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st: Testing joint hypothesis on means, ANOVA
From
Jules Perng <[email protected]>
To
[email protected]
Subject
st: Testing joint hypothesis on means, ANOVA
Date
Sat, 4 Jan 2014 23:39:42 +0800
Greetings all,
I have two factors and a dataset with repeated measures. I have
reshaped it so that it looks a bit like the following:
Subject Factor_1 Factor_2 Amount
1 1 1 5
1 1 2 7
1 1 3 3
2 3 1 5
2 3 2 2
2 3 3 8
3 2 1 4
3 2 2 8
3 2 3 4
4 5 1 4
4 5 2 3
4 5 3 7
5 3 1 9
5 3 2 5
5 3 3 8
6 4 1 8
6 4 2 9
6 4 3 4
Where each subject will select one from five choices of Factor_1 and
select an Amount for each of Factor_2.
I will be arranging the data like so:
Factor_2: 1 Factor_2: 2 Factor_2:
3 F stat.
All Factor_1 (total)
Factor_1: 1
Factor_1: 2
Factor_1: 3
Factor_1: 4
Factor_1: 5
Where I will have the means for each within the matrix.
I would like to run joint hypothesis tests stating that all of the the
row means for each of 1 through 5 of Factor_1 are jointly different
from the total means (in the first row). I would find an F-stat for
each, so there would be 5 F-statistics (the first row would be blank).
I have been quite stuck on how to do this. I found this reference:
http://www.stata.com/support/faqs/statistics/multiple-comparison-tests/
- and it seems that I should run anova, and then test. However, the
example doesn't show how to compare one level to all of the levels
together. I also played a bit with the manova command, but it didn't
give me what I wanted.
It would be great if someone knew the response to this. I have combed
the internet so hopefully this is not a repeated inquiry.
Thanks so much.
--
Jules Perng
503-943-9574
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