Alternative mathematical models for scoring and decision making with criterion referenced tests are described, especially as they concern appropriate test length and methods of establishing statistically valid cutting scores. Several of these approaches are reviewed and compared on formal-analytic and empirical grounds: (1) Block's approach to…

During a three-year project (1977-1980) on computerized adaptive achievement testing, item characteristic curve theory (ICC) and adaptive testing strategies designed almost exclusively for ability testing were applied to achievement testing. Adaptive techniques substantially reduced test length without reducing quality, when applied to three…