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A Note on Stochastic Ordering of the Latent Trait Using the Sum of Polytomous Item Scores

  • L. Ark


  • Wicher Bergsma
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    Article provided by Springer in its journal Psychometrika.

    Volume (Year): 75 (2010)
    Issue (Month): 2 (June)
    Pages: 272-279

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    Handle: RePEc:spr:psycho:v:75:y:2010:i:2:p:272-279
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    1. Huynh Huynh, 1994. "A new proof for monotone likelihood ratio for the sum of independent bernoulli random variables," Psychometrika, Springer, vol. 59(1), pages 77-79, March.
    2. Bas Hemker & L. Andries van der Ark & Klaas Sijtsma, 2001. "On measurement properties of continuation ratio models," Psychometrika, Springer, vol. 66(4), pages 487-506, December.
    3. David Andrich, 1978. "A rating formulation for ordered response categories," Psychometrika, Springer, vol. 43(4), pages 561-573, December.
    4. Bas Hemker & Klaas Sijtsma & Ivo Molenaar & Brian Junker, 1996. "Polytomous IRT models and monotone likelihood ratio of the total score," Psychometrika, Springer, vol. 61(4), pages 679-693, December.
    5. Geoff Masters, 1982. "A rasch model for partial credit scoring," Psychometrika, Springer, vol. 47(2), pages 149-174, June.
    6. L. Ark, 2005. "Stochastic Ordering Of the Latent Trait by the Sum Score Under Various Polytomous IRT Models," Psychometrika, Springer, vol. 70(2), pages 283-304, June.
    7. D. Grayson, 1988. "Two-group classification in latent trait theory: Scores with monotone likelihood ratio," Psychometrika, Springer, vol. 53(3), pages 383-392, September.
    8. 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, vol. 62(3), pages 331-347, September.
    9. Hartmann Scheiblechner, 2007. "A Unified Nonparametric IRT Model for d-Dimensional Psychological Test Data (d-ISOP)," Psychometrika, Springer, vol. 72(1), pages 43-67, March.
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