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Gerry Myerson  
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 More options Nov 4 2009, 10:34 pm
Newsgroups: sci.math
From: Gerry Myerson <ge...@maths.mq.edi.ai.i2u4email>
Date: Thu, 05 Nov 2009 09:34:38 +1100
Local: Wed, Nov 4 2009 10:34 pm
Subject: Re: are these two groups significantly different?
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<200155541.10976.1257357754804.JavaMail.r...@gallium.mathforum.org>,
 tony lincoln <tony_linc...@yahoo.com> wrote:

> Hi,

> I have two groups of data: In every group there are 29 subgroups, in every
> subgroup, there are 1-15 numbers ranged from 0 to 80. The subgroups are
> DEPENDENT of each other.
> I wanna compare whether these two groups are sgnificantly different
> without mixing all numbers in subgroups together. How should I do the
> analysis?

> To make one example of this question, suppose:
> 2 groups, in every group there are only 3 subgroups, in every subgroup
> there are at most 5 numbers ranged from 0 to 80:

> group 1:
> subgroup a: 0.1, 23, 44, 12.5, 5.0
> subgroup b: 24
> subgroup c: 23, 44

> group 2:
> subgroup a: 32, 45, 5.5, 6.7
> subgroup b: 22.2, 45, 56, 52, 10
> subgroup c: 2.2, 4.5, 6.1, 32

> In every group, the 3 subgroups are not independent of each other. How can I
> compare whether group 1 and 2 are significantly different from each other,
> without mixing the 8 numbers in group 1 together and mixing the 13 numbers in
> group 2 together?

I think that first you'll have to decide (or, if you've already
decided, let us know) what it means for two (finite) collections
of (finite) sets (of positive real numbers) to be "significantly
different."

Also, it appears that you are using the word "independent" in a way
that is not standard in mathematical writing. Do you mean that the
sets are not pairwise disjoint? that is, that there may be a number
that is in two or more of the sets in one of the two collections?

I second Arturo's suggestion that you not use the words "group"
and "subgroup" when you don't intend them with the usual meanings
given to them by mathematicians. You'll note I've used "collection"
and "set" instead.

--
Gerry Myerson (ge...@maths.mq.edi.ai) (i -> u for email)


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