How do the required managerial skills differ in organizational hierarchy?

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.