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Was euclid an unnecessarily sophisticated psychologist?

  • 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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    1. Lawrence Hubert & Phipps Arabie, 1985. "Comparing partitions," Journal of Classification, Springer, vol. 2(1), pages 193-218, December.
    2. 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.
    3. J. Kruskal, 1964. "Nonmetric multidimensional scaling: A numerical method," Psychometrika, Springer, vol. 29(2), pages 115-129, June.
    4. Roger Shepard, 1962. "The analysis of proximities: Multidimensional scaling with an unknown distance function. I," Psychometrika, Springer, vol. 27(2), pages 125-140, June.
    5. J. Gower & P. Legendre, 1986. "Metric and Euclidean properties of dissimilarity coefficients," Journal of Classification, Springer, vol. 3(1), pages 5-48, March.
    6. 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.
    7. 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.
    8. 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.
    9. Roger Shepard, 1974. "Representation of structure in similarity data: Problems and prospects," Psychometrika, Springer, vol. 39(4), pages 373-421, December.
    10. J. Ramsay, 1977. "Maximum likelihood estimation in multidimensional scaling," Psychometrika, Springer, vol. 42(2), pages 241-266, June.
    11. J. Kruskal, 1964. "Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis," Psychometrika, Springer, vol. 29(1), pages 1-27, March.
    12. 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.
    13. Charles Sherman, 1972. "Nonmetric multidimensional scaling: A monte carlo study of the basic parameters," Psychometrika, Springer, vol. 37(3), pages 323-355, September.
    14. 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.
    15. Rashi Glazer & Kent Nakamoto, 1991. "Cognitive Geometry: An Analysis of Structure Underlying Representations of Similarity," Marketing Science, INFORMS, vol. 10(3), pages 205-228.
    16. Rao, Vithala R & Sabavala, Darius Jal, 1981. " Inference in Hierarchical Choice Processes from Panel Data," Journal of Consumer Research, University of Chicago Press, vol. 8(1), pages 85-96, June.
    17. 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.
    18. Roger Shepard, 1962. "The analysis of proximities: Multidimensional scaling with an unknown distance function. II," Psychometrika, Springer, vol. 27(3), pages 219-246, September.
    19. 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.
    20. 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.
    21. Lawrence Hubert, 1984. "Statistical applications of linear assignment," Psychometrika, Springer, vol. 49(4), pages 449-473, December.
    22. 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.
    23. Terrence Dunn & Richard Harshman, 1982. "A multidimensional scaling model for the size-weight illusion," Psychometrika, Springer, vol. 47(1), pages 25-45, March.
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