Factor Analysis of Categorical Item Responses

Authored by: R. Darrell Bock , Robert Gibbons

Handbook of Polytomous Item Response Theory Models

Print publication date:  April  2010
Online publication date:  January  2011

Print ISBN: 9780805859928
eBook ISBN: 9780203861264
Adobe ISBN: 9781135168728

10.4324/9780203861264.ch7

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Abstract

Editor Introduction: This chapter takes a polytomous IRT model (Samejima’s normal model for graded responses) and applies it within a factor analytic context. This allows the evaluation of a set of data in an exploratory and confirmatory factor analytic framework. As well as demonstrating an application of a polytomous IRT model, this chapter also shows how such models can be used to evaluate model fit and the dimensionality of a set of data.

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