ESTIMATING LATENT DISTRIBUTIONS
ESTIMATING LATENT DISTRIBUTIONS
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DOI：
10.1007/bf02306026
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发表时间：
1984-01-01
期刊：
影响因子：
3
通讯作者：
MISLEVY, RJ
中科院分区：
文献类型：
--
作者：
MISLEVY, RJ
考虑从群体中的受试者样本获得的项目响应向量，其中能力 θ 以密度 g (θ‖α) 分布，其中 α 是未知参数。假设响应通过完全指定的项目响应模型取决于 θ，本文提出了直接从观察到的响应估计总体参数的最大似然方程；即，无需估计每个受试者的能力参数。还提供了渐近标准误差和拟合检验、计算近似值以及四种特殊情况的详细信息：非参数近似值、正态解、正态分量的分辨率和 beta 二项式解。
Consider vectors of item responses obtained from a sample of subjects from a population in which ability θ is distributed with density g (θ‖α), where the α are unknown parameters. Assuming the responses depend on θ through a fully specified item response model, this paper presents maximum likelihood equations for the estimation of the population parameters directly from the observed responses; i.e., without estimating an ability parameter for each subject. Also provided are asymptotic standard errors and tests of fit, computing approximations, and details of four special cases: a non-parametric approximation, a normal solution, a resolution of normal components, and a beta-binomial solution.