1. Analyze the data as a two way factorial design. 7. 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 24, 22 17, 12 25, 23 23, 22 16, 21 18, 13 18, 21 23, 2! 100 28, 27 27, 31 30, 23 29, 31

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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
a.
Is there any indication that either factor affects the amount of warping? Is
there any interaction between the factors? Use alpha=0.05. Write a complete
conclusion on both significant and insignificant factors and interaction.
Transcribed Image Text:a. Is there any indication that either factor affects the amount of warping? Is there any interaction between the factors? Use alpha=0.05. Write a complete conclusion on both significant and insignificant factors and interaction.
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