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On the Equivalence of Cohen's Kappa and the Hubert-Arabie Adjusted Rand Index

Matthijs J. Warrens
- 01 Nov 2008 - 
- Vol. 25, Iss: 2, pp 177-183
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TLDR
It is shown that one can calculate the Hubert-Arabie adjusted Rand index by first forming the fourfold contingency table counting the number of pairs of objects that were placed in the same cluster in both partitions.
Abstract
It is shown that one can calculate the Hubert-Arabie adjusted Rand index by first forming the fourfold contingency table counting the number of pairs of objects that were placed in the same cluster in both partitions, in the same cluster in one partition but in different clusters in the other partition, and in different clusters in both, and then computing Cohen's ? on this fourfold table.

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A Comparison of Hierarchical Methods for Clustering Functional Data

TL;DR: A simulation study compares the performance of four major hierarchical methods for clustering functional data and yields concrete suggestions to future researchers to determine the best method for clustered their functional data.
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Inequalities between multi-rater kappas

TL;DR: It is proved that Fleiss’ kappa is a lower bound of Hubert’s kappa and Randolph's kappa, and that Randolph’'s kappas is an upper bound ofHubert”s k Kappa and Light’S kappa if all pairwise agreement tables are weakly marginal symmetric or if all raters assign a certain minimum proportion of the objects to a specified category.
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On Association Coefficients for 2×2 Tables and Properties That Do Not Depend on the Marginal Distributions

TL;DR: A family of coefficients that are linear transformations of the observed proportion of agreement given the marginal probabilities, which includes the phi coefficient and Cohen’s kappa is studied.
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Adjusting for chance clustering comparison measures

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Minimum spanning tree based split-and-merge: A hierarchical clustering method

TL;DR: A novel split-and-merge hierarchical clustering method in which a minimum spanning tree (MST) and an MST-based graph are employed to guide the splitting and merging process.
References
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A Coefficient of agreement for nominal Scales

TL;DR: In this article, the authors present a procedure for having two or more judges independently categorize a sample of units and determine the degree, significance, and significance of the units. But they do not discuss the extent to which these judgments are reproducible, i.e., reliable.
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Objective Criteria for the Evaluation of Clustering Methods

TL;DR: This article proposes several criteria which isolate specific aspects of the performance of a method, such as its retrieval of inherent structure, its sensitivity to resampling and the stability of its results in the light of new data.
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A Method for Comparing Two Hierarchical Clusterings

TL;DR: The derivation and use of a measure of similarity between two hierarchical clusterings, Bk, is derived from the matching matrix, [mij], formed by cutting the two hierarchical trees and counting the number of matching entries in the k clusters in each tree.
Journal ArticleDOI

Metric and Euclidean properties of dissimilarity coefficients

TL;DR: In this paper, the authors present properties of dissimilarity coefficients with respect to their metric and Euclidean status, and the response to different types of data is investigated, leading to guidance on the choice of an appropriate coefficient.
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