DEVELOPMENT OF NONPARAMETRIC PATH FUNCTION USING HYBRID TRUNCATED SPLINE AND KERNEL FOR MODELING WASTE-TO-ECONOMIC VALUE BEHAVIOR

  • Usriatur Rohma Department of Statistics, Faculty of Mathematics and Natural Science, University of Brawijaya, Indonesia https://orcid.org/0009-0003-4579-9530
  • Adji Achmad Rinaldo Fernandes Department of Statistics, Faculty of Mathematics and Natural Science, University of Brawijaya, Indonesia https://orcid.org/0000-0002-5957-6528
  • Suci Astutik Department of Statistics, Faculty of Mathematics and Natural Science, University of Brawijaya, Indonesia https://orcid.org/0000-0002-2776-2350
  • Solimun Solimun Department of Statistics, Faculty of Mathematics and Natural Science, University of Brawijaya, Indonesia https://orcid.org/0000-0003-4510-1932
DOI: https://doi.org/10.30598/barekengvol19iss1pp331-344
Keywords: Nonparametric Path Analysis, Truncated Spline, Kernel, Jackknife Resampling, Behavior to Turn Waste into Economic Value

Abstract

Waste management remains a challenge, including in Batu City, East Java, Indonesia. Rapid population growth and economic activities in the city have resulted in a substantial increase in waste volume. One of the key factors in solving waste problems is the mindset of the community towards waste management. The application of statistical analysis methods can be an effective approach to solving problems related to waste management from an economic point of view. Nonparametric path analysis is a statistical method that does not rely on the assumption that the curve is known. Nonparametric path analysis is performed if the data does not fulfill the linearity assumption.  This study aims to determine the best nonparametric path function with a hybrid truncated spline and kernel approach among EV values of 0.5; 0.8; and 1. In addition, this study also aims to test the significance of the best path function obtained. The data used in this study are timer data obtained from the Featured Basic Research Grant. The results showed that the best model of hybrid truncated spline and kernel nonparametric path analysis is a hybrid model of truncated spline nonparametric path of linear polynomial degree 1 knot and kernel triangle nonparametric path at EV 0.5. In addition, the significance of the best nonparametric truncated spline and kernel hybrid path function estimation using jackknife resampling shows that all exogenous variables have a significant effect on endogenous variables as evidenced by a p-value smaller than (0.05).

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Published
2025-01-13
How to Cite
[1]
U. Rohma, A. A. R. Fernandes, S. Astutik, and S. Solimun, “DEVELOPMENT OF NONPARAMETRIC PATH FUNCTION USING HYBRID TRUNCATED SPLINE AND KERNEL FOR MODELING WASTE-TO-ECONOMIC VALUE BEHAVIOR”, BAREKENG: J. Math. & App., vol. 19, no. 1, pp. 331-344, Jan. 2025.
Issue
Vol 19 No 1 (2025): BAREKENG: Journal of Mathematics and Its Application
Section
Articles

Copyright (c) 2025 Usriatur Rohma, Adji Achmad Rinaldo Fernandes, Suci Astutik, Solimun Solimun

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