首页> 外文期刊>Journal of applied measurement >Priors in Bayesian Estimation under the Rasch Model
【24h】

Priors in Bayesian Estimation under the Rasch Model

机译:Rasch模型下贝叶斯估计的前瞻

获取原文
获取原文并翻译 | 示例
           

摘要

A review of various priors used in Bayesian estimation under the Rasch model is presented together with clear mathematical definitions of the hierarchical prior distributions. A Bayesian estimation method, Gibbs sampling, was compared with conditional, marginal, and joint maximum likelihood estimation methods using the Knox Cube Test data under the Rasch model. The shrinkage effect of the priors on item and ability parameter estimates was also investigated using the Knox Cube Test data. In addition, item response data for a mathematics test with 14 items by 765 examinees were analyzed with the joint maximum likelihood estimation method and Gibbs sampling under the Rasch model. Both methods yielded nearly identical item parameter estimates. The shrinkage effect was observed in the ability estimates from Gibbs sampling. The computer program OpenBUGS that implemented the rejection sampling method of Gibbs sampling was the main program employed in the study.
机译:对Rasch模型下的贝叶斯估计中使用的各种前沿的审查呈现在分层的明确数学定义。使用RASCH模型下的knox立方体测试数据将贝叶斯估计方法Gibbs采样进行比较。使用knox立方体试验数据进行了条件,边缘和关节最大似然估计方法。还使用诺克斯多维数据集测试数据研究了物品和能力参数估计上的收缩效应。此外,通过在RASCH模型下的关节最大似然估计方法和GIBBS采样分析了765次考生的数学测试的物品响应数据。两种方法都产生了几乎相同的项目参数估计。在Gibbs采样的能力估计中观察到收缩效应。实现Gibbs采样抑制采样方法的计算机程序张开培验是研究中使用的主要程序。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号