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ERIC Number: EJ1067623
Record Type: Journal
Publication Date: 2015-Aug
Pages: 14
Abstractor: As Provided
ISSN: ISSN-0013-1644
The Importance of the Assumption of Uncorrelated Errors in Psychometric Theory
Raykov, Tenko; Marcoulides, George A.; Patelis, Thanos
Educational and Psychological Measurement, v75 n4 p634-647 Aug 2015
A critical discussion of the assumption of uncorrelated errors in classical psychometric theory and its applications is provided. It is pointed out that this assumption is essential for a number of fundamental results and underlies the concept of parallel tests, the Spearman-Brown's prophecy and the correction for attenuation formulas as well as the discrepancy between observed and true correlations, and the upper bound property of the reliability index with respect to validity. These relationships are shown not to hold if the errors of considered pairs of tests are correlated. The assumption of lack of error correlation is demonstrated not to be testable using standard covariance structure analysis for pairs of indivisible measures evaluating the same true score with identical error variances.
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A