The impact of collinearity on regression analysis: the asymmetric effect of negative and positive correlations

The purpose of this paper is to ascertain how collinearity in general, and the sign of correlations in specific, affect parameter inference, variable omission bias, and their diagnostic indices in regression. It is found that collinearity can reduce parameter variance estimates and that positive and negative correlation structures have an asymmetric effect on variable omission bias. It is also shown that the effects of collinearity are moderated by the relationship between the dependent variable and the regressors, a consideration not incorporated into most commonly used collinearity diagnostics. The formulae derived enable researchers to assess the sensitivity of regression results to the underlying correlation structure in the data.

[1]  O. H. Erekson,et al.  Factors influencing the adoption of state lotteries , 1999 .

[2]  D. Hojman.  Evolution of infant and child mortality in Chile: a model. , 1992, Applied economics.

[3]  Are public and private outlays for physical and knowledge capital accumulation equally productive , 1999 .

[4]  D. Rubinfeld,et al.  Econometric models and economic forecasts , 2002 .

[5]  Å. Löfström.  Can job evaluation improve women's wages? , 1999 .

[6]  Bernd Hayo,et al.  Money-output Granger causality revisited: an empirical analysis of EU countries , 1999 .

[7]  G. Stewart.  Collinearity and Least Squares Regression , 1987 .

[8]  Magnus Tambour,et al.  The Impact of Internal Markets on Health Care Efficiency: Evidence from Health Care Reforms in Sweden , 1999 .

[9]  Is Dualism Still a Source of Convergence in Europe? , 1997 .

[10]  David A. Belsley,et al.  Regression Analysis and its Application: A Data-Oriented Approach.@@@Applied Linear Regression.@@@Regression Diagnostics: Identifying Influential Data and Sources of Collinearity , 1981 .

[11]  G. Menahem.  A target level of risk model of respiratory pathologies and smoking behaviour , 1999 .

[12]  J. Cosset,et al.  The measurement of the degree of foreign involvement , 1995 .

[13]  F. Aiello.  Effects of STABEX on ACPs' economic growth: Further evidence , 1999 .

[14]  P. Tsakloglou,et al.  Fertility and economic development: theoretical considerations and cross-country evidence. , 1999, Applied economics.

[15]  Jan Kmenta,et al.  Elements of econometrics , 1988 .

[16]  Sanjoy Ghose,et al.  When Choice Models Fail: Compensatory Models in Negatively Correlated Environments , 1989 .

[17]  Charlotte H. Mason,et al.  Collinearity, power, and interpretation of multiple regression analysis. , 1991 .

[18]  P. Green,et al.  Research for Marketing Decisions. , 1967 .

[19]  N. Billington.  The location of foreign direct investment: an empirical analysis , 1999 .

[20]  C. A. Greene.  On the impossibility of a stable and low GDP elasticity of money demand: the arithmetic of aggregation, replication and income growth , 1999 .

[21]  D. Wittink,et al.  The Application of Regression Analysis. , 1990 .

[22]  Zinan Liu,et al.  Evidence on market structure of the deregulated US airline industry , 1999 .

[23]  R. Bagozzi.  Structural Equation Models in Experimental Research , 1977 .

[24]  D. Dutta,et al.  An aggregate import demand function for Bangladesh: a cointegration approach , 1999 .

[25]  G. Monette,et al.  Generalized Collinearity Diagnostics , 1992 .

[26]  Paul A. Natke.  Financial repression and firm self-financing of investment: empirical evidence from Brazil , 1999 .

[27]  J. Alexander,et al.  Aggregate investment in New Zealand pre-and post-restructuring , 1999 .

[28]  D. Aaker,et al.  Chapter 2 – Marketing research , 2004 .

[29]  A 'pricing-to-market' model with unobserved variables: explaining New Zealand's import prices , 1999 .

[30]  R. Boyd,et al.  The J-curve effect and US agricultural and industrial trade , 1999 .