I am trying to recreate a PROC GLIMMIX command in R using glmer. Here is a link to the data (from SAS product support GLIMMIX documentation): https://support.sas.com/documentation/cdl/en/statug/63033/HTML/default/viewer.htm#statug_glimmix_a0000001403.htm
The SAS code is
proc glimmix data=multicenter;
class center group;
model sideeffect/n = group / solution;
random intercept / subject=center;
run;
The coefficients are:
Intercept: -0.8071
Group A : -0.4896
Group B: 0
Here is the R command, after swapping 1 and 0 in the sideeffect
column to align the defaults in R and SAS:
mt <- glmer(sideeffect/n ~ group + (1|center), data = test, family = binomial,
weights=n, control = glmerControl(optimizer = "bobyqa"), nAGQ = 10)
The coefficients are:
Intercept: 1.3379
Group B: -0.4966
The different coefficients are not concerning on their face, since I transformed the data. However, when I compute the associated probabilities, I get from SAS:
P(sideeffect | A) = 0.2147
P(sideeffect | B) = 0.3085
and from R:
P(sideeffect | A) = 0.2078556
P(sideeffect | B) = 0.3018929
These estimates have a discrepancy of approximately 2%. I know that R and SAS use slightly different approaches to the generalized linear models - is this enough to explain this discrepancy? If not, what should I do to get R to conform to the SAS code? I have seen an example online using different data where R code exactly replicated the SAS results: https://stat.ethz.ch/pipermail/r-sig-mixed-models/2010q3/004002.html