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Subject: Re: Are we ignoring basic math & statistics

Author: José Carlos

Date: 10:28:19 10/25/01

Go up one level in this thread


On October 25, 2001 at 11:30:04, Christophe Theron wrote:

>On October 25, 2001 at 07:39:46, José Carlos wrote:
>
>>On October 25, 2001 at 06:57:29, Mike Hood wrote:
>>
>>>On October 24, 2001 at 22:03:49, Stephen A. Boak wrote:
>>>
>>>>On October 24, 2001 at 11:43:18, Joshua Lee wrote:
>>>>
>>>>>For Starters If Deep Fritz were that Magical 2700+ number Like the SSDF Claims
>>>>>Then Huebner wouldn't have Drawn Every Game of their 6 game Match
>>>>>Secondly With All Do Respect No Commercial Program Has Played As Many Humans As
>>>>>The Deep Thought/Blue Programs and Also The Number of Games Vs. Rating Average
>>>>>Is Unequal (Not as many games as Deep Thought) If you Suggest that programs are
>>>>>So Strong why Then Hasn't One of the Top Commercial's Put up so much Money as to
>>>>>Play Against a Top 10 Opponent and Not a Couple of Unknowns?
>>>>>
>>>>>Tiger Didn't Beat All GM's and I don't think they were very Strong GM's someone
>>>>>even mentioned that Tiger was Lost in One Position. That may not say Much but I
>>>>>would Consider Rebel's Achievement or Deep Junior's Much More Impressive.
>>>>>Rebel because of So many Games against Strong and well Known GM's Like Rhode and
>>>>>Scherbakov  and Deep Junior for Beating GM Leko and Heubner , Drawing Everyone
>>>>>else Besides Kramnik and Lautier.
>>>>>
>>>>>8 Games are not really enough and 1 Tournament By no means makes a Computer a GM
>>>>>, They Can't Get The Title anyway, I would Like for this to be a possibility
>>>>>Then maybe someone would Try for their program to get it and we could Look to
>>>>>FIDE instead of SSDF .   I hate that the list should be lowered by upto 200
>>>>>points even by their own estimate the link is on their page.
>>>>>
>>>>>Another thing Tiger's Rating On an 866 Compared to the Speed Difference of the
>>>>>SSDF would Still Point to the SSDF's Given Rating for Tiger to be Wrong.
>>>>>
>>>>>Tiger is 2703 on a 1200
>>>>>While 2788 against an average 2497FIDE On a Slower 866 Hmm Somebody is wrong
>>>>>Either all those players were lying about their rating or Could it be that the
>>>>>SSDF Is Off ...
>>>>
>>>>Curiousity leads me to pose some questions to thoughtful posters:
>>>>
>>>>Ever hear of natural variation?  Do you think that a 2497 player plays at 2497
>>>>strength (whatever that means) on each move, and across each game, no matter the
>>>>day or time or opponent or how well he is feeling?
>>>>
>>>>Ever hear of the uncertainty of measurement?  What is the level of confidence
>>>>that a 2497 player is *actually* (whatever that means) a 2497 strength player?
>>>>
>>>>Can you accept random chance (natural variation) as a reason for occasional
>>>>exceptional results for programs or humans?
>>>>
>>>>Can you accept that measurements are all subject to some level of uncertainty,
>>>>some level of confidence less than certainty?
>>>>
>>>>If so, the above statement (prior poster) makes little sense.
>>>>
>>>>If not, I understand the dilemma and recommend a good introductory book on
>>>>statistics.
>>>>
>>>>Opinions are welcome, I have no problem with them.  But do posters investigate
>>>>and try to learn about the subject they comment on, or are they curious to
>>>>discover what they may be missing in their view of things?
>>>>
>>>>Math is not a solution to everything.  It is an often useful tool.  It both has
>>>>its uses and its limitations.  But to ignore it completely seems silly.  Do
>>>>posters know they ignore some basic uses of math (often statistics) when they
>>>>post?  Do they care?
>>>>
>>>>Just curious.
>>>>
>>>>--Steve
>>>
>>>Thanks, Steve. I often have thoughts like yours when I read posts with titles
>>>like "Beowulf is better than Deep Fritz on a 1.6 Ghz PC".
>>>
>>>What is the statistical background of the ELO rating system?
>>
>>  As I've asked some times: is there a good mathematical way to measure
>>'strength'? What is 'strength' actually? Can anyone give a precise definition of
>>'strength'? Without such a precise definition we can't draw any conclusion at
>>all about players' strength. And if we want to draw mathematical conclusions, we
>>need a mathematical definition.
>>  IMO, measuring ELO rating (which is defined by a mathematical formula) is very
>>different of measuring 'strength'.
>
>
>
>Strength is very clearly defined by the elo system. At least "relative strength
>inside a pool of given players".
>
>If you have a better definition (as you do not seem to be convinced by the Elo
>definition), feel free to submit yours...

>    Christophe

  I wish I had one, but I don't. As you said, Elo provides a good [enough]
definition of "relative strength inside a pool of given players". That shows
exactly the point I try to make: we can measure _realive_strength_ and
_inside_a_pool_. And even that is debatable, because we are saying
strength = results.
  Ok, it's fine way to do it.
  But it seems that some people talk about "absolute strength", and for that, we
don't have a definition, AFAIK.

  José C.



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