Although this is an old question being revived, I'm here to clear up a bit of things.
The studios of anime are usually just hired staff. They don't run or own series. Unless its an original project E.G: Trigger's "Kill La Kill".
There are things called production committees composed of lead producers & company members that are filling in spots for companies such as: Kodansha, Kyoani and etc.
A Producer comes a long to get an animation adaption of a series. Usually places like SQUARE Enix, a large multi-media company, have a production office where they find series associated with themselves to be animated. Such as popular manga, being printed by SQUARE ENIX. Which then they take to financiers, people with resources, producers & studios.
The heads & most important are those choosing to make the series continue or not, whether for financial reasons or just no-longer wanting to work on the project.
For example "SNAFU 2" was animated by a totally new company. That decision was done by the Production Committee. Not the animation studio. Though, remember animation studios can be part of the production committee either on top or usually the bottom. Mostly they are on top due to original productions, they own. Changes in the studio can happen due to large schedules, or disliking their work on the first project.
However, a director or art director, may be associated with the animation studio. Which will lead in the anime`s directing overall or just an art direction such as the production studio: SHAFT. SHAFT, though Aniplex is the head-producer of "Nisekoi" a few producers & Chief director are from SHAFT. Because, Aniplex adores their style.
This weaves back & forth. A Director maybe from one studio but still direct for other series, with different studios.
Just check all the cast & staff. Or at the end of an anime's opening you may see who is producing the series. Though, it is undisclosed many times.