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中文摘要：
规则空间模型（RSM）及属性层级方法（AHM）是有较大影响力的认知诊断模型.在RSM与AHM中不可缺少属性及属性层级关系,属性层级关系为属性间的先决关系所诱导.但是,先决关系只考虑了属性之间的关系,却忽略了属性集之间存在的联系.该研究以先决关系为切入点,实例证明先决关系及其诱导的属性层级关系具有局限性,基于属性集,提出更具一般性的蕴含关系,使先决关系为其特殊形式,为当前认知诊断理论研究提供了新的研究角度.
英文摘要：
The hierarchy plays a foundational role in the Attribute Hierarchy Method（ AHM）. Both the attributes and the hierarchy serve as the most important input variables to most cognitively diagnostic methods like Rule Space Model（ RSM） and AHM. Despite the relatively well-defined logical aspects,much work remains to be done because many issues and controversies are not resolved. For example,controversy exists over how to conceptualize and describe the relationship among attributes and attributes hierarchy. Tatsuoka defined the relationship between the attributes in pairs,but she did not explain how to maturate and analyze the relationship between a set of attributes and one single attribute. The main purpose of the paper is to highlight and assassinate the limitation in the prerequisite relationship among attributes. The existence of the limitation is illustrated by a different denominators problem. In order to overcome this limitation,it is proposed that a set of combinatory attributes can be prerequisite to a single attribute as well,posing as challenges for the previously defined prerequisite relation. The new implication relation could overcome the limitation of prerequisite relation and can be viewed as a more general relation that complements and encompasses the prerequisite relation. Meanwhile,the implication relation presents a new challenge to the traditional Q matrix theory and proposes the new subject to scholars in the cognitive assessment.
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