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2 exercise(s) shown, 0 hidden
ABy Admin
May 25'23

You are given the following four pairs of observations:

[[math]] x_1 = (-1,0), \, x_2 = (1,1), \, x_3 = (2,-1), \, x_4 = (5,10) [[/math]]

A hierarchical clustering algorithm is used with complete linkage and Euclidean distance.

Calculate the intercluster dissimilarity between [math]\{x_1,x_2\}[/math] and [math]\{x_4\}[/math].

  • 2.2
  • 3.2
  • 9.9
  • 10.8
  • 11.7

Copyright 2023. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.

ABy Admin
May 25'23

Determine which of the following statements about hierarchical clustering is/are true.

  • The method may not assign extreme outliers to any cluster.
  • The resulting dendrogram can be used to obtain different numbers of clusters.
  • The method is not robust to small changes in the data.
  • None
  • I and II only
  • I and III only
  • II and III only
  • The correct answer is not given by (A), (B), (C), or (D).

Copyright 2023. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.