تقصي دقة تقدير النموذج اللوجستي ثلاثي المعلمة لمعالم الفقرة و قدرة الأفراد في ضوء تغير طول الاختيار و حجم العينة : دراسة محاكاة

Abstract EN

This study aimed at detecting the accuracy o f estimation of a threeparameter logistic model of item parameter and idividuals’ ability in light of test length and sample size.

To achieve this goal fifty replicated binary responses were generated using WTNGEN program on six test lengths (10, 25 ,50, 75, 100, 300) and six sample sizes (100, 250, 500, 1000, 2000,4000).The generated data were analyzed for each cell resulting from the intersection of sample size and test length by Bilog- Mg3 programs to estimate the item parameter, the abilities of persons, and the computed values ofRMSE and BIASE..

The results revealed significant differences due to sample size and test length and their interaction in the accuracy estimates of item parameter and ability o f persons.

The results also revealed that the mean values of RAISE o f item parameter and ability of idividuals decreased as the test length exceeded 50 items and the sample size exceeded 2000 subjects.

Moreover, the correlation coefficients between estimated and true parameters supported this result, the correlation was almost complete.

The value of BIAS was ver\' close to zero