In the one-factor example for control methods for a chemical process

(Example 3.1), two other response variables were also measured.

The results for purity (%) and a contaminant (ppm) were the following:

(a) Prepare run charts for these data. Partition the variability of the two response variables among the factor and the nuisance variables.
What conclusions can be made about the factor for each response variable?

(b) Calculate adjusted data for each response variable and plot the adjusted data on a run chart. What additional information can be learned from a study of the adjusted data?

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Date: Factor: Purity: 9 2 3 4 5 7 8 9 10 11 12 13 14 15 16 C C C C C V V V V V m m m m m 72 69 67 67 Contaminant: 33 28 30 26 64 62 63 66 68 67 70 70 73 74 76 31 43 31 48 44 46 35 31 33 29 32