Kids can trigger a dogs prey drive by running away from the dog while they are screaming and squealing and making a lot of noise. This action on the part of the kids can trigger the dogs to chase and bite. This action has nothing to do with dominance in the dog. Small children should be monitored very closely around all dogs. It does not matter what breed.
Eye contact is also a means of showing dominance.
When you correct your dog and have eye contact with him, always maintain that eye contact until he looks away. It is the submissive animal that instinctively looks away first. So don't get in a pissing contest with your dominant dog and look away from him before he averts his eyes. On the other hand, if a very aggressive dog that you feel may attack you confronts you, do not give the animal direct eye contact. He will interpret that stair as a challenge.