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## REGRESSION ANALYSIS

by: Golden Bernhard

26

0

1

# REGRESSION ANALYSIS STA 6207

Golden Bernhard
UF
GPA 3.83

Lawrence Winner

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COURSE
PROF.
Lawrence Winner
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Statistics

This 1 page Class Notes was uploaded by Golden Bernhard on Friday September 18, 2015. The Class Notes belongs to STA 6207 at University of Florida taught by Lawrence Winner in Fall. Since its upload, it has received 26 views. For similar materials see /class/206562/sta-6207-university-of-florida in Statistics at University of Florida.

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Date Created: 09/18/15
Variance Stabilizing Transformations Suppose you have a random variable with the following mean and variance MHM wn mm We want a transformation that has constant variance Writing out a rstorder Taylor series expansion y W fM Y Mf w y fM W Y WWW W WY fMl2 W Y WW Now taking expectations on both sides we get again this is an approximation W VfYl W WWWWV 9Mf l2 Now let 1 fM WdM 90011 ml iiml lt MltMCgtgt2 Thus taking this transformation on Y gives a random variable with an approximately constant variance a VfYl W Example Suppose a2 122 3 9a Case 1 y 1 l l fWMMWW 1 43H a mtJwk Case2 l l l fMWdMdl a m ww Now to estimate 3 a aw 1090 10901 loyM Thus we can estimate 3 by regressing logsi on logi See example in Kuehl p 137 for this where the logarithmic transformation is suggested 099

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