IDEAS home Printed from https://ideas.repec.org/a/spr/psycho/v58y1993i1p119-138.html
   My bibliography  Save this article

An approximation for the bias function of the maximum likelihood estimate of a latent variable for the general case where the item responses are discrete

Author

Listed:
  • Fumiko Samejima

Abstract

No abstract is available for this item.

Suggested Citation

  • Fumiko Samejima, 1993. "An approximation for the bias function of the maximum likelihood estimate of a latent variable for the general case where the item responses are discrete," Psychometrika, Springer;The Psychometric Society, vol. 58(1), pages 119-138, March.
    • Handle: RePEc:spr:psycho:v:58:y:1993:i:1:p:119-138
    DOI: 10.1007/BF02294476
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/BF02294476
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/BF02294476?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. Frederic Lord, 1983. "Unbiased estimators of ability parameters, of their variance, and of their parallel-forms reliability," Psychometrika, Springer;The Psychometric Society, vol. 48(2), pages 233-245, June.
    2. Fumiko Samejima, 1977. "A method of estimating item characteristic functions using the maximum likelihood estimate of ability," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 163-191, 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. Fumiko Samejima, 1997. "Departure from normal assumptions: A promise for future psychometrics with substantive mathematical modeling," Psychometrika, Springer;The Psychometric Society, vol. 62(4), pages 471-493, December.
    2. Chun Wang, 2015. "On Latent Trait Estimation in Multidimensional Compensatory Item Response Models," Psychometrika, Springer;The Psychometric Society, vol. 80(2), pages 428-449, June.
    3. Fumiko Samejima, 1994. "Some critical observations of the test information function as a measure of local accuracy in ability estimation," Psychometrika, Springer;The Psychometric Society, vol. 59(3), pages 307-329, September.
    4. Fumiko Samejima, 1998. "Efficient nonparametric approaches for estimating the operating characteristics of discrete item responses," Psychometrika, Springer;The Psychometric Society, vol. 63(2), pages 111-130, 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. Xiang Liu & James Yang & Hui Soo Chae & Gary Natriello, 2020. "Power Divergence Family of Statistics for Person Parameters in IRT Models," Psychometrika, Springer;The Psychometric Society, vol. 85(2), pages 502-525, June.
    2. Kostas Alexandridis, 2018. "Assessing Cognitive and Social Attitudes toward Environmental Conservation in Coral Reef Social-Ecological Systems," Social Sciences, MDPI, vol. 7(7), pages 1-32, June.
    3. Martin Biehler & Heinz Holling & Philipp Doebler, 2015. "Saddlepoint Approximations of the Distribution of the Person Parameter in the Two Parameter Logistic Model," Psychometrika, Springer;The Psychometric Society, vol. 80(3), pages 665-688, September.
    4. Sandip Sinharay, 2015. "The Asymptotic Distribution of Ability Estimates," Journal of Educational and Behavioral Statistics, , vol. 40(5), pages 511-528, October.
    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. Oberrauch, Luis & Kaiser, Tim, 2020. "Economic competence in early secondary school: Evidence from a large-scale assessment in Germany," International Review of Economics Education, Elsevier, vol. 35(C).
    7. Georg Gittler & Gerhard Fischer, 2011. "IRT-Based Measurement of Short-Term Changes of Ability, With an Application to Assessing the “Mozart Effectâ€," Journal of Educational and Behavioral Statistics, , vol. 36(1), pages 33-75, February.
    8. Ogasawara, Haruhiko, 2013. "Asymptotic cumulants of ability estimators using fallible item parameters," Journal of Multivariate Analysis, Elsevier, vol. 119(C), pages 144-162.
    9. Karl Klauer, 1991. "Exact and best confidence intervals for the ability parameter of the Rasch model," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 535-547, September.
    10. Simon Grund & Oliver Lüdtke & Alexander Robitzsch, 2021. "On the Treatment of Missing Data in Background Questionnaires in Educational Large-Scale Assessments: An Evaluation of Different Procedures," Journal of Educational and Behavioral Statistics, , vol. 46(4), pages 430-465, August.
    11. Ying Cheng & Cheng Liu & John Behrens, 2015. "Standard Error of Ability Estimates and the Classification Accuracy and Consistency of Binary Decisions," Psychometrika, Springer;The Psychometric Society, vol. 80(3), pages 645-664, September.
    12. Wim Linden, 1998. "Bayesian item selection criteria for adaptive testing," Psychometrika, Springer;The Psychometric Society, vol. 63(2), pages 201-216, June.
    13. David Magis, 2016. "Efficient Standard Error Formulas of Ability Estimators with Dichotomous Item Response Models," Psychometrika, Springer;The Psychometric Society, vol. 81(1), pages 184-200, March.
    14. Ogasawara, Haruhiko, 2013. "Asymptotic properties of the Bayes and pseudo Bayes estimators of ability in item response theory," Journal of Multivariate Analysis, Elsevier, vol. 114(C), pages 359-377.
    15. J. Ramsay & S. Winsberg, 1991. "Maximum marginal likelihood estimation for semiparametric item analysis," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 365-379, September.
    16. Mia J. K. Kornely & Maria Kateri, 2022. "Asymptotic Posterior Normality of Multivariate Latent Traits in an IRT Model," Psychometrika, Springer;The Psychometric Society, vol. 87(3), pages 1146-1172, September.
    17. Chun Wang, 2015. "On Latent Trait Estimation in Multidimensional Compensatory Item Response Models," Psychometrika, Springer;The Psychometric Society, vol. 80(2), pages 428-449, June.
    18. Seonghoon Kim, 2012. "A Note on the Reliability Coefficients for Item Response Model-Based Ability Estimates," Psychometrika, Springer;The Psychometric Society, vol. 77(1), pages 153-162, January.
    19. Piero Veronese & Eugenio Melilli, 2021. "Confidence Distribution for the Ability Parameter of the Rasch Model," Psychometrika, Springer;The Psychometric Society, vol. 86(1), pages 131-166, March.
    20. Herbert Hoijtink & Anne Boomsma, 1996. "Statistical inference based on latent ability estimates," Psychometrika, Springer;The Psychometric Society, vol. 61(2), pages 313-330, June.

    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:58:y:1993:i:1:p:119-138. 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.