article in Industrial and Engineering Chemistry (“More on Planning Experiments to Increase Research Efficiency,” 1970, pp. 60-65) uses a 25-2 design to investigate the effect of A = condensation, B = amount of material 1, C = solvent volume, D = condensation time, and E = amount of material 2 on yield.  The results obtained are as follows

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An article in Industrial and Engineering Chemistry (“More on Planning Experiments to Increase Research Efficiency,” 1970, pp. 60-65) uses a 25-2 design to investigate the effect of A = condensation, B = amount of material 1, C = solvent volume, D = condensation time, and E = amount of material 2 on yield.  The results obtained are as follows:

e =

23.2

ad =

16.9

cd =

23.8

bde =

16.8

ab =

15.5

bc =

16.2

ace =

23.4

abcde =

18.1

a. Verify that the design generators used were I = ACE and I = BDE.

b. Write down the complete defining relation and the aliases for this design.

c. Estimate the main effects.

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