Mixed-format tests containing both multiple-choice and constructed-response items are widely used on educational tests. Such tests combine the broad content coverage and efficient scoring of multiple-choice items with the assessment of higher-order thinking skills thought to be provided by constructed-response items. However, the combination of…

A desirable goal would be to develop a methodology for scoring essays so that the final grades are less affected by when or by whom each essay was read. It seems sensible to derive such grades by somehow adjusting the ratings originally given by each reader. This essay describes a solution that relies on statistical adjustment, using the context…

This report builds on and extends existent research on population invariance to new tests and issues. The authors lay the foundation for a deeper understanding of the use of population invariance measures in a wide variety of practical contexts. The invariance of linear, equipercentile and IRT equating methods are examined using data from five…

This paper discusses the assumptions required by the item response theory (IRT) true-score equating method (with Stocking & Lord, 1983; scaling approach), which is commonly used in the nonequivalent groups with an anchor data-collection design. More precisely, this paper investigates the assumptions made at each step by the IRT approach to…