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Item response models and their use in measuring food insecurity and hunger

This paper aims to give a general discussion of parametric item response theory models, paying close attention to the Rasch model and its extensions for the analysis of multiple dichotomous and polytomous items. As part of this discussion the paper reviews both the models commonly used in IRT and the procedures utilized to estimate the parameters of these models, and their implications. After giving a general introduction to IRT models the paper examines the appropriateness of these models for the measurement of food security and hunger. Specifically, the paper examines how appropriate IRT is for the analysis of the food security items by examining a subset of data from the 2002 CPS, and then asks the question of whether or not the propensity measured by the food security items is in fact related to true food insecurity.