PERBANDINGAN TRANSFORMASI BOX-COX DAN REGRESI KUANTIL MEDIAN DALAM MENGATASI HETEROSKEDASTISITAS

  • NI WAYAN YUNI CAHYANI Faculty of Mathematics and Natural Sciences, Udayana University
  • I GUSTI AYU MADE SRINADI Faculty of Mathematics and Natural Sciences, Udayana University
  • MADE SUSILAWATI Faculty of Mathematics and Natural Sciences, Udayana University

Abstract

Ordinary least square (OLS) is a method that can be used to estimate the parameter in linear regression analysis. There are some assumption which should be satisfied on OLS, one of this assumption is homoscedasticity, that is the variance of error is constant. If variance of the error is unequal that so-called heteroscedasticity. The presence heteroscedasticity can cause estimation with OLS becomes inefficient. Therefore, heteroscedasticity shall be overcome. There are some method that can used to overcome heteroscedasticity, two among those are Box-Cox power transformation and median quantile regression. This research compared Box-Cox power transformation and median quantile regression to overcome heteroscedasticity. Applied Box-Cox power transformation on OLS result ????2point are greater, smaller RMSE point and confidencen interval more narrow, therefore can be concluded that applied of Box-Cox power transformation on OLS better of median quantile regression to overcome heteroscedasticity.

Author Biographies

NI WAYAN YUNI CAHYANI, Faculty of Mathematics and Natural Sciences, Udayana University

Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

I GUSTI AYU MADE SRINADI, Faculty of Mathematics and Natural Sciences, Udayana University

Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

MADE SUSILAWATI, Faculty of Mathematics and Natural Sciences, Udayana University

Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Published
2015-01-30
How to Cite
CAHYANI, NI WAYAN YUNI; SRINADI, I GUSTI AYU MADE; SUSILAWATI, MADE. PERBANDINGAN TRANSFORMASI BOX-COX DAN REGRESI KUANTIL MEDIAN DALAM MENGATASI HETEROSKEDASTISITAS. E-Jurnal Matematika, [S.l.], v. 4, n. 1, p. 8 - 13, jan. 2015. ISSN 2303-1751. Available at: <https://ojs.unud.ac.id/index.php/mtk/article/view/12283>. Date accessed: 11 nov. 2019. doi: https://doi.org/10.24843/MTK.2015.v04.i01.p081.
Section
Articles

Keywords

Heteroscedasticity; OLS; Box-Cox power transformation; Median Quantile Regression