Conditions of completeness of the Q-matrix of tests for cognitive diagnosis
Conditions of completeness of the Q-matrix of tests for cognitive diagnosis
复制标题
认知诊断测试 Q 矩阵的完整性条件
DOI：
10.1007/978-3-319-38759-8_19
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Chia
中科院分区：
文献类型：
--
作者：
Hans;Chia
基于认知诊断框架的测试项目与解决它们所需的技能之间的关联记录在q矩阵中。如果题目的技能概况允许在考生中识别所有可能的熟练等级，那么测试的q矩阵就被认为是完整的。不完整的q矩阵导致考生被分配到他们不属于的熟练等级。因此，q矩阵的完备性是任何认知诊断测试的必要条件。然而，q矩阵的完备性通常很难建立，特别是对于涉及多种技能的大量项目的测试。作为一个额外的复杂性，完备性并不是q矩阵的固有属性，而只能参考作为数据基础的特定诊断分类模型（DCM）来评估——也就是说，给定测试的q矩阵对于一个模型是完备的，而对于另一个模型则是不完备的。对于不同类型的dcm，研究了q -完备性的条件。导出了确定给定q矩阵完备性的规则。
The associations between the items of a test based on the cognitive diagnosis framework and the skills required to solve them are documented in the Q-matrix. If the items have skill profiles that allow for the identification of all possible proficiency classes among examinees, then the Q-matrix of the test is said to be complete. An incomplete Q-matrix causes examinees to be assigned to proficiency classes to which they do not belong. Thus, completeness of the Q-matrix is an integral requirement of any cognitively diagnostic test. However, completeness of the Q-matrix is often difficult to establish, especially, for tests with a large number of items involving multiple skills. As an additional complication, completeness is not an intrinsic property of the Q-matrix, but can only be assessed in reference to a specific diagnostic classification model (DCM) supposed to underlie the data—that is, the Q-matrix of a given test can be complete for one model but incomplete for another. For different types of DCMs, conditions of Q-completeness are studied. Rules are derived to determine the completeness of a given Q-matrix.