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The principal components of mixed measurement level multivariate data: An alternating least squares method with optimal scaling features

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  • Forrest Young
  • Yoshio Takane
  • Jan Leeuw

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  • 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.
    • Handle: RePEc:spr:psycho:v:43:y:1978:i:2:p:279-281
    DOI: 10.1007/BF02293871
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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. Forrest Young & Jan Leeuw & Yoshio Takane, 1976. "Regression with qualitative and quantitative variables: An alternating least squares method with optimal scaling features," Psychometrika, Springer;The Psychometric Society, vol. 41(4), pages 505-529, December.
    3. Norman Cliff, 1966. "Orthogonal rotation to congruence," Psychometrika, Springer;The Psychometric Society, vol. 31(1), pages 33-42, March.
    4. Joseph Kruskal & Roger Shepard, 1974. "A nonmetric variety of linear factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 39(2), pages 123-157, June.
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    Cited by:

    1. Takayuki Saito & Tatsuo Otsu, 1988. "A method of optimal scaling for multivariate ordinal data and its extensions," Psychometrika, Springer;The Psychometric Society, vol. 53(1), pages 5-25, March.
    2. Herman A van Wietmarschen & Theo H Reijmers & Anita J van der Kooij & Jan Schroën & Heng Wei & Thomas Hankemeier & Jacqueline J Meulman & Jan van der Greef, 2011. "Sub-Typing of Rheumatic Diseases Based on a Systems Diagnosis Questionnaire," PLOS ONE, Public Library of Science, vol. 6(9), pages 1-10, September.
    3. Michel Tenenhaus, 1988. "Canonical analysis of two convex polyhedral cones and applications," Psychometrika, Springer;The Psychometric Society, vol. 53(4), pages 503-524, December.
    4. Masahiro Kuroda & Yuichi Mori & Masaya Iizuka, 2023. "Speeding up the convergence of the alternating least squares algorithm using vector $$\varepsilon $$ ε acceleration and restarting for nonlinear principal component analysis," Computational Statistics, Springer, vol. 38(1), pages 243-262, March.
    5. S. Winsberg & J. Ramsay, 1983. "Monotone spline transformations for dimension reduction," Psychometrika, Springer;The Psychometric Society, vol. 48(4), pages 575-595, December.
    6. Natale Carlo Lauro & Maria Gabriella Grassia & Rosanna Cataldo, 2018. "Model Based Composite Indicators: New Developments in Partial Least Squares-Path Modeling for the Building of Different Types of Composite Indicators," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 135(2), pages 421-455, January.
    7. Richard Sands & Forrest Young, 1980. "Component models for three-way data: An alternating least squares algorithm with optimal scaling features," Psychometrika, Springer;The Psychometric Society, vol. 45(1), pages 39-67, March.
    8. Maria Giovanna Onorati & Francesco D. d’Ovidio & Laura Antonucci, 2017. "Cultural displacement as a lever to global-ready student profiles: results from a longitudinal study on International Lifelong Learning Programs (LLP)," Quality & Quantity: International Journal of Methodology, Springer, vol. 51(2), pages 545-563, March.
    9. Hansohm, Jürgen, 2004. "Algorithmus und Programm zur Bestimmung der monotonen Kleinst-Quadrate Lösung bei partiellen Präordnungen," Arbeitspapiere zur mathematischen Wirtschaftsforschung 187, Universität Augsburg, Institut für Statistik und Mathematische Wirtschaftstheorie.
    10. Luis Fernando Gamboa & Darwin Cortes & Jorge Ivan Gonzalez, 2001. "An approximation to the standard of living index: the colombian case," Borradores de Investigación 1972, Universidad del Rosario.
    11. Yoo, Boonghee, 2009. "Developing an overall ranking of 79 marketing journals: An introduction of PRINQUAL to marketing," Australasian marketing journal, Elsevier, vol. 17(3), pages 160-174.
    12. Natalia Porto & Victoria Dowbley & Carolina Inés García, 2020. "Estrategias de turismo en la Provincia de Buenos Aires. Una clasificación regional utilizando análisis multivariado," CEFIP, Working Papers 035, CEFIP, Universidad Nacional de La Plata.
    13. Petros A. Tsioras & Christina Giamouki & Maria Tsaktsira & Apostolos Scaltsoyiannes, 2023. "What the Fire Has Left Behind: Views and Perspectives of Resin Tappers in Central Greece," Sustainability, MDPI, vol. 15(12), pages 1-16, June.
    14. 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.
    15. Serrano-Cinca, Carlos & Cuellar-Fernández, Beatriz & Fuertes-Callén, Yolanda, 2023. "Pathways to self-sufficiency in the microfinance ecosystem," The Quarterly Review of Economics and Finance, Elsevier, vol. 92(C), pages 262-273.
    16. Hansohm, Jürgen, 2007. "Algorithms and error estimations for monotone regression on partially preordered sets," Journal of Multivariate Analysis, Elsevier, vol. 98(5), pages 1043-1050, May.
    17. Kuroda, Masahiro & Mori, Yuichi & Iizuka, Masaya & Sakakihara, Michio, 2011. "Acceleration of the alternating least squares algorithm for principal components analysis," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 143-153, January.
    18. Ng, Serena, 2013. "Variable Selection in Predictive Regressions," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 2, chapter 0, pages 752-789, Elsevier.
    19. Evan Munro & Serena Ng, 2022. "Latent Dirichlet Analysis of Categorical Survey Responses," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 40(1), pages 256-271, January.
    20. Eeke Burg & Jan Leeuw & Renée Verdegaal, 1988. "Homogeneity analysis withk sets of variables: An alternating least squares method with optimal scaling features," Psychometrika, Springer;The Psychometric Society, vol. 53(2), pages 177-197, June.
    21. Takane, Yoshio, 2016. "My Early Interactions with Jan and Some of His Lost Papers," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 73(i07).
    22. van Deun, K. & Groenen, P.J.F. & Delbeke, L., 2005. "VIPSCAL: A combined vector ideal point model for preference data," Econometric Institute Research Papers EI 2005-03, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    23. Goss, Allen & Roberts, Gordon S., 2011. "The impact of corporate social responsibility on the cost of bank loans," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1794-1810, July.
    24. Henk Kiers & Yoshio Takane & Ab Mooijaart, 1993. "A monotonically convergent algorithm for factals," Psychometrika, Springer;The Psychometric Society, vol. 58(4), pages 567-574, December.
    25. Willem Heiser, 2004. "Geometric representation of association between categories," Psychometrika, Springer;The Psychometric Society, vol. 69(4), pages 513-545, December.

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