Graphical methods for evaluating ridge regression estimator in mixture experiments

Abstract

When the component proportions in mixture experiments are restricted by lower and upper bounds, multicollinearity appears all too frequently. Thus, we can suggest the use of ridge regression as a mean for stabilizing the coefficient estimates in the fitted model. We propose graphical methods for evaluating the effect of ridge regression estimator with respect to the predicted response value and the prediction variance.

Keywords:

• multicollinearity
• ridge regression estimator
• ridge trace; the response trace
• the prediction variance trace