Multiple matrix designs are commonly used in large-scale assessments to distribute test items to students. These designs comprise several booklets, each containing a subset of the complete item pool. Besides reducing the test burden of individual students, using various booklets allows aligning the difficulty of the presented items to the assumed…

The National Assessment of Educational Progress (NAEP) has completed two assessments of mathematics, the first conducted in 1972-73 and the second during 1977-78. Each assessment surveyed the mathematics achievement of American 9-, 13-, and 17-year-olds, using a deeply stratified, multi-stage probability sample design. This report documents…

In 1982, the Educational Testing Service (ETS) proposed to implement a new, complex design for the National Assessment of Educational Progress (NAEP). The major features of this design are described in "A New Design for a New Era" (Messick, Beaton, and Lord, 1983). The purpose of this document is to describe the actual implementation of…