Having in view previous contributions of the author related to the impact of collinearity on the estimated values of parameters of multifactorial linear regressions, in this paper the correlation between Student and Fisher test is emphasized and a correction of the standard computation of the Student test is proposed, in order to increase the respective test relevance and to detect the occurrence of “statistical illusions” determined by collinearity. Also, the impact of adding a new explanatory variable in the linear regression equation is analyzed and the conditions in which such a step is efficient are determined.
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Find related papers by JEL classification: C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation and Testing