Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/17791
Title: Functionally Unidimensional Item Response Models for Multivariate Binary Data
Authors: Ip, Edward H.
MOLENBERGHS, Geert 
Chen, Shyh-Huei
Goegebeur, Yuri
De Boeck, Paul
Issue Date: 2013
Source: Multivariate behavioral research, 48 (4), p. 534-562
Abstract: The problem of fitting unidimensional item response models to potentially multidimensional data has been extensively studied. The focus of this article is on response data that have a strong dimension but also contain minor nuisance dimensions. Fitting a unidimensional model to such multidimensional data is believed to result in ability estimates that represent a combination of the major and minor dimensions. We conjecture that the underlying dimension for the fitted unidimensional model, which we call the functional dimension, represents a nonlinear projection. In this article we investigate 2 issues: (a) can a proposed nonlinear projection track the functional dimension well, and (b) what are the biases in the ability estimate and the associated standard error when estimating the functional dimension? To investigate the second issue, the nonlinear projection is used as an evaluative tool. An example regarding a construct of desire for physical competency is used to illustrate the functional unidimensional approach.
Notes: Reprint Address: Ip, EH (reprint author) Wake Forest Sch Med, Dept Biostat Sci, Med Ctr Blvd,WC23, Winston Salem, NC 27157 USA. E-mail Addresses:eip@wakehealth.edu
Document URI: http://hdl.handle.net/1942/17791
ISSN: 0027-3171
e-ISSN: 1532-7906
DOI: 10.1080/00273171.2013.796281
ISI #: 000322307400003
Rights: Copyright © Taylor & Francis Group, LLC.
Category: A1
Type: Journal Contribution
Validations: ecoom 2015
Appears in Collections:Research publications

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