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mnl 8/26/08 1 Amy’s DOE Treadmill Experiment : An Introductory DOE Experience (A single full replicate of two factors each at 2 levels) 1 replicate, 2 2 Recommended preliminary reading: Chapter 8 pp 114-123

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mnl 8/26/08 2 Naturally, human physiology is quite complex and can require complicated studies in a process that pursues knowledge about the human system. Even more challenging can be the pursuit of this knowledge when human and machine are interacting. Nevertheless, Freshman Engineering Student , Amy decides to experiment with a treadmill, using herself as the subject. Amy and the treadmill constitute a human-machine system, a physiological response of which is Amy’s heart rate. Be careful Amy!
mnl 8/26/08 3 Input factors A and B. System response, Y. A 0 B 0 15 30 45 60 1 2 3 4 Y 60 70 80 100 110 120 130 140 150 160 90 A treadmill with two settings. A: Speed in miles per hour B: Incline in degrees Response Y: Amy’s heart rate (bpm) at 15 minutes. Amy generally sets speed around 3 mph and incline around 30 degrees. But 1. Amy wants to predict her heart rate throughout the speed range 2 to 4 mph and incline range 15 to 45 degrees. And 2. She wants to find an abundance of settings that will have a response of 140 beats per min.

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mnl 8/26/08 4 Amy’s Experiment, a 2 2 Factorial A 0 B 0 15 30 45 60 1 2 3 4 Y 60 70 80 100 110 120 130 140 150 160 90 Amy decides use four treatment combinations of mat speed and incline angle. I: A=2, B=15 II: A=2, B=45 III: A=4, B=15 IV: A=4, B=45 She runs these combinations in random order and takes a ½ hour break between each measurement. She tries to hold, other things as constant as possible (e.g. no candy). Notation: A - is 2 mph A + is 4 mph B - is 15 degrees B + is 45 degrees
mnl 8/26/08 5 Amy’s table with pulse data 176 (1) 45 4 132 (4) 15 4 102 (2) 45 2 80 (3) 15 2 Y (Pulse: rate at 15 minutes, bpm) B (degrees) A (mph) With the little numbers in parentheses Amy is telling you which combinations were run 1 st , 2 nd , 3 rd ,and 4 th .

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