Sunday, April 2, 2017

Premier League

Premier League has reached its final stage. The table below shows the average outcome in simulations taking into account teams' strength, which teams they will play, and whether the matches are home or away. The two columns to the right show the predicted chance each team has win the league (Champ%) and qualify for Champions League (Top4%).


Expected Outcome
TeamPointsExpected +/-Champ%Top4%
Chelsea8779-3293.1100
Tottenham78.474-315.6996.1
Man City74.773-420.81179.7
Liverpool74.380-460.34580.7
Man United69.459-360.035223.4
Arsenal68.576-480.010719.6
Everton61.965-4400.53

Table below shows that the probability that a team ends on a certain point and the probability that it wins the league if it gets that many points. For instance, Chelsea secured the championship if they take at least 90 points and if they only take 80 points, they only have 50% chance to win the league.

PointsChelsea
Tottenham
Liverpool
Man City
Man United
Arsenal
Everton
960.77100------------
942.49100------------
932.98100------------
923.54100------------
918.19100------------
907.47100------------
899.5199.70.31173.7----------
8811.999.7------------
879.9598.61.2452----------
8610.497.31.4341.5----------
859.46952.0731.5--0.30143.2------
846.9790.34.8522.3----------
835.8284.24.8415.50.89712.81.1619.90.037319.8----
824.1475.27.049.81--1.678.51------
812.6263.69.45.612.83.791.960.1755.780.09033.99--
801.74508.823.213.291.775.32.210.2832.33----
791.0236.510.41.433.880.8085.240.8280.4250.9650.4130.872--
780.51722.910.50.6178.790.2657.30.3251.30.3620.5750.348--
770.287138.890.2147.840.089310.30.07171.570.07670.880.102--
760.1285.788.390.06089.80.02969.280.01622.640.02272.320.0259--
750.0482.716.810.013212.40.0064710.70.003724.440.01122.520--
740.02061.465.040.0039710.1010.804.9204.1400.05950
730.006203.880.0025810.208.7406.906.120--

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