أثر طريقة تقدير القدرة وحجم العينة في نسب أنماط الاستجابة غير المطابقة للنموذج و خصائص التوزيعات لمؤشرات مطابقة الفرد على الاختبارات مختلطة الشكل

Abstract EN

This study aimed to detect the effect of the ability estimation method and sample size on the distributions characteristics of person-fit indices and and the percentages of the misfitting response patterns detected by these two indices on mixed-form tests.

To achieve the purpose of the study, the researchers choose random samples (1000, 2000, 5000) of eighth grade students who responded to the mathematics items in the first booklet of the international TIMSS test 2015.

The researchers also used three methods for estimating student’s ability (MAP, WLE, MLE).

The results of the study showed that the percentages of misfitting response patterns for the two indices increase and the distribution of the two indices is close to a normal distribution when using the WLE method for ability estimation in the different study samples.

The results of the study also showed that the percentages of misfitting response patterns for the two indices increase and the distribution of the two indices is close to a normal distribution by increasing the sample size in different ability estimation methods.

The percentages of misfitting patterns detected by the index was higher than those detected by the index, and that the distribution of the index was closer to the normal distribution than the index in different methods for estimating ability and in all samples.

In light of the findings of the study, the researchers recommended using the index and the WLE method for ability estimation to detect misfitting response patterns in mixed-format tests.