ANALYSIS OF PATH NONPARAMETRIC TRUNCATED SPLINE MAXIMUM CUBIC ORDER IN BANKING CREDIT OF RISK BEHAVIOR MODEL
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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References
A. A. R. Fernandes, E. G. Erwinda, R. Hardianti, and L. H. Y. Arini, Metodologi Penelitian: Variabel Mining Berbasis Big Data Dalam Pemodelan Sistem Untuk Mengungkap Research Novelty. Malang: Brawijaya University Press, 2023.
R. S. Witte and J. S. Witte, Statistics. United States: John Wiley & Sons, 2017.
A. A. R. Fernandes and Solimun, Analisis Regresi dalam Pendekatan Fleksibel. Malang: Brawijaya University Press, 2021.
Solimun, A. A. R. Fernandes, and Nurjannah, Metode Statistika Multivariat Pemodelan Persamaan Struktural (SEM) Pendekatan WarpPLS. Malang: Brawijaya University Press, 2017.
M. P. Marwan, W. Konadi, S. P. Kamaruddin, and I. Sufi, Analisis Jalur dan Aplikasi SPSS Versi 25: Edisi Kedua. Medan: Merdeka Kreasi Group, 2023.
A. A. R. Fernandes, “Estimator Spline Dalam Regresi Nonparametrik Birespon Untuk Data Longitudinal Studi Kasus Pada Pasien Penderita Tb Paru Di Malang,” 9, Institut Teknologi Sepuluh Nopember Surbaya, Surabaya, 2016.
T. W. Utami, “Pemodelan Regresi Nonparametrik pada Data Longitudinal Berdasarkan Estimasi Polonomial Lokal Kernel,” Jurnal Statistika, vol. 5, pp. 602–610, 2014.
L. Sjofjan, “Prinsip Kehati-Hatian (Prudential Banking Principle) dalam Pembiayaan Syariah Sebagai Upaya Menjaga Tingkat Kesehatan Bank Syariah,” Pakuan Law Review, vol. 1, 2015.
E. C. L. Efendi, A. A. R. Fernandes, and M. B. T. Mitakda, Modeling of path nonparametric Truncated Spline linear, quadratic, and cubic in model on time paying bank credit. Mathematics and Statistics, 9, 947–957. 2021.
F. Ubaidillah, A. A. R. Fernandes, A. Iriany, N. W. S. Wardhani, and, S. Solimun, Truncated Spline Path Analysis Modeling on in Company X with the Government's Role as a Mediation Variable. Journal of Statistics Applications & Probability, 3, 781-794. 2022.
J. Golin, J. and P. Delhaise, The Bank Credit Analysis Handbook: A Guide for Analyst Bankers and Investor. John Wiley & Sons. 2015.
N. Adiasa, Pengaruh Pemahaman Peraturan Pajak Terhadap Kepatuhan Wajib Pajak dengan Moderating Preferensi Risiko. Accounting Analysis Journal, vol. 2, 2017.
A. A. R. Fernandes, B. Hutahayan, D. P. Kartikasari, “Evaluasi dan Pengembangan Pengukuran Risiko (Risk Metric) dan Model Risiko (Risk Model) Berbasis pemodelan Statistika dengan Fleksibilitas Tinggi (unpublished),” 2022.
B. Lestari and I.N. Budiantara, Spline estimator and its asymptotic properties in multiresponse nonparametric regression model. Songklanakarin Journal of Science & Technology, 42(3). 2020.
A. A. R. Fernandes, I. N. Budiantara, B. W. Otok, and Suhartono, “Reproducing Kernel Hilbert space for penalized regression multi-predictors: Case in longitudinal data,” International Journal of Mathematical Analysis, vol. 8, pp. 1951–1961, 2014.
A. A. R. Fernandes and Solimun, Analisis Regresi dalam Pendekatan Fleksibel. Malang: Brawijaya University Press, 2021.
S. Maunah, “Estimasi Skewness (Kemiringan) dengan Menggunakan Metode Bootstrap dan Metode Jackknife,” Unnes Journal of Mathematics, vol. 6, pp. 143–152, 2017.
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