Bi-Response Semiparametric Regression Model based on Spline Truncated for Estimating Computer based National Exam in West Nusa Tenggara

Lilik Hidayati, I Nyoman Budiantara, Nur Chamidah

2018

Abstract

Bi-response semiparametric regression model is a regression model consisting of two components, parametric and nonparametric with two response variables. The propose of this research, we estimate the parameters of bi-response semiparametric regression model based on spline truncated by using the weighted least square method. Then model it using bi-respon semiparametric regression model based on a spline truncated estimator. The joint point of combination of the truncated or the point that indicates the occurrence of changes in curve behavior at these intervals are called knots. The best model is determined by the optimal knot point, the method used to select the optimal knot point is to use the generalized cross validation method. The model is applied to the computer based national examination values of West Nusa Tenggara province. Based on the result of the estimation model, we get knot optimal brapathe determination coefficient (R2) tends to one (i.e., 90%) and MSE tend to zero that it satisfies goodness of fit criterions.

Paper Citation

in Harvard Style

Hidayati L., Budiantara I. and Chamidah N. (2018). Bi-Response Semiparametric Regression Model based on Spline Truncated for Estimating Computer based National Exam in West Nusa Tenggara.In Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs, ISBN 978-989-758-407-7, pages 357-361. DOI: 10.5220/0008521903570361

in Bibtex Style

@conference{icmis18,
author={Lilik Hidayati and I Nyoman Budiantara and Nur Chamidah},
title={Bi-Response Semiparametric Regression Model based on Spline Truncated for Estimating Computer based National Exam in West Nusa Tenggara},
booktitle={Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs,},
year={2018},
pages={357-361},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008521903570361},
isbn={978-989-758-407-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs,
TI - Bi-Response Semiparametric Regression Model based on Spline Truncated for Estimating Computer based National Exam in West Nusa Tenggara
SN - 978-989-758-407-7
AU - Hidayati L.
AU - Budiantara I.
AU - Chamidah N.
PY - 2018
SP - 357
EP - 361
DO - 10.5220/0008521903570361