Statistical significance for hierarchical clustering.

TitleStatistical significance for hierarchical clustering.
Publication TypeJournal Article
Year of Publication2017
AuthorsKimes, Patrick K., Yufeng Liu, David Neil Hayes, and James Stephen Marron
Date Published2017 09
KeywordsAlgorithms, Cluster Analysis, Genomics, Humans

Cluster analysis has proved to be an invaluable tool for the exploratory and unsupervised analysis of high-dimensional datasets. Among methods for clustering, hierarchical approaches have enjoyed substantial popularity in genomics and other fields for their ability to simultaneously uncover multiple layers of clustering structure. A critical and challenging question in cluster analysis is whether the identified clusters represent important underlying structure or are artifacts of natural sampling variation. Few approaches have been proposed for addressing this problem in the context of hierarchical clustering, for which the problem is further complicated by the natural tree structure of the partition, and the multiplicity of tests required to parse the layers of nested clusters. In this article, we propose a Monte Carlo based approach for testing statistical significance in hierarchical clustering which addresses these issues. The approach is implemented as a sequential testing procedure guaranteeing control of the family-wise error rate. Theoretical justification is provided for our approach, and its power to detect true clustering structure is illustrated through several simulation studies and applications to two cancer gene expression datasets.

Alternate JournalBiometrics
Original PublicationStatistical significance of hierarchical clustering.
PubMed ID28099990
PubMed Central IDPMC5708128
Grant ListP01 CA142538 / CA / NCI NIH HHS / United States
R01 CA149569 / CA / NCI NIH HHS / United States
U10 CA181009 / CA / NCI NIH HHS / United States
U24 CA143848 / CA / NCI NIH HHS / United States