Robustness of Marginal Maximum Likelihoo Estimation in the Rasch odel
| Autor: | Arnold L. van den Wollenberg, Aeilko H. Zwinderman |
|---|---|
| Rok vydání: | 1990 |
| Předmět: |
Rasch model
Psychometrics 05 social sciences Robust statistics 050401 social sciences methods 050301 education Statistical model Marginal likelihood 0504 sociology Robustness (computer science) Statistics Item response theory Econometrics Psychology (miscellaneous) 0503 education Social Sciences (miscellaneous) Statistical hypothesis testing Mathematics |
| Zdroj: | Applied Psychological Measurement. 14:73-81 |
| ISSN: | 1552-3497 0146-6216 |
| DOI: | 10.1177/014662169001400107 |
| Popis: | Simulation studies examined the effect of misspeci fication of the latent ability (θ) distribution on the ac curacy and efficiency of marginal maximum likelihood (MML) item parameter estimates and on MML statistics to test sufficiency and conditional independence. Re sults were compared to the conditional maximum like lihood (CML) approach. Results showed that if θ is as sumed to be normally distributed when its distribution is actually skewed, MML estimators lose accuracy and efficiency when compared to CML estimators. The ef fects are not large, though they increase as the skew- ness of the number-correct score distribution increases. However, statistics to test the sufficiency and condi tional independence assumptions of the Rasch model in the MML approach are very sensitive to misspecifi cation of the θ distribution. Index terms: ability dis tribution, conditional likelihood, efficiency, goodness of fit, marginal likelihood, Rasch model, robustness. |
| Databáze: | OpenAIRE |
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