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Was euclid an unnecessarily sophisticated psychologist?

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  • Phipps Arabie

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  • Phipps Arabie, 1991. "Was euclid an unnecessarily sophisticated psychologist?," Psychometrika, Springer;The Psychometric Society, vol. 56(4), pages 567-587, December.
  • Handle: RePEc:spr:psycho:v:56:y:1991:i:4:p:567-587
    DOI: 10.1007/BF02294491
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    References listed on IDEAS

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    1. Roger Shepard, 1974. "Representation of structure in similarity data: Problems and prospects," Psychometrika, Springer;The Psychometric Society, vol. 39(4), pages 373-421, December.
    2. P. Hansen & D. Peeters & J.-F. Thisse, 1982. "An Algorithm for a Constrained Weber Problem," Management Science, INFORMS, vol. 28(11), pages 1285-1295, November.
    3. Terrence Dunn & Richard Harshman, 1982. "A multidimensional scaling model for the size-weight illusion," Psychometrika, Springer;The Psychometric Society, vol. 47(1), pages 25-45, March.
    4. 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.
    5. 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;The Classification Society, vol. 4(2), pages 155-173, September.
    6. 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.
    7. J. Carroll & Jih-Jie Chang, 1970. "Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition," Psychometrika, Springer;The Psychometric Society, vol. 35(3), pages 283-319, September.
    8. 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.
    9. 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.
    10. G D Richardson, 1981. "The Appropriateness of Using Various Minkowskian Metrics for Representing Cognitive Configurations," Environment and Planning A, , vol. 13(4), pages 475-485, April.
    11. Rashi Glazer & Kent Nakamoto, 1991. "Cognitive Geometry: An Analysis of Structure Underlying Representations of Similarity," Marketing Science, INFORMS, vol. 10(3), pages 205-228.
    12. Lawrence Hubert & Phipps Arabie, 1985. "Comparing partitions," Journal of Classification, Springer;The Classification Society, vol. 2(1), pages 193-218, December.
    13. J. Kruskal, 1964. "Nonmetric multidimensional scaling: A numerical method," Psychometrika, Springer;The Psychometric Society, vol. 29(2), pages 115-129, June.
    14. 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.
    15. Schmalensee, Richard. & Thisse, Jacques François., 1985. "Perceptual maps and the optimal location of new products," Working papers 1722-85., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    16. J. Ramsay, 1977. "Maximum likelihood estimation in multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 241-266, June.
    17. 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.
    18. Charles Sherman, 1972. "Nonmetric multidimensional scaling: A monte carlo study of the basic parameters," Psychometrika, Springer;The Psychometric Society, vol. 37(3), pages 323-355, September.
    19. G Rushton & J-C Thill, 1989. "The Effect of Distance Metric on the Degree of Spatial Competition between Firms," Environment and Planning A, , vol. 21(4), pages 499-507, April.
    20. Lawrence Hubert, 1984. "Statistical applications of linear assignment," Psychometrika, Springer;The Psychometric Society, vol. 49(4), pages 449-473, December.
    21. Rao, Vithala R & Sabavala, Darius Jal, 1981. " Inference in Hierarchical Choice Processes from Panel Data," Journal of Consumer Research, Oxford University Press, vol. 8(1), pages 85-96, June.
    22. J. Gower & P. Legendre, 1986. "Metric and Euclidean properties of dissimilarity coefficients," Journal of Classification, Springer;The Classification Society, vol. 3(1), pages 5-48, March.
    23. 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.
    24. 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.
    25. Gilles Celeux & Gérard Govaert, 1991. "Clustering criteria for discrete data and latent class models," Journal of Classification, Springer;The Classification Society, vol. 8(2), pages 157-176, December.
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    Citations

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    Cited by:

    1. Eguia, Jon X., 2008. "The Foundations of Spatial Preferences," Working Papers 08-01, C.V. Starr Center for Applied Economics, New York University.
    2. Roland G. Fryer & Matthew O. Jackson, 2002. "Categorical Cognition: A Psychological Model of Categories and Identification in Decision Making," Microeconomics 0211002, EconWPA.
    3. 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.
    4. Julius Žilinskas, 2012. "Parallel branch and bound for multidimensional scaling with city-block distances," Journal of Global Optimization, Springer, vol. 54(2), pages 261-274, October.
    5. Kohn, Hans-Friedrich, 2006. "Combinatorial individual differences scaling within the city-block metric," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 931-946, November.
    6. Patrick Groenen & Rudolf Mathar & Willem Heiser, 1995. "The majorization approach to multidimensional scaling for Minkowski distances," Journal of Classification, Springer;The Classification Society, vol. 12(1), pages 3-19, March.
    7. 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.
    8. repec:spr:compst:v:68:y:2008:i:3:p:429-443 is not listed on IDEAS
    9. Choulakian, Vartan, 2005. "Transposition invariant principal component analysis in L1 for long tailed data," Statistics & Probability Letters, Elsevier, vol. 71(1), pages 23-31, January.
    10. 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 & D, 1994. "Book reviews," Journal of Classification, Springer;The Classification Society, vol. 11(2), pages 251-296, September.
    11. Antanas Žilinskas & Julius Žilinskas, 2008. "A hybrid method for multidimensional scaling using city-block distances," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 68(3), pages 429-443, December.
    12. Ehtibar Dzhafarov & Hans Colonius, 2006. "Reconstructing Distances among Objects from Their Discriminability," Psychometrika, Springer;The Psychometric Society, vol. 71(2), pages 365-386, June.
    13. 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.
    14. Iwin Leenen & Iven Mechelen, 2004. "A conjunctive parallelogram model for pick any/n data," Psychometrika, Springer;The Psychometric Society, vol. 69(3), pages 401-420, September.

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