Correct English: it is how are you doing. But, the native English speakers always raise or lower their voice, it may change the meaning from positive to negative and vise versa. For example: it is very very funny, it means very funny ( possitive). But when it say in the tone as: it is, very very funny ah! it means, it is not funny at all (negative).
We also have the sound elimination, " How are you doing" it is pronounce as " How're you doing", it sounds like how, but it is how're. Thus, how you doing is wrong. The native Americans always speak with eliminated sounds.
I wanna banana ( I want a banana)
Peanut butter, pronounce: peanut budda (tt=d sound)