Abstract
Multicollinearity is a case of multiple regression in which the predictor variables are highly correlated among themselves. The problem will get more complicated when multicollinearity exists together with high leverage points. The usage of classical VIF for multicollinearity diagnostics is not reliable as it is not resistant to the presence of high leverage points. In this study, we proposed RVIF which is based on the MM estimator in the detection of multicollinearity due to the high leverage point. The computation of RVIF is based on robust coefficient determination which is called RR2 (MM). We denote this estimator as RVIF (MM). The numerical results and Monte Carlo simulation study indicate that the CVIF performs poorly in the presence of high leverage point and the proposed RVIF is very resistant to the high leverage point and unable to detect the multicollinearity in the data.
Metadata
Item Type: | Article |
---|---|
Creators: | Creators Email / ID Num. Ibrahim, Nurul Bariyah bariyah@kelantan.uitm.edu.my Midi, Habshah (Prof Dr.) UNSPECIFIED Noor Ilanie Nordin, Noor Ilanie UNSPECIFIED Ismail, Nor Azima UNSPECIFIED Jauhari, Nur Elini UNSPECIFIED Mohamad Sobri, Norafefah UNSPECIFIED |
Subjects: | Q Science > QA Mathematics > Factor analysis. Principal components analysis. Correspondence analysis Q Science > QA Mathematics > Analysis |
Divisions: | Universiti Teknologi MARA, Kelantan > Unit Penerbitan UiTM Kelantan |
Journal or Publication Title: | Journal of Mathematics and Computing Science (JMCS) |
UiTM Journal Collections: | UiTM Journal > Journal of Mathematics and Computing Science (JMCS) |
ISSN: | 0128-0767 |
Volume: | 1 |
Number: | 1 |
Page Range: | pp. 30-37 |
Keywords: | High leverage point, Multicollinearity, MM Estimator, Robust coefficient determinations,Variance Inflation Factors. |
Date: | June 2016 |
URI: | https://ir.uitm.edu.my/id/eprint/24199 |
Download
9-Article Text-34-1-10-20181104 - Combine Cover.pdf
Download (8MB)