Reference no: EM13740455
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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