R version 4.4.0 beta (2024-04-15 r86425 ucrt) -- "Puppy Cup"
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> 
> library("mlt")
Loading required package: basefun
Loading required package: variables
> library("sandwich")
> set.seed(29)
> options(digits = 5)
> 
> ### Nadja Klein
> dat <- data.frame(matrix(rnorm(300),ncol=3))
> names(dat) <- c("y","x1","x2")
> ### set-up conditional transformation model for conditional
> y <- numeric_var("y", support = c(min(dat$y), max(dat$y)), bounds = c(-Inf, Inf))
> x1 <- numeric_var("x1", support = c(min(dat$x1), max(dat$x1)), bounds = c(-Inf, Inf)) 
> x2 <- numeric_var("x2", support = c(min(dat$x2), max(dat$x2)), bounds = c(-Inf, Inf)) 
> ctmm2 <- ctm(response = Bernstein_basis(y, order = 4, ui = "increasing"),
+               interacting = c(x1=Bernstein_basis(x1, order = 3),
+                               x2=Bernstein_basis(x2, order= 3)))
> ### fit model
> mltm2 <- mlt(ctmm2, data = dat, scale = TRUE)
> round(p <- predict(mltm2, newdata = data.frame(x1=0, x2 = 0), q = mkgrid(mltm2, n = 10)[["y"]]), 2)
        
y         [,1]
  -2.43  -2.43
  -1.92  -1.78
   -1.4  -1.17
  -0.89  -0.61
  -0.375 -0.11
  0.139   0.33
  0.654   0.75
   1.17   1.19
   1.68   1.71
    2.2   2.41
> ### plot data
> plot(mltm2,newdata=expand.grid(x1=0:1, x2 = 0:1))
> 
> ### check update
> dist <- numeric_var("dist", support = c(2.0, 100), bounds = c(0, Inf))
> speed <- numeric_var("speed", support = c(5.0, 23), bounds = c(0, Inf)) 
> ctmm <- ctm(response = Bernstein_basis(dist, order = 4, ui = "increasing"),
+             interacting = Bernstein_basis(speed, order = 3))
> 
> m <- mlt(ctmm, data = cars)
> e <- estfun(m)
> w <- runif(nrow(cars)) < .8
> m1 <- update(m, weights = w, theta = coef(m))
> e1 <- estfun(m1, parm = coef(m))
> stopifnot(max(abs(e * w - e1)) < .Machine$double.eps)
> e1 <- estfun(m1)
> m2 <- mlt(ctmm, data = cars[w > 0,], theta = coef(m))
> stopifnot(isTRUE(all.equal(logLik(m1), logLik(m2))))
> stopifnot(isTRUE(all.equal(logLik(m1, coef(m2)), logLik(m2, coef(m1)))))
> e2 <- estfun(m2, parm = coef(m1))
> stopifnot(max(abs(e1[w > 0,] - e2)) < .Machine$double.eps)
> 
> ### Muriel Buri
> data("bodyfat", package = "TH.data")
> set.seed(29)
> 
> y <- numeric_var("DEXfat", support = c(15, 45), bounds = c(10, 64))
> basis_y <- Bernstein_basis(y, order = 2, ui = "incre")
> x <- names(bodyfat)[-2]
> xfm <- as.formula(paste("~", x, collapse = "+"))
> m <- ctm(basis_y, shift = xfm, data = bodyfat)
> mod <- mlt(m, data = bodyfat, scale = TRUE)
> summary(mod)

Call:
mlt(model = m, data = bodyfat, scale = TRUE)

Type:  continuous linear transformation model (transformed normal distribution)
Log-Likelihood: -171.14 (df = 12)

Coefficients: 30.951 38.885 42.523 -0.01508 -0.058906 -0.12136 -0.054061 -0.47698 -0.34424 -2.4143 -1.1319 0.36928

> 
> ### parm can be a matrix with subject-specific parameters
> parm <- matrix(coef(mod), nrow = 1L)
> parm <- parm[rep(1, NROW(bodyfat)),]
> all.equal(logLik(mod), logLik(mod, parm = parm))
[1] TRUE
> all.equal(estfun(mod), estfun(mod, parm = parm))
[1] TRUE
> 
> ### check for only left/right censoring before fitting
> y <- bodyfat$DEXfat
> sF <- rep(FALSE, length(y))
> library("survival")
> bodyfat$DEXfat <- Surv(y, sF)
> mod <- mlt(m, data = bodyfat, scale = TRUE)
Warning message:
In .checkR(y, weights) : response contains left-censored observations only
> mod$convergence
[1] 1
> 
> 
> ### just in case: check for new intercept_basis (basefun 0.0-39)
> d <- data.frame(y = rnorm(100, mean = 2, sd = .25))
> m <- ctm(as.basis(~ y, data = d, remove_intercept = TRUE, ui = matrix(1), ci = 0), 
+          shifting = intercept_basis(), todistr = "Normal")
> f <- mlt(m, data = d, scale = TRUE)
> 
> m2 <- ctm(as.basis(~ y, data = d, ui = matrix(c(0, 1), nr = 1), ci = 0), todistr = "Normal")
> f2 <- mlt(m2, data = d, scale = TRUE)
> stopifnot(all.equal(coef(f), coef(f2)[2:1], check.attributes = FALSE))
> stopifnot(all.equal(logLik(f), logLik(f2)))
> stopifnot(all.equal(estfun(f), estfun(f2)[,2:1], check.attributes = FALSE))
> 
> ### new shortcut
> x <- rnorm(100)
> stopifnot(all.equal(mlt:::.Normal()$dd2d(x), 
+                     mlt:::.Normal()$dd(x) / mlt:::.Normal()$d(x)))
> stopifnot(all.equal(mlt:::.Logistic()$dd2d(x), 
+                     mlt:::.Logistic()$dd(x) / mlt:::.Logistic()$d(x)))
> stopifnot(all.equal(mlt:::.MinExtrVal()$dd2d(x), 
+                     mlt:::.MinExtrVal()$dd(x) / mlt:::.MinExtrVal()$d(x)))
> 
> ### multiple fixed parameters
> y <- rnorm(100)
> x <- runif(100)
> d <- data.frame(y = y, x = x)
> m <- ctm(as.basis(~ y, data = d, ui = matrix(c(0, 1), nr = 1), ci = 0),
+          shifting = ~ x, data = d)
> cf <- coef(mlt(m, data = d, fixed = c("x" = 1, "(Intercept)" = .5)))
> stopifnot(all.equal(cf[c("(Intercept)", "x")], 
+                     c("(Intercept)" = .5, "x" = 1)))
> 
> ### by Balint Tamasi
> exact <- c(1, NA, NA)
> cleft <- c(NA, 2, -Inf)
> cright <- c(NA, Inf, 3)
> (resp <- R(exact, cleft = cleft, cright = cright))
[1]  1          (   2, Inf] (-Inf,   3]
> ### was not the same
> (surv <- as.Surv(resp))
[1] 1  2+ 3-
> 
> ### fixed but increasing parameters
> ### was always right in mlt() but test was missing
> dist <- numeric_var("dist", support = c(2.0, 100), bounds = c(0, Inf))
> speed <- numeric_var("speed", support = c(5.0, 23), bounds = c(0, Inf)) 
> ctmm <- ctm(response = Bernstein_basis(dist, order = 6, ui = "increasing"))
> m1 <- mlt(ctmm, data = cars)
> m2 <- mlt(ctmm, data = cars, fixed = coef(m1)[4])
> all.equal(c(logLik(m1)), c(logLik(m2)))
[1] TRUE
> 
> proc.time()
   user  system elapsed 
   1.40    0.25    1.64