Bayesian modeling of measurement error in predictor variables using item response theory
Bayesian modeling of measurement error in predictor variables using item response theory
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DOI:
10.1007/bf02294796
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发表时间:
2003-06-01
期刊:
影响因子:
3
通讯作者:
Glas, CAW
中科院分区:
文献类型:
--
作者:
Fox, JP;Glas, CAW
It is shown that measurement error in predictor variables can be modeled using item response theory (IRT). The predictor variables, that may be defined at any level of an hierarchical regression model, are treated as,latent variables. The normal ogive model is used to describe the relation between the latent variables and dichotomous observed variables, which may be responses to tests or questionnaires. It will be shown that the multilevel model with measurement error in the observed predictor variables can be estimated in a Bayesian framework using Gibbs sampling. In this article, handling measurement error via the normal ogive model is compared with alternative approaches using the classical true score model. Examples using real data are given.