SOCR EduMaterials Activities PowerTransformFamily Graphs

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Revision as of 03:55, 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 continuously varying with respect to the power parameter $λ$ and defined for all $y > 0$ by:

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

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

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 == 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 defined by
+* '''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 <math>\lambda</math> and defined for all <math>y>0</math> by:
 <center><math>y^{(\lambda)} = \left \{ (y^{\lambda}-1)/{\lambda}, if \lambda \neq 0; and \log{y}, if \lambda = 0  \right\} </math> </center>
-* '''Exercise 1''': ...
+* '''Exercise 1''': TBD
 <center>[[Image:SOCR_Activities_CardCoinSampling_Dinov_092206_Fig7.jpg|300px]]</center>