A process engineer investigated the effect of four factors/variables on the fil- tration rate of a chemical process in a pilot plant. The factors of interest are temperature, pressure, concentration and stir rate, which were investigated at two values each resulting in 24 - 16 experiments in total. The experiments were performed on two reactors by dividing the 16 experiments into two orthogonal blocks. The data are provided in the file filtrationdata.csv". a Load the data into R. Perform an ANOVA test including all main ef- fects and two-interactions between the factors in the model. Give the full ANOVA table. Did the two reactors yield significant different results at significance level a = 0.05 - Which of the two-order interaction effects are significant at significance level a = 0.05? Make an effects plot and show/demonstrate that the effects plot shows the same factors as the ANOVA test to be significant. Make interaction plots of all the significant two-order interaction terms in the model. If the engineer wants to maximize filtration rate, which conditions/values of the variables do you recommend? AutoSave filtrationdata Insert Page Layout Formulas Review Help X out Calibri 29 Wrap In Copy Format Painter BIU. | Merge Clipboard Alignment POSSIBLE DATA LOSS Some features might be lost if you save this workbook in the comma-delimited File Home Data View WAA Paste Font AI Block B Run 1 Block 2 Block 1 3 Block 1 4 Block 1 5 Block 1 6 Block 1 7 Block 1 8 Block 1 9 Block 1 10 Block 2 11 Block 2 12 Block 2 13 Block 2 14 Block 2 15 Block 2 16 Block 2 17 Block 2 D E G H Temperat. Pressure Concentra Stir Rate Filtration Rate 1 24 15 2 15 48 2 35 15 2 30 104 3 24 15 4 30 70 4 35 4 15 65 5 24 4 15 68 6 35 10 4 30 86 7 24 2 30 43 8 35 10 2 15 71 9 35 15 2 15 65 10 35 4 15 60 11 24 10 2 15 45 12 24 4 15 80 13 24 15 2 30 45 14 24 10 4 30 75 15 35 2 30 100 16 35 15 4 30 96 D00 * * * 3 4 5 2 2 2 3 4 5 5 5 # # = = = = munsus 18 19 20 A process engineer investigated the effect of four factors/variables on the fil- tration rate of a chemical process in a pilot plant. The factors of interest are temperature, pressure, concentration and stir rate, which were investigated at two values each resulting in 24 - 16 experiments in total. The experiments were performed on two reactors by dividing the 16 experiments into two orthogonal blocks. The data are provided in the file filtrationdata.csv". a Load the data into R. Perform an ANOVA test including all main ef- fects and two-interactions between the factors in the model. Give the full ANOVA table. Did the two reactors yield significant different results at significance level a = 0.05 - Which of the two-order interaction effects are significant at significance level a = 0.05? Make an effects plot and show/demonstrate that the effects plot shows the same factors as the ANOVA test to be significant. Make interaction plots of all the significant two-order interaction terms in the model. If the engineer wants to maximize filtration rate, which conditions/values of the variables do you recommend? AutoSave filtrationdata Insert Page Layout Formulas Review Help X out Calibri 29 Wrap In Copy Format Painter BIU. | Merge Clipboard Alignment POSSIBLE DATA LOSS Some features might be lost if you save this workbook in the comma-delimited File Home Data View WAA Paste Font AI Block B Run 1 Block 2 Block 1 3 Block 1 4 Block 1 5 Block 1 6 Block 1 7 Block 1 8 Block 1 9 Block 1 10 Block 2 11 Block 2 12 Block 2 13 Block 2 14 Block 2 15 Block 2 16 Block 2 17 Block 2 D E G H Temperat. Pressure Concentra Stir Rate Filtration Rate 1 24 15 2 15 48 2 35 15 2 30 104 3 24 15 4 30 70 4 35 4 15 65 5 24 4 15 68 6 35 10 4 30 86 7 24 2 30 43 8 35 10 2 15 71 9 35 15 2 15 65 10 35 4 15 60 11 24 10 2 15 45 12 24 4 15 80 13 24 15 2 30 45 14 24 10 4 30 75 15 35 2 30 100 16 35 15 4 30 96 D00 * * * 3 4 5 2 2 2 3 4 5 5 5 # # = = = = munsus 18 19 20
