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Replicating Cluster Analysis: Method, Consistency, and Validity
Abstract
To replicate a cluster analysis, clusters must first be described in terms of an objective classification rule. The effectiveness of three rules (nearest neighbor classification, nearest centroid assignment, and quadratic discriminant analysis) for replicating Ward's algorithm (Ward, 1963) is evaluated by Monte Carlo study. Consistent replication links clusters and their replicas identically over alternative cross-validation sequences (i.e., A replicates B, B replicates A) and is associated with recovery of known clusters. Replication using nearest neighbor classification results in superior goodness-of-fit, more frequent consistent replication, and significant prediction of recovery. Although moderate or greater replication dentoes good recovery, replication is not a necessary condition of recovery of true clusters.
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Cites
Nearest neighbor pattern classification
Cover, T., & Hart, P. (1967) · IEEE Transactions on Information Theory · doi:10.1109/tit.1967.1053964 · Cited by 16,936
Hubert, L., & Arabie, P. (1985) · Journal of Classification · doi:10.1007/bf01908075 · Cited by 8,219
Cited by
Model uncertainty, data mining and statistical inference
Chatfield, C. (1995) · Journal of the Royal Statistical Society. Series A (Statistics in Society) · doi:10.2307/2983440 · Cited by 1,103
Stability-Based Validation of Clustering Solutions
Lange, T., Roth, V., Braun, M. L., & Buhmann, J. M. (2004) · Neural Computation · doi:10.1162/089976604773717621 · Cited by 526
Schwartz, S. J., Beyers, W., Luyckx, K., Soenens, B., Zamboanga, B. L., Forthun, L. F., Hardy, S. A., Vazsonyi, A. T., Ham, L. S., Kim, S. Y., et al. (2011) · Journal of Youth and Adolescence · doi:10.1007/s10964-010-9606-6 · Cited by 386
Rentfrow, P. J., Gosling, S. D., Jokela, M., Stillwell, D. J., Kosinski, M., & Potter, J. (2013) · Journal of Personality and Social Psychology · doi:10.1037/a0034434 · Cited by 351
Woo, S. E., Jebb, A. T., Tay, L., & Parrigon, S. (2018) · Organizational Research Methods · doi:10.1177/1094428117752467 · Cited by 308
Metadata
- Authors
- Breckenridge, J. N.
- Venue
- Multivariate Behavioral Research
- Publisher
- Informa UK Limited
- Published
- 1989-04
- Volume
- 24
- Issue
- 2
- Pages
- 147-161
- ISSN
- 0027-3171 (ISSN-L)
- 1532-7906
- OpenAlex
- W2052946386
- Cited by
- 187
- References
- 2
- FWCI
- 1.49
- Type
- journal article
- Language
- en
- Open access
- closed
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- Breckenridge, J. N. (1989). Replicating Cluster Analysis: Method, Consistency, and Validity. Multivariate Behavioral Research. https://doi.org/10.1207/s15327906mbr2402_1
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.