Geographically weighted generalized poisson regression model with the best kernel function in the case of the number of postpartum maternal mortality in east java

This study proposes a Geographically Weighted Generalized Poisson Regression (GWGPR) model with the best kernel function to obtain a model of the number of postpartum maternal mortality in East Java Province in 2020 and determine the factors that affect the number of maternal postpartum mortality in...

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Main Authors: Sischa Wahyuning Tyas, Gunardi, Lila Aryani Puspitasari
Format: Article
Language:English
Published: Elsevier 2023-01-01
Series:MethodsX
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2215016123000079
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author Sischa Wahyuning Tyas
Gunardi
Lila Aryani Puspitasari
author_facet Sischa Wahyuning Tyas
Gunardi
Lila Aryani Puspitasari
author_sort Sischa Wahyuning Tyas
collection DOAJ
description This study proposes a Geographically Weighted Generalized Poisson Regression (GWGPR) model with the best kernel function to obtain a model of the number of postpartum maternal mortality in East Java Province in 2020 and determine the factors that affect the number of maternal postpartum mortality in East Java in 2020. The kernel functions used in this study are fixed bisquare kernel, fixed tricube kernel, and adaptive bisquare kernel. Optimum bandwidth selection using the Cross-Validation (CV) method. The results obtained the best model is the GWGPR model with a fixed bisquare kernel because it produces the smallest AIC value of 194.92. Variables significantly affecting the number of maternal postpartum mortality in East Java in 2020 vary in each district/city where there are three regional groups. The percentage of pregnant women who had a pregnancy visit K1, the percentage of pregnant women who had a pregnancy visit K4, the percentage of households receiving cash assistance, and the ratio of hospitals and health centres have a significant effect on Kabupaten Blitar, Mojokerto, Gresik, Bangkalan, Blitar City, Mojokerto City, Surabaya City. While the five predictor variables together significantly affect districts/cities included in group 3, such as Ponorogo, Trenggalek, Tulungagung, Kediri, Malang, Lumajang, Jember, Banyuwangi, Bondowoso and so on. Some of the highlights of the proposed approach are: • Generalized Poisson regression model using the maximum likelihood estimation (MLE) method. • The kernel functions used in the Geographically Weighted Generalized Poisson Regression (GWGPR) model to determine bandwidth are fixed bisquare, fixed tricube, and adaptive bisquare kernel functions selected using the Cross Validation (CV) method. • The computation procedure is easy to implement.
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spelling doaj.art-c7f84f8ab25b480c808caebe951f4ed92023-06-24T05:16:58ZengElsevierMethodsX2215-01612023-01-0110102002Geographically weighted generalized poisson regression model with the best kernel function in the case of the number of postpartum maternal mortality in east javaSischa Wahyuning Tyas0 Gunardi1Lila Aryani Puspitasari2Corresponding author.; Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, IndonesiaThis study proposes a Geographically Weighted Generalized Poisson Regression (GWGPR) model with the best kernel function to obtain a model of the number of postpartum maternal mortality in East Java Province in 2020 and determine the factors that affect the number of maternal postpartum mortality in East Java in 2020. The kernel functions used in this study are fixed bisquare kernel, fixed tricube kernel, and adaptive bisquare kernel. Optimum bandwidth selection using the Cross-Validation (CV) method. The results obtained the best model is the GWGPR model with a fixed bisquare kernel because it produces the smallest AIC value of 194.92. Variables significantly affecting the number of maternal postpartum mortality in East Java in 2020 vary in each district/city where there are three regional groups. The percentage of pregnant women who had a pregnancy visit K1, the percentage of pregnant women who had a pregnancy visit K4, the percentage of households receiving cash assistance, and the ratio of hospitals and health centres have a significant effect on Kabupaten Blitar, Mojokerto, Gresik, Bangkalan, Blitar City, Mojokerto City, Surabaya City. While the five predictor variables together significantly affect districts/cities included in group 3, such as Ponorogo, Trenggalek, Tulungagung, Kediri, Malang, Lumajang, Jember, Banyuwangi, Bondowoso and so on. Some of the highlights of the proposed approach are: • Generalized Poisson regression model using the maximum likelihood estimation (MLE) method. • The kernel functions used in the Geographically Weighted Generalized Poisson Regression (GWGPR) model to determine bandwidth are fixed bisquare, fixed tricube, and adaptive bisquare kernel functions selected using the Cross Validation (CV) method. • The computation procedure is easy to implement.http://www.sciencedirect.com/science/article/pii/S2215016123000079Geographically Weighted Generalized Poisson Regression (GWGPR)
spellingShingle Sischa Wahyuning Tyas
Gunardi
Lila Aryani Puspitasari
Geographically weighted generalized poisson regression model with the best kernel function in the case of the number of postpartum maternal mortality in east java
MethodsX
Geographically Weighted Generalized Poisson Regression (GWGPR)
title Geographically weighted generalized poisson regression model with the best kernel function in the case of the number of postpartum maternal mortality in east java
title_full Geographically weighted generalized poisson regression model with the best kernel function in the case of the number of postpartum maternal mortality in east java
title_fullStr Geographically weighted generalized poisson regression model with the best kernel function in the case of the number of postpartum maternal mortality in east java
title_full_unstemmed Geographically weighted generalized poisson regression model with the best kernel function in the case of the number of postpartum maternal mortality in east java
title_short Geographically weighted generalized poisson regression model with the best kernel function in the case of the number of postpartum maternal mortality in east java
title_sort geographically weighted generalized poisson regression model with the best kernel function in the case of the number of postpartum maternal mortality in east java
topic Geographically Weighted Generalized Poisson Regression (GWGPR)
url http://www.sciencedirect.com/science/article/pii/S2215016123000079
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