It is not always centre dependency.
I am giving you few example
1. When modi was CM in Gujarat, there was Congress govt. in centre for most time . But he (developed) his state and people admit Gujarat is developed state.
2. UP and Bihar state govt usually support to the alliance in centre, still they are considered in backward. Even Bihar get some...
more... time special package.
3. In South states, they had a mix experience, still they are in developed condition.