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On the existence and uniqueness of maximum-likelihood estimates in the Rasch model

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  • Gerhard Fischer

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  • Gerhard Fischer, 1981. "On the existence and uniqueness of maximum-likelihood estimates in the Rasch model," Psychometrika, Springer;The Psychometric Society, vol. 46(1), pages 59-77, March.
    • Handle: RePEc:spr:psycho:v:46:y:1981:i:1:p:59-77
    DOI: 10.1007/BF02293919
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    References listed on IDEAS

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    1. Erling Andersen, 1973. "A goodness of fit test for the rasch model," Psychometrika, Springer;The Psychometric Society, vol. 38(1), pages 123-140, March.
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    Cited by:

    1. Gerhard Fischer, 1989. "An irt-based model for dichotomous longitudinal data," Psychometrika, Springer;The Psychometric Society, vol. 54(4), pages 599-624, September.
    2. N. Verhelst & C. Glas, 1993. "A dynamic generalization of the Rasch model," Psychometrika, Springer;The Psychometric Society, vol. 58(3), pages 395-415, September.
    3. Jan deLeeuw & Dorota Dabrowska & Norbert Tanzer & Leo Kamp, 1987. "Reviews," Psychometrika, Springer;The Psychometric Society, vol. 52(1), pages 151-160, March.
    4. C. Glas & N. Verhelst, 1989. "Extensions of the partial credit model," Psychometrika, Springer;The Psychometric Society, vol. 54(4), pages 635-659, September.
    5. Clemens Draxler & Andreas Kurz & Can Gürer & Jan Philipp Nolte, 2024. "An Improved Inferential Procedure to Evaluate Item Discriminations in a Conditional Maximum Likelihood Framework," Journal of Educational and Behavioral Statistics, , vol. 49(3), pages 403-430, June.
    6. William P. Fisher Jr., 2023. "Separation Theorems in Econometrics and Psychometrics: Rasch, Frisch, Two Fishers and Implications for Measurement," Journal of Interdisciplinary Economics, , vol. 35(1), pages 29-60, January.
    7. Hendrikus Kelderman, 1984. "Loglinear Rasch model tests," Psychometrika, Springer;The Psychometric Society, vol. 49(2), pages 223-245, June.
    8. Gerhard Fischer, 1983. "Logistic latent trait models with linear constraints," Psychometrika, Springer;The Psychometric Society, vol. 48(1), pages 3-26, March.
    9. J. Pfanzagl, 1993. "On the consistency of conditional maximum likelihood estimators," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 45(4), pages 703-719, December.
    10. Robert Jannarone, 1986. "Conjunctive item response theory kernels," Psychometrika, Springer;The Psychometric Society, vol. 51(3), pages 357-373, September.
    11. Gerhard Fischer, 1995. "Some neglected problems in IRT," Psychometrika, Springer;The Psychometric Society, vol. 60(4), pages 459-487, December.
    12. Clemens Draxler & Andreas Kurz, 2021. "Conditional Inference in Small Sample Scenarios Using a Resampling Approach," Stats, MDPI, vol. 4(4), pages 1-13, October.
    13. Bertoli-Barsotti, Lucio, 2003. "An order-preserving property of the maximum likelihood estimates for the Rasch model," Statistics & Probability Letters, Elsevier, vol. 61(1), pages 91-96, January.
    14. Anton Formann, 1986. "A note on the computation of the second-order derivatives of the elementary symmetric functions in the rasch model," Psychometrika, Springer;The Psychometric Society, vol. 51(2), pages 335-339, June.
    15. Albert Yu & Jeffrey A. Douglas, 2023. "IRT Models for Learning With Item-Specific Learning Parameters," Journal of Educational and Behavioral Statistics, , vol. 48(6), pages 866-888, December.
    16. Lucio Bertoli-Barsotti, 2005. "On the existence and uniqueness of JML estimates for the partial credit model," Psychometrika, Springer;The Psychometric Society, vol. 70(3), pages 517-531, September.
    17. Clemens Draxler & Rainer Alexandrowicz, 2015. "Sample Size Determination Within the Scope of Conditional Maximum Likelihood Estimation with Special Focus on Testing the Rasch Model," Psychometrika, Springer;The Psychometric Society, vol. 80(4), pages 897-919, December.
    18. E. Maris, 1998. "On the sampling interpretation of confidence intervals and hypothesis tests in the context of conditional maximum likelihood estimation," Psychometrika, Springer;The Psychometric Society, vol. 63(1), pages 65-71, March.
    19. Eric Maris, 1995. "Psychometric latent response models," Psychometrika, Springer;The Psychometric Society, vol. 60(4), pages 523-547, December.
    20. T. Jefferson & J. May & N. Ravi, 1989. "An entropy approach to the scaling of ordinal categorical data," Psychometrika, Springer;The Psychometric Society, vol. 54(2), pages 203-215, June.
    21. Matthias von Davier, 2021. "Commentary: Matching IRT Models to PRO Constructs— Modeling Alternatives, and Some Thoughts on What Makes a Model Different," Psychometrika, Springer;The Psychometric Society, vol. 86(3), pages 825-832, September.
    22. Cees Glas, 1988. "The derivation of some tests for the rasch model from the multinomial distribution," Psychometrika, Springer;The Psychometric Society, vol. 53(4), pages 525-546, December.
    23. Jürgen M. Pelikan & Thomas Link & Christa Straßmayr & Karin Waldherr & Tobias Alfers & Henrik Bøggild & Robert Griebler & Maria Lopatina & Dominika Mikšová & Marie Germund Nielsen & Sandra Peer & Mitj, 2022. "Measuring Comprehensive, General Health Literacy in the General Adult Population: The Development and Validation of the HLS 19 -Q12 Instrument in Seventeen Countries," IJERPH, MDPI, vol. 19(21), pages 1-31, October.

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