Cerebellar ataxias are a large family of movement disorders that generally follow a stroke. The clinical picture is very complicated and normal activities become difficult for ataxic patients. For instance, dynamic ataxia involves both walk and upper-limbs movement, thus affecting the possibility to fulfill daily life tasks. Rehabilitation treatments and strategies for cerebellar ataxia are nowadays controversial, since different opinions on the several approaches are spread among the clinical community. The purpose of the present work is not to shed some light on such disagreements. Indeed, here a solution for delivering rehabilitation activities in the form of videogame is presented. Data related to patient's performance are collected and analyzed in order to provide the clinical staff with objective indicators that properly describe the activity. Such information can also be used to discuss the effectiveness and the incidence of some strategy adopted for fulfilling some task. The experimental phase is conducted on two case-studies with regards to the upper-limb rehabilitation. The adoption of the strategy of weighting the limb when performing the movement is discussed. The indicators computed in both sessions with and without strategy are compared, also referring to the practice of some healthy subjects. The present work introduces the preliminary phase of a wider study and foretells its future development conducted on a larger population.