The Attribute Mastery Probability Cognitive Diagnostic Model
Mao Xiuzhe · Journal of Sichuan Normal University · 2014
The research of cognitive diagnosis models mainly contains the following three subjects: the construction of diagnosis models,the assessment of the performance of cognitive models and the report of the diagnose results. The present study views students' knowledge level as multi-dimensional continuous vectors and supposes the application of attributes are independent with each other. Then the attribute mastery probability model is put forward on the basis of the above suppositions. Markov chain Monte Carlo algorithms for parameter estimation are given for estimating model parameters. The results of simulation study demonstrated that the parameters could be accurately and stably estimated. Further,an analysis of fraction subtraction response data is provided. The results of students' attribute mastery levels obtained by using the proposed model are in consistence with those produced by the rule space method which indicates the reliability and validity of the attribute mastery probability model.