The purpose of this study is to compare the change of global cognitive performance after 52 weeks of intervention among participants with nonvalvular atrial fibrillation (NVAF) receiving rivaroxaban versus a vitamin K antagonist (warfarin). The secondary objectives are to compare, among participants with NVFA receiving rivaroxaban versus warfarin : * the changes of global cognitive performance after 26 weeks of intervention * the changes of executive functions after 26 and 52 weeks of intervention * the changes of episodic memory after 26 and 52 weeks of intervention * the changes of independence and autonomy after 26 and 52 weeks of intervention
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Change in global cognitive performance
Timeframe: This outcome is assessed at baseline, 26 and 52 weeks after inclusion.