An Assessment of the Dimensionality of Three SAT-Verbal Test Editions

Linda L. Cook, Neil J. Dorans and Daniel R. Eignor

Journal of Educational and Behavioral Statistics, 1988, vol. 13, issue 1, 19-43

Abstract: A strong assumption made by most commonly used item response theory (IRT) models is that the data are unidimensional, that is, statistical dependence among item scores can be explained by a single ability dimension. First-order and second-order factor analyses were conducted on correlation matrices among item parcels of SAT-Verbal items. The item parcels were constructed to yield correlation matrices that were amenable to linear factor analyses. The first-order analyses were employed to assess the effective dimensionality of the item parcel data. Second-order analyses were employed to test meaningful hypotheses about the structure of the data. Parcels were constructed for three SAT-Verbal editions. The dimensionality analyses revealed that one SAT-Verbal test edition was less parallel to the other two editions than these other editions were to each other. Refinements in the dimensionality methodology and a more systematic dimensionality assessment are logical extensions of the present research.

Keywords: factor analysis; binary data; item parcelling (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:13:y:1988:i:1:p:19-43

DOI: 10.3102/10769986013001019

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