Statistically excellent openings

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Yigor

This is a derived thread from our previous calculations with Differentiation2:

https://www.chess.com/forum/view/chess-openings/statistically-correct-moves-and-openings

We consider the chesstempo database and openings with 100+ master games.

 

Definition 3. A statistically correct move m : X->Y is called statistically excellent if it has the best evaluations among other moves from a position X to a position Y. In addition, we require that the total sharpness sh=sh1+sh2 >= 1.25. An opening is statistically excellent for (white/black) if all (white/black) moves satisfy these conditions.

 

Big surprises arise from the very beginning: KP 1. e4 is not statistically excellent and not even statistically good. blitz.png

 

Statistically excellent moves:

  • IP (ev=+0.39) --> 1. c4 English (ev=+0.48), sh1=0.92, sh2=0.71
  • IP (ev=+0.39) --> 1. Nf3 Réti (ev=+0.47), sh1=0.80, sh2=0.54
  • IP (ev=+0.39) --> 1. d4 QP (ev=+0.46), sh1=0.88, sh2=0.60
  • 1. e4 KP (ev=+0.30) --> 1...c5 Sicilian (ev=+0.19), sh1=0.94, sh2=0.79
  • 1. e4 KP (ev=+0.30) --> 1...g6 KP: Modern (ev=+0.24), sh1=1.14, sh2=0.92
  • 1. d4 QP (ev=+0.46) --> 1...d6 Löwe (ev=+0.32), sh1=0.98, sh2=0.74
  • 1. Nf3 Réti (ev=+0.47) --> 1...g6 Réti: KF (ev=+0.17), sh1=0.87, sh2=0.75
  • 1. c4 English (ev=+0.48) --> 1...b6 English: QF (ev=+0.05), sh1=0.97, sh2=0.92
  • 1. g3 Benko (ev=+0.42) --> 1...e5 Benko: KP (ev=+0.16), sh1=0.92, sh2=0.79
Yigor

N.B. 1. d4 and 1. g3 are not far from being statistically excellent but 1. e4 is definitely not. blitz.pngtongue.pngwink.png

 

P.S. With our modified definitions and more accurate calculations, 1. d4 became statistically excellent!

savagechess2k

How can I calculate these by myself? ( I use the chessgames.com database. )

ponz111

In my next life i am going to play 1. d4 and/or 1. Nf3 and sometimes 1. c4.

 No more 1. e4... [not even the Ponziani]

Yigor
savagechess2k wrote:

How can I calculate these by myself? ( I use the chessgames.com database. )

 

The formulas are written here:

https://www.chess.com/forum/view/chess-openings/statistical-sharpness-and-evaluation

Example 1. 1.e4, W/D/B = 38/32/30 %, ev(1. e4) = (38/30)-1 = +0.27.

Example 2. 1. f4, W/D/B = 33/25/42 %, ev(1. f4) = 1-(42/33) = -0.27.

The statistical evaluation just expresses how big/small are the ratios of white and black wins. happy.png

Yigor
ponz111 wrote:

In my next life i am going to play 1. d4 and/or 1. Nf3 and sometimes 1. c4.

 No more 1. e4... [not even the Ponziani]

 

LoL U should be a perfectionist. wink.png

Yigor

I modified the definition requiring that sh >= 1.25 (instead of sh >=1.5), it seems more reasonable.