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Explanatory Multidimensional Multilevel Random Item Response Model: An Application to Simultaneous Investigation of Word and Person Contributions to Multidimensional Lexical Representations

Published online by Cambridge University Press:  01 January 2025

Sun-Joo Cho ,
Jennifer K. Gilbert  and
Amanda P. Goodwin
Sun-Joo Cho*
Affiliation:
Peabody College of Vanderbilt University
Jennifer K. Gilbert
Affiliation:
Peabody College of Vanderbilt University
Amanda P. Goodwin
Affiliation:
Peabody College of Vanderbilt University
*
Requests for reprints should be sent to Sun-Joo Cho, Vanderbilt University, Peabody #H213A, 230 Appleton Place, Nashville, TN 37203, USA. E-mail: [email protected]
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Abstract

This paper presents an explanatory multidimensional multilevel random item response model and its application to reading data with multilevel item structure. The model includes multilevel random item parameters that allow consideration of variability in item parameters at both item and item group levels. Item-level random item parameters were included to model unexplained variance remaining when item related covariates were used to explain variation in item difficulties. Item group-level random item parameters were included to model dependency in item responses among items having the same item stem. Using the model, this study examined the dimensionality of a person’s word knowledge, termed lexical representation, and how aspects of morphological knowledge contributed to lexical representations for different persons, items, and item groups.

Keywords

lexical representationmultidimensional item response modelmultilevel item structurerandom item parameters
Type
Original Paper
Information
Psychometrika , Volume 78 , Issue 4 , October 2013 , pp. 830 - 855
Copyright
Copyright © 2013 The Psychometric Society

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