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The Reliability of Diagnosing Broad and Narrow Skills in Middle School Mathematics with the Multicomponent Latent Trait Model

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Quantitative Psychology Research

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 140))

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Abstract

The multicomponent latent trait model for diagnosis (MLTM-D;Embretson and Yang, Psychometrika 78:14–36, 2013) is a conjunctive item response model that is hierarchically organized to include broad and narrow skills. A two-stage adaptive testing procedure was applied to diagnose skill mastery in middle school mathematics and then analyzed with MLTM-D. Strong support for the reliability of diagnosing both broad and narrow skills was obtained from both stages of testing using decision confidence indices.

The research in this report was partially supported by a Goal 5 (Measurement) grant from the Institute of Educational Science Grant R305A100234 to Georgia Institute of Technology, Susan Embretson, Principal Investigator.

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Correspondence to Susan Embretson .

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Embretson, S., Morrison, K., Jun, H.W. (2015). The Reliability of Diagnosing Broad and Narrow Skills in Middle School Mathematics with the Multicomponent Latent Trait Model. In: van der Ark, L., Bolt, D., Wang, WC., Douglas, J., Chow, SM. (eds) Quantitative Psychology Research. Springer Proceedings in Mathematics & Statistics, vol 140. Springer, Cham. https://doi.org/10.1007/978-3-319-19977-1_2

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