A test of mental arithmetic skills was developed and normed for children in grades one to six. Statistical techniques were used to predict the probability correct for each item and to rank order the items. Students in a given grade took only one level of the test and inferences were made of their performance on those tests which they did not take.…

As an alternative to a classical test theory basis for criterion-referenced test construction, it is proposed that a strict item-sampling model be used. The computer's role in such a model is outlined. The assumptions of the model are carefully defined and its properties reviewed. The relationship between mastery criteria and such sampling plans…