Skip to main content
SpringerLink
Log in

An extension of item analysis procedures to the case of polychotomous response

  • Published:
Psychometrika Aims and scope Submit manuscript

Abstract

Classical item analysis procedures were developed for dichotomously scored items and do not apply to items allowing multiple correct responses. Maximum likelihood procedures analogous to those employed in polychotomous bio-assay are presented which yield estimates of the sets of parameters for items having multiple nonordered responses. Expressions for the estimates of the asymptotic variances of the item parameters and on overall chi-square goodness of fit test are also provided.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Aitchison, J. and Silvey, S. D. The generalization of probit analysis to the case of multiple responses.Biometrika, 1957,44, 131–140.

    Google Scholar 

  • Ashford, J. R. An approach to the analysis of data for semi-quantal responses in biological assay.Biometrics, 1959,15, 573–581.

    Google Scholar 

  • Baker, F. B. Empirical comparison of the item parameters based on the logistic and normal functions.Psychometrika, 1961,26, 235–246.

    Google Scholar 

  • Cramer, E. A comparison of three methods of fitting the normal ogive.Psychometrika, 1962,27, 183–192.

    Google Scholar 

  • Finney, D. J. The application of probit analysis to the results on mental tests.Psychometrika, 1944,9, 31–39.

    Google Scholar 

  • Garwood, F. The application of maximum likelihood to dosage-mortality curves.Biometrika, 1941,32, 46–58.

    Google Scholar 

  • Gurland, J., Ilbok, J., and Dahm, P. A. Polychotomous quantal response in biological assay.Biometrics, 1960,16, 382–398.

    Google Scholar 

  • Kendall, M. J.The advanced theory of statistics. Vol. II. London: Charles Griffin & Company, Limited, 1948.

    Google Scholar 

  • Lawley, D. N. On problems connected with item selection and test construction.Royal Society, Edinburgh, Proceedings, 1943,61A, 273–287.

    Google Scholar 

  • Maxwell, A. E. Maximum likelihood estimates of item parameters using the logistic function.Psychometrika, 1959,24, 221–227.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Wisconsin, USA

    Frank B. Baker

Authors
  1. Frank B. Baker
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. John Gurland
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baker, F.B., Gurland, J. An extension of item analysis procedures to the case of polychotomous response. Psychometrika 33, 259–266 (1968). https://doi.org/10.1007/BF02289326

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02289326

Keywords

Search

Navigation