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Predictor variable multicollinearity in the use of least squares as well as maximum likelihood classification strategies – discriminant analysis and logistic regression -- are considered from the perspective of classification prediction. As opposed to prior studies that consider the effect of multicollinearity on classification accuracy by varying a constant proportion eigenvalue decrement, a method for manipulating multicollinearity while maintaining a real data set’s eigenvalue structure is used. For 26 data sets examined, it is shown that multicollinearity has no effect in respect to classification accuracy for either mathematical model.