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多级评分认知诊断题组模型
周文杰1 童望望1 郭磊1, 2 **
1. 西南大学心理学部, 重庆 400715;2. 中国基础教育质量监测协同创新中心西南大学分中心, 重庆 400715
Polytomous Cognitive Diagnosis Testlet Model
ZHOU Wen-jie1 TONG Wang-wang1 GUO Lei1, 2
1. Faculty of Psychology, Southwest University, Chongqing 400715, China; 2. Southwest University Branch, Collaborative Innovation Center of Assessment toward Basic Education Quality, Chongqing 400715, China
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研究要点
1. 提出了能够同时处理具有题组结构和多级评分数据的认知诊断模型。
2. 相较于传统模型,新模型的参数估计精度更高,且生态效度更好。
3. 使用不带题组结构的诊断模型可能使参数估计精度下降。
摘要 具有多级评分和题组结构的测验形式被广泛应用,本文提出多级评分认知诊断题组模型(PCDTM),能处理带题组的多级评分测验数据。研究表明:(1)PCDTM模型合理有效,在各条件中均能得到良好的参数估计结果;(2)随着样本量、题目质量、题目数量增加,PCDTM的参数估计精度提高;(3)忽视题组效应,被试判准率和题目参数精度降低,甚至发生混乱;(4) PCDTM对实证数据的拟合更优,生态效果更好。建议使用该模型时,样本量不低于1000,题目数量不少于20题。
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关键词 认知诊断 多维题组 多级评分 GPCDM MCMC    
Abstract:This research proposed the Polytomous Cognitive Diagnosis Testlet Model (PCDTM), which is suitable for polytomous response assessment with a multidimensional testlet effects structure. To investigate the performance of the PCDTM, we presented a simulation and an empirical study. Results indicated that: (1)The PCDTM model is reasonable and effective, and accurate parameter estimation results can be obtained regardless of whether the answer data contain testlet effects or not; (2) as the sample size, item quality, and the number of item increase, the accuracy of estimation of the examinees' parameters, item parameters, and testlet parameters would be improved; (3) ignoring testlet effects will decrease the item parameter estimation accuracy and the examinees' accuracy rate, and even the estimation results may be confused; (4) the results of the empirical study of the 2012 large-scale test in mathematics also show that the PCDTM model fits better and has accurate parameter estimation, which is more suitable for processing testlet data in actual data. We suggested that when using this model, the sample size should not be less than 1000, and the test length should not be less than 20 items.
Key wordscognitive diagnosis,    multidimensional testlet,    polytomous,    GPCDM, MCMC
     出版日期: 2022-12-31
引用本文:   
周文杰,童望望,郭磊. 多级评分认知诊断题组模型[J]. 应用心理学, 2023, 29(5): 470-479.
ZHOU Wen-jie TONG Wang-wang GUO Lei. Polytomous Cognitive Diagnosis Testlet Model. 应用心理学, 2023, 29(5): 470-479.
链接本文:  
http://www.appliedpsy.cn/CN/Y2023/V29/I5/470
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