TABLE E3.6 The Crack Length Experiment from Exercise 3.9 A B C D + +1 I...

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TABLE E3.6 The Crack Length Experiment from Exercise 3.9 A B C D + +1 I + + + Treatment Combination Crack Length (1) 0.011 0.015 0.013 a 1.015 1.002 1.018 b 0.014 0.012 0.010 ab 1.032 1.020 1.046 C 0.440 0.444 0.459 2.388 2.253 2.467 bc 1.228 1.100 1.306 abc 2.759 2.560 2.839 d 0.010 0.013 0.008 ad 0.593 0.542 0.631 bd 0.675 0.600 0.752 abd 1.362 1.215 1.413 cd 0.544 0.591 0.486 acd 2.112 2.003 2.218 bcd 1.553 1.318 1.625 abcd 2.497 2.220 2.753 ++ + + | + | + |+| I I I + + I + ++ + + +++ + + + 2) Using the data from Exercise 3.9 in MMA-C, complete the following analysis using an appropriate statistical software package. Note: The level for factor D in Treatment Combination d should be +. a) Calculate an ANOVA and indentify the significant effects. b) Estimate treatment means for the significant effects and recommend appropriate settings. c) Prepare residuals plots for the analysis. Are there any indications that the ANOVA assumptions have been violated? TABLE E3.6 The Crack Length Experiment from Exercise 3.9 A B C D + +1 I + + + Treatment Combination Crack Length (1) 0.011 0.015 0.013 a 1.015 1.002 1.018 b 0.014 0.012 0.010 ab 1.032 1.020 1.046 C 0.440 0.444 0.459 2.388 2.253 2.467 bc 1.228 1.100 1.306 abc 2.759 2.560 2.839 d 0.010 0.013 0.008 ad 0.593 0.542 0.631 bd 0.675 0.600 0.752 abd 1.362 1.215 1.413 cd 0.544 0.591 0.486 acd 2.112 2.003 2.218 bcd 1.553 1.318 1.625 abcd 2.497 2.220 2.753 ++ + + | + | + |+| I I I + + I + ++ + + +++ + + + 2) Using the data from Exercise 3.9 in MMA-C, complete the following analysis using an appropriate statistical software package. Note: The level for factor D in Treatment Combination d should be +. a) Calculate an ANOVA and indentify the significant effects. b) Estimate treatment means for the significant effects and recommend appropriate settings. c) Prepare residuals plots for the analysis. Are there any indications that the ANOVA assumptions have been violated?