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Subject: Cadaques Tournament - Some Statistics

Author: Frank Schubert

Date: 12:03:26 01/15/00


Hi everybody,

40 games played by each program so far. Time to make some first statistics
of Enriques superb tournament:

<pre>

General Statistics:

Games        : 140

White Wins   : 49 (35.0 %)
Black Wins   : 30 (21.4 %)
Draws        : 61 (43.6 %)

White Perf.  : 56.8 %
Black Perf.  : 43.2 %

ECO A =     14 Games (10.0 %)
ECO B =     35 Games (25.0 %)
ECO C =     17 Games (12.1 %)
ECO D =     41 Games (29.3 %)
ECO E =     33 Games (23.6 %)


Rating List:


    Program                Elo    +   -   Games   Score   Av.Op.  Draws

  1 Junior 6.0           : 2665  101  74    40    60.0 %   2594   45.0 %
  2 Fritz 6a             : 2641   96  86    40    63.7 %   2542   37.5 %
  3 Hiarcs 7.32          : 2615  111  75    40    52.5 %   2597   40.0 %
  4 Rebel-Tiger 12.0e    : 2598  106  59    40    56.2 %   2554   57.5 %
  5 Shredder 4           : 2597   80 106    40    43.8 %   2640   37.5 %
  6 Nimzo 7.32           : 2592   76 102    40    41.2 %   2653   42.5 %
  7 Century              : 2493   78  92    40    32.5 %   2619   45.0 %

</pre>

Shredder and Nimzo had the strongest opponents so far. Most of the draws
were played by Tiger (proportion 57.5 %).

Elo calculation was done by iteration algorithm.
Margins of error roughly between 60 and 110 Elo's (given with 95 % confidence).
Distance between Junior and Nimzo is only 73 points. That means nearly
everything can happen during the next rounds. Only Century seems to be
"out of race", but compare the upper margin of Century (2493+78 = 2571) with
the lower margin of Fritz (2641-86 = 2555) and you see that Century can
still hope to reach a better rank.
Also consider the fact that for halving the error margins four times as much
games are necessary. Therefore I expect the margins to be slightly above
50 Elo's at the end of the tournament (120 games for each program).

Finally the single statistics:

<pre>

(1) Junior 6.0                :  40 (+ 15,= 18,-  7), 60.0 %

Shredder 4                    :  20 (+  6,= 10,-  4), 55.0 %
Nimzo 7.32                    :  20 (+  9,=  8,-  3), 65.0 %


(2) Fritz 6a                  :  40 (+ 18,= 15,-  7), 63.8 %

Nimzo 7.32                    :  20 (+  6,=  9,-  5), 52.5 %
Century                       :  20 (+ 12,=  6,-  2), 75.0 %


(3) Hiarcs 7.32               :  40 (+ 13,= 16,- 11), 52.5 %

Shredder 4                    :  20 (+  9,=  5,-  6), 57.5 %
Rebel-Tiger 12.0e             :  20 (+  4,= 11,-  5), 47.5 %


(4) Rebel-Tiger 12.0e         :  40 (+ 11,= 23,-  6), 56.2 %

Century                       :  20 (+  6,= 12,-  2), 60.0 %
Hiarcs 7.32                   :  20 (+  5,= 11,-  4), 52.5 %


(5) Shredder 4                :  40 (+ 10,= 15,- 15), 43.8 %

Junior 6.0                    :  20 (+  4,= 10,-  6), 45.0 %
Hiarcs 7.32                   :  20 (+  6,=  5,-  9), 42.5 %


(4) Nimzo 7.32                :  40 (+  8,= 17,- 15), 41.2 %

Junior 6.0                    :  20 (+  3,=  8,-  9), 35.0 %
Fritz 6a                      :  20 (+  5,=  9,-  6), 47.5 %


(6) Century                   :  40 (+  4,= 18,- 18), 32.5 %

Fritz 6a                      :  20 (+  2,=  6,- 12), 25.0 %
Rebel-Tiger 12.0e             :  20 (+  2,= 12,-  6), 40.0 %

</pre>


Source: ELOStat 1.0


If you found the results interesting I will post the new table after each round.

Frank




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