GENERALIZED LINEAR ITEM RESPONSE THEORY
GENERALIZED LINEAR ITEM RESPONSE THEORY
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DOI：
10.1037/0033-2909.115.2.300
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发表时间：
1994-03-01
影响因子：
22.4
通讯作者：
MELLENBERGH, GJ
中科院分区：
文献类型：
--
作者：
MELLENBERGH, GJ
本文讨论了广义线性项目反应理论，它基于以下假设：（a）反应的分布是根据给定的项目格式而发生的：（B）项目反应由一个连续的或名义的潜变量和p个潜变量以及连续的或名义的观测变量来解释;（c）在给定解释变量值的情况下，对测试的不同项目的反应是独立分布的;以及（d）需要期望项目响应τ的单调可微函数g，使得解释变量的线性组合是预测器g（tau）。结果表明，大多数著名的心理测量模型是广义理论的特殊情况下，如差分项目功能，具体的客观性，可靠性和信息的概念可以归入广义理论。
In this article generalized linear item response theory is discussed, which is based on the following assumptions: (a) A distribution of the responses occurs according to a given item format; (b) the item responses are explained by one continuous or nominal latent variable and p latent as well as observed variables that are continuous or nominal; (c) the responses to the different items of a test are independently distributed given the values of the explanatory variables; and (d) a monotone differentiable function g of the expected item response tau is needed such that a linear combination of the explanatory variables is a predictor of g(tau). It is shown that most of the well-known psychometric models are special cases of the generalized theory and that concepts such as differential item functioning, specific objectivity, reliability, and information can be subsumed under the generalized theory.