IDEAS home Printed from https://ideas.repec.org/a/spr/psycho/v45y1980i2p249-267.html
   My bibliography  Save this article

Inequalities among lower bounds to reliability: With applications to test construction and factor analysis

Author

Listed:
  • P. Bentler
  • J. Woodward

Abstract

No abstract is available for this item.

Suggested Citation

  • P. Bentler & J. Woodward, 1980. "Inequalities among lower bounds to reliability: With applications to test construction and factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 45(2), pages 249-267, June.
    • Handle: RePEc:spr:psycho:v:45:y:1980:i:2:p:249-267
    DOI: 10.1007/BF02294079
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/BF02294079
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/BF02294079?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. Paul Jackson, 1979. "A note on the relation between coefficient alpha and guttman's “split-half” lower bounds," Psychometrika, Springer;The Psychometric Society, vol. 44(2), pages 251-252, June.
    2. Brian Woodhouse & Paul Jackson, 1977. "Lower bounds for the reliability of the total score on a test composed of non-homogeneous items: II: A search procedure to locate the greatest lower bound," Psychometrika, Springer;The Psychometric Society, vol. 42(4), pages 579-591, December.
    3. repec:ucp:bkecon:9780226316529 is not listed on IDEAS
    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. P. Bentler & J. Woodward, 1985. "On the greatest lower bound to reliability," Psychometrika, Springer;The Psychometric Society, vol. 50(2), pages 245-246, June.
    2. Bai, Jushan & Ng, Serena, 2019. "Rank regularized estimation of approximate factor models," Journal of Econometrics, Elsevier, vol. 212(1), pages 78-96.
    3. Klaas Sijtsma, 2012. "Future of Psychometrics: Ask What Psychometrics Can Do for Psychology," Psychometrika, Springer;The Psychometric Society, vol. 77(1), pages 4-20, January.
    4. Peter M. Bentler, 2016. "Covariate-free and Covariate-dependent Reliability," Psychometrika, Springer;The Psychometric Society, vol. 81(4), pages 907-920, December.
    5. 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.
    6. 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.
    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. 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.
    9. Klaas Sijtsma & Julius M. Pfadt, 2021. "Part II: On the Use, the Misuse, and the Very Limited Usefulness of Cronbach’s Alpha: Discussing Lower Bounds and Correlated Errors," Psychometrika, Springer;The Psychometric Society, vol. 86(4), pages 843-860, December.
    10. Jushan Bai & Serena Ng, 2017. "Principal Components and Regularized Estimation of Factor Models," Papers 1708.08137, arXiv.org, revised Nov 2017.
    11. Lee Cronbach, 1988. "Internal consistency of tests: Analyses old and new," Psychometrika, Springer;The Psychometric Society, vol. 53(1), pages 63-70, March.
    12. Ilona Szőcs & Bodo B. Schlegelmilch & Thomas Rusch & Hamed M. Shamma, 2016. "Linking cause assessment, corporate philanthropy, and corporate reputation," Journal of the Academy of Marketing Science, Springer, vol. 44(3), pages 376-396, May.
    13. Peter Bentler, 2009. "Alpha, Dimension-Free, and Model-Based Internal Consistency Reliability," Psychometrika, Springer;The Psychometric Society, vol. 74(1), pages 137-143, March.
    14. William Revelle & Richard Zinbarg, 2009. "Coefficients Alpha, Beta, Omega, and the glb: Comments on Sijtsma," Psychometrika, Springer;The Psychometric Society, vol. 74(1), pages 145-154, March.
    15. 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.
    16. Klaas Sijtsma, 2009. "On the Use, the Misuse, and the Very Limited Usefulness of Cronbach’s Alpha," Psychometrika, Springer;The Psychometric Society, vol. 74(1), pages 107-120, March.
    17. Giacomo Riccia & Alexander Shapiro, 1982. "Minimum rank and minimum trace of covariance matrices," Psychometrika, Springer;The Psychometric Society, vol. 47(4), pages 443-448, December.
    18. Massimiliano Pastore & Luigi Lombardi, 2014. "The impact of faking on Cronbach’s alpha for dichotomous and ordered rating scores," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(3), pages 1191-1211, May.
    19. Alexander Shapiro & Jos Berge, 2002. "Statistical inference of minimum rank factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 67(1), pages 79-94, March.
    20. Peter M. Bentler, 2021. "Alpha, FACTT, and Beyond," Psychometrika, Springer;The Psychometric Society, vol. 86(4), pages 861-868, December.

    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 M. Bentler, 2016. "Covariate-free and Covariate-dependent Reliability," Psychometrika, Springer;The Psychometric Society, vol. 81(4), pages 907-920, December.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. David J. Hessen, 2017. "Lower Bounds to the Reliabilities of Factor Score Estimators," Psychometrika, Springer;The Psychometric Society, vol. 82(3), pages 648-659, September.
    7. Peter M. Bentler, 2021. "Alpha, FACTT, and Beyond," Psychometrika, Springer;The Psychometric Society, vol. 86(4), pages 861-868, December.
    8. 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.
    9. Ke-Hai Yuan & Peter Bentler, 2002. "On robusiness of the normal-theory based asymptotic distributions of three reliability coefficient estimates," Psychometrika, Springer;The Psychometric Society, vol. 67(2), pages 251-259, June.
    10. Peter Bentler, 2009. "Alpha, Dimension-Free, and Model-Based Internal Consistency Reliability," Psychometrika, Springer;The Psychometric Society, vol. 74(1), pages 137-143, March.
    11. 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.
    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. William Revelle & Richard Zinbarg, 2009. "Coefficients Alpha, Beta, Omega, and the glb: Comments on Sijtsma," Psychometrika, Springer;The Psychometric Society, vol. 74(1), pages 145-154, March.
    15. Klaas Sijtsma, 2009. "On the Use, the Misuse, and the Very Limited Usefulness of Cronbach’s Alpha," Psychometrika, Springer;The Psychometric Society, vol. 74(1), pages 107-120, March.
    16. 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.
    17. Agustín E Martínez-González & Tíscar Rodríguez-Jiménez & José A Piqueras & Pablo Vera-Villarroel & Antonio Godoy, 2015. "Psychometric Properties of the Obsessive-Compulsive Inventory-Child Version (OCI-CV) in Chilean Children and Adolescents," PLOS ONE, Public Library of Science, vol. 10(8), pages 1-12, August.

    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:45:y:1980:i:2:p:249-267. 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.