No one is claiming that the ranges affect the order in which teams take penalties.PPO range for 2014-15 was 212 to 294, a swing of 82 penalties. This shows that when compiled over a season the results reflect(not affect) that certain teams may be prone to forcing the key first penalty of the game.
Likewise PPOA with a range of 186 to 308, a swing of 122 penalties reflects that certain teams may be more likely to take the key first penalty.
I don't understand how PPO or PPOA ranges show anything about which teams are more or less likely to take the first penalty in a game.
The issue then becomes why are certain teams prone to take first penalty, which if we give even the slightest credibility to the concept of a team being "owed a penalty becomes the triggering event - until you have the first penalty none of the two participating teams may be viewed as being "owed" a penalty.
At this point the various factors - fatigue, talent, mandatory,obstruction penalties, physical penalties, etc enter the picture.
The thing is, it isn't about one penalty, and it isn't just about the first penalty, it's about any time a team has been called for fewer penalties than the opposition. Even if you showed that those factors make a given team more prone to take the first penalty, I fail to see why they would suddenly be
less likely to take the second penalty.
Also the idea of first penalty of the game doesn't really match the overtime results.
Overtime produces the most dramatic results, with the second penalty call of the extra period about three times as likely to be whistled on the team that received the first power play.
Look at the penalties for the October 28,2014 game Montréal at Calgary, Canadiens were playing their 3rd game in 4 nights, having played the Rangers in Montréal on the 25th, in Edmonton on the 27th and in Calgary on the 28th. Calgary had a home game on the 25th against Washington so they were sitting at home waiting to play a tired team that had traveled across two time zones. Canadiens received the last 2nd period penalty plus three late(second half) third period penalties. Was Calgary somehow owed these penalties or was it fatigue? Six possibly seven of the Montreal penalties were fatigue type penalties - kneeing could go either way.
http://www.hockey-reference.com/boxscores/201410280CGY.html
And I could find you a ton of games where a tired team took early penalties and then the non-tired team got the "even up" call. It's not a 1 or 2 percent that's being shown, it's a massive variance between likelihood to take a penalty when "owed" versus when not being owed.
And either way, this game actually has the *opposite* thing happening where Calgary was owed several penalties at the end of the game put didn't get any. Presumably your explanation is that Montreal was tired and defending a lead and thus more likely to be in a position to take penalties, however if that holds in any kind of statistically significant number of games it would actually strengthen the relationship in the rest of the games.
Anyone who has watched a decent amount of hockey has, at some point, seen a team take a few penalties in a row and mentally (or verbally to someone watching with you) "well we all know who's going to get the next penalty" and it feels like often we're right.
The numbers show that, on a very statistically significant level, that's not just confirmation bias that we feel we're right more often than not.