A study was conducted to determine the effects of four factors on the output of...

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A study was conducted to determine the effects of four factors on the output of a process martes Provide the design layout for a four factor factorial experiment The results are in the table below 3 maris Given the responses provide the contrast totals, effect estimates and Sum of squares marks Generate the ANOVA table for these results and highlight those that are significant. Une alphaOOL 3 marks Create one interaction plot for the two-factor interaction that is most significant 0652 Replicates Treatment 1 11 (1) 0.756 0.675 0.985 1.112 b 0.723 0.776 0.632 0.605 d 0.603 ab 0.984 0.952 0.671 0.666 ad 0.811 0.776 b 0.652 0.669 bd 0.637 0.552 od 0.564 0.586 abc 0.802 0.785 abd 0.795 0.775 acd 0.657 0.619 bed 0.556 0.495 abcd 0.691 0,652 An experiment was performed to study the effect of five factors in an effort to increae yield. The five factors and their levels are: High large A B D aperture exposure time development time mask dimension etch time Low small 0.8 30 small 14.5 1.2 45 large E 15.5 Responses treatment yield (1) 7 9 b 34 ab 55 16 ac 20 bc 40 abc 60 d 8 ad 10 bd 32 abd 50 cd 18 acd 21 bed 44 abcd 61 e 8 ae 12 be 35 abe 52 ce 15 ace 22 bce 45 abce 65 de 6 ade 10 bde 30 abde 53 cde 15 acde 20 bode 41 abcde 63 5 marks Provide the design layout for a two-level, five-factor factorial experiment Given the responses, provide effect estimates. 3 marks 3 marks Provide a half-normal plot of the effects and label the effects ( as we did on class) 2 marks Which effects are significant? A study was conducted to determine the effects of four factors on the output of a process martes Provide the design layout for a four factor factorial experiment The results are in the table below 3 maris Given the responses provide the contrast totals, effect estimates and Sum of squares marks Generate the ANOVA table for these results and highlight those that are significant. Une alphaOOL 3 marks Create one interaction plot for the two-factor interaction that is most significant 0652 Replicates Treatment 1 11 (1) 0.756 0.675 0.985 1.112 b 0.723 0.776 0.632 0.605 d 0.603 ab 0.984 0.952 0.671 0.666 ad 0.811 0.776 b 0.652 0.669 bd 0.637 0.552 od 0.564 0.586 abc 0.802 0.785 abd 0.795 0.775 acd 0.657 0.619 bed 0.556 0.495 abcd 0.691 0,652 An experiment was performed to study the effect of five factors in an effort to increae yield. The five factors and their levels are: High large A B D aperture exposure time development time mask dimension etch time Low small 0.8 30 small 14.5 1.2 45 large E 15.5 Responses treatment yield (1) 7 9 b 34 ab 55 16 ac 20 bc 40 abc 60 d 8 ad 10 bd 32 abd 50 cd 18 acd 21 bed 44 abcd 61 e 8 ae 12 be 35 abe 52 ce 15 ace 22 bce 45 abce 65 de 6 ade 10 bde 30 abde 53 cde 15 acde 20 bode 41 abcde 63 5 marks Provide the design layout for a two-level, five-factor factorial experiment Given the responses, provide effect estimates. 3 marks 3 marks Provide a half-normal plot of the effects and label the effects ( as we did on class) 2 marks Which effects are significant

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