Will Site Ranking Increase with Higher PA and DA?

During the Episode 52nd of our weekly¬†Hump Day Hangouts, someone has asked about the connection between page authority (PA) and domain authority (DA) to a site’s ranking in search engine results page.

The exact question that is being asked during the hangout was:

My site is currently at a DA of 6 and PA 1 for all my pages, but I have been trying some domain authority stacking stuff and DA boosting, slip streaming SAPE links through 2x 301, building links, etc but I am not seeing a whole lot of movement after I did my first PBN link. I guess what I am asking is after MOZ updates PA & DA and google sees what should be a much higher DA & PA for my site will my pages dramatically increase in ranking as right now they are all stuck on page 3 -7 with DA6 PA1?