Consider the following partially completed two-way ANOVA table. Suppose there ar

Question

Consider the following partially completed two-way ANOVA table. Suppose there are 2 levels of Factor A and 3 levels of Factor B. The number of replications per cell is 3. Use the .05 significance level. (Hint: estimate the values from the F table.)

1)

2)

Critical values to test for equal means are Factor A.........., Factor B............ and interaction .............. respectively

3)

There is (a difference or no difference) (a difference or no difference)  

4)

There is (no interaction or interaction)

Source SS df MS F Factor A 75 Factor B 25 Interaction 300 Error 600 Total 1000

Explanation / Answer

1) from above given information below is the ANOVA table:

2)

critical values to test for equal means for Factor A =4.75

factor B=3.89

for interaction =3.89

3)

There is  no difference  in Factor A and there is no difference in Factor B means

4)

There is no interaction

please revert for any clarification

Source SS df MS F F critical Factor A 75 1 75 1.5 4.75 Factor B 25 2 12.5 0.25 3.89 Interaction 300 2 150 3 3.89 Error 600 12 50 Total 1000 17

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