Training Data
[4] 50% 2421/4843 4843(0.05) = 242.15 ___|_____ 44% [5] [2] 1216/2112 = 57.6% ____|___ 42% [6] [1] 115/188 = 61.2% ___|____ 53.8% [3] [7] 836/2071 = 40.4% 254/472 0
188 61.2% . 115 188 | | 5% 10% 242.15
57.6% 1216 2112
2300 2772 . 53.8% . 254 472 | | | | 45% 50% 55% 60% 2179.35 2421.5
40.1% 836 2071
4843 .
Calculating Percent Response 5th %ile count:
10th
115 + (242.15-188)(1216/2112) = 146.177 146.177/242.15 = 60.366% response 146.177/2421 = 6.03788% captured response %ile: 1216/2112 = 57.57576% response Cumulative: (count1 + count2)/(2x242.15)=(60.366+57.576)/2=58.97%
15th %ile 57.57576% response Cumulative: (60.366 + 2x57.57576)/3 = 58.51% Etc. 50th %ile count: (2300-9x242.15)(1216/2112) + (10x242.15-2300)(254/472) = 134.8486 134.8486/242.15=55.688% 55th %ile 254/472 = 53.8% 60th %ile = 46.4%, 65th through 100th %ile 836/2071 = 40.4% response Lift = %response/(overall response) = %response(4843/2421) Example, 5th %ile: 0.60366(4843/2421) = 1.20757 Example, 15th %ile: Lift= 1.1518, Cumulative lift =.5851(4843/2421)=1.1704 Gain = (Lift-1)x100% = 20.757 and 15.18, cumulative 17.04% for our examples (SAS gives cumulative gain)
