F1 Circuit Cluster Analysis —- Part 1

Hello there so as you know I’m currently working through the Datacamp course data scientist with R. (If the people from Datacamp are reading this I’m open top sponsorship!) There will be a further update how I’m getting on with this later this week, however, today I wanted to focus on applying something new that I learnt. Cluster analysis. Cluster analysis allows you to take a dataframe of two variables and calculate which are the rows best grouped together. There are two main methods that we are going to look at hierarchical clustering and kmeans clustering. We are going to look at formula  1 circuits. The idea is there are 21 different circuits currently on the calender all different lengths and height profiles and types of tarmac, however, can we group them together with certain characteristics. For me as an avid formula 1 watcher, the differences between the circuits are caused by lengths of straights and speed of corners. Therefore the two metrics we are using are the average straight length and average corner speed.

  • Average straight length – calculated by measuring each stretch of track which the F1 car would be running full throttle. Removing any lengths of the track less than 100m. an example for Spain below straights is estimated in green.

circuit.png

  • Average corner speed – I have calculated this by allocating each corner to either slow, medium or fast speed. (Unfortunately, I don’t have data for the exact corner speed but if any f1 team wants to send it over email me!) so you can see below in the table how many for each circuit was allocated 

table2

As I don’t know the exact speeds of these corners I have estimated that a slow corner is 80 km/h, medium speed corner is 150 km/h and a fast corner is 200km/h. This has left us with the following table:

table3

Hierarchical Clustering

The first thing we are going to look at is hierarchical clustering. The table above is fed into the following code:

carbon-4-e1530090645312.png

this produces the following output:

dendrogramf1.png

We have 5 different distinct clusters that the F1 circuits fit into. It’s not too surprising that Singapore, Monaco and Hungary fit into a similar cluster as well as Belgium and Great Britain being similar circuits.

cluster scatter

The scatter above you can clearly see the difference between the two main clusters 1 and 2. In cluster one straight length are often shorter, however, the corners are faster. Cluster 2 circuits often have longer straights but slower corners. With a few circuits from each group used so far, this season would be interesting to see if there are any trends with car speed.  That’s it for the first part of this series next week we will look at any difference using K-means clustering. In the final part, we will look applying what we have seen so far this year to try and predict who will win in the later rounds.

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