| 三参数正态双卵模型Gibbs抽样算法研究 |
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| 引用本文： | 孟祥斌,薛学梅,崔胜鹏. 三参数正态双卵模型Gibbs抽样算法研究[J]. 数学研究, 2013, 0(2): 183-193 |
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| 作者姓名： | 孟祥斌 薛学梅 崔胜鹏 |
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| 作者单位： | [1]东北师范大学教育学部教育管理学院,吉林长春130024 [2]厦门大学数学科学学院,福建厦门361005 [3]黑龙江幼儿师范高等专科学校,黑龙江牡丹江157001 |
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| 基金项目： | 中央高校基本科研业务费专项资金（12SSXM006）和（10SSXT150）资助 |
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| 摘 要： | 项目反应理论作为一种现代的教育和心理测量方法,凭借其强大的优势和先进性,在实际测量中应用越来越广泛.能否有效地估计模型中的参数是项目反应模型得以应用的前提.本文基于数据扩充技术给出了一种适用于三参数正态双卵模型的Gibbs抽样算法,有效的实现三参数正态双卵模型的贝叶斯分析.最后,通过计算机模拟研究和实例分析对该算法的有效性进行了验证.
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| 关 键 词： | 正态双卵模型 Gibbs抽样 MCMC方法 贝叶斯估计 |
The Study of Gibbs Three-parameter Sampling Algorithm for Normal Ogive Model |
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| Meng Xiangbin,Xue Xuemei,Cui Shengpeng. The Study of Gibbs Three-parameter Sampling Algorithm for Normal Ogive Model[J]. Journal of Mathematical Study, 2013, 0(2): 183-193 |
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| Authors: | Meng Xiangbin Xue Xuemei Cui Shengpeng |
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| Affiliation: | Meng Xiangbin Xue Xuemei Cui Shengpen The Education and Management Department of Northeast Normal University Faculty of Education, Changchun Jilin 130024 School of Mathematical Science, Xiamen University, Xiamen Fujian 361005 3. Heilongjiang Preschool Education College, Mudangjiang Heilongjiang 157011) |
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| Abstract: | Item response theory as a kind of modern educational and psychological mea- surement method, with its strong advantage and progressiveness, is applied more and more widely in the actual measurement. Whether it can effectively estimate the parameters in the model is the premise of item response model application. In this paper, we propose the Gibbs sampling algorithm for three-parmneter normal ogive based on the data expansion technique to effectively realize Bayesian analysis of three-parameter normal ogive model. Finally, the effectiveness of this algorithm is verified by computer simulation study. |
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| Keywords: | Normal ogive model Gibbs sampling MCMC method Bayesian estimation |
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