R version 4.4.0 beta (2024-04-14 r86421 ucrt) -- "Puppy Cup"
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> ## test for models containing data-defined bases
> 
> ## ?makepredictcall
> ## ?model.frame
> ## ????
> 
> data(sleepstudy,package="lme4")
> library(splines)
> 
> ## lm0 <- lm(Reaction~ns(Days,2),sleepstudy)
> ## attr(terms(lm0),"predvars")
> ## library(nlme)
> ## lme1 <- lme(Reaction~ns(Days,2),random=~1|Subject,sleepstudy)
> ## attr(terms(lme1),"predvars")  ## no!
> ## attr(lme1$terms,"predvars")   ## yes
> ## detach("package:nlme")
> 
> library(lme4)
Loading required package: Matrix
> fm1 <- lmer(Reaction ~ ns(Days,2) + (1|Subject), sleepstudy)
> fm2 <- lmer(Reaction ~ poly(Days,2) + (1|Subject), sleepstudy)
> fm3 <- lmer(Reaction ~ poly(Days,2,raw=TRUE) + (1|Subject), sleepstudy)
> 
> newdat0 <- data.frame(Days = unique(sleepstudy$Days))
> newdat  <- data.frame(Days = 5:12)
> tmpf <- function(fit) {
+     with(sleepstudy, {
+         plot  (Reaction~Days, xlim=c(0,12))
+         points(Days, predict(fit), col=2)
+     })
+     lines(newdat0$ Days, predict(fit,ReForm=NA,newdata=newdat0), col=4)
+     lines(newdat $ Days, predict(fit,ReForm=NA,newdata=newdat ), col=5)
+ }
> 
> stopifnot(all.equal(predict(fm2,newdat,ReForm=NA),
+                     predict(fm3,newdat,ReForm=NA)))
Warning messages:
1: 'ReForm' is deprecated; use 're.form' instead 
2: 'ReForm' is deprecated; use 're.form' instead 
> 
> ## pictures
> tmpf(fm1)
Warning messages:
1: 'ReForm' is deprecated; use 're.form' instead 
2: 'ReForm' is deprecated; use 're.form' instead 
> tmpf(fm2)
Warning messages:
1: 'ReForm' is deprecated; use 're.form' instead 
2: 'ReForm' is deprecated; use 're.form' instead 
> tmpf(fm3)
Warning messages:
1: 'ReForm' is deprecated; use 're.form' instead 
2: 'ReForm' is deprecated; use 're.form' instead 
> 
> ## test for GLMMs
> set.seed(101)
> d <- data.frame(y=rbinom(10,size=1,prob=0.5),
+                 x=1:10,
+                 f=factor(rep(1:5,each=2)))
> gm1 <- glmer(y ~ poly(x,2) + (1|f), d, family=binomial)
> gm2 <- glmer(y ~ poly(x,2,raw=TRUE) + (1|f), d, family=binomial)
> 
> newdat <- data.frame(x=c(1,4,6))
> stopifnot(all.equal(predict(gm1,newdat,ReForm=NA),
+                     predict(gm2,newdat,ReForm=NA),tolerance=3e-6))
Warning messages:
1: 'ReForm' is deprecated; use 're.form' instead 
2: 'ReForm' is deprecated; use 're.form' instead 
> 
> 
> proc.time()
   user  system elapsed 
   1.25    0.14    1.37