Testing the Equality of Two Related Intraclass Reliability Coefficients

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Abstract
An approximate statistical test of the equality of two intraclass reliability coefficients based on the same sample of people is derived. Such a test is needed when a researcher wishes to compare the reliability of two measurement procedures and both procedures can be applied to the performances or products of the same group of individuals. A numerical example is presented. Monte carlo studies indicate that the proposed test effectively controls Type I error with as few as two or three measurements on each of 50 people. Index terms: equality of related intraclass reliability coefficients, intraclass reliability, sampling theory, Speannan-Brown extrapolation, statistical test.