IDEAS home Printed from https://ideas.repec.org/a/sae/jedbes/v21y1996i2p179-185.html
   My bibliography  Save this article

Teacher’s Corner: Negative Information and The Three-Parameter Logistic Model

Author

Listed:
  • Eric T. Bradlow

Abstract

The 3-parameter logistic model is commonly used to describe the relationship among an unobserved latent trait (ability), unobserved item properties, and an observed binary outcome. We show that for certain values of the item properties and latent ability, the observed information about ability contained in the binary response is negative. This result has implications for maximization procedures, such as Newton-Raphson; approximate sampling methods, such as the Metropolis-Hastings algorithm; and Bayesian adaptive testing. All of these typically utilize the observed information. This result is contrasted with the fact that observed negative information does not occur in the limiting case with no guessing (2-parameter logistic model). The probability of negative information is expressed by a simple formula. This research extends the work of Samejima (1973) and Yen, Burket, and Sykes (1991).

Suggested Citation

  • Eric T. Bradlow, 1996. "Teacher’s Corner: Negative Information and The Three-Parameter Logistic Model," Journal of Educational and Behavioral Statistics, , vol. 21(2), pages 179-185, June.
    • Handle: RePEc:sae:jedbes:v:21:y:1996:i:2:p:179-185
    DOI: 10.3102/10769986021002179
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.3102/10769986021002179
    Download Restriction: no
    File URL: https://libkey.io/10.3102/10769986021002179?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lynch, John G. & Bradlow, Eric T. & Huber, Joel C. & Lehmann, Donald R., 2015. "Reflections on the replication corner: In praise of conceptual replications," International Journal of Research in Marketing, Elsevier, vol. 32(4), pages 333-342.

    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:sae:jedbes:v:21:y:1996:i:2:p:179-185. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: SAGE Publications (email available below). General contact details of provider: .

    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.