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Exact and best confidence intervals for the ability parameter of the Rasch model

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  • Karl Klauer

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  • Karl Klauer, 1991. "Exact and best confidence intervals for the ability parameter of the Rasch model," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 535-547, September.
  • Handle: RePEc:spr:psycho:v:56:y:1991:i:3:p:535-547
    DOI: 10.1007/BF02294489
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    References listed on IDEAS

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    1. Ivo Molenaar & Herbert Hoijtink, 1990. "The many null distributions of person fit indices," Psychometrika, Springer;The Psychometric Society, vol. 55(1), pages 75-106, March.
    2. Michael Levine & Fritz Drasgow, 1988. "Optimal appropriateness measurement," Psychometrika, Springer;The Psychometric Society, vol. 53(2), pages 161-176, June.
    3. Frederic Lord, 1983. "Unbiased estimators of ability parameters, of their variance, and of their parallel-forms reliability," Psychometrika, Springer;The Psychometric Society, vol. 48(2), pages 233-245, June.
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    Cited by:

    1. Haruhiko Ogasawara, 2012. "Asymptotic expansions for the ability estimator in item response theory," Computational Statistics, Springer, vol. 27(4), pages 661-683, December.
    2. Xiang Liu & James Yang & Hui Soo Chae & Gary Natriello, 2020. "Power Divergence Family of Statistics for Person Parameters in IRT Models," Psychometrika, Springer;The Psychometric Society, vol. 85(2), pages 502-525, June.
    3. Xiang Liu & Zhuangzhuang Han & Matthew S. Johnson, 2018. "The UMP Exact Test and the Confidence Interval for Person Parameters in IRT Models," Psychometrika, Springer;The Psychometric Society, vol. 83(1), pages 182-202, March.
    4. Martin Biehler & Heinz Holling & Philipp Doebler, 2015. "Saddlepoint Approximations of the Distribution of the Person Parameter in the Two Parameter Logistic Model," Psychometrika, Springer;The Psychometric Society, vol. 80(3), pages 665-688, September.
    5. Piero Veronese & Eugenio Melilli, 2021. "Confidence Distribution for the Ability Parameter of the Rasch Model," Psychometrika, Springer;The Psychometric Society, vol. 86(1), pages 131-166, March.
    6. 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.
    7. Anna Doebler & Philipp Doebler & Heinz Holling, 2013. "Optimal and Most Exact Confidence Intervals for Person Parameters in Item Response Theory Models," Psychometrika, Springer;The Psychometric Society, vol. 78(1), pages 98-115, January.

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