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Raykov T, Penev S. A Direct Method for Obtaining Approximate Standard Error and Confidence Interval of Maximal Reliability for Composites With Congeneric Measures. Multivariate Behav Res. 2006;41(1):15-28doi: 10.1207/s15327906mbr4101_2.
Raykov, T., & Penev, S. (2006). A Direct Method for Obtaining Approximate Standard Error and Confidence Interval of Maximal Reliability for Composites With Congeneric Measures. Multivariate behavioral research, 41(1), 15-28. https://doi.org/10.1207/s15327906mbr4101_2
Raykov, Tenko, and Penev, Spiridon. "A Direct Method for Obtaining Approximate Standard Error and Confidence Interval of Maximal Reliability for Composites With Congeneric Measures." Multivariate behavioral research vol. 41,1 (2006): 15-28. doi: https://doi.org/10.1207/s15327906mbr4101_2
Raykov T, Penev S. A Direct Method for Obtaining Approximate Standard Error and Confidence Interval of Maximal Reliability for Composites With Congeneric Measures. Multivariate Behav Res. 2006 Mar 01;41(1):15-28. doi: 10.1207/s15327906mbr4101_2. PMID: 26788892.
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Multivariate Behav Res. 2006 Mar 01;41(1):15-28. doi: 10.1207/s15327906mbr4101_2.

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

PMID: 26788892 DOI: 10.1207/s15327906mbr4101_2

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.

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