indicators of statistical properties

[Leonard Soicher]

On Mon, Aug 04, 2003 at 06:49:36PM +0100, Peter Dobcsanyi wrote:
> On Mon, Aug 04, 2003 at 08:43:20AM -0400, John P. Morgan wrote:
> while talking about partial_balance_properties
> 
> > Leonard and Peter D, would you like to weigh in on this? 
> 
> I don't know enough about things related to partial balance, so I let
> the decision to the experts.
> 
> However, there must be a very good reason to lift something to the top
> level.  We cannot use this as a general remedy in every case when there
> is no clear agreement where to put something in the already existing
> main categories. I mention this since I anticipate similar issues to
> surface during the debate.
> 

I take Peter D's point here. And my natural inclination would be to put
partial blalance properties at the same level as t-design properties
under combinatorial properties. For me, the properties of a partially
balanced design that are of interest are those of its related association
scheme(s).  But this may reflect my ignorance of statistical matters.

BTW, I anticipate there will be users of our database interested only
in the association nschemes in the database (as there may be users
interested only in the permutation groups).

Leonard