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Inconsistent maximum likelihood estimators for the Rasch model

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  • Ghosh, Malay

Abstract

The paper proves the inconsistency of the maximum likelihood estimators of the parameters of interest in the Rasch model when the number of nuisance parameters grows to infinity.

Suggested Citation

  • Ghosh, Malay, 1995. "Inconsistent maximum likelihood estimators for the Rasch model," Statistics & Probability Letters, Elsevier, vol. 23(2), pages 165-170, May.
    • Handle: RePEc:eee:stapro:v:23:y:1995:i:2:p:165-170
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    Cited by:

    1. Siliang Zhang & Yunxiao Chen, 2022. "Computation for Latent Variable Model Estimation: A Unified Stochastic Proximal Framework," Psychometrika, Springer;The Psychometric Society, vol. 87(4), pages 1473-1502, December.
    2. Zhang, Siliang & Chen, Yunxiao, 2022. "Computation for latent variable model estimation: a unified stochastic proximal framework," LSE Research Online Documents on Economics 114489, London School of Economics and Political Science, LSE Library.
    3. Chen, Yunxiao & Li, Xiaoou & Zhang, Siliang, 2019. "Structured latent factor analysis for large-scale data: identifiability, estimability, and their implications," LSE Research Online Documents on Economics 101122, London School of Economics and Political Science, LSE Library.
    4. Ernesto San Martín & Alejandro Jara & Jean-Marie Rolin & Michel Mouchart, 2011. "On the Bayesian Nonparametric Generalization of IRT-Type Models," Psychometrika, Springer;The Psychometric Society, vol. 76(3), pages 385-409, July.
    5. 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.
    6. Yunxiao Chen & Xiaoou Li & Siliang Zhang, 2019. "Joint Maximum Likelihood Estimation for High-Dimensional Exploratory Item Factor Analysis," Psychometrika, Springer;The Psychometric Society, vol. 84(1), pages 124-146, March.
    7. Chen, Yunxiao & Li, Chengcheng & Ouyang, Jing & Xu, Gongjun, 2023. "Statistical inference for noisy incomplete binary matrix," LSE Research Online Documents on Economics 118350, London School of Economics and Political Science, LSE Library.
    8. Jean-Benoit Hardouin, 2007. "Rasch analysis: Estimation and tests with raschtest," Stata Journal, StataCorp LP, vol. 7(1), pages 22-44, February.

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