Investigating the impact of multicollinearity on linear regression estimates / Adewoye Kunle Bayo … [et al.]

Bayo, Adewoye Kunle and Rafiu, Ayinla Bayo and Funmilayo, Aminu Titilope and Oluyemi, Onikola Isaac (2021) Investigating the impact of multicollinearity on linear regression estimates / Adewoye Kunle Bayo … [et al.]. Malaysian Journal of Computing (MJoC), 6 (1). pp. 698-714. ISSN (eISSN): 2600-8238

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Abstract

The study was to investigate the impact of multicollinearity on linear regression estimates. The study was guided by the following specific objectives, (i) to examine the asymptotic properties of estimators and (ii) to compare lasso, ridge, elastic net with Ordinary Least Squares (OLS). The study employed Monte-Carlo simulation to generate set of highly collinear and induced multicollinearity variables with sample sizes of 25, 50, 100, 150, 200, 250, 1000 as a source of data in this research work and the data was analyzed with lasso, ridge, elastic net and ordinary least squares using statistical package. The study findings revealed that absolute bias of ordinary least squares was consistent at all sample sizes as revealed by past researched on multicollinearity as well while lasso type estimators fluctuated alternately. Also revealed that, mean square error of ridge regression outperformed other estimators with minimum variance at small sample size and OLS was the best at large sample size. The study recommended that OLS was asymptotically consistent at a specified sample sizes on this research work and ridge regression was efficient at small and moderate sample size.

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Item Type: Article
Creators:
Creators
Email
Bayo, Adewoye Kunle
olakunleadewoye@yahoo.com
Rafiu, Ayinla Bayo
atiku4sta@yahoo.com
Funmilayo, Aminu Titilope
telty4life@yahoo.com
Oluyemi, Onikola Isaac
yemobenson2k@gmail.com
Subjects: Q Science > QA Mathematics > Analysis > Analytical methods used in the solution of physical problems
Divisions: Universiti Teknologi MARA, Shah Alam > Faculty of Computer and Mathematical Sciences
Journal or Publication Title: Malaysian Journal of Computing (MJoC)
UiTM Journal Collections: UiTM Journal > Malaysian Journal of Computing (MJoC)
ISSN: (eISSN): 2600-8238
Volume: 6
Number: 1
Page Range: pp. 698-714
Official URL: https://mjoc.uitm.edu.my
Item ID: 47825
Uncontrolled Keywords: Lasso & Elastic, Multicollinearity, Ridge
URI: https://ir.uitm.edu.my/id/eprint/47825

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47825

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