Created a new statistic, Contribution to Position Offense (or CPO), which takes the average of a player’s % of Position Shots (%PSh, or their shots divided by the team’s shots from all forwards or defensemen) and % of Position Assists (%PA, or their assists divided by the team’s assists from all forwards or defensemen). I averaged to weigh the two contributions equally; defensemen in-particular will have players that primarily get assists, and either way I feel like that will be a sufficient counter-weight for those that contribute more through passing. For this reason, CPO is essentially a percentage, weighted. Above, I wanted to see what kind of correlation it had to TOI/G, of which Hockey Reference has data back to 1998-99 (I’m still compiling the NHL.com EV/PP/PK TOI data). This was graphed with 5,855 forward performances and 3,079 defenseman performances back to 98-99, all 25 GP or more.
CPO trumps the individual correlation of %PSh and %PA (and older metrics %TSh, or percentage of team shots and %TA as well) for both forwards and defensemen. As you can probably guess from the charts above, forwards have a stronger correlation, of 0.87 (with an r-square of 0.81), and defensemen return a correlation of 0.72 (r-square: 0.57). I think there is some promise for using this to estimate player TOI in the past, before we had the data (especially for forwards).
I matched up the values on the x and y-axes to give a point of comparison between the two positions.