A Cock bird has two sex chromosones (ZZ) and a hen one (Z) chromosone and one (W) chromosone (ZW).
A colour like yellow back is called sex linked and acts on the Z chromosone only and not the W chromosone.
So if a hen has the yellow colour on it's Z chromosone then it will be visually Yellow back. (Hens can not be DF)
If a cock only has the yellow colour on one of his Z chromosones then he is SF Single Factor, if he has yellow on both his Z chromosones then he is DF Double Factor.
Purple breasted Cock Gouldians SF Yellow will have a dilute green back and a DF Yellow will have a complety yellow back.
White breasted Cock Gouldians SF Yellow will have a yellow back with a blue ring around the head, a DF will have a more intense yellow back and a white ring around the head.
Have a play around with this gentic forcaster it might help:
http://www.ikhom.com/phpBB3/birds_manua ... cies_id=29" onclick="window.open(this.href);return false;