PENERAPAN REGRESI AKAR LATEN DALAM MENANGANI MULTIKOLINEARITAS PADA MODEL REGRESI LINIER BERGANDA

  • DWI LARAS RIYANTINI Faculty of Mathematics and Natural Sciences, Udayana University
  • MADE SUSILAWATI Faculty of Mathematics and Natural Sciences, Udayana University
  • KARTIKA SARI Faculty of Mathematics and Natural Sciences, Udayana University

Abstract

Multicollinearity is a problem that often occurs in multiple linear regression. The existence of multicollinearity in the independent variables resulted in a regression model obtained is far from accurate. Latent root regression is an alternative in dealing with the presence of multicollinearity in multiple linear regression. In the latent root regression, multicollinearity was overcome by reducing the original variables into new variables through principal component analysis techniques. In this regression the estimation of parameters is modified least squares method. In this study, the data used are eleven groups of simulated data with varying number of independent variables. Based on the VIF value and the value of correlation, latent root regression is capable of handling multicollinearity completely. On the other hand, a regression model that was obtained by latent root regression has   value of 0.99, which indicates that the independent variables can explain the diversity of the response variables accurately.

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Author Biographies

DWI LARAS RIYANTINI, Faculty of Mathematics and Natural Sciences, Udayana University

Jurusan Matematika FMIPA Universitas Udayana, Bukit Jimbaran-Bali

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

Jurusan Matematika FMIPA Universitas Udayana, Bukit Jimbaran-Bali

KARTIKA SARI, Faculty of Mathematics and Natural Sciences, Udayana University

Jurusan Matematika FMIPA Universitas Udayana, Bukit Jimbaran-Bali

Published
2014-01-31
How to Cite
RIYANTINI, DWI LARAS; SUSILAWATI, MADE; SARI, KARTIKA. PENERAPAN REGRESI AKAR LATEN DALAM MENANGANI MULTIKOLINEARITAS PADA MODEL REGRESI LINIER BERGANDA. E-Jurnal Matematika, [S.l.], v. 3, n. 1, p. 8 - 16, jan. 2014. ISSN 2303-1751. Available at: <https://ojs.unud.ac.id/index.php/mtk/article/view/9600>. Date accessed: 25 oct. 2021. doi: https://doi.org/10.24843/MTK.2014.v03.i01.p060.
Section
Articles

Keywords

Multiple Linear Regression; Multicollinearity; Latent Root Regression; Least Squares Method Modified

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