IDEAS home Printed from https://ideas.repec.org/a/sae/somere/v7y1978i1p107-120.html
   My bibliography  Save this article

Linear Equations and Nonlinear Estimation

Author

Listed:
  • Edward L. Fink

    (Michigan State University)

  • Timothy I. Mabee

    (Michigan State University)

Abstract

When a linear structural equation model results in nonlinear procedures for solution, multiple (but finite) sets of solutions may be possible, even with population data. An example of a three-variable feedback system is given in which two sets of solutions may be generated, and each may be obtained by algebraic analysis or by numerical analysis. Issues of model specification and equilibrium must be considered to differentiate the sets of solutions and choose between them. In the absence of strong information concerning these issues, data at more than one point in time is a minimal requirement to solve for model parameters and evaluate the system of variable relations. Statistical estimation of model parameters is also considered in this context.

Suggested Citation

  • Edward L. Fink & Timothy I. Mabee, 1978. "Linear Equations and Nonlinear Estimation," Sociological Methods & Research, , vol. 7(1), pages 107-120, August.
    • Handle: RePEc:sae:somere:v:7:y:1978:i:1:p:107-120
    DOI: 10.1177/004912417800700105
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/004912417800700105
    Download Restriction: no
    File URL: https://libkey.io/10.1177/004912417800700105?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:somere:v:7:y:1978:i:1:p:107-120. 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.