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在项目反应理论下的题库建设时,进行纸笔测验测试时需要多少被试量、题量,试题的参数估计能够达到较为精确估计?本文使用蒙特卡洛模拟方法模拟测验情境,对此问题进行探讨。分析题量的变化和被试量的变化对a、b参数估计的模拟返真性能的影响。1)从被试量角度来看,在两级、多级记分试题模拟测验情境下,随着被试量逐渐增大,项目参数估计值模拟返真指标均方误差逐渐减小。2)从题量角度来看,在两级记分试题模拟情境下,均方误差曲线在题量为25题左右时有一个拐点,即当题量小于25题时,随着题量增加时RMSE减小幅度较大,而当题量大于25题时,这时再增加题量,RMSE减小幅度很小。在多级记分试题模拟情境下,均方误差曲线在题量为15题左右时有一个拐点,即当题量小于15题时,随着题量增加, RMSE逐渐减小,当题量大于15题时,随着题量增加,RMSE逐渐增大。
In the construction of item bank under the item reaction theory, how many test items, questions and test questions can be estimated accurately when paper pen test is used? This paper uses Monte Carlo simulation method to simulate the test situation, Discussion. Analyze the influence of the change of the question quantity and the change of the test quantity on the simulation performance of the a, b parameter estimation. 1) From the point of view of test, under the scenario of two-level and multi-level scoring test, as the amount of test increases, the mean square error of simulation parameters of project parameter estimation decreases gradually. 2) From the point of view, under the two-level scoring questions simulation scenario, the mean square error curve has an inflection point when there are about 25 questions, that is, when the questions are less than 25 questions, as the questions increase, the RMSE Reduce the larger, and when the question is greater than 25 questions, then add questions, RMSE decrease is small. In the case of multi-level scoring test, the mean square error curve has an inflection point when the number of questions is about 15, that is, when the number of questions is less than 15, the RMSE decreases as the number of questions increases. When the number of questions is more than 15 Question time, as the number of questions increased, RMSE gradually increased.