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An Extensive Study on the Disturbances Generated by Collinearity in a Linear Regression Model with Three Explanatory Variables


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    (Institute of National Economy, Romanian Academy)


In econometric models, linear regressions with three explanatory variables are widely used. As examples can be cited: Cobb-Douglas production function with three inputs (capital, labour and disembodied technical change), Kmenta function used for approximation of CES production function parameters, error-correction models, etc. In case of multiple linear regressions, estimated parameters values and some statistical tests are influenced by collinearity between explanatory variables. In fact, collinearity acts as a noise which distorts the signal (proper parameter values). This influence is emphasized by the coefficients of alignment to collinearity hazard values. The respective coefficients have some similarities with the signal to noise ratio. Consequently, it may be used when the type of collinearity is determined. For these reasons, the main purpose of this paper is to identify all the modeling factors and quantify their impact on the above-mentioned indicator values in the context of linear regression with three explanatory variables.

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Bibliographic Info

Article provided by Institute of National Economy in its journal Romanian Journal of Economics.

Volume (Year): 31 (2010(XX))
Issue (Month): 2(40) (December)
Pages: 65-93

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Handle: RePEc:ine:journl:v:2:y:2010:i:40:p:65-93

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Keywords: types of collinearity; coefficient of mediated correlation; rank of explanatory variable; order of attractor of collinearity; mediated collinearity; anticollinearity;

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  1. Pavelescu, Florin Marius, 2009. "A Review Of Student Test Properties In Condition Of Multifactorial Linear Regression," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 6(1), pages 63-75, March.
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Cited by:
  1. Adenuga, A.H. & Muhammad-Lawal, A. & Rotimi, O.A., 2013. "Economics and Technical Efficiency of Dry Season Tomato Production in Selected Areas in Kwara State, Nigeria," AGRIS on-line Papers in Economics and Informatics, Czech University of Life Sciences Prague, Faculty of Economics and Management, vol. 5(1), March.
  2. Florin-Marius PAVELESCU, 2014. "An Extension Of The Methodology Of Using The Student Test In Case Of A Linear Regression With Three Explanatory Variables," Romanian Journal of Economics, Institute of National Economy, vol. 38(1(47)), pages 89-106, June.
  3. Florin-Marius PAVELESCU, 2011. "Some aspects of the translog production function estimation," Romanian Journal of Economics, Institute of National Economy, vol. 32(1(41)), pages 131-150, June.


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