After seeing the Penguins usage chart post, I decided to take a look at some of the stats myself, and see if there was any other interesting ways of looking at them. Generally what I was attempting to do was find a way of comparing the impact players have on the ice and their overall effectiveness, since +/- doesn't really tell the whole tale. Keep in mind that all the stats are 5v5 data, so are not skewed by PP or PK time.
I took stats from behindthenet.ca for my analysis. All stats are through 2/7/2013 In each of the following bubble charts I used Corsi Relative QoC for the vertical axis. While I know there may be some problems with that stat, I think it still provides a good context for the general skill and ability level that skaters are competing with while on the ice. As well the size of each bubble is the number of minutes each player is on the ice per 60 minutes played, so larger bubble equals more minutes.
My first chart compares relative QoC with the goal differential for each player per 60 minutes while on the ice. I came up with that stat by simply subtracting GA/60 from GF/60. While this may seem a lot like +/- to people, it also takes into account their time on the ice. As well it is shown in context of quality of competition. Therefore a player with a bubble to the top right is not only playing against tough competition, but outscoring them as well, while a player in the bottom left is playing against easy competition and regularly being outscored while on the ice.
My second chart compares relative quality of competition with zone differential. Zone differential is simply the offensive zone finish percentage minus the offensive zone start percentage. I chose that stat because I thought it would give a good idea of which players were tilting the ice towards the opposing players nets and vice versa. Again, players in the top right corner are playing against tough competition while ending in the offensive zone more often than they started there, while players to the bottom left are playing against lesser competition, and ending in the defensive zone more often.
Take them for what they are, an attempt to mathematically quantify the performance and effectiveness of Penguins players. Any and all input is appreciated. Thanks!