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Stochastic order in dichotomous item response models for fixed, adaptive, and multidimensional tests


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  • Wim Linden


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    Bibliographic Info

    Article provided by Springer in its journal Psychometrika.

    Volume (Year): 63 (1998)
    Issue (Month): 3 (September)
    Pages: 211-226

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    Handle: RePEc:spr:psycho:v:63:y:1998:i:3:p:211-226

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    Keywords: item response theory (IRT); stochastic order; computerize adaptive testing (CAT); multidimensional tests; classical test theory;


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    1. 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.
    2. William Strout, 1990. "A new item response theory modeling approach with applications to unidimensionality assessment and ability estimation," Psychometrika, Springer, vol. 55(2), pages 293-325, June.
    3. William Stout, 1987. "A nonparametric approach for assessing latent trait unidimensionality," Psychometrika, Springer, vol. 52(4), pages 589-617, December.
    4. Paul Holland, 1981. "When are item response models consistent with observed data?," Psychometrika, Springer, vol. 46(1), pages 79-92, March.
    5. J. Ramsay, 1991. "Kernel smoothing approaches to nonparametric item characteristic curve estimation," Psychometrika, Springer, vol. 56(4), pages 611-630, December.
    6. Robert Tsutakawa & Jane Johnson, 1990. "The effect of uncertainty of item parameter estimation on ability estimates," Psychometrika, Springer, vol. 55(2), pages 371-390, June.
    7. 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.
    8. Paul Rosenbaum, 1984. "Testing the conditional independence and monotonicity assumptions of item response theory," Psychometrika, Springer, vol. 49(3), pages 425-435, September.
    9. 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.
    10. D. Grayson, 1988. "Two-group classification in latent trait theory: Scores with monotone likelihood ratio," Psychometrika, Springer, vol. 53(3), pages 383-392, September.
    11. Brian Junker, 1991. "Essential independence and likelihood-based ability estimation for polytomous items," Psychometrika, Springer, vol. 56(2), pages 255-278, June.
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    Cited by:
    1. Wim Linden, 2012. "On Compensation in Multidimensional Response Modeling," Psychometrika, Springer, vol. 77(1), pages 21-30, January.


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