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 3 levels of Factor A and 2 levels of Factor B. The number of replications per cell is 4. Use the 0.05 significance level. (Hint: estimate the values from the F table.) Complete an ANOVA table. (Round MS and F to 2 decimal places.)

  

80

1. Find the critical values to test for equal means. (Round your answers to 2 decimal places.)

2. Determine if there is a significant difference in Factor A means, Factor B means.

3. Determine if there is a significant difference in interaction means.

Source SS DF MS F Factor A 100 Factor B

80

Interaction 210 Error 400 Total 790

Explanation / Answer

1) critical values are given in critical F column.

2) Factor A : test stat F is less then F critical. Therefore there is not significant difference in Factor A means

Factor B,  test stat F is less then F critical. Therefore there is not significant difference in Factor B means

3) Interaction: test stat F is greater then F critical. Therefore there is significant difference in interaction means.

Source SS DF MS F Critical F Factor A 100 2 50 2.25 3.5546 Factor B 80 1 80 3.6 4.4139 Interaction 210 2 105 4.725 3.5546 Error 400 18 22.22 Total 790 23

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