Friday, March 9, 2018

Premier League

Here are our predictions of Premier League with nine matches left. We have simulated the remaining matches a million times and the table below shows the average outcome, taking into account home advantage and whether teams schedules easier or tougher.

Expected Outcome
TeamPointsExpected +/-Champ%Top4%
Man City97.1104-29100100
Man United79.875-320.02797.3
Liverpool76.885-420.000789.2
Tottenham75.373-340.000179.6
Chelsea71.670-35033.7
Arsenal62.270-5100.118

Chelsea, for example, is expected to take 18.6 points during the remaining nine matches, while Tottenham is expected to take 17.3 points (as they have slightly tougher schedule)

Table below shows some scenarios. For example, if Tottenham take at least 17 points (as expected), they finish within top-4 in 97% of the simulations.


Man United 99.7% if they take at least 14 more points (of 27), otherwise 80%
Man United 99.4% if they take at least 13 more points (of 27), otherwise 71%
Man United 99.9% if they take at least 15 more points (of 27), otherwise 86%
Liverpool 98.3% if they take at least 15 more points (of 27), otherwise 63%
Liverpool 97% if they take at least 14 more points (of 27), otherwise 54%
Liverpool 99.2% if they take at least 16 more points (of 27), otherwise 71%
Tottenham 94% if they take at least 16 more points (of 27), otherwise 45%
Tottenham 97% if they take at least 17 more points (of 27), otherwise 53%
Tottenham 92% if they take at least 15 more points (of 27), otherwise 36%
Chelsea 66% if they take at least 20 more points (of 27), otherwise 11%
Chelsea 74% if they take at least 21 more points (of 27), otherwise 15%
Chelsea 57% if they take at least 19 more points (of 27), otherwise 6.8%
Arsenal 2.6% if they take at least 24 more points (of 27), otherwise 0.015%
Arsenal 1.8% if they take at least 23 more points (of 27), otherwise 0.0072%
Arsenal 4.6% if they take at least 25 more points (of 27), otherwise 0.034%

Wednesday, March 7, 2018

CL: Juventus come back in London




Juventus were down for counting with a goal by Son for Tottenham in the end of first half. Juventus chances to win the tournament were down to below 1 in 150, but with two quick goals in the middle of second half they flipped the pancake and now stand 1 in 8 chance.




TeamQFSemiFinalChampion
Real Madrid100%65%41%25%
Barcelona71%46%29%17%
Man City100%56%30%15%
Bayern100%53%26%12%
Juventus100%52%26%12%
Liverpool100%41%16%6%
Man United65%30%13%5%
Chelsea29%14%6%3%
Roma51%20%7%3%
Shakhtar49%12%3%<1%
Sevilla35%10%3%<1%
Besiktas<1%<1%<1%<1%







CL: Real Madrid and Liverpool through to quarter-finals


Real Madrid clinched quarter-final with their goal early in second half. Liverpool could not lose their five-goal advatage from first leg.
Figure shows how teams' chances to win the tournament have changed over time.

Wednesday, February 21, 2018

CL: Round of 16

With first leg played 13 teams are still in the competition. Curves below show how each teams chance (to win the tournament) developed over the first 90 minutes. Most notably, Real's comeback against PSG, Barcelona's equalizer against Chelsea, and Tottenham's comeback against Juventus changed the chances significantly for Tottenham and Juventus.

The four favourites are still favourites Real increased their chances against PSG from 70% to 87%. Barcelona increased their chances slighly with their draw away (+3%). Man City and Bayern virtually secured advancement in first leg. Liverpool killed thei match in the first leg as well. Tottenham turned around 44% chance against Juventus to 64% with a 2-2 draw away. Shakhtar increased chances against Roma to 49% (+14%) with a 2-1 win at home. Sevilla increaed their chances slightly against Man United to 35% (+4%) with a 0-0 draw at home.

TeamQFSemiFinalChampion
Real Madrid87%57%37%22%
Barcelona71%47%30%18%
Man City100%57%31%16%
Bayern100%54%27%13%
Liverpool100%42%16%6%
Tottenham64%30%13%6%
Man United65%30%13%6%
Juventus36%19%10%5%
Chelsea29%14%7%3%
Roma51%20%7%3%
Paris SG13%6%3%1%
Shakhtar49%13%3%<1%
Sevilla35%10%3%<1%
Besiktas<1%<1%<1%<1%
Porto<1%<1%<1%<1%
Basel<1%<1%<1%<1%




CL: Round of 16

After six leg-1 matches three teams are virtually through and three matches are open.

TeamQFSemiFinalChampion
Real Madrid87%57%36%22%
Barcelona71%47%30%18%
Man City100%57%31%16%
Bayern100%53%27%13%
Liverpool100%42%16%6%
Man United69%32%14%6%
Tottenham64%30%13%6%
Juventus36%19%9%5%
Roma65%25%9%4%
Chelsea29%14%7%3%
Paris SG13%6%3%1%
Sevilla31%9%3%<1%
Shakhtar35%9%2%<1%
Besiktas<1%<1%<1%<1%
Porto<1%<1%<1%<1%
Basel<1%<1%<1%<1%

Wednesday, February 14, 2018

CL: Round of 16

Updated probabilities for teams to reach each round

TeamQFSemiFinalChampion
Real Madrid87%58%37%22%
Barcelona68%45%29%17%
Man City100%58%32%16%
Bayern80%43%22%11%
Liverpool100%43%17%7%
Man United69%32%14%6%
Tottenham64%31%14%6%
Juventus36%19%10%5%
Roma65%26%10%4%
Chelsea32%16%8%3%
Paris SG13%6%3%1%
Sevilla31%10%3%<1%
Shakhtar35%9%2%<1%
Besiktas20%5%1%<1%
Porto<1%<1%<1%<1%
Basel<1%<1%<1%<1%

CL: Round of 16

Updated probabilities for teams to reach each round

TeamQFSemiFinalChampion
Real Madrid70%47%30%18%
Barcelona68%46%29%18%
Man City100%59%33%17%
Bayern80%44%23%11%
Man United69%33%15%7%
Tottenham64%31%14%6%
Juventus36%20%10%5%
Liverpool67%29%12%5%
Roma65%27%10%4%
Chelsea32%16%8%4%
Paris SG30%15%7%3%
Sevilla31%10%3%<1%
Shakhtar35%10%3%<1%
Porto33%9%2%<1%
Besiktas20%5%1%<1%
Basel<1%<1%<1%<1%