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Re: Help setting up an array [message #24423 is a reply to message #24419]

Thu, 29 March 2001 07:33

Jaco van Gorkom
Messages: 97
Registered: November 2000

Member

Peter Thorne wrote:
>
> Jaco van Gorkom wrote:
>
>> Just out of curiosity: did you create this little puzzle just to test
>> our
>> brain cells, or is there a real-world application for this problem?
>
> It is a real world problem, believe it or not! We have a number of
> observational parameters which we wish to regress against possible
> modelled causes in a system containing "noise". Output from this
> regression is effectively a cloud of potential solution points, an
> n-dimensional PDF (probability density function) ellipsoid. Previously
> we have only considered ellipsoids as single pieces of data. However, in
> this system we wish to assess the consistency of the model system and
> therefore need to intercompare m n-dimensional ellipsoids (where m
> distinct realisations are made through the regression analysis).
> Effectively we need to set up a system whereby the null hypothesis is
> that all m fields gained are equivalent (are sub-sampled from some true
> population). To gain a quantitative measure of this statistic it is
> required to integrate the fields over the n-dimensional phase space
> which is common to the m fields and gain the maximum probability
> function from the m fields for this integral. Maximum because the
> ellipsoids are not expected to have equal variance, distributions or
> orientation in the regression phase space.
>
> Well, you did ask ...

Aha, I see.
Let me just compliment you on the excellent description of the
essentials
which you gave in the original post.
Now, as for your notion of "real world"..... :-)

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[Message index]

		Re: Help setting up an array By: Pavel A. Romashkin on Fri, 30 March 2001 08:32
		Re: Help setting up an array By: davidf on Thu, 29 March 2001 13:56
		Re: Help setting up an array By: Craig Markwardt on Thu, 29 March 2001 13:23
		Re: Help setting up an array By: Pavel A. Romashkin on Thu, 29 March 2001 09:31
		Re: Help setting up an array By: Pavel A. Romashkin on Thu, 29 March 2001 09:25
		Re: Help setting up an array By: John-David T. Smith on Thu, 29 March 2001 08:47
		Re: Help setting up an array By: Jaco van Gorkom on Thu, 29 March 2001 07:33
		Re: Help setting up an array By: davidf on Thu, 29 March 2001 07:34
		Re: Help setting up an array By: Peter Thorne on Thu, 29 March 2001 06:58
		Re: Help setting up an array By: Jaco van Gorkom on Thu, 29 March 2001 03:16
		Re: Help setting up an array By: Martin Schultz on Thu, 29 March 2001 01:33
		Re: Help setting up an array By: Peter Thorne on Thu, 29 March 2001 00:47
		Re: Help setting up an array By: davidf on Wed, 28 March 2001 20:11
		Re: Help setting up an array By: John-David T. Smith on Wed, 28 March 2001 19:56
		Re: Help setting up an array By: Craig Markwardt on Wed, 28 March 2001 14:49
		Re: Help setting up an array By: John-David T. Smith on Wed, 28 March 2001 14:16
		Re: Help setting up an array By: Peter Thorne on Wed, 28 March 2001 13:54
		Re: Help setting up an array By: Paul van Delst on Wed, 28 March 2001 09:51
		Re: Help setting up an array By: Mark Fardal on Wed, 28 March 2001 10:11
		Re: Help setting up an array By: Pavel A. Romashkin on Wed, 28 March 2001 09:25

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