Primary Metrics:
1. Unweighted Z (simple average):
\[unweighted\_z = \frac{1}{n_{tiers}} \sum_{i=1}^{n_{tiers}} avg\_z\_index_i\]
2. Weighted Z (tier + damage weighted):
This is our key metric that accounts for both tier difficulty and damage contribution:
\[weighted\_z = \frac{\sum_{i=1}^{n_{tiers}} (avg\_z\_index_i \times tier\_weight_i \times damage_i)}{\sum_{i=1}^{n_{tiers}} (tier\_weight_i \times damage_i)}\]
Where: - tier_weight = 1.5 for Mythic tiers (M1, M2) -
tier_weight = 1.25 for high Legendary tiers (L4, L5) -
tier_weight = 1.0 for other tiers (L1, L2, L3) -
damage = total damage dealt on that boss tier
This metric gives more weight to: 1. Performance on harder boss tiers (via tier_weight) 2. Performance where you dealt more damage (via damage weighting)
