I'm looking to calculate the Minimum Detectable Effect for a potential Difference-in-Differences design where treatment and control are assigned at the cluster level and my outcome at the individual level is dichotomous. To do this I'm working in R and using the clusterPower package, specifically I'm using the cpa.did.binary function. In the help file for this function it notes that d is "The expected absolute difference." I'm interpreting this as being a Minimum Detectable Effect, is that correct? If this is the MDE, is this output the expected difference in logits?
Thanks to anyone that can help. Alternatively, if you have a better package or way of calculating MDE that is also welcome.
# Input
cpa.did.binary(power = .8,
nclusters = 10,
nsubjects = 100,
p = .5,
d = NA,
ICC = .04,
rho_c = 0,
rho_s = 0)
# Output
> d
>0.2086531