Difference between revisions of "SOCR EduMaterials Activities PowerTransformFamily Graphs"
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== This is activity demonstrates the usage, effects and properties of the modified power transformation family using graphs of scatter plots == | == 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> | <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> | <center>[[Image:SOCR_Activities_CardCoinSampling_Dinov_092206_Fig7.jpg|300px]]</center> | ||
Revision as of 23:01, 21 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 \(\lambda\) and defined for all \(y>0\) by:
- Exercise 1: TBD
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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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