosystem Services
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Modeling Spatial Autoregressive Moving Average on the Human Development Index — Rito Goejantoro, M. Fathurahman, et al. · Jurnal Matematika Statistika dan Komputasi (2025) | TGRS Research Map | TGRS