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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 – Measurement and Evaluation in Counseling and Development, 2009
This article outlines a readily and widely applicable procedure of reliability evaluation for scales with unidimensional measures. The method is developed within the framework of the popular latent variable modeling methodology, and it accomplishes point, as well as interval, estimation of measuring instrument reliability. The approach can be…
Descriptors: Measures (Individuals), Reliability, Evaluation Methods, Computation
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Raykov, Tenko; Penev, Spiridon – Multivariate Behavioral Research, 2006
Unlike a substantial part of reliability literature in the past, this article is concerned with weighted combinations of a given set of congeneric measures with uncorrelated errors. The relationship between maximal coefficient alpha and maximal reliability for such composites is initially dealt with, and it is shown that the former is a lower…
Descriptors: Error of Measurement, Intervals, Reliability, Multivariate Analysis
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Penev, Spiridon; Raykov, Tenko – Multivariate Behavioral Research, 2006
A linear combination of a set of measures is often sought as an overall score summarizing subject performance. The weights in this composite can be selected to maximize its reliability or to maximize its validity, and the optimal choice of weights is in general not the same for these two optimality criteria. We explore several relationships…
Descriptors: Behavioral Science Research, Reliability, Validity, Evaluation Methods
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Raykov, Tenko; Marcoulides, George A. – International Journal of Testing, 2006
A structural equation modeling approach to scale reliability evaluation can be employed to estimate generalizability theory indexes in settings where sampling of subjects and conditions is carried out. In one- and two-facet crossed designs, it is demonstrated how this method can be used to obtain estimates of relative generalizability…
Descriptors: Computation, Generalizability Theory, Structural Equation Models, Reliability
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Raykov, Tenko – Behavior Therapy, 2004
A latent variable modeling approach to reliability and measurement invariance evaluation for multiple-component measuring instruments is outlined. An initial discussion deals with the limitations of coefficient alpha, a frequently used index of composite reliability. A widely and readily applicable structural modeling framework is next described…
Descriptors: Interpersonal Relationship, Measures (Individuals), Interaction, Error of Measurement