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

Question

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?

Consider a two-way ANOVA with four levels for factor A, three levels for factor B. and three replicates in each of the 12 cells. with SSA=90. SSB = 80. SSE = 120, and SST 470. Complete parts (a) through (d). a. Form the ANOVA summary table and fill in all values in the body of the table Degrees of Freedom Mean Square (Variance) Source Sum of Squares Error Total (Simplify your answers.)

Explanation / Answer

frm given data:

a)

b)

  At the 0.01 level of significance, is there an effect due to factor A: Yes (as p value is less than 0.01 level)

c)

  At the 0.01 level of significance, is there an effect due to factor B: Yes (as p value is less than 0.01 level)

d)

  At the 0.01 level of significance, is there an interaction effect: Yes (as p value is less than 0.01 level)

source df SS MS F p value A 3 90.0 30 6 0.0034 B 2 80.0 40 8 0.0022 AB 6 180.0 30 6 0.0006 error 24 120 5 total 35 470.0

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