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st: mean centering and interaction effects


From   Maarten buis <[email protected]>
To   stata list <[email protected]>
Subject   st: mean centering and interaction effects
Date   Fri, 23 Jan 2009 12:27:03 +0000 (GMT)

I received a question from a collegue that completely puzzled me. He
has a regression model with an interaction effect. When he
mean-centered his variables (and recreated the interaction effects) the
test statistics (t-value and p-value) changes quite a bit. I did not
expect this to happen as mean-centering is just a linear
transformation. I recreated this behavior in the example below. Does
anyone have an idea what is causing this?

-- Maarten

*-------- begin example ----------
sysuse auto, clear
gen wXf = weight*foreign
reg mpg weight wXf

sum weight, meanonly
gen c_weight = weight - r(mean)

gen c_wXf = c_weight*foreign
reg mpg c_weight c_wXf
*--------- end example -----------
(For more on how to use examples I sent to the Statalist, see
http://home.fsw.vu.nl/m.buis/stata/exampleFAQ.html )


-----------------------------------------
Maarten L. Buis
Department of Social Research Methodology
Vrije Universiteit Amsterdam
Boelelaan 1081
1081 HV Amsterdam
The Netherlands

visiting address:
Buitenveldertselaan 3 (Metropolitan), room N515

+31 20 5986715

http://home.fsw.vu.nl/m.buis/
-----------------------------------------


      
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