Directions

1. Heat 2 Tbs. oil over low heat in a 12-inch non-stick skillet (so potatoes don't stick). While skillet heats, prepare onion and kielbasa sausage. A few minutes before cooking, increase heat to medium-high. When oil starts to send up wisps of smoke, add onion and kielbasa sausage; cook, stirring often, until golden brown, 7 to 8 minutes. Meanwhile, dice potatoes and carrots, and toss with remaining oil. Transfer onion and kielbasa mixture to a bowl and reserve.
2. Add potato and carrot mixture to empty skillet; cook, stirring only occasionally so they form a golden-brown crust, about 10 minutes. As potatos cook, mix ketchup, mustard, caraway seeds, parsley and 2 Tbs. of water. (Recipe can be prepared to this point up to 2 hours ahead. Spread hot potatos on a large lipped cookie sheet; cover when cool. Return skillet to medium-high; add potatos and re-crisp.)
3. Return reserved kielbasa mixture to skillet; stir in ketchup mixture, then season with salt and pepper. Cook, stirring frequently, until hash has nicely browned, about 5 minutes longer.