IDEAS home Printed from https://ideas.repec.org/a/spr/psycho/v47y1982i3p243-264.html
   My bibliography  Save this article

Weighted minimum trace factor analysis

Author

Listed:
  • Alexander Shapiro

Abstract

No abstract is available for this item.

Suggested Citation

  • Alexander Shapiro, 1982. "Weighted minimum trace factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 47(3), pages 243-264, September.
    • Handle: RePEc:spr:psycho:v:47:y:1982:i:3:p:243-264
    DOI: 10.1007/BF02294158
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/BF02294158
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/BF02294158?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. Louis Guttman, 1956. "“Best possible” systematic estimates of communalities," Psychometrika, Springer;The Psychometric Society, vol. 21(3), pages 273-285, September.
    2. Alexander Shapiro, 1982. "Rank-reducibility of a symmetric matrix and sampling theory of minimum trace factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 47(2), pages 187-199, June.
    3. Paul Jackson & Christian Agunwamba, 1977. "Lower bounds for the reliability of the total score on a test composed of non-homogeneous items: I: Algebraic lower bounds," Psychometrika, Springer;The Psychometric Society, vol. 42(4), pages 567-578, December.
    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. Li Cui & Lu Liu & Di-Rong Chen & Jian-Feng Xie, 2016. "Recovery of Low Rank Symmetric Matrices via Schatten p Norm Minimization," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(01), pages 1-11, February.
    2. Paul Bekker & Jan Leeuw, 1987. "The rank of reduced dispersion matrices," Psychometrika, Springer;The Psychometric Society, vol. 52(1), pages 125-135, March.
    3. Alexander Shapiro, 1982. "Rank-reducibility of a symmetric matrix and sampling theory of minimum trace factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 47(2), pages 187-199, June.
    4. M Dror & B C Hartman, 2011. "Survey of cooperative inventory games and extensions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(4), pages 565-580, April.
    5. Samuel Burer & Moshe Dror, 2012. "Newsvendor games: convex optimization of centralized inventory operations," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(3), pages 707-728, October.
    6. Jos Berge & Willem Hofstee, 1999. "Coefficients alpha and reliabilities of unrotated and rotated components," Psychometrika, Springer;The Psychometric Society, vol. 64(1), pages 83-90, March.
    7. Jos Berge & Henk Kiers, 1991. "A numerical approach to the approximate and the exact minimum rank of a covariance matrix," Psychometrika, Springer;The Psychometric Society, vol. 56(2), pages 309-315, June.
    8. Armeen Taeb & Parikshit Shah & Venkat Chandrasekaran, 2020. "False discovery and its control in low rank estimation," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 82(4), pages 997-1027, September.

    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. Tyler Hunt & Peter Bentler, 2015. "Quantile Lower Bounds to Reliability Based on Locally Optimal Splits," Psychometrika, Springer;The Psychometric Society, vol. 80(1), pages 182-195, March.
    2. Jos Berge & Gregor Sočan, 2004. "The greatest lower bound to the reliability of a test and the hypothesis of unidimensionality," Psychometrika, Springer;The Psychometric Society, vol. 69(4), pages 613-625, December.
    3. Jos Berge & Henk Kiers, 1991. "A numerical approach to the approximate and the exact minimum rank of a covariance matrix," Psychometrika, Springer;The Psychometric Society, vol. 56(2), pages 309-315, June.
    4. Klaas Sijtsma & Jules L. Ellis & Denny Borsboom, 2024. "Recognize the Value of the Sum Score, Psychometrics’ Greatest Accomplishment," Psychometrika, Springer;The Psychometric Society, vol. 89(1), pages 84-117, March.
    5. Gerhard Tutz & Pascal Jordan, 2024. "Latent Trait Item Response Models for Continuous Responses," Journal of Educational and Behavioral Statistics, , vol. 49(4), pages 499-532, August.
    6. Shapiro, Alexander, 2009. "Asymptotic normality of test statistics under alternative hypotheses," Journal of Multivariate Analysis, Elsevier, vol. 100(5), pages 936-945, May.
    7. Klaas Sijtsma & Ivo Molenaar, 1987. "Reliability of test scores in nonparametric item response theory," Psychometrika, Springer;The Psychometric Society, vol. 52(1), pages 79-97, March.
    8. Kaufmann, Sylvia & Schumacher, Christian, 2019. "Bayesian estimation of sparse dynamic factor models with order-independent and ex-post mode identification," Journal of Econometrics, Elsevier, vol. 210(1), pages 116-134.
    9. Knott, Martin, 2005. "A measure of independence for a multivariate normal distribution and some connections with factor analysis," Journal of Multivariate Analysis, Elsevier, vol. 96(2), pages 374-383, October.
    10. Bai, Jushan & Ng, Serena, 2019. "Rank regularized estimation of approximate factor models," Journal of Econometrics, Elsevier, vol. 212(1), pages 78-96.
    11. Antonio Romero-Moreno & Alberto Paramio & Serafín J. Cruces-Montes & Antonio Zayas & Diego Gómez-Carmona & Ana Merchán-Clavellino, 2021. "Development and Validation of the Psychotherapeutic Effectiveness Attribution Questionnaire (PEAQ-12) in a Spanish Population," IJERPH, MDPI, vol. 18(19), pages 1-15, October.
    12. Yijing Wang & Guido Berens, 2015. "The Impact of Four Types of Corporate Social Performance on Reputation and Financial Performance," Journal of Business Ethics, Springer, vol. 131(2), pages 337-359, October.
    13. Alexander Shapiro & Jos Berge, 2000. "The asymptotic bias of minimum trace factor analysis, with applications to the greatest lower bound to reliability," Psychometrika, Springer;The Psychometric Society, vol. 65(3), pages 413-425, September.
    14. Sylvia Kaufmann & Markus Pape, 2025. "A geometric approach to factor model identification," Working Papers 24.06R, Swiss National Bank, Study Center Gerzensee.
    15. Zhengguo Gu & Wilco H. M. Emons & Klaas Sijtsma, 2021. "Estimating Difference-Score Reliability in Pretest–Posttest Settings," Journal of Educational and Behavioral Statistics, , vol. 46(5), pages 592-610, October.
    16. Anne-Catherine Guio & David Gordon & Eric Marlier & Hector Najera & Marco Pomati, 2018. "Towards an EU measure of child deprivation," Child Indicators Research, Springer;The International Society of Child Indicators (ISCI), vol. 11(3), pages 835-860, June.
    17. Jules L. Ellis & Klaas Sijtsma, 2024. "Proof of Reliability Convergence to 1 at Rate of Spearman–Brown Formula for Random Test Forms and Irrespective of Item Pool Dimensionality," Psychometrika, Springer;The Psychometric Society, vol. 89(3), pages 774-795, September.
    18. Yanjun Wang & Ruizhi Shi & Jianming Shi, 2015. "Duality and robust duality for special nonconvex homogeneous quadratic programming under certainty and uncertainty environment," Journal of Global Optimization, Springer, vol. 62(4), pages 643-659, August.
    19. Defeng Sun, 2006. "The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implications," Mathematics of Operations Research, INFORMS, vol. 31(4), pages 761-776, November.
    20. Eunseong Cho, 2021. "Neither Cronbach’s Alpha nor McDonald’s Omega: A Commentary on Sijtsma and Pfadt," Psychometrika, Springer;The Psychometric Society, vol. 86(4), pages 877-886, December.

    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:47:y:1982:i:3:p:243-264. 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.