I am conducting a linear mixed model with Treatment and Time as fixed effects and Subject as Random Effect. Some subjects are assigned to the Control group, other are assigned to the Treated Group. Every subject is measured in every time point. When running:
I get that: Time is significant, Treatment non-significant and interaction term non-significant. However, in the summary I find that interaction TreatedTime2 is significant. In that case, shouldn't the Anova show that the interaction term is overall significant?
I present a toy example to show the data structure. Individuals are s1,s2,s3,s4 for the Control Group; s5,s6,s7,s8 for the Treated Group.
|Control||10 ; 12 ; 18 ; 20||14 ; 18 ; 22 ; 25||20 ; 22 ; 24 ; 28|
|Treated||11 ; 14 ; 16 ; 23||20 ; 22 ; 31 ; 38||20 ; 21 ; 26 ; 23|