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<div id='write' class = 'is-node'><h1><a name='header-n0' class='md-header-anchor '></a>Cluster Analysis Spring 2018</h1><h3><a name='header-n72' class='md-header-anchor '></a>Distance, Dimensionality Reduction, and Tendency</h3><ul><li><p>Distance</p><ul><li>Euclidean Distance</li><li>Squared Euclidean Distance</li><li>Manhattan Distance</li><li>Maximum Distance</li><li>Mahalanobis Distance</li></ul></li><li><p>Which distance function should you use?</p></li><li><p>PCA</p></li><li><p>Cluster Tendency</p><ul><li>Hopkins Statistic</li></ul></li><li><p>Scaling Data</p></li></ul><h3><a name='header-n109' class='md-header-anchor '></a>Validating Clustering Models</h3><ul><li>Clustering Validation</li><li>Cross Validation</li></ul><h3><a name='header-n117' class='md-header-anchor '></a>Connectivity Models</h3><ul><li><p>Agglomerative Clustering</p><ul><li>Single Linkage Clustering</li><li>Complete Linkage Clustering</li><li>Unweighted Pair Group Method with Arithmetic Mean (If time permits)</li></ul></li><li><p>Dendrograms</p></li><li><p>Divisive Clustering</p></li><li><p>CURE (Clustering using REpresentatives) algorithm (If time permits)</p></li></ul><h3><a name='header-n141' class='md-header-anchor '></a>Cluster Evaluation</h3><ul><li><p>Internal Evaluation</p><ul><li>Dunn Index</li><li>Silhouette Coefficient</li><li>Davies-Bouldin Index (If time permits)</li></ul></li><li><p>External Evaluation</p><ul><li>Rand Measure</li><li>Jaccard Index</li><li>Dice Index</li><li>Confusion Matrix</li><li>F Measure (If time permits)</li><li>Fowlkes-Mallows Index (If time permits)</li></ul></li></ul><h3><a name='header-n178' class='md-header-anchor '></a>Centroid Models</h3><ul><li>Jenks Natural Breaks Optimization</li><li>Voronoi Diagram</li><li>K means clustering</li><li>K medoids clustering</li><li>K Medians/Modes clustering</li><li>When to use K means as opposed to K medoids or K Medians?</li><li>How many clusters should you use?</li><li>Lloyd&#39;s Algorithm for Approximating K-means (If time permits)</li></ul><h3><a name='header-n204' class='md-header-anchor '></a>Density Models</h3><ul><li>DBSCAN Density Based Clustering Algorithm</li><li>OPTICS Ordering Points To Identify the Clustering Structure</li><li>DeLi-Clu Density Link Clustering (If time permits)</li><li>What should be your density threshold?</li></ul><h3><a name='header-n218' class='md-header-anchor '></a>Analysis of Model Appropriateness</h3><ul><li>When do we use each of the models above?</li></ul><h3><a name='header-n223' class='md-header-anchor '></a>Distribution Models (If time permits)</h3><ul><li>Fuzzy Clusters</li><li>EM (Expectation Maximization) Clustering</li><li>Maximum Likelihood Gaussian</li><li>Probabilistic Hierarchal Clustering</li></ul><p></p><h2><a name='header-n239' class='md-header-anchor '></a>Textbooks</h2><p>Cluster Analysis 5th Edition</p><ul><li>Authors: Brian S. Everitt, Sabine Landau, Morven Leese, Daniel Stahl</li><li>ISBN-13: 978-0470749913</li><li>Cost: Free on UMW Library Site</li><li>Amazon Link: <a href='https://www.amazon.com/Cluster-Analysis-Brian-S-Everitt/dp/0470749911/ref=sr_1_1?ie=UTF8&qid=1509135983&sr=8-1' target='_blank' >https://www.amazon.com/Cluster-Analysis-Brian-S-Everitt/dp/0470749911/ref=sr_1_1?ie=UTF8&qid=1509135983&sr=8-1</a></li><li>Table of Contents: <a href='http://www.wiley.com/WileyCDA/WileyTitle/productCd-EHEP002266.html' target='_blank' >http://www.wiley.com/WileyCDA/WileyTitle/productCd-EHEP002266.html</a></li></ul><p>Cluster Analysis: 2014 Edition (Statistical Associates Blue Book Series 24) <br/></p><ul><li>Author: David Garson</li><li>ISBN: 978-1-62638-030-1</li><li>Cost: Free with Site Registration</li><li>Website: <a href='http://www.statisticalassociates.com/clusteranalysis.htm' target='_blank' >http://www.statisticalassociates.com/clusteranalysis.htm</a></li></ul><h2><a name='header-n276' class='md-header-anchor '></a>Schedule</h2><p>In an ideal world, the topics below I estimated being a certain time period for learning them. Of course you have more experience when it comes to how long it actually takes to learn these topics, so I&#39;ll leave this mostly to your discretion.</p><p><strong>Distance, Dimensionality Reduction, and Tendency</strong> -- 3 Weeks</p><p><strong>Validating Cluster Models</strong> -- 1 Week</p><p><strong>Connectivity Models</strong> -- 2 Weeks</p><p><strong>Cluster Evaluation</strong> -- 1 Week</p><p><strong>Centroid Models</strong> -- 3 Weeks</p><p><strong>Density Models</strong> -- 3 Weeks</p><p><strong>Analysis of Model Appropriateness</strong> -- 1 Week</p><p>The schedule above accounts for 14 weeks, so there is a week that is free as a buffer.</p><h2><a name='header-n295' class='md-header-anchor '></a>Conclusion</h2><p>Creating this document got me really excited for this independent study. Feel free to give me feedback :)</p></div>
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