Hole conduction vs electron conduction

[aaaa202]

So recently I took a blow to my understanding of how hole conduction works. Like many others I had the idea that the hole i just an absence of an electron and when it moves the collection of electrons move opposite direction of it like in the analogy where the electron hole is an empty seat in an otherwise filled row of seats in an auditorium.
This simple picture simply cannot be right because it would not account for the positive hall coefficient measured for some metals. Rather ti account for the positive hall coefficient picture must be to view the hole as a transport of positive particles in the same direction as the real negative current. But already saying that seems weird. How do you explain hole conduction?
I mean I hope you can appreaciate my argument that you can't simply say that the current flow is opposite to that of the hole. It all boils down to the fact that the top valence bond electrons have a negative effective mass. So their response to the field is to move opposite it. That led me to the auditorium analogy where I thought that the current actually moves opposite for hole and electron conduction. But that would also be too weird since the effective mass is something that only makes sense to talk about inside the crystal and of course this would not amount to actually measuring a current in the circuit opposite to that of the electric field.

 

[BigJDubs]

So the answer must be that the holes are actually carriers of positive current and they have a positive effective mass so their response to the field is the same direction as the electrons. This means that the hall coefficient will be positive for both electrons and holes, and it also explains why the current flows in the same direction for both electrons and holes.