Links to an external site.

Which of the following measures are used to measure the goodness of clusters?

Question

Links to an external site.

Which of the following measures are used to measure the goodness of clusters?

BlackTom AI · Accepted Answer

The question asks about measures used to assess the goodness of clusters in clustering analysis.
Option analysis:
Option: Silhouette Measure
This is a well-known metric for evaluating clustering quality. The silhouette score combines ideas of cohesion (how close data points are to other points within the same cluster) and separation (how far data points are from points in other clusters). A higher silhouette value indicates better-defined clusters, with 1 representing perfect clustering and negative values suggesting misclassification.
Notes on the absence of other options:
The provided answer list contains only one item, Silhouette Measure, and there are no other candidate measures listed to compare. In typical practice, additional common measures include Davies–Bouldin index, Dunn index, Calinski–Harabasz (CH) index, and gap statistic, each with its own interpretation and contexts where it excels. However, since those alternatives are not present in the given options, they cannot be evaluated against the question as posed.
If you were to consider why silhouette is often favored, you could point to its intuitive interpretation, its applicability to any number of clusters, and its direct tie to intra- and inter-cluster distances. Conversely, potential misconceptions might include assuming silhouette works only for spherical clusters or relying solely on average distance without considering separation between clusters; both are not accurate depictions of how silhouette combines cohesion and separation.
In summary, given the single option provided, Silhouette Measure is the standard metric described for gauging clustering goodness due to its balance of intra-cluster compactness and inter-cluster separation.

Links to an external site. Which of the following measures are used to measure the goodness of clusters?

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