In a 1996 article published in Technometrics, 38, pp. 11–22, the authors discuss the reliability of nuclear power plant emergency generators. To control the risk of damage to the nuclear core during accidents at nuclear plants, the reliability of emergency diesel generators (EDG) to start on demand must be maintained at a very high level. At each nuclear power plant there are a number of such generators. An overall measure of reliability is obtained by counting the number of times the EDGs successfully work when needed. The table here provides the number of successful demands for implementation of an EDG between each subsequent failure in an EDG for all the EDGs at each of seven nuclear power plants. A regulatory agency wants to determine if there is a difference in the reliability of the seven nuclear power plants. (Use Data _8). Do the conditions necessary for conducting the ANOVA test appear to be satisfied by these data? Run an ANOVA (Regardless of the assumptions) and Kruskal–Wallis test. data_8 'A' 'B' 'C' 'D' 'E' 'F' 'G' 28 2 142 64 139 18 0
In a 1996 article published in Technometrics, 38, pp. 11–22, the authors discuss the reliability of nuclear power plant emergency generators. To control the risk of damage to the nuclear core during accidents at nuclear plants, the reliability of emergency diesel generators (EDG) to start on demand must be maintained at a very high level. At each nuclear power plant there are a number of such generators. An overall measure of reliability is obtained by counting the number of times the EDGs successfully work when needed. The table here provides the number of successful demands for implementation of an EDG between each subsequent failure in an EDG for all the EDGs at each of seven nuclear power plants. A regulatory agency wants to determine if there is a difference in the reliability of the seven nuclear power plants. (Use Data _8). Do the conditions necessary for conducting the ANOVA test appear to be satisfied by these data? Run an ANOVA (Regardless of the assumptions) and Kruskal–Wallis test.
data_8
'A' 'B' 'C' 'D' 'E' 'F' 'G'
28 2 142 64 139 18 0
50 11 110 29 21 108 6
193 75 3 1 214 9 0
55 6 273 3 67 8 16
4 1 54 8 174 17 1
7 12 32 29 1 88 58
174 4 3 4 9 28 13
76 6 40 60 2 36
10 64 23 119 33
0 3 30 237 19
10 0 17 110
84 3 7 71
0 1 12
9 20 6
1 78 12
0 7
62 5
26
15
226
54
46
128
4
105
40
4
273
164
7
55
41
26
6
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