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Statistics and Probability

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Southern Illinois University Carbondale

Box-Cox Transformation

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A Note On Visualizing Response Transformations In Regression, R. Dennis Cook, David J. Olive Nov 2001

A Note On Visualizing Response Transformations In Regression, R. Dennis Cook, David J. Olive

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A new graphical method for assessing parametric transformations of the response in linear regression is given. Simply regress the response variable Y on the predictors and find the fitted values. Then dynamically plot the transformed response Y(λ) against those fitted values by varying the transformation parameter λ until the plot is linear. The method can also be used to assess the success of numerical response transformation methods and to discover influential observations. Modifications using robust estimators can be used as well.