IDEAS home Printed from https://ideas.repec.org/a/spr/psycho/v28y1963i4p333-367.html
   My bibliography  Save this article

An individual differences model for multidimensional scaling

Author

Listed:
  • Ledyard Tucker
  • Samuel Messick

Abstract

No abstract is available for this item.

Suggested Citation

  • Ledyard Tucker & Samuel Messick, 1963. "An individual differences model for multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 28(4), pages 333-367, December.
    • Handle: RePEc:spr:psycho:v:28:y:1963:i:4:p:333-367
    DOI: 10.1007/BF02289557
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/BF02289557
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/BF02289557?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Norman Cliff, 1962. "Analytic rotation to a functional relationship," Psychometrika, Springer;The Psychometric Society, vol. 27(3), pages 283-295, September.
    2. 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.
    3. Samuel Messick & Robert Abelson, 1956. "The additive constant problem in multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 21(1), pages 1-15, March.
    4. 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.
    5. Ernest Adams & Samuel Messick, 1958. "An axiomatic formulation and generalization of successive intervals scaling," Psychometrika, Springer;The Psychometric Society, vol. 23(4), pages 355-368, December.
    6. Gertrude Diederich & Samuel Messick & Ledyard Tucker, 1957. "A general least squares solution for successive intervals," Psychometrika, Springer;The Psychometric Society, vol. 22(2), pages 159-173, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lee Cooper, 1972. "A new solution to the additive constant problem in metric multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 37(3), pages 311-322, September.
    2. Peter Schönemann, 1972. "An algebraic solution for a class of subjective metrics models," Psychometrika, Springer;The Psychometric Society, vol. 37(4), pages 441-451, December.
    3. Giuseppe Bove & Akinori Okada, 2018. "Methods for the analysis of asymmetric pairwise relationships," 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(1), pages 5-31, March.
    4. Dawn Iacobucci & Doug Grisaffe & Wayne DeSarbo, 2017. "Statistical perceptual maps: using confidence region ellipses to enhance the interpretations of brand positions in multidimensional scaling," Journal of Marketing Analytics, Palgrave Macmillan, vol. 5(3), pages 81-98, December.
    5. Pieter M. Kroonenberg & Cornelis J. Lammers & Ineke Stoop, 1985. "Three-Mode Principal Component Analysis of Multivariate Longitudinal Organizational Data," Sociological Methods & Research, , vol. 14(2), pages 99-136, November.
    6. Köhn, Hans-Friedrich, 2010. "Representation of individual differences in rectangular proximity data through anti-Q matrix decomposition," Computational Statistics & Data Analysis, Elsevier, vol. 54(10), pages 2343-2357, October.
    7. Henk Kiers, 1991. "Hierarchical relations among three-way methods," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 449-470, September.
    8. M. Corballis, 1971. "Comparison of ranks of cross-product and covariance solutions in component analysis," Psychometrika, Springer;The Psychometric Society, vol. 36(3), pages 243-249, September.
    9. Robert MacCallum, 1979. "Recovery of structure in incomplete data by alscal," Psychometrika, Springer;The Psychometric Society, vol. 44(1), pages 69-74, March.
    10. David Bimler, 2013. "Two applications of the Points-of-View model to subject variations in sorting data," Quality & Quantity: International Journal of Methodology, Springer, vol. 47(2), pages 775-790, February.
    11. Pieter Kroonenberg & Jan Leeuw, 1980. "Principal component analysis of three-mode data by means of alternating least squares algorithms," Psychometrika, Springer;The Psychometric Society, vol. 45(1), pages 69-97, March.
    12. 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.
    13. 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.
    14. Simon Blanchard & Daniel Aloise & Wayne DeSarbo, 2012. "The Heterogeneous P-Median Problem for Categorization Based Clustering," Psychometrika, Springer;The Psychometric Society, vol. 77(4), pages 741-762, October.
    15. Akinori Okada & Tadashi Imaizumi, 1997. "Asymmetric multidimensional scaling of two-mode three-way proximities," Journal of Classification, Springer;The Classification Society, vol. 14(2), pages 195-224, September.
    16. C. Horan, 1969. "Multidimensional scaling: Combining observations when individuals have different perceptual structures," Psychometrika, Springer;The Psychometric Society, vol. 34(2), pages 139-165, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Venera Tomaselli, 1996. "Multivariate statistical techniques and sociological research," Quality & Quantity: International Journal of Methodology, Springer, vol. 30(3), pages 253-276, August.
    2. 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.
    3. Maital, Shlomo, 1976. "Multidimensional Scaling: Some Economic Applications," Foerder Institute for Economic Research Working Papers 275316, Tel-Aviv University > Foerder Institute for Economic Research.
    4. Jan Leeuw & Jacqueline Meulman, 1986. "A special Jackknife for Multidimensional Scaling," Journal of Classification, Springer;The Classification Society, vol. 3(1), pages 97-112, March.
    5. Warren Torgerson, 1965. "Multidimensional scaling of similarity," Psychometrika, Springer;The Psychometric Society, vol. 30(4), pages 379-393, December.
    6. Henk Kiers & Donatella Vicari & Maurizio Vichi, 2005. "Simultaneous classification and multidimensional scaling with external information," Psychometrika, Springer;The Psychometric Society, vol. 70(3), pages 433-460, September.
    7. C. Horan, 1969. "Multidimensional scaling: Combining observations when individuals have different perceptual structures," Psychometrika, Springer;The Psychometric Society, vol. 34(2), pages 139-165, June.
    8. Roger Shepard, 1974. "Representation of structure in similarity data: Problems and prospects," Psychometrika, Springer;The Psychometric Society, vol. 39(4), pages 373-421, December.
    9. Brain, M.J & Nahuelhual, L. & Gelcich, S. & Bozzeda, F., 2020. "Marine conservation may not deliver ecosystem services and benefits to all: Insights from Chilean Patagonia," Ecosystem Services, Elsevier, vol. 45(C).
    10. H. Micko, 1970. "A “halo”-model for multidimensional ratio scaling," Psychometrika, Springer;The Psychometric Society, vol. 35(2), pages 199-227, June.
    11. Gert Storms, 1995. "On the robustness of maximum likelihood scaling for violations of the error model," Psychometrika, Springer;The Psychometric Society, vol. 60(2), pages 247-258, June.
    12. 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).
    13. J. Hutchinson & Amitabh Mungale, 1997. "Pairwise partitioning: A nonmetric algorithm for identifying feature-based similarity structures," Psychometrika, Springer;The Psychometric Society, vol. 62(1), pages 85-117, March.
    14. J. Carroll, 1985. "Review," Psychometrika, Springer;The Psychometric Society, vol. 50(1), pages 133-140, March.
    15. Bijmolt, T.H.A. & Wedel, M., 1996. "A Monte Carlo Evaluation of Maximum Likelihood Multidimensional Scaling Methods," Other publications TiSEM f72cc9d8-f370-43aa-a224-4, Tilburg University, School of Economics and Management.
    16. Albert Maydeu-Olivares & Ishwar Sethi & Phipps Arabie & A. Tanguiane & K. Klauer & Pierre Hansen & Klaas Sijtsma & M. Windham, 1995. "Book reviews," Journal of Classification, Springer;The Classification Society, vol. 12(1), pages 137-158, March.
    17. Phipps Arabie & J. Carroll, 1980. "Mapclus: A mathematical programming approach to fitting the adclus model," Psychometrika, Springer;The Psychometric Society, vol. 45(2), pages 211-235, June.
    18. Kenneth Mullen & Daniel Ennis, 1987. "Mathematical formulation of multivariate euclidean models for discrimination methods," Psychometrika, Springer;The Psychometric Society, vol. 52(2), pages 235-249, June.
    19. 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.
    20. A. H. Al-Ibrahim, 2019. "A Framework for Quantifying Qualitative Responses in Pairwise Experiments," Journal of Classification, Springer;The Classification Society, vol. 36(3), pages 471-492, October.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:psycho:v:28:y:1963:i:4:p:333-367. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.