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Avoiding degeneracy in multidimensional unfolding by penalizing on the coefficient of variation

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  • Frank Busing
  • Patrick Groenen
  • Willem Heiser

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  • Frank Busing & Patrick Groenen & Willem Heiser, 2005. "Avoiding degeneracy in multidimensional unfolding by penalizing on the coefficient of variation," Psychometrika, Springer;The Psychometric Society, vol. 70(1), pages 71-98, March.
  • Handle: RePEc:spr:psycho:v:70:y:2005:i:1:p:71-98
    DOI: 10.1007/s11336-001-0908-1
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    References listed on IDEAS

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    1. Yoshio Takane & Forrest Young & Jan Leeuw, 1977. "Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features," Psychometrika, Springer;The Psychometric Society, vol. 42(1), pages 7-67, March.
    2. Suzanne Winsberg & J. Douglas Carroll, 1989. "A quasi-nonmetric method for multidimensional scaling VIA an extended euclidean model," Psychometrika, Springer;The Psychometric Society, vol. 54(2), pages 217-229, June.
    3. J. Kruskal, 1964. "Nonmetric multidimensional scaling: A numerical method," Psychometrika, Springer;The Psychometric Society, vol. 29(2), pages 115-129, June.
    4. Joseph Bennett & William Hays, 1960. "Multidimensional unfolding: Determining the dimensionality of ranked preference data," Psychometrika, Springer;The Psychometric Society, vol. 25(1), pages 27-43, March.
    5. Clyde Coombs & Richard Kao, 1960. "On a connection between factor analysis and multidimensional unfolding," Psychometrika, Springer;The Psychometric Society, vol. 25(3), pages 219-231, September.
    6. Wayne DeSarbo & J. Douglas Carroll, 1985. "Three-way metric unfolding via alternating weighted least squares," Psychometrika, Springer;The Psychometric Society, vol. 50(3), pages 275-300, September.
    7. Gary McClelland & Clyde Coombs, 1975. "Ordmet: A general algorithm for constructing all numerical solutions to ordered metric structures," Psychometrika, Springer;The Psychometric Society, vol. 40(3), pages 269-290, September.
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    Cited by:

    1. Chen, Yunxiao & Ying, Zhiliang & Zhang, Haoran, 2021. "Unfolding-model-based visualization: theory, method and applications," LSE Research Online Documents on Economics 108876, London School of Economics and Political Science, LSE Library.
    2. DeSarbo, Wayne S. & Selin Atalay, A. & Blanchard, Simon J., 2009. "A three-way clusterwise multidimensional unfolding procedure for the spatial representation of context dependent preferences," Computational Statistics & Data Analysis, Elsevier, vol. 53(8), pages 3217-3230, June.
    3. Vera, J. Fernando & Macas, Rodrigo & Heiser, Willem J., 2009. "A dual latent class unfolding model for two-way two-mode preference rating data," Computational Statistics & Data Analysis, Elsevier, vol. 53(8), pages 3231-3244, June.
    4. Joonwook Park & Wayne DeSarbo & John Liechty, 2008. "A Hierarchical Bayesian Multidimensional Scaling Methodology for Accommodating Both Structural and Preference Heterogeneity," Psychometrika, Springer;The Psychometric Society, vol. 73(3), pages 451-472, September.
    5. Giuseppe Bove & Akinori Okada, 2018. "Methods for the analysis of asymmetric pairwise relationships," 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. 12(1), pages 5-31, March.
    6. van de Velden, M. & de Beuckelaer, A. & Groenen, P.J.F. & Busing, F.M.T.A., 2011. "Nonmetric Unfolding of Marketing Data: Degeneracy and Stability," ERIM Report Series Research in Management ERS-2011-006-MKT, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    7. Wayne DeSarbo & Joonwook Park & Vithala Rao, 2011. "Deriving joint space positioning maps from consumer preference ratings," Marketing Letters, Springer, vol. 22(1), pages 1-14, March.
    8. Joonwook Park & Priyali Rajagopal & Wayne DeSarbo, 2012. "A New Heterogeneous Multidimensional Unfolding Procedure," Psychometrika, Springer;The Psychometric Society, vol. 77(2), pages 263-287, April.
    9. Wilde, Pieter de & Junk, Wiebke Marie & Palmtag, Tabea, 2016. "Accountability and opposition to globalization in international assemblies," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 22(4), pages 823-846.
    10. Gregory Bonn & Romin Tafarodi, 2013. "Visualizing the Good Life: A Cross-Cultural Analysis," Journal of Happiness Studies, Springer, vol. 14(6), pages 1839-1856, December.
    11. Frank Busing & Mark Rooij, 2009. "Unfolding Incomplete Data: Guidelines for Unfolding Row-Conditional Rank Order Data with Random Missings," Journal of Classification, Springer;The Classification Society, vol. 26(3), pages 329-360, December.
    12. Antonio D’Ambrosio & Carmela Iorio & Michele Staiano & Roberta Siciliano, 2019. "Median constrained bucket order rank aggregation," Computational Statistics, Springer, vol. 34(2), pages 787-802, June.
    13. Li, Xiangping & Li, Xiang (Robert) & Hudson, Simon, 2013. "The application of generational theory to tourism consumer behavior: An American perspective," Tourism Management, Elsevier, vol. 37(C), pages 147-164.
    14. Samoggia, Antonella & Arvola, Anne & Bertazzoli, Aldo & Gurinovic, Mirjana & Hendrixson, Vaiva & Rivarolifi, Sergio & Ruggeri, Arianna, 2014. "Offering Low-Cost Healthy Food: an Exploration of Food Manufacturers’ and Retailers’ Perspectives," International Food and Agribusiness Management Review, International Food and Agribusiness Management Association, vol. 17(4), pages 1-32, November.
    15. Layla Khoja & Maxwell Chipulu & Ranadeva Jayasekera, 2016. "Analysing corporate insolvency in the Gulf Cooperation Council using logistic regression and multidimensional scaling," Review of Quantitative Finance and Accounting, Springer, vol. 46(3), pages 483-518, April.
    16. Ho, Ying & Chung, Yuho & Lau, Kin-nam, 2010. "Unfolding large-scale marketing data," International Journal of Research in Marketing, Elsevier, vol. 27(2), pages 119-132.
    17. Antonio D’Ambrosio & Willem J. Heiser, 2016. "A Recursive Partitioning Method for the Prediction of Preference Rankings Based Upon Kemeny Distances," Psychometrika, Springer;The Psychometric Society, vol. 81(3), pages 774-794, September.
    18. J. Vera & Rodrigo Macías & Willem Heiser, 2013. "Cluster Differences Unfolding for Two-Way Two-Mode Preference Rating Data," Journal of Classification, Springer;The Classification Society, vol. 30(3), pages 370-396, October.
    19. Khoja, Layla & Chipulu, Maxwell & Jayasekera, Ranadeva, 2019. "Analysis of financial distress cross countries: Using macroeconomic, industrial indicators and accounting data," International Review of Financial Analysis, Elsevier, vol. 66(C).
    20. Junggi Yang & Ungu Kang & Youngho Lee, 2016. "Clinical decision support system in medical knowledge literature review," Information Technology and Management, Springer, vol. 17(1), pages 5-14, March.
    21. Chang Liu & Zhanyu Zhang & Shuya Liu & Qiaoyuan Liu & Baoping Feng & Julia Tanzer, 2019. "Evaluating Agricultural Sustainability Based on the Water–Energy–Food Nexus in the Chenmengquan Irrigation District of China," Sustainability, MDPI, vol. 11(19), pages 1-16, September.
    22. Marti Sagarra & Frank M. T. A. Busing & Cecilio Mar-Molinero & Josep Rialp, 2018. "Assessing the asymmetric effects on branch rivalry of Spanish financial sector restructuring," 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. 12(1), pages 131-153, March.
    23. Willem Heiser, 2004. "Geometric representation of association between categories," Psychometrika, Springer;The Psychometric Society, vol. 69(4), pages 513-545, December.
    24. Wayne DeSarbo & Joonwook Park & Crystal Scott, 2008. "A Model-Based Approach for Visualizing the Dimensional Structure of Ordered Successive Categories Preference Data," Psychometrika, Springer;The Psychometric Society, vol. 73(1), pages 1-20, March.

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