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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. van der Ark, L. Andries, 2007. "Mokken Scale Analysis in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 20(i11).
    2. 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.
    3. Geoff Masters, 1982. "A rasch model for partial credit scoring," Psychometrika, Springer;The Psychometric Society, vol. 47(2), pages 149-174, June.
    4. 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.
    5. 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.
    6. 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.
    7. Paul Rosenbaum, 1987. "Comparing item characteristic curves," Psychometrika, Springer;The Psychometric Society, vol. 52(2), pages 217-233, June.
    8. 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.
    9. David Andrich, 1978. "A rating formulation for ordered response categories," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 561-573, December.
    10. Hartmann Scheiblechner, 1995. "Isotonic ordinal probabilistic models (ISOP)," Psychometrika, Springer;The Psychometric Society, vol. 60(2), pages 281-304, June.
    11. 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.
    12. 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.
    13. 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.
    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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