Full boil offers better hop utilization than a partial brew. Downside is that it requires a kettle able to hold 6+ gallons of wort to boil in.
A partial brew requires a higher amount of hops to get the same level of IBUs into your beer. Upside is that you don't need more than a 4 or 5 gallon pot to boil in, since you are adding clean water after the boil to get to your target Final Gravity.
Additionally, All Grain versus Extract can have an impact on your brewing as well. Not all Extracts are created equal and most people do not get a low Final Gravity using LME/DME (lowest I got using LME/DME was about 1.018, All Grain I've gotten as low as 1.007).
YMMV in any case.
That which does not kill us makes us stronger. - Friedrich Nietzsche
Primary: American Honey Wheat
Secondary: Apple Pie Cider
Secondary: Dark Cherry Sour '14
Secondary: Pom-Cran Sour '14
Keg #1: Signalman's IIPA
Keg #2: Tangerine Imperial Irish Red
Keg #3: Engineer's Sweet Stout
Keg #4: Gentleman's Chocolate Vanilla Imperial Porter
Bottled: Pom-Cran Sour '13, Orange Hefeweizen
On-Deck: Pullman Irish Blonde