The formula for VIF involves regressing the predictor of interest against all other predictors in the model and calculating the coefficient of determination, denoted as R-squared. Understanding Multicollinearity and Its Impact Multicollinearity itself does not violate the assumptions of a regression model, but it makes it difficult to isolate the individual effect of each independent variable on the dependent variable.
VIF Versus Tolerance: Key Differences and When to Use Each
While there is no universal cutoff, many statisticians use specific thresholds to guide their decisions. The VIF is then obtained by dividing one by the result of one minus this R-squared value.
A common rule of thumb is as follows: VIF = 1: No correlation. VIF > 5: High correlation, warranting investigation.
VIF Versus Tolerance: Key Differences and When to Use Each
Alternatively, combining the correlated variables into a single index or component through techniques like Principal Component Analysis (PCA) can reduce dimensionality. These thresholds help researchers determine whether corrective action is necessary.
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