IDEAS home Printed from https://ideas.repec.org/a/spr/psycho/v76y2011i1p3-12.html
   My bibliography  Save this article

Simplicity and Typical Rank Results for Three-Way Arrays

Author

Listed:
  • Jos Berge

Abstract

No abstract is available for this item.

Suggested Citation

  • Jos Berge, 2011. "Simplicity and Typical Rank Results for Three-Way Arrays," Psychometrika, Springer;The Psychometric Society, vol. 76(1), pages 3-12, January.
    • Handle: RePEc:spr:psycho:v:76:y:2011:i:1:p:3-12
    DOI: 10.1007/s11336-010-9193-1
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11336-010-9193-1
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11336-010-9193-1?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. Jos Berge, 1991. "Kruskal's polynomial for 2×2×2 arrays and a generalization to 2×n×n arrays," Psychometrika, Springer;The Psychometric Society, vol. 56(4), pages 631-636, December.
    2. Roberto Rocci & Jos Berge, 1994. "A simplification of a result by zellini on the maximal rank of symmetric three-way arrays," Psychometrika, Springer;The Psychometric Society, vol. 59(3), pages 377-380, September.
    3. Kiers, Henk A. L., 1998. "Three-way SIMPLIMAX for oblique rotation of the three-mode factor analysis core to simple structure," Computational Statistics & Data Analysis, Elsevier, vol. 28(3), pages 307-324, September.
    4. Mohammed Dosse & Jos Berge, 2008. "The Assumption of Proportional Components when Candecomp is Applied to Symmetric Matrices in the Context of Indscal," Psychometrika, Springer;The Psychometric Society, vol. 73(2), pages 303-307, 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. Albers, Casper J. & Gower, John C., 2014. "A contribution to the visualisation of three-way arrays," Journal of Multivariate Analysis, Elsevier, vol. 132(C), pages 1-8.

    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. Peter J. Forrester & Santosh Kumar, 2018. "The Probability That All Eigenvalues are Real for Products of Truncated Real Orthogonal Random Matrices," Journal of Theoretical Probability, Springer, vol. 31(4), pages 2056-2071, December.
    2. Rosaria Lombardo & Eric J. Beh & Luis Guerrero, 2019. "Analysis of three-way non-symmetrical association of food concepts in cross-cultural marketing," Quality & Quantity: International Journal of Methodology, Springer, vol. 53(5), pages 2323-2337, September.
    3. Jos Berge, 2000. "The typical rank of tall three-way arrays," Psychometrika, Springer;The Psychometric Society, vol. 65(4), pages 525-532, December.
    4. Kohei Adachi, 2009. "Joint Procrustes Analysis for Simultaneous Nonsingular Transformation of Component Score and Loading Matrices," Psychometrika, Springer;The Psychometric Society, vol. 74(4), pages 667-683, December.
    5. Yoshio Takane & Kwanghee Jung & Heungsun Hwang, 2010. "An acceleration method for Ten Berge et al.’s algorithm for orthogonal INDSCAL," Computational Statistics, Springer, vol. 25(3), pages 409-428, September.
    6. Mohammed Dosse & Jos Berge & Jorge Tendeiro, 2011. "Some New Results on Orthogonally Constrained Candecomp," Journal of Classification, Springer;The Classification Society, vol. 28(2), pages 144-155, July.
    7. Roberto Rocci & Jos Berge, 2002. "Transforming three-way arrays to maximal simplicity," Psychometrika, Springer;The Psychometric Society, vol. 67(3), pages 351-365, September.
    8. Mohammed Bennani Dosse & Jos Berge, 2010. "Anisotropic Orthogonal Procrustes Analysis," Journal of Classification, Springer;The Classification Society, vol. 27(1), pages 111-128, March.
    9. Takashi Murakami & Jos Berge & Henk Kiers, 1998. "A case of extreme simplicity of the core matrix in three-mode principal components analysis," Psychometrika, Springer;The Psychometric Society, vol. 63(3), pages 255-261, September.
    10. Ikemoto, Hiroki & Adachi, Kohei, 2016. "Sparse Tucker2 analysis of three-way data subject to a constrained number of zero elements in a core array," Computational Statistics & Data Analysis, Elsevier, vol. 98(C), pages 1-18.
    11. Lombardo, Rosaria & Camminatiello, Ida & D'Ambra, Antonello & Beh, Eric J., 2021. "Assessing the Italian tax courts system by weighted three-way log-ratio analysis," Socio-Economic Planning Sciences, Elsevier, vol. 73(C).
    12. Stegeman, Alwin, 2014. "Finding the limit of diverging components in three-way Candecomp/Parafac—A demonstration of its practical merits," Computational Statistics & Data Analysis, Elsevier, vol. 75(C), pages 203-216.
    13. Siciliano, Roberta & Mooijaart, Ab, 1997. "Three-factor association models for three-way contingency tables," Computational Statistics & Data Analysis, Elsevier, vol. 24(3), pages 337-356, May.
    14. Kohei Adachi, 2011. "Three-Way Tucker2 Component Analysis Solutions of Stimuli × Responses × Individuals Data with Simple Structure and the Fewest Core Differences," Psychometrika, Springer;The Psychometric Society, vol. 76(2), pages 285-305, April.

    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:76:y:2011:i:1:p:3-12. 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.