How do the required managerial skills differ in organizational hierarchy?

Organisations have usually three levels. Top management is connected with planning & strategy making for overall organisations & monitoring functional managers & their functions through control reports. Top management should know how to manage managers.
Middle level management need to know how to manage their functions & use their functional skills & managerial skills to unify their activities to overall goal achievement of the organisations.
Lower echelon of management should know how to use job .operational skills to manage their job/operations.Managerial skills at top level would be
Managing the managers & at middle level managing the functional area & lower level managing the job