IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/582731.html
   My bibliography  Save this article

Ordering Properties of the First Eigenvector of Certain Similarity Matrices

Author

Listed:
  • Matthijs J. Warrens
  • Alexandra de Raadt

Abstract

It is shown for coefficient matrices of Russell-Rao coefficients and two asymmetric Dice coefficients that ordinal information on a latent variable model can be obtained from the eigenvector corresponding to the largest eigenvalue.

Suggested Citation

  • Matthijs J. Warrens & Alexandra de Raadt, 2015. "Ordering Properties of the First Eigenvector of Certain Similarity Matrices," Journal of Mathematics, Hindawi, vol. 2015, pages 1-5, November.
    • Handle: RePEc:hin:jjmath:582731
    DOI: 10.1155/2015/582731
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JMATH/2015/582731.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JMATH/2015/582731.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/582731?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
    ---><---

    References listed on IDEAS

    as
    1. Matthijs Warrens, 2008. "On Similarity Coefficients for 2×2 Tables and Correction for Chance," Psychometrika, Springer;The Psychometric Society, vol. 73(3), pages 487-502, September.
    2. 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.
    3. Matthijs Warrens, 2008. "On Association Coefficients for 2×2 Tables and Properties That Do Not Depend on the Marginal Distributions," Psychometrika, Springer;The Psychometric Society, vol. 73(4), pages 777-789, December.
    4. Matthijs Warrens, 2014. "Corrected Zegers-ten Berge Coefficients Are Special Cases of Cohen’s Weighted Kappa," Journal of Classification, Springer;The Classification Society, vol. 31(2), pages 179-193, July.
    5. Rizopoulos, Dimitris, 2006. "ltm: An R Package for Latent Variable Modeling and Item Response Analysis," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 17(i05).
    6. F. Baulieu, 1989. "A classification of presence/absence based dissimilarity coefficients," Journal of Classification, Springer;The Classification Society, vol. 6(1), pages 233-246, December.
    7. Matthijs Warrens, 2008. "Bounds of Resemblance Measures for Binary (Presence/Absence) Variables," Journal of Classification, Springer;The Classification Society, vol. 25(2), pages 195-208, November.
    8. Matthijs Warrens, 2008. "On the Indeterminacy of Resemblance Measures for Binary (Presence/Absence) Data," Journal of Classification, Springer;The Classification Society, vol. 25(1), pages 125-136, June.
    9. Matthijs Warrens, 2009. "On Robinsonian dissimilarities, the consecutive ones property and latent variable models," 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. 3(2), pages 169-184, September.
    10. Ahmed N. Albatineh & Magdalena Niewiadomska-Bugaj & Daniel Mihalko, 2006. "On Similarity Indices and Correction for Chance Agreement," Journal of Classification, Springer;The Classification Society, vol. 23(2), pages 301-313, September.
    Full references (including those not matched with items on IDEAS)

    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. Matthijs J. Warrens, 2014. "New Interpretations of Cohen’s Kappa," Journal of Mathematics, Hindawi, vol. 2014, pages 1-9, September.
    2. Matthijs J. Warrens & Hanneke Hoef, 2022. "Understanding the Adjusted Rand Index and Other Partition Comparison Indices Based on Counting Object Pairs," Journal of Classification, Springer;The Classification Society, vol. 39(3), pages 487-509, November.
    3. Antonio D’Ambrosio & Sonia Amodio & Carmela Iorio & Giuseppe Pandolfo & Roberta Siciliano, 2021. "Adjusted Concordance Index: an Extensionl of the Adjusted Rand Index to Fuzzy Partitions," Journal of Classification, Springer;The Classification Society, vol. 38(1), pages 112-128, April.
    4. Jonathon J. O’Brien & Michael T. Lawson & Devin K. Schweppe & Bahjat F. Qaqish, 2020. "Suboptimal Comparison of Partitions," Journal of Classification, Springer;The Classification Society, vol. 37(2), pages 435-461, July.
    5. Matthijs Warrens, 2010. "A Kraemer-type Rescaling that Transforms the Odds Ratio into the Weighted Kappa Coefficient," Psychometrika, Springer;The Psychometric Society, vol. 75(2), pages 328-330, June.
    6. Isabella Morlini & Sergio Zani, 2012. "A New Class of Weighted Similarity Indices Using Polytomous Variables," Journal of Classification, Springer;The Classification Society, vol. 29(2), pages 199-226, July.
    7. José E. Chacón, 2021. "Explicit Agreement Extremes for a 2 × 2 Table with Given Marginals," Journal of Classification, Springer;The Classification Society, vol. 38(2), pages 257-263, July.
    8. Stefano Tonellato & Andrea Pastore, 2013. "On the comparison of model-based clustering solutions," Working Papers 2013:05, Department of Economics, University of Venice "Ca' Foscari".
    9. Matthijs Warrens, 2008. "On Association Coefficients for 2×2 Tables and Properties That Do Not Depend on the Marginal Distributions," Psychometrika, Springer;The Psychometric Society, vol. 73(4), pages 777-789, December.
    10. Francis Caillez & Pascale Kuntz, 1996. "A contribution to the study of the metric and Euclidean structures of dissimilarities," Psychometrika, Springer;The Psychometric Society, vol. 61(2), pages 241-253, June.
    11. Matthijs J. Warrens, 2016. "Inequalities Between Similarities for Numerical Data," Journal of Classification, Springer;The Classification Society, vol. 33(1), pages 141-148, April.
    12. Matthijs Warrens, 2008. "On the Equivalence of Cohen’s Kappa and the Hubert-Arabie Adjusted Rand Index," Journal of Classification, Springer;The Classification Society, vol. 25(2), pages 177-183, November.
    13. Matthijs Warrens, 2009. "On Robinsonian dissimilarities, the consecutive ones property and latent variable models," 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. 3(2), pages 169-184, September.
    14. Ahmed Albatineh & Magdalena Niewiadomska-Bugaj, 2011. "Correcting Jaccard and other similarity indices for chance agreement in cluster analysis," 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. 5(3), pages 179-200, October.
    15. Matthijs Warrens, 2009. "k-Adic Similarity Coefficients for Binary (Presence/Absence) Data," Journal of Classification, Springer;The Classification Society, vol. 26(2), pages 227-245, August.
    16. Guohuan Su & Adam Mertel & Sébastien Brosse & Justin M. Calabrese, 2023. "Species invasiveness and community invasibility of North American freshwater fish fauna revealed via trait-based analysis," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    17. Balepur, Prashant Narayan, 1998. "Impacts of Computer-Mediated Communication on Travel and Communication Patterns: The Davis Community Network Study," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt6cb1f85c, Institute of Transportation Studies, UC Berkeley.
    18. Yang Yixin & Lü Xin & Ma Jian & Qiao Han, 2014. "A Robust Factor Analysis Model for Dichotomous Data," Journal of Systems Science and Information, De Gruyter, vol. 2(5), pages 437-450, October.
    19. Arulmani Thiyagarajan & Tyler G. James & Roy Rillera Marzo, 2022. "Psychometric properties of the 21-item Depression, Anxiety, and Stress Scale (DASS-21) among Malaysians during COVID-19: a methodological study," Palgrave Communications, Palgrave Macmillan, vol. 9(1), pages 1-8, December.
    20. Douglas L. Steinley & M. J. Brusco, 2019. "Using an Iterative Reallocation Partitioning Algorithm to Verify Test Multidimensionality," Journal of Classification, Springer;The Classification Society, vol. 36(3), pages 397-413, 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:hin:jjmath:582731. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.