In the US, the power to manage elections is still very much held at the state level. There have been federal inroads (Voting Rights Act) but historically the states have held full control over voting procedures. Most positions being voted on are state-level or lower (the only federal ones are President/VP, Senate, House) and all initiatives being voted on are state-level or lower. Also, the Constitution specifically gives power over choosing of Electors to the states. (Article II Section 1 "Each State shall appoint, in such Manner as the Legislature thereof may direct, a Number of Electors") so each state does things differently.