SOCR EduMaterials Activities PowerTransformFamily Graphs

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Revision as of 02:40, 22 February 2007

Background: The power transformation family is often used for transforming data for the perpose of making it more Normal-like. The power transformation is defined by

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

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

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 * '''Background''': The '''power transformation family''' is often used for transforming data for the perpose of making it more Normal-like. The power transformation is defined by
-<center><math>\[ y^{(\lambda)} = \left\{ \begin{array}{ll}
+<center><math>y^{(\lambda)} = \left \{ (y^{\lambda}-1)/{\lambda}, if \lambda \neq 0; and \log{y}, if \lambda = 0  \right\} </math> </center>
-         (y^{\lambda}-1)/\lambda & \mbox{if \lambda != 0$};\\
-        \log(y) & \mbox{if \lambda = 0$}.\end{array} \right. \]</math> </center>
 * '''Exercise 1''': ...