This article combines statistical and applied research perspective showing problems that might arise when measurement error in multilevel compositional effects analysis is ignored. This article focuses on data where independent variables are constructed measures. Simulation studies are conducted evaluating methods that could overcome the…

Demonstrates that a high degree of fairness may be achieved in international comparative research on school achievement, using the Third International Mathematics and Science Study (TIMSS) as an example and employing the methods of advanced pedagogical-psychological diagnosis. Includes references. (CMK)