alright ima explain everything that is happening in
https://lookerstudio.google.com/u/0/reporting/74bb1839-7678-4576-b1b3-7e152e7cd2c4 once and for all
Modelling the event:
To sum up what we already know, there's 6 managers that drafted players from a pool of 71 players. All 77 players were tiered into 7 tiers in terms of strength. The event consists of 10 templates, 7 1vs1 and 3 2vs2, and each manager can have up to 3 players double slot. That means out of the 13 slots (7 1vs1 and 6 2vs2), each team has a minimum of 10 unique players. For the auction, an artificial currency called "nohhams" is used, with each manager having 400 nohhams to spend (total market capacity 6x400 = 2400 nohhams).
Each template is a RR bo1 tournament, meaning there's a total of 15 games per template, which translates to 105 1vs1 and 45 2vs2 games. each 1vs1 win is 3 points. Each 2vs2 win is 4 points. As such, the total points add up to 105x3=315 and 45x4=180 for 1vs1 and 2vs2 respectively, adding to a total of 495 points. (67% from 1vs1 and 36% from 2vs2).
Since the total market capacity is 2400 nohhams and there's a total of 495 points, each point is technically worth 2400/495 = 4.84 nohhams.
So for a 1vs1 template,
- 1-4 performance -> 3 points -> 14.5 nohhams
- 2-3 performance -> 6 points -> 29 nohhams
- 3-2 performance -> 9 points -> 43.5 nohhams
- 4-1 performance -> 12 points -> 58 nohhams
- 5-0 performance -> 15 points -> 72.6 nohhams
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Team Performance Evaluation:- Points Graph: Bar graph of total points per team
- Points Won vs Points Contested (where PC is max points a team would have at any time if they were undefeated. In this event that adds up to a maximum of 165 points)
- Points Won vs Number of Completed Games (practically using total number of completed games as a time unit)
- Win Ratio vs Number of Completed Games
- Percentage of Completed Games vs Number of Completed Games
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Adjusted Points Calculation for Individual Contribution
In team games (2vs2), its lowkey impossible to quantify each player's individual contribution to the team's performance. To address this, I calculate Adjusted Points for each player based on their expected win ratios from a model.
Expected Win Ratios per Tier:
- Tier 1: 0.8822
- Tier 2: 0.7022
- Tier 3: 0.4978
- Tier 4: 0.3667
- Tier 5: 0.2306
- Tier 6: 0.1156
- Tier 7: 0.0528
For a team game where two players earn a certain number of points together, I allocate the points to each player based on their expected win ratios.
If Player A (Tier 1, Expected Win Ratio 0.8822) and Player B (Tier 5, Expected Win Ratio 0.2306) earn 8 points together in a 2vs2 template, their adjusted points would be:
- Player A's 8x(0.8822 / (0.8822+0.2306)) = 6.34
- Player B's 8x(0.2306 / (0.8822+0.2306)) = 1.66
It's just a rough estimate for each player's contribution to their team's success