SOCR EduMaterials Activities PowerTransformFamily Graphs

This is activity demonstrates the usage, effects and properties of the modified power transformation family using graphs of scatter plots

• Background: The power transformation family is often used for transforming data for the perpose of making it more Normal-like. The power transformation is continuously varying with respect to the power parameter \(\lambda\) and defined for all \(y>0\) by:

\(y^{(\lambda)} = \left \{ {(y^{\lambda}-1)} / {\lambda}, if \lambda \neq 0; and \log{y}, if \lambda = 0 \right\} \)

• Exercise 1: TBD

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References

• Carroll, RJ and Ruppert, D. On prediction and the power transformation family. Biometrika 68: 609-615.

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• SOCR Home page: http://www.socr.ucla.edu

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