Not exactly. What 0.3 means is that for every 1 run change, there's a 30% chance that catcher framing had something to do with that, and 70% chance that it was coincidence that better framing led to a better runs allowed number. Also, realize that catching impacts the game much differently than center field defense or single hitter OBP because you have one player who receives every pitch of the game for a team, typically. If Mauer hit every single time, you'd be able to see how his OBP translated to higher runs scored. The best way to view causality in hitting statistics is through team statistics, not individual, because an individual's hitting has such a tiny bearing on the overall outcome of the game. In a perfectly pitched game against the Twins, for instance, Mauer would come to the plate 3 times. He's only responsible for 11% of the team's plate appearances that day, so 89% of the Twins offense on that day was decided by someone other than Mauer, and the percentage gets smaller the longer the game goes. With catcher framing, it's not true that everything else only accounts for 70% of runs allowed. The statistic is saying that, for example, the average major league team with average defense and an average catch framer will allow 300 runs in a full season. A team could have allowed 290 runs, and they had a good pitch framer at catcher, but the issue is that that framing could be because they went out and signed every Brad Radke and Greg Maddux type in the game, and no one was missing a spot at all, so runs went down because there weren't mistake pitches. That would increase the framing scores because umpires in general like pitches that hit exactly where the catcher put the glove, even if it's a bit off of the plate. What that number is saying is that for a runs change, there's a 30% chance that pitch framing contributed to it. There could still be 100% chance that a slick fielding shortstop contributed to it as well as that 30% chance of pitch framing contributing. They're looking at each thing as independent, so having good pitch framing and average everything else has a 30% chance of leading to better run prevention. I'd be curious to find out what having everything else average, but having high-end defense from shortstop would correlate to in run prevention, because I have a good feeling it's well over 0.5.