Both methods have more than a few imperfections (as noted) but offer a reasonable indication. As a third - and probably final - weighting factor, I thought I'd try using GVT, as developed by Tom Awad and described at hockeyprospectus.com. In disgracefully crude short form, this is a metric placing a relative value on a player's contribution to goals scored and conceded by his team.
So, rather than cap hit, for example, I've just used instead a player's average GVT per game (or for goalies, GVT per game available for) in the 2011/12 regular season (taken from www.hockeyabstract.com) as the weighting, producing a cumulative team figure I'll imaginatively call GVTIP.
- For players that missed the whole or the vast majority of the season, I've used the equivalent 2010/11 (or 2009/10) GVT figure.
- Unlike TOI/G used in deriving AMIP, the GVT figure does not account for any differences between the figures accrued with different teams during the season for players traded mid-season etc.
- The main drawback is sample size, in that GVT in only a single year (or part year) is likely to be a pretty volatile indicator of a player's relative value, so there are more than a few examples where a player's contribution - perhaps based on a handful of games only - to team GVTIP skews the result completely. So I'm not guaranteeing it is foolproof by any means...
- Of the top three CHIP numbers, GVT is much more favourable towards the Penguins missing Crosby, Letang, Staal and Malkin (contributing about 41 goals of their deficit between them) than the Canadiens going without Gomez, Markov and Gionta and the Blue Jackets being deprived of Huselius, Martinek, Methot, Carter and Tyutin, for example
- The fact that Gomez and Markov each managed to get a negative GVT in their short periods of active duty actually imply that the Canadiens were several goals better off by them not being in the line-up for most of the year (told you there were distortions...) - believable for Gomez, perhaps not for Markov
- On a similar theme, most of the Islanders' absences are pretty insignificant in terms of GVT, except for Mr Anomaly himself, Rick DiPietro, whose stellar play in the three seconds of health he managed to muster skews the team number into strongly negative territory all by himself
- Conversely, the Blackhawks have a low CHIP number but are way up on GVTIP, largely due to Toews (fair enough) and Carcillo (okaaaayyyyy...)
- As I think would be expected - and partly expecting some of the relative movements above - the GVTIP table is more tilted towards playoff teams with higher team GVT at the top end. Perhaps an argument for using share of team GVT as the weighting of player value at a team level?