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trevorcampbell committed Nov 20, 2023
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12 changes: 6 additions & 6 deletions pull565/clustering.html
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Expand Up @@ -794,9 +794,9 @@ <h3><span class="header-section-number">9.5.1</span> Measuring cluster quality<a
in Figure <a href="clustering.html#fig:10-toy-example-clus1-center">9.4</a>.</p>

<div class="figure" style="text-align: center"><span style="display:block;" id="fig:10-toy-example-clus1-center"></span>
<img src="_main_files/figure-html/10-toy-example-clus1-center-1.png" alt="Cluster 1 from the penguins_standardized data set example. Observations are in blue, with the cluster center highlighted in red." width="336" />
<img src="_main_files/figure-html/10-toy-example-clus1-center-1.png" alt="Cluster 1 from the penguins_standardized data set example. Observations are small blue points, with the cluster center highlighted as a large blue point with a black outline." width="336" />
<p class="caption">
Figure 9.4: Cluster 1 from the <code>penguins_standardized</code> data set example. Observations are in blue, with the cluster center highlighted in red.
Figure 9.4: Cluster 1 from the <code>penguins_standardized</code> data set example. Observations are small blue points, with the cluster center highlighted as a large blue point with a black outline.
</p>
</div>
<p>The second step in computing the WSSD is to add up the squared distance
Expand All @@ -811,9 +811,9 @@ <h3><span class="header-section-number">9.5.1</span> Measuring cluster quality<a
<p>These distances are denoted by lines in Figure <a href="clustering.html#fig:10-toy-example-clus1-dists">9.5</a> for the first cluster of the penguin data example.</p>

<div class="figure" style="text-align: center"><span style="display:block;" id="fig:10-toy-example-clus1-dists"></span>
<img src="_main_files/figure-html/10-toy-example-clus1-dists-1.png" alt="Cluster 1 from the penguins_standardized data set example. Observations are in blue, with the cluster center highlighted in red. The distances from the observations to the cluster center are represented as black lines." width="336" />
<img src="_main_files/figure-html/10-toy-example-clus1-dists-1.png" alt="Cluster 1 from the penguins_standardized data set example. Observations are small blue points, with the cluster center highlighted as a large blue point with a black outline. The distances from the observations to the cluster center are represented as black lines." width="336" />
<p class="caption">
Figure 9.5: Cluster 1 from the <code>penguins_standardized</code> data set example. Observations are in blue, with the cluster center highlighted in red. The distances from the observations to the cluster center are represented as black lines.
Figure 9.5: Cluster 1 from the <code>penguins_standardized</code> data set example. Observations are small blue points, with the cluster center highlighted as a large blue point with a black outline. The distances from the observations to the cluster center are represented as black lines.
</p>
</div>
<p>The larger the value of <span class="math inline">\(S^2\)</span>, the more spread out the cluster is, since large <span class="math inline">\(S^2\)</span> means
Expand All @@ -827,9 +827,9 @@ <h3><span class="header-section-number">9.5.1</span> Measuring cluster quality<a
Figure <a href="clustering.html#fig:10-toy-example-all-clus-dists">9.6</a>.</p>

<div class="figure" style="text-align: center"><span style="display:block;" id="fig:10-toy-example-all-clus-dists"></span>
<img src="_main_files/figure-html/10-toy-example-all-clus-dists-1.png" alt="All clusters from the penguins_standardized data set example. Observations are in orange, blue, and yellow with the cluster center highlighted in red. The distances from the observations to each of the respective cluster centers are represented as black lines." width="408" />
<img src="_main_files/figure-html/10-toy-example-all-clus-dists-1.png" alt="All clusters from the penguins_standardized data set example. Observations are small orange, blue, and yellow points with cluster centers denoted by larger points with a black outline. The distances from the observations to each of the respective cluster centers are represented as black lines." width="408" />
<p class="caption">
Figure 9.6: All clusters from the <code>penguins_standardized</code> data set example. Observations are in orange, blue, and yellow with the cluster center highlighted in red. The distances from the observations to each of the respective cluster centers are represented as black lines.
Figure 9.6: All clusters from the <code>penguins_standardized</code> data set example. Observations are small orange, blue, and yellow points with cluster centers denoted by larger points with a black outline. The distances from the observations to each of the respective cluster centers are represented as black lines.
</p>
</div>
<p>Since K-means uses the straight-line distance to measure the quality of a clustering,
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