MIE364S_LH_6_09 - MIE364H1S Methods of Quality Control and...

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MIE364H1S Methods of Quality Control and Improvement Course Instructor: Prof. V. Makis Handout #6 Factorial Design: 4 Factors, Each at 2 Levels, n = 1. A milling operation was evaluated for finish milling of a particular part. The critical controllable factors affecting surface finish were identified as: A = cutting speed (80, 100) B = depth of cut (1, 8) C = cutter diameter (100, 200) D = feed per tooth (0.25, 0.65) For this experiment, smaller values are better (smoother). Factorial Design Full Factorial Design Factors: 4 Base Design: 4, 16 Runs: 16 Replicates: 1 1 Blocks: none Center pts (total): 0 All terms are free from aliasing Fractional Factorial Fit Estimated Effects and Coefficients for Y (coded units) Term Effect Coef Constant 69.75 A -14.5 -7.25 B 9.5 4.75 C 3.5 1.75 D 2.25 1.125 A*B 1.5 0.75 A*C 1 0.5 A*D -1.75 -0.875 B*C 2 1 B*C -0.75 -0.375 C*D -17.75 -8.875 A*B*C 2.5 1.25 A*B*D -3.75 -1.875 A*C*D 1.75 0.875 B*C*D 21.75 10.875 A*B*C*D -16.75 -8.375
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Analysis of Variance for Y (coded units) Source DF Seq SS Adj SS Adj MS F P Main Effects 4 1271 1271 317.8 * * 2-Way Interaction 6 1304 1304 217.3 * * 3-Way Interaction 4 1986 1986 496.4 * * 4-Way Interaction 1 1122 1122 1122.3 * * Residual Error 0 0 0 0 Total 15 5683 Data Display Row A B C D Y 1 -1 -1 -1 -1 42 2 1 -1 -1 -1 44 3 -1 1 -1
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MIE364S_LH_6_09 - MIE364H1S Methods of Quality Control and...

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