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ERIC Number: EJ1201539
Record Type: Journal
Publication Date: 2019-Feb
Pages: 14
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0013-1644
EISSN: N/A
Conditional Precision of Measurement for Test Scores: Are Conditional Standard Errors Sufficient?
Nicewander, W. Alan
Educational and Psychological Measurement, v79 n1 p5-18 Feb 2019
This inquiry is focused on three indicators of the precision of measurement--conditional on fixed values of ?, the latent variable of item response theory (IRT). The indicators that are compared are (1) The traditional, conditional standard errors, s(eX|?) = CSEM; (2) the IRT-based conditional standard errors, s[subscript irt](eX|?)=C[subscript irt]SEM=square root[1/I(?,X)] (where I(?,X) is the IRT score information function); and (3) a new conditional reliability coefficient, ?(X,X'|?). These indicators of conditional precision are shown to be functionally related to one another. The IRT-based, conditional CSEM, C[subscript irt]SEM, and the conditional reliability, ?(X,X'|?), involve an estimate of the conditional true variance, s[superscript 2](tX|?), which is shown to be approximately equal to the numerator of the score information function. It is argued--and illustrated with an example--that the traditional, conditional standard error, CSEM, is not sufficient for determining conditional score precision when used as the lone indicator of precision; hence, the portions of a score distribution, where scores are most-and-least precise, can be misidentified.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A