1. Analyze the data as a two way factorial design. 31. Johnson and Leone (Statistics and Experimental Design in Engineering and the Physical Sciences, Wiley, 1977) describe an experiment to investigate warping of copper plates. The two factors studied were the temperature and the copper content of the plates. The response variable was a measure of the amount of warping. The data were as follows: Temperature (°C) 50 75 100 125 40 17, 20 12,9 16, 12 21, 17 Copper Content (%) 60 80 16, 21 18, 13 18, 21 23, 21 24, 22 17, 12 25, 23 23, 22 100 28, 27 27, 31 30, 23 29, 31

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c. Perform the Tukey's post hoc analysis comparing levels of copper content.
No need to interpret for all levels. Does the level, which gives the lowest
warping on average in part b, providing a lower warping than other levels
significantly? (If yes, this is the level of copper content we should
recommend.)
Transcribed Image Text:c. Perform the Tukey's post hoc analysis comparing levels of copper content. No need to interpret for all levels. Does the level, which gives the lowest warping on average in part b, providing a lower warping than other levels significantly? (If yes, this is the level of copper content we should recommend.)
1. Analyze the data as a two way factorial design.
Johnson and Leone (Statistics and Experimental
Design in Engineering and the Physical Sciences, Wiley,
977) describe an experiment to investigate warping of
copper plates. The two factors studied were the temperature
and the copper content of the plates. The response variable
was a measure of the amount of warping. The data were as
follows:
Temperature (°C)
50
75
100
125
40
17, 20
12,9
16, 12
21, 17
Copper Content (%)
60
80
16, 21
18, 13
18, 21
23, 2!
24, 22
17, 12
25, 23
23, 22
100
28, 27
27, 31
30, 23
29, 31
Transcribed Image Text:1. Analyze the data as a two way factorial design. Johnson and Leone (Statistics and Experimental Design in Engineering and the Physical Sciences, Wiley, 977) describe an experiment to investigate warping of copper plates. The two factors studied were the temperature and the copper content of the plates. The response variable was a measure of the amount of warping. The data were as follows: Temperature (°C) 50 75 100 125 40 17, 20 12,9 16, 12 21, 17 Copper Content (%) 60 80 16, 21 18, 13 18, 21 23, 2! 24, 22 17, 12 25, 23 23, 22 100 28, 27 27, 31 30, 23 29, 31
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