The great majority of studies on the effect of school quality on academic outcomes do not take account of changes in student choices concerning effort if school quality, e.g. class size, changes. We show that empirical estimates of the "total" effect of changes in school quality could be quite...

This paper applies revealed preference theory to the nonparametric statistical analysis of consumer demand. Knowledge of expansion paths is shown to improve the power of nonparametric tests of revealed preference. The tightest bounds on indifference surfaces and welfare measures are derived...