Effects of Multicollinearity and Correlation between the Error Terms on Some Estimators in a System of Regression Equations

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Olanrewaju, Samuel Olayemi
Olanrewaju, Samuel Olayemi
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Olanrewaju
Olanrewaju
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Samuel Olayemi
Samuel Olayemi

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Effects of Multicollinearity and Correlation between the Error Terms on  Some Estimators in a System of Regression Equations

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Abstract

One of the assumptions of a single equation model is that there is one -way causation between the dependent variable Y and the independent variables X. When the assumption is not valid, as, in many econometric models, of lack of correlation between the independent variables and the error terms (U) is further violated, Ordinary Least Square estimator would no longer efficient, that was why this study examined the effects of multicollinearity and a correlation between the error terms on the performance of seven estimators and identified the estimator that yields the most preferred estimates under the separate or joint influence of the two correlation effects under consideration. A two-equation model in which the two correlation problems were introduced was used in this study. The error terms of the two equations were also correlated. The levels of correlation between the error terms and multicollinearity were specified between -1 and +1 at an interval of 0.2 except when the correlation value approached unity. A Monte Carlo experiment of 1000 trials was carried out at five levels of sample sizes 20, 30, 50, 100, and 250 at two runs.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Olanrewaju, Samuel Olayemi. 2020. \u201cEffects of Multicollinearity and Correlation between the Error Terms on Some Estimators in a System of Regression Equations\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 20 (GJSFR Volume 20 Issue F4): .

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Issue Cover
GJSFR Volume 20 Issue F4
Pg. 77- 94
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 62M10
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v1.2

Issue date

July 13, 2020

Language
en
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One of the assumptions of a single equation model is that there is one -way causation between the dependent variable Y and the independent variables X. When the assumption is not valid, as, in many econometric models, of lack of correlation between the independent variables and the error terms (U) is further violated, Ordinary Least Square estimator would no longer efficient, that was why this study examined the effects of multicollinearity and a correlation between the error terms on the performance of seven estimators and identified the estimator that yields the most preferred estimates under the separate or joint influence of the two correlation effects under consideration. A two-equation model in which the two correlation problems were introduced was used in this study. The error terms of the two equations were also correlated. The levels of correlation between the error terms and multicollinearity were specified between -1 and +1 at an interval of 0.2 except when the correlation value approached unity. A Monte Carlo experiment of 1000 trials was carried out at five levels of sample sizes 20, 30, 50, 100, and 250 at two runs.

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Effects of Multicollinearity and Correlation between the Error Terms on Some Estimators in a System of Regression Equations

Olanrewaju
Olanrewaju
Samuel Olayemi
Samuel Olayemi

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