Christian:
Person reliability and separation increase when there are more items, and also when there is a wider person ability range.
Item reliability and separation increase when there are more persons, and also when there is a wider item difficulty range.
Christian, why do you need a higher item separation? An item Separation of 2.5 indicates that, statistically, we can distinguish high difficulty items from middle difficulty items from low difficulty items. This is usually enough for most measurement purposes and also for confirming the construct validity (= item difficulty hierarchy) of the items.
Similarly, a person Separation of 2.5 indicates that, statistically, we can distinguish high ability persons from middle ability persons from low ability persons. This is usually enough for most measurement purposes and also for confirming the predictive validity (= person ability hierarchy) of the persons. |