# Finding clusters

Lab 4H

### Clustering data

• We've seen previously that data scientists have methods to predict values of specific variables.
• We used regression to predict numerical values and classification to predict categories.
• Clustering is similar to classification in that we want to group people into categories. But there's one important difference:
• In clustering, we don't know how many groups to use because we're not predicting the value of a known variable!
• In this lab, we'll learn how to use the k-means clustering algorithm to group our data into clusters.

### The k-means algorithm

• The k-means algorithm works by splitting our data into k different clusters.
• The number of clusters, the value of k, is chosen by the data scientist.
• The algorithm works only for numerical variables and only when we have no missing data.
• To start, use the data function to load the futbol data set.
• This data contains 23 players from the US Men's National Soccer team (USMNT) and 22 quarterbacks from the National Football League (NFL).
• Create a scatterplot of the players ht_inches and wt_lbs and color each dot based on the league they play for.

### Running k-means

• After plotting the player's heights and weights, we can see that there are two clusters, or different types, of players:
• Players in the NFL tend to be taller and weigh more than the shorter and lighter USMNT players.
• Fill in the blanks below to use k-means to cluster the same height and weight data into two groups:
kclusters(____~____, data = futbol, k = ____)

• Use this code and the mutate function to add the values from kclusters to the futbol data. Call the variable clusters.

### k-means vs. ground-truth

• In comparing our football and soccer players, we know for certain which league each player plays in.
• We call this knowledge ground-truth.
• Knowing the ground-truth for this example is helpful to illustrate how k-means works, but in reality, data-scientists would run k-means not knowing the ground-truth.
• Compare the clusters chosen by k-means to the ground-truth. How successful was k-means at recovering the league information?

• Load your class' timeuse data (remember to run timeuse_format so each row represents the mean time each student in spent participating in the various activities).
• Create a scatterplot of homework and videogames variables.
• Based on this graph, identify and remove any outliers by using the subset function.
• Use kclusters with k=2 for homework and videogames.
• Describe how the groups differ from each other in terms of how long each group spends playing videogames and doing homework.