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Conditional Standard Errors of Measurement for Scale Scores Using IRT
Author(s) -
Kolen Michael J.,
Zeng Lingjia,
Hanson Bradley A.
Publication year - 1996
Publication title -
journal of educational measurement
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.917
H-Index - 47
eISSN - 1745-3984
pISSN - 0022-0655
DOI - 10.1111/j.1745-3984.1996.tb00485.x
Subject(s) - standard error , scale (ratio) , reliability (semiconductor) , statistics , item response theory , observational error , rounding , mathematics , psychometrics , computer science , econometrics , power (physics) , physics , quantum mechanics , operating system
An IRT method for estimating conditional standard errors of measurement of scale scores is presented, where scale scores are nonlinear transformations of number‐correct scores. The standard errors account for measurement error that is introduced due to rounding scale scores to integers. Procedures for estimating the average conditional standard error of measurement for scale scores and reliability of scale scores are also described. An illustration of the use of the methodology is presented, and the results from the IRT method are compared to the results from a previously developed method that is based on strong true‐score theory.