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The integration of multidimensional scaling and multivariate analysis with optimal transformations

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  • Jacqueline Meulman

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  • Jacqueline Meulman, 1992. "The integration of multidimensional scaling and multivariate analysis with optimal transformations," Psychometrika, Springer;The Psychometric Society, vol. 57(4), pages 539-565, December.
    • Handle: RePEc:spr:psycho:v:57:y:1992:i:4:p:539-565
    DOI: 10.1007/BF02294419
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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. Forrest Young & Yoshio Takane & Jan Leeuw, 1978. "The principal components of mixed measurement level multivariate data: An alternating least squares method with optimal scaling features," Psychometrika, Springer;The Psychometric Society, vol. 43(2), pages 279-281, June.
    3. Michael Greenacre, 2008. "Correspondence analysis of raw data," Economics Working Papers 1112, Department of Economics and Business, Universitat Pompeu Fabra, revised Jul 2009.
    4. Gale Young & A. Householder, 1938. "Discussion of a set of points in terms of their mutual distances," Psychometrika, Springer;The Psychometric Society, vol. 3(1), pages 19-22, March.
    5. Joseph Kruskal & Roger Shepard, 1974. "A nonmetric variety of linear factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 39(2), pages 123-157, June.
    6. Heiser, Willem J., 1987. "Correspondence analysis with least absolute residuals," Computational Statistics & Data Analysis, Elsevier, vol. 5(4), pages 337-356, September.
    7. Norman Cliff, 1966. "Orthogonal rotation to congruence," Psychometrika, Springer;The Psychometric Society, vol. 31(1), pages 33-42, March.
    8. S. Winsberg & J. Ramsay, 1983. "Monotone spline transformations for dimension reduction," Psychometrika, Springer;The Psychometric Society, vol. 48(4), pages 575-595, December.
    9. Heiser, Willem J. & Meulman, Jacqueline, 1983. "Analyzing rectangular tables by joint and constrained multidimensional scaling," Journal of Econometrics, Elsevier, vol. 22(1-2), pages 139-167.
    10. Roger Shepard, 1962. "The analysis of proximities: Multidimensional scaling with an unknown distance function. II," Psychometrika, Springer;The Psychometric Society, vol. 27(3), pages 219-246, September.
    11. Michel Tenenhaus & Forrest Young, 1985. "An analysis and synthesis of multiple correspondence analysis, optimal scaling, dual scaling, homogeneity analysis and other methods for quantifying categorical multivariate data," Psychometrika, Springer;The Psychometric Society, vol. 50(1), pages 91-119, March.
    12. J. Kruskal, 1964. "Nonmetric multidimensional scaling: A numerical method," Psychometrika, Springer;The Psychometric Society, vol. 29(2), pages 115-129, June.
    13. J. Kruskal, 1964. "Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis," Psychometrika, Springer;The Psychometric Society, vol. 29(1), pages 1-27, March.
    14. Roger Shepard, 1962. "The analysis of proximities: Multidimensional scaling with an unknown distance function. I," Psychometrika, Springer;The Psychometric Society, vol. 27(2), pages 125-140, June.
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    Cited by:

    1. Jacqueline Meulman, 1996. "Fitting a distance model to homogeneous subsets of variables: Points of view analysis of categorical data," Journal of Classification, Springer;The Classification Society, vol. 13(2), pages 249-266, September.
    2. Mariëlle Linting & Bart Os & Jacqueline Meulman, 2011. "Statistical Significance of the Contribution of Variables to the PCA solution: An Alternative Permutation Strategy," Psychometrika, Springer;The Psychometric Society, vol. 76(3), pages 440-460, July.
    3. Beibei Yuan & Willem Heiser & Mark Rooij, 2019. "The δ-Machine: Classification Based on Distances Towards Prototypes," Journal of Classification, Springer;The Classification Society, vol. 36(3), pages 442-470, October.
    4. Andrew Webb, 1997. "Radial basis functions for exploratory data analysis: An iterative majorisation approach for Minkowski distances based on multidimensional scaling," Journal of Classification, Springer;The Classification Society, vol. 14(2), pages 249-267, September.
    5. Jacqueline Meulman & Peter Verboon, 1993. "Points of view analysis revisited: Fitting multidimensional structures to optimal distance components with cluster restrictions on the variables," Psychometrika, Springer;The Psychometric Society, vol. 58(1), pages 7-35, March.
    6. Patrick Groenen & Willem Heiser, 1996. "The tunneling method for global optimization in multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 61(3), pages 529-550, September.
    7. Malone, Samuel W. & Tarazaga, Pablo & Trosset, Michael W., 2002. "Better initial configurations for metric multidimensional scaling," Computational Statistics & Data Analysis, Elsevier, vol. 41(1), pages 143-156, November.
    8. Jacques Commandeur & Patrick Groenen & Jacqueline Meulman, 1999. "A distance-based variety of nonlinear multivariate data analysis, including weights for objects and variables," Psychometrika, Springer;The Psychometric Society, vol. 64(2), pages 169-186, June.
    9. Aurea Grané & Rosario Romera, 2018. "On Visualizing Mixed-Type Data," Sociological Methods & Research, , vol. 47(2), pages 207-239, March.
    10. Jean Bosco Ki & Salimata Faye & Bocar Faye, 2005. "Multidimensional Poverty in Senegal: a Non-monetary Basic Needs Approach," Working Papers PMMA 2005-05, PEP-PMMA.
    11. Machado, Pedro Gerber & Rampazo, Núria A. Miatto & Picoli, Michelle Cristina Araujo & Miranda, Cauã Guilherme & Duft, Daniel Garbellini & de Jesus, Katia Regina Evaristo, 2017. "Analysis of socioeconomic and environmental sensitivity of sugarcane cultivation using a Geographic Information System," Land Use Policy, Elsevier, vol. 69(C), pages 64-74.
    12. Fernandes, Silvia & Belo, Ana & Castela, Guilherme, 2016. "Social network enterprise behaviors and patterns in SMEs: Lessons from a Portuguese local community centered around the tourism industry," Technology in Society, Elsevier, vol. 44(C), pages 15-22.
    13. de Leeuw, Jan & Mair, Patrick, 2009. "Multidimensional Scaling Using Majorization: SMACOF in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 31(i03).
    14. Peter Verboon & Ivo Lans, 1994. "Robust canonical discriminant analysis," Psychometrika, Springer;The Psychometric Society, vol. 59(4), pages 485-507, December.
    15. repec:jss:jstsof:31:i03 is not listed on IDEAS
    16. Patrick Groenen & Bart-Jan Os & Jacqueline Meulman, 2000. "Optimal scaling by alternating length-constrained nonnegative least squares, with application to distance-based analysis," Psychometrika, Springer;The Psychometric Society, vol. 65(4), pages 511-524, December.
    17. Daniel B. McArtor & Gitta H. Lubke & C. S. Bergeman, 2017. "Extending multivariate distance matrix regression with an effect size measure and the asymptotic null distribution of the test statistic," Psychometrika, Springer;The Psychometric Society, vol. 82(4), pages 1052-1077, December.
    18. Diallo, Fatoumata Lamarana, 2010. "Analysing multidimensional poverty in Guinea: A fuzzy set approach," MERIT Working Papers 2010-041, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    19. Maarten M. Kampert & Jacqueline J. Meulman & Jerome H. Friedman, 2017. "rCOSA: A Software Package for Clustering Objects on Subsets of Attributes," Journal of Classification, Springer;The Classification Society, vol. 34(3), pages 514-547, October.
    20. Yawo A. Noglo & Namponndi Kader Ouedraogo, 2020. "Using Dagum's Gini decomposition to assess households' asset-based gap in the regions of Burkina Faso," Economics Bulletin, AccessEcon, vol. 40(3), pages 2241-2253.
    21. Michael Brusco & Stephanie Stahl, 2001. "An interactive multiobjective programming approach to combinatorial data analysis," Psychometrika, Springer;The Psychometric Society, vol. 66(1), pages 5-24, March.
    22. Groenen, P.J.F. & Borg, I., 2013. "The Past, Present, and Future of Multidimensional Scaling," Econometric Institute Research Papers EI 2013-07, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

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