Does the Bible support the concept of male spiritual headship?

What I mean by this is a little beyond "Wives submit to your husbands." In Joshua 7:22-25 Joshua stones and burns the entire family of Achen, including his children, after he sins by keeping back some of the loot from Jericho when God commanded it all be destroyed. Was Joshua in sin because he did this or was this a right response? God certainly blessed them right after this with victory over Ai. Also Exodus 20:5-6 (NJKV) states: >...For I, the Lord your God, am a jealous God, visiting the iniquity of the fathers upon the children to the third and fourth generations of those who hate Me, but showing mercy to thousands, to those who love Me and keep My commandments. On a more practical note according to a study reported in Baptist Press : > [If] a child is the first person in a household to become a Christian, there is a 3.5 percent probability everyone else in the household will follow[.] > > If the mother is the first to become a Christian, there is a 17 percent probability everyone else in the household will follow. > > But if the father is first, there is a 93 percent probability everyone else in the household will follow. Does this point to a leadership of a father that goes beyond simple moral or financial and moves into the distinctively spiritual?