Skip to main content

General and Specific Misfit of Nonparametric IRT-models

  • Conference paper

Summary

Model misfit in NIRT means that one or more of the items violate the assumptions of unidimensionality, local independence or monotonicity. General tests detect whether model misfit occurs. Specific item misfit tests detect which item is violating the assumptions. Two methods to detect general and item misfit are presented: the Mokken scale approach and the ordered latent class approach. The results show that the item specific Mokken approach and the ordered latent class approach detect items with decreasing or unimodal IRFs. The Mokken approach also warns for IRFs which are nearly flat.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Gelman A, Carlin JB, Stern HS, Rubin DB (1995) Bayesian data analysis. Chapman & Hall, London

    Google Scholar 

  • Hemker BT, Sijtsma K, Molenaar IW, Junker BW (1997) Stochastic ordering using the latent trait and the sum score in polytomous IRT models. Psychometrika 62: 331–347

    Article  MathSciNet  MATH  Google Scholar 

  • Mokken RJ (1971) A theory and procedure of scale analyis, with applications in political research. Mouton, The Hague

    Google Scholar 

  • Mokken RJ (1997) Nonparametric models for polytomous responses. In: Van der Linden WJ, Hambleton RK (eds) Handbook of modern item response theory. Springer, New York, pp 369–380

    Google Scholar 

  • Molenaar IW (1991) A weighted Loevinger H-coefficient extending Mokken scaling to multicategory items. Kwantitatieve Methoden 37: 97–117

    Google Scholar 

  • Molenaar IW, Sijtsma K (2000) User’s manual MSP5 for Windows, a program for

    Google Scholar 

  • Mokken scale analysis for polytomous items. ProGamma, Groningen Samejima F (1969) Estimation of latent ability using a response pattern of graded scores. Psychometrika Monograph 17

    Google Scholar 

  • Sijtsma K, Molenaar IW (2002) Introduction to nonparametric item response theory. Sage, Newbury Park CA

    MATH  Google Scholar 

  • Van Onna MJH (in press) Bayesian estimation and model selection in ordered latent class models for polytomous items. Accepted for publication in Psychometrika

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

H. Yanai A. Okada K. Shigemasu Y. Kano J. J. Meulman

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Japan

About this paper

Cite this paper

van Onna, M.J.H. (2003). General and Specific Misfit of Nonparametric IRT-models. In: Yanai, H., Okada, A., Shigemasu, K., Kano, Y., Meulman, J.J. (eds) New Developments in Psychometrics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-66996-8_26

Download citation

  • DOI: https://doi.org/10.1007/978-4-431-66996-8_26

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-66998-2

  • Online ISBN: 978-4-431-66996-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics