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Stochastic Ordering Of the Latent Trait by the Sum Score Under Various Polytomous IRT Models

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  • L. Ark

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  • L. Ark, 2005. "Stochastic Ordering Of the Latent Trait by the Sum Score Under Various Polytomous IRT Models," Psychometrika, Springer;The Psychometric Society, vol. 70(2), pages 283-304, June.
    • Handle: RePEc:spr:psycho:v:70:y:2005:i:2:p:283-304
    DOI: 10.1007/s11336-000-0862-3
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    References listed on IDEAS

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    1. Geoff Masters, 1982. "A rasch model for partial credit scoring," Psychometrika, Springer;The Psychometric Society, vol. 47(2), pages 149-174, June.
    2. 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.
    3. Huynh Huynh, 1996. "Decomposition of a Rasch partial credit item into independent binary and indecomposable trinary items," Psychometrika, Springer;The Psychometric Society, vol. 61(1), pages 31-39, March.
    4. D. Grayson, 1988. "Two-group classification in latent trait theory: Scores with monotone likelihood ratio," Psychometrika, Springer;The Psychometric Society, vol. 53(3), pages 383-392, September.
    5. 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. L. Ark & Wicher Bergsma, 2010. "A Note on Stochastic Ordering of the Latent Trait Using the Sum of Polytomous Item Scores," Psychometrika, Springer;The Psychometric Society, vol. 75(2), pages 272-279, June.
    2. Tendeiro, Jorge N. & Meijer, Rob R. & Niessen, A. Susan M., 2016. "PerFit: An R Package for Person-Fit Analysis in IRT," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 74(i05).
    3. van der Ark, L. Andries, 2012. "New Developments in Mokken Scale Analysis in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 48(i05).
    4. Daphna Harel & Russell J. Steele, 2018. "An Information Matrix Test for the Collapsing of Categories Under the Partial Credit Model," Journal of Educational and Behavioral Statistics, , vol. 43(6), pages 721-750, December.
    5. Jesper Tijmstra & Herbert Hoijtink & Klaas Sijtsma, 2015. "Evaluating Manifest Monotonicity Using Bayes Factors," Psychometrika, Springer;The Psychometric Society, vol. 80(4), pages 880-896, December.
    6. 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.
    7. J. Straat & L. Ark & Klaas Sijtsma, 2013. "Comparing Optimization Algorithms for Item Selection in Mokken Scale Analysis," Journal of Classification, Springer;The Classification Society, vol. 30(1), pages 75-99, April.
    8. Maarten Terpstra & Ton Kuijlen & Klaas Sijtsma, 2014. "How to develop a customer satisfaction scale with optimal construct validity," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(5), pages 2719-2737, September.
    9. 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.
    10. Mayssun El-Attar, 2010. "Could education promote the Israeli-Palestinian peace process?," CeMMAP working papers CWP27/10, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    11. Leonard Paas & Klaas Sijtsma, 2008. "Nonparametric item response theory for investigating dimensionality of marketing scales: A SERVQUAL application," Marketing Letters, Springer, vol. 19(2), pages 157-170, June.
    12. Rudy Ligtvoet, 2022. "Incomplete Tests of Conditional Association for the Assessment of Model Assumptions," Psychometrika, Springer;The Psychometric Society, vol. 87(4), pages 1214-1237, December.
    13. Sha Li & Daniel Yee Tak Fong & Sarah Lai Yin Wan & Bradley McPherson & Esther Yuet Ying Lau & Lixi Huang & Mary Sau Man Ip & Janet Yuen Ha Wong, 2021. "A Short Form of the Chinese Version of the Weinstein Noise Sensitivity Scale through Optimal Test Assembly," IJERPH, MDPI, vol. 18(3), pages 1-10, January.

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