From 97799e9ca4bbc5c834f80c97139194e5c5a902c8 Mon Sep 17 00:00:00 2001
From: dj44vuri <julian.sagebiel@idiv.de>
Date: Mon, 22 Jan 2024 23:27:12 +0100
Subject: [PATCH] example works now

---
 .gitignore                       |   2 +-
 README.Rmd                       | 104 ++++
 README.md                        | 979 +++++++++++--------------------
 man/figures/README-example-1.png | Bin 36469 -> 54554 bytes
 man/figures/README-example-2.png | Bin 46248 -> 47404 bytes
 man/figures/README-example-3.png | Bin 31206 -> 54111 bytes
 6 files changed, 462 insertions(+), 623 deletions(-)
 create mode 100644 README.Rmd

diff --git a/.gitignore b/.gitignore
index a331156..91ecf02 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,3 +1,3 @@
 .Rproj.user
 .Rhistory
-README.rmd
+
diff --git a/README.Rmd b/README.Rmd
new file mode 100644
index 0000000..dfc2f66
--- /dev/null
+++ b/README.Rmd
@@ -0,0 +1,104 @@
+---
+output: github_document
+---
+
+<!-- README.md is generated from README.Rmd. Please edit that file -->
+
+```{r options, include = FALSE}
+knitr::opts_chunk$set(
+  collapse = TRUE,
+  comment = "#>",
+  fig.path = "man/figures/README-",
+  out.width = "100%"
+)
+```
+
+# simulateDCE
+
+<!-- badges: start -->
+
+<!-- badges: end -->
+
+The goal of simulateDCE is to make it easy to simulate choice experiment datasets using designs from NGENE or `spdesign`. You have to store the design file in a subfolder and need to specify certain parameters and the utility functions for the data generating process. The package is useful for
+
+1.  Test different designs in terms of statistical power, efficiency and unbiasedness
+
+2.  To test the effects of deviations from RUM, e.g. heuristics, on model performance for different designs.
+
+3.  In teaching, using simulated data is useful, if you want to know the data generating process. It helps to demonstrate Maximum likelihood and choice models, knowing exactly what you should expect.
+
+4.  You can use simulation in pre-registration to justify your sample size and design choice.
+
+5.  Before data collection, you can use simulated data to estimate the models you plan to use in the actual analysis. You can thus make sure, you can estimate all effects for given sample sizes.
+
+## Installation
+
+You can install the development version of simulateDCE from gitlab. You need to install the `remotes` package first. The current version is alpha and there is no version on cran:
+
+``` r
+
+install.packages("remotes")
+remotes::install_gitlab(repo = "dj44vuri/simulateDCE" , host = "https://git.idiv.de")
+```
+
+## Example
+
+This is a basic example for a simulation:
+
+```{r example}
+ library(simulateDCE)
+library(rlang)
+library(formula.tools)
+
+# Designpath indicates the folder where all designs that should be simulated are stored. Can be either ngd files (for NGENE) or R objects for spdesign)
+designpath<- system.file("extdata","SE_DRIVE" ,package = "simulateDCE")
+
+# on your computer, it would be something like
+# designpath <- "c:/myfancyDCE/Designs"
+
+
+# number of respondents
+resps =120
+
+# number of simulations to run (about 200 is minimum if you want to be serious -- but it takes some time. always test your code with 2 simulations, and if it runs smoothly, go for more.)
+nosim= 2 
+
+# If you want to use different groups of respondents, use this. The following line means that you have one group of 70% size and one group of 30% size
+decisiongroups=c(0,0.7,1)
+
+# set the values of the parameters you want to use in the simulation
+bpreis = -0.01
+blade = -0.07
+bwarte = 0.02
+
+# If you want to do some manipulations in the design before you simulate, add a list called manipulations. Here, we devide some attributes by 10
+
+manipulations = list(alt1.x2=     expr(alt1.x2/10),
+                     alt1.x3=     expr(alt1.x3/10),
+                     alt2.x2=     expr(alt2.x2/10),
+                     alt2.x3=     expr(alt2.x3/10)
+)
+
+
+#place your utility functions here. We have two utility functions and two sets of utility functions. This is because we assume that 70% act according to the utility u1 and 30% act to the utility u2 (that is, they only decide according to the price and ignore the other attributes)
+u<-list( u1 =
+
+           list(
+             v1 =V.1~  bpreis * alt1.x1 + blade*alt1.x2 + bwarte*alt1.x3   ,
+             v2 =V.2~  bpreis * alt2.x1 + blade*alt2.x2 + bwarte*alt2.x3
+           )
+
+         ,
+         u2 = list(  v1 =V.1~  bpreis * alt1.x1    ,
+                     v2 =V.2~  bpreis * alt2.x1)
+
+)
+
+# specify the designtype "ngene" or "spdesign"
+destype="ngene"
+
+
+#lets go
+sedrive <- sim_all()
+
+```
diff --git a/README.md b/README.md
index 42e8da0..6a4f6b2 100644
--- a/README.md
+++ b/README.md
@@ -36,25 +36,25 @@ need to install the `remotes` package first. The current version is
 alpha and there is no version on cran:
 
 ``` r
-# FILL THIS IN! HOW CAN PEOPLE INSTALL YOUR DEV PACKAGE?
 install.packages("remotes")
 remotes::install_gitlab(repo = "dj44vuri/simulateDCE" , host = "https://git.idiv.de")
 ```
 
 ## Example
 
-This is a basic example which shows you how to solve a common problem:
+This is a basic example for a simulation:
 
 ``` r
  library(simulateDCE)
 library(rlang)
+library(formula.tools)
+#> 
+#> Attaching package: 'formula.tools'
+#> The following object is masked from 'package:rlang':
+#> 
+#>     env
 
-print("lests")
-#> [1] "lests"
-
-#set.seed(22233)
-
-# Designpath indicates the folder where all designs that should be simulated are stored. Can be either ngd files (for NGENE) or Robjects for spdesign)
+# Designpath indicates the folder where all designs that should be simulated are stored. Can be either ngd files (for NGENE) or R objects for spdesign)
 designpath<- system.file("extdata","SE_DRIVE" ,package = "simulateDCE")
 
 # on your computer, it would be something like
@@ -103,7 +103,7 @@ destype="ngene"
 
 
 #lets go
-sedrive <- simulateDCE::sim_all()
+sedrive <- sim_all()
 #> Utility function used in simulation, ie the true utility: 
 #> 
 #> $u1
@@ -126,12 +126,10 @@ sedrive <- simulateDCE::sim_all()
 #> 
 #> [1] "U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;"
 #> New names:
-#> • `Choice situation` ->
-#>   `Choice.situation`
+#> • `Choice situation` -> `Choice.situation`
 #> • `` -> `...10`
-#> Warning: One or more parsing issues, call
-#> `problems()` on your data frame for
-#> details, e.g.:
+#> Warning: One or more parsing issues, call `problems()` on your data frame for details,
+#> e.g.:
 #>   dat <- vroom(...)
 #>   problems(dat)
 #>  
@@ -146,34 +144,20 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation alt1_x1 alt1_x2
-#> 1  1                7      80     2.5
-#> 2  1               19      20     2.5
-#> 3  1               30      20    10.0
-#> 4  1               32      40    20.0
-#> 5  1               39      40    20.0
-#> 6  1               48      60     5.0
-#>   alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
-#> 1    10.0      60    20.0      10     1
-#> 2     5.0      60     2.5       0     1
-#> 3     5.0      80     5.0      10     1
-#> 4     2.5      80     2.5       0     1
-#> 5     0.0      80    10.0      10     1
-#> 6     2.5      20     5.0      10     1
-#>   group    V_1    V_2        e_1
-#> 1     1 -0.775 -1.800  2.8927045
-#> 2     1 -0.275 -0.775  2.1129458
-#> 3     1 -0.800 -0.950 -0.3070059
-#> 4     1 -1.750 -0.975  0.2125815
-#> 5     1 -1.800 -1.300  0.5101632
-#> 6     1 -0.900 -0.350 -0.9494807
-#>           e_2       U_1       U_2 CHOICE
-#> 1  0.09958433  2.117705 -1.700416      1
-#> 2  3.47451776  1.837946  2.699518      2
-#> 3 -0.28860974 -1.107006 -1.238610      1
-#> 4  3.65240491 -1.537418  2.677405      2
-#> 5 -0.14448942 -1.289837 -1.444489      1
-#> 6 -1.04296995 -1.849481 -1.392970      2
+#>    ID Choice_situation alt1_x1 alt1_x2 alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
+#> 1  1                7      80     2.5    10.0      60    20.0      10     1
+#> 2  1               19      20     2.5     5.0      60     2.5       0     1
+#> 3  1               30      20    10.0     5.0      80     5.0      10     1
+#> 4  1               32      40    20.0     2.5      80     2.5       0     1
+#> 5  1               39      40    20.0     0.0      80    10.0      10     1
+#> 6  1               48      60     5.0     2.5      20     5.0      10     1
+#>   group    V_1    V_2        e_1        e_2        U_1        U_2 CHOICE
+#> 1     1 -0.775 -1.800  2.1016946  2.7841271  1.3266946  0.9841271      1
+#> 2     1 -0.275 -0.775 -1.5595593  0.9636286 -1.8345593  0.1886286      2
+#> 3     1 -0.800 -0.950  0.9803524 -0.1170033  0.1803524 -1.0670033      1
+#> 4     1 -1.750 -0.975 -0.9363311 -0.2117177 -2.6863311 -1.1867177      2
+#> 5     1 -1.800 -1.300  0.2762203  2.7548043 -1.5237797  1.4548043      2
+#> 6     1 -0.900 -0.350  1.3557159  0.7504347  0.4557159  0.4004347      1
 #> 
 #>  
 #>  This is Run number  1 
@@ -188,51 +172,36 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation alt1_x1 alt1_x2
-#> 1  1                7      80     2.5
-#> 2  1               19      20     2.5
-#> 3  1               30      20    10.0
-#> 4  1               32      40    20.0
-#> 5  1               39      40    20.0
-#> 6  1               48      60     5.0
-#>   alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
-#> 1    10.0      60    20.0      10     1
-#> 2     5.0      60     2.5       0     1
-#> 3     5.0      80     5.0      10     1
-#> 4     2.5      80     2.5       0     1
-#> 5     0.0      80    10.0      10     1
-#> 6     2.5      20     5.0      10     1
-#>   group    V_1    V_2         e_1
-#> 1     1 -0.775 -1.800 -0.06362638
-#> 2     1 -0.275 -0.775 -0.81571577
-#> 3     1 -0.800 -0.950 -1.09388352
-#> 4     1 -1.750 -0.975  0.28996875
-#> 5     1 -1.800 -1.300  1.03059224
-#> 6     1 -0.900 -0.350 -1.10504379
-#>         e_2        U_1        U_2 CHOICE
-#> 1 0.1958595 -0.8386264 -1.6041405      1
-#> 2 0.1028995 -1.0907158 -0.6721005      2
-#> 3 0.7165451 -1.8938835 -0.2334549      2
-#> 4 1.4748351 -1.4600313  0.4998351      2
-#> 5 4.5718398 -0.7694078  3.2718398      2
-#> 6 0.8766732 -2.0050438  0.5266732      2
+#>    ID Choice_situation alt1_x1 alt1_x2 alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
+#> 1  1                7      80     2.5    10.0      60    20.0      10     1
+#> 2  1               19      20     2.5     5.0      60     2.5       0     1
+#> 3  1               30      20    10.0     5.0      80     5.0      10     1
+#> 4  1               32      40    20.0     2.5      80     2.5       0     1
+#> 5  1               39      40    20.0     0.0      80    10.0      10     1
+#> 6  1               48      60     5.0     2.5      20     5.0      10     1
+#>   group    V_1    V_2         e_1         e_2        U_1        U_2 CHOICE
+#> 1     1 -0.775 -1.800 -0.40273624 -0.10075471 -1.1777362 -1.9007547      1
+#> 2     1 -0.275 -0.775  0.48834933  1.92667239  0.2133493  1.1516724      2
+#> 3     1 -0.800 -0.950  2.11775049 -0.36980424  1.3177505 -1.3198042      1
+#> 4     1 -1.750 -0.975 -0.21469434 -0.05134613 -1.9646943 -1.0263461      2
+#> 5     1 -1.800 -1.300  1.66727931  1.79712166 -0.1327207  0.4971217      2
+#> 6     1 -0.900 -0.350 -0.01714569  1.40783581 -0.9171457  1.0578358      2
 #> 
 #>  
 #>  This is the utility functions 
 #>  U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;Initial function value: -998.1319 
 #> Initial gradient value:
-#>  bpreis   blade  bwarte 
-#>  -860.0 -1147.5   532.5 
+#> bpreis  blade bwarte 
+#> -920.0 -992.5  605.0 
 #> initial  value 998.131940 
-#> iter   2 value 988.178813
-#> iter   3 value 959.683236
-#> iter   4 value 959.648380
-#> iter   5 value 955.999179
-#> iter   6 value 955.979330
-#> iter   7 value 955.979295
-#> iter   7 value 955.979295
-#> iter   7 value 955.979295
-#> final  value 955.979295 
+#> iter   2 value 994.367289
+#> iter   3 value 965.312071
+#> iter   4 value 964.856191
+#> iter   5 value 960.956078
+#> iter   6 value 960.938761
+#> iter   6 value 960.938748
+#> iter   6 value 960.938748
+#> final  value 960.938748 
 #> converged
 #> This is Run number  2 
 #>  does sou_gis exist:  FALSE 
@@ -246,69 +215,49 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation alt1_x1 alt1_x2
-#> 1  1                7      80     2.5
-#> 2  1               19      20     2.5
-#> 3  1               30      20    10.0
-#> 4  1               32      40    20.0
-#> 5  1               39      40    20.0
-#> 6  1               48      60     5.0
-#>   alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
-#> 1    10.0      60    20.0      10     1
-#> 2     5.0      60     2.5       0     1
-#> 3     5.0      80     5.0      10     1
-#> 4     2.5      80     2.5       0     1
-#> 5     0.0      80    10.0      10     1
-#> 6     2.5      20     5.0      10     1
-#>   group    V_1    V_2        e_1
-#> 1     1 -0.775 -1.800 -0.8816771
-#> 2     1 -0.275 -0.775  0.9004269
-#> 3     1 -0.800 -0.950 -0.3108731
-#> 4     1 -1.750 -0.975 -0.7695269
-#> 5     1 -1.800 -1.300  2.8853455
-#> 6     1 -0.900 -0.350 -0.1098324
-#>          e_2        U_1         U_2
-#> 1  0.6516580 -1.6566771 -1.14834197
-#> 2  0.4584193  0.6254269 -0.31658066
-#> 3  1.2184928 -1.1108731  0.26849278
-#> 4 -0.1660211 -2.5195269 -1.14102109
-#> 5 -0.5943992  1.0853455 -1.89439922
-#> 6  0.3193140 -1.0098324 -0.03068595
-#>   CHOICE
-#> 1      2
-#> 2      1
-#> 3      2
-#> 4      2
-#> 5      1
-#> 6      2
+#>    ID Choice_situation alt1_x1 alt1_x2 alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
+#> 1  1                7      80     2.5    10.0      60    20.0      10     1
+#> 2  1               19      20     2.5     5.0      60     2.5       0     1
+#> 3  1               30      20    10.0     5.0      80     5.0      10     1
+#> 4  1               32      40    20.0     2.5      80     2.5       0     1
+#> 5  1               39      40    20.0     0.0      80    10.0      10     1
+#> 6  1               48      60     5.0     2.5      20     5.0      10     1
+#>   group    V_1    V_2        e_1        e_2        U_1        U_2 CHOICE
+#> 1     1 -0.775 -1.800 -0.5753867  1.1246768 -1.3503867 -0.6753232      2
+#> 2     1 -0.275 -0.775  0.9246181 -0.7283475  0.6496181 -1.5033475      1
+#> 3     1 -0.800 -0.950  1.6224900 -0.8607449  0.8224900 -1.8107449      1
+#> 4     1 -1.750 -0.975 -0.6271373 -0.9882054 -2.3771373 -1.9632054      2
+#> 5     1 -1.800 -1.300  2.4317376  0.4448995  0.6317376 -0.8551005      1
+#> 6     1 -0.900 -0.350  0.7924767 -0.6407351 -0.1075233 -0.9907351      1
 #> 
 #>  
 #>  This is the utility functions 
 #>  U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;Initial function value: -998.1319 
 #> Initial gradient value:
 #> bpreis  blade bwarte 
-#>    120   -655    295 
+#>  -1740   -650    400 
 #> initial  value 998.131940 
-#> iter   2 value 994.305298
-#> iter   3 value 990.053293
-#> iter   4 value 989.940656
-#> iter   5 value 987.629292
-#> iter   6 value 987.628992
-#> iter   6 value 987.628991
-#> iter   6 value 987.628991
-#> final  value 987.628991 
+#> iter   2 value 992.981264
+#> iter   3 value 992.638207
+#> iter   4 value 992.633735
+#> iter   5 value 973.931212
+#> iter   6 value 972.829429
+#> iter   7 value 972.824075
+#> iter   7 value 972.824073
+#> iter   7 value 972.824073
+#> final  value 972.824073 
 #> converged
 #> 
 #> 
 #> ================  ====  ===  =====  ====  =====  =====  =====  ====
 #> \                 vars    n   mean    sd    min    max  range    se
 #> ================  ====  ===  =====  ====  =====  =====  =====  ====
-#> est_bpreis           1    2  -0.01  0.01  -0.01   0.00   0.01  0.00
-#> est_blade            2    2  -0.04  0.02  -0.06  -0.02   0.03  0.02
-#> est_bwarte           3    2   0.02  0.00   0.02   0.03   0.01  0.00
-#> rob_pval0_bpreis     4    2   0.04  0.06   0.00   0.09   0.09  0.04
+#> est_bpreis           1    2  -0.01  0.00  -0.01  -0.01   0.00  0.00
+#> est_blade            2    2  -0.04  0.00  -0.05  -0.04   0.00  0.00
+#> est_bwarte           3    2   0.02  0.02   0.01   0.04   0.02  0.01
+#> rob_pval0_bpreis     4    2   0.00  0.00   0.00   0.00   0.00  0.00
 #> rob_pval0_blade      5    2   0.00  0.00   0.00   0.00   0.00  0.00
-#> rob_pval0_bwarte     6    2   0.04  0.03   0.02   0.06   0.04  0.02
+#> rob_pval0_bwarte     6    2   0.12  0.16   0.00   0.23   0.23  0.11
 #> ================  ====  ===  =====  ====  =====  =====  =====  ====
 #> 
 #> FALSE  TRUE 
@@ -335,12 +284,10 @@ sedrive <- simulateDCE::sim_all()
 #> 
 #> [1] "U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;"
 #> New names:
-#> • `Choice situation` ->
-#>   `Choice.situation`
+#> • `Choice situation` -> `Choice.situation`
 #> • `` -> `...10`
-#> Warning: One or more parsing issues, call
-#> `problems()` on your data frame for
-#> details, e.g.:
+#> Warning: One or more parsing issues, call `problems()` on your data frame for details,
+#> e.g.:
 #>   dat <- vroom(...)
 #>   problems(dat)
 #>  
@@ -355,41 +302,20 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation alt1_x1 alt1_x2
-#> 1  1               12      60     2.5
-#> 2  1               16      20    10.0
-#> 3  1               17      20    20.0
-#> 4  1               25      60     5.0
-#> 5  1               29      20     5.0
-#> 6  1               32      40    10.0
-#>   alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
-#> 1     0.0      20    20.0      10     1
-#> 2     5.0      40     5.0       0     1
-#> 3     0.0      80    10.0      10     1
-#> 4    10.0      20    20.0       5     1
-#> 5    10.0      80     5.0       0     1
-#> 6     2.5      80     2.5       5     1
-#>   group    V_1    V_2         e_1
-#> 1     1 -0.775 -1.400  1.20580231
-#> 2     1 -0.800 -0.750 -0.72752412
-#> 3     1 -1.600 -1.300 -0.05762304
-#> 4     1 -0.750 -1.500 -0.83547157
-#> 5     1 -0.350 -1.150  3.85444600
-#> 6     1 -1.050 -0.875  1.64701776
-#>           e_2        U_1        U_2
-#> 1 -0.28691332  0.4308023 -1.6869133
-#> 2  0.06648158 -1.5275241 -0.6835184
-#> 3  1.68916541 -1.6576230  0.3891654
-#> 4  0.40357792 -1.5854716 -1.0964221
-#> 5  0.13880669  3.5044460 -1.0111933
-#> 6  1.09745093  0.5970178  0.2224509
-#>   CHOICE
-#> 1      1
-#> 2      2
-#> 3      2
-#> 4      2
-#> 5      1
-#> 6      1
+#>    ID Choice_situation alt1_x1 alt1_x2 alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
+#> 1  1               12      60     2.5     0.0      20    20.0      10     1
+#> 2  1               16      20    10.0     5.0      40     5.0       0     1
+#> 3  1               17      20    20.0     0.0      80    10.0      10     1
+#> 4  1               25      60     5.0    10.0      20    20.0       5     1
+#> 5  1               29      20     5.0    10.0      80     5.0       0     1
+#> 6  1               32      40    10.0     2.5      80     2.5       5     1
+#>   group    V_1    V_2        e_1        e_2         U_1        U_2 CHOICE
+#> 1     1 -0.775 -1.400  0.4766761  0.2671861 -0.29832392 -1.1328139      1
+#> 2     1 -0.800 -0.750  1.5938385  3.8773811  0.79383850  3.1273811      2
+#> 3     1 -1.600 -1.300  1.3023142  0.4975025 -0.29768579 -0.8024975      1
+#> 4     1 -0.750 -1.500  0.6538038  1.3130123 -0.09619617 -0.1869877      1
+#> 5     1 -0.350 -1.150  1.1097526 -0.4923369  0.75975258 -1.6423369      1
+#> 6     1 -1.050 -0.875 -0.3331011 -0.3042609 -1.38310109 -1.1792609      2
 #> 
 #>  
 #>  This is Run number  1 
@@ -404,57 +330,37 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation alt1_x1 alt1_x2
-#> 1  1               12      60     2.5
-#> 2  1               16      20    10.0
-#> 3  1               17      20    20.0
-#> 4  1               25      60     5.0
-#> 5  1               29      20     5.0
-#> 6  1               32      40    10.0
-#>   alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
-#> 1     0.0      20    20.0      10     1
-#> 2     5.0      40     5.0       0     1
-#> 3     0.0      80    10.0      10     1
-#> 4    10.0      20    20.0       5     1
-#> 5    10.0      80     5.0       0     1
-#> 6     2.5      80     2.5       5     1
-#>   group    V_1    V_2         e_1
-#> 1     1 -0.775 -1.400 -0.09932726
-#> 2     1 -0.800 -0.750  2.18018219
-#> 3     1 -1.600 -1.300  1.30134429
-#> 4     1 -0.750 -1.500  1.55197796
-#> 5     1 -0.350 -1.150  0.07874983
-#> 6     1 -1.050 -0.875 -1.06565108
-#>          e_2        U_1         U_2
-#> 1  2.2497903 -0.8743273  0.84979034
-#> 2  0.3329742  1.3801822 -0.41702578
-#> 3  0.9046182 -0.2986557 -0.39538182
-#> 4 -1.2414809  0.8019780 -2.74148090
-#> 5 -0.8624243 -0.2712502 -2.01242427
-#> 6  0.9398788 -2.1156511  0.06487882
-#>   CHOICE
-#> 1      2
-#> 2      1
-#> 3      1
-#> 4      1
-#> 5      1
-#> 6      2
+#>    ID Choice_situation alt1_x1 alt1_x2 alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
+#> 1  1               12      60     2.5     0.0      20    20.0      10     1
+#> 2  1               16      20    10.0     5.0      40     5.0       0     1
+#> 3  1               17      20    20.0     0.0      80    10.0      10     1
+#> 4  1               25      60     5.0    10.0      20    20.0       5     1
+#> 5  1               29      20     5.0    10.0      80     5.0       0     1
+#> 6  1               32      40    10.0     2.5      80     2.5       5     1
+#>   group    V_1    V_2        e_1        e_2        U_1        U_2 CHOICE
+#> 1     1 -0.775 -1.400 -0.1853781  5.5643363 -0.9603781  4.1643363      2
+#> 2     1 -0.800 -0.750  0.4194371 -0.8106381 -0.3805629 -1.5606381      1
+#> 3     1 -1.600 -1.300  0.3558603  0.6710868 -1.2441397 -0.6289132      2
+#> 4     1 -0.750 -1.500  1.6643355  0.1201793  0.9143355 -1.3798207      1
+#> 5     1 -0.350 -1.150 -1.0250955  1.4973893 -1.3750955  0.3473893      2
+#> 6     1 -1.050 -0.875  0.5258572  1.4751937 -0.5241428  0.6001937      2
 #> 
 #>  
 #>  This is the utility functions 
 #>  U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;Initial function value: -998.1319 
 #> Initial gradient value:
-#> bpreis  blade bwarte 
-#>   -340  -1095    305 
+#>  bpreis   blade  bwarte 
+#> -2160.0  -795.0   397.5 
 #> initial  value 998.131940 
-#> iter   2 value 984.073383
-#> iter   3 value 978.081615
-#> iter   4 value 977.767304
-#> iter   5 value 971.033395
-#> iter   6 value 971.027390
-#> iter   6 value 971.027385
-#> iter   6 value 971.027385
-#> final  value 971.027385 
+#> iter   2 value 990.951216
+#> iter   3 value 973.839132
+#> iter   4 value 973.439833
+#> iter   5 value 965.450645
+#> iter   6 value 965.442009
+#> iter   7 value 965.441990
+#> iter   7 value 965.441990
+#> iter   7 value 965.441990
+#> final  value 965.441990 
 #> converged
 #> This is Run number  2 
 #>  does sou_gis exist:  FALSE 
@@ -468,50 +374,37 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation alt1_x1 alt1_x2
-#> 1  1               12      60     2.5
-#> 2  1               16      20    10.0
-#> 3  1               17      20    20.0
-#> 4  1               25      60     5.0
-#> 5  1               29      20     5.0
-#> 6  1               32      40    10.0
-#>   alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
-#> 1     0.0      20    20.0      10     1
-#> 2     5.0      40     5.0       0     1
-#> 3     0.0      80    10.0      10     1
-#> 4    10.0      20    20.0       5     1
-#> 5    10.0      80     5.0       0     1
-#> 6     2.5      80     2.5       5     1
-#>   group    V_1    V_2         e_1
-#> 1     1 -0.775 -1.400  0.44334136
-#> 2     1 -0.800 -0.750 -0.43185157
-#> 3     1 -1.600 -1.300 -0.09584172
-#> 4     1 -0.750 -1.500  2.74658736
-#> 5     1 -0.350 -1.150 -0.51575280
-#> 6     1 -1.050 -0.875 -0.33088933
-#>         e_2        U_1        U_2 CHOICE
-#> 1 0.3975165 -0.3316586 -1.0024835      1
-#> 2 1.4211569 -1.2318516  0.6711569      2
-#> 3 1.0034880 -1.6958417 -0.2965120      2
-#> 4 0.8780181  1.9965874 -0.6219819      1
-#> 5 0.9818505 -0.8657528 -0.1681495      2
-#> 6 1.7042698 -1.3808893  0.8292698      2
+#>    ID Choice_situation alt1_x1 alt1_x2 alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
+#> 1  1               12      60     2.5     0.0      20    20.0      10     1
+#> 2  1               16      20    10.0     5.0      40     5.0       0     1
+#> 3  1               17      20    20.0     0.0      80    10.0      10     1
+#> 4  1               25      60     5.0    10.0      20    20.0       5     1
+#> 5  1               29      20     5.0    10.0      80     5.0       0     1
+#> 6  1               32      40    10.0     2.5      80     2.5       5     1
+#>   group    V_1    V_2          e_1        e_2        U_1        U_2 CHOICE
+#> 1     1 -0.775 -1.400  0.649258598 -0.6307138 -0.1257414 -2.0307138      1
+#> 2     1 -0.800 -0.750  0.223937357  3.6350297 -0.5760626  2.8850297      2
+#> 3     1 -1.600 -1.300  0.725491030 -0.9744697 -0.8745090 -2.2744697      1
+#> 4     1 -0.750 -1.500 -0.003168789 -1.2301114 -0.7531688 -2.7301114      1
+#> 5     1 -0.350 -1.150  2.699417707 -1.0402518  2.3494177 -2.1902518      1
+#> 6     1 -1.050 -0.875 -0.294873234  0.5681585 -1.3448732 -0.3068415      2
 #> 
 #>  
 #>  This is the utility functions 
 #>  U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;Initial function value: -998.1319 
 #> Initial gradient value:
 #> bpreis  blade bwarte 
-#>   -280   -905    345 
+#>   -780  -1135    595 
 #> initial  value 998.131940 
-#> iter   2 value 988.003109
-#> iter   3 value 983.732741
-#> iter   4 value 983.724196
-#> iter   5 value 979.048736
-#> iter   6 value 979.044949
-#> iter   6 value 979.044947
-#> iter   6 value 979.044947
-#> final  value 979.044947 
+#> iter   2 value 987.994441
+#> iter   3 value 971.376969
+#> iter   4 value 971.238977
+#> iter   5 value 961.110685
+#> iter   6 value 961.070507
+#> iter   7 value 961.070355
+#> iter   7 value 961.070355
+#> iter   7 value 961.070355
+#> final  value 961.070355 
 #> converged
 #> 
 #> 
@@ -519,15 +412,15 @@ sedrive <- simulateDCE::sim_all()
 #> \                 vars    n   mean    sd    min    max  range    se
 #> ================  ====  ===  =====  ====  =====  =====  =====  ====
 #> est_bpreis           1    2  -0.01  0.00  -0.01  -0.01   0.00  0.00
-#> est_blade            2    2  -0.04  0.01  -0.05  -0.04   0.01  0.01
-#> est_bwarte           3    2   0.01  0.01   0.00   0.01   0.01  0.00
+#> est_blade            2    2  -0.05  0.00  -0.05  -0.05   0.00  0.00
+#> est_bwarte           3    2   0.01  0.02   0.00   0.03   0.03  0.01
 #> rob_pval0_bpreis     4    2   0.00  0.00   0.00   0.00   0.00  0.00
 #> rob_pval0_blade      5    2   0.00  0.00   0.00   0.00   0.00  0.00
-#> rob_pval0_bwarte     6    2   0.50  0.41   0.21   0.79   0.58  0.29
+#> rob_pval0_bwarte     6    2   0.44  0.60   0.01   0.86   0.85  0.42
 #> ================  ====  ===  =====  ====  =====  =====  =====  ====
 #> 
-#> FALSE 
-#>   100 
+#> FALSE  TRUE 
+#>    50    50 
 #> Utility function used in simulation, ie the true utility: 
 #> 
 #> $u1
@@ -550,12 +443,10 @@ sedrive <- simulateDCE::sim_all()
 #> 
 #> [1] "U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;"
 #> New names:
-#> • `Choice situation` ->
-#>   `Choice.situation`
+#> • `Choice situation` -> `Choice.situation`
 #> • `` -> `...10`
-#> Warning: One or more parsing issues, call
-#> `problems()` on your data frame for
-#> details, e.g.:
+#> Warning: One or more parsing issues, call `problems()` on your data frame for details,
+#> e.g.:
 #>   dat <- vroom(...)
 #>   problems(dat)
 #>  
@@ -570,34 +461,20 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation alt1_x1 alt1_x2
-#> 1  1                3      80     5.0
-#> 2  1                5      60     2.5
-#> 3  1               10      80     2.5
-#> 4  1               34      80     2.5
-#> 5  1               37      40     5.0
-#> 6  1               39      20    20.0
-#>   alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
-#> 1     0.0      20     5.0    10.0     1
-#> 2     5.0      20    20.0     5.0     1
-#> 3     2.5      20    20.0     0.0     1
-#> 4     5.0      60     5.0     5.0     1
-#> 5    10.0      60     5.0     2.5     1
-#> 6     2.5      60     2.5     2.5     1
-#>   group    V_1    V_2         e_1
-#> 1     1 -1.150 -0.350 -0.32663211
-#> 2     1 -0.675 -1.500 -0.04162689
-#> 3     1 -0.925 -1.600 -0.52492188
-#> 4     1 -0.875 -0.850 -1.14189023
-#> 5     1 -0.550 -0.900  0.19650068
-#> 6     1 -1.550 -0.725  2.74825383
-#>          e_2        U_1        U_2 CHOICE
-#> 1  0.2288010 -1.4766321 -0.1211990      2
-#> 2  1.0875948 -0.7166269 -0.4124052      2
-#> 3  0.1472598 -1.4499219 -1.4527402      1
-#> 4  0.5765191 -2.0168902 -0.2734809      2
-#> 5 -0.5803934 -0.3534993 -1.4803934      1
-#> 6 -0.8761884  1.1982538 -1.6011884      1
+#>    ID Choice_situation alt1_x1 alt1_x2 alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
+#> 1  1                3      80     5.0     0.0      20     5.0    10.0     1
+#> 2  1                5      60     2.5     5.0      20    20.0     5.0     1
+#> 3  1               10      80     2.5     2.5      20    20.0     0.0     1
+#> 4  1               34      80     2.5     5.0      60     5.0     5.0     1
+#> 5  1               37      40     5.0    10.0      60     5.0     2.5     1
+#> 6  1               39      20    20.0     2.5      60     2.5     2.5     1
+#>   group    V_1    V_2        e_1        e_2        U_1         U_2 CHOICE
+#> 1     1 -1.150 -0.350 -0.6442381  0.4295041 -1.7942381  0.07950409      2
+#> 2     1 -0.675 -1.500  3.1970276 -0.2347316  2.5220276 -1.73473164      1
+#> 3     1 -0.925 -1.600  0.3004974 -0.3128014 -0.6245026 -1.91280136      1
+#> 4     1 -0.875 -0.850  0.3732139 -0.4194695 -0.5017861 -1.26946953      1
+#> 5     1 -0.550 -0.900 -0.9300505  0.3951342 -1.4800505 -0.50486581      2
+#> 6     1 -1.550 -0.725  2.0446600  1.5811755  0.4946600  0.85617546      2
 #> 
 #>  
 #>  This is Run number  1 
@@ -612,58 +489,36 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation alt1_x1 alt1_x2
-#> 1  1                3      80     5.0
-#> 2  1                5      60     2.5
-#> 3  1               10      80     2.5
-#> 4  1               34      80     2.5
-#> 5  1               37      40     5.0
-#> 6  1               39      20    20.0
-#>   alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
-#> 1     0.0      20     5.0    10.0     1
-#> 2     5.0      20    20.0     5.0     1
-#> 3     2.5      20    20.0     0.0     1
-#> 4     5.0      60     5.0     5.0     1
-#> 5    10.0      60     5.0     2.5     1
-#> 6     2.5      60     2.5     2.5     1
-#>   group    V_1    V_2        e_1
-#> 1     1 -1.150 -0.350  0.9214793
-#> 2     1 -0.675 -1.500 -0.7937151
-#> 3     1 -0.925 -1.600  0.5612728
-#> 4     1 -0.875 -0.850  2.9230889
-#> 5     1 -0.550 -0.900  0.1761764
-#> 6     1 -1.550 -0.725  1.0340286
-#>           e_2        U_1         U_2
-#> 1  0.09295071 -0.2285207 -0.25704929
-#> 2 -0.18278050 -1.4687151 -1.68278050
-#> 3 -0.24595450 -0.3637272 -1.84595450
-#> 4 -0.74954312  2.0480889 -1.59954312
-#> 5 -0.52864852 -0.3738236 -1.42864852
-#> 6  0.69916199 -0.5159714 -0.02583801
-#>   CHOICE
-#> 1      1
-#> 2      1
-#> 3      1
-#> 4      1
-#> 5      1
-#> 6      2
+#>    ID Choice_situation alt1_x1 alt1_x2 alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
+#> 1  1                3      80     5.0     0.0      20     5.0    10.0     1
+#> 2  1                5      60     2.5     5.0      20    20.0     5.0     1
+#> 3  1               10      80     2.5     2.5      20    20.0     0.0     1
+#> 4  1               34      80     2.5     5.0      60     5.0     5.0     1
+#> 5  1               37      40     5.0    10.0      60     5.0     2.5     1
+#> 6  1               39      20    20.0     2.5      60     2.5     2.5     1
+#>   group    V_1    V_2        e_1         e_2        U_1        U_2 CHOICE
+#> 1     1 -1.150 -0.350  0.6290714  1.29877259 -0.5209286  0.9487726      2
+#> 2     1 -0.675 -1.500  1.8066986 -0.97425446  1.1316986 -2.4742545      1
+#> 3     1 -0.925 -1.600  2.6601535  1.12301507  1.7351535 -0.4769849      1
+#> 4     1 -0.875 -0.850 -1.0099599  1.88168762 -1.8849599  1.0316876      2
+#> 5     1 -0.550 -0.900  2.6583790  0.09147805  2.1083790 -0.8085220      1
+#> 6     1 -1.550 -0.725 -1.1958958  1.93592122 -2.7458958  1.2109212      2
 #> 
 #>  
 #>  This is the utility functions 
 #>  U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;Initial function value: -998.1319 
 #> Initial gradient value:
 #>  bpreis   blade  bwarte 
-#> -2640.0 -1060.0   662.5 
+#> -1620.0 -1040.0   382.5 
 #> initial  value 998.131940 
-#> iter   2 value 987.031183
-#> iter   3 value 957.685378
-#> iter   4 value 957.680370
-#> iter   5 value 954.925156
-#> iter   6 value 945.725076
-#> iter   7 value 945.695285
-#> iter   8 value 945.695175
-#> iter   8 value 945.695175
-#> final  value 945.695175 
+#> iter   2 value 992.061567
+#> iter   3 value 967.996960
+#> iter   4 value 967.486565
+#> iter   5 value 962.185161
+#> iter   6 value 962.173351
+#> iter   6 value 962.173337
+#> iter   6 value 962.173337
+#> final  value 962.173337 
 #> converged
 #> This is Run number  2 
 #>  does sou_gis exist:  FALSE 
@@ -677,50 +532,37 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation alt1_x1 alt1_x2
-#> 1  1                3      80     5.0
-#> 2  1                5      60     2.5
-#> 3  1               10      80     2.5
-#> 4  1               34      80     2.5
-#> 5  1               37      40     5.0
-#> 6  1               39      20    20.0
-#>   alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
-#> 1     0.0      20     5.0    10.0     1
-#> 2     5.0      20    20.0     5.0     1
-#> 3     2.5      20    20.0     0.0     1
-#> 4     5.0      60     5.0     5.0     1
-#> 5    10.0      60     5.0     2.5     1
-#> 6     2.5      60     2.5     2.5     1
-#>   group    V_1    V_2        e_1
-#> 1     1 -1.150 -0.350 -0.8218428
-#> 2     1 -0.675 -1.500  0.4133131
-#> 3     1 -0.925 -1.600  0.4824588
-#> 4     1 -0.875 -0.850 -1.2658097
-#> 5     1 -0.550 -0.900 -0.6930574
-#> 6     1 -1.550 -0.725 -0.6815915
-#>          e_2        U_1        U_2 CHOICE
-#> 1 -0.6493651 -1.9718428 -0.9993651      2
-#> 2  0.8461510 -0.2616869 -0.6538490      1
-#> 3  0.3849732 -0.4425412 -1.2150268      1
-#> 4 -0.2971578 -2.1408097 -1.1471578      2
-#> 5 -0.8024491 -1.2430574 -1.7024491      1
-#> 6 -0.4752339 -2.2315915 -1.2002339      2
+#>    ID Choice_situation alt1_x1 alt1_x2 alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
+#> 1  1                3      80     5.0     0.0      20     5.0    10.0     1
+#> 2  1                5      60     2.5     5.0      20    20.0     5.0     1
+#> 3  1               10      80     2.5     2.5      20    20.0     0.0     1
+#> 4  1               34      80     2.5     5.0      60     5.0     5.0     1
+#> 5  1               37      40     5.0    10.0      60     5.0     2.5     1
+#> 6  1               39      20    20.0     2.5      60     2.5     2.5     1
+#>   group    V_1    V_2        e_1        e_2         U_1        U_2 CHOICE
+#> 1     1 -1.150 -0.350 -0.7309834  1.1284057 -1.88098344  0.7784057      2
+#> 2     1 -0.675 -1.500  0.8179671  1.0964035  0.14296711 -0.4035965      1
+#> 3     1 -0.925 -1.600  1.3940762  1.1170727  0.46907619 -0.4829273      1
+#> 4     1 -0.875 -0.850  0.5730054  3.1034379 -0.30199458  2.2534379      2
+#> 5     1 -0.550 -0.900  1.9047401  4.1223683  1.35474011  3.2223683      2
+#> 6     1 -1.550 -0.725  1.6121097 -0.7004755  0.06210972 -1.4254755      1
 #> 
 #>  
 #>  This is the utility functions 
 #>  U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;Initial function value: -998.1319 
 #> Initial gradient value:
 #>  bpreis   blade  bwarte 
-#> -1320.0 -1027.5   537.5 
+#> -1540.0  -942.5   492.5 
 #> initial  value 998.131940 
-#> iter   2 value 992.731937
-#> iter   3 value 967.306984
-#> iter   4 value 967.287995
-#> iter   5 value 964.318376
-#> iter   6 value 964.313823
-#> iter   6 value 964.313820
-#> iter   6 value 964.313820
-#> final  value 964.313820 
+#> iter   2 value 992.664599
+#> iter   3 value 971.477616
+#> iter   4 value 971.475065
+#> iter   5 value 967.041341
+#> iter   6 value 966.930735
+#> iter   7 value 966.930651
+#> iter   7 value 966.930651
+#> iter   7 value 966.930651
+#> final  value 966.930651 
 #> converged
 #> 
 #> 
@@ -728,11 +570,11 @@ sedrive <- simulateDCE::sim_all()
 #> \                 vars    n   mean    sd    min    max  range    se
 #> ================  ====  ===  =====  ====  =====  =====  =====  ====
 #> est_bpreis           1    2  -0.01  0.00  -0.01  -0.01   0.00  0.00
-#> est_blade            2    2  -0.05  0.01  -0.06  -0.05   0.01  0.01
-#> est_bwarte           3    2   0.02  0.00   0.02   0.02   0.00  0.00
+#> est_blade            2    2  -0.05  0.01  -0.05  -0.04   0.01  0.00
+#> est_bwarte           3    2   0.01  0.01   0.00   0.01   0.02  0.01
 #> rob_pval0_bpreis     4    2   0.00  0.00   0.00   0.00   0.00  0.00
 #> rob_pval0_blade      5    2   0.00  0.00   0.00   0.00   0.00  0.00
-#> rob_pval0_bwarte     6    2   0.06  0.01   0.06   0.07   0.01  0.01
+#> rob_pval0_bwarte     6    2   0.54  0.57   0.14   0.94   0.80  0.40
 #> ================  ====  ===  =====  ====  =====  =====  =====  ====
 #> 
 #> FALSE 
@@ -759,12 +601,10 @@ sedrive <- simulateDCE::sim_all()
 #> 
 #> [1] "U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;"
 #> New names:
-#> • `Choice situation` ->
-#>   `Choice.situation`
+#> • `Choice situation` -> `Choice.situation`
 #> • `` -> `...10`
-#> Warning: One or more parsing issues, call
-#> `problems()` on your data frame for
-#> details, e.g.:
+#> Warning: One or more parsing issues, call `problems()` on your data frame for details,
+#> e.g.:
 #>   dat <- vroom(...)
 #>   problems(dat)
 #>  
@@ -779,41 +619,20 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation alt1_x1 alt1_x2
-#> 1  1                9      80     5.0
-#> 2  1               12      60     2.5
-#> 3  1               13      20    20.0
-#> 4  1               70      80     5.0
-#> 5  1               71      60    20.0
-#> 6  1               73      60    10.0
-#>   alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
-#> 1       0      60    20.0    10.0     1
-#> 2      10      40    20.0     0.0     1
-#> 3      10      80     2.5     0.0     1
-#> 4      10      20    20.0     2.5     1
-#> 5      10      80    10.0     0.0     1
-#> 6       0      40    20.0    10.0     1
-#>   group    V_1    V_2        e_1
-#> 1     1 -1.150 -1.800  0.4772651
-#> 2     1 -0.575 -1.800 -1.0611813
-#> 3     1 -1.400 -0.975 -0.4549814
-#> 4     1 -0.950 -1.550  1.0741179
-#> 5     1 -1.800 -1.500  0.6850764
-#> 6     1 -1.300 -1.600  2.1581413
-#>           e_2        U_1        U_2
-#> 1 -0.58862455 -0.6727349 -2.3886245
-#> 2  1.67391615 -1.6361813 -0.1260839
-#> 3  0.08433351 -1.8549814 -0.8906665
-#> 4  0.16471135  0.1241179 -1.3852887
-#> 5 -0.80503749 -1.1149236 -2.3050375
-#> 6 -0.78193942  0.8581413 -2.3819394
-#>   CHOICE
-#> 1      1
-#> 2      2
-#> 3      2
-#> 4      1
-#> 5      1
-#> 6      1
+#>    ID Choice_situation alt1_x1 alt1_x2 alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
+#> 1  1                9      80     5.0       0      60    20.0    10.0     1
+#> 2  1               12      60     2.5      10      40    20.0     0.0     1
+#> 3  1               13      20    20.0      10      80     2.5     0.0     1
+#> 4  1               70      80     5.0      10      20    20.0     2.5     1
+#> 5  1               71      60    20.0      10      80    10.0     0.0     1
+#> 6  1               73      60    10.0       0      40    20.0    10.0     1
+#>   group    V_1    V_2        e_1         e_2        U_1        U_2 CHOICE
+#> 1     1 -1.150 -1.800  0.2796585  0.34664924 -0.8703415 -1.4533508      1
+#> 2     1 -0.575 -1.800  0.8234627 -0.32814816  0.2484627 -2.1281482      1
+#> 3     1 -1.400 -0.975 -0.9750900  0.16466845 -2.3750900 -0.8103316      2
+#> 4     1 -0.950 -1.550  1.4931059  0.50414150  0.5431059 -1.0458585      1
+#> 5     1 -1.800 -1.500 -0.6878677 -0.07763469 -2.4878677 -1.5776347      2
+#> 6     1 -1.300 -1.600  5.5219839  0.72366180  4.2219839 -0.8763382      1
 #> 
 #>  
 #>  This is Run number  1 
@@ -828,51 +647,37 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation alt1_x1 alt1_x2
-#> 1  1                9      80     5.0
-#> 2  1               12      60     2.5
-#> 3  1               13      20    20.0
-#> 4  1               70      80     5.0
-#> 5  1               71      60    20.0
-#> 6  1               73      60    10.0
-#>   alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
-#> 1       0      60    20.0    10.0     1
-#> 2      10      40    20.0     0.0     1
-#> 3      10      80     2.5     0.0     1
-#> 4      10      20    20.0     2.5     1
-#> 5      10      80    10.0     0.0     1
-#> 6       0      40    20.0    10.0     1
-#>   group    V_1    V_2          e_1
-#> 1     1 -1.150 -1.800 -0.284096565
-#> 2     1 -0.575 -1.800 -0.020855208
-#> 3     1 -1.400 -0.975  2.808193631
-#> 4     1 -0.950 -1.550  1.512635398
-#> 5     1 -1.800 -1.500 -0.869856696
-#> 6     1 -1.300 -1.600  0.001496538
-#>          e_2        U_1        U_2 CHOICE
-#> 1  3.7852439 -1.4340966  1.9852439      2
-#> 2  2.5441347 -0.5958552  0.7441347      2
-#> 3 -0.1408644  1.4081936 -1.1158644      1
-#> 4 -0.2739250  0.5626354 -1.8239250      1
-#> 5 -0.2920285 -2.6698567 -1.7920285      2
-#> 6  0.9243727 -1.2985035 -0.6756273      2
+#>    ID Choice_situation alt1_x1 alt1_x2 alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
+#> 1  1                9      80     5.0       0      60    20.0    10.0     1
+#> 2  1               12      60     2.5      10      40    20.0     0.0     1
+#> 3  1               13      20    20.0      10      80     2.5     0.0     1
+#> 4  1               70      80     5.0      10      20    20.0     2.5     1
+#> 5  1               71      60    20.0      10      80    10.0     0.0     1
+#> 6  1               73      60    10.0       0      40    20.0    10.0     1
+#>   group    V_1    V_2        e_1        e_2        U_1        U_2 CHOICE
+#> 1     1 -1.150 -1.800 -0.7572712  3.5425547 -1.9072712  1.7425547      2
+#> 2     1 -0.575 -1.800 -0.4468573  1.9263080 -1.0218573  0.1263080      2
+#> 3     1 -1.400 -0.975 -0.6624036 -0.4899357 -2.0624036 -1.4649357      2
+#> 4     1 -0.950 -1.550 -0.3297019  0.8584054 -1.2797019 -0.6915946      2
+#> 5     1 -1.800 -1.500  3.2012567  0.2906511  1.4012567 -1.2093489      1
+#> 6     1 -1.300 -1.600  1.6578812  1.1758015  0.3578812 -0.4241985      1
 #> 
 #>  
 #>  This is the utility functions 
 #>  U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;Initial function value: -998.1319 
 #> Initial gradient value:
-#> bpreis  blade bwarte 
-#>  -2400  -3680   1320 
+#>  bpreis   blade  bwarte 
+#> -3380.0 -2975.0   927.5 
 #> initial  value 998.131940 
-#> iter   2 value 956.785003
-#> iter   3 value 912.039295
-#> iter   4 value 911.870417
-#> iter   5 value 885.881709
-#> iter   6 value 885.187568
-#> iter   7 value 885.171492
-#> iter   8 value 885.171476
-#> iter   8 value 885.171476
-#> final  value 885.171476 
+#> iter   2 value 965.332966
+#> iter   3 value 954.229410
+#> iter   4 value 953.971301
+#> iter   5 value 914.603698
+#> iter   6 value 914.486744
+#> iter   7 value 914.486127
+#> iter   7 value 914.486126
+#> iter   7 value 914.486126
+#> final  value 914.486126 
 #> converged
 #> This is Run number  2 
 #>  does sou_gis exist:  FALSE 
@@ -886,51 +691,37 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation alt1_x1 alt1_x2
-#> 1  1                9      80     5.0
-#> 2  1               12      60     2.5
-#> 3  1               13      20    20.0
-#> 4  1               70      80     5.0
-#> 5  1               71      60    20.0
-#> 6  1               73      60    10.0
-#>   alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
-#> 1       0      60    20.0    10.0     1
-#> 2      10      40    20.0     0.0     1
-#> 3      10      80     2.5     0.0     1
-#> 4      10      20    20.0     2.5     1
-#> 5      10      80    10.0     0.0     1
-#> 6       0      40    20.0    10.0     1
-#>   group    V_1    V_2        e_1
-#> 1     1 -1.150 -1.800  0.6645192
-#> 2     1 -0.575 -1.800 -0.8450051
-#> 3     1 -1.400 -0.975  0.1125148
-#> 4     1 -0.950 -1.550  1.0543183
-#> 5     1 -1.800 -1.500  1.1168013
-#> 6     1 -1.300 -1.600 -0.1311416
-#>          e_2        U_1        U_2 CHOICE
-#> 1  2.3304233 -0.4854808  0.5304233      2
-#> 2  0.2022020 -1.4200051 -1.5977980      1
-#> 3 -0.1148274 -1.2874852 -1.0898274      2
-#> 4 -1.3880265  0.1043183 -2.9380265      1
-#> 5  0.1356148 -0.6831987 -1.3643852      1
-#> 6  0.9455601 -1.4311416 -0.6544399      2
+#>    ID Choice_situation alt1_x1 alt1_x2 alt1_x3 alt2_x1 alt2_x2 alt2_x3 Block
+#> 1  1                9      80     5.0       0      60    20.0    10.0     1
+#> 2  1               12      60     2.5      10      40    20.0     0.0     1
+#> 3  1               13      20    20.0      10      80     2.5     0.0     1
+#> 4  1               70      80     5.0      10      20    20.0     2.5     1
+#> 5  1               71      60    20.0      10      80    10.0     0.0     1
+#> 6  1               73      60    10.0       0      40    20.0    10.0     1
+#>   group    V_1    V_2        e_1         e_2         U_1       U_2 CHOICE
+#> 1     1 -1.150 -1.800  1.1341457 -0.26483742 -0.01585434 -2.064837      1
+#> 2     1 -0.575 -1.800 -0.7963652  0.04667859 -1.37136517 -1.753321      1
+#> 3     1 -1.400 -0.975  0.2048657 -0.21097918 -1.19513427 -1.185979      2
+#> 4     1 -0.950 -1.550  0.3900273 -0.41202049 -0.55997270 -1.962020      1
+#> 5     1 -1.800 -1.500  1.2810776 -1.50479969 -0.51892242 -3.004800      1
+#> 6     1 -1.300 -1.600  0.1633678  2.89194036 -1.13663222  1.291940      2
 #> 
 #>  
 #>  This is the utility functions 
 #>  U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;Initial function value: -998.1319 
 #> Initial gradient value:
 #>  bpreis   blade  bwarte 
-#> -3200.0 -2932.5  1142.5 
+#> -3440.0 -2690.0  1097.5 
 #> initial  value 998.131940 
-#> iter   2 value 965.989359
-#> iter   3 value 962.943975
-#> iter   4 value 962.790350
-#> iter   5 value 915.909913
-#> iter   6 value 915.781694
-#> iter   7 value 915.780836
-#> iter   7 value 915.780833
-#> iter   7 value 915.780833
-#> final  value 915.780833 
+#> iter   2 value 968.342074
+#> iter   3 value 949.110332
+#> iter   4 value 948.984724
+#> iter   5 value 924.015573
+#> iter   6 value 923.964006
+#> iter   7 value 923.963865
+#> iter   7 value 923.963864
+#> iter   7 value 923.963864
+#> final  value 923.963864 
 #> converged
 #> 
 #> 
@@ -938,15 +729,15 @@ sedrive <- simulateDCE::sim_all()
 #> \                 vars    n   mean    sd    min    max  range    se
 #> ================  ====  ===  =====  ====  =====  =====  =====  ====
 #> est_bpreis           1    2  -0.01  0.00  -0.01  -0.01   0.00  0.00
-#> est_blade            2    2  -0.05  0.01  -0.05  -0.04   0.01  0.00
-#> est_bwarte           3    2   0.02  0.00   0.02   0.02   0.00  0.00
+#> est_blade            2    2  -0.04  0.00  -0.04  -0.04   0.01  0.00
+#> est_bwarte           3    2   0.01  0.01   0.01   0.02   0.01  0.01
 #> rob_pval0_bpreis     4    2   0.00  0.00   0.00   0.00   0.00  0.00
 #> rob_pval0_blade      5    2   0.00  0.00   0.00   0.00   0.00  0.00
-#> rob_pval0_bwarte     6    2   0.01  0.02   0.00   0.03   0.03  0.01
+#> rob_pval0_bwarte     6    2   0.22  0.29   0.01   0.42   0.41  0.20
 #> ================  ====  ===  =====  ====  =====  =====  =====  ====
 #> 
-#> TRUE 
-#>  100 
+#> FALSE  TRUE 
+#>    50    50 
 #> Utility function used in simulation, ie the true utility: 
 #> 
 #> $u1
@@ -969,8 +760,7 @@ sedrive <- simulateDCE::sim_all()
 #> 
 #> [1] "U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;"
 #> New names:
-#> • `Choice situation` ->
-#>   `Choice.situation`
+#> • `Choice situation` -> `Choice.situation`
 #>  
 #>  does sou_gis exist:  FALSE 
 #> 
@@ -983,34 +773,20 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation Block alt1_x1
-#> 1  1                1     1      80
-#> 2  1                2     1      60
-#> 3  1                3     1      60
-#> 4  1                4     1      20
-#> 5  1                5     1      40
-#> 6  1                6     1      60
-#>   alt2_x1 alt1_x2 alt2_x2 alt1_x3 alt2_x3
-#> 1      20     2.5    20.0      10       5
-#> 2      40     5.0    10.0       5      10
-#> 3      20    20.0    20.0       0      10
-#> 4      80    20.0     2.5       0      10
-#> 5      80    10.0     5.0      10       5
-#> 6      80     5.0     2.5       0       0
-#>   group    V_1    V_2         e_1
-#> 1     1 -0.775 -1.500  0.53504757
-#> 2     1 -0.850 -0.900 -0.93293876
-#> 3     1 -2.000 -1.400 -1.97083982
-#> 4     1 -1.600 -0.775 -0.09847358
-#> 5     1 -0.900 -1.050 -0.91059496
-#> 6     1 -0.950 -0.975 -0.27261150
-#>          e_2        U_1        U_2 CHOICE
-#> 1  0.9131705 -0.2399524 -0.5868295      1
-#> 2 -1.5528907 -1.7829388 -2.4528907      1
-#> 3 -0.2159494 -3.9708398 -1.6159494      2
-#> 4  0.1685500 -1.6984736 -0.6064500      2
-#> 5  1.6256604 -1.8105950  0.5756604      2
-#> 6  1.5055143 -1.2226115  0.5305143      2
+#>    ID Choice_situation Block alt1_x1 alt2_x1 alt1_x2 alt2_x2 alt1_x3 alt2_x3
+#> 1  1                1     1      80      20     2.5    20.0      10       5
+#> 2  1                2     1      60      40     5.0    10.0       5      10
+#> 3  1                3     1      60      20    20.0    20.0       0      10
+#> 4  1                4     1      20      80    20.0     2.5       0      10
+#> 5  1                5     1      40      80    10.0     5.0      10       5
+#> 6  1                6     1      60      80     5.0     2.5       0       0
+#>   group    V_1    V_2        e_1        e_2        U_1        U_2 CHOICE
+#> 1     1 -0.775 -1.500  2.0013484  1.2686068  1.2263484 -0.2313932      1
+#> 2     1 -0.850 -0.900 -0.2160302 -0.1560303 -1.0660302 -1.0560303      2
+#> 3     1 -2.000 -1.400  0.3647555  1.7510865 -1.6352445  0.3510865      2
+#> 4     1 -1.600 -0.775 -0.7047881 -0.1607646 -2.3047881 -0.9357646      2
+#> 5     1 -0.900 -1.050 -0.2254104 -1.0337366 -1.1254104 -2.0837366      1
+#> 6     1 -0.950 -0.975  0.2606067 -0.2131090 -0.6893933 -1.1881090      1
 #> 
 #>  
 #>  This is Run number  1 
@@ -1025,57 +801,36 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation Block alt1_x1
-#> 1  1                1     1      80
-#> 2  1                2     1      60
-#> 3  1                3     1      60
-#> 4  1                4     1      20
-#> 5  1                5     1      40
-#> 6  1                6     1      60
-#>   alt2_x1 alt1_x2 alt2_x2 alt1_x3 alt2_x3
-#> 1      20     2.5    20.0      10       5
-#> 2      40     5.0    10.0       5      10
-#> 3      20    20.0    20.0       0      10
-#> 4      80    20.0     2.5       0      10
-#> 5      80    10.0     5.0      10       5
-#> 6      80     5.0     2.5       0       0
-#>   group    V_1    V_2        e_1
-#> 1     1 -0.775 -1.500 -0.2361754
-#> 2     1 -0.850 -0.900  1.2985628
-#> 3     1 -2.000 -1.400  2.6517108
-#> 4     1 -1.600 -0.775 -0.3215271
-#> 5     1 -0.900 -1.050 -1.1880836
-#> 6     1 -0.950 -0.975  0.9386790
-#>          e_2         U_1         U_2
-#> 1 -0.2249671 -1.01117540 -1.72496708
-#> 2  0.4231642  0.44856278 -0.47683584
-#> 3  0.4632492  0.65171082 -0.93675077
-#> 4  0.6960098 -1.92152712 -0.07899021
-#> 5  1.0360301 -2.08808358 -0.01396992
-#> 6 -0.1024565 -0.01132103 -1.07745654
-#>   CHOICE
-#> 1      1
-#> 2      1
-#> 3      1
-#> 4      2
-#> 5      2
-#> 6      1
+#>    ID Choice_situation Block alt1_x1 alt2_x1 alt1_x2 alt2_x2 alt1_x3 alt2_x3
+#> 1  1                1     1      80      20     2.5    20.0      10       5
+#> 2  1                2     1      60      40     5.0    10.0       5      10
+#> 3  1                3     1      60      20    20.0    20.0       0      10
+#> 4  1                4     1      20      80    20.0     2.5       0      10
+#> 5  1                5     1      40      80    10.0     5.0      10       5
+#> 6  1                6     1      60      80     5.0     2.5       0       0
+#>   group    V_1    V_2        e_1        e_2        U_1         U_2 CHOICE
+#> 1     1 -0.775 -1.500 -0.1653281  1.5240819 -0.9403281  0.02408193      2
+#> 2     1 -0.850 -0.900  1.7604798 -1.0703138  0.9104798 -1.97031379      1
+#> 3     1 -2.000 -1.400 -0.2342433 -0.2639953 -2.2342433 -1.66399530      2
+#> 4     1 -1.600 -0.775  2.8543824 -0.4878686  1.2543824 -1.26286864      1
+#> 5     1 -0.900 -1.050  0.1456366  1.8645970 -0.7543634  0.81459700      2
+#> 6     1 -0.950 -0.975  2.0912305 -1.0990719  1.1412305 -2.07407190      1
 #> 
 #>  
 #>  This is the utility functions 
 #>  U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;Initial function value: -998.1319 
 #> Initial gradient value:
 #> bpreis  blade bwarte 
-#> -140.0 -935.0  332.5 
+#>  720.0 -947.5  160.0 
 #> initial  value 998.131940 
-#> iter   2 value 978.973745
-#> iter   3 value 978.139237
-#> iter   4 value 978.053388
-#> iter   5 value 974.539684
-#> iter   6 value 974.530921
-#> iter   6 value 974.530913
-#> iter   6 value 974.530913
-#> final  value 974.530913 
+#> iter   2 value 995.788784
+#> iter   3 value 986.036982
+#> iter   4 value 985.747072
+#> iter   5 value 981.687192
+#> iter   6 value 981.685153
+#> iter   6 value 981.685152
+#> iter   6 value 981.685152
+#> final  value 981.685152 
 #> converged
 #> This is Run number  2 
 #>  does sou_gis exist:  FALSE 
@@ -1089,57 +844,37 @@ sedrive <- simulateDCE::sim_all()
 #>  data has been made 
 #> 
 #>  First few observations 
-#>    ID Choice_situation Block alt1_x1
-#> 1  1                1     1      80
-#> 2  1                2     1      60
-#> 3  1                3     1      60
-#> 4  1                4     1      20
-#> 5  1                5     1      40
-#> 6  1                6     1      60
-#>   alt2_x1 alt1_x2 alt2_x2 alt1_x3 alt2_x3
-#> 1      20     2.5    20.0      10       5
-#> 2      40     5.0    10.0       5      10
-#> 3      20    20.0    20.0       0      10
-#> 4      80    20.0     2.5       0      10
-#> 5      80    10.0     5.0      10       5
-#> 6      80     5.0     2.5       0       0
-#>   group    V_1    V_2        e_1
-#> 1     1 -0.775 -1.500  0.2982044
-#> 2     1 -0.850 -0.900  3.4745400
-#> 3     1 -2.000 -1.400  3.5031943
-#> 4     1 -1.600 -0.775  0.8386792
-#> 5     1 -0.900 -1.050  1.8279937
-#> 6     1 -0.950 -0.975 -1.1295965
-#>           e_2        U_1        U_2
-#> 1  0.85521723 -0.4767956 -0.6447828
-#> 2  2.20601106  2.6245400  1.3060111
-#> 3 -0.03275998  1.5031943 -1.4327600
-#> 4  0.87875516 -0.7613208  0.1037552
-#> 5 -0.45114524  0.9279937 -1.5011452
-#> 6 -0.63521469 -2.0795965 -1.6102147
-#>   CHOICE
-#> 1      1
-#> 2      1
-#> 3      1
-#> 4      2
-#> 5      1
-#> 6      2
+#>    ID Choice_situation Block alt1_x1 alt2_x1 alt1_x2 alt2_x2 alt1_x3 alt2_x3
+#> 1  1                1     1      80      20     2.5    20.0      10       5
+#> 2  1                2     1      60      40     5.0    10.0       5      10
+#> 3  1                3     1      60      20    20.0    20.0       0      10
+#> 4  1                4     1      20      80    20.0     2.5       0      10
+#> 5  1                5     1      40      80    10.0     5.0      10       5
+#> 6  1                6     1      60      80     5.0     2.5       0       0
+#>   group    V_1    V_2        e_1         e_2        U_1        U_2 CHOICE
+#> 1     1 -0.775 -1.500  3.8883463  0.05263711  3.1133463 -1.4473629      1
+#> 2     1 -0.850 -0.900  5.5864242  0.57285677  4.7364242 -0.3271432      1
+#> 3     1 -2.000 -1.400 -0.3144368  0.03415373 -2.3144368 -1.3658463      2
+#> 4     1 -1.600 -0.775  0.3462736  2.49581876 -1.2537264  1.7208188      2
+#> 5     1 -0.900 -1.050  0.1750145  0.10667154 -0.7249855 -0.9433285      1
+#> 6     1 -0.950 -0.975  0.4323006 -0.48374785 -0.5176994 -1.4587478      1
 #> 
 #>  
 #>  This is the utility functions 
 #>  U_1 = @bpreis *$alt1_x1 + @blade *$alt1_x2 + @bwarte *$alt1_x3 ;U_2 = @bpreis *$alt2_x1 + @blade *$alt2_x2 + @bwarte *$alt2_x3 ;Initial function value: -998.1319 
 #> Initial gradient value:
 #> bpreis  blade bwarte 
-#> -660.0 -925.0  442.5 
+#>   -520   -870    380 
 #> initial  value 998.131940 
-#> iter   2 value 990.452175
-#> iter   3 value 972.395315
-#> iter   4 value 972.382101
-#> iter   5 value 968.290249
-#> iter   6 value 968.286828
-#> iter   6 value 968.286823
-#> iter   6 value 968.286823
-#> final  value 968.286823 
+#> iter   2 value 989.856026
+#> iter   3 value 986.668308
+#> iter   4 value 986.626161
+#> iter   5 value 973.334324
+#> iter   6 value 973.329236
+#> iter   7 value 973.329219
+#> iter   7 value 973.329219
+#> iter   7 value 973.329219
+#> final  value 973.329219 
 #> converged
 #> 
 #> 
@@ -1147,29 +882,29 @@ sedrive <- simulateDCE::sim_all()
 #> \                 vars    n   mean    sd    min    max  range    se
 #> ================  ====  ===  =====  ====  =====  =====  =====  ====
 #> est_bpreis           1    2  -0.01  0.00  -0.01  -0.01   0.00  0.00
-#> est_blade            2    2  -0.05  0.00  -0.05  -0.05   0.00  0.00
-#> est_bwarte           3    2   0.01  0.01   0.01   0.02   0.01  0.00
+#> est_blade            2    2  -0.04  0.00  -0.05  -0.04   0.01  0.00
+#> est_bwarte           3    2   0.01  0.01   0.00   0.01   0.01  0.01
 #> rob_pval0_bpreis     4    2   0.00  0.00   0.00   0.00   0.00  0.00
 #> rob_pval0_blade      5    2   0.00  0.00   0.00   0.00   0.00  0.00
-#> rob_pval0_bwarte     6    2   0.20  0.13   0.10   0.29   0.19  0.09
+#> rob_pval0_bwarte     6    2   0.60  0.56   0.20   0.99   0.79  0.39
 #> ================  ====  ===  =====  ====  =====  =====  =====  ====
 #> 
 #> FALSE 
 #>   100 
-#> 34.002 sec elapsed
+#> 33.325 sec elapsed
 #> $tic
 #> elapsed 
-#>  672.76 
+#>   0.813 
 #> 
 #> $toc
 #> elapsed 
-#> 706.762 
+#>  34.138 
 #> 
 #> $msg
 #> logical(0)
 #> 
 #> $callback_msg
-#> [1] "34.002 sec elapsed"
+#> [1] "33.325 sec elapsed"
 ```
 
 <img src="man/figures/README-example-1.png" width="100%" /><img src="man/figures/README-example-2.png" width="100%" /><img src="man/figures/README-example-3.png" width="100%" />
diff --git a/man/figures/README-example-1.png b/man/figures/README-example-1.png
index 8bbce51e5c2145789e69a78d4c36cd9dc3023f76..37e393d53c161ab351e0bdeca1d9591722623f55 100644
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