变长非参数认知诊断自适应测验终止规则

该文借鉴传统变长参数CD-CAT的终止规则,结合DWIR方法的指标提出2种非参数变长CD-CAT的终止规则:最大距离比例终止规则(MDRM)和距离比例双重标准终止规则(DRDSM).模拟研究发现:1)2种非参数终止规则MDRM和DRDSM适用于0-1计分和混合计分情境下的非参数CD-CAT测验; 2)当研究目的在于获得更加准确分类结果时,可在 MDRM 规则下的增大d_1st值,或者在DRDSM规则下增大d_1st值和减小d_2nd值; 反之,可以减小d_1st值或者增大d_2nd值; 3)当测验终止的条件愈发严格时,即当d_1st和P_1st不断接近1或者d_2nd和P_2nd不断接近0时,采用MDRM或DRDSM作为测验终止规则的测验结果和采用后验概率作为终止规则的测验结果逐渐接近.

The Variable Length Nonparametric Cognitive Diagnostic Adaptive Test Termination Rule

Firstly,referred to the termination rules of traditional variable length CD-CAT summarized before,the indicators in DWIR method are combined to propose two non-parametric termination rules of variable length CD-CAT that are maximum distance ratio method(MDRM)and distance ratio double standard method(DRDSM).The results showed that two nonparametric termination rules,MDRM and DRDSM,are suitable for nonparametric CD-CAT test in 0-1 scoring and multilevel scoring situations.When the purpose of the study is to obtain as accurate a classification result as possible,the d_1st value under the MDRM rule can be increased,or the d_1st value can be increased and d_2nd value can be decreased under the DRDSM rule.On the contrary,it can be appropriately reduced.The conditions for test termination become more and more stringent,that is,d_1st and P_1st keep approaching 1 or d_2nd and P_2nd keep approaching 0,and the results that MDRM and DRDSM are used as test termination rules are gradually closer to the results that posterior probability is used as the same termination rule.