ADM 2304 Lecture Notes - Lecture 22: Multicollinearity, Minitab, Dialog Box

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Multicollinearity occurs when at least one predictor is or is close to being a linear combination of the other predictor variables. Pairwise collinearity occurs when two predictors are highly correlated (as in previous slide) Multicollinearity will affect our interpretation of the coef cients but does not affect our predictions. The easiest way to deal with multicollinearity is predictors the model anyway simply to drop some. Multicollinearity can be each predictor variable xj on the other predictor variables. Make xj the response variable and determine if it can be derived as a linear combination of the other predictors detected by regressing. We then calculate the variance in ation factor, vifj = 1/(1-rj2) where rj2 is the multiple coef cient of determination in the model with xj as the response variable. If the vif is 100 or higher (i. e. , rj2 > . 99) then we say that multicollinearity is severe. Any vif greater than 10 suggests that multicollinearity may be a problem.

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