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Applied Psychological Measurement
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Standardized Conditional SEM: A Case for Conditional Reliability

Nambury S. Raju

Illinois Institute of Technology

Larry R. Price

Texas State University—San Marcos , lprice{at}txstate.edu

T.C. Oshima

Georgia State University

Michael L. Nering

Measured Progress

An examinee-level (or conditional) reliability is proposed for use in both classical test theory (CTT) and item response theory (IRT). The well-known group-level reliability is shown to be the average of conditional reliabilities of examinees in a group or a population. This relationship is similar to the known relationship between the square of the conditional standard error of measurement (SEM) and the square of the group-level SEM. The proposed conditional reliability is illustrated with an empirical data set in the CTT and IRT frameworks.

Key Words: Index terms: conditional standard error of measurement • conditional reliability • classical test theory • item response theory

Applied Psychological Measurement, Vol. 31, No. 3, 169-180 (2007)
DOI: 10.1177/0146621606291569
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