Shea tree oxidation experiment

Shea tree oxidation experiments were conducted to determine which of three factors (reaction time, air pressure, reaction temp.) affect various aspects in converting the woody biomass into a renewable biofuel. Optimal enzymatic conversion of the Shea tree into ethanol occurs when the cellulose content is maximized and lignin content is minimized (“Optimization of Pretreatment Conditions Using Full Factorial Design and Enzymatic Convertibility of Shea Tree Sawdust,” Biomass and Bioenergy, 2013: 130–138). The response variable lignin removal (g/kg) was studied using a full 23 design with no replication:

a. Calculate all main effects and interaction effects for this experiment.

b. Create a probability plot of the effects in part (a).

c. Suppose that additional experimentation shows that only those effects whose magnitudes exceed 40 are important. Which factors or interactions have a significant effect on lignin removal?

d. Draw an effects plot for the important effects identified in part (c).

e. Suppose that additional experiments show that the AB and BC interactions are not significant. If the objective of the study is to maximize lignin removal, what setting of each factor do you recommend?

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