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st: Two-way anova vs linear regression: how can I understand Partial SS

From   "Hoogendoorn, Adriaan" <[email protected]>
To   "[email protected]" <[email protected]>
Subject   st: Two-way anova vs linear regression: how can I understand Partial SS
Date   Mon, 4 Jan 2010 11:22:45 +0100

Dear Statalist,

My question is more about statistics than about Stata, but also so elementary 
that I'd like to post this problem here.

In ANOVA I have difficulty in understanding the notion of Partial Sum of 
Squares - being the default option in Stata's anova. 

In understanding statistical methods, I use linear regression (OLS) as a 
reference method, since regression allows me to draw pictures in my mind
and is a method that I feel comfortable with. ANOVA is not so intuitive 
to me. But since the underlying methods of OLS and ANOVA are essentially 
the same (both General Linear Models - GLMs), I regard the difference 
between these methods as "different interfaces" to the same GLM. 

My question is: 
'How can I obtain the Partial Sum of Squares of each of 
the variables in the case of a two way anova with interaction by us of 
regression analysis?'

or - more applied - :  
How do I get the Partial SS of foreign in:  
*---------------- begin example --------------------------
sysuse auto, clear
anova mpg foreign rep78 foreign#rep78
*------------------ end example -----------------------------
using regression analysis?

Kind regards, 
Adriaan Hoogendoorn
GGZ inGeest, Amsterdam.

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