I decided to look this up to dispute the idiot who said there was no correlation, because of course if you commit more penalties you are going to lose more. Nope, not according to these following studies:
http://www.compusportsmedia.com/main/articles.asp?StoryID=114
"The results showed that high school teams having more penalty yards in a game won two-thirds of those games (67%), while college teams with more penalties won approximately half the time (52%). But NFL teams won only 45% of the games in which they were assessed more penalty yards than their opponents."
http://www.footballstudyhall.com/2014/2/10/5397380/penalties-and-defensive-performance
This study is more specific to the NFL and to defensive performance. However, when you consider that PI is not a spot foul in college, the risk/reward probably makes it even smarter to err on the side to committing penalties.
All that said, I still have a hard time believing that you can't play just as aggressively between the whistles and avoid dead ball penalties.