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- Classical reliability; coefficient alpha; coefficient omega; compound symmetry; congeneric reliability; correlated item error; deviance from true-score equivalence; internal consistency; reliability; total item error covariance; true-score equivalence; cronbach; (1)
- Coefficient alpha; coefficient omega; congeneric test theory; factor analysis; heterogeneity; homogeneity; internal consistency; reliability; true-score equivalence; cronbach; (1)
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Full-Text Articles in Social and Behavioral Sciences
"Rassling The Hog": The Influence Of Correlated Item Error On Internal Consistency, Classical Reliability, And Congeneric Reliability, Joseph F. Lucke
"Rassling The Hog": The Influence Of Correlated Item Error On Internal Consistency, Classical Reliability, And Congeneric Reliability, Joseph F. Lucke
Joseph Lucke
The properties of internal consistency ($\alpha$), classical reliability ($\rho$), and congeneric reliability ($\omega$) for a composite test with correlated item error were analytically investigated. Possible sources of correlated item error are contextual effects, item bundles, and item models that ignore additional attributes or higher-order attributes. The relation between reliability and internal consistency is determined by the deviance from true-score equivalence. Reliability (classical or congeneric) is internal consistency plus the relative deviance from true-score equivalence. The influence of correlated item error on $\alpha$, $\rho$, and $\omega$ is conveyed strictly through the total item error covariance. As the total item error covariance …
The $\Alpha$ And The $\Omega$ Of Congeneric Test Theory: An Extension Of Reliability And Internal Consistency To Heterogeneous Tests, Joseph F. Lucke
The $\Alpha$ And The $\Omega$ Of Congeneric Test Theory: An Extension Of Reliability And Internal Consistency To Heterogeneous Tests, Joseph F. Lucke
Joseph Lucke
Psychometric theory focuses primarily on tests that are homogeneous, that measure only one attribute of a psychosocial entity. However, the complexity of psychosocial behavior often requires tests that are heterogeneous, that measure more than one attribute. In this presentation, reliability and internal consistency are extended to heterogeneous tests under the rubric of congeneric test theory. The extensions show that reliability and internal consistency have very similar properties. Reliability and internal consistency are shown to be unique up to a linear transformation. Whereas internal consistency is a lower bound to reliability in the homogeneous case, it is a strict lower bound …