Article2002

Analytic Estimation of Standard Error and Confidence Interval for Scale Reliability

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Psychometric Methodologies and Testing Statistical Methods and Bayesian Inference Reliability and Agreement in Measurement

Abstract

An analytic approach to standard error and confidence interval estimation of scale reliability with fixed congeneric measures is proposed that is based on a generally applicable estimator stability evaluation procedure, the delta method (e.g., Ogasawara, 1999). The approach complements wide-spread point estimation of composite reliability in behavioral scale construction and development, and can be used to evaluate precision of estimates and plausible ranges for reliability of multiple-component instruments in studied populations. The method is illustrated by means of a numerical example.

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References

1951Coefficient Alpha and the Internal Structure of Tests 1989Structural Equations with Latent Variables 1991Structural Equations with Latent Variables.1989EQS : structural equations program manual 1969Statistical Theories of Mental Test Scores 1997Estimation of Composite Reliability for Congeneric Measures 1971Statistical Analysis of Sets of Congeneric Tests 1969STATISTICAL ANALYSIS OF SETS OF CONGENERIC TESTS*

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2007Estimating ω h for Structures Containing Two Group Factors: Perils and Prospects 2009Constructing Approximate Confidence Intervals for Parameters With Structural Equation Models 2013Measurement of composite reliability in research using partial least squares 2021A Comparison of Reliability Estimation Based on Confirmatory Factor Analysis and Exploratory Structural Equation Models 2004Point and Interval Estimation of Reliability for Multiple-Component Measuring Instruments via Linear Constraint Covariance Structure Modeling

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