In: Statistics and Probability
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A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data.
Factor B | ||||
---|---|---|---|---|
Level 1 | Level 2 | Level 3 | ||
Factor A | Level 1 | 135 | 90 | 75 |
165 | 66 | 93 | ||
Level 2 | 125 | 127 | 120 | |
95 | 105 | 136 |
Test for any significant main effects and any interaction. Use α = 0.05.
Find the value of the test statistic for factor A. (Round your answer to two decimal places.)
Find the p-value for factor A. (Round your answer to three decimal places.)
p-value =
State your conclusion about factor A.
Because the p-value ≤ α = 0.05, factor A is not significant.Because the p-value > α = 0.05, factor A is significant. Because the p-value > α = 0.05, factor A is not significant.Because the p-value ≤ α = 0.05, factor A is significant.
Find the value of the test statistic for factor B. (Round your answer to two decimal places.)
Find the p-value for factor B. (Round your answer to three decimal places.)
p-value =
State your conclusion about factor B.
Because the p-value > α = 0.05, factor B is not significant.Because the p-value ≤ α = 0.05, factor B is significant. Because the p-value > α = 0.05, factor B is significant.Because the p-value ≤ α = 0.05, factor B is not significant.
Find the value of the test statistic for the interaction between factors A and B. (Round your answer to two decimal places.)
Find the p-value for the interaction between factors A and B. (Round your answer to three decimal places.)
p-value =
State your conclusion about the interaction between factors A and B.
Because the p-value > α = 0.05, the interaction between factors A and B is not significant.
Because the p-value > α = 0.05, the interaction between factors A and B is significant.
Because the p-value ≤ α = 0.05, the interaction between factors A and B is not significant.
Because the p-value ≤ α = 0.05, the interaction between factors A and B is significant.
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