You may also have to think about what your team members want and need. This is where Path-Goal Theory – published in 1971 – is useful.
For example, highly-capable people, who are assigned to a complex task, will need a different leadership approach from people with low ability, who are assigned to an ambiguous task. (The former will want a participative approach, while the latter need to be told what to do.)
With Path-Goal Theory, you can identify the best leadership approach to use, based on your people's needs, the task that they're doing, and the environment that they're working in.