Anne Cutberth has just started her new job as an academic adviser at a small liberal arts college in Colorado. She is going through a list of students in an academic department and wants to gain a better understanding about the student body in the department. The accompanying table shows a portion of the data that she has collected on 100 students. Note that all variables are categorical with a value 1 implying that the given student is a transfer student, was on the Dean’s list last semester, is currently receiving financial aid, or is female, respectively. Note: For R, use the method = “binary” option in the dist function.

a. Perform agglomerative clustering to group the students in Anne’s data set. Use Jaccard’s coefficients for the similarity measure and the complete linkage clustering method. Inspect the dendrogram. How many clusters are generated if the minimum distance between clusters is 0.8? How many transfer students are in the largest cluster? 

b. Repeat part a but choose average linkage clustering method. How many students are on the Dean’s list in the largest cluster?

Transcribed Image Text:

Transfer Dean's list Financial aid 0 1 I 1 1 0 # 0 1 1 0 Female 1 0 1