Household baptism was very common in the early church, as is evident in scripture. Faith is required, but whose? Only the person themselves, or can a parent have their child be baptized in account of the faith they have? "And as for me and my house, we will serve the Lord". "Believe in the Lord Jesus Christ and you shall be saved, you and your household." "He was baptized, and all his household". I can't recall an account where those of age, or those who became believers in a household were baptized...The scripture talks about the entire household being baptized.
A clarification though - those who are baptized, even if baptized as an infant, must still choose to follow God. Faith is still required, on a personal level as well.