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Nonparametric polytomous IRT models for invariant item ordering, with results for parametric models

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  • Klaas Sijtsma
  • Bas Hemker

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  • Klaas Sijtsma & Bas Hemker, 1998. "Nonparametric polytomous IRT models for invariant item ordering, with results for parametric models," Psychometrika, Springer;The Psychometric Society, vol. 63(2), pages 183-200, June.
    • Handle: RePEc:spr:psycho:v:63:y:1998:i:2:p:183-200
    DOI: 10.1007/BF02294774
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    References listed on IDEAS

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    1. Geoff Masters, 1982. "A rasch model for partial credit scoring," Psychometrika, Springer;The Psychometric Society, vol. 47(2), pages 149-174, June.
    2. Paul Rosenbaum, 1987. "Comparing item characteristic curves," Psychometrika, Springer;The Psychometric Society, vol. 52(2), pages 217-233, June.
    3. Bas Hemker & Klaas Sijtsma & Ivo Molenaar & Brian Junker, 1996. "Polytomous IRT models and monotone likelihood ratio of the total score," Psychometrika, Springer;The Psychometric Society, vol. 61(4), pages 679-693, December.
    4. Hartmann Scheiblechner, 1995. "Isotonic ordinal probabilistic models (ISOP)," Psychometrika, Springer;The Psychometric Society, vol. 60(2), pages 281-304, June.
    5. David Andrich, 1978. "A rating formulation for ordered response categories," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 561-573, December.
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    Citations

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    Cited by:

    1. Dima, Alexandra L. & Stutterheim, Sarah E. & Lyimo, Ramsey & de Bruin, Marijn, 2014. "Advancing methodology in the study of HIV status disclosure: The importance of considering disclosure target and intent," Social Science & Medicine, Elsevier, vol. 108(C), pages 166-174.
    2. L. Ark, 2005. "Stochastic Ordering Of the Latent Trait by the Sum Score Under Various Polytomous IRT Models," Psychometrika, Springer;The Psychometric Society, vol. 70(2), pages 283-304, June.
    3. Jesper Tijmstra & Maria Bolsinova, 2019. "Bayes Factors for Evaluating Latent Monotonicity in Polytomous Item Response Theory Models," Psychometrika, Springer;The Psychometric Society, vol. 84(3), pages 846-869, September.
    4. Anne-Linda Camerini & Peter J. Schulz, 2018. "Social Desirability Bias in Child-Report Social Well-Being: Evaluation of the Children’s Social Desirability Short Scale Using Item Response Theory and Examination of Its Impact on Self-Report Family ," Child Indicators Research, Springer;The International Society of Child Indicators (ISCI), vol. 11(4), pages 1159-1174, August.
    5. repec:jss:jstsof:20:i11 is not listed on IDEAS
    6. Bas Hemker & L. Andries van der Ark & Klaas Sijtsma, 2001. "On measurement properties of continuation ratio models," Psychometrika, Springer;The Psychometric Society, vol. 66(4), pages 487-506, December.
    7. Maud Dampérat & Ping Lei & Florence Jeannot, 2019. "IRT Approach for rating scales: applications for normal and non-normal distributions," Post-Print hal-04325043, HAL.
    8. van der Ark, L. Andries, 2012. "New Developments in Mokken Scale Analysis in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(i05).
    9. van der Ark, L.A., 1999. "A reference card for the relationships between IRT models for ordered polytomous items and some relevant properties," WORC Paper 99.10.02, Tilburg University, Work and Organization Research Centre.
    10. Rudy Ligtvoet & L. Ark & Wicher Bergsma & Klaas Sijtsma, 2011. "Polytomous Latent Scales for the Investigation of the Ordering of Items," Psychometrika, Springer;The Psychometric Society, vol. 76(2), pages 200-216, April.
    11. M. Onna, 2002. "Bayesian estimation and model selection in ordered latent class models for polytomous items," Psychometrika, Springer;The Psychometric Society, vol. 67(4), pages 519-538, December.

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