The table shows a 32 factorial design. Both factors A and B have 3 different levels each and the table shows the response variable Y. Which factors or two-way interaction are statistically significant to the 0.05 level? Factor A 1 2 3 1 78 79 80 82 79 80 Factor B 2 77 80 81 83 85 86 O Only interaction AB is significant. ● Only factor B is significant. 3 82 83 84 86 80 79 O Factors A, B and AB are all significant. O Only factor A is significant.

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The table shows a 32 factorial design. Both factors A and B have 3 different levels each and the table shows the response variable
Y.
Which factors or two-way interaction are statistically significant to the 0.05 level?
Factor
A
1
2
3
1898
78
79
80
82
79
80
Factor B
2
77
80
81
83
85
86
O Only interaction AB is significant.
3
82
83
84
86
80
79
● Only factor B is significant.
O Factors A, B and AB are all significant.
O Only factor A is significant.
Transcribed Image Text:The table shows a 32 factorial design. Both factors A and B have 3 different levels each and the table shows the response variable Y. Which factors or two-way interaction are statistically significant to the 0.05 level? Factor A 1 2 3 1898 78 79 80 82 79 80 Factor B 2 77 80 81 83 85 86 O Only interaction AB is significant. 3 82 83 84 86 80 79 ● Only factor B is significant. O Factors A, B and AB are all significant. O Only factor A is significant.
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