Feb 14 2015 - 9:28 am

Nemesis Draft - Win Rates and Analysis

I want to present some statistics and analysis of League of Legends's new Featured Game Mode:Nemesis Draft.
Dot Esports

I want to present some statistics and analysis of League of Legends's new Featured Game Mode: Nemesis Draft. This game mode is essentially the same as a regular Draft Mode on Summoners' Rift, except the players pick champions for their opponents. We will look at the popular champions for this mode, who performs the best/worst, and analyze the popular team compositions the players can craft for their opposition (e.g. which is better, all ADC or all tank?).

The statistics and analysis below are derived from 55,000 Nemesis Draft games played on the NA server on February 12th - 13th. 

 

Champion Popularity

We will first look at the popular champions picked for opponents for this mode by examining the table below (sorted by popularity). We can easily see that some of the most often picked champions also have some of the most lackluster performance in ranked solo queue (e.g. Zac, Elise, Evelynn, Alistar). Urgot, often regarded as the worst champion in the game (although this is highly debatable), is currently 11th in popularity at 25% pick rate and 48% win rate - a respectable performance - but nevertheless below 50%  win rate.

While we see that the majority of the player population are making the right decision to pick low win rate champions such as Taric, Zac, Elise, and Evelynn for their opponents, there are some champions commonly picked that actually perform rather well - most notably Poppy, Sona, Ashe, and Aatrox all have above-average popularity and very high win rate (55%+).

On the other side of the spectrum, we see that the general player population are aware of the good picks and shy away from giving them to the opponent. Most of the low-popularity champions have very high win rates. The least popular champion from my data, Vi, was played 241 games and won 142 of them - a respectable win rate of 59%. 

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Identifying Team Composition

While discussion of individual champion performance can be interesting, it is likely to be missing the bigger picture. Unlike a regular draft game where most players pick champions based on their preferred role and champion, on Nemesis Draft players do place a lot more emphasis on team composition - or the lack thereof - for their opponents. 

In a regular game, a set of champions with diverse roles and properties can complement each other and create synergy. On Nemesis Draft, players often  draft bad team compositions for their opponent - usually by selecting similar champions of the same role and property for their opponent. Therefore, by identifying which champions are likely to be picked together, we can detect the players' perception of each champion's role and property and how champions are organized into different groups.

These kinds of "grouping" problems are often called clustering problems in machine learning and data  mining. There are many known data mining methods that can solve these kinds of problems, but I will be using a fairly simple and intuitive one called Hierarchical Clustering with complete linkage to divide the 86 most popular champions into groups. This will allow me to group champions that are often played in the same team.

 

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The diagram above shows the result of hierarchical clustering of the 86 most popular champions based the data from the 55K games. I organized the four major groups using four different colours. It is not hard to see that the green group contains all the supports, the teal group contains ADC, the red group contains mostly physical-damage oriented melee  champions and junglers, and the blue group contains mostly of mid laners and other magical-damage oriented champions. 

We can also see some finer sub-divisions of these groups. Most notably we see that the support group (green) branches off into two sections - one contains Leona, Braum, Alistar, Thresh, Blitzcrank, and Taric (mostly the melee support), the other contains Soraka, Sona, Nami, Janna, Zilean, Zyra, Lulu, and Karma (ranged supports). Similar patterns can be see from the other three major groups which the interested readers should examine and verify.

As a side note: it is worthwhile to stress that I gave very little personal direction on how the grouping is done beyond some a priori judgement calls based on my prior experience with similar problems. These groups are derived from the data mining algorithm acting on my Nemesis Draft data set. 

Evaluating Team Compositions

Now that we have grouped champions together based on players' perceived roles and properties for each champion, we can try to evaluate team compositions based on these four major groups. 

First, I will define a team of five champions to have a composition of any of the aforementioned four groups if three out of five champions belong to one of those groups. For example, a team with Ashe, Twitch, Jinx, Janna, and Sion is considered to be in the Teal (ADC) composition because Ashe, Twitch, and Jinx all belong to the Teal group in the diagram above. With these rules in mind, I can compute the following:

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First of all, we can see that a team that does not belong to one of the four groups/compositions ("None of the above") have very high win rate at 54.72% - presumably due to a balanced team composition with champions from different roles. The worst team composition is Teal (ADC) where three or more champions on the team are ADC - winning only 40.25% of the time. A support-heavy team composition (Green) is the second worst at 46.94% win rate. The other two team compositions fair somewhat better, but they are still no match for a more balanced team.

Therefore, barring player skills and possibly other factors, we may be inclined to build an all-ADC composition for our opponents in a Nemesis Draft game. We should also try, within our best abilities, to prevent drafting a balanced team for the opponent.

Future Studies

Nemesis Draft provides a window of opportunity to study rare and interesting team compositions that cannot be easily observed in a regular game. For instance, we rarely encounter regular games where 3 ADC champions are employed on the same team. We can also use the Nemesis Draft data as lenses to observe the general player population's understanding of all the champions and their perception of the similarities and differences within the champions. I believe this is merely a preliminary study; further effort on the analysis of Nemesis Draft is warranted in order to better understand the game.

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