An experimenter created a 7-factor 8-run design by assigning I = ABD = ACE=BCF-ABCG (or equivalently,...

 

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An experimenter created a 7-factor 8-run design by assigning I = ABD = ACE=BCF-ABCG (or equivalently, D = AB, E = AC, F=BC, and G-ABC). The results are listed in Table 4.1. 1) Is it a 2k factorial design or fractional factorial design? If it is a factorial design, what is the k? If it is a fractional design, what is the fraction and resolution? 2) What is the design generator? What is the alias structure? 3) Analyze the data. Comment your findings. 4) The fold-over runs appear in Table 4.2. Analyze the whole data (Table 4.1 + Table 4.2) and compare the analysis to your analysis in part (3). Are there any remaining uncertainties in your analysis of this experiment? 5) What coded levels of the important factors would you recommend using, assume we want to maximize response? A + + + + A + + + + B + + - + + B + + + + ▼ C . . + + + + с + + + + . D + + + D + + + + Table 4.1 E + + - + + Table 4.2 E + + + + F + + + F - + + + + G . + + . + - + G + . + + + Response 85.6 75.0 93.3 145.5 83.6 77.5 95.1 141.9 Response 91.4 136.7 82.4 73.4 94.2 143.9 87.4 71.8 An experimenter created a 7-factor 8-run design by assigning I = ABD = ACE=BCF-ABCG (or equivalently, D = AB, E = AC, F=BC, and G-ABC). The results are listed in Table 4.1. 1) Is it a 2k factorial design or fractional factorial design? If it is a factorial design, what is the k? If it is a fractional design, what is the fraction and resolution? 2) What is the design generator? What is the alias structure? 3) Analyze the data. Comment your findings. 4) The fold-over runs appear in Table 4.2. Analyze the whole data (Table 4.1 + Table 4.2) and compare the analysis to your analysis in part (3). Are there any remaining uncertainties in your analysis of this experiment? 5) What coded levels of the important factors would you recommend using, assume we want to maximize response? A + + + + A + + + + B + + - + + B + + + + ▼ C . . + + + + с + + + + . D + + + D + + + + Table 4.1 E + + - + + Table 4.2 E + + + + F + + + F - + + + + G . + + . + - + G + . + + + Response 85.6 75.0 93.3 145.5 83.6 77.5 95.1 141.9 Response 91.4 136.7 82.4 73.4 94.2 143.9 87.4 71.8

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1 Is it a 2 factorial design or fractional factorial design If it is a factorial design what is the k If it is a fractional design what is the fraction and resolution This is a fractional factorial de... View the full answer