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Polytomous Latent Scales for the Investigation of the Ordering of Items

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  • Rudy Ligtvoet
  • L. Ark
  • Wicher Bergsma
  • Klaas Sijtsma

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  • 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.
    • Handle: RePEc:spr:psycho:v:76:y:2011:i:2:p:200-216
    DOI: 10.1007/s11336-010-9199-8
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    References listed on IDEAS

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    1. Hartmann Scheiblechner, 2003. "Nonparametric IRT: Testing the bi-isotonicity of isotonic probabilistic models (ISOP)," Psychometrika, Springer;The Psychometric Society, vol. 68(1), pages 79-96, March.
    2. Geoff Masters, 1982. "A rasch model for partial credit scoring," Psychometrika, Springer;The Psychometric Society, vol. 47(2), pages 149-174, June.
    3. 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.
    4. Quinn McNemar, 1947. "Note on the sampling error of the difference between correlated proportions or percentages," Psychometrika, Springer;The Psychometric Society, vol. 12(2), pages 153-157, June.
    5. Paul Rosenbaum, 1987. "Comparing item characteristic curves," Psychometrika, Springer;The Psychometric Society, vol. 52(2), pages 217-233, June.
    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. Hartmann Scheiblechner, 1995. "Isotonic ordinal probabilistic models (ISOP)," Psychometrika, Springer;The Psychometric Society, vol. 60(2), pages 281-304, June.
    8. Ivo W. Molenaar, 2004. "About handy, handmade and handsome models," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 58(1), pages 1-20, February.
    9. Hua-Hua Chang & John Mazzeo, 1994. "The unique correspondence of the item response function and item category response functions in polytomously scored item response models," Psychometrika, Springer;The Psychometric Society, vol. 59(3), pages 391-404, September.
    10. van der Ark, L. Andries, 2007. "Mokken Scale Analysis in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 20(i11).
    11. van Schuur, Wijbrandt H., 2003. "Mokken Scale Analysis: Between the Guttman Scale and Parametric Item Response Theory," Political Analysis, Cambridge University Press, vol. 11(2), pages 139-163, April.
    12. David Andrich, 1978. "A rating formulation for ordered response categories," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 561-573, December.
    13. L. Ark & Marcel Croon & Klaas Sijtsma, 2008. "Mokken Scale Analysis for Dichotomous Items Using Marginal Models," Psychometrika, Springer;The Psychometric Society, vol. 73(2), pages 183-208, June.
    14. Bas Hemker & Klaas Sijtsma & Ivo Molenaar & Brian Junker, 1997. "Stochastic ordering using the latent trait and the sum score in polytomous IRT models," Psychometrika, Springer;The Psychometric Society, vol. 62(3), pages 331-347, September.
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    Cited by:

    1. Rudy Ligtvoet, 2012. "An Isotonic Partial Credit Model for Ordering Subjects on the Basis of Their Sum Scores," Psychometrika, Springer;The Psychometric Society, vol. 77(3), pages 479-494, July.

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