| 基于试题库组卷的最小题量的构建 |
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| 引用本文： | 曹丽华,伍春兰,张玉.基于试题库组卷的最小题量的构建[J].北京教育学院学报(自然科学版),2016(2):9-13. |
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| 作者姓名： | 曹丽华 伍春兰 张玉 |
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| 作者单位： | 1. 深圳大学数学与统计学院,广东 深圳,518060;2. 北京教育学院教师教育数理学院,北京,100120 |
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| 基金项目： | 深圳大学基础教育研究项目(15JCJY0207;15JCJY0208)，深圳大学人文社会科学青年教师扶持项目(16QNFC53)。 |
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| 摘 要： | 网络环境下,利用试题库共组卷2m份,要求前m份试卷没有重题,而从第(m+1)份试卷起,每份试卷中出现前m份试卷用过试题的概率不超过某个限定值。在此条件下,利用有关的概率统计理论,构建了试题库所需的最小题量的模型,以及一份试卷中出现用过试题数的期望。最后,以一个例子说明该模型的应用。
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| 关 键 词： | 组卷 试题库 最小题量 期望 |
The Modeling of the Minimum Amount of the Items in a Test Database |
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| Cao Lihua,Wu Chunlan,Zhang Yu.The Modeling of the Minimum Amount of the Items in a Test Database[J].Journal of Beijing Institute of Education,2016(2):9-13. |
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| Authors: | Cao Lihua Wu Chunlan Zhang Yu |
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| Abstract: | In network instruction, we use the test database to generate 2m test papers to check the effect of learning. We assume that test items taken from the database cannot be repetitive in the begin-ning m papers, and from the (m+1) to 2m paper, the probability of the used items to occur is restricted to a certain limit. The modeling of the minimum amount of the items in a test database is derived by the use of the probability theory. The mathematical expectation for the amount of used test items in a test paper is analyzed. At last, an example is given as an illustration for the feasibility of the model. |
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| Keywords: | paper generation test database minimum amount mathematical expectation |
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