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| 稳健的 Cronbach's Alpha (Robust Cronbach's Alpha)× | 项目反应理论 (IRT)× | |
|---|---|---|
| 领域 | 心理测量学 | 心理测量学 |
| 方法族 | Latent structure | Latent structure |
| 起源年份≠ | 2002–2016 | 1952–1968 |
| 提出者≠ | Derived from Lee J. Cronbach (1951); robust variants formalized by Yuan & Bentler (2002) and Zhang & Yuan (2016) | Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models) |
| 类型≠ | Robust reliability coefficient | Probabilistic measurement model |
| 开创性文献≠ | Yuan, K.-H., & Bentler, P. M. (2002). On robustness of the normal-theory based asymptotic distributions of three reliability coefficient estimates. Psychometrika, 67(2), 251–268. DOI ↗ | Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗ |
| 别名 | robust alpha, outlier-resistant Cronbach's alpha, robust internal consistency, robust coefficient alpha | IRT, latent trait theory, item characteristic curve theory, modern test theory |
| 相关≠ | 3 | 5 |
| 摘要≠ | Robust Cronbach's alpha adapts the classical internal consistency coefficient to data that violate the assumption of multivariate normality or contain influential outliers. By replacing the conventional sample covariance matrix with a robust counterpart, it yields a reliability estimate that is resistant to distortion by non-normal response distributions, contaminated observations, or small violations of model assumptions common in applied psychometric work. | Item response theory models the probability that a respondent answers an item correctly (or endorses it) as a function of the respondent's latent trait level and the item's own statistical properties — difficulty, discrimination, and guessing. Unlike classical test theory, IRT places persons and items on the same scale, yielding measurement that is sample-independent for items and test-independent for persons. |
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