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Subject: Re: how not to calculate performance

Author: Sune Fischer

Date: 16:17:19 11/02/04

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On November 02, 2004 at 16:44:17, James T. Walker wrote:

>On November 02, 2004 at 08:22:10, Sune Fischer wrote:
>
>>On November 02, 2004 at 07:42:24, James T. Walker wrote:
>>
>>>Just plot a graph with 999 data points all with a value of zero.  Then plot
>>>another graph of 1000 data points  all with a value of zero.  Then compare the
>>>difference.
>>>Jim
>>
>>Ratings can become negative, so zero is not the lowest rating possible you can
>>get. Zero is actually an arbitrary number you just picked out of nowhere, you
>>might as well have said -1000.
>>
>>The proof of this is easy, even without knowing the formula. Just consider the
>>1400 guy and someone who is 400 ELO weaker, then consider one that is 400 ELO
>>weaker than him and so on, you quickly get negative ratings.
>>
>>I don't know what the lowest rating is, even if you assume perfectly worst play
>>your opponent might also be playing perfectly bad or close enough to that so you
>>don't lose every time.
>>You can thus never get an expected score of 0 and an equivalent rating of
>>-infinity.
>>
>>-S.
>
>What is your point?

To inform you that zero is arbitraty value, and that it isn't constant because
even if his rating is 0 his expected score will be higher than 0.
So he will lose rating if he doesn't score anything.

-S.



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