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Was euclid an unnecessarily sophisticated psychologist?

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Author Info
Phipps Arabie
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File URL: http://hdl.handle.net/10.1007/BF02294491
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Article provided by Springer in its journal Psychometrika.

Volume (Year): 56 (1991)
Issue (Month): 4 (December)
Pages: 567-587
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Handle: RePEc:spr:psycho:v:56:y:1991:i:4:p:567-587

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Related research
Keywords: multidimensional scaling; facility planing; city-block distances; Minkowski metrics; rectangular metric; rectilinear metric; Manhattan metric; combination rules;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Roger Shepard, 1962. "The analysis of proximities: Multidimensional scaling with an unknown distance function. I," Psychometrika, Springer, vol. 27(2), pages 125-140, June. [Downloadable!] (restricted)
  2. Terrence Dunn & Richard Harshman, 1982. "A multidimensional scaling model for the size-weight illusion," Psychometrika, Springer, vol. 47(1), pages 25-45, March. [Downloadable!] (restricted)
  3. Richardson, Harry W. & Anjomani, Ardeshir, 1981. "The diamond city: The case for rectangular grid models," Socio-Economic Planning Sciences, Elsevier, vol. 15(6), pages 295-303. [Downloadable!] (restricted)
  4. Roger Shepard, 1974. "Representation of structure in similarity data: Problems and prospects," Psychometrika, Springer, vol. 39(4), pages 373-421, December. [Downloadable!] (restricted)
  5. J. Carroll & Jih-Jie Chang, 1970. "Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition," Psychometrika, Springer, vol. 35(3), pages 283-319, September. [Downloadable!] (restricted)
  6. J. Gower & P. Legendre, 1986. "Metric and Euclidean properties of dissimilarity coefficients," Journal of Classification, Springer, vol. 3(1), pages 5-48, March. [Downloadable!] (restricted)
  7. Lawrence Hubert & Phipps Arabie, 1985. "Comparing partitions," Journal of Classification, Springer, vol. 2(1), pages 193-218, December. [Downloadable!] (restricted)
  8. G D Richardson, 1981. "The appropriateness of using various Minkowskian metrics for representing cognitive configurations," Environment and Planning A, Pion Ltd, London, vol. 13(4), pages 475-485, April. [Downloadable!] (restricted)
  9. Eaton, B. Curtis & Lipsey, Richard G., 1980. "The block metric and the law of markets," Journal of Urban Economics, Elsevier, vol. 7(3), pages 337-347, May. [Downloadable!] (restricted)
  10. Charles Sherman, 1972. "Nonmetric multidimensional scaling: A monte carlo study of the basic parameters," Psychometrika, Springer, vol. 37(3), pages 323-355, September. [Downloadable!] (restricted)
  11. Roger Shepard, 1962. "The analysis of proximities: Multidimensional scaling with an unknown distance function. II," Psychometrika, Springer, vol. 27(3), pages 219-246, September. [Downloadable!] (restricted)
  12. Rao, Vithala R & Sabavala, Darius Jal, 1981. " Inference in Hierarchical Choice Processes from Panel Data," Journal of Consumer Research: An Interdisciplinary Quarterly, University of Chicago Press, vol. 8(1), pages 85-96, June.
  13. J. Kruskal, 1964. "Nonmetric multidimensional scaling: A numerical method," Psychometrika, Springer, vol. 29(2), pages 115-129, June. [Downloadable!] (restricted)
  14. J. Kruskal, 1964. "Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis," Psychometrika, Springer, vol. 29(1), pages 1-27, March. [Downloadable!] (restricted)
  15. Schmalensee, R. & Thisse, J.-F., 1986. "Perceptual maps and the optimal location of new products," CORE Discussion Papers 1986020, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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  16. Von Hohenbalken, Balder & West, Douglas S., 1984. "Manhattan versus Euclid : Market areas computed and compared," Regional Science and Urban Economics, Elsevier, vol. 14(1), pages 19-35, February. [Downloadable!] (restricted)
  17. Geert Soete & J. Carroll & Wayne DeSarbo, 1987. "Least squares algorithms for constructing constrained ultrametric and additive tree representations of symmetric proximity data," Journal of Classification, Springer, vol. 4(2), pages 155-173, September. [Downloadable!] (restricted)
  18. Gilles Celeux & Gérard Govaert, 1991. "Clustering criteria for discrete data and latent class models," Journal of Classification, Springer, vol. 8(2), pages 157-176, December. [Downloadable!] (restricted)
  19. J. Ramsay, 1977. "Maximum likelihood estimation in multidimensional scaling," Psychometrika, Springer, vol. 42(2), pages 241-266, June. [Downloadable!] (restricted)
  20. G Rushton & J-C Thill, 1989. "The effect of distance metric on the degree of spatial competition between firms," Environment and Planning A, Pion Ltd, London, vol. 21(4), pages 499-507, April. [Downloadable!] (restricted)
  21. Lawrence Hubert, 1984. "Statistical applications of linear assignment," Psychometrika, Springer, vol. 49(4), pages 449-473, December. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Patrick Groenen & Willem Heiser, 1996. "The tunneling method for global optimization in multidimensional scaling," Psychometrika, Springer, vol. 61(3), pages 529-550, September. [Downloadable!] (restricted)
  2. 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, vol. 14(2), pages 249-267, September. [Downloadable!] (restricted)
  3. Ehtibar Dzhafarov & Hans Colonius, 2006. "Reconstructing Distances among Objects from Their Discriminability," Psychometrika, Springer, vol. 71(2), pages 365-386, June. [Downloadable!] (restricted)
  4. Patrick Groenen & Rudolf Mathar & Willem Heiser, 1995. "The majorization approach to multidimensional scaling for Minkowski distances," Journal of Classification, Springer, vol. 12(1), pages 3-19, March. [Downloadable!] (restricted)
  5. Iwin Leenen & Iven Mechelen, 2004. "A conjunctive parallelogram model for pick any/n data," Psychometrika, Springer, vol. 69(3), pages 401-420, September. [Downloadable!] (restricted)
  6. D. Hand & Ove Frank & W. Gödert & H. Bacelar-Nicolau & Sarunas Raudys & A. Bowman & Glenn Milligan & R. Hathaway & R. Ivimey-Cook & B. Everitt & Allan Wilks & B. Ripley & Wayne DeSarbo & A. Gordon & , 1994. "Book reviews," Journal of Classification, Springer, vol. 11(2), pages 251-296, September. [Downloadable!] (restricted)
  7. Michael Brusco & Stephanie Stahl, 2001. "An interactive multiobjective programming approach to combinatorial data analysis," Psychometrika, Springer, vol. 66(1), pages 5-24, March. [Downloadable!] (restricted)
  8. Roland G. Fryer, Jr. & Matthew O. Jackson, 2003. "Categorical Cognition: A Psychological Model of Categories and Identification in Decision Making," NBER Working Papers 9579, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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