The correlation between Tier and kda is 0.82. The more Tier, the more kda, and vice versa. But some values are higher than expected, some are lower. Efficiency is a difference between the value of kda depending on Tier (blue dots) with respect to the expected value (red line).
Efficiency
Ring Of Aquila 0.4354
Mind Breaker 0.3832
Ninja Gear 0.2911
Titan Sliver 0.2832
Elven Tunic 0.2632
Paladin Sword 0.2332
Grove Bow 0.2254
Enchanted Quiver 0.2232
Penta-Edged Sword 0.2111
Occult Bracelet 0.1375
Stygian Desolator 0.1189
Vambrace 0.1154
Arcane Ring 0.1075
Pupil'S Gift 0.1054
Defiant Shell 0.0932
Stormcrafter 0.0911
Mirror Shield 0.0889
Ex Machina 0.0889
Pirate Hat 0.0689
Spell Prism 0.0611
Apex 0.0489
Ceremonial Robe 0.0432
Cloak Of Flames 0.0432
Force Boots 0.0389
Fairy'S Trinket 0.0375
Bullwhip 0.0354
Quickening Charm 0.0232
Timeless Relic 0.0011
Trickster Cloak 0.0011
Gossamer Cape -0.0146
Faded Broach -0.0225
Vampire Fangs -0.0246
Dandelion Amulet -0.0268
Dragon Scale -0.0446
Pig Pole -0.0725
Lance Of Pursuit -0.0725
Broom Handle -0.0925
Ascetic'S Cap -0.1089
Giant'S Ring -0.1111
Havoc Hammer -0.1189
Trusty Shovel -0.1225
Psychic Headband -0.1268
Eye Of The Vizier -0.1446
Arcanist'S Armor -0.1511
Seeds Of Serenity -0.1625
Ogre Seal Totem -0.1668
Martyr'S Plate -0.1689
Fallen Sky -0.1811
Spark Of Courage -0.1925
Tumbler'S Toy -0.2025
Seer Stone -0.2111
Telescope -0.2289
Philosopher'S Stone -0.2646
Book Of The Dead -0.2811
Book Of Shadows -0.2811
Duelist Gloves -0.3025