In this case it seems the expression house of Joseph
is a metaphorical way of alluding to the solidarity of the northern tribes with one another. That the same expression occurs again in a summary way in verse Judges 1:35 indicates that it includes (as well as Ephraim and Manasseh) Zebulun, Asher, Naphtali, and Dan.
1
22 The house of Joseph also went up against Bethel, and the LORD was with them.