R Under development (unstable) (2024-08-15 r87022 ucrt) -- "Unsuffered Consequences"
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> #### Test special cases  for  ltsReg()
> 
> library(robustbase)
> 
> ## Platform - and other such info -- so we find it in old saved outputs
> .libPaths()
[1] "D:/temp/Rtmpqwxn25/RLIBS_25f981e5a4cf"
[2] "D:/RCompile/recent/R/library"         
> SysI <- Sys.info()
> structure(Sys.info()[c(4,5,1:3)], class="simple.list")
         _          
nodename CRANWIN3   
machine  x86-64     
sysname  Windows    
release  Server x64 
version  build 20348
> library(lib.loc = .libPaths()[1]) # the "R CMD check specific tmp-library"
> sessionInfo()
R Under development (unstable) (2024-08-15 r87022 ucrt)
Platform: x86_64-w64-mingw32/x64
Running under: Windows Server 2022 x64 (build 20348)

Matrix products: default


locale:
[1] LC_COLLATE=C                 LC_CTYPE=German_Germany.utf8
[3] LC_MONETARY=C                LC_NUMERIC=C                
[5] LC_TIME=C                   

time zone: Europe/Berlin
tzcode source: internal

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
[1] robustbase_0.99-4

loaded via a namespace (and not attached):
[1] DEoptimR_1.1-3 compiler_4.5.0
> c(robustbase = packageDescription("robustbase")$Built,
+   DEoptimR   = packageDescription("DEoptimR")$Built)
                                                     robustbase 
"R 4.5.0; x86_64-w64-mingw32; 2024-08-16 16:40:06 UTC; windows" 
                                                       DEoptimR 
                  "R 4.5.0; ; 2024-08-16 00:14:44 UTC; windows" 
> if(SysI[["sysname"]] == "Linux" && require("sfsmisc")) local({
+     nn <- names(.Sc <- sfsmisc::Sys.cpuinfo())
+     nn <- names(.Sc <- .Sc[nn != "flags"])
+     print(.Sc[grep("\\.[0-9]$", nn, invert=TRUE)])
+ })
> 
> ### 1) p = 1 ----------------------------------------------------
> set.seed(1)
> x <- c(rnorm(50),100, 1e10)
> (r1 <- ltsReg(x ~ 1)) # failed in Valentin's 1.0-3 (pre-version)

Call:
ltsReg.formula(formula = x ~ 1)

Coefficients:
[1]  0.1004

Scale estimate 0.9435 

> summary(r1)

Call:
ltsReg.formula(formula = x ~ 1)

Residuals (from reweighted LS):
    Min      1Q  Median      3Q     Max 
-2.0898 -0.3668  0.0000  0.6069  1.4948 

Coefficients:
     Estimate Std. Error t value Pr(>|t|)
[1,]   0.1004     0.1101   0.912    0.366

Residual standard error: 0.7707 on 48 degrees of freedom

> (r1. <- ltsReg(y = x))

Call:
ltsReg.default(y = x)

Coefficients:
[1]  0.1004

Scale estimate 0.9435 

> i1 <- 15:17; ii <- (1:20)[-i1]
> UN <- function(lis) lapply(lis, unname)
> dimnames(r1.$X)[1] <- dimnames(r1$X)[1]
> stopifnot(all.equal(   r1[ii],     r1.[ii],  tolerance= 1e-15),
+           all.equal(UN(r1[i1]), UN(r1.[i1]), tolerance= 1e-15))
> 
> ## intercept=FALSE, p > 1 -- coefficients were switched once
> n <- 100; theta <- c(x=10, x2=40)
> set.seed(7)
> X <- cbind(x = rt(n, 4), x2 = rnorm(n))
> dat <- data.frame(X, y = X %*% theta  + rt(n, df=3)/10)
> summary(M <- ltsReg(y ~ . -1, data = dat))

Call:
ltsReg.formula(formula = y ~ . - 1, data = dat)

Residuals (from reweighted LS):
      Min        1Q    Median        3Q       Max 
-0.287883 -0.047986  0.003272  0.083622  0.292822 

Coefficients:
    Estimate Std. Error t value Pr(>|t|)    
x   9.991585   0.008511    1174   <2e-16 ***
x2 40.011634   0.012009    3332   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 0.1167 on 90 degrees of freedom
Multiple R-Squared:     1,	Adjusted R-squared:     1 
F-statistic: 6.911e+06 on 2 and 90 DF,  p-value: < 2.2e-16 

> stopifnot(all.equal(coef(M), theta, tolerance = 1e-3))
> 
> ## with alpha = 1
> (r1.1 <- ltsReg(x ~ 1, alpha = 1))

Call:
ltsReg.formula(formula = x ~ 1, alpha = 1)

Coefficients:
[1]  2.059

Scale estimate 15.11 

> summary(r1.1)

Call:
ltsReg.formula(formula = x ~ 1, alpha = 1)

Residuals (from reweighted LS):
   Min     1Q Median     3Q    Max 
-4.274 -2.387 -1.803 -1.295  0.000 

Coefficients:
     Estimate Std. Error t value Pr(>|t|)    
[1,]   2.0593     0.3035   6.784 1.43e-08 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 2.146 on 49 degrees of freedom

> 
> ### 1b) p = 1, constant scale
> (rc <- ltsReg(y = rep(1,12)))

Call:
ltsReg.default(y = rep(1, 12))

Coefficients:
[1]  1

Scale estimate 0 

> str(rc)
List of 22
 $ method          : chr "Univariate location and scale estimation.\nMore than half of the data are equal!"
 $ best            : NULL
 $ coefficients    : num 1
 $ alpha           : num 0.5
 $ quan            : num 7
 $ raw.coefficients: num 1
 $ raw.resid       : num [1:12] NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN ...
 $ raw.weights     : num [1:12] 1 1 1 1 1 1 1 1 1 1 ...
 $ raw.scale       : num 0
 $ scale           : num 0
 $ crit            : num 0
 $ resid           : num [1:12] NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN ...
 $ rsquared        : num 0
 $ intercept       : logi TRUE
 $ lts.wt          : num [1:12] 1 1 1 1 1 1 1 1 1 1 ...
 $ residuals       : num [1:12] 0 0 0 0 0 0 0 0 0 0 ...
 $ fitted.values   : num [1:12] 1 1 1 1 1 1 1 1 1 1 ...
 $ Y               : num [1:12] 1 1 1 1 1 1 1 1 1 1 ...
 $ X               : num [1:12, 1] 1 1 1 1 1 1 1 1 1 1 ...
  ..- attr(*, "dimnames")=List of 2
  .. ..$ : NULL
  .. ..$ : NULL
 $ raw.cnp2        : num [1:2] 4.97 1.19
 $ cnp2            : num [1:2] 1 1
 $ call            : language ltsReg.default(y = rep(1, 12))
 - attr(*, "class")= chr "lts"
> summary(rc)

Call:
ltsReg.default(y = rep(1, 12))

Residuals (from reweighted LS):
   Min     1Q Median     3Q    Max 
     0      0      0      0      0 

Coefficients:
     Estimate Std. Error t value Pr(>|t|)    
[1,]        1          0     Inf   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 0 on 11 degrees of freedom

> ## with alpha = 1
> (rc1 <- ltsReg(y = rep(1,12), alpha = 1))

Call:
ltsReg.default(y = rep(1, 12), alpha = 1)

Coefficients:
[1]  1

Scale estimate 0 

> summary(rc1)

Call:
ltsReg.default(y = rep(1, 12), alpha = 1)

Residuals (from reweighted LS):
   Min     1Q Median     3Q    Max 
     0      0      0      0      0 

Coefficients:
     Estimate Std. Error t value Pr(>|t|)    
[1,]        1          0     Inf   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 0 on 11 degrees of freedom

> stopifnot(residuals(rc) == 0,  all.equal(unname(coef(rc )), 1),
+           residuals(rc1) == 0, all.equal(unname(coef(rc1)), 1))
> 
> ### 2)  alpha = 1 : classical estimates --- for general cases --------
> 
> 
> cat('Time elapsed: ', proc.time(),'\n') # for ``statistical reasons''
Time elapsed:  0.28 0.09 0.39 NA NA 
> 
> proc.time()
   user  system elapsed 
   0.28    0.09    0.39