Maximal Criterion Validity and Scale Criterion Validity: A Latent Variable Modeling Approach for Examining Their Difference
| Autor: | Siegfried Gabler, Dimiter M. Dimitrov, Tenko Raykov |
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| Rok vydání: | 2016 |
| Předmět: |
Predictive validity
Sociology and Political Science Scale (ratio) 05 social sciences Interval estimation 050401 social sciences methods 050301 education General Decision Sciences Test validity 0504 sociology Modeling and Simulation Statistics Criterion validity Applied mathematics Linear combination Latent variable model 0503 education General Economics Econometrics and Finance Reliability (statistics) Mathematics |
| Zdroj: | Structural Equation Modeling: A Multidisciplinary Journal. 23:544-554 |
| ISSN: | 1532-8007 1070-5511 |
| DOI: | 10.1080/10705511.2016.1155414 |
| Popis: | This article studies the difference between the criterion validity coefficient of the widely used overall scale score for a unidimensional multicomponent measuring instrument and the maximal criterion validity coefficient that is achievable with a linear combination of its components. A necessary and sufficient condition of their identity is presented in the case of measurement errors being uncorrelated among themselves and with a used criterion. An upper bound of the difference in these validity coefficients is provided, indicating that it cannot exceed the discrepancy between the maximal reliability and composite reliability indexes. A readily applicable latent variable modeling procedure is discussed that can be used for point and interval estimation of the difference between the maximal and scale criterion validity coefficients. The outlined method is illustrated with a numerical example. |
| Databáze: | OpenAIRE |
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