Educational effectiveness research often appeals to "value-added models (VAM)" to gauge the impact of schooling on student learning net of the effect of student background variables. A huge amount of cross-sectional studies do not, however, meet VAM's requirement for longitudinal data. "Contextualised attainment models (CAM)" measure the influence of schools on student outcomes controlling for family background characteristics in cross-sectional studies. It is argued that the latter are adequate substitutes for student prior attainment. Drawing on data from a 3-point longitudinal study in the city of Berlin, Germany (n = 3,074), reading and mathematics achievement of primary students are investigated to assess effectiveness measures of schools. Estimates are compared for a 3-level growth curve analysis (VAM), a hierarchical linear model controlling for background characteristics (CAM), and one additionally controlling for prior achievement scores (prior attainment model). The article contributes to the enhancement of a feedback culture for cross-sectional study results. (Contains 5 tables, 5 figures and 6 notes.)