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Nonmetric multidimensional scaling: A numerical method

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Cited by:

  1. Christian Genest & Johanna G. Nešlehová, 2014. "A Conversation with James O. Ramsay," International Statistical Review, International Statistical Institute, vol. 82(2), pages 161-183, August.
  2. Keith Poole, 1990. "Least squares metric, unidimensional scaling of multivariate linear models," Psychometrika, Springer;The Psychometric Society, vol. 55(1), pages 123-149, March.
  3. Verniest, Fabien & Greulich, Sabine, 2019. "Methods for assessing the effects of environmental parameters on biological communities in long-term ecological studies - A literature review," Ecological Modelling, Elsevier, vol. 414(C).
  4. Mario V. Wuthrich & Johanna Ziegel, 2023. "Isotonic Recalibration under a Low Signal-to-Noise Ratio," Papers 2301.02692, arXiv.org.
  5. Berrie Zielman & Willem Heiser, 1993. "Analysis of asymmetry by a slide-vector," Psychometrika, Springer;The Psychometric Society, vol. 58(1), pages 101-114, March.
  6. Willems, S.J.W. & Fiocco, M. & Meulman, J.J., 2017. "Optimal scaling for survival analysis with ordinal data," Computational Statistics & Data Analysis, Elsevier, vol. 115(C), pages 155-171.
  7. Groenen, P.J.F. & Winsberg, S. & Rodriguez, O. & Diday, E., 2005. "SymScal: symbolic multidimensional scaling of interval dissimilarities," Econometric Institute Research Papers EI 2005-15, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  8. Raymond, Ben & Hosie, Graham, 2009. "Network-based exploration and visualisation of ecological data," Ecological Modelling, Elsevier, vol. 220(5), pages 673-683.
  9. Antonio Fernández-Cano & Ángel Bueno, 2002. "Multivariate evaluation of Spanish educational research journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 55(1), pages 87-102, September.
  10. Luís Aguiar-Conraria & Pedro Magalhães & Maria Soares, 2013. "The nationalization of electoral cycles in the United States: a wavelet analysis," Public Choice, Springer, vol. 156(3), pages 387-408, September.
  11. Carlos Alberto Soares & Orlando Longo & Luciane Alcoforado & Thiago Ramos & Noelle Camello, 2018. "The Hotel Industry in the Metropolitan Region of Rio De Janeiro: An Analysis of the Legacy of Accessibility in Civil Construction Projects Post Mega Events," Sustainability, MDPI, vol. 10(11), pages 1-15, November.
  12. 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.
  13. George Karabatsos, 2018. "On Bayesian Testing of Additive Conjoint Measurement Axioms Using Synthetic Likelihood," Psychometrika, Springer;The Psychometric Society, vol. 83(2), pages 321-332, June.
  14. Karim Abou-Moustafa & Frank P. Ferrie, 2018. "Local generalized quadratic distance metrics: application to the k-nearest neighbors classifier," 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(2), pages 341-363, June.
  15. Leydesdorff, Loet & Rafols, Ismael, 2012. "Interactive overlays: A new method for generating global journal maps from Web-of-Science data," Journal of Informetrics, Elsevier, vol. 6(2), pages 318-332.
  16. Beniaich, Adnane & Guimarães, Danielle Vieira & Avanzi, Junior Cesar & Silva, Bruno Montoani & Acuña-Guzman, Salvador Francisco & dos Santos, Wharley Pereira & Silva, Marx Leandro Naves, 2023. "Spontaneous vegetation as an alternative to cover crops in olive orchards reduces water erosion and improves soil physical properties under tropical conditions," Agricultural Water Management, Elsevier, vol. 279(C).
  17. Giuseppe Arbia & Giovanni Lafratta, 2002. "Anisotropic spatial sampling designs for urban pollution," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 51(2), pages 223-234, May.
  18. Xin-Ran Li & Jongho Sun & Doris Albinsky & Darius Zarrabian & Raphaella Hull & Tak Lee & Edwin Jarratt-Barnham & Chai Hao Chiu & Amy Jacobsen & Eleni Soumpourou & Alessio Albanese & Wouter Kohlen & Le, 2022. "Nutrient regulation of lipochitooligosaccharide recognition in plants via NSP1 and NSP2," Nature Communications, Nature, vol. 13(1), pages 1-15, December.
  19. Fabrizio Durante & Roberta Pappadà & Nicola Torelli, 2015. "Clustering of time series via non-parametric tail dependence estimation," Statistical Papers, Springer, vol. 56(3), pages 701-721, August.
  20. Kennen, Jonathan G. & Kauffman, Leon J. & Ayers, Mark A. & Wolock, David M. & Colarullo, Susan J., 2008. "Use of an integrated flow model to estimate ecologically relevant hydrologic characteristics at stream biomonitoring sites," Ecological Modelling, Elsevier, vol. 211(1), pages 57-76.
  21. 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.
  22. Philip T. Reiss & M. Henry H. Stevens & Zarrar Shehzad & Eva Petkova & Michael P. Milham, 2010. "On Distance-Based Permutation Tests for Between-Group Comparisons," Biometrics, The International Biometric Society, vol. 66(2), pages 636-643, June.
  23. Jacqueline Meulman, 2003. "Prediction and classification in nonlinear data analysis: Something old, something new, something borrowed, something blue," Psychometrika, Springer;The Psychometric Society, vol. 68(4), pages 493-517, December.
  24. Violetta Simonacci & Michele Gallo, 2017. "Statistical tools for student evaluation of academic educational quality," Quality & Quantity: International Journal of Methodology, Springer, vol. 51(2), pages 565-579, March.
  25. Warren Torgerson, 1986. "Scaling and Psychometrika: Spatial and alternative representations of similarity data," Psychometrika, Springer;The Psychometric Society, vol. 51(1), pages 57-63, March.
  26. Samuel Shye, 2010. "The Motivation to Volunteer: A Systemic Quality of Life Theory," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 98(2), pages 183-200, September.
  27. Damangir, Sina & Du, Rex Yuxing & Hu, Ye, 2018. "Uncovering Patterns of Product Co-consideration: A Case Study of Online Vehicle Price Quote Request Data," Journal of Interactive Marketing, Elsevier, vol. 42(C), pages 1-17.
  28. Monteiro, Carlos M.F. & Dibb, Sally & Almeida, Luis Tadeu, 2010. "Revealing doctors' prescribing choice dimensions with multivariate tools: A perceptual mapping approach," European Journal of Operational Research, Elsevier, vol. 201(3), pages 909-920, March.
  29. Richard Johnson, 1975. "A simple method for pairwise monotone regression," Psychometrika, Springer;The Psychometric Society, vol. 40(2), pages 163-168, June.
  30. 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.
  31. Michael W. Trosset, 2002. "Extensions of Classical Multidimensional Scaling via Variable Reduction," Computational Statistics, Springer, vol. 17(2), pages 147-163, July.
  32. Nils Weinhold & Oliver Sander & Francisco S Domingues & Thomas Lengauer & Ingolf Sommer, 2008. "Local Function Conservation in Sequence and Structure Space," PLOS Computational Biology, Public Library of Science, vol. 4(7), pages 1-13, July.
  33. Brito, María R. & Quiroz, Adolfo J. & Yukich, J. E., 2002. "Graph-Theoretic Procedures for Dimension Identification," Journal of Multivariate Analysis, Elsevier, vol. 81(1), pages 67-84, April.
  34. Camacho, Maximo & Perez-Quiros, Gabriel & Saiz, Lorena, 2006. "Are European business cycles close enough to be just one?," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1687-1706.
  35. 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.
  36. Yang, Dazhi & Gu, Chaojun & Dong, Zibo & Jirutitijaroen, Panida & Chen, Nan & Walsh, Wilfred M., 2013. "Solar irradiance forecasting using spatial-temporal covariance structures and time-forward kriging," Renewable Energy, Elsevier, vol. 60(C), pages 235-245.
  37. Patrick Doreian, 1972. "Multivariate analysis and categorised data," Quality & Quantity: International Journal of Methodology, Springer, vol. 6(2), pages 253-272, December.
  38. Yoshio Takane & Tadashi Shibayama, 1991. "Principal component analysis with external information on both subjects and variables," Psychometrika, Springer;The Psychometric Society, vol. 56(1), pages 97-120, March.
  39. Mozas-Moral, Adoracion & Puentes-Poyatos, Raquel & Bernal-Jurado, Enrique, 2014. "Spanish Second-Tier Cooperative Societies: An Analysis of E-Corporate Social Responsibility," Journal of Rural Cooperation, Hebrew University, Center for Agricultural Economic Research, vol. 42(1), pages 1-31.
  40. Ntebogang Dinah Moroke, 2014. "Profiling Some of the Dire Household Debt Determinants: A Metric Multidimensional Scaling Approach," Journal of Economics and Behavioral Studies, AMH International, vol. 6(11), pages 858-867.
  41. Peter Verboon & Ivo Lans, 1994. "Robust canonical discriminant analysis," Psychometrika, Springer;The Psychometric Society, vol. 59(4), pages 485-507, December.
  42. Richard Johnson, 1973. "Pairwise nonmetric multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 38(1), pages 11-18, March.
  43. Piotr Tarka & Elżbieta Jędrych, 2023. "Toward an exploratory framework of determinants of marketing research effectiveness in business organizations," Journal of Marketing Analytics, Palgrave Macmillan, vol. 11(3), pages 503-522, September.
  44. Groenen, P.J.F. & van de Velden, M., 2004. "Multidimensional scaling," Econometric Institute Research Papers EI 2004-15, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  45. Chuqiao Wang & Zhenxing Bian & Shuai Wang & Xiaochen Liu & Yufei Zhang, 2022. "The Effect of Artificial Field Margins on Epigeic Arthropod Functional Groups within Adjacent Arable Land of Northeast China," Land, MDPI, vol. 11(11), pages 1-16, October.
  46. Muñoz-Mas, Rafael & Vezza, Paolo & Alcaraz-Hernández, Juan Diego & Martínez-Capel, Francisco, 2016. "Risk of invasion predicted with support vector machines: A case study on northern pike (Esox Lucius, L.) and bleak (Alburnus alburnus, L.)," Ecological Modelling, Elsevier, vol. 342(C), pages 123-134.
  47. Stirling, Andy, 2010. "Multicriteria diversity analysis: A novel heuristic framework for appraising energy portfolios," Energy Policy, Elsevier, vol. 38(4), pages 1622-1634, April.
  48. 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.
  49. Etschberger, Stefan & Hilbert, Andreas, 2002. "Multidimensional Scaling and Genetic Algorithms : A Solution Approach to Avoid Local Minima," Arbeitspapiere zur mathematischen Wirtschaftsforschung 181, Universität Augsburg, Institut für Statistik und Mathematische Wirtschaftstheorie.
  50. Jan Leeuw & Forrest Young & Yoshio Takane, 1976. "Additive structure in qualitative data: An alternating least squares method with optimal scaling features," Psychometrika, Springer;The Psychometric Society, vol. 41(4), pages 471-503, December.
  51. David Klahr, 1969. "A monte carlo investigation of the statistical significance of Kruskal's nonmetric scaling procedure," Psychometrika, Springer;The Psychometric Society, vol. 34(3), pages 319-330, September.
  52. Si-Tong Lu & Miao Zhang & Qing-Na Li, 2020. "Feasibility and a fast algorithm for Euclidean distance matrix optimization with ordinal constraints," Computational Optimization and Applications, Springer, vol. 76(2), pages 535-569, June.
  53. 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.
  54. 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.
  55. Hossein Safizadeh, M. & McKenna, David R., 1996. "Application of multidimensional scaling techniques to facilities layout," European Journal of Operational Research, Elsevier, vol. 92(1), pages 54-62, July.
  56. Hebert, Pierre-Alexandre & Masson, Marie-Helene & Denoeux, Thierry, 2006. "Fuzzy multidimensional scaling," Computational Statistics & Data Analysis, Elsevier, vol. 51(1), pages 335-359, November.
  57. Lan Huong Nguyen & Susan Holmes, 2019. "Ten quick tips for effective dimensionality reduction," PLOS Computational Biology, Public Library of Science, vol. 15(6), pages 1-19, June.
  58. la Grange, Anthony & le Roux, Niël & Gardner-Lubbe, Sugnet, 2009. "BiplotGUI: Interactive Biplots in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 30(i12).
  59. Petar Sarajcev & Dino Lovric, 2023. "Manifold Learning in Electric Power System Transient Stability Analysis," Energies, MDPI, vol. 16(23), pages 1-20, November.
  60. 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.
  61. Lawrence Hubert & Phipps Arabie & Matthew Hesson-Mcinnis, 1992. "Multidimensional scaling in the city-block metric: A combinatorial approach," Journal of Classification, Springer;The Classification Society, vol. 9(2), pages 211-236, December.
  62. Andreas Bittracher & Johann Moschner & Beate Koksch & Roland Netz & Christof Schütte, 2021. "Exploring the locking stage of NFGAILS amyloid fibrillation via transition manifold analysis," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(10), pages 1-12, October.
  63. Forrest Young, 1970. "Nonmetric multidimensional scaling: Recovery of metric information," Psychometrika, Springer;The Psychometric Society, vol. 35(4), pages 455-473, December.
  64. Sagarra, Marti & Mar-Molinero, Cecilio & Agasisti, Tommaso, 2017. "Exploring the efficiency of Mexican universities: Integrating Data Envelopment Analysis and Multidimensional Scaling," Omega, Elsevier, vol. 67(C), pages 123-133.
  65. Jonatan A. González & Francisco J. Rodríguez-Cortés & Elvira Romano & Jorge Mateu, 2021. "Classification of Events Using Local Pair Correlation Functions for Spatial Point Patterns," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 26(4), pages 538-559, December.
  66. K. Deun & P. Groenen & W. Heiser & F. Busing & L. Delbeke, 2005. "Interpreting degenerate solutions in unfolding by use of the vector model and the compensatory distance model," Psychometrika, Springer;The Psychometric Society, vol. 70(1), pages 45-69, March.
  67. Mingxu Zhao & Nalaka Geekiyanage & Jianchu Xu & Myo Myo Khin & Dian Ridwan Nurdiana & Ekananda Paudel & Rhett Daniel Harrison, 2015. "Structure of the Epiphyte Community in a Tropical Montane Forest in SW China," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-19, April.
  68. Stephen Polasky & Andrew Solow & James Broadus, 1993. "Searching for uncertain benefits and the conservation of biological diversity," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 3(2), pages 171-181, April.
  69. 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.
  70. Willem Heiser, 1991. "A generalized majorization method for least souares multidimensional scaling of pseudodistances that may be negative," Psychometrika, Springer;The Psychometric Society, vol. 56(1), pages 7-27, March.
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  72. Weijie J. Su, 2022. "A Truthful Owner-Assisted Scoring Mechanism," Papers 2206.08149, arXiv.org.
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  82. Silvia Vilčeková & Ilija Zoran Apostoloski & Ľudmila Mečiarová & Eva Krídlová Burdová & Jozef Kiseľák, 2017. "Investigation of Indoor Air Quality in Houses of Macedonia," IJERPH, MDPI, vol. 14(1), pages 1-12, January.
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