This study investigates the feedback effects of teaching quality assessment. Previous literature looked separately at the evolution of individual and aggregate scores to understand whether instructors and university performance depends on its past evaluation. I propose a new quantitative-based methodology, combining statistical distributions and transition probabilities matrices, to take into account the dynamics of teaching quality over time both at the macro and the micro level. Using a three-year longitudinal panel from an Italian university, it is shown that evaluation exercises do not impact future teaching performance at either the university level or the individual level.