Question
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data:
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 280, SSA = 26, SSB = 22, SSAB = 179. Set up the ANOVA table. (Round your values for mean squares and F to two decimal places, and your p-values to three decimal places.)
Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p - value |
Factor A | __________ | __________ | __________ | __________ | __________ |
Factor B | __________ | __________ | __________ | __________ | __________ |
Interaction | __________ | __________ | __________ | __________ | __________ |
Error | __________ | __________ | __________ | ||
Total | __________ | __________ |
Test for any significant main effects and any interaction effect. Use ? = 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:
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