The code and output below give me the interpretation that I want - i.e. the bottom two contrasts aren't significantly different but the third is different than the other two. How can I find the comparisons and p-values used for this comparison?
i.e. my goal is to test that contrast (1-2) @ target 3 is significantly smaller than the other two contrasts.
mod<-lmer(Mind_avg ~ MindType*Target + 1 + (1|Subject) + (1|Category),data=dat)
m3<-lsmeans(mod,~MindType|Target)
m3u<-update(pairs(m3,by="target"),by=NULL)
cld(m3u)
contrast Target estimate SE df t.ratio p.value .group
1 - 2 3 3.502885 1.020477 6521.04 3.433 0.0006 1
1 - 2 2 11.559040 1.022071 6521.00 11.309 <.0001 2
1 - 2 1 11.657720 1.016615 6521.00 11.467 <.0001 2