Okay...now I am a tool and can't find that study...but here is my personal account of reviewers helping downloads for my old application.
We got written up in Thrillist boston, Phandroid, Androinica, Droid-Life, TalkAndroid, and Gizmodo. From all of these review sites we reached roughly ~18k downloads in a week (our product is a fantasy football app).
While the majority of those downloads came from Gizmodo, we definitely would not have been able to get there without being written up on all the other blogs.
From those 18k downloads, we averaged about 11k active through the first 3 weeks of the application and it steadily declined after that (assuming that they were bored of their fantasy league or moved on to another app).
The thought behind the reviewers is if its a source that is trustworthy or has built a following, their post/review is more meaningful than an ad. These reviewers are an AMAZING source of word of mouth for app developers while an ad is simply a pay to click.
If you want to see a chart of our downloads over time, I'd be more than willing to share to show you the value of these relationships as opposed to a one and done ad campaign :).