SOCR EduMaterials Activities PowerTransformFamily Graphs
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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 continuously varying with respect to the power parameter <math>\lambda</math> and defined for all <math>y>0</math> 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> | + | <center><math>y^{(\lambda)} = \left \{ {(y^{\lambda}-1)} / {\lambda}, if \lambda \neq 0; and \log{y}, if \lambda = 0 \right\} </math> </center> |
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* '''Exercise 1''': TBD | * '''Exercise 1''': TBD | ||
Revision as of 06:47, 22 February 2007
SOCR Educational Materials - Activities - SOCR Power Transformation Family Graphing Activity
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 λ and defined for all y > 0 by:
- Exercise 1: TBD
References
- Carroll, RJ and Ruppert, D. On prediction and the power transformation family. Biometrika 68: 609-615.
- SOCR Home page: http://www.socr.ucla.edu
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