ANALYSIS OF PATH NONPARAMETRIC TRUNCATED SPLINE MAXIMUM CUBIC ORDER IN BANKING CREDIT OF RISK BEHAVIOR MODEL

  • Devi Veda Amanda Department of Statistics, Faculty of Mathematics & Natural Sciences, Universitas Brawijaya, Indonesia https://orcid.org/0009-0004-1227-0064
  • Atiek Iriany Department of Statistics, Faculty of Mathematics & Natural Sciences, Universitas Brawijaya, Indonesia https://orcid.org/0000-0002-3464-0925
  • Adji Achmad Rinaldo Fernandes Department of Statistics, Faculty of Mathematics & Natural Sciences, Universitas Brawijaya, Indonesia https://orcid.org/0000-0002-5957-6528
  • Solimun Solimun Department of Statistics, Faculty of Mathematics & Natural Sciences, Universitas Brawijaya, Indonesia https://orcid.org/0000-0003-4510-1932
Keywords: Jackknife, KPR Debtor Consumer, Nonparametric Path Analysis, Resampling, Truncated Spline

Abstract

Path analysis tests the relationship between variables through cause and effect. The assumption of linearity must be met before conducting further tests on path analysis. If the shape of the relationship is nonlinear and the shape of the curve is unknown, a nonparametric approach is used, one of which is a truncated spline. The purpose of this study is to estimate the function and obtain the best model on the nonparametric truncated spline path of linear, quadratic, and cubic orders with 1 and 2-knot points and determine the significance of the best function estimator in banking credit of risk behavior model through the jackknife resampling method. This study uses secondary data through questionnaires to KPR debtor consumers, as many as 100 respondents. Based on the results of the analysis, it is known that the best-truncated spline nonparametric path model is the quadratic order of 2 knots with a coefficient of determination of 85.50%; the significance of the best-truncated spline nonparametric path estimator shows that all exogenous variables have a significant effect on endogenous variables.

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Published
2024-10-14
How to Cite
[1]
D. Amanda, A. Iriany, A. Fernandes, and S. Solimun, “ANALYSIS OF PATH NONPARAMETRIC TRUNCATED SPLINE MAXIMUM CUBIC ORDER IN BANKING CREDIT OF RISK BEHAVIOR MODEL”, BAREKENG: J. Math. & App., vol. 18, no. 4, pp. 2639-2652, Oct. 2024.