Question

Assuming the same scale for the side-by-side box plots in A and B and that the means of Group 1 are the same, the means in Group 2 are the same, and that the means in Group 3 are the same across plots, which of the following statements are true. Select all that apply.

      
A will result in a larger p value for the one way ANOVA

       
B will result in a larger p value for the one way ANOVA

       
A will result in a larger F-statistic for the one way ANOVA

       
B will result in a larger F-statistic for the one way ANOVA

       
Since means are the same, the F-statistic and p-value will be the same.

Answer 1

If our means are same then if we trying to find out the whether there is significant difference in the average response between groups then there is no need to carry out the test because in this case our p value is almost 1.

But if wish to test whether there is significant difference between variance then in this case we carry out the test.

For the above problem

Last option is correct.

The means are same then it results the same F statistics and P value.

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