From 9b3a0c3f3a960ad53b6ef655597c1647629632d5 Mon Sep 17 00:00:00 2001
From: Marder <fm58hufi@usr.idiv.de>
Date: Mon, 5 Aug 2024 10:59:13 +0200
Subject: [PATCH] logit prediction

---
 Grafics/FlowChart.tif         |  Bin 80172 -> 0 bytes
 Grafics/FlowChart_all.pdf     |  Bin 411845 -> 0 bytes
 README.md                     |   93 --
 Scripts/create_tables.R       |    4 +-
 Scripts/logit/chr_vol_treat.R |   14 +-
 custom_app.lua                |   16 -
 project_start.qmd             |  598 ----------
 references.bib                | 1981 ---------------------------------
 ugs_data-main.Rproj           |   13 -
 9 files changed, 15 insertions(+), 2704 deletions(-)
 delete mode 100644 Grafics/FlowChart.tif
 delete mode 100644 Grafics/FlowChart_all.pdf
 delete mode 100644 README.md
 delete mode 100644 custom_app.lua
 delete mode 100644 project_start.qmd
 delete mode 100644 references.bib
 delete mode 100644 ugs_data-main.Rproj

diff --git a/Grafics/FlowChart.tif b/Grafics/FlowChart.tif
deleted file mode 100644
index 862796905c9fb82ea0aed9db48ebe2e7ab3bd35b..0000000000000000000000000000000000000000
GIT binary patch
literal 0
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diff --git a/README.md b/README.md
deleted file mode 100644
index e38c5e4..0000000
--- a/README.md
+++ /dev/null
@@ -1,93 +0,0 @@
-# UGS DCE Info Treatment
-
-
-
-## Getting started
-
-To make it easy for you to get started with GitLab, here's a list of recommended next steps.
-
-Already a pro? Just edit this README.md and make it your own. Want to make it easy? [Use the template at the bottom](#editing-this-readme)!
-
-## Add your files
-
-- [ ] [Create](https://docs.gitlab.com/ee/user/project/repository/web_editor.html#create-a-file) or [upload](https://docs.gitlab.com/ee/user/project/repository/web_editor.html#upload-a-file) files
-- [ ] [Add files using the command line](https://docs.gitlab.com/ee/gitlab-basics/add-file.html#add-a-file-using-the-command-line) or push an existing Git repository with the following command:
-
-```
-cd existing_repo
-git remote add origin https://git.idiv.de/idivnc71qaxa/ugs-dce-info-treatment.git
-git branch -M main
-git push -uf origin main
-```
-
-## Integrate with your tools
-
-- [ ] [Set up project integrations](https://git.idiv.de/fm58hufi/ugs_data/-/settings/integrations)
-
-## Collaborate with your team
-
-- [ ] [Invite team members and collaborators](https://docs.gitlab.com/ee/user/project/members/)
-- [ ] [Create a new merge request](https://docs.gitlab.com/ee/user/project/merge_requests/creating_merge_requests.html)
-- [ ] [Automatically close issues from merge requests](https://docs.gitlab.com/ee/user/project/issues/managing_issues.html#closing-issues-automatically)
-- [ ] [Enable merge request approvals](https://docs.gitlab.com/ee/user/project/merge_requests/approvals/)
-- [ ] [Set auto-merge](https://docs.gitlab.com/ee/user/project/merge_requests/merge_when_pipeline_succeeds.html)
-
-## Test and Deploy
-
-Use the built-in continuous integration in GitLab.
-
-- [ ] [Get started with GitLab CI/CD](https://docs.gitlab.com/ee/ci/quick_start/index.html)
-- [ ] [Analyze your code for known vulnerabilities with Static Application Security Testing (SAST)](https://docs.gitlab.com/ee/user/application_security/sast/)
-- [ ] [Deploy to Kubernetes, Amazon EC2, or Amazon ECS using Auto Deploy](https://docs.gitlab.com/ee/topics/autodevops/requirements.html)
-- [ ] [Use pull-based deployments for improved Kubernetes management](https://docs.gitlab.com/ee/user/clusters/agent/)
-- [ ] [Set up protected environments](https://docs.gitlab.com/ee/ci/environments/protected_environments.html)
-
-***
-
-# Editing this README
-
-When you're ready to make this README your own, just edit this file and use the handy template below (or feel free to structure it however you want - this is just a starting point!). Thanks to [makeareadme.com](https://www.makeareadme.com/) for this template.
-
-## Suggestions for a good README
-
-Every project is different, so consider which of these sections apply to yours. The sections used in the template are suggestions for most open source projects. Also keep in mind that while a README can be too long and detailed, too long is better than too short. If you think your README is too long, consider utilizing another form of documentation rather than cutting out information.
-
-## Name
-Choose a self-explaining name for your project.
-
-## Description
-Let people know what your project can do specifically. Provide context and add a link to any reference visitors might be unfamiliar with. A list of Features or a Background subsection can also be added here. If there are alternatives to your project, this is a good place to list differentiating factors.
-
-## Badges
-On some READMEs, you may see small images that convey metadata, such as whether or not all the tests are passing for the project. You can use Shields to add some to your README. Many services also have instructions for adding a badge.
-
-## Visuals
-Depending on what you are making, it can be a good idea to include screenshots or even a video (you'll frequently see GIFs rather than actual videos). Tools like ttygif can help, but check out Asciinema for a more sophisticated method.
-
-## Installation
-Within a particular ecosystem, there may be a common way of installing things, such as using Yarn, NuGet, or Homebrew. However, consider the possibility that whoever is reading your README is a novice and would like more guidance. Listing specific steps helps remove ambiguity and gets people to using your project as quickly as possible. If it only runs in a specific context like a particular programming language version or operating system or has dependencies that have to be installed manually, also add a Requirements subsection.
-
-## Usage
-Use examples liberally, and show the expected output if you can. It's helpful to have inline the smallest example of usage that you can demonstrate, while providing links to more sophisticated examples if they are too long to reasonably include in the README.
-
-## Support
-Tell people where they can go to for help. It can be any combination of an issue tracker, a chat room, an email address, etc.
-
-## Roadmap
-If you have ideas for releases in the future, it is a good idea to list them in the README.
-
-## Contributing
-State if you are open to contributions and what your requirements are for accepting them.
-
-For people who want to make changes to your project, it's helpful to have some documentation on how to get started. Perhaps there is a script that they should run or some environment variables that they need to set. Make these steps explicit. These instructions could also be useful to your future self.
-
-You can also document commands to lint the code or run tests. These steps help to ensure high code quality and reduce the likelihood that the changes inadvertently break something. Having instructions for running tests is especially helpful if it requires external setup, such as starting a Selenium server for testing in a browser.
-
-## Authors and acknowledgment
-Show your appreciation to those who have contributed to the project.
-
-## License
-For open source projects, say how it is licensed.
-
-## Project status
-If you have run out of energy or time for your project, put a note at the top of the README saying that development has slowed down or stopped completely. Someone may choose to fork your project or volunteer to step in as a maintainer or owner, allowing your project to keep going. You can also make an explicit request for maintainers.
diff --git a/Scripts/create_tables.R b/Scripts/create_tables.R
index e049544..9b14fa9 100644
--- a/Scripts/create_tables.R
+++ b/Scripts/create_tables.R
@@ -1,5 +1,5 @@
-library(choiceTools, lib.loc = "/home/nc71qaxa/r-packages")
-
+#library(choiceTools, lib.loc = "/home/nc71qaxa/r-packages")
+library(choiceTools)
 
 dir.create("Tables/mxl")
 dir.create("Tables/logit")
diff --git a/Scripts/logit/chr_vol_treat.R b/Scripts/logit/chr_vol_treat.R
index 6f652b4..133e96c 100644
--- a/Scripts/logit/chr_vol_treat.R
+++ b/Scripts/logit/chr_vol_treat.R
@@ -33,7 +33,7 @@ summary(logit_choice_treat)
 
 
 logit_choice_treat_uni<-glm(Choice_Treat ~  as.factor(Gender)+Z_Mean_NR+Age_mean + QFIncome +
-                          Uni_degree , data, family=binomial)
+                          Uni_degree + Kids_Dummy+ as.factor(Q27W123), data, family=binomial)
 summary(logit_choice_treat_uni)
 
 # Calculate marginal effects
@@ -42,3 +42,15 @@ marginal_effects <- margins(logit_choice_treat_uni)
 # Display the marginal effects
 summary(marginal_effects)               
 
+
+
+
+# Make predictions
+data$probabilities <- logit_choice_treat_uni %>% predict(data, type = "response")
+data$predicted.classes <- ifelse(data$probabilities  >= 0.5, 1, 0)
+# Model accuracy
+mean(data$predicted.classes == data$Choice_Treat, na.rm = T)
+
+table(predicted.classes ,data$Choice_Treat)
+
+
diff --git a/custom_app.lua b/custom_app.lua
deleted file mode 100644
index b9f5eff..0000000
--- a/custom_app.lua
+++ /dev/null
@@ -1,16 +0,0 @@
-local in_appendix = false
-
-Header = function(h)
-  if h.level == 1 then
-    if h.classes:includes("appendix") then
-      in_appendix = true
-      h.attributes["visibility"] = "uncounted"
-    else
-      in_appendix = false
-    end
-  end
-  if h.level == 2 and in_appendix then
-    h.attributes["visibility"] = "uncounted"
-  end
-  return h
-end
diff --git a/project_start.qmd b/project_start.qmd
deleted file mode 100644
index 776eb1b..0000000
--- a/project_start.qmd
+++ /dev/null
@@ -1,598 +0,0 @@
----
-title: "Hot Cities, Cool Choices:" 
-subtitle: "The Effect of Optional and Obligatory Information on Stated Preferences for Urban Green Spaces"
-title-slide-attributes:
-  data-background-image: Grafics/iDiv_logo_item.png
-  data-background-size: contain
-  data-background-opacity: "0.2"
-author: "Nino Cavallaro, Fabian Marder, Julian Sagebiel"
-institute: 
-- German Centre for Integrative Biodiversity Research (iDiv) Halle-Jena-Leipzig
-- Leipzig University 
-date: today
-date-format: long
-bibliography: references.bib
-filters:
-  - parse-latex
-  - custom_app.lua
-format: 
-  revealjs:
-    slide-number: true
-    smaller: true
-    logo: Grafics/iDiv_logo_item.PNG
-    footer: "WONV 2024: Hot Cities, Cool Choices"
-    scrollable: true
-    embed-resources: true
----
-
-```{r, include=FALSE, cache=FALSE}
-source("Scripts/MAKE_FILE.R")
-```
-
-```{r loadlibs, include=FALSE}
-library(tidyverse)
-library(apollo)
-library(texreg)
-
-list_ols <- list("(Intercept)" = "Intercept", "as.factor(Treatment_A)Treated" = "Treated", "as.factor(Treatment_A)Vol_Treated" = "Optional Treatment",
-                 "as.factor(Treatment_C)No Info 2" = "No Info 2", "as.factor(Treatment_C)No Video 1" = "Text 1",
-                 "as.factor(Treatment_C)No Video 2" = "Text 2", "as.factor(Treatment_C)Video 1" = "Video 1",
-                 "as.factor(Treatment_C)Video 2" = "Video 2", "as.factor(Treatment_D)Treated" = "Treated", "as.factor(Treatment_D)Vol. Treated" = "Vol. Treated",
-                 "as.factor(Treatment_D)No Info 2" = "No Info", 
-                 "Z_Mean_NR" = "NR-Index", "as.factor(Gender)2" = "Female",
-                 "Age_mean" = "Age", "QFIncome" = "Income", "Uni_degree" = "University Degree")
-```
-
-# Motivation & Research Contribution
-
-## Motivation (1)
-
-::: incremental
--   **Stated preference** methods are frequently applied in **environmental valuation** to estimate economic values of policies, goods, and services that cannot be valued otherwise
--   Stated preference methods face **validity challenges**
--   Valid value estimation requires **sufficient information** provision about the good being valued
--   Still unclear **what formats of information provision** and **how much information** are optimal for valid preference elicitation
-:::
-
-## Motivation (2)
-
-::: incremental
--   Too **much information** may increase survey **complexity**, leading to respondents being overburdened with it and producing less consistent choices
--   Too **little information** may lead respondents to **not** being able to make an **informed choice**
--   Valid preference elicitation depends not only on the provision of information, but also on the **appropriate processing and recall** of the information by the respondent
--   **Optional information** allows the respondents to gather required information if needed and might increase efficiency of information provision
-
--  Providing optional information should enhance optimal information seeking leading to less heterogeneity in good-specific knowledge between the respondents 
-:::
-
-## Literature
-
-::: incremental
--   There is **little research** on the effects of **optional information provision** on choice behavior and information recall
--   In their study, @tienhaara2022information surveyed preferences for agricultural genetic resources, allowing respondents the option to access detailed information on the valued goods prior to preference elicitation
--   Similarly, @hu2009consumers offered respondents the opportunity to access optional information about genetic modified food before participating in a choice experiment
--   Both studies conclude that, on average, respondents who voluntary retrieve information have **larger willingness to pay** for the good to be valued
--   Their study design, however, does not allow comparing the optional information retrieval to a version where the additional information was shown obligatory
-:::
-
-## Research Contribution
-
-::: incremental
--   Our study explores the impact of additional obligatory and optional information on stated preferences using an exogenous split sample approach with three treatments
--   We investigate the effects of information treatments on survey engagement, information recall, consequentiality, and stated preferences, similar to @welling2023information, expanding our understanding of treatment effects
--   We test who chooses additional information and to what extent their preferences differ from those who do not choose additional information
-:::
-
-## Research Questions
-
-::: incremental
-1.  Do obligatory and optional information provision affect **survey engagement**, **information recall**, **consequentiality**, and **stated preferences**?
-
-- OLS and MXL with interactions
-
-2.  Do **socio-demographic** or **attitudinal** variables influence the decision to **access optional information**?
-
-- Logit regression
-
-3.  Do **survey engagement**, **information recall**, **consequentiality**, and **stated preferences** differ between respondents who **voluntary access information** and those who do not?
-
-- OLS and MXL with interactions
-:::
-
-# Survey & Data
-
-## Discrete Choice Experiment
-
-::: incremental
--   To investigate the research questions, we use data from a **discrete choice experiment (DCE)** on naturalness of urban green spaces in the 14 largest German cities
--   The survey is an exact **replication** of the choice experiment of @Bronnmann062321-0072R1 and differs only in the information provided to the respondents
--   In the DCE, respondents were asked to imagine possible **changes** to their **most frequently used UGS**
--   This **restructuring** involved adjustments to the UGS's **naturalness** and changes to the **walking distance**
--   The associated **costs** of this restructuring were intended to be integrated into monthly **rental payments**
-<!-- -   Participants in the DCE were presented **ten** randomly assigned **choice cards** with a choice between **two alternative programs** for the renovation of the UGS and the **current status quo**. -->
-:::
-
-## Choice Card
-
-![](images/Figure%202.PNG){width="300"}
-
-## Treatment (Information Provision)
-
--   Info text about the effect of **natural urban green spaces** on urban **heat islands**
--   **Optional video** (2 minutes) with the almost the same information
-
-![](images/waermeinsel.png){width="200"}
-
-## Treatment (Quiz & Self Reference Questions)
-
-::: incremental
--   **Seven quiz questions** with strict reference to the previously provided information
-
--   Example: *The temperature difference between the city and the surrounding area can be up to 10 degrees Celsius. (true/false)*
-
--   **Two self reference questions**
-
--   Example: *The city should do more to avoid heat islands. (Strongly agree - Strongly disagree)*
-:::
-
-
-
-
-
-
-
-## Additional Data
-
-::: incremental
-
-+   Quiz: Evaluation of the quiz we gave to everyone after the DCE.**-\>Information recall**
-
-+   Timings: We saved the net interview time and the mean Choice Card time.-\> **Survey engagement**
-
-+   Two questions on **consequentiality **
-
-- Example: *To what extent do you believe that the decisions you make will have an impact on how the green spaces in your neighborhood are designed in the future? (I believe in it very much - I don’t believe in it at all)*
-
-+   **Socio-demographics**: Age, Gender, Income, Education
-
-+   **Attitudinal variable**: Measure derived from 21 items on **nature relatedness** [@nisbet2009nature]
-
-:::
-
-
-## Experimental Setting
-
-![](Grafics/FlowChart_4_groups.png){width="300"}
-
-
-<!-- ## Methods (1) {auto-animate="true"} -->
-
-
-<!-- -   OLS regression (survey engagement, information recall, consequentiality): -->
-
-<!-- ```{=tex} -->
-<!-- \begin{equation} -->
-<!--     Y = \beta_0 +  \beta_{Treat} \cdot v_{Treat} + \beta_{Control} \cdot v_{Control} + \epsilon -->
-<!--     \label{ols} -->
-<!-- \end{equation} -->
-<!-- ``` -->
-<!-- -   Mixed logit model with interactions in WTP space: -->
-
-
-<!-- ## Methods (2) {auto-animate="true"} -->
-
-<!-- -   Mixed logit model with interactions in WTP space: -->
-
-<!-- ```{=tex} -->
-<!-- \begin{equation} -->
-<!--     U_i = -(\beta_{C_i} + \beta_{TreatC_i} \cdot v_{Treat}) \cdot (\beta_{X_i} \cdot v_{X_i} + \beta_{TreatX_i} \cdot v_{X_i} \cdot v_{Treat} - C_i) + \epsilon_i -->
-<!-- \end{equation} -->
-<!-- ``` -->
-<!-- with -->
-
-<!-- ```{=tex} -->
-<!-- \begin{equation} -->
-<!--   v_{X_i} = \{ASC_{sq_i}, Nat_i, WD_i\} -->
-<!-- \end{equation} -->
-<!-- ``` -->
-<!-- and -->
-
-<!-- ```{=tex} -->
-<!-- \begin{equation} -->
-<!--   v_{Treat_A} = \{Treated, Optional Treatment\} -->
-<!-- \end{equation} -->
-<!-- ``` -->
-<!-- ```{=tex} -->
-<!-- \begin{equation} -->
-<!--   v_{Treat_B} = \{Treated, Vol. Treated, No Info\} -->
-<!-- \end{equation} -->
-<!-- ``` -->
-
-# Case A: Obligatory vs. Optional Information
-
-
-## Case A
-
-1.  Do obligatory and optional information provision affect **survey engagement**, **information recall**, **consequentiality**, and **stated preferences**?
-
-![](Grafics/FlowChart_4_groups_A.png){width="300"}
-
-<!-- ::: {style="font-size: 45%;"} -->
-
-<!-- ```{r, results='asis'} -->
-
-<!-- htmlreg(l=list(ols_time_spent_control_A, ols_time_cc_control_A, ols_percentage_correct_control_A, conseq_model_control_A), -->
-
-<!--        custom.model.names = c("Interview Time",  "CC Time", "Quiz",  "Cons. Score"), -->
-
-<!--        custom.header = list("Model 1A" = 1:1, "Model 2A" = 2:2, "Model 3A" = 3:3, "Model 4A" = 4:4), -->
-
-<!--        custom.coef.map = list_ols,  stars = c(0.01, 0.05, 0.1), float.pos="tb",  -->
-
-<!--        label = "tab:olsA", -->
-
-<!--        caption = "Results of OLS regressions for Scenario Case A.") -->
-
-<!-- ``` -->
-
-<!-- ::: -->
-
-## OLS: Engagement
-
-::: panel-tabset
-
-### OLS Specification
-
-```{=tex}
-\begin{equation}
-    Y = \beta_0 +  \beta_{Treat} \cdot v_{Treat} + \beta_{SocDem} \cdot v_{SocDem} + \epsilon
-    \label{olss}
-\end{equation}
-```
-
-with
-
-```{=tex}
-\begin{equation}
-  Y = \left\{
-  \begin{aligned}
-    &\text{Net Interview Time, Mean Choice Card Time} \\
-    &\text{Percentage of correct quiz statements, Consequentiality Score} 
-  \end{aligned}
-  \right\}
-\end{equation}
-```
-
-
-```{=tex}
-\begin{equation}
-  v_{Treat} = \{\text{Treated, Optional Treatment}\}
-\end{equation}
-```
-
-```{=tex}
-\begin{equation}
-  v_{SocDem} = \{\text{Age, Gender, Income, Education, NR-Index}\}
-\end{equation}
-```
-
-
-### Results
-
-```{r}
-ggpubr::ggarrange(plot_interview_A, plot_cc_A)
-```
-
-:::
-
-## OLS: Information Recall & Consequentiality
-
-```{r}
-ggpubr::ggarrange(plot_mani_A, plot_cons_A)
-```
-
-## MXL: Effects on Stated Preferences
-
-::: panel-tabset
-
-### MXL Specification
-
-```{=tex}
-\begin{equation}
-    U_i = -(\beta_{C_i} + \beta_{TreatC_i} \cdot v_{Treat}) \cdot (\beta_{X_i} \cdot v_{X_i} + \beta_{TreatX_i} \cdot v_{X_i} \cdot v_{Treat} - C_i) + \epsilon_i
-    \label{mxl_base}
-\end{equation}
-```
-with
-
-```{=tex}
-\begin{equation}
-  v_{X_i} = \{ASC_{sq_i}, Nat_i, WD_i\}
-\end{equation}
-```
-
-```{=tex}
-\begin{equation}
-  v_{Treat} = \{\text{Treated, Optional Treatment}\}
-\end{equation}
-```
-```{=tex}
-\begin{equation}
-  C_i = \{Rent_i\}
-\end{equation}
-```
-
-### Results 
-
-::: {style="font-size: 90%;"}
-```{r, results='asis'}
-htmlreg(c(case_A_cols[1], remGOF(case_A_cols[2:4])), single.row = TRUE,
-       custom.coef.map = list("natural" = "Naturalness", "walking" = "Walking Distance", "rent" = "Rent",
-                              "ASC_sq" = "ASC SQ", "_natural" = "Naturalness", "nat" = "Naturalness",
-                              "wd" = "Walking Distance", "asc" = "ASC SQ"),
-       custom.model.names = c("Mean", "SD", "Treated", "Optional Treatment"), custom.note = "%stars. Standard errors in parentheses.",
-       stars = c(0.01, 0.05, 0.1), float.pos="tb", 
-       label = "tab:mxl_A",
-       caption = "Results of mixed logit model with treatment interactions for Case A.")
-```
-:::
-
-
-:::
-
-# Case B: Voluntary Information Access
-
-## Voluntary Information Access
-
-2.  Do **socio-demographic** or **attitudinal** variables influence the decision to **access optional information**?
-
-![](Grafics/FlowChart_Optional_only.png){width="300"}
-
-
-
-## Logit Regression: Who chooses Optional Information?
-
-```{=tex}
-\begin{equation}
-    Y = \beta_0 + \beta_{SocDem} \cdot v_{SocDem} + \epsilon
-    \label{simple_logit}
-\end{equation}
-```
-
-::: {style="font-size: 58%;"}
-```{r, results='asis'}
-
-
-htmlreg(l=list(logit_choice_treat_uni), stars = c(0.01, 0.05, 0.1), float.pos="tb",
-       custom.model.names = c("Logit regression"),
-       custom.header = list("Dependent variable: Voluntary Information Access" = 1),
-       custom.coef.map = list_ols, custom.note = "%stars. Standard errors in parentheses.",
-       label = "tab:logit_vt", single.row = TRUE,
-       caption = "Results of logit regression on access of optional information.")
-
-
-```
-:::
-
-
-## Case B
-
-3.  Do **survey engagement**, **information recall**, **consequentiality**, and **stated preferences** differ between respondents who **voluntary access information** and those who do not?
-
-![](Grafics/FlowChart_4_groups_B.png){width="300"}
-
-## OLS Engagement: Interview & Choice Card Time
-
-```{r}
-ggpubr::ggarrange(plot_interview_D, plot_cc_D)
-```
-
-## OLS: Information Recall & Consequentiality
-
-```{r}
-ggpubr::ggarrange(plot_mani_D, plot_cons_D)
-```
-
-## MXL: Case B
-
-::: {style="font-size: 80%;"}
-```{r, results='asis'}
-htmlreg(c(case_B_cols[1], remGOF(case_B_cols[2:5])),
-       custom.coef.map = list("natural" = "Naturalness", "walking" = "Walking Distance", "rent" = "Rent",
-                              "ASC_sq" = "ASC SQ", "_natural" = "Naturalness", "nat" = "Naturalness",
-                              "wd" = "Walking Distance", "asc" = "ASC SQ",
-                              "ASC_sq_info" = "ASC SQ", "rent_info" = "Rent", "nat_info" = "Naturalness", "walking_info" = "Walking Distance"),
-       custom.model.names = c("Mean", "SD", "Treated", "Vol. Treated", "No Info"), custom.note = "%stars (one-sided). Robust standard errors in parentheses.",
-       stars = c(0.01, 0.05, 0.1), float.pos="tb",
-       label = "tab:mxl_C",
-       caption = "Results of mixed logit model with treatment interactions for Case B.")
-```
-:::
-
-## MXL: Case B with NR-index Interaction
-
-::: {style="font-size: 80%;"}
-```{r, results='asis'}
-htmlreg(c(case_B_cols_NR[1], remGOF(case_B_cols_NR[2:6])),
-       custom.coef.map = list("natural" = "Naturalness", "walking" = "Walking Distance", "rent" = "Rent",
-                              "ASC_sq" = "ASC SQ", "_natural" = "Naturalness", "nat" = "Naturalness",
-                              "wd" = "Walking Distance", "asc" = "ASC SQ", "ASC" ="ASC SQ",
-                              "ASC_sq_info" = "ASC SQ", "rent_info" = "Rent", "nat_info" = "Naturalness", "walking_info" = "Walking Distance"),
-       custom.model.names = c("Mean", "SD", "Treated", "Vol. Treated", "No Info", "NR-Index"), custom.note = "%stars (one-sided). Robust standard errors in parentheses.",
-       stars = c(0.01, 0.05, 0.1), float.pos="tb",
-       label = "tab:mxl_C_NR",
-       caption = "Results of mixed logit model with treatment interactions for Case B including NR-index.")
-```
-:::
-
-# Discussion
-
-## Discussion (1)
-
-1.  Do obligatory and optional information provision affect survey engagement, information recall, consequentiality, and stated preferences?
-
-::: incremental
--   Obligatory and optional treatments do not increase survey engagement measured via time spend on the survey
-
--   Both treatments increase information recall, stronger effect for obligatory treatment
-
--   No effects on consequentiality
-
--   Strong effects on stated preferences for both treatments, more pronounced effect for the obligatory treatment
-:::
-
-## Discussion (2)
-
-2.  Do socio-demographic or attitudinal variables influence the decision to access optional information?
-
-::: incremental
--   Respondents that voluntary access information are younger, richer and have a higher natural relatedness index
-
--   No effects of gender and education
-
--   Respondents' preferences for the good to be valued (NR-index) influence the likelihood of accessing additional information
-:::
-
-## Discussion (3)
-
-3.  Do survey engagement, information recall, consequentiality, and stated preferences differ between respondents who voluntary access information and those who do not?
-
-::: incremental
--   Respondents that voluntary access information do not engage more in the survey, but perform best in the quiz
-
--   Respondents that decide to not access additional information engage less in the survey, have a lower consequentiality score and do not perform different in the quiz than the non-treated respondents
-
--   Highest willingness to pay values in the group that voluntary accesses information
-:::
-
-## Conclusion
-
-::: incremental
--   Providing optional information does not lead to optional information seeking
-
--   Optional information is mostly accessed by people that are interested in the good to be valued
-
--   We recommend to use obligatory information provision rather than optional one
-:::
-
-## References
-
-::: {#refs}
-:::
-
-# Appendix {.appendix}
-
-
-Information provision (Video) Link to the video: <https://idiv.limequery.com/upload/surveys/682191/files/urban-heat-island-effekt.mp4>
-
-## Summary Statistics
-
-::: {style="font-size: 55%;"}
-```{=latex}
-        \begin{table}[htbp]
-        \centering
-        \begin{tabular}{lcrcclc} \hline 
-         Characteristic& Sample & Treated & Opt. Treatment & Non-Treated & Vol. Treated &  No Info   \\ \hline
-         Gender & &&& &   \\
-          \hspace{0.3cm} Proportion Females&50.67\%&50.15\%&47.98\%&49.76\% &50.48\%  &  48.26\%  \\ \hline
-         Age &44.60&44.91 &44.24&44.63 & 42.51 &  44.97 \\ \hline
-         Net Household Income&&&&  & & \\
-          \hspace{0.3cm} Less than 1500\euro  &19.06\%&20.43\%&18.86\%&17.85\%&  22.12\% &  19.77\% \\ 
-          \hspace{0.3cm} 1500\euro -3000\euro &23.39\%&20.59\%&24.75\%&24.96\%&  15.87\% &  26.16\% \\
-          \hspace{0.3cm} 3000\euro -4000\euro &32.62\%&35.14\%&29.63\%&32.86\%&  34.13\% & 27.61\% \\ 
-          \hspace{0.3cm} More than 4000\euro  &19.65\%&19.04\%&20.70\%&19.27\%&   24.52\% & 18.31\% \\ \hline
-                   Education & &&&&  &   \\
-          \hspace{0.3cm} University degree &34.54\%&32.20\%&34.68\%&36.81\%&  33.17\% & 33.72\% \\ 
-          \hspace{0.3cm} No University degree &64.46\%&67.80\%&65.32\%&63.19\%&  66.83\%  &66.28\% \\ \hline
-          NR-index &0.00&0.00&-0.02&0.02&  0.15  &-0.19 \\ \hline
-           Correct quiz answers   &66.97\%&69.86\%&66.91\%&64.07\%&69.44\%&63.08\% \\ \hline
-           Consequentiality  score  &6.15&6.28&6.02&6.12&6.75   &5.76 \\ \hline
-          Net interview time   &1396&1340&1424&1426& 1441  &1350  \\
-          Mean Choice Card time &18.86&19.02&19.10&18.51 &19.03&19.24 \\ \hline
-                   Number of respondents &1873&646&594&633&  250  &344  \\ \hline
-                   \multicolumn{7}{p{\textwidth-2\tabcolsep}}{\scriptsize Notes: Age is measured in years; NR-index is z-standardized with mean=0 and standard deviation=1; Correct quiz answers measure the percentage of correctly answered quiz questions; Consequentiality score is the sum of the two Likert-type questions on consequentiality; Net interview time and Mean Choice card time are measured in seconds; Net interview time is measured as overall interview time minus treatment time; To avoid bias, we excluded the fastest 1\% and the slowest 1\% of net interview time and mean Choice Card time from the analysis.}
-    \end{tabular}
-        \caption{Summary statistics of the sample and by scenarios.}
-        \label{tab:summary}
-        \end{table}
-```
-:::
-
-
-## NR OLS
-
-::: {style="font-size: 65%;"}
-```{r, results='asis'}
-htmlreg(l=list(nr_model_treat_A), single.row = TRUE,
-       custom.model.names = c("OLS regression"),
-       custom.header = list("Dependent variable: NR-Index" = 1),
-       custom.coef.map = list("(Intercept)" = "Intercept", "as.factor(Treatment_A)Treated" = "Treated", "as.factor(Treatment_A)Vol_Treated" = "Vol. Treated",
-                              "as.factor(Treatment_C)No Info 2" = "No Info 2", "as.factor(Treatment_C)No Video 1" = "Text 1",
-                              "as.factor(Treatment_C)No Video 2" = "Text 2", "as.factor(Treatment_C)Video 1" = "Video 1",
-                              "as.factor(Treatment_C)Video 2" = "Video 2", "Z_Mean_NR" = "NR-Index", "as.factor(Gender)2" = "Female",
-                              "Age_mean" = "Age", "QFIncome" = "Income", "Uni_degree" = "University Degree", "Kids_Dummy" = "Children",
-                              "Naturalness_SQ" = "Naturalness SQ", "WalkingDistance_SQ" = "Walking Distance SQ"),
-       stars = c(0.01, 0.05, 0.1), float.pos="tb",
-       custom.note = "%stars. Standard errors in parentheses.",
-       label = "tab:nr_ols",
-        caption = "Results of OLS on the NR-index.")
-```
-:::
-
-## OLS Models: Case A
-
-
-::: {style="font-size: 65%;"}
-```{r, results='asis'}
-htmlreg(l=list(ols_time_spent_control_A, ols_time_cc_control_A, ols_percentage_correct_control_A, conseq_model_control_A),
-       custom.model.names = c("Interview Time",  "CC Time", "Quiz",  "Cons. Score"),
-       custom.header = list("Model 1A" = 1:1, "Model 2A" = 2:2, "Model 3A" = 3:3, "Model 4A" = 4:4),
-       custom.coef.map = list_ols,  stars = c(0.01, 0.05, 0.1), float.pos="tb", 
-       custom.note = "Notes: (i) The dependent variables examined in this regression analysis are as follows: 
-       Model 1A refers to net interview time, 
-       Model 2A denotes choice card time, Model 3A represents the percentage of correct quiz questions, and Model 4A represents consequentiality score.
-       (ii) The variables included in the analysis are as follows: Treated is a dummy variable indicating membership 
-       in the obligatory treated group, Optional Treatment is a dummy variable indicating membership in the group with 
-       the choice to receive treatment or not, with the reference group being Non-Treated. NR-Index represents the z-standardized
-       natural relatedness index. Female is a dummy variable denoting gender, Age has been mean-centered and measured in years, 
-       Income is a continuous variable indicating a transition from one income group to the next higher, and University Degree is 
-       a dummy variable indicating whether an individual holds a university degree; (iii) %stars and standard errors in parentheses.",
-       label = "tab:olsA", single.row = TRUE,
-       caption = "Results of OLS regressions for Scenario Case A.")
-```
-:::
-
-## OLS Models: Case B
-
-::: {style="font-size: 60%;"}
-```{r, results='asis'}
-htmlreg(l=list(ols_time_spent_control_D, ols_time_cc_control_D, ols_percentage_correct_control_D,  conseq_model_control_D),
-       custom.model.names = c("Interview Time",  "CC Time", "Quiz",  "Cons. Score"),
-       custom.header = list("Model 1B" = 1:1, "Model 2B" = 2:2, "Model 3B" = 3:3, "Model 4B" = 4:4),
-       custom.coef.map = list_ols,  stars = c(0.01, 0.05, 0.1), float.pos="tb", 
-       custom.note = "Notes: (i) The dependent variables examined in this regression analysis are as follows: 
-       Model 1B refers to net interview time, 
-       Model 2B denotes choice card time, Model 1B represents the percentage of correct quiz questions, and Model 4B represents consequentiality score.
-       (ii) The variables included in the analysis are as follows: Treated is a dummy variable indicating membership 
-       in the obligatory treated group, Vol. Treated is a dummy variable indicating the group that voluntarily chose the optional treatment, 
-       while No Info indicates the group that did not opt for the treatment, with the reference group being Non-Treated. NR-Index represents the z-standardized
-       natural relatedness index. Female is a dummy variable denoting gender, Age has been mean-centered and measured in years, 
-       Income is a continuous variable indicating a transition from one income group to the next higher, and University Degree is 
-       a dummy variable indicating whether an individual holds a university degree; (iii) %stars and standard errors in parentheses.",
-       label = "tab:olsD",
-       caption = "Results of OLS regressions for Scenario Case B.", single.row = TRUE)
-```
-:::
-
-## MXL: Split Samples
-
-```{r}
-ggplot(data=mxl_melt_info, aes(x=Coefficent, y=abs(value), fill=variable)) +
-  geom_bar(stat="identity",  position='dodge', width = 0.9) +
-  geom_errorbar(aes(x=Coefficent, ymin=abs(value)-ME, ymax=abs(value)+ME), width=0.3, position=position_dodge(0.8)) +
-  ylab("Absolute Value") +
-  xlab("Coefficient") +
-  scale_x_discrete(guide = guide_axis(angle = 45)) +
-  scale_fill_brewer(palette = "Set2", labels = c("Treated", "Optional Treatment", "Not Treated"), name="Treatment") +
-  theme(legend.position = c(0.85, 0.8)) 
-```
diff --git a/references.bib b/references.bib
deleted file mode 100644
index 8e4b2f6..0000000
--- a/references.bib
+++ /dev/null
@@ -1,1981 +0,0 @@
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-	elocation-id = {062321-0072R1},
-	year = {2023},
-	publisher = {University of Wisconsin Press},
-	abstract = {The range of benefits for humans and biodiversity conservation provided by urban green spaces (UGS) receives substantial attention in relation to urban planning and management. However, little is known about the value of nature in UGS. We developed a graphical measurement scale for the naturalness of UGS, with 5 steps between largely sealed and largely wilderness, which was embedded in an online survey and a discrete choice experiment. Using mixed logit models, we find that German citizens have a mean willingness to pay of {\texteuro}20.25 per month for an increase in the naturalness of the closest UGS by one step.},
-	issn = {0023-7639},
-	eprint = {https://le.uwpress.org/content/early/2023/02/17/le.99.4.062321-0072R1.full.pdf},
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-    
-
-},
-eprint = { 
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-    
-    
-
-}
-,
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-@article{scarpa2008utility,
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-@article{thiene2009deriving,
-  title={Deriving and testing efficient estimates of WTP distributions in destination choice models},
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-@article{daly2012using,
-  title={Using ordered attitudinal indicators in a latent variable choice model: a study of the impact of security on rail travel behaviour},
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-@article{raveau2012practical,
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-@article{czajkowski2019simulation,
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-@article{welling2022information,
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-@article{nisbet2009nature,
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-}
\ No newline at end of file
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