A Study on SPRT Termination Criteria´s Application in Computer Mastery Test Based on the Graded Response Model

Sequential Probability Ratio Test (SPRT) is a termination criteria commonly used in Computerized Mastery Test (CMT). Although the SPRT has been applied into CMT based on dichotomous IRT Models widely, few study has been done on the Graded Response Model (GRM). SPRT applied into CMT based on GRM is implemented with Monte Carlo computer simulation method. The results of the simulation show that the enlarging of the IR size will improve the efficiency of CMT; the accuracy of classification will increase with the enlarging of IR first, and then will decrease with the enlarging of IR when IR reaches to a value. The efficiency of CMT is higher with the larger value of α and β, but at this time, the accuracy of classification is different with the difference of the cutscores; finally, the results show that SPRT has good stability.