Question

# Consider a​ two-way ANOVA with two levels for factor​ A, four levels for factor​ B, and...

Consider a​ two-way ANOVA with two levels for factor​ A, four levels for factor​ B, and four replicates in each of the 88 ​cells, with SSA=25, SSB=30, SSE=120, and SST=280. Complete parts​ (a) through​ (d).

a) Form the ANOVA summary table and fill in all values in the body of the table.

b) At the 0.01 level of​ significance, is there an effect due to factor​ A?

c) At the 0.01 level of​ significance, is there an effect due to factor​ B?

d) At the 0.01 level of​ significance, is there an interaction​ effect?

a)

 Source SS df MS F p vlaue Factor A 25 1 25.00 5.71 0.0250 Factor B 30 3 10.00 2.29 0.1044 Interaction 120 3 40.00 9.14 0.0003 error 105 24 4.38 total 280 31

b)

as p value for factor A is higher than 0.01 ; effect due to factor​ A is not significant.

c)

as p value for factor B is higher than 0.01 ; effect due to factor​ B is not significant.

d)

as p value for interaction is lower than 0.01 ; effect due to interaction is significant.

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