Question 1an article in industrial and engineering, Ask an Expert

Management Studies

Question 1

An article in Industrial and Engineering Chemistry ("More on Planning Experiments to Increase Research Efficiency", 1970, pp.60-65) uses a 25-2design to investigate the effect of A=condensation temperature, B=amount of materials, C=solvent volume, D=condensation time, and E=amount of material 3 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

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

Question 2

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

Question 3

Estimate the main effects.

Question 4

Prepare an analysis of variance table and verify that the AB and AD interactions are available to use as error.

Question 5

Plot the residuals versus the fitted values. Also construct a normal probability plot of the residuals. Comment on the results. Consider the 27-2 design by choosing two four-factor interactions as the independent generators.

Question 6

Write down the complete alias structures for this design.

Question 7

Outline the analysis of variance table.

Question 8

What is the resolution of this design?

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