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Evaluating the Discrepancy between Scale Reliability and Cronbach's Coefficient Alpha Using Latent Variable Modeling
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Raykov, Tenko; Marcoulides, George A. – Measurement: Interdisciplinary Research and Perspectives, 2023
This article outlines a readily applicable procedure for point and interval estimation of the population discrepancy between reliability and the popular Cronbach's coefficient alpha for unidimensional multi-component measuring instruments with uncorrelated errors, which are widely used in behavioral and social research. The method is developed…
Descriptors: Measurement, Test Reliability, Measurement Techniques, Error of Measurement
Evaluation of Variance Inflation Factors in Regression Models Using Latent Variable Modeling Methods
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Marcoulides, Katerina M.; Raykov, Tenko – Educational and Psychological Measurement, 2019
A procedure that can be used to evaluate the variance inflation factors and tolerance indices in linear regression models is discussed. The method permits both point and interval estimation of these factors and indices associated with explanatory variables considered for inclusion in a regression model. The approach makes use of popular latent…
Descriptors: Regression (Statistics), Statistical Analysis, Computation, Computer Software
Evaluation of Scale Reliability with Binary Measures Using Latent Variable Modeling
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Raykov, Tenko; Dimitrov, Dimiter M.; Asparouhov, Tihomir – Structural Equation Modeling: A Multidisciplinary Journal, 2010
A method for interval estimation of scale reliability with discrete data is outlined. The approach is applicable with multi-item instruments consisting of binary measures, and is developed within the latent variable modeling methodology. The procedure is useful for evaluation of consistency of single measures and of sum scores from item sets…
Descriptors: Reliability, Computation, Models, Intervals
Interval Estimation of Revision Effect on Scale Reliability via Covariance Structure Modeling
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Raykov, Tenko – Structural Equation Modeling: A Multidisciplinary Journal, 2009
A didactic discussion of a procedure for interval estimation of change in scale reliability due to revision is provided, which is developed within the framework of covariance structure modeling. The method yields ranges of plausible values for the population gain or loss in reliability of unidimensional composites, which results from deletion or…
Descriptors: Intervals, Computation, Reliability, Change
Evaluation of Weighted Scale Reliability and Criterion Validity: A Latent Variable Modeling Approach
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Raykov, Tenko – Measurement and Evaluation in Counseling and Development, 2007
A method is outlined for evaluating the reliability and criterion validity of weighted scales based on sets of unidimensional measures. The approach is developed within the framework of latent variable modeling methodology and is useful for point and interval estimation of these measurement quality coefficients in counseling and education…
Descriptors: Predictive Validity, Computation, Reliability, Item Response Theory
Using the Delta Method for Approximate Interval Estimation of Parameter Functions in SEM
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Raykov, Tenko; Marcoulides, George A. – Structural Equation Modeling, 2004
In applications of structural equation modeling, it is often desirable to obtain measures of uncertainty for special functions of model parameters. This article provides a didactic discussion of how a method widely used in applied statistics can be employed for approximate standard error and confidence interval evaluation of such functions. The…
Descriptors: Intervals, Structural Equation Models, Evaluation Methods, Statistical Analysis