Some new diagnostics of multicollinearity in linear regression model

The problem of multicollinearity compromises the numerical stability of the regression coefficient estimate and cause some serious problem in validation and interpretation of the model. In this paper, we propose two new collinearity diagnostics for the detection of collinearity among regressors, bas...

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Main Authors: Ullah, Muhammad Imdad, Aslam, Muhammad, Altaf, Saima, Ahmed, Munir
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2019
Online Access:http://journalarticle.ukm.my/14359/
http://journalarticle.ukm.my/14359/
http://journalarticle.ukm.my/14359/1/26%20Muhammad%20Imdad%20Ullah.pdf
id ukm-14359
recordtype eprints
spelling ukm-143592020-03-03T08:18:38Z http://journalarticle.ukm.my/14359/ Some new diagnostics of multicollinearity in linear regression model Ullah, Muhammad Imdad Aslam, Muhammad Altaf, Saima Ahmed, Munir The problem of multicollinearity compromises the numerical stability of the regression coefficient estimate and cause some serious problem in validation and interpretation of the model. In this paper, we propose two new collinearity diagnostics for the detection of collinearity among regressors, based on coefficient of determination and adjusted coefficient of determination from auxiliary regression of regressors. A Monte Carlo simulation study has been conducted to compare the existing and proposed collinearity diagnostic tests. Comparison of diagnostics on some existing collinear data are also made. Penerbit Universiti Kebangsaan Malaysia 2019-09 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/14359/1/26%20Muhammad%20Imdad%20Ullah.pdf Ullah, Muhammad Imdad and Aslam, Muhammad and Altaf, Saima and Ahmed, Munir (2019) Some new diagnostics of multicollinearity in linear regression model. Sains Malaysiana, 48 (9). pp. 2051-2060. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid48bil9_2019/KandunganJilid48Bil9_2019.html
repository_type Digital Repository
institution_category Local University
institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
collection Online Access
language English
description The problem of multicollinearity compromises the numerical stability of the regression coefficient estimate and cause some serious problem in validation and interpretation of the model. In this paper, we propose two new collinearity diagnostics for the detection of collinearity among regressors, based on coefficient of determination and adjusted coefficient of determination from auxiliary regression of regressors. A Monte Carlo simulation study has been conducted to compare the existing and proposed collinearity diagnostic tests. Comparison of diagnostics on some existing collinear data are also made.
format Article
author Ullah, Muhammad Imdad
Aslam, Muhammad
Altaf, Saima
Ahmed, Munir
spellingShingle Ullah, Muhammad Imdad
Aslam, Muhammad
Altaf, Saima
Ahmed, Munir
Some new diagnostics of multicollinearity in linear regression model
author_facet Ullah, Muhammad Imdad
Aslam, Muhammad
Altaf, Saima
Ahmed, Munir
author_sort Ullah, Muhammad Imdad
title Some new diagnostics of multicollinearity in linear regression model
title_short Some new diagnostics of multicollinearity in linear regression model
title_full Some new diagnostics of multicollinearity in linear regression model
title_fullStr Some new diagnostics of multicollinearity in linear regression model
title_full_unstemmed Some new diagnostics of multicollinearity in linear regression model
title_sort some new diagnostics of multicollinearity in linear regression model
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2019
url http://journalarticle.ukm.my/14359/
http://journalarticle.ukm.my/14359/
http://journalarticle.ukm.my/14359/1/26%20Muhammad%20Imdad%20Ullah.pdf
first_indexed 2023-09-18T20:06:55Z
last_indexed 2023-09-18T20:06:55Z
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