A Combined Truncated Spline and Kernel Semiparametric Path Model Development

Semiparametric path analysis is a combination of parametric and nonparametric path analysis performed when the linearity assumption in some relationships is not met. In this study, the development of semiparametric path function estimation was carried out by combining two truncated spline and kernel...

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Main Authors: Usriatur Rohma, Adji Achmad Rinaldo Fernandes, Suci Astutik, Solimun Solimun
Format: Article
Language:English
Published: Mathematics Department UIN Maulana Malik Ibrahim Malang 2025-03-01
Series:Cauchy: Jurnal Matematika Murni dan Aplikasi
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Online Access:https://ejournal.uin-malang.ac.id/index.php/Math/article/view/29849
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author Usriatur Rohma
Adji Achmad Rinaldo Fernandes
Suci Astutik
Solimun Solimun
author_facet Usriatur Rohma
Adji Achmad Rinaldo Fernandes
Suci Astutik
Solimun Solimun
author_sort Usriatur Rohma
collection DOAJ
description Semiparametric path analysis is a combination of parametric and nonparametric path analysis performed when the linearity assumption in some relationships is not met. In this study, the development of semiparametric path function estimation was carried out by combining two truncated spline and kernel approaches. In addition, the purpose of this study is to determine the significance of function estimation using t-test statistics at the jackknife resampling stage. This research was conducted in 135 Junrejo sub-districts of Batu district.  The results showed that the development of a combined semiparametric path function estimation of truncated spline and kernel with weighted least square allows a more flexible and accurate estimation in modeling waste management behavior patterns. 2. The significance of the best truncated spline nonparametric path estimation in the model of the effect of Environmental Quality and the Use of Waste Banks on the Economic Benefits of Waste through the Use of the 3R Principles using t test statistics at the jackknife resampling stage shows that all exogenous variables have a significant effect on endogenous variables.
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publishDate 2025-03-01
publisher Mathematics Department UIN Maulana Malik Ibrahim Malang
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series Cauchy: Jurnal Matematika Murni dan Aplikasi
spelling doaj-art-6bad0cffd8884b8fa453cb34ee7973672025-08-20T02:13:45ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442025-03-01101829510.18860/cauchy.v10i1.298498640A Combined Truncated Spline and Kernel Semiparametric Path Model DevelopmentUsriatur Rohma0Adji Achmad Rinaldo Fernandes1Suci Astutik2Solimun Solimun3Brawijaya UniversityBrawijaya UniversityBrawijaya UniversityBrawijaya UniversitySemiparametric path analysis is a combination of parametric and nonparametric path analysis performed when the linearity assumption in some relationships is not met. In this study, the development of semiparametric path function estimation was carried out by combining two truncated spline and kernel approaches. In addition, the purpose of this study is to determine the significance of function estimation using t-test statistics at the jackknife resampling stage. This research was conducted in 135 Junrejo sub-districts of Batu district.  The results showed that the development of a combined semiparametric path function estimation of truncated spline and kernel with weighted least square allows a more flexible and accurate estimation in modeling waste management behavior patterns. 2. The significance of the best truncated spline nonparametric path estimation in the model of the effect of Environmental Quality and the Use of Waste Banks on the Economic Benefits of Waste through the Use of the 3R Principles using t test statistics at the jackknife resampling stage shows that all exogenous variables have a significant effect on endogenous variables.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/29849semiparametric path analysistruncated splinekernelramsey reseteconomic benefits of waste
spellingShingle Usriatur Rohma
Adji Achmad Rinaldo Fernandes
Suci Astutik
Solimun Solimun
A Combined Truncated Spline and Kernel Semiparametric Path Model Development
Cauchy: Jurnal Matematika Murni dan Aplikasi
semiparametric path analysis
truncated spline
kernel
ramsey reset
economic benefits of waste
title A Combined Truncated Spline and Kernel Semiparametric Path Model Development
title_full A Combined Truncated Spline and Kernel Semiparametric Path Model Development
title_fullStr A Combined Truncated Spline and Kernel Semiparametric Path Model Development
title_full_unstemmed A Combined Truncated Spline and Kernel Semiparametric Path Model Development
title_short A Combined Truncated Spline and Kernel Semiparametric Path Model Development
title_sort combined truncated spline and kernel semiparametric path model development
topic semiparametric path analysis
truncated spline
kernel
ramsey reset
economic benefits of waste
url https://ejournal.uin-malang.ac.id/index.php/Math/article/view/29849
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