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Isotonic ordinal probabilistic models (ISOP)

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  • Hartmann Scheiblechner

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  • Hartmann Scheiblechner, 1995. "Isotonic ordinal probabilistic models (ISOP)," Psychometrika, Springer;The Psychometric Society, vol. 60(2), pages 281-304, June.
    • Handle: RePEc:spr:psycho:v:60:y:1995:i:2:p:281-304
    DOI: 10.1007/BF02301417
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    References listed on IDEAS

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    1. William Stout, 1987. "A nonparametric approach for assessing latent trait unidimensionality," Psychometrika, Springer;The Psychometric Society, vol. 52(4), pages 589-617, December.
    2. Paul Rosenbaum, 1988. "Items bundles," Psychometrika, Springer;The Psychometric Society, vol. 53(3), pages 349-359, September.
    3. Gerhard Fischer, 1987. "Applying the principles of specific objectivity and of generalizability to the measurement of change," Psychometrika, Springer;The Psychometric Society, vol. 52(4), pages 565-587, December.
    4. Norman Cliff & John Donoghue, 1992. "Ordinal test fidelity estimated by an item sampling model," Psychometrika, Springer;The Psychometric Society, vol. 57(2), pages 217-236, June.
    5. William Meredith, 1965. "Some results based on a general stochastic model for mental tests," Psychometrika, Springer;The Psychometric Society, vol. 30(4), pages 419-440, December.
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    Citations

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    Cited by:

    1. Brian Junker, 1998. "Some remarks on Scheiblechner's treatment of isop models," Psychometrika, Springer;The Psychometric Society, vol. 63(1), pages 73-85, March.
    2. 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.
    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. H. Scheiblechner, 1998. "Corrections of theorems in Scheiblechner's treatment of ISOP models and comments on Junker's remarks," Psychometrika, Springer;The Psychometric Society, vol. 63(1), pages 87-91, March.
    5. 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.
    6. Klaas Sijtsma & Rob Meijer, 2001. "The person response function as a tool in person-fit research," Psychometrika, Springer;The Psychometric Society, vol. 66(2), pages 191-207, June.
    7. 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.
    8. George Karabatsos & William Batchelder, 2003. "Markov chain estimation for test theory without an answer key," Psychometrika, Springer;The Psychometric Society, vol. 68(3), pages 373-389, September.
    9. David Hessen, 2005. "Constant latent odds-ratios models and the mantel-haenszel null hypothesis," Psychometrika, Springer;The Psychometric Society, vol. 70(3), pages 497-516, September.
    10. Hartmann Scheiblechner, 2007. "A Unified Nonparametric IRT Model for d-Dimensional Psychological Test Data (d-ISOP)," Psychometrika, Springer;The Psychometric Society, vol. 72(1), pages 43-67, March.
    11. Ligtvoet, R., 2015. "A test for using the sum score to obtain a stochastic ordering of subjects," Journal of Multivariate Analysis, Elsevier, vol. 133(C), pages 136-139.
    12. Stefano Noventa & Andrea Spoto & Jürgen Heller & Augustin Kelava, 2019. "On a Generalization of Local Independence in Item Response Theory Based on Knowledge Space Theory," Psychometrika, Springer;The Psychometric Society, vol. 84(2), pages 395-421, June.
    13. 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.
    14. 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.
    15. Hartman Scheiblechner, 1999. "Additive conjoint isotonic probabilistic models (ADISOP)," Psychometrika, Springer;The Psychometric Society, vol. 64(3), pages 295-316, September.

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