Re: Help setting up an array

[Jaco van Gorkom <j.c.van.gorkom(at)fz-juelich.de>]

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".....     :-)