Journal
COMPUTATIONAL STATISTICS & DATA ANALYSIS
Volume 56, Issue 12, Pages 4462-4469Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.csda.2012.02.020
Keywords
Multimodality; Principal curves; Bandwidth test
Funding
- NSF [DMS-1007722]
- NIH [1R21AI069980]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1007722] Funding Source: National Science Foundation
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We propose a simple method to assess the number of subpopulations in multivariate data by projecting the data on its principal curve and then applying Silverman's bandwidth test to the resulting univariate sample. Our results indicate that this method works well even in high-dimensional settings with relatively small sample sizes, provided that the number of subpopulations is not large compared to the number of dimensions. (C) 2012 Elsevier B.V. All rights reserved.
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