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A Comparison of Heuristic Procedures for Minimum Within-Cluster Sums of Squares Partitioning

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  • Michael Brusco
  • Douglas Steinley

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  • Michael Brusco & Douglas Steinley, 2007. "A Comparison of Heuristic Procedures for Minimum Within-Cluster Sums of Squares Partitioning," Psychometrika, Springer;The Psychometric Society, vol. 72(4), pages 583-600, December.
    • Handle: RePEc:spr:psycho:v:72:y:2007:i:4:p:583-600
    DOI: 10.1007/s11336-007-9013-4
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    References listed on IDEAS

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    1. Hand, David J. & Krzanowski, Wojtek J., 2005. "Optimising k-means clustering results with standard software packages," Computational Statistics & Data Analysis, Elsevier, vol. 49(4), pages 969-973, June.
    2. Douglas Steinley & Michael J. Brusco, 2007. "Initializing K-means Batch Clustering: A Critical Evaluation of Several Techniques," Journal of Classification, Springer;The Classification Society, vol. 24(1), pages 99-121, June.
    3. Evgenia Dimitriadou & Sara Dolničar & Andreas Weingessel, 2002. "An examination of indexes for determining the number of clusters in binary data sets," Psychometrika, Springer;The Psychometric Society, vol. 67(1), pages 137-159, March.
    4. Lawrence Hubert & Phipps Arabie, 1985. "Comparing partitions," Journal of Classification, Springer;The Classification Society, vol. 2(1), pages 193-218, December.
    5. Manuel Laguna & Fred Glover, 1993. "Bandwidth Packing: A Tabu Search Approach," Management Science, INFORMS, vol. 39(4), pages 492-500, April.
    6. Pacheco, Joaquin & Valencia, Olga, 2003. "Design of hybrids for the minimum sum-of-squares clustering problem," Computational Statistics & Data Analysis, Elsevier, vol. 43(2), pages 235-248, June.
    7. Glenn Milligan, 1980. "An examination of the effect of six types of error perturbation on fifteen clustering algorithms," Psychometrika, Springer;The Psychometric Society, vol. 45(3), pages 325-342, September.
    8. Glenn Milligan, 1985. "An algorithm for generating artificial test clusters," Psychometrika, Springer;The Psychometric Society, vol. 50(1), pages 123-127, March.
    9. Glenn Milligan, 1989. "A validation study of a variable weighting algorithm for cluster analysis," Journal of Classification, Springer;The Classification Society, vol. 6(1), pages 53-71, December.
    10. Michael Brusco, 2006. "A Repetitive Branch-and-Bound Procedure for Minimum Within-Cluster Sums of Squares Partitioning," Psychometrika, Springer;The Psychometric Society, vol. 71(2), pages 347-363, June.
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    Cited by:

    1. Ahmed Albatineh & Magdalena Niewiadomska-Bugaj, 2011. "MCS: A Method for Finding the Number of Clusters," Journal of Classification, Springer;The Classification Society, vol. 28(2), pages 184-209, July.
    2. Christian Hennig, 2022. "An empirical comparison and characterisation of nine popular clustering methods," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 16(1), pages 201-229, March.
    3. Gregory Jolivet & Fabien Postel-Vinay, 2020. "A Structural Analysis of Mental Health and Labor Market Trajectories," Bristol Economics Discussion Papers 20/726, School of Economics, University of Bristol, UK.
    4. Michael Brusco & Hans-Friedrich Köhn, 2009. "Exemplar-Based Clustering via Simulated Annealing," Psychometrika, Springer;The Psychometric Society, vol. 74(3), pages 457-475, September.
    5. Aurore Delaigle & Peter Hall & Tung Pham, 2019. "Clustering functional data into groups by using projections," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 81(2), pages 271-304, April.
    6. J. Fernando Vera & Rodrigo Macías, 2021. "On the Behaviour of K-Means Clustering of a Dissimilarity Matrix by Means of Full Multidimensional Scaling," Psychometrika, Springer;The Psychometric Society, vol. 86(2), pages 489-513, June.
    7. Daniel Aloise & Nielsen Castelo Damasceno & Nenad Mladenović & Daniel Nobre Pinheiro, 2017. "On Strategies to Fix Degenerate k-means Solutions," Journal of Classification, Springer;The Classification Society, vol. 34(2), pages 165-190, July.
    8. Daniel Aloise & Pierre Hansen, 2011. "Evaluating a branch-and-bound RLT-based algorithm for minimum sum-of-squares clustering," Journal of Global Optimization, Springer, vol. 49(3), pages 449-465, March.
    9. Michael Brusco & Renu Singh & Douglas Steinley, 2009. "Variable Neighborhood Search Heuristics for Selecting a Subset of Variables in Principal Component Analysis," Psychometrika, Springer;The Psychometric Society, vol. 74(4), pages 705-726, December.
    10. Amaldi, Edoardo & Coniglio, Stefano, 2013. "A distance-based point-reassignment heuristic for the k-hyperplane clustering problem," European Journal of Operational Research, Elsevier, vol. 227(1), pages 22-29.
    11. Susan Brudvig & Michael J. Brusco & J. Dennis Cradit, 2019. "Joint selection of variables and clusters: recovering the underlying structure of marketing data," Journal of Marketing Analytics, Palgrave Macmillan, vol. 7(1), pages 1-12, March.
    12. Michael Brusco & Douglas Steinley, 2011. "A Tabu-Search Heuristic for Deterministic Two-Mode Blockmodeling of Binary Network Matrices," Psychometrika, Springer;The Psychometric Society, vol. 76(4), pages 612-633, October.
    13. Jorge A. Rivero, 2023. "Unobserved Grouped Heteroskedasticity and Fixed Effects," Papers 2310.14068, arXiv.org, revised Oct 2023.
    14. Mohammad Rezaei, 2020. "Improving a Centroid-Based Clustering by Using Suitable Centroids from Another Clustering," Journal of Classification, Springer;The Classification Society, vol. 37(2), pages 352-365, July.
    15. Turkensteen, Marcel & Klose, Andreas, 2012. "Demand dispersion and logistics costs in one-to-many distribution systems," European Journal of Operational Research, Elsevier, vol. 223(2), pages 499-507.
    16. Stéphane Bonhomme & Elena Manresa, 2015. "Grouped Patterns of Heterogeneity in Panel Data," Econometrica, Econometric Society, vol. 83(3), pages 1147-1184, May.
    17. Michael Brusco & Douglas Steinley, 2015. "Affinity Propagation and Uncapacitated Facility Location Problems," Journal of Classification, Springer;The Classification Society, vol. 32(3), pages 443-480, October.
    18. Lumsdaine, Robin L. & Okui, Ryo & Wang, Wendun, 2023. "Estimation of panel group structure models with structural breaks in group memberships and coefficients," Journal of Econometrics, Elsevier, vol. 233(1), pages 45-65.
    19. Pierre Hansen & Nenad Mladenović & José Moreno Pérez, 2010. "Variable neighbourhood search: methods and applications," Annals of Operations Research, Springer, vol. 175(1), pages 367-407, March.
    20. Adib Roshani & Mehdi Hamidi, 2022. "Groundwater Level Fluctuations in Coastal Aquifer: Using Artificial Neural Networks to Predict the Impacts of Climatical CMIP6 Scenarios," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(11), pages 3981-4001, September.
    21. Michael Brusco & Patrick Doreian & Andrej Mrvar & Douglas Steinley, 2011. "Two Algorithms for Relaxed Structural Balance Partitioning: Linking Theory, Models, and Data to Understand Social Network Phenomena," Sociological Methods & Research, , vol. 40(1), pages 57-87, February.

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