🚀 go-pugleaf

RetroBBS NetNews Server

Inspired by RockSolid Light RIP Retro Guy

Article View: sci.engr.control
Article #131

Planning of Experiments

#131
From: Staffan Asplund AT
Date: Wed, 18 Nov 1992 08:43
52 lines
2609 bytes
Crossposted to sci.engr.chem  and sci.engr.control


Hello Engineers,

I tried to ask the mathematicians in sci.math.stat about experimental 
planning, but I did get answers on a *very* theoretical level.

I would like to use a test plan optimized so that the covariance 
between the variables is as low as possible, becouse I have no 
information about the nonlinear modelstructure  that will describe
the system in the best way.  What do You think about that choise?

If the modelstructure is known a good criteria is the D-critera
( Some feedback from Don Ramirez Univ of Virginia:
>The D-optimality criterion is based on the product of the
>eigenvalues of (X'X)**(-1) and is small when only one of these
>eigenvalues are small.
>	A new criterion is based on the mean standard error of a random
>test of u'b; that is the expectation over the unit sphere of a random
>linear inference. This problem has been recently solved by Charles Dunkl
> and Don Ramirez of the University of Virginia and will appear in The
>Transactions of Mathematical Software ACM. 
)


MY QUESTIONS:

1. References or comments on giving low covariance between independent 
   variables in a testplan high priority ?

2. What's Your criteria when planning tests for unknown modelstructures? 



Post or mail, whatever You prefer.
I will summarize Your comments if they are many and 
not posted to the newsgroup.

All comments appreciated,
Staffan

        
 ----------------------------------------------------------------------------
 -               Project researcher / Environmental Engineering             -   
 ----------------------------------------------------------------------------
 -  Staffan Asplund                  -              email sasplund@abo.fi   -
 -  Process Design Lab.              -              phone +358-21-654552    -
 -  Abo Akademi University           -              ph. home  921-882744    -
 -  Finland                          -              fax   +358-21-654791    -
 ---------------------------------------------------------------------------- 
Technical Details
Message-ID: <1992Nov18.084349.10973@abo.fi>
Path: arc1-ca.pugleaf.net!sparky!uunet!usc!zaphod.mps.ohio-state.edu!darwin.sura.net!Sirius.dfn.de!mailgzrz.TU-Berlin.DE!news.netmbx.de!Germany.EU.net!mcsun!news.funet.fi!aton.abo.fi!usenet

Show Full Headers
Complete Article Headers
Newsgroups: sci.engr.control
Path: arc1-ca.pugleaf.net!sparky!uunet!usc!zaphod.mps.ohio-state.edu!darwin.sura.net!Sirius.dfn.de!mailgzrz.TU-Berlin.DE!news.netmbx.de!Germany.EU.net!mcsun!news.funet.fi!aton.abo.fi!usenet
From: SASPLUND@finabo.abo.fi (Staffan Asplund AT)
Subject: Planning of Experiments
Message-ID: <1992Nov18.084349.10973@abo.fi>
Sender: usenet@abo.fi (Usenet NEWS)
Organization: Abo Akademi University, Finland
Date: Wed, 18 Nov 1992 08:43:49 GMT
X-News-Reader: VMS NEWS 1.23
Lines: 54