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| 多项McDonald Omega× | 序数克朗巴赫系数（Ordinal Cronbach's Alpha）× | |
|---|---|---|
| 领域 | 心理测量学 | 心理测量学 |
| 方法族 | Latent structure | Latent structure |
| 起源年份≠ | 1999 (omega); 2007 (polytomous extension) | 2007 |
| 提出者≠ | Roderick P. McDonald (omega); extension for polytomous items by Zumbo, Gadermann & Zeisser | Zumbo, Gadermann, and Zeisser |
| 类型≠ | Reliability coefficient | Internal consistency reliability coefficient |
| 开创性文献≠ | Zumbo, B. D., Gadermann, A. M., & Zeisser, C. (2007). Ordinal versions of coefficients alpha and theta as measures of internal consistency for Likert rating scales. Journal of Modern Applied Statistical Methods, 6(1), 21–29. DOI ↗ | Zumbo, B. D., Gadermann, A. M., & Zeisser, C. (2007). Ordinal versions of coefficients alpha and theta for Likert rating scales. Journal of Modern Applied Statistical Methods, 6(1), 21–29. DOI ↗ |
| 别名 | ordinal omega, omega for polytomous items, categorical omega, omega polychoric | alpha for ordinal data, polychoric alpha, ordinal reliability coefficient, alpha based on polychoric correlations |
| 相关 | 3 | 3 |
| 摘要≠ | Polytomous McDonald's omega estimates the internal consistency reliability of a scale composed of ordinal (polytomous) items — such as Likert-type responses — by computing omega from a factor model fitted to the polychoric correlation matrix rather than the Pearson correlation matrix, yielding estimates that are unbiased by the discreteness of item responses. | Ordinal Cronbach's alpha is a reliability coefficient computed from polychoric or polyserial correlations rather than Pearson correlations, making it appropriate for Likert-type and other ordinal item response data. It corrects the systematic downward bias that standard Cronbach's alpha produces when items are treated as continuous but are actually ordinal. |
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