Tatsuoka Q矩阵理论的修正

K.K.Tatsuoka和她同事开发的规则空间模型(RSM)是一种在国内外有较大影响的认知诊断模型,但是Tatsuoka的RSM中Q矩阵理论存在缺陷和错误,这些失误使得RSM中用布尔描述函数(BDF)计算被试理想项目反应模式(IRP)的方法缺乏理论依据.这里揭示了Tatsuoka的Q矩阵理论的缺陷和错误并引进既不使用BDF又便于应用的计算IRP的方法;接着还介绍一种由可达阵计算简化Q阵的方法,该方法显示了可达阵在构造认知诊断测验的重要性.这些结果对丰富Q矩阵理论及正确使用RSM进行认知诊断有一定的意义.     

Tatsuoka 矩阵理论的修正

K .K.Tatsuoka和她同事开发的规则空间模型（RSM）是一种在国内外有较大影响的认知诊断模型,但是Tatsuoka的RSM中 矩阵理论存在缺陷和错误,这些失误使得RSM中用布尔描述函数（BDF）计算被试理想项目反应模式（IRP）的方法缺乏理论依据。这里揭示了Tatsuoka的 矩阵理论的缺陷和错误并引进既不使用BDF又便于应用的计算IRP的方法;接着还介绍一种由可达阵计算简化 阵的方法,该方法显示了可达阵在构造认知诊断测验的重要性。这些结果对丰富 矩阵理论及正确使用RSM进行认知诊断有一定的意义     

认知诊断测验蓝图的设计

通常认为由属性和项目关联阵（即Q矩阵）的列对应的项目充任认知诊断测验中行为样本,其实这种做法不能有效防止理想反应模式的误判。如在测验之前便可确定欲测之属性及层级关系,找到可达阵,可证明可达阵的各个列对应的项目类在认知诊断测验中必不可少,否则在理想反应模式下就一定有一些被试会被误判。本文给出充分必要Q矩阵的概念,以区别Tatsuoka(1995,2009) 讨论过的充分Q矩阵概念。充分必要Q矩阵才能有效指导测验的编制。     

基于属性层级结构的认知诊断测验的组卷

认知诊断测验组卷方法对提高被试属性掌握模式的判准率至关重要.Henson和Douglas的组卷方法(2005)得到的认知诊断测验判准率不高,没有考虑属性间的层级关系是重要原因.本文提出一种基于属性层级结构的认知诊断组卷方法:首先根据属性层级结构确定待选项目类集合,其次根据新建构的选题指标确定项目类,然后由属性区分被试的能力确定各项目类中题目的数量,并在测验Q阵中放入可达阵.模拟研究表明:新方法比H&D方法在判准率上有很大的提高;新的选题指标比H&D的指标大大缩短计算时间.     

基于可达阵的一种Q矩阵标定方法

Q矩阵标定是实施认知诊断评估的前提,已有Q矩阵修正方法并不太适合测验中已知属性向量的题目数较少的情形。根据拓展Q矩阵理论中可达阵R列与简化Q阵列存在布尔“或”关系,在一定认知假设下,率先提出可达阵R与简化Q阵的潜在反应列存在布尔“与”关系,并由此提出基于可达阵的Q矩阵标定方法。研究显示：在已知一个可达阵下,当可达阵项目的猜测或失误参数在.20以下且待标定项目的项目参数约在.30以下时,新方法所得Q矩阵元素返真率基本在.90以上,并且真实Q矩阵与估计Q矩阵下被试分类准确率差异很小;对于含5个属性的独立结构,新方法要求的随机样本的样本量较小;实证研究也印证了模拟研究的结论。新方法只需专家标定少量题目的Q矩阵,即已经标定的Q矩阵对应属性层级结构的可达阵。     

认知诊断分类中心的确定

期望反应模式是认知诊断分类的类中心,确定了诊断范围中属性及其层级关系后,类中心的数目由测验Q矩阵决定.类中心应该是完备的,即理论上有多少个知识状态就应该有多少个类中心,这涉及评分方式、Q矩阵设计、Q矩阵评价与修改、认知诊断测验如何实施等问题的讨论.重点给出多级评分认知诊断测验不同属性层级对应的完备Q矩阵设计的例子和罗列了Wang等人（2013）的Q矩阵修改的方法.     

认知诊断评价中测验结构的优化设计

Q矩阵是认知诊断评价的基础和核心要素, 它反映了测验的构念和内容设计, 直接影响着测验诊断分类的效果。本文采用Monte Carlo模拟, 研究了6种属性层级关系下, 不同的Q矩阵设计对于认知诊断效果的影响。用模式判准率的均值和标准差分别从分类准确性和稳定性的角度来评价诊断效果。实验结果表明：(1) 不同属性层级关系下, 分类准确性会随着测验长度的增加而提高, 但当测验长度增加到一定程度时, 会出现“天花板效应”; (2) Q矩阵中R*的个数(NR*)会影响测验的分类准确性及稳定性：NR*越大, 测验的分类稳定性越高, 当测验长度为属性个数的整数倍, 且NR*为测验长度相对属性个数的最大奇数倍时分类准确性最高; (3) Q矩阵中除R*以外的项目考察的属性个数会随着属性层级关系的不同对测验的分类准确性和稳定性产生不同的影响。根据实验结果, 本研究提出了进行诊断评价时Q矩阵优化设计的一些建议。     

多级评分聚类诊断法的影响因素

从测验和被试两个层面探讨了属性数目、属性层级关系、被试知识状态分布、属性层级误设和Q矩阵误设等因素对GRCDM的影响, 以进一步考察GRCDM的特性。研究发现：(1)GRCDM对属性数目无依赖, 随属性数目的增多判准率反而增高; (2)被试知识状态分布对GRCDM判准率高低无影响; (3)属性层级误设对GRCDM的影响与属性层级类型有关, 当属性层级为无结构型和发散型时, “属性层级关系错乱”的判准率降幅最大; (4)Q矩阵误设对GRCDM的影响因层级关系而异, 收敛型和发散型受影响较小, 无结构型和线型的判准率在属性既冗余又缺失时降幅最大。     

教育认知诊断测验与认知模型一致性的评估

构建正确的认知模型是成功进行认知诊断的关键之一,如果认知诊断测验不能完整准确地代表这个认知模型,这个测验的效度就存在问题.属性及其层级可以表示一个认知模型.在认知模型正确基础上,给出了一个计量公式以衡量认知诊断测验能够多大程度上代表认知模型;对于不止包含一个知识状态的等价类及其形成原因进行了分析,对Cui等人的属性层级相合性指标(HCI)提出修改建议,以更好地探查数据与专家给出的认知模型的一致性.     

探索语言水平测验的认知诊断改造和深度分析： 以广州市英语学业考试为例

本研究探索在通用认知诊断模型和相关检验方法的基础上对现有语言水平测验进行诊断改造和分析,分三步进行探索：1）探索对语言水平测试不同的属性和Q矩阵构建途径;2）探索对语言水平测试基于通用模型的建模和效度验证;3）探索对语言水平测试建模后续的深入分析。研究发现：属性分布和总分分布划分的学生水平一致性较高;学生对属性掌握存在性别差异且属性间的难易层级不同;属性模式分布进一步验证了语言属性间关联程度较高以及通用认知诊断模型和相关检验方法对语言测验的适用性。三步式的建模分析可作为对语言水平测验进行认知诊断改造的参考。     

Disentangling the Effects of Self Leader Perceptions and Ideal Leader Prototypes on Leader Judgments Using Loglinear Modeling With Latent Variables

This study clarifies the relationships among self leader perceptions, ideal leader prototypes, and leader judgments among college students using latent profile analysis (LPA) and log-linear modeling. LPA was used to identify subgroups of individuals with unique patterns of attributes for self and ideal leaders, providing a holistic view of leadership and how multiple attributes work together within individuals. LPA was also used to identify subgroups of individuals with unique patterns of judgments of leader effectiveness. After identification of subgroups (i.e., profiles), log-linear modeling was used to test 1 baseline model and 5 sets of hypothesized associations among self leader profiles, ideal leader profiles, and leader judgment profiles. Results suggest that self leader profiles are related to ideal leader profiles, which in turn are related to leader judgment profiles, but that there is no direct relation between self leader profiles and leader judgment profiles.     

几种常用非补偿型认知诊断模型的比较与选用：基于属性层级关系的考量

当前国际上开发了60多种认知诊断计量模型(Fu &; Li, 2007), 各种模型各具特点, 实际应用者应根据实际情况选用恰当的模型。本研究以属性层级关系为切入点, 采用Monte Carlo模拟的研究方法, 比较了属性层级关系正确及有误两种情况下, 当前国际上常用的五种认知诊断模型的性能, 以充分考察不同认知诊断模型对属性层级关系的依赖程度, 及属性层级关系的错误界定对各认知诊断模型诊断正确率的影响, 从而为实际运用者在认知诊断模型选用上提供借鉴和参考。     

Aggression in toddlers: associations with parenting and marital relations.

This study examined the relation among parenting factors, marital relations, and toddler aggression. A structured questionnaire was administered to both parents of 254 2-year-olds. The authors used correlation and hierarchical multiple regression analyses to assess the extent to which certain personality traits, drug use, parenting style, and marital conflicts were related to the toddlers' aggressive behavior. Results showed that the maternal child-rearing and parental aggression domains had a direct effect on toddler aggression. The domain of maternal child rearing also served as a mediator for the domains of marital relations, paternal child rearing, parental aggression, and parental drug use. The findings indicated that maternal child-rearing practices, personality attributes, and drug use were more important than paternal attributes in relation to toddler aggression. Implications for prevention among families at risk are discussed.     

Aggression in Toddlers: Associations With Parenting and Marital Relations

This study examined the relation among parenting factors, marital relations, and toddler aggression. A structured questionnaire was administered to both parents of 254 2-year-olds. The authors used correlation and hierarchical multiple regression analyses to assess the extent to which certain personality traits, drug use, parenting style, and marital conflicts were related to the toddlers' aggressive behavior. Results showed that the maternal child-rearing and parental aggression domains had a direct effect on toddler aggression. The domain of maternal child rearing also served as a mediator for the domains of marital relations, paternal child rearing, parental aggression, and parental drug use. The findings indicated that maternal child-rearing practices, personality attributes, and drug use were more important than paternal attributes in relation to toddler aggression. Implications for prevention among families at risk are discussed.     

Indclas: A three-way hierarchical classes model

A three-way three-mode extension of De Boeck and Rosenberg's (1988) two-way two-mode hierarchical classes model is presented for the analysis of individual differences in binary object × attribute arrays. In line with the two-way hierarchical classes model, the three-way extension represents both the association relation among the three modes and the set-theoretical relations among the elements of each model. An algorithm for fitting the model is presented and evaluated in a simulation study. The model is illustrated with data on psychiatric diagnosis. Finally, the relation between the model and extant models for three-way data is discussed.The research reported in this paper was partially supported by NATO (Grant CRG.921321 to Iven Van Mechelen and Seymour Rosenberg).     

不同认知结构被试的测验设计模式

正如不同的病症需要使用不同的医疗技术方法来诊断一样, 不同的认知结构也需要设计对应的测验模式来进行诊断, 从而保证测验具有高质量的诊断评估效果。但传统测验形式未考虑不同认知结构的针对性诊断测验需求, 导致“千人一卷”在测验效率上有所不足; 认知诊断计算机化自适应测验虽可针对不同认知结构的被试施测不同的项目, 然而支持自适应过程的题库却没有针对不同认知结构被试设计对应的项目, 导致题库使用效率较低。要解决上述问题的关键在于, 探索如何针对不同认知结构设计相对应的测验模式。本研究采用Monte Carlo模拟, 对六种属性层级关系下, 不同认知结构的测验设计模式进行探讨。实验结果表明(1)同一属性层级关系下, 不同认知结构的最佳测验设计模式不同; (2)依据不同认知结构的最佳测验设计模式构建的题库具有更高的使用效率。测验编制者可以根据实验结果针对不同认知结构优化对应的测验设计模式, 并用于指导题库建设。     

重参数化的多分属性诊断分类模型及其判准率影响因素

多分属性比传统的二分属性提供更多更详细的诊断反馈信息, 符合对知识技能的多水平要求, 具有较好的应用前景。本文首先介绍了多分属性和多分Q矩阵的概念; 之后重参数化了3个分别满足连接、分离和补偿缩合规则的多分属性诊断分类模型并研究了其判准率影响因素, 结果发现它们的判准率(1)均随多分属性数量的增加而降低, 建议实际使用中不宜高于5个; (2)均随多分属性的最高水平数增加而降低, 建议实际使用中不宜高于4水平; (3)均随多分属性间统计相关性增加而增加, 但影响不大; (4)受多分属性层级结构的影响较大; (4)受被试量影响不大; (5)均随题目数量增加而增加且影响较大。最后, 针对“多分属性与多级评分的关系”和“多分属性与二分属性之间的关系”这两个问题进行了讨论。以期为实证研究者提供相关的理论支持和使用建议。     

Heuristic cognitive diagnosis when the Q‐matrix is unknown

Cognitive diagnosis models of educational test performance rely on a binary Q‐matrix that specifies the associations between individual test items and the cognitive attributes (skills) required to answer those items correctly. Current methods for fitting cognitive diagnosis models to educational test data and assigning examinees to proficiency classes are based on parametric estimation methods such as expectation maximization (EM) and Markov chain Monte Carlo (MCMC) that frequently encounter difficulties in practical applications. In response to these difficulties, non‐parametric classification techniques (cluster analysis) have been proposed as heuristic alternatives to parametric procedures. These non‐parametric classification techniques first aggregate each examinee's test item scores into a profile of attribute sum scores, which then serve as the basis for clustering examinees into proficiency classes. Like the parametric procedures, the non‐parametric classification techniques require that the Q‐matrix underlying a given test be known. Unfortunately, in practice, the Q‐matrix for most tests is not known and must be estimated to specify the associations between items and attributes, risking a misspecified Q‐matrix that may then result in the incorrect classification of examinees. This paper demonstrates that clustering examinees into proficiency classes based on their item scores rather than on their attribute sum‐score profiles does not require knowledge of the Q‐matrix, and results in a more accurate classification of examinees.     

The role of structural consistency between categories and attributes in hierarchical category learning

This study investigated how consistency between categories and attributes determines attribute selection in hierarchical category learning. Participants learned six categories for which number and color were equally relevant attributes, followed by a transfer task, to test which attribute was used. Before that, half of them learned embedding higher-level categories for which numbers were likely to be used. Orthogonal to this factor, the hierarchical structure was made explicit for half of them by category labels. The results showed that participants used numbers in the prior learning, but that the use of numbers was inhibited in the subsequent six-category learning task. However, this inhibitory effect was reduced when the hierarchical structure was explicit. The pattern of results suggests that attribute selection is determined by structural consistency between categories and attributes, not by a prior use of an attribute.