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st: Interaction term (with empty cells) in ANOVA
From 
 
Martin Korndoerfer <[email protected]> 
To 
 
[email protected] 
Subject 
 
st: Interaction term (with empty cells) in ANOVA 
Date 
 
Sat, 20 Apr 2013 13:26:09 +0200 
Hi all,
I am facing the following problem:
I want to conduct a simple ANOVA with two fixed factors and their interaction.
hhld = maximum number of children in household (3 levels: 2-4)
position = rank in household (4 levels: 1-4)
position#hhld
Entering
anova score_ext position hhld position#hhld
I get the usual output for an ANOVA. However, for the interaction  
term, three cells are empty (by design). But the output does not  
change neither if I ?set emptycells drop? nor if I ?set emptycells  
keep?. Do you know why?
In case of empty cells, I thought a maximum likelihood estimation is  
the right thing to do. Is Stata perhaps doing this automatically?  
(Thus, can I use the output?)
Another simple possibility I thought of was the following command:
regress score_ext position hhld position#hhld
Now, Stata recognizes that there are empty (and omitted) cells but  
there is no longer a coefficient for the whole interaction term.  
Instead, Stata gives a coefficient for each possible combination of  
position and hhld (which is not empty or omitted). Is this the right  
command and is it just not possible to determine a coefficient for the  
whole interaction term?
Or do I need to create a maximum likelihood estimation by myself? ? In  
this case, what is the right command to apply?
I appreciate any help.
Thanks
 Martin
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