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Raykov, Tenko; Marcoulides, George A. – Educational and Psychological Measurement, 2019
This note discusses the merits of coefficient alpha and their conditions in light of recent critical publications that miss out on significant research findings over the past several decades. That earlier research has demonstrated the empirical relevance and utility of coefficient alpha under certain empirical circumstances. The article highlights…
Descriptors: Test Validity, Test Reliability, Test Items, Correlation
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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
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Raykov, Tenko; Dimitrov, Dimiter M.; Marcoulides, George A.; Harrison, Michael – Educational and Psychological Measurement, 2019
This note highlights and illustrates the links between item response theory and classical test theory in the context of polytomous items. An item response modeling procedure is discussed that can be used for point and interval estimation of the individual true score on any item in a measuring instrument or item set following the popular and widely…
Descriptors: Correlation, Item Response Theory, Test Items, Scores
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Raykov, Tenko; Marcoulides, George A.; Harrison, Michael; Menold, Natalja – Educational and Psychological Measurement, 2019
This note confronts the common use of a single coefficient alpha as an index informing about reliability of a multicomponent measurement instrument in a heterogeneous population. Two or more alpha coefficients could instead be meaningfully associated with a given instrument in finite mixture settings, and this may be increasingly more likely the…
Descriptors: Statistical Analysis, Test Reliability, Measures (Individuals), Computation
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Dowling, N. Maritza; Raykov, Tenko; Marcoulides, George A. – Educational and Psychological Measurement, 2019
Longitudinal studies have steadily grown in popularity across the educational and behavioral sciences, particularly with the increased availability of technological devices that allow the easy collection of repeated measures on multiple dimensions of substantive relevance. This article discusses a procedure that can be used to evaluate population…
Descriptors: Longitudinal Studies, Older Adults, Cognitive Processes, Dementia
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Raykov, Tenko; Dimitrov, Dimiter M.; Marcoulides, George A.; Harrison, Michael – Educational and Psychological Measurement, 2019
Building on prior research on the relationships between key concepts in item response theory and classical test theory, this note contributes to highlighting their important and useful links. A readily and widely applicable latent variable modeling procedure is discussed that can be used for point and interval estimation of the individual person…
Descriptors: True Scores, Item Response Theory, Test Items, Test Theory
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Raykov, Tenko; Dimitrov, Dimiter M.; Marcoulides, George A.; Li, Tatyana; Menold, Natalja – Educational and Psychological Measurement, 2018
A latent variable modeling method for studying measurement invariance when evaluating latent constructs with multiple binary or binary scored items with no guessing is outlined. The approach extends the continuous indicator procedure described by Raykov and colleagues, utilizes similarly the false discovery rate approach to multiple testing, and…
Descriptors: Models, Statistical Analysis, Error of Measurement, Test Bias
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Raykov, Tenko; Marcoulides, George A.; Dimitrov, Dimiter M.; Li, Tatyana – Educational and Psychological Measurement, 2018
This article extends the procedure outlined in the article by Raykov, Marcoulides, and Tong for testing congruence of latent constructs to the setting of binary items and clustering effects. In this widely used setting in contemporary educational and psychological research, the method can be used to examine if two or more homogeneous…
Descriptors: Tests, Psychometrics, Test Items, Construct Validity
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Raykov, Tenko; Marcoulides, George A. – Educational and Psychological Measurement, 2018
This article outlines a procedure for examining the degree to which a common factor may be dominating additional factors in a multicomponent measuring instrument consisting of binary items. The procedure rests on an application of the latent variable modeling methodology and accounts for the discrete nature of the manifest indicators. The method…
Descriptors: Measurement Techniques, Factor Analysis, Item Response Theory, Likert Scales
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Raykov, Tenko; Goldammer, Philippe; Marcoulides, George A.; Li, Tatyana; Menold, Natalja – Educational and Psychological Measurement, 2018
A readily applicable procedure is discussed that allows evaluation of the discrepancy between the popular coefficient alpha and the reliability coefficient of a scale with second-order factorial structure that is frequently of relevance in empirical educational and psychological research. The approach is developed within the framework of the…
Descriptors: Test Reliability, Factor Structure, Statistical Analysis, Computation
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Raykov, Tenko; Marcoulides, George A.; Li, Tenglong – Educational and Psychological Measurement, 2018
This note extends the results in the 2016 article by Raykov, Marcoulides, and Li to the case of correlated errors in a set of observed measures subjected to principal component analysis. It is shown that when at least two measures are fallible, the probability is zero for any principal component--and in particular for the first principal…
Descriptors: Factor Analysis, Error of Measurement, Correlation, Reliability
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Raykov, Tenko; Marcoulides, George A.; Li, Tenglong – Educational and Psychological Measurement, 2017
The measurement error in principal components extracted from a set of fallible measures is discussed and evaluated. It is shown that as long as one or more measures in a given set of observed variables contains error of measurement, so also does any principal component obtained from the set. The error variance in any principal component is shown…
Descriptors: Error of Measurement, Factor Analysis, Research Methodology, Psychometrics
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Raykov, Tenko; Marcoulides, George A.; Akaeze, Hope O. – Educational and Psychological Measurement, 2017
This note is concerned with examining the relationship between within-group and between-group variances in two-level nested designs. A latent variable modeling approach is outlined that permits point and interval estimation of their ratio and allows their comparison in a multilevel study. The procedure can also be used to test various hypotheses…
Descriptors: Comparative Analysis, Models, Statistical Analysis, Hierarchical Linear Modeling
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Menold, Natalja; Raykov, Tenko – Educational and Psychological Measurement, 2016
This article examines the possible dependency of composite reliability on presentation format of the elements of a multi-item measuring instrument. Using empirical data and a recent method for interval estimation of group differences in reliability, we demonstrate that the reliability of an instrument need not be the same when polarity of the…
Descriptors: Test Reliability, Test Format, Test Items, Differences
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Raykov, Tenko; Marcoulides, George A. – Educational and Psychological Measurement, 2016
The frequently neglected and often misunderstood relationship between classical test theory and item response theory is discussed for the unidimensional case with binary measures and no guessing. It is pointed out that popular item response models can be directly obtained from classical test theory-based models by accounting for the discrete…
Descriptors: Test Theory, Item Response Theory, Models, Correlation
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