Can anyone help me to understand why? Consider a two way ANOVA model with two factors, , of threc levels, and of two levels, with the following regression form: Yi=01i,22i,33i,24i,2i,25i,3i,2i where the typical definitions of the indicator variables hold (e.g., i,21 when the ith unit is in the second level of and i,20 otherwise). Suppose that there is, in fact, an interaction between factors. Then the mean of the response for units in the first level of the factor and the first level of the factor is: 1,11,11,1=0=0+4=045 There is not enough information about the nature of the interaction to answer this question..