A Direct Method for Obtaining Approximate Standard Error and Confidence Interval of Maximal Reliability for Composites With Congeneric Measures

Multivariate Behavioral Research
Tenko Raykov, Spiridon Penev

Abstract

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 bound of the latter. A direct method for obtaining approximate standard error and confidence interval for maximal reliability is then outlined. The procedure is based on a second-order Taylor series approximation and is readily and widely applicable in empirical research via use of covariance structure modeling. The described method is illustrated with a numerical example.

References

Mar 1, 1967·Psychometrika·M R Novick, C Lewis
Jan 31, 2002·The British Journal of Mathematical and Statistical Psychology·T Raykov
Jun 3, 2004·The British Journal of Mathematical and Statistical Psychology·Tenko Raykov
Jan 1, 1945·Psychometrika·L GUTTMAN

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Citations

Jul 1, 2011·Family Science·Li HuangDario Bacchini
Jun 1, 2006·Multivariate Behavioral Research·Spiridon Penev, Tenko Raykov
Apr 29, 2009·The British Journal of Mathematical and Statistical Psychology·Spiridon Penev, Tenko Raykov
Nov 16, 2007·The British Journal of Mathematical and Statistical Psychology·Tenko Raykov, Spiridon Penev

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