If you used ratios like hits for / against like you do with giveaways / takeaways, instead of just the positive numbers, the problem of differences between rinks should mostly go away.
Generally speaking, stats like these are never going to be perfect, but as long as you know the weaknesses, they can still provide some information value.
You're never going to come up with one stat to tell the definitive story of how good a team is (outside of points).
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