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Created page with "'''Home * Engine Testing * Match Statistics * LOS Table''' After a tournament between two engines is over one can deduct the Match Statistics#Likelih..."
'''[[Main Page|Home]] * [[Engine Testing]] * [[Match Statistics]] * LOS Table'''
After a tournament between two engines is over one can deduct the [[Match Statistics#Likelihood of superiority|likelihood of superiority]] <ref>[http://www.talkchess.com/forum/viewtopic.php?t=30624 Likelihood of superiority] by [[Marco Costalba]], [[CCC]], November 15, 2009</ref> of one engine over the other by consulting the following table. The first column gives the score difference (wins - losses), the next columns give the LOS for a certain number of games. The table was calculated for a draw ratio of 32%.
=Table=
{| class="wikitable"
|-
!
! 10
! 50
! 100
! 200
! 500
! 1000
|-
! 0
| style="text-align:center;" | 50.00%
| style="text-align:center;" | 50.00%
| style="text-align:center;" | 50.00%
| style="text-align:center;" | 50.00%
| style="text-align:center;" | 50.00%
| style="text-align:center;" | 50.00%
|-
! 1
| style="text-align:center;" | 64.51%
| style="text-align:center;" | 56.77%
| style="text-align:center;" | 54.81%
| style="text-align:center;" | 53.41%
| style="text-align:center;" | 52.16%
| style="text-align:center;" | 51.53%
|-
! 2
| style="text-align:center;" | 77.22%
| style="text-align:center;" | 63.34%
| style="text-align:center;" | 59.55%
| style="text-align:center;" | 56.80%
| style="text-align:center;" | 54.32%
| style="text-align:center;" | 53.06%
|-
! 3
| style="text-align:center;" | 86.95%
| style="text-align:center;" | 69.55%
| style="text-align:center;" | 64.16%
| style="text-align:center;" | 60.14%
| style="text-align:center;" | 56.46%
| style="text-align:center;" | 54.58%
|-
! 4
| style="text-align:center;" | 93.43%
| style="text-align:center;" | 75.24%
| style="text-align:center;" | 68.57%
| style="text-align:center;" | 63.40%
| style="text-align:center;" | 58.58%
| style="text-align:center;" | 56.09%
|-
! 5
| style="text-align:center;" | 97.14%
| style="text-align:center;" | 80.32%
| style="text-align:center;" | 72.73%
| style="text-align:center;" | 66.57%
| style="text-align:center;" | 60.68%
| style="text-align:center;" | 57.60%
|-
! 6
| style="text-align:center;" | 98.95%
| style="text-align:center;" | 84.71%
| style="text-align:center;" | 76.60%
| style="text-align:center;" | 69.63%
| style="text-align:center;" | 62.75%
| style="text-align:center;" | 59.10%
|-
! 7
| style="text-align:center;" | 99.68%
| style="text-align:center;" | 88.40%
| style="text-align:center;" | 80.14%
| style="text-align:center;" | 72.55%
| style="text-align:center;" | 64.78%
| style="text-align:center;" | 60.58%
|-
! 8
| style="text-align:center;" | 99.93%
| style="text-align:center;" | 91.41%
| style="text-align:center;" | 83.34%
| style="text-align:center;" | 75.33%
| style="text-align:center;" | 66.77%
| style="text-align:center;" | 62.05%
|-
! 9
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 93.80%
| style="text-align:center;" | 86.19%
| style="text-align:center;" | 77.96%
| style="text-align:center;" | 68.72%
| style="text-align:center;" | 63.50%
|-
! 10
| style="text-align:center;" | 100.00%
| style="text-align:center;" | 95.64%
| style="text-align:center;" | 88.69%
| style="text-align:center;" | 80.41%
| style="text-align:center;" | 70.61%
| style="text-align:center;" | 64.93%
|-
! 11
| style="text-align:center;" |
| style="text-align:center;" | 97.02%
| style="text-align:center;" | 90.85%
| style="text-align:center;" | 82.69%
| style="text-align:center;" | 72.45%
| style="text-align:center;" | 66.34%
|-
! 12
| style="text-align:center;" |
| style="text-align:center;" | 98.01%
| style="text-align:center;" | 92.68%
| style="text-align:center;" | 84.80%
| style="text-align:center;" | 74.23%
| style="text-align:center;" | 67.73%
|-
! 13
| style="text-align:center;" |
| style="text-align:center;" | 98.71%
| style="text-align:center;" | 94.23%
| style="text-align:center;" | 86.72%
| style="text-align:center;" | 75.95%
| style="text-align:center;" | 69.09%
|-
! 14
| style="text-align:center;" |
| style="text-align:center;" | 99.19%
| style="text-align:center;" | 95.50%
| style="text-align:center;" | 88.48%
| style="text-align:center;" | 77.60%
| style="text-align:center;" | 70.43%
|-
! 15
| style="text-align:center;" |
| style="text-align:center;" | 99.50%
| style="text-align:center;" | 96.54%
| style="text-align:center;" | 90.06%
| style="text-align:center;" | 79.19%
| style="text-align:center;" | 71.74%
|-
! 16
| style="text-align:center;" |
| style="text-align:center;" | 99.71%
| style="text-align:center;" | 97.37%
| style="text-align:center;" | 91.48%
| style="text-align:center;" | 80.71%
| style="text-align:center;" | 73.02%
|-
! 17
| style="text-align:center;" |
| style="text-align:center;" | 99.83%
| style="text-align:center;" | 98.03%
| style="text-align:center;" | 92.74%
| style="text-align:center;" | 82.16%
| style="text-align:center;" | 74.27%
|-
! 18
| style="text-align:center;" |
| style="text-align:center;" | 99.91%
| style="text-align:center;" | 98.55%
| style="text-align:center;" | 93.85%
| style="text-align:center;" | 83.54%
| style="text-align:center;" | 75.49%
|-
! 19
| style="text-align:center;" |
| style="text-align:center;" | 99.95%
| style="text-align:center;" | 98.94%
| style="text-align:center;" | 94.82%
| style="text-align:center;" | 84.85%
| style="text-align:center;" | 76.68%
|-
! 20
| style="text-align:center;" |
| style="text-align:center;" | 99.97%
| style="text-align:center;" | 99.24%
| style="text-align:center;" | 95.67%
| style="text-align:center;" | 86.08%
| style="text-align:center;" | 77.84%
|-
! 21
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.46%
| style="text-align:center;" | 96.41%
| style="text-align:center;" | 87.25%
| style="text-align:center;" | 78.96%
|-
! 22
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.62%
| style="text-align:center;" | 97.03%
| style="text-align:center;" | 88.35%
| style="text-align:center;" | 80.05%
|-
! 23
| style="text-align:center;" |
| style="text-align:center;" | 100.00%
| style="text-align:center;" | 99.74%
| style="text-align:center;" | 97.57%
| style="text-align:center;" | 89.38%
| style="text-align:center;" | 81.11%
|-
! 24
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.82%
| style="text-align:center;" | 98.02%
| style="text-align:center;" | 90.34%
| style="text-align:center;" | 82.12%
|-
! 25
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.88%
| style="text-align:center;" | 98.40%
| style="text-align:center;" | 91.23%
| style="text-align:center;" | 83.11%
|-
! 26
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.92%
| style="text-align:center;" | 98.71%
| style="text-align:center;" | 92.07%
| style="text-align:center;" | 84.06%
|-
! 27
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.95%
| style="text-align:center;" | 98.97%
| style="text-align:center;" | 92.84%
| style="text-align:center;" | 84.97%
|-
! 28
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.97%
| style="text-align:center;" | 99.18%
| style="text-align:center;" | 93.55%
| style="text-align:center;" | 85.85%
|-
! 29
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
| style="text-align:center;" | 99.36%
| style="text-align:center;" | 94.21%
| style="text-align:center;" | 86.69%
|-
! 30
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.50%
| style="text-align:center;" | 94.81%
| style="text-align:center;" | 87.50%
|-
! 31
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.61%
| style="text-align:center;" | 95.36%
| style="text-align:center;" | 88.27%
|-
! 32
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 100.00%
| style="text-align:center;" | 99.70%
| style="text-align:center;" | 95.86%
| style="text-align:center;" | 89.01%
|-
! 33
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.77%
| style="text-align:center;" | 96.32%
| style="text-align:center;" | 89.71%
|-
! 34
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.82%
| style="text-align:center;" | 96.74%
| style="text-align:center;" | 90.38%
|-
! 35
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.87%
| style="text-align:center;" | 97.11%
| style="text-align:center;" | 91.02%
|-
! 36
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.90%
| style="text-align:center;" | 97.45%
| style="text-align:center;" | 91.62%
|-
! 37
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.93%
| style="text-align:center;" | 97.76%
| style="text-align:center;" | 92.20%
|-
! 38
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.95%
| style="text-align:center;" | 98.03%
| style="text-align:center;" | 92.74%
|-
! 39
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.96%
| style="text-align:center;" | 98.28%
| style="text-align:center;" | 93.26%
|-
! 40
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.97%
| style="text-align:center;" | 98.50%
| style="text-align:center;" | 93.74%
|-
! 41
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
| style="text-align:center;" | 98.69%
| style="text-align:center;" | 94.20%
|-
! 42
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
| style="text-align:center;" | 98.86%
| style="text-align:center;" | 94.63%
|-
! 43
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.02%
| style="text-align:center;" | 95.04%
|-
! 44
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.15%
| style="text-align:center;" | 95.42%
|-
! 45
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.27%
| style="text-align:center;" | 95.78%
|-
! 46
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 100.00%
| style="text-align:center;" | 99.37%
| style="text-align:center;" | 96.11%
|-
! 47
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.46%
| style="text-align:center;" | 96.42%
|-
! 48
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.54%
| style="text-align:center;" | 96.72%
|-
! 49
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.61%
| style="text-align:center;" | 96.99%
|-
! 50
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.67%
| style="text-align:center;" | 97.24%
|-
! 51
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.72%
| style="text-align:center;" | 97.47%
|-
! 52
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.76%
| style="text-align:center;" | 97.69%
|-
! 53
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.80%
| style="text-align:center;" | 97.89%
|-
! 54
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.83%
| style="text-align:center;" | 98.08%
|-
! 55
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.86%
| style="text-align:center;" | 98.25%
|-
! 56
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.88%
| style="text-align:center;" | 98.41%
|-
! 57
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.90%
| style="text-align:center;" | 98.56%
|-
! 58
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.92%
| style="text-align:center;" | 98.69%
|-
! 59
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.93%
| style="text-align:center;" | 98.82%
|-
! 60
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.94%
| style="text-align:center;" | 98.93%
|-
! 61
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.95%
| style="text-align:center;" | 99.03%
|-
! 62
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.96%
| style="text-align:center;" | 99.13%
|-
! 63
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.97%
| style="text-align:center;" | 99.22%
|-
! 64
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.97%
| style="text-align:center;" | 99.29%
|-
! 65
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
| style="text-align:center;" | 99.37%
|-
! 66
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
| style="text-align:center;" | 99.43%
|-
! 67
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.49%
|-
! 68
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.54%
|-
! 69
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.59%
|-
! 70
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.64%
|-
! 71
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.68%
|-
! 72
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 100.00%
| style="text-align:center;" | 99.71%
|-
! 73
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.74%
|-
! 74
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.77%
|-
! 75
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.80%
|-
! 76
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.82%
|-
! 77
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.84%
|-
! 78
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.86%
|-
! 79
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.88%
|-
! 80
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.89%
|-
! 81
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.91%
|-
! 82
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.92%
|-
! 83
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.93%
|-
! 84
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.94%
|-
! 85
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.94%
|-
! 86
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.95%
|-
! 87
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.96%
|-
! 88
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.96%
|-
! 89
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.97%
|-
! 90
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.97%
|-
! 91
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
|-
! 92
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
|-
! 93
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
|-
! 94
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
|-
! 95
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
|-
! 96
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
|-
! 97
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
|-
! 98
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
|-
! 99
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
|-
! 100
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
|-
! 101
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
|-
! 102
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 100.00%
|}
=Forum Posts=
* [http://www.talkchess.com/forum/viewtopic.php?t=30624 Likelihood of superiority] by [[Marco Costalba]], [[CCC]], November 15, 2009
* [http://www.talkchess.com/forum/viewtopic.php?t=45406 LOS calculation: Does the same result is always the same?] by [[Marco Costalba]], [[CCC]], October 01, 2012
* [http://www.talkchess.com/forum/viewtopic.php?t=45788 LOS (again)] by [[Ed Schroder|Ed Schröder]], [[CCC]], October 30, 2012
* [http://www.talkchess.com/forum/viewtopic.php?p=508206 Fast LOS estimation] by [[Gary Linscott|Gary]], [[CCC]], February 18, 2013
* [http://www.open-chess.org/viewtopic.php?f=5&t=2296 LOS] by [[Mark Watkins|BB+]], [[Computer Chess Forums|OpenChess Forum]], March 31, 2013
* [http://www.talkchess.com/forum/viewtopic.php?t=48863 Type I error in LOS based early stopping rule] by [[Kai Laskos]], [[CCC]], August 06, 2013 <ref>[https://en.wikipedia.org/wiki/Type_I_and_type_II_errors Type I and type II errors from Wikipedia]</ref>
=External Links=
* [https://en.wikipedia.org/wiki/Statistical_significance Statistical significance from Wikipedia]
* [https://en.wikipedia.org/wiki/P-value p-value from Wikipedia]
=References=
<references />
'''[[Match Statistics|Up one level]]'''
After a tournament between two engines is over one can deduct the [[Match Statistics#Likelihood of superiority|likelihood of superiority]] <ref>[http://www.talkchess.com/forum/viewtopic.php?t=30624 Likelihood of superiority] by [[Marco Costalba]], [[CCC]], November 15, 2009</ref> of one engine over the other by consulting the following table. The first column gives the score difference (wins - losses), the next columns give the LOS for a certain number of games. The table was calculated for a draw ratio of 32%.
=Table=
{| class="wikitable"
|-
!
! 10
! 50
! 100
! 200
! 500
! 1000
|-
! 0
| style="text-align:center;" | 50.00%
| style="text-align:center;" | 50.00%
| style="text-align:center;" | 50.00%
| style="text-align:center;" | 50.00%
| style="text-align:center;" | 50.00%
| style="text-align:center;" | 50.00%
|-
! 1
| style="text-align:center;" | 64.51%
| style="text-align:center;" | 56.77%
| style="text-align:center;" | 54.81%
| style="text-align:center;" | 53.41%
| style="text-align:center;" | 52.16%
| style="text-align:center;" | 51.53%
|-
! 2
| style="text-align:center;" | 77.22%
| style="text-align:center;" | 63.34%
| style="text-align:center;" | 59.55%
| style="text-align:center;" | 56.80%
| style="text-align:center;" | 54.32%
| style="text-align:center;" | 53.06%
|-
! 3
| style="text-align:center;" | 86.95%
| style="text-align:center;" | 69.55%
| style="text-align:center;" | 64.16%
| style="text-align:center;" | 60.14%
| style="text-align:center;" | 56.46%
| style="text-align:center;" | 54.58%
|-
! 4
| style="text-align:center;" | 93.43%
| style="text-align:center;" | 75.24%
| style="text-align:center;" | 68.57%
| style="text-align:center;" | 63.40%
| style="text-align:center;" | 58.58%
| style="text-align:center;" | 56.09%
|-
! 5
| style="text-align:center;" | 97.14%
| style="text-align:center;" | 80.32%
| style="text-align:center;" | 72.73%
| style="text-align:center;" | 66.57%
| style="text-align:center;" | 60.68%
| style="text-align:center;" | 57.60%
|-
! 6
| style="text-align:center;" | 98.95%
| style="text-align:center;" | 84.71%
| style="text-align:center;" | 76.60%
| style="text-align:center;" | 69.63%
| style="text-align:center;" | 62.75%
| style="text-align:center;" | 59.10%
|-
! 7
| style="text-align:center;" | 99.68%
| style="text-align:center;" | 88.40%
| style="text-align:center;" | 80.14%
| style="text-align:center;" | 72.55%
| style="text-align:center;" | 64.78%
| style="text-align:center;" | 60.58%
|-
! 8
| style="text-align:center;" | 99.93%
| style="text-align:center;" | 91.41%
| style="text-align:center;" | 83.34%
| style="text-align:center;" | 75.33%
| style="text-align:center;" | 66.77%
| style="text-align:center;" | 62.05%
|-
! 9
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 93.80%
| style="text-align:center;" | 86.19%
| style="text-align:center;" | 77.96%
| style="text-align:center;" | 68.72%
| style="text-align:center;" | 63.50%
|-
! 10
| style="text-align:center;" | 100.00%
| style="text-align:center;" | 95.64%
| style="text-align:center;" | 88.69%
| style="text-align:center;" | 80.41%
| style="text-align:center;" | 70.61%
| style="text-align:center;" | 64.93%
|-
! 11
| style="text-align:center;" |
| style="text-align:center;" | 97.02%
| style="text-align:center;" | 90.85%
| style="text-align:center;" | 82.69%
| style="text-align:center;" | 72.45%
| style="text-align:center;" | 66.34%
|-
! 12
| style="text-align:center;" |
| style="text-align:center;" | 98.01%
| style="text-align:center;" | 92.68%
| style="text-align:center;" | 84.80%
| style="text-align:center;" | 74.23%
| style="text-align:center;" | 67.73%
|-
! 13
| style="text-align:center;" |
| style="text-align:center;" | 98.71%
| style="text-align:center;" | 94.23%
| style="text-align:center;" | 86.72%
| style="text-align:center;" | 75.95%
| style="text-align:center;" | 69.09%
|-
! 14
| style="text-align:center;" |
| style="text-align:center;" | 99.19%
| style="text-align:center;" | 95.50%
| style="text-align:center;" | 88.48%
| style="text-align:center;" | 77.60%
| style="text-align:center;" | 70.43%
|-
! 15
| style="text-align:center;" |
| style="text-align:center;" | 99.50%
| style="text-align:center;" | 96.54%
| style="text-align:center;" | 90.06%
| style="text-align:center;" | 79.19%
| style="text-align:center;" | 71.74%
|-
! 16
| style="text-align:center;" |
| style="text-align:center;" | 99.71%
| style="text-align:center;" | 97.37%
| style="text-align:center;" | 91.48%
| style="text-align:center;" | 80.71%
| style="text-align:center;" | 73.02%
|-
! 17
| style="text-align:center;" |
| style="text-align:center;" | 99.83%
| style="text-align:center;" | 98.03%
| style="text-align:center;" | 92.74%
| style="text-align:center;" | 82.16%
| style="text-align:center;" | 74.27%
|-
! 18
| style="text-align:center;" |
| style="text-align:center;" | 99.91%
| style="text-align:center;" | 98.55%
| style="text-align:center;" | 93.85%
| style="text-align:center;" | 83.54%
| style="text-align:center;" | 75.49%
|-
! 19
| style="text-align:center;" |
| style="text-align:center;" | 99.95%
| style="text-align:center;" | 98.94%
| style="text-align:center;" | 94.82%
| style="text-align:center;" | 84.85%
| style="text-align:center;" | 76.68%
|-
! 20
| style="text-align:center;" |
| style="text-align:center;" | 99.97%
| style="text-align:center;" | 99.24%
| style="text-align:center;" | 95.67%
| style="text-align:center;" | 86.08%
| style="text-align:center;" | 77.84%
|-
! 21
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.46%
| style="text-align:center;" | 96.41%
| style="text-align:center;" | 87.25%
| style="text-align:center;" | 78.96%
|-
! 22
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.62%
| style="text-align:center;" | 97.03%
| style="text-align:center;" | 88.35%
| style="text-align:center;" | 80.05%
|-
! 23
| style="text-align:center;" |
| style="text-align:center;" | 100.00%
| style="text-align:center;" | 99.74%
| style="text-align:center;" | 97.57%
| style="text-align:center;" | 89.38%
| style="text-align:center;" | 81.11%
|-
! 24
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.82%
| style="text-align:center;" | 98.02%
| style="text-align:center;" | 90.34%
| style="text-align:center;" | 82.12%
|-
! 25
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.88%
| style="text-align:center;" | 98.40%
| style="text-align:center;" | 91.23%
| style="text-align:center;" | 83.11%
|-
! 26
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.92%
| style="text-align:center;" | 98.71%
| style="text-align:center;" | 92.07%
| style="text-align:center;" | 84.06%
|-
! 27
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.95%
| style="text-align:center;" | 98.97%
| style="text-align:center;" | 92.84%
| style="text-align:center;" | 84.97%
|-
! 28
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.97%
| style="text-align:center;" | 99.18%
| style="text-align:center;" | 93.55%
| style="text-align:center;" | 85.85%
|-
! 29
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
| style="text-align:center;" | 99.36%
| style="text-align:center;" | 94.21%
| style="text-align:center;" | 86.69%
|-
! 30
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.50%
| style="text-align:center;" | 94.81%
| style="text-align:center;" | 87.50%
|-
! 31
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.61%
| style="text-align:center;" | 95.36%
| style="text-align:center;" | 88.27%
|-
! 32
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 100.00%
| style="text-align:center;" | 99.70%
| style="text-align:center;" | 95.86%
| style="text-align:center;" | 89.01%
|-
! 33
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.77%
| style="text-align:center;" | 96.32%
| style="text-align:center;" | 89.71%
|-
! 34
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.82%
| style="text-align:center;" | 96.74%
| style="text-align:center;" | 90.38%
|-
! 35
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.87%
| style="text-align:center;" | 97.11%
| style="text-align:center;" | 91.02%
|-
! 36
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.90%
| style="text-align:center;" | 97.45%
| style="text-align:center;" | 91.62%
|-
! 37
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.93%
| style="text-align:center;" | 97.76%
| style="text-align:center;" | 92.20%
|-
! 38
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.95%
| style="text-align:center;" | 98.03%
| style="text-align:center;" | 92.74%
|-
! 39
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.96%
| style="text-align:center;" | 98.28%
| style="text-align:center;" | 93.26%
|-
! 40
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.97%
| style="text-align:center;" | 98.50%
| style="text-align:center;" | 93.74%
|-
! 41
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
| style="text-align:center;" | 98.69%
| style="text-align:center;" | 94.20%
|-
! 42
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
| style="text-align:center;" | 98.86%
| style="text-align:center;" | 94.63%
|-
! 43
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.02%
| style="text-align:center;" | 95.04%
|-
! 44
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.15%
| style="text-align:center;" | 95.42%
|-
! 45
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.27%
| style="text-align:center;" | 95.78%
|-
! 46
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 100.00%
| style="text-align:center;" | 99.37%
| style="text-align:center;" | 96.11%
|-
! 47
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.46%
| style="text-align:center;" | 96.42%
|-
! 48
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.54%
| style="text-align:center;" | 96.72%
|-
! 49
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.61%
| style="text-align:center;" | 96.99%
|-
! 50
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.67%
| style="text-align:center;" | 97.24%
|-
! 51
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.72%
| style="text-align:center;" | 97.47%
|-
! 52
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.76%
| style="text-align:center;" | 97.69%
|-
! 53
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.80%
| style="text-align:center;" | 97.89%
|-
! 54
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.83%
| style="text-align:center;" | 98.08%
|-
! 55
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.86%
| style="text-align:center;" | 98.25%
|-
! 56
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.88%
| style="text-align:center;" | 98.41%
|-
! 57
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.90%
| style="text-align:center;" | 98.56%
|-
! 58
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.92%
| style="text-align:center;" | 98.69%
|-
! 59
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.93%
| style="text-align:center;" | 98.82%
|-
! 60
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.94%
| style="text-align:center;" | 98.93%
|-
! 61
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.95%
| style="text-align:center;" | 99.03%
|-
! 62
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.96%
| style="text-align:center;" | 99.13%
|-
! 63
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.97%
| style="text-align:center;" | 99.22%
|-
! 64
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.97%
| style="text-align:center;" | 99.29%
|-
! 65
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
| style="text-align:center;" | 99.37%
|-
! 66
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
| style="text-align:center;" | 99.43%
|-
! 67
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.49%
|-
! 68
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.54%
|-
! 69
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.59%
|-
! 70
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.64%
|-
! 71
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
| style="text-align:center;" | 99.68%
|-
! 72
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 100.00%
| style="text-align:center;" | 99.71%
|-
! 73
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.74%
|-
! 74
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.77%
|-
! 75
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.80%
|-
! 76
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.82%
|-
! 77
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.84%
|-
! 78
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.86%
|-
! 79
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.88%
|-
! 80
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.89%
|-
! 81
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.91%
|-
! 82
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.92%
|-
! 83
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.93%
|-
! 84
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.94%
|-
! 85
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.94%
|-
! 86
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.95%
|-
! 87
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.96%
|-
! 88
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.96%
|-
! 89
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.97%
|-
! 90
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.97%
|-
! 91
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
|-
! 92
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
|-
! 93
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
|-
! 94
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.98%
|-
! 95
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
|-
! 96
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
|-
! 97
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
|-
! 98
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
|-
! 99
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
|-
! 100
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
|-
! 101
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 99.99%
|-
! 102
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" |
| style="text-align:center;" | 100.00%
|}
=Forum Posts=
* [http://www.talkchess.com/forum/viewtopic.php?t=30624 Likelihood of superiority] by [[Marco Costalba]], [[CCC]], November 15, 2009
* [http://www.talkchess.com/forum/viewtopic.php?t=45406 LOS calculation: Does the same result is always the same?] by [[Marco Costalba]], [[CCC]], October 01, 2012
* [http://www.talkchess.com/forum/viewtopic.php?t=45788 LOS (again)] by [[Ed Schroder|Ed Schröder]], [[CCC]], October 30, 2012
* [http://www.talkchess.com/forum/viewtopic.php?p=508206 Fast LOS estimation] by [[Gary Linscott|Gary]], [[CCC]], February 18, 2013
* [http://www.open-chess.org/viewtopic.php?f=5&t=2296 LOS] by [[Mark Watkins|BB+]], [[Computer Chess Forums|OpenChess Forum]], March 31, 2013
* [http://www.talkchess.com/forum/viewtopic.php?t=48863 Type I error in LOS based early stopping rule] by [[Kai Laskos]], [[CCC]], August 06, 2013 <ref>[https://en.wikipedia.org/wiki/Type_I_and_type_II_errors Type I and type II errors from Wikipedia]</ref>
=External Links=
* [https://en.wikipedia.org/wiki/Statistical_significance Statistical significance from Wikipedia]
* [https://en.wikipedia.org/wiki/P-value p-value from Wikipedia]
=References=
<references />
'''[[Match Statistics|Up one level]]'''
