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Autor/in | Nicewander, W. Alan |
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Titel | Conditional Precision of Measurement for Test Scores: Are Conditional Standard Errors Sufficient? |
Quelle | In: Educational and Psychological Measurement, 79 (2019) 1, S.5-18 (14 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0013-1644 |
DOI | 10.1177/0013164418758373 |
Schlagwörter | Measurement; Accuracy; Scores; Error of Measurement; Item Response Theory; Equations (Mathematics); Tests; Test Reliability |
Abstract | 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. (As Provided). |
Anmerkungen | SAGE Publications. 2455 Teller Road, Thousand Oaks, CA 91320. Tel: 800-818-7243; Tel: 805-499-9774; Fax: 800-583-2665; e-mail: journals@sagepub.com; Web site: http://sagepub.com |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2020/1/01 |