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In: Statistics and Probability

a. Tom designed a complete factorial experiment with 2 factors. One factor had 4 levels, the...

a. Tom designed a complete factorial experiment with 2 factors. One factor had 4 levels, the other had 5 levels. For each combination of levels of factors, there were 6 replicates. In the ANOVA table associated with this design, what were the degrees of freedom of the interaction?

a. 7, b. 12,   c. 20, d. 24, e. 30.

b. In the above ANOVA table of the complete factorial experiment, suppose we want to test the significance of the main effect of the factor with 4 levels. What is the distribution we use to calculate p-values?              

a. F(3, 100), b. F (4, 120),    c. F (4, 100), d. F (5, 100), e. F (5, 120).

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