Development of Semiparametric Truncated Spline Logistic Path Analysis
Logistic path analysis extends logistic regression by incorporating intervening variables, addressing the limitations of linearity assumptions through nonparametric models like spline regression. However, this study develops a semiparametric truncated spline logistic path analysis to accommodate lin...
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| Format: | Article |
| Language: | English |
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Mathematics Department UIN Maulana Malik Ibrahim Malang
2025-03-01
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| Series: | Cauchy: Jurnal Matematika Murni dan Aplikasi |
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| Online Access: | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/29979 |
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| author | Sasi Wilujeng Sri Rejeki Solimun Solimun Nurjannah Nurjannah Shalsa Amalia Yulianto Muhammad Ohid Ullah |
| author_facet | Sasi Wilujeng Sri Rejeki Solimun Solimun Nurjannah Nurjannah Shalsa Amalia Yulianto Muhammad Ohid Ullah |
| author_sort | Sasi Wilujeng Sri Rejeki |
| collection | DOAJ |
| description | Logistic path analysis extends logistic regression by incorporating intervening variables, addressing the limitations of linearity assumptions through nonparametric models like spline regression. However, this study develops a semiparametric truncated spline logistic path analysis to accommodate linear and nonlinear relationships, considering direct and indirect effects of intervening variables. The model is applied to analyze the impact of price volatility and human resource quality on farmer welfare, with farmer productivity as an intervening variable. It assumes a nonlinear relationship between price volatility and productivity/welfare, while other relationships are linear. This development was applied to secondary data collected through questionnaires from farmer group members in Bali Province, which were analyzed using a semiparametric truncated spline logistic path model. Optimal knots were determined using the lowest GCV value. The results show that the model effectively captures changes in data patterns, providing robust parameter estimates. Hypothesis testing highlights significant differences in the effectiveness of linear and nonlinear relationships. The use of truncated splines offers critical insights into variable interactions and enhances model reliability, making it a valuable tool for analyzing complex agricultural systems and informing policies to improve farmer welfare and productivity. |
| format | Article |
| id | doaj-art-cd4b32eaf3664a32be9b67cd19bec935 |
| institution | DOAJ |
| issn | 2086-0382 2477-3344 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Mathematics Department UIN Maulana Malik Ibrahim Malang |
| record_format | Article |
| series | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| spelling | doaj-art-cd4b32eaf3664a32be9b67cd19bec9352025-08-20T03:11:51ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442025-03-0110125026210.18860/cauchy.v10i1.299798657Development of Semiparametric Truncated Spline Logistic Path AnalysisSasi Wilujeng Sri Rejeki0Solimun Solimun1Nurjannah Nurjannah2Shalsa Amalia Yulianto3Muhammad Ohid Ullah4Brawijaya UniversityBraijaya UniversityBrawijaya UniversityBrawijaya UniversityDepartment of Statistics, Shahjalal University of Science and Technology Sylhet, BangladeshLogistic path analysis extends logistic regression by incorporating intervening variables, addressing the limitations of linearity assumptions through nonparametric models like spline regression. However, this study develops a semiparametric truncated spline logistic path analysis to accommodate linear and nonlinear relationships, considering direct and indirect effects of intervening variables. The model is applied to analyze the impact of price volatility and human resource quality on farmer welfare, with farmer productivity as an intervening variable. It assumes a nonlinear relationship between price volatility and productivity/welfare, while other relationships are linear. This development was applied to secondary data collected through questionnaires from farmer group members in Bali Province, which were analyzed using a semiparametric truncated spline logistic path model. Optimal knots were determined using the lowest GCV value. The results show that the model effectively captures changes in data patterns, providing robust parameter estimates. Hypothesis testing highlights significant differences in the effectiveness of linear and nonlinear relationships. The use of truncated splines offers critical insights into variable interactions and enhances model reliability, making it a valuable tool for analyzing complex agricultural systems and informing policies to improve farmer welfare and productivity.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/29979farmer inclusivenesshuman resource development in agricultureagricultural price volatilitysemiparametric logistic path analysistruncated spline analysis |
| spellingShingle | Sasi Wilujeng Sri Rejeki Solimun Solimun Nurjannah Nurjannah Shalsa Amalia Yulianto Muhammad Ohid Ullah Development of Semiparametric Truncated Spline Logistic Path Analysis Cauchy: Jurnal Matematika Murni dan Aplikasi farmer inclusiveness human resource development in agriculture agricultural price volatility semiparametric logistic path analysis truncated spline analysis |
| title | Development of Semiparametric Truncated Spline Logistic Path Analysis |
| title_full | Development of Semiparametric Truncated Spline Logistic Path Analysis |
| title_fullStr | Development of Semiparametric Truncated Spline Logistic Path Analysis |
| title_full_unstemmed | Development of Semiparametric Truncated Spline Logistic Path Analysis |
| title_short | Development of Semiparametric Truncated Spline Logistic Path Analysis |
| title_sort | development of semiparametric truncated spline logistic path analysis |
| topic | farmer inclusiveness human resource development in agriculture agricultural price volatility semiparametric logistic path analysis truncated spline analysis |
| url | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/29979 |
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