Lec 05 - 2k exp & effects

Lec 05 - 2k exp & effects - 2 k Factorial...

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Unformatted text preview: 2 k Factorial Experiments • k Factors • 2 Levels Each x i = level of factor i (-1 or +1), i=1...k • 2 k Treatments: total number of combinations Notation • Treatments, Replicates, Runs • Labeling for Treatments ex) k=3 and x 1 =+1, x 2 =-1, and x 3 =+1 label: ac • example: 2 3 experiment with 6 replicates 48 RUNS 2 DESIGN MATRIX FOR 2 3 EXPERIMENT Design Matrix specifies the treatments in STANDARD ORDER Treat ment x 1 x 2 x 3 Label for treatment Randomize Run Order 1-1-1-1 (1) 6 2 +1-1-1 a 4 3-1 +1-1 b 7 4 +1 +1-1 ab 3 5-1-1 +1 c 2 6 +1-1 +1 ac 8 7-1 +1 +1 bc 1 8 +1 +1 +1 abc 5 What might be the consequence of not randomizing these runs? 3 The Router Experiment (Montgomery 1991, pp. 498) • A router cuts registration notches in printed circuit boards. The boards are fixed into position using the notches and components are inserted automatically. Variability in the notch dimension causes insertion problems. • Two factors: Factor Levels Bit Size (X 1 ) 1/16" and 1/8" Speed (X 2 ) 40 and 80 rpm • Performance Measure: An accelerometer measures vibration allowed on the X, Y, and Z coordinate axes. The resultant vector is the performance measure in units of cps, cycles per second....
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This note was uploaded on 09/20/2011 for the course ENG 300 taught by Professor Albin during the Fall '11 term at Rutgers.

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Lec 05 - 2k exp & effects - 2 k Factorial...

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