An experiment was designed to identify a better ultrafiltration

Statistical And Mathematical Questions

1. 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 %)  resulting from these experimental runs are as follows:

(a) Compute the estimates of the effects and their standard errors for this 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 α = 0.05. Comment on your findings.

(d) Compute an approximate 95% CI for each effect. Compare your results with those in part (a) and comment.

(e) From your results in (a) and (b), build a model that relates the separation to the design factors.

(f) From your model, determine the optimal settings to maximize the separation.