IDEAS home Printed from https://ideas.repec.org/a/sae/jedbes/v33y2008i4p442-463.html
   My bibliography  Save this article

On Using Stochastic Curtailment to Shorten the SPRT in Sequential Mastery Testing

Author

Listed:
  • Matthew Finkelman

Abstract

Sequential mastery testing (SMT) has been researched as an efficient alternative to paper-and-pencil testing for pass/fail examinations. One popular method for determining when to cease examination in SMT is the truncated sequential probability ratio test (TSPRT). This article introduces the application of stochastic curtailment in SMT to shorten the TSPRT without substantially compromising error rates. Unlike the TSPRT, the stochastically curtailed procedure exhibits an optimality property known as weak admissibility. Error bounds of the two methods are provided in terms of one another. In two simulation sets, the stochastically curtailed procedure considerably improved the average test length of an SMT with only a slight decrease in accuracy.

Suggested Citation

  • Matthew Finkelman, 2008. "On Using Stochastic Curtailment to Shorten the SPRT in Sequential Mastery Testing," Journal of Educational and Behavioral Statistics, , vol. 33(4), pages 442-463, December.
    • Handle: RePEc:sae:jedbes:v:33:y:2008:i:4:p:442-463
    DOI: 10.3102/1076998607308573
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.3102/1076998607308573
    Download Restriction: no
    File URL: https://libkey.io/10.3102/1076998607308573?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. Usama Ali & Peter Rijn, 2013. "WIM J. VAN DER LINDEN & CEES A.W. GLAS (EDS.) (2010) Elements of Adaptive Testing," Psychometrika, Springer;The Psychometric Society, vol. 78(3), pages 601-603, July.
    2. Steven W. Nydick, 2014. "The Sequential Probability Ratio Test and Binary Item Response Models," Journal of Educational and Behavioral Statistics, , vol. 39(3), pages 203-230, June.
    3. Victor F. Araman & René A. Caldentey, 2022. "Diffusion Approximations for a Class of Sequential Experimentation Problems," Management Science, INFORMS, vol. 68(8), pages 5958-5979, 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:sae:jedbes:v:33:y:2008:i:4:p:442-463. 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.