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# Spring Allegro 2020

Spring Allegro 2020 has finished:

2-3. Fred Flatow, Arman Monir – 5.0

See the full results.

I have been calculating the Improvement Score – an experimental metric that is intended to possibly replace the rating category prizes.
It’s just the mean (over the number of played games) of differences between the real and expected results based on the players’ ratings.

Here is the calculation for this tournament:

Basically, a positive score means that the player performed better than their rating suggests, and vice versa. The higher is the better, apparently.
This way we wouldn’t need to create rating categories and allocate prizes in them, which is good as we don’t have actual separate tournaments for the rating categories.

Alexandre Merhi would win this “Improvement” prize if we introduced it.
His 0.22 result means that he gained 22% more points than expected in average.

The following is the detailed calculation for each player, just for reference. Also, see some explanation below.

——- Dib,Michel (1796) ——–
Round 1 vs Ahmed,Zafar: 0.000000 – 0.227871 = -0.227871.
Round 2 vs Merhi,Alexandre: 0.000000 – 0.798315 = -0.798315.
Round 3 vs Ullah,Sami: 1.000000 – 0.963576 = 0.036424.
Round 4 vs Flatow,A (Fred): 1.000000 – 0.065760 = 0.934240.
Round 5 vs Monir,Arman: 0.000000 – 0.059351 = -0.059351.
Round 6 vs Allison,Graham: 0.000000 – 0.544495 = -0.544495.
Round 7 vs Dragalchuk,Vladislav: 0.000000 – 0.261891 = -0.261891.
improvement score = -0.921258, rated games = 7, eligibility criteria met = yes, mean improvement score = -0.131608

——- Merhi,Alexandre (1557) ——–
Round 1 vs Dragalchuk,Vladislav: 0.000000 – 0.082265 = -0.082265.
Round 2 vs Dib,Michel: 1.000000 – 0.201685 = 0.798315.
Round 3 vs Ahmed,Zafar: 0.000000 – 0.069386 = -0.069386.
Round 4 vs Ullah,Sami: 1.000000 – 0.869850 = 0.130150.
Round 5 vs Flatow,A (Fred): 0.000000 – 0.017472 = -0.017472.
Round 6 vs Monir,Arman: 0.000000 – 0.015690 = -0.015690.
Round 7 vs Allison,Graham: 1.000000 – 0.231948 = 0.768052.
improvement score = 1.511703, rated games = 7, eligibility criteria met = yes, mean improvement score = 0.215958

——- Ullah,Sami (1227) ——–
Round 1 vs Allison,Graham: 0.000000 – 0.043232 = -0.043232.
Round 2 vs Dragalchuk,Vladislav: 0.000000 – 0.013235 = -0.013235.
Round 3 vs Dib,Michel: 0.000000 – 0.036424 = -0.036424.
Round 4 vs Merhi,Alexandre: 0.000000 – 0.130150 = -0.130150.
Round 5 vs Ahmed,Zafar: 0.000000 – 0.011033 = -0.011033.
Round 6 vs Flatow,A (Fred): 0.000000 – 0.002654 = -0.002654.
Round 7 vs Monir,Arman: 0.000000 – 0.002379 = -0.002379.
improvement score = -0.239106, rated games = 7, eligibility criteria met = yes, mean improvement score = -0.034158

——- Flatow,A (Fred) (2257) ——–
Round 1 vs Monir,Arman: 1.000000 – 0.472684 = 0.527316.
Round 2 vs Allison,Graham: 1.000000 – 0.944390 = 0.055610.
Round 3 vs Dragalchuk,Vladislav: 0.000000 – 0.834459 = -0.834459.
Round 4 vs Dib,Michel: 0.000000 – 0.934240 = -0.934240.
Round 5 vs Merhi,Alexandre: 1.000000 – 0.982528 = 0.017472.
Round 6 vs Ullah,Sami: 1.000000 – 0.997346 = 0.002654.
Round 7 vs Ahmed,Zafar: 1.000000 – 0.807424 = 0.192576.
improvement score = -0.973072, rated games = 7, eligibility criteria met = yes, mean improvement score = -0.139010

——- Monir,Arman (2276) ——–
Round 1 vs Flatow,A (Fred): 0.000000 – 0.527316 = -0.527316.
Round 2 vs Ahmed,Zafar: 1.000000 – 0.823862 = 0.176138.
Round 3 vs Allison,Graham: 1.000000 – 0.949863 = 0.050137.
Round 4 vs Dragalchuk,Vladislav: 0.000000 – 0.849020 = -0.849020.
Round 5 vs Dib,Michel: 1.000000 – 0.940649 = 0.059351.
Round 6 vs Merhi,Alexandre: 1.000000 – 0.984310 = 0.015690.
Round 7 vs Ullah,Sami: 1.000000 – 0.997621 = 0.002379.
improvement score = -1.072640, rated games = 7, eligibility criteria met = yes, mean improvement score = -0.153234

——- Allison,Graham (1765) ——–
Round 1 vs Ullah,Sami: 1.000000 – 0.956768 = 0.043232.
Round 2 vs Flatow,A (Fred): 0.000000 – 0.055610 = -0.055610.
Round 3 vs Monir,Arman: 0.000000 – 0.050137 = -0.050137.
Round 4 vs Ahmed,Zafar: 0.000000 – 0.198003 = -0.198003.
Round 5 vs Dragalchuk,Vladislav: 1.000000 – 0.228886 = 0.771114.
Round 6 vs Dib,Michel: 1.000000 – 0.455505 = 0.544495.
Round 7 vs Merhi,Alexandre: 0.000000 – 0.768052 = -0.768052.
improvement score = 0.287038, rated games = 7, eligibility criteria met = yes, mean improvement score = 0.041005

Round 1 vs Merhi,Alexandre: 1.000000 – 0.917735 = 0.082265.
Round 2 vs Ullah,Sami: 1.000000 – 0.986765 = 0.013235.
Round 3 vs Flatow,A (Fred): 1.000000 – 0.165541 = 0.834459.
Round 4 vs Monir,Arman: 1.000000 – 0.150980 = 0.849020.
Round 5 vs Allison,Graham: 0.000000 – 0.771114 = -0.771114.
Round 6 vs Ahmed,Zafar: 0.500000 – 0.454078 = 0.045922.
Round 7 vs Dib,Michel: 1.000000 – 0.738109 = 0.261891.
improvement score = 1.315678, rated games = 7, eligibility criteria met = yes, mean improvement score = 0.187954

——- Ahmed,Zafar (2008) ——–
Round 1 vs Dib,Michel: 1.000000 – 0.772129 = 0.227871.
Round 2 vs Monir,Arman: 0.000000 – 0.176138 = -0.176138.
Round 3 vs Merhi,Alexandre: 1.000000 – 0.930614 = 0.069386.
Round 4 vs Allison,Graham: 1.000000 – 0.801997 = 0.198003.
Round 5 vs Ullah,Sami: 1.000000 – 0.988967 = 0.011033.
Round 6 vs Dragalchuk,Vladislav: 0.500000 – 0.545922 = -0.045922.
Round 7 vs Flatow,A (Fred): 0.000000 – 0.192576 = -0.192576.
improvement score = 0.091657, rated games = 7, eligibility criteria met = yes, mean improvement score = 0.013094

Here, for each game, 1.000000 means a win, 0.500000 means a draw, and 0.000000 means a loss. This is the real player’s score in the game. An expected score based on rating difference between the players is subtracted from the real score, and the result is the improvement score for this game.
For instance, Round 6 calculation for Ahmed, Zafar:
Round 6 vs Dragalchuk,Vladislav: 0.500000 – 0.545922 = -0.045922.
0.500000 means a draw. The Zafar’s rating is a little bit higher, so his improvement score for this game is negative.