Components of Interaction (2 of 3)

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In this comparison, the difference between B1 and B2 at A3 is compared with the average of the difference between B1 and B2 at A1 and the difference between B1 and B2 at A2:



The coefficients for the comparison can be determined by distributing the negative sign and rearranging the expression. The coefficients are:
A1B1: -0.5
A1B2:  0.5
A2B1: -0.5
A2B2:  0.5
A3B1:  1.0
A3B2: -1.0 
Once the coefficients for a component of the interaction are determined, the comparison is tested just like any other specific comparison among means.
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