The correlation between Tier and kda is 0.85. 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 0.3938
Mind Breaker 0.3693
Titan Sliver 0.2293
Paladin Sword 0.2193
Elven Tunic 0.2193
Enchanted Quiver 0.2093
Grove Bow 0.1838
Penta-Edged Sword 0.1748
Ninja Gear 0.1748
Defiant Shell 0.1693
Stormcrafter 0.1148
Pupil'S Gift 0.0838
Ex Machina 0.0803
Mirror Shield 0.0703
Cloak Of Flames 0.0693
Arcane Ring 0.0683
Ceremonial Robe 0.0593
Vambrace 0.0538
Force Boots 0.0503
Occult Bracelet 0.0483
Bullwhip 0.0438
Stygian Desolator 0.0403
Quickening Charm 0.0393
Spell Prism 0.0348
Timeless Relic 0.0248
Apex 0.0103
Pirate Hat 0.0103
Fairy'S Trinket 0.0083
Dragon Scale 0.0038
Gossamer Cape -0.0162
Vampire Fangs -0.0262
Trickster Cloak -0.0352
Ascetic'S Cap -0.0452
Dandelion Amulet -0.0507
Seeds Of Serenity -0.0617
Havoc Hammer -0.0752
Broom Handle -0.0817
Lance Of Pursuit -0.0817
Giant'S Ring -0.0897
Spark Of Courage -0.0917
Pig Pole -0.1017
Trusty Shovel -0.1017
Faded Broach -0.1017
Ogre Seal Totem -0.1107
Psychic Headband -0.1107
Arcanist'S Armor -0.1197
Eye Of The Vizier -0.1362
Seer Stone -0.1597
Fallen Sky -0.1597
Martyr'S Plate -0.1652
Telescope -0.1952
Tumbler'S Toy -0.2017
Duelist Gloves -0.2117
Book Of Shadows -0.2197
Philosopher'S Stone -0.2462
Book Of The Dead -0.2597