Basically, there are 2 types of albinos, 1 is call the red eyed white, which consists of both white face gene and lutino gene. Both genes show themselves on the same bird, you will get a red eye white.

Lutino gene removes the grey pigments of the bird, therefore you get a bird without grey, only yellow and red eyes, the lutino.

White face gene whereas removes the yellow/red pigments of the bird, therefore you get a bird without any yellow and red on the body, the white face.

True albinos occur when both parents of the clutch carry albino genes(recessive). The parents may appear normal as their albino don't show when they are only carriers. However, when both of these birds mate, 2 of the albino gene will be inherited by the young. This will will result in a true albino.