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Nonparametric Path Modeling with Double Resampling for Waste Economic Value Utilization: Simulation-Based Performance Comparison Hidayat, Kamelia; Fernandes, Adji Achmad Rinaldo; Iriany, Atiek; Solimun, Solimun; Hidayatulloh, Moh. Zhafran; Junianto, Fachira Haneinanda
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i2.37218

Abstract

Waste generation exceeding landfill capacity highlights the urgency of realizing its economic value. This study analyzes the effect of Quality of Facilities and Infrastructure (X1) and Use of Waste Banks (X2) on Waste Management-Based 3R (Y1) and Waste Economic Value Utilization (Y2) using a truncated spline nonparametric path model. This study evaluates the performance of a nonparametric path analysis model based on truncated spline combined with a double resampling. Data were collected using a Likert scale questionnaire on community perceptions of waste’s economic benefits in Batu City. Simulation results show that the Jackknife-Bootstrap method achieves the lowest average bias (0.058), outperforming single resampling approaches such as Single-Bootstrap (0.178) and Single-Jackknife (0.176). Empirical findings indicate that improvements in the Quality of Facilities and Infrastructure  (X1) and Waste Bank Use (X2) significantly enhance Waste Management Based 3R (Y1) and Utilization of Waste Economic Value (Y2). The truncated spline model reveals a saturation effect, where the marginal benefits of X1 and X2 decrease beyond a threshold. Furthermore, Y1 positively affects Y2, emphasizing the importance of efficient waste management in enhancing economic value. The results support policies promoting balanced infrastructure development, community empowerment, and institutional innovation for sustainable circular economy implementation.
Development of Multigroup Structural Equation Modeling on Structural and Measurement Models For Waste Management Behavior Patterns Khairani, Aldianur; Solimun, Solimun; Fernandes, Adji Achmad Rinaldo; Junianto, Fachira Haneinanda; Khairina, Nadia
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i2.34997

Abstract

This research aims to develop multigroup Structural Equation Modeling (SEM) on structural and measurement models to analyze waste management behavior patterns in Batu City. Secondary data were used from 120 respondents who were grouped into two: Group 1 (away from tourism) and Group 2 (near tourism). Latent variables include environmental quality, waste bank utilization, awareness of the use of 3R, and economic benefits from waste. The analysis was carried out by validity, reliability, linearity (Ramsey RESET), and multigroup SEM. The validity and reliability results showed that all indicators met the criteria (Corrected Item Total Correlation 0.3; Cronbach's Alpha 0.6). The linearity test proves that the relationship between variables is linear. Measurement models using formative indicators showed significant contributions, such as environmental maintenance (Group 1 coefficient: 0.369; Group 2: 0.518) and reuse effectiveness (Group 1 coefficient: 0.555; Group 2: 0.590). In the structural model, environmental quality had a stronger direct effect on 3R awareness in Group 2 (near tourism; coefficient: 0.432), while the use of waste banks had a more effect on Group 1 (away from tourism; coefficient: 0.414). The indirect effects through 3R awareness were also significant, with a total determination coefficient of 0.732, suggesting the model was able to explain 73.2% of the data variance. This study highlights the importance of a location-based approach in waste management policies, particularly the optimization of waste banks in areas far from tourism (Group 1) and the increase of 3R awareness in areas near tourism (Group 2).