Sep 19, 2017

CONSIDER THE ISATIN YIELD DATA FROM THE EXPERIMENT DESCRIBED IN PROBLEM 6.38. THE ORIGINAL…

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Consider the isatin yield data from the experiment described in Problem 6.38. The original experiment was a 24 full factorial. Suppose that the original experimenters could only afford eight runs. Set up the 24-1 fractional factorial design with I = ABCD and select the responses for the runs from the full factorial data in Example 6.38. Analyze the data and draw conclusions. Compare your findings with those from the full factorial in Example 6.38.

Problem 6.38:

The book by Davies (Design and Analysis of Industrial Experiments) describes an experiment to study the yield of isatin. The factors studied and their levels are as follows:

The data from the 24 factorial is shown in Table P6.11.

(a) Fit a main-effects-only model to the data from this experiment. Are any of the main effects significant?

(b) Analyze the residuals. Are there any indications of model inadequacy or violation of the assumptions?

(c) Find an equation for predicting the yield of isatin over the design space. Express the equation in both coded and engineering units.

(d) Is there any indication that adding interactions to the model would improve the results that you have obtained?


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