JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Vol. 19 No. 1 (2022): SEPTEMBER, 2022

Pemodelan Pemodelan Regresi Nonparametrik Berdasarkan Estimator Spline Truncated pada Data Simulasi

Ghony N Nurhuda (Universitas Mulawarman)
Wasono Wasono (Universitas Mulawarman)
Darnah Andi Nohe (Universitas Mulawarman)



Article Info

Publish Date
07 Sep 2022

Abstract

Regression analysis is one of the statistical analysis used to estimate the pattern of the relationship between predictor variables and response variables . In general, the approach to estimating the regression function is the parametric regression, the nonparametric regression and the semiparametric regression. The approach with parametric regression is used if the shape of the regression curve is assumed to follow a certain pattern such as linear, quadratic, cubic and so on, but in fact there is an unknown pattern of relationship between predictor variables and response variables, so nonparametric regression is used. Then the combination of parametric and nonparametric regression is semiparametric regression. One of the well-known nonparametric regression estimators is the spline truncated. This study was conducted by simulating the relationship pattern of the response variable and the predictor variable that not have specific pattern by following a trigonometric function that formed a regression curve with a standard deviation of 0,05 and 0,25 which formed a different distribution of data, then will be approached with parametric regression (linear, quadratic, cubic) and nonparametric regression (spline truncated linear). Based on the coefficient of determination of each standard deviation, it will shows that the nonparametric regression approach has high flexibility so that it is able to adjust the form of regression curve estimation by itself

Copyrights © 2022






Journal Info

Abbrev

jmsk

Publisher

Subject

Mathematics

Description

Jurnal ini mempublikasikan paper-paper original hasil-hasil penelitian dibidang Matematika, Statistika dan Komputasi ...