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Title: :  The Effects of Multicollinearity in Ordinary Least Squares (OLS) Estimation
PaperId: :  2996
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 2 Issue 4 2016
DUI:    16.0415/IJARIIE-2996
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Weeraratne N.C.Sabaragamuwa University of Sri Lanka

Abstract

Statistics
OLS Estimation, Multicollinearity, Regression Coefficients
The explanatory variables are not perfectly linearly correlated is one of the crucial assumption of Ordinary Least Squares (OLS) Estimation. So this paper explains the stability of OLS estimation when the explanatory variables are perfectly linearly correlated. This paper shows, If the correlation between the particular explanatory variables is perfect (r_(x_i x_j )=1), then the estimates of the regression coefficients are undesirable and the standard deviation of the regression coefficients are infinitely large.

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IJARIIE Weeraratne N.C.. "The Effects of Multicollinearity in Ordinary Least Squares (OLS) Estimation" International Journal Of Advance Research And Innovative Ideas In Education Volume 2 Issue 4 2016 Page 1002-1008
MLA Weeraratne N.C.. "The Effects of Multicollinearity in Ordinary Least Squares (OLS) Estimation." International Journal Of Advance Research And Innovative Ideas In Education 2.4(2016) : 1002-1008.
APA Weeraratne N.C.. (2016). The Effects of Multicollinearity in Ordinary Least Squares (OLS) Estimation. International Journal Of Advance Research And Innovative Ideas In Education, 2(4), 1002-1008.
Chicago Weeraratne N.C.. "The Effects of Multicollinearity in Ordinary Least Squares (OLS) Estimation." International Journal Of Advance Research And Innovative Ideas In Education 2, no. 4 (2016) : 1002-1008.
Oxford Weeraratne N.C.. 'The Effects of Multicollinearity in Ordinary Least Squares (OLS) Estimation', International Journal Of Advance Research And Innovative Ideas In Education, vol. 2, no. 4, 2016, p. 1002-1008. Available from IJARIIE, http://ijariie.com/AdminUploadPdf/The_Effects_of_Multicollinearity_in_Ordinary_Least_Squares__OLS__Estimation_ijariie2996.pdf (Accessed : 12 August 2016).
Harvard Weeraratne N.C.. (2016) 'The Effects of Multicollinearity in Ordinary Least Squares (OLS) Estimation', International Journal Of Advance Research And Innovative Ideas In Education, 2(4), pp. 1002-1008IJARIIE [Online]. Available at: http://ijariie.com/AdminUploadPdf/The_Effects_of_Multicollinearity_in_Ordinary_Least_Squares__OLS__Estimation_ijariie2996.pdf (Accessed : 12 August 2016)
IEEE Weeraratne N.C., "The Effects of Multicollinearity in Ordinary Least Squares (OLS) Estimation," International Journal Of Advance Research And Innovative Ideas In Education, vol. 2, no. 4, pp. 1002-1008, Jul-Aug 2016. [Online]. Available: http://ijariie.com/AdminUploadPdf/The_Effects_of_Multicollinearity_in_Ordinary_Least_Squares__OLS__Estimation_ijariie2996.pdf [Accessed : 12 August 2016].
Turabian Weeraratne N.C.. "The Effects of Multicollinearity in Ordinary Least Squares (OLS) Estimation." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 2 number 4 (12 August 2016).
Vancouver Weeraratne N.C.. The Effects of Multicollinearity in Ordinary Least Squares (OLS) Estimation. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2016 [Cited : 12 August 2016]; 2(4) : 1002-1008. Available from: http://ijariie.com/AdminUploadPdf/The_Effects_of_Multicollinearity_in_Ordinary_Least_Squares__OLS__Estimation_ijariie2996.pdf
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