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For the following question, how do we know that there is a main effect of A...

For the following question, how do we know that there is a main effect of A and why? Please provide context. In a line graph showing the results from a two-factor experiment, the levels of factor B are presented on the X-axis and separate lines are used to display the means for A1 and A2. If the points on the line for A1 are consistently five points higher than the corresponding point on the line for A2, what pattern of results is indicated?

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If for each of five points, the means of A1 are consistently higher than that of A2, then whatever the effect of B is, there are differences in means of A1 from A2. This actually indicates the mean effect of A and also indicate that there are no interaction effect. Else the difference between A1& A2 decreases or increases according to different values of B.

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