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5- An experiment was performed to improve the yield of a chemical process. Four factors were selected, and two replicates of a completely randomized
5- An experiment was performed to improve the yield of a chemical process. Four factors were selected, and two replicates of a completely randomized experiment were run. Based on the ANOVA table below, determine which factors are important in explaining yield. Why?. Use = 0.05. Analysis of Variance for Yield (coded units) Source DE Seq SS Adj SS. Adj MS F P Main Effects 4 852.63 852.625 213.156 27.84 0.000 A 1 657.03 B 1 C 1 57.78 D 1 124.03 657.031 13.78 13.781 57.781 124.031 657.031 85.82 0.000 2-Way Interactions 6 199.69 199.687 A B. 1 132.03 132.031 A*C 1 3.78 3.781 A D 1 38.28 38.281 13.781 1.80 0.198. 57.781 7.55 0.014 124.031 16.20 0.001 33.281 4.35 0.009 132.031 17.24 0.001 3.781 0.49 0.492 38.281 5.00 0.040 B*C 1 2.53 2.531 2.531 0.33 0.573 B D 1 0.28 0.281 0.281 0.04 0.850. C*D 1 22.78 22.781 22.781 2.98 0.104 3-Way Interactions 4 405.12 405.125 101.281 13.23 0.000 A*B*C 1 215.28 215.281 215.281 28.12 0.000 A*B*D 1 175.78 175.781 175.781 A*C*D 1 7.03 7.031 22.96 0.000 7.031 0.92 0.352 B*C*D 1 7.03 7.031 4-Way Interactions 1 47.53 47.531 7.031 47.531 0.92 0.352 6.21 0.024 A*B*C*D 1 47.53 47.531 47.531 6.21 0.024 Residual Error 16 122.50 122.500 7.656 Pure Error 16 122.50 122.500 7.656 Total 31 1627.47
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