Homework SourseAn experiment was designed to identify a better ultrafiltrat
An experiment was designed to identify a better ultrafiltration membrane for separating proteins and peptide drugs from fermentation broth. Two levels of an additive PVP (%wt) and time duration (hours) were investigated to determine the better membrane. The separation values (measured in %) were recorded. Use Minitab to answer the following questions:
Data:
a) Compute the estimates of the effects and their SE for the design.
b) Construct two-factor interaction plots and comment on the interaction of the factors.
c) Use the t-ratio to determine the significance of each effect with = 0.05. Comment in your findings.
Note: Use the values from your estimate table on (a).
d) Compute an approximate 95% CI for each effect. Compare your results with those in part (c) and comment.
e) Perform an analysis of variance (ANOVA) of the appropriate regression model for this design. Include in your analysis hypothesis tests for each coefficient, as well as residual analysis. State your final conclusions about the adequacy of the model. Compare your results to part (c) and comment.
Do the residual analysis to check for assumptions.
| PVP | Time | % |
| -1 | -1 | 69.6 |
| 1 | -1 | 91 |
| -1 | 1 | 80 |
| 1 | 1 | 92.3 |
| -1 | -1 | 71.5 |
| 1 | -1 | 93.2 |
| -1 | 1 | 81.6 |
| 1 | 1 | 93.4 |
| -1 | -1 | 70 |
| 1 | -1 | 93 |
| -1 | 1 | 83 |
| 1 | 1 | 88.5 |
| -1 | -1 | 69 |
| 1 | -1 | 87.2 |
| -1 | 1 | 84.3 |
| 1 | 1 | 95.6 |
Solution
