IDEAS home Printed from https://ideas.repec.org/a/spr/psycho/v62y1997i3p331-347.html
   My bibliography  Save this article

Stochastic ordering using the latent trait and the sum score in polytomous IRT models

Author

Listed:
  • Bas Hemker
  • Klaas Sijtsma
  • Ivo Molenaar
  • Brian Junker

Abstract

No abstract is available for this item.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:psycho:v:62:y:1997:i:3:p:331-347
    DOI: 10.1007/BF02294555
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/BF02294555
    Download Restriction: Access to full text is restricted to subscribers.

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Geoff Masters, 1982. "A rasch model for partial credit scoring," Psychometrika, Springer;The Psychometric Society, vol. 47(2), pages 149-174, June.
    2. Bas Hemker & Klaas Sijtsma & Ivo Molenaar & Brian Junker, 1996. "Polytomous IRT models and monotone likelihood ratio of the total score," Psychometrika, Springer;The Psychometric Society, vol. 61(4), pages 679-693, December.
    3. David Andrich, 1978. "A rating formulation for ordered response categories," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 561-573, December.
    4. William Strout, 1990. "A new item response theory modeling approach with applications to unidimensionality assessment and ability estimation," Psychometrika, Springer;The Psychometric Society, vol. 55(2), pages 293-325, June.
    5. Huynh Huynh, 1994. "A new proof for monotone likelihood ratio for the sum of independent bernoulli random variables," Psychometrika, Springer;The Psychometric Society, vol. 59(1), pages 77-79, March.
    6. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. repec:jss:jstsof:v:074:i05 is not listed on IDEAS
    6. Wim Linden, 1998. "Stochastic order in dichotomous item response models for fixed, adaptive, and multidimensional tests," Psychometrika, Springer;The Psychometric Society, vol. 63(3), pages 211-226, September.
    7. 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.
    8. van der Ark, L.A., 1999. "A reference card for the relationships between IRT models for ordered polytomous items and some relevant properties," WORC Paper 99.10.02, Tilburg University, Work and Organization Research Centre.
    9. 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.
    10. Jean-Benoit Hardouin & Angelique Bonnaud-Antignac & Veronique Sebille, 2011. "Nonparametric item response theory using Stata," Stata Journal, StataCorp LP, vol. 11(1), pages 30-51, March.
    11. 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.
    12. Johnson, Matthew S., 2007. "Modeling dichotomous item responses with free-knot splines," Computational Statistics & Data Analysis, Elsevier, vol. 51(9), pages 4178-4192, May.
    13. Samantha Bouwmeester & Klaas Sijtsma, 2004. "Measuring the ability of transitive reasoning, using product and strategy information," Psychometrika, Springer;The Psychometric Society, vol. 69(1), pages 123-146, March.
    14. Theo Eggen & Norman Verhelst, 2006. "Loss of Information in Estimating Item Parameters in Incomplete Designs," Psychometrika, Springer;The Psychometric Society, vol. 71(2), pages 303-322, June.
    15. Jesper Tijmstra & David Hessen & Peter Heijden & Klaas Sijtsma, 2013. "Testing Manifest Monotonicity Using Order-Constrained Statistical Inference," Psychometrika, Springer;The Psychometric Society, vol. 78(1), pages 83-97, January.
    16. Robert J. Zwitser & Gunter Maris, 2016. "Ordering Individuals with Sum Scores: The Introduction of the Nonparametric Rasch Model," Psychometrika, Springer;The Psychometric Society, vol. 81(1), pages 39-59, March.
    17. 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.
    18. 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.
    19. Hartman Scheiblechner, 1999. "Additive conjoint isotonic probabilistic models (ADISOP)," Psychometrika, Springer;The Psychometric Society, vol. 64(3), pages 295-316, September.
    20. Francesco Bartolucci & Antonio Forcina, 2005. "Likelihood inference on the underlying structure of IRT models," Psychometrika, Springer;The Psychometric Society, vol. 70(1), pages 31-43, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:psycho:v:62:y:1997:i:3:p:331-347. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla) or (Rebekah McClure). General contact details of provider: http://www.springer.com .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.