Hierarchical Clustering in Data Analysis
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Questions and Answers

What method is used to update the proximity matrix after merging the two closest clusters?

  • Ward's Method
  • Group Average (correct)
  • MIN
  • Single Link
  • In the context of cluster similarity, what does MIN refer to?

  • Minimum distance between centroids (correct)
  • Minimum error
  • Merging clusters based on single linkage
  • Merging the two closest clusters
  • Which method uses squared error as part of its objective function?

  • Single Link
  • Group Average
  • Ward's Method (correct)
  • MAX
  • What is the name for the distance between centroids in the context of cluster similarity?

    <p>Group Average</p> Signup and view all the answers

    In the given context, what does MAX refer to?

    <p>Maximum distance between centroids</p> Signup and view all the answers

    What is used in Ward's Method as part of its objective function?

    <p>Squared error</p> Signup and view all the answers

    Which method involves merging clusters based on single linkage?

    <p>'MIN'</p> Signup and view all the answers

    What is the term 'Single Link' associated with?

    <p>'MIN'</p> Signup and view all the answers

    What is used in Ward’s Method to measure inter-cluster similarity?

    <p>Squared error</p> Signup and view all the answers

    What does 'Group Average' represent in the context of cluster similarity?

    <p>Average distance between all pairs of points in two clusters</p> Signup and view all the answers

    What is the main visual representation of hierarchical clustering?

    <p>Dendrogram</p> Signup and view all the answers

    In hierarchical clustering, what does agglomerative clustering involve?

    <p>Merging the closest pair of clusters at each step</p> Signup and view all the answers

    What distinguishes different algorithms in hierarchical clustering?

    <p>Distance between clusters</p> Signup and view all the answers

    What is the key operation in the computation of the proximity of two clusters in hierarchical clustering?

    <p>Defining the distance between clusters</p> Signup and view all the answers

    What is the main advantage of hierarchical clustering?

    <p>It does not require assuming a particular number of clusters</p> Signup and view all the answers

    What type of clustering involves splitting a cluster until each cluster contains a single point?

    <p>Divisive clustering</p> Signup and view all the answers

    What does an agglomerative clustering algorithm repeat until only a single cluster remains?

    <p>Update the proximity matrix</p> Signup and view all the answers

    Which type of clustering starts with individual points as clusters and then merges the closest pair of clusters at each step?

    <p>Agglomerative clustering</p> Signup and view all the answers

    What is the key operation in the computation of the proximity of two clusters in hierarchical clustering?

    <p>Defining the distance between clusters</p> Signup and view all the answers

    In hierarchical clustering, what does agglomerative clustering involve?

    <p>Starting with individual points as clusters and then merging the closest pair of clusters at each step</p> Signup and view all the answers

    What method is used to update the proximity matrix after merging the two closest clusters?

    <p>Defining the distance between clusters</p> Signup and view all the answers

    What is used in Ward’s Method to measure inter-cluster similarity?

    <p>Squared error as part of its objective function</p> Signup and view all the answers

    What does 'Group Average' represent in the context of cluster similarity?

    <p>The average distance between all pairs of points in two different clusters</p> Signup and view all the answers

    Which method involves merging clusters based on single linkage?

    <p>Single Linkage</p> Signup and view all the answers

    What type of clustering involves splitting a cluster until each cluster contains a single point?

    <p>Divisive Clustering</p> Signup and view all the answers

    What does 'MAX' refer to in hierarchical clustering?

    <p>The maximum distance between any pair of points in two different clusters.</p> Signup and view all the answers

    What distinguishes different algorithms in hierarchical clustering?

    <p>Defining the distance between clusters.</p> Signup and view all the answers

    In the given context, when merging the two closest clusters (C2 and C5) and updating the proximity matrix, what is the key operation?

    <p>Computing the distance between centroids</p> Signup and view all the answers

    What type of clustering involves starting with individual points as clusters and then merging the closest pair of clusters at each step?

    <p>Hierarchical clustering</p> Signup and view all the answers

    In the context of cluster similarity, what does 'MIN' refer to?

    <p>Minimal inter-cluster distance</p> Signup and view all the answers

    What is used in Ward's Method to measure inter-cluster similarity?

    <p>Sum of squared error</p> Signup and view all the answers

    Which method uses squared error as part of its objective function?

    <p>K-means clustering</p> Signup and view all the answers

    What does 'Group Average' represent in the context of cluster similarity?

    <p>Average inter-cluster distance</p> Signup and view all the answers

    What distinguishes different algorithms in hierarchical clustering?

    <p>The method of computing inter-cluster similarity</p> Signup and view all the answers

    What is the name for the distance between centroids in the context of cluster similarity?

    <p>Linkage distance</p> Signup and view all the answers

    What is used in Ward's Method as part of its objective function?

    <p>Maximum variance within clusters</p> Signup and view all the answers

    'Single Link' is associated with which method of merging clusters?

    <p>'Agglomerative clustering'</p> Signup and view all the answers

    Study Notes

    Cluster Similarity Methods

    • MIN refers to the minimum distance between two clusters.
    • MAX refers to the maximum distance between two clusters.
    • The distance between centroids is referred to as the centroid distance.

    Hierarchical Clustering

    • Agglomerative clustering involves merging clusters until only a single cluster remains.
    • Agglomerative clustering starts with individual points as clusters and then merges the closest pair of clusters at each step.
    • The key operation in the computation of the proximity of two clusters is updating the proximity matrix after merging the two closest clusters.
    • The main advantage of hierarchical clustering is its visual representation, which is typically a dendrogram.

    Clustering Algorithms

    • Single Linkage method involves merging clusters based on the minimum distance between two clusters.
    • Ward's Method uses squared error as part of its objective function and measures inter-cluster similarity using the centroid distance.
    • Group Average represents the average distance between all pairs of points in each cluster.

    Clustering Types

    • Divisive clustering involves splitting a cluster until each cluster contains a single point.
    • Agglomerative clustering involves merging clusters until only a single cluster remains.
    • Hierarchical clustering involves either agglomerative or divisive clustering.

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    Description

    This quiz covers the concept of hierarchical clustering in data analysis. It includes topics such as nested clusters, dendrogram visualization, and strengths of hierarchical clustering.

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