A stochastic growth model applied to repeated tests of academic knowledge

A stochastic growth model applied to repeated tests of academic knowledge
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应用于学术知识重复测试的随机增长模型

DOI：
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发表时间：
1989
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通讯作者：
M. P. Janssen
M. P. Janssen
中科院分区：
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文献类型：
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作者：
W. Albers;R. Does;T. Imbos;M. P. Janssen

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在林堡大学的医学课程中，学生们总共要完成24项进度测试，包括从固定的项目库中提取的项目。本文提出了一个反映这些结果的知识增长模型。采用Rasch模型作为起点，但能力和难度参数都是随机的，并将logistic分布替换为正态分布。通过简单的线性回归来估计和解释个人和群体的能力。对实际数据的应用表明，该模型拟合良好。
In the course of the medical program at the University of Limburg, students complete a total of 24 progress tests, consisting of items drawn from a constant itembank. A model is presented for the growth of knowledge reflected by these results. The Rasch model is used as a starting point, but both ability and difficulty parameters are taken to be random, and moreover the logistic distribution is replaced by the normal. Both individual and group abilities are estimated and explained through simple linear regression. Application to real data shows that the model fits very well.