I am using the
lsmeans package for "post hoc" multiple comparisons and I read here: ANOVA - Do we need a global test before post hoc tests? that in general post hoc tests are valid even if the ANOVA result is not significant. The only exception is the protected Fisher Least Significant Difference (LSD) test. Would that be the case when using
lsmeans without p-value adjustment method? For example:
lsm <- lsmeans(Model, ~ Factor1) cld(lsm, type = "response", sort=FALSE, Letters=c("abcdefg"), adjust="None")
And models are glm-Models using binomial, negative binomial or poisson(or gaussian) distribution.