Comparison of three hypothesis testing approaches for the selection of the appropriate number of clusters of variables

DOI10.1007/s11634-009-0047-6zbMath1306.62138OpenAlexW1992269470MaRDI QIDQ481914

Evelyne Vigneau, El Mostafa Qannari, Emmanuelle Diaz, Stéphane Verdun, Véronique Cariou

Publication date: 18 December 2014

Published in: Advances in Data Analysis and Classification. ADAC (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11634-009-0047-6

zbMATH Keywords

gap statisticnumber of clustersclustering of variablesCLVhypothesis testing approach

Mathematics Subject Classification ID

Applications of statistics to economics (62P20) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Hypothesis testing in multivariate analysis (62H15)

Uses Software

• Silhouettes
• SAS
• clusterRepro
• SAS/STAT
• AutoClass

Cites Work

• Estimating the Number of Clusters in a Data Set Via the Gap Statistic
• A method of predicting the number of clusters using Rand's statistic
• Statistical theory in clustering
• On some significance tests in cluster analysis
• Silhouettes: a graphical aid to the interpretation and validation of cluster analysis
• On the number of clusters
• Hierarchical clustering of continuous variables based on the empirical copula process and permutation linkages
• Are clusters found in one dataset present in another dataset?
• A Criterion for Determining the Number of Groups in a Data Set Using Sum-of-Squares Clustering
• How Many Clusters? Which Clustering Method? Answers Via Model-Based Cluster Analysis
• Foundations of the likelihood linkage analysis (LLA) classification method
• Clustering of Variables Around Latent Components
• Finding the Number of Clusters in a Dataset
• Determining the Number of Clusters Using the Weighted Gap Statistic
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