Examining change in maximal reliability for multiple‐component measuring instruments

Tenko Raykov · Gregory Robert Hancock

122 citations0/0 files storedBritish Journal of Mathematical and Statistical Psychology

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Psychometric Methodologies and Testing Health Education and Validation Reliability and Agreement in Measurement

Abstract

A method for examining change in maximal reliability for pre-specified sets of congeneric measures when developing a multi-component instrument is outlined. The approach is applicable for purposes of estimation and testing of gain or loss in the maximal reliability coefficient as a consequence of adding or dropping one or more measures from a homogeneous composite with uncorrelated errors, as well as when one is concerned with optimal component choice for highest increase or correspondingly smallest drop in maximal reliability. The method is compared with a procedure for ascertaining change in unweighted sum score reliability, and implications for instrument construction and revision are discussed. The approach is illustrated with a numerical example.

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References

1989Structural Equations with Latent Variables 1969Statistical Theories of Mental Test Scores 1986Introduction to Classical and Modern Test Theory 2012Applications of Item Response Theory To Practical Testing Problems 2000Test Theory: A Unified Treatment 1971Statistical Analysis of Sets of Congeneric Tests 2001New Developments and Techniques in Structural Equation Modeling 1969STATISTICAL ANALYSIS OF SETS OF CONGENERIC TESTS*

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