IDEAS home Printed from https://ideas.repec.org/a/sae/jedbes/v27y2002i1p19-30.html
   My bibliography  Save this article

Residual Diagrams Based on a Remarkably Simple Result Concerning the Variances of Maximum Likelihood Estimators

Author

Listed:
  • Erling B. Andersen

Abstract

A remarkably simple result concerning variances of maximum likelihood (ML) estimators is presented. This result allows for construction of residual diagrams to evaluate whether ML estimators derived from independent samples can be assumed to be equal apart from random errors. Such diagrams can be used to supplement, for example, likelihood ratio tests for the equality of the parameters in independent samples. As an application, a model from item response theory is studied, the polytomous Rasch model. Residual diagrams for the equality of the variances in a one-way analysis of variance are also briefly mentioned.

Suggested Citation

  • Erling B. Andersen, 2002. "Residual Diagrams Based on a Remarkably Simple Result Concerning the Variances of Maximum Likelihood Estimators," Journal of Educational and Behavioral Statistics, , vol. 27(1), pages 19-30, March.
    • Handle: RePEc:sae:jedbes:v:27:y:2002:i:1:p:19-30
    DOI: 10.3102/10769986027001019
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.3102/10769986027001019
    Download Restriction: no
    File URL: https://libkey.io/10.3102/10769986027001019?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
    ---><---

    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:27:y:2002:i:1:p:19-30. 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.