# Creating new variables to measure main effects and interaction with MANOVA

I have a repeated measures design (all subjects were in all conditions) with 4 conditions and a dv that can take 4 values (0 - 3). It was suggested to me to analyze this as a MANOVA and define the dv to reflect the manipulations:

                Condition
Subject        Y(1,1)                Y(1,2)                Y(2,1)                Y(2,2)
1
2

n

define:

D1 = (Y(1,1)  + Y(1.2)  - Y(2,1)  - Y(2,2))
D2 = (Y(1,1)  -  Y(1.2) + Y(2,1)  - Y(2,2))
D3 = (Y(1,1)  - Y(1.2)  - Y(2,1)  + Y(2,2))


and run a MANOVA with these 3 variable (each of which can take values between - 6 to 6). The first and second variables test the two main effects and the 3rd tests the interaction.

I ran this analysis but am confused as to how to interpret the results. What do the different outcomes (-6 to 6) indicate about the groups?

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