While the dough is chilling, peel, core, and slice the apples.
In a large bowl combine the sugars, nutmeg, cinnamon, and cardamom. Add the apples and toss to coat evenly.
Assembly and baking
Preheat the oven to 400°F or gas mark 6.
Roll one of the balls of dough large enough to fit the pie pan with about ¾ of an inch hanging over the side. Be sure to make sure that the dough is not stretched when placing it in the pan.
Remove the apples and place in another bowl and toss them in the cornstarch. Pour the apples into the pie pan and pack tightly.
Roll the other ball of dough large enough to cover the top with a ¾ inch hanging over the side. Pinch closed and trim the excess dough. Using a sharp knife cut at least three holes near the top. If making a lattice use the pizza cutter to slice the the top layer of dough into strips. Alternating the strip directions create a lattice design.
Bake for 75 minutes. If the crust starts browning early loosely cover the top of the pie with tented foil. This will slow down the browning.