Multcompare function does not compare all variable groups from anova2

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Beth
Beth 2013-5-7
Hi,
I am using the function anova2 to complete a two-way ANOVA. Here is the data:
d =
1.0e+03 *
0.0053 0.9991
0.0042 1.6223
0.0044 1.2638
0.0016 0.0031
0.0024 0.0036
0.0018 0.0036
Here is the code I ran:
[p,h,s]=anova2(d,3)
both columns and rows were significant with significant interaction:
p =
1.0e-04 *
0.9668 0.9543 0.9827
I ran multcompare on this analysis
[c, m, h, nms] = multcompare(s,'alpha',0.05,'ctype','bonferroni')
and this was my result:
c =
1.0000 2.0000 -854.1768 -645.9667 -437.7565
I realize that you can specify either column or row for the multcompare function, but shouldn't the multcompare function compare all quadrants:
i.e.
d =
1 2
3 4
Shouldn't the multcompare function compare 1 & 2, 1 & 3, 1 & 4, 2 & 3, 2 & 4 and 3 & 4, because both columns and rows were significantly different. Maybe I am misunderstanding how the multcompare function works.
Any help would be greatly appreciated. Thanks.
Beth

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采纳的回答

Tom Lane
Tom Lane 2013-5-10
You are right, it looks like multcompare with anova2 can only compare one dimension at a time. But multcompare with anovan can compare both. Try this:
row = [1 1 1 2 2 2 1 1 1 2 2 2]';
col = [1 1 1 1 1 1 2 2 2 2 2 2]';
[p,~,s] = anovan(d(:),{row col},'interaction')
multcompare(s,'dim',1:2)

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