QUESTION $1$

An experiment was performed to improve the yield of a chemical process. Four factors

were selected, and two replicates of a completely randomized experiment were run. The

results are shown in the following table:

Suppose that in the chemical process development experiment in Question $1,$ it was only

possible to run a one$-$half fraction of the $24$ design. Construct a $2^{4-1}$ design with $I=$ABCD

and perform the statistical analysis, using the data from Replicate I.