R version 4.4.0 beta (2024-04-14 r86421 ucrt) -- "Puppy Cup"
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> library(lme4)
Loading required package: Matrix
> 
> ## raw residuals for LMMs
> fm1 <- lmer(Reaction ~ Days + (Days|Subject), sleepstudy)
> stopifnot(all.equal(residuals(fm1),sleepstudy$Reaction-fitted(fm1)))
> 
> r1 <- residuals(fm1,type="pearson")
> 
> ## deviance/Pearson residuals for GLMMs
> gm1 <- glmer(cbind(incidence, size - incidence) ~ period + (1 | herd),
+              family = binomial, data = cbpp)
> p <- fitted(gm1)
> n <- cbpp$size
> v <- n*p*(1-p)
> obs_p <- cbpp$incidence/cbpp$size
> rp <- residuals(gm1,"pearson")
> rp1 <- (obs_p-p)/sqrt(p*(1-p))
> rp2 <- rp1*n
> ## FIXME:: restore this test
> ## stopifnot(all.equal(rp,rp2))
> 
> r2 <- residuals(gm1,type="deviance")
> 
> proc.time()
   user  system elapsed 
   1.09    0.20    1.28