Aggressiveness and Running
Aggressiveness is a trait common to all chickens; however, hens are no stranger to aggression. Hens come in two types -- some are subordinate, while others are aggressive. Aggressive hens assert their dominance, especially targeting the subordinate hens. A common technique to target the more obedient hens -- that are also often smaller -- is to run at them.
Pecking
Chickens have several pecking behaviors. All adults peck towards the ground in an attempt to gather food; however, all adults peck in dominance displays as well. Hens -- like roosters -- are especially prone to pecking. More assertive hens will commonly peck subordinate hens. The reason is related to the hierarchy within the group of chickens, where certain hens have a higher role within the group and must keep subordinates from challenging their role.
Cackling
Hens commonly "cackle" after laying an egg. The dominance of a hen determines her type of cackle. The more assertive and dominant the hen, the louder the cackle is. Subordinate hens will attempt to make soft sounds. Currently, there is no understanding in regard to why hens cackle, other than as a display behavior. After the young are born, hens may also appear to be aggressive towards their young, although this is usually part of their new motherhood role -- dictating to the chicks what to do and what not to do.
Aggression Toward Males
Some hens are occasionally aggressive and dominant toward roosters. This usually occurs in mating; if a hen isn't receptive to the male attempting to mate, she may become aggressive toward him. This most commonly occurs when the male is young and the female is an older and dominant hen.