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Estimation Of The Box Cox Transformation Parameter And Application To Hydrologic Data 1

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mwong29

Culminating PowerPoint presentation for my summer research with Dr. Richard McCuen.

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Estimation of the Box-Cox Transformation Parameter and Application to Hydrologic Data Melanie Wong Friday, August 29, 2008
Introduction ,[object Object],[object Object]
Detecting Normality ,[object Object],[object Object],[object Object],[object Object],[object Object]
Moment Ratio Diagram
Transformation to Normality ,[object Object],[object Object],[object Object],[object Object]
The Box-Cox Transformation
Transformation Procedure ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Determining the Optimal λ ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Research Goal and Objectives ,[object Object],[object Object],[object Object],[object Object],[object Object]
Sampling Variation 10,000 simulations
Second Objective ,[object Object]
The Importance of λ ,[object Object],[object Object]
Optimizing λ ,[object Object],[object Object],[object Object]
Simulation Results β1 values ↔ β2 values ↕
Variation of λ
Confidence Intervals Procedure: Logarithmic ,[object Object],[object Object],[object Object]
Confidence Interval Procedure: Box-Cox ,[object Object],[object Object],[object Object],[object Object]
Example 1: Monthly Rainfall Measurements ,[object Object],[object Object]
Example 1: After Logarithmic Transformation ,[object Object]
Example 1: After Box-Cox Transformation ,[object Object],[object Object]
Histogram of Rainfall Data
90% Confidence Intervals on Rainfall Box-Cox Transformed: Log Transformed:
Example 2: Drainage Pipe Costs ,[object Object],[object Object]
Example 2: After Logarithmic Transformation ,[object Object]
Example 2: After Box-Cox Transformation ,[object Object],[object Object]
Histogram of Pipe Cost Data
90% Confidence Intervals on Pipe Cost Box-Cox Transformed: Log Transformed:
Conclusions ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object]

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Estimation Of The Box Cox Transformation Parameter And Application To Hydrologic Data 1