29 Commits

Author SHA1 Message Date
97624ad208 Fix stray asterisk and punctuation 2025-09-28 20:23:23 +02:00
6add418c3b Modify experimental setup section to fit all content on one page 2025-09-28 20:18:18 +02:00
5eb9cc7141 Finish content of paper 2025-09-28 16:03:41 +02:00
90c0cc7b14 Modify find_grade_gain.py 2025-09-28 16:03:26 +02:00
601975d370 Rename script 2025-09-28 16:03:18 +02:00
411427304c Add find_grade_gain.py 2025-09-27 00:23:28 +02:00
a8fafd5054 Add tex-fmt.toml 2025-09-26 23:49:32 +02:00
fc208f2a39 Fix phrasing and british english 2025-09-26 23:49:11 +02:00
1a4f82258c Update README.md 2025-05-30 00:21:39 -04:00
a4be0ca9cc Fix typo 2025-05-30 00:20:45 -04:00
21522986bd Clean up document 2025-05-30 00:19:23 -04:00
7eb1ef7164 Formatting 2025-05-30 00:07:38 -04:00
de8d63293d Remove commented out text 2025-05-30 00:04:51 -04:00
d38f934123 Wording 2025-05-30 00:00:59 -04:00
0d47bfc947 Add proper values for the response time calculatio 2025-05-29 23:22:47 -04:00
47a304c129 Add approximate_response_time.py 2025-05-29 23:22:20 -04:00
68b36e9522 Fit everything on one page 2025-05-29 02:20:08 -04:00
d4d66e0d90 Change paper.bib 2025-05-29 02:19:56 -04:00
c6fed725f9 Formatting 2025-05-29 00:52:11 -04:00
dac52007a7 Remove appendix 2025-05-29 00:50:47 -04:00
f0a19a778a response time -> expected response time 2025-05-29 00:50:10 -04:00
0c89a245b1 Comment out mean bottle volume 2025-05-29 00:49:45 -04:00
f45e6e2c1a Add proper queuing theory based model; Add TODOs 2025-04-18 00:30:18 +02:00
3181b2ac4e Add mean bottle size, mathematical model 2025-03-12 16:31:16 +01:00
be1f0aa784 Add hypothesis test scripts 2025-03-11 17:47:59 +01:00
597857055a Add more references; Write results and conclusion, start writing
discussion
2025-03-11 17:47:39 +01:00
2037d7cb24 Write experiment setup, add bullet points for discussion and conclusion 2025-03-04 09:27:00 +01:00
3963fe0992 Set up build system 2025-03-04 09:26:49 +01:00
5dca53926f Add files from Overleaf 2025-03-04 07:44:38 +01:00
18 changed files with 1383 additions and 0 deletions

1
.gitignore vendored Normal file
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build/

3
.latexmkrc Normal file
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$pdflatex="pdflatex -shell-escape -interaction=nonstopmode -synctex=1 %O %S";
$out_dir = 'build';
$pdf_mode = 1;

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Dockerfile Normal file
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FROM alpine:3.19
RUN apk update && apk upgrade
RUN apk add make texlive texmf-dist-pictures
RUN apk add texmf-dist-publishers texmf-dist-science texmf-dist-fontsextra texmf-dist-latexextra
RUN apk add biber texmf-dist-bibtexextra
# The 'bbm' package insists on generating stuff in the home directory. In
# order to guarantee access to the home directory no matter the user the
# docker container is run with, create a temporary one anyone can write to
RUN mkdir /tmp/home
RUN chmod -R 777 /tmp/home
ENV HOME=/tmp/home

11
Makefile Normal file
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all: build_folder paper.pdf
build_folder:
mkdir -p build/build
paper.pdf: paper.tex
latexmk -pdf paper.tex
clean:
rm -rf build

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# KIT Library Hydration Study
Latex sources for a paper on the behaviour of students at the KIT library with
regard to their water bottle refilling habits.
## Build
### Build manually
```bash
$ make
```
### Build using docker
1. Build docker image
```bash
$ docker build -f Dockerfile . -t bib-paper
```
2. Build document
```bash
$ docker run --rm -v $PWD:$PWD -w $PWD -u `id -u`:`id -g` bib-paper make
```

316
common.tex Normal file
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% Author: Andreas Tsouchlos
%
% Collection of useful commands and definitions
%
% ||====================================================================||
% || WARNING ||
% ||====================================================================||
% || The following packages have to be included before using this file: ||
% || amsmath ||
% || pgfplots ||
% ||====================================================================||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Math Symbols %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\DeclareMathOperator*{\argmin}{\arg\!\min}
\DeclareMathOperator*{\argmax}{\arg\!\max}
\DeclareMathOperator\sign{sign}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Data Manipulation %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Filters for Pgfplots
% Source: https://tex.stackexchange.com/a/58563 (modified)
%
\pgfplotsset{
discard if/.style 2 args={
x filter/.append code={
\edef\tempa{\thisrow{#1}}
\edef\tempb{#2}
\ifx\tempa\tempb
\def\pgfmathresult{inf}
\fi
}
},
discard if not/.style 2 args={
x filter/.append code={
\edef\tempa{\thisrow{#1}}
\edef\tempb{#2}
\ifx\tempa\tempb
\else
\def\pgfmathresult{inf}
\fi
}
},
discard if gt/.style 2 args={
x filter/.append code={
\edef\tempa{\thisrow{#1}}
\edef\tempb{#2}
\ifdim\tempa pt > \tempb pt
\def\pgfmathresult{inf}
\fi
}
},
discard if lt/.style 2 args={
x filter/.append code={
\edef\tempa{\thisrow{#1}}
\edef\tempb{#2}
\ifdim\tempa pt < \tempb pt
\def\pgfmathresult{inf}
\fi
}
}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Graphics & Plotting %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Colors
%
% KIT Colors
\definecolor{kit-green100}{rgb}{0,.59,.51}
\definecolor{kit-green70}{rgb}{.3,.71,.65}
\definecolor{kit-green50}{rgb}{.50,.79,.75}
\definecolor{kit-green30}{rgb}{.69,.87,.85}
\definecolor{kit-green15}{rgb}{.85,.93,.93}
\definecolor{KITgreen}{rgb}{0,.59,.51}
\definecolor{KITpalegreen}{RGB}{130,190,60}
\colorlet{kit-maigreen100}{KITpalegreen}
\colorlet{kit-maigreen70}{KITpalegreen!70}
\colorlet{kit-maigreen50}{KITpalegreen!50}
\colorlet{kit-maigreen30}{KITpalegreen!30}
\colorlet{kit-maigreen15}{KITpalegreen!15}
\definecolor{KITblue}{rgb}{.27,.39,.66}
\definecolor{kit-blue100}{rgb}{.27,.39,.67}
\definecolor{kit-blue70}{rgb}{.49,.57,.76}
\definecolor{kit-blue50}{rgb}{.64,.69,.83}
\definecolor{kit-blue30}{rgb}{.78,.82,.9}
\definecolor{kit-blue15}{rgb}{.89,.91,.95}
\definecolor{KITyellow}{rgb}{.98,.89,0}
\definecolor{kit-yellow100}{cmyk}{0,.05,1,0}
\definecolor{kit-yellow70}{cmyk}{0,.035,.7,0}
\definecolor{kit-yellow50}{cmyk}{0,.025,.5,0}
\definecolor{kit-yellow30}{cmyk}{0,.015,.3,0}
\definecolor{kit-yellow15}{cmyk}{0,.0075,.15,0}
\definecolor{KITorange}{rgb}{.87,.60,.10}
\definecolor{kit-orange100}{cmyk}{0,.45,1,0}
\definecolor{kit-orange70}{cmyk}{0,.315,.7,0}
\definecolor{kit-orange50}{cmyk}{0,.225,.5,0}
\definecolor{kit-orange30}{cmyk}{0,.135,.3,0}
\definecolor{kit-orange15}{cmyk}{0,.0675,.15,0}
\definecolor{KITred}{rgb}{.63,.13,.13}
\definecolor{kit-red100}{cmyk}{.25,1,1,0}
\definecolor{kit-red70}{cmyk}{.175,.7,.7,0}
\definecolor{kit-red50}{cmyk}{.125,.5,.5,0}
\definecolor{kit-red30}{cmyk}{.075,.3,.3,0}
\definecolor{kit-red15}{cmyk}{.0375,.15,.15,0}
\definecolor{KITpurple}{RGB}{160,0,120}
\colorlet{kit-purple100}{KITpurple}
\colorlet{kit-purple70}{KITpurple!70}
\colorlet{kit-purple50}{KITpurple!50}
\colorlet{kit-purple30}{KITpurple!30}
\colorlet{kit-purple15}{KITpurple!15}
\definecolor{KITcyanblue}{RGB}{80,170,230}
\colorlet{kit-cyanblue100}{KITcyanblue}
\colorlet{kit-cyanblue70}{KITcyanblue!70}
\colorlet{kit-cyanblue50}{KITcyanblue!50}
\colorlet{kit-cyanblue30}{KITcyanblue!30}
\colorlet{kit-cyanblue15}{KITcyanblue!15}
% Matplotlib Colors
\definecolor{Mpl1}{HTML}{1f77b4}
\definecolor{Mpl2}{HTML}{ff7f0e}
\definecolor{Mpl3}{HTML}{2ca02c}
\definecolor{Mpl4}{HTML}{d62728}
\definecolor{Mpl5}{HTML}{9467bd}
\definecolor{Mpl6}{HTML}{8c564b}
\definecolor{Mpl7}{HTML}{e377c2}
\definecolor{Mpl8}{HTML}{7f7f7f}
\definecolor{Mpl9}{HTML}{bcbd22}
\definecolor{Mpl10}{HTML}{17becf}
%
% Color Schemes
%
% Define colormaps
\pgfplotsset{
colormap={mako}{
rgb=(0.18195582, 0.11955283, 0.23136943)
rgb=(0.25307401, 0.23772973, 0.48316271)
rgb=(0.21607792, 0.39736958, 0.61948028)
rgb=(0.20344718, 0.56074869, 0.65649508)
rgb=(0.25187832, 0.71827158, 0.67872193)
rgb=(0.54578602, 0.8544913, 0.69848331)
},
colormap={rocket}{
rgb=(0.20973515, 0.09747934, 0.24238489)
rgb=(0.43860848, 0.12177004, 0.34119475)
rgb=(0.67824099, 0.09192342, 0.3504148)
rgb=(0.8833417, 0.19830556, 0.26014181)
rgb=(0.95381595, 0.46373781, 0.31769923)
rgb=(0.96516917, 0.70776351, 0.5606593)
},
colormap={cividis}{
rgb=(0.130669, 0.231458, 0.43284)
rgb=(0.298421, 0.332247, 0.423973)
rgb=(0.42512, 0.431334, 0.447692)
rgb=(0.555393, 0.537807, 0.471147)
rgb=(0.695985, 0.648334, 0.440072)
rgb=(0.849223, 0.771947, 0.359729)
},
colormap={cel}{
color=(KITred!90!black);
color=(kit-blue100);
color=(kit-green70);
color=(kit-yellow70!80!kit-orange70);
},
colormap={matplotlib}{
% Source: https://github.com/matplotlib/matplotlib/blob/e5a85f960b2d47eac371cff709b830d52c36d267/lib/matplotlib/_cm.py#L1114
rgb=(0.2298057, 0.298717966, 0.753683153)
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rgb=(0.639176211, 0.759599947, 0.998151185)
rgb=(0.681291281, 0.788964712, 0.990363227)
rgb=(0.722193294, 0.813952739, 0.976574709)
rgb=(0.761464949, 0.834302879, 0.956945269)
rgb=(0.798691636, 0.849786142, 0.931688648)
rgb=(0.833466556, 0.860207984, 0.901068838)
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rgb=(0.897787179, 0.848937047, 0.820880546)
rgb=(0.924127593, 0.827384882, 0.774508472)
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rgb=(0.752534934, 0.157246067, 0.184115123)
rgb=(0.705673158, 0.01555616, 0.150232812)
}
}
% Define cycle lists
\pgfplotscreateplotcyclelist{mako}{%
[samples of colormap={4} of mako]%
}
\pgfplotscreateplotcyclelist{rocket}{%
[samples of colormap={4} of rocket]%
}
\pgfplotscreateplotcyclelist{cividis}{%
[samples of colormap={4} of cividis]%
}
\pgfplotscreateplotcyclelist{viridis}{%
[samples of colormap={4} of viridis]%
}
\pgfplotscreateplotcyclelist{cel}{%
[samples of colormap={4} of cel]%
}
\pgfplotscreateplotcyclelist{matplotlib}{%
{Mpl1},{Mpl2},{Mpl3},{Mpl4}
}
% Define 'scolX' colors
\makeatletter
\def\extractcolormapcolor#1#2{%
\expandafter\pgfplotscolormapaccess\expandafter[\pgfplotspointmetatransformedrange]%
[1.0]%
{#2}%
{\pgfkeysvalueof{/pgfplots/colormap name}}%
\def\pgfplots@loc@TMPb{\pgfutil@definecolor{#1}{\csname pgfpl@cm@\pgfkeysvalueof{/pgfplots/colormap name}@colspace\endcsname}}%
\expandafter\pgfplots@loc@TMPb\expandafter{\pgfmathresult}%
}%
\def\getcolorbyvalue#1{
\csname pgfpl@cm@\pgfkeysvalueof{/pgfplots/colormap name}@colspace\endcsname
}
\makeatother
\def\setschemecolorsfrommap{
\extractcolormapcolor{scol0}{0}
\extractcolormapcolor{scol1}{333}
\extractcolormapcolor{scol2}{666}
\extractcolormapcolor{scol3}{1000}
}
\newcommand{\setschemecolorsmanually}[4]{
\colorlet{scol0}{#1}
\colorlet{scol1}{#2}
\colorlet{scol2}{#3}
\colorlet{scol3}{#4}
}
% Define color schemes
\pgfplotsset{
/pgfplots/colorscheme/cel/.style={
colormap name={cel},
cycle list name={cel},
/utils/exec={\setschemecolorsfrommap},
},
/pgfplots/colorscheme/rocket/.style={
colormap name={rocket},
cycle list name={rocket},
/utils/exec={\setschemecolorsfrommap},
},
/pgfplots/colorscheme/viridis/.style={
colormap name={viridis},
cycle list name={viridis},
/utils/exec={\setschemecolorsfrommap},
},
/pgfplots/colorscheme/mako/.style={
colormap name={mako},
cycle list name={mako},
/utils/exec={\setschemecolorsfrommap},
},
/pgfplots/colorscheme/cividis/.style={
colormap name={cividis},
cycle list name={cividis},
/utils/exec={\setschemecolorsfrommap},
},
/pgfplots/colorscheme/matplotlib/.style={
colormap name={matplotlib},
cycle list name={matplotlib},
/utils/exec={\setschemecolorsmanually{Mpl1}{Mpl2}{Mpl3}{Mpl4}},
},
}

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paper.bib Normal file
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@book{gertner_idea_2012,
title={The idea factory: Bell Labs and the great age of American innovation},
author={Gertner, Jon},
year={2012},
publisher={Penguin}
}
@article{chen_homotopy_2015,
title = {Homotopy continuation method for solving systems of nonlinear and polynomial equations},
volume = {15},
issn = {15267555, 21634548},
url = {https://link.intlpress.com/JDetail/1805790889102491649},
doi = {10.4310/CIS.2015.v15.n2.a1},
language = {en},
number = {2},
urldate = {2025-02-24},
journal = {Communications in Information and Systems},
author = {Chen, Tianran and Li, Tien-Yien},
year = {2015},
keywords = {/unread},
pages = {119--307},
file = {PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/AM6X2GG5/Chen and Li - 2015 - Homotopy continuation method for solving systems of nonlinear and polynomial equations.pdf:application/pdf},
}
@misc{reichel_numerical_2023,
title = {Numerical {Methods} for {Electrical} {Engineering}, {Meteorology}, {Remote} {Sensing}, and {Geoinformatics}},
shorttitle = {Numerical {Methods}},
language = {en},
author = {Reichel, Wolfgang},
year = {2023},
keywords = {/unread},
file = {PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/VPCNXBJJ/Reichel - for Electrical Engineering, Meteorology, Remote Sensing, and Geoinformatics.pdf:application/pdf},
}
@book{golub_matrix_2013,
edition = {fourth},
title = {Matrix {Computations}},
isbn = {1-4214-0794-9 978-1-4214-0794-4},
url = {http://www.cs.cornell.edu/cv/GVL4/golubandvanloan.htm},
publisher = {JHU Press},
author = {Golub, Gene Howard and Van Loan, Charles Francis},
year = {2013},
keywords = {/unread},
file = {PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/ECTUSDB6/Golub and Van Loan - 2013 - Matrix Computations.pdf:application/pdf},
}
@book{allgower_introduction_2003,
address = {Philadelphia, Pa},
series = {Classics in applied mathematics},
title = {Introduction to numerical continuation methods},
isbn = {978-0-89871-544-6 978-0-89871-915-4},
abstract = {Numerical continuation methods have provided important contributions toward the numerical solution of nonlinear systems of equations for many years. The methods may be used not only to compute solutions, which might otherwise be hard to obtain, but also to gain insight into qualitative properties of the solutions. Introduction to Numerical Continuation Methods, originally published in 1979, was the first book to provide easy access to the numerical aspects of predictor corrector continuation and piecewise linear continuation methods. Not only do these seemingly distinct methods share many common features and general principles, they can be numerically implemented in similar ways. The book also features the piecewise linear approximation of implicitly defined surfaces, the algorithms of which are frequently used in computer graphics, mesh generation, and the evaluation of surface integrals. To help potential users of numerical continuation methods create programs adapted to their particular needs, this book presents pseudo-codes and Fortran codes as illustrations. Since it first appeared, many specialized packages for treating such varied problems as bifurcation, polynomial systems, eigenvalues, economic equilibria, optimization, and the approximation of manifolds have been written. The original extensive bibliography has been updated in the SIAM Classics edition to include more recent references and several URLs so users can look for codes to suit their needs. Audience: this book continues to be useful for researchers and graduate students in mathematics, sciences, engineering, economics, and business. A background in elementary analysis and linear algebra are adequate prerequisites for reading this book; some knowledge from a first course in numerical analysis may also be helpful},
language = {eng},
number = {45},
publisher = {Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)},
author = {Allgower, Eugene L. and Georg, Kurt},
collaborator = {{Society for Industrial and Applied Mathematics}},
year = {2003},
doi = {10.1137/1.9780898719154},
keywords = {Continuation methods, Euler-Newton method, /unread},
file = {PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/LQGFJ4LJ/Allgower and Georg - 2003 - Introduction to numerical continuation methods.pdf:application/pdf},
}
@book{higham_functions_2008,
title = {Functions of {Matrices}: {Theory} and {Computation}},
isbn = {978-0-89871-646-7},
shorttitle = {Functions of {Matrices}},
abstract = {A thorough and elegant treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms. Key features include a detailed treatment of the matrix sign function and matrix roots; a development of the theory of conditioning and properties of the FrŸ?chet derivative; Schur decomposition; block Parlett recurrence; a thorough analysis of the accuracy, stability, and computational cost of numerical methods; general results on convergence and stability of matrix iterations; and a chapter devoted to the f(A)b problem. Ideal for advanced courses and for self-study, its broad content, references and appendix also make this book a convenient general reference. Contains an extensive collection of problems with solutions and MATLAB? implementations of key algorithms.},
language = {en},
publisher = {SIAM},
author = {Higham, Nicholas J.},
month = sep,
year = {2008},
note = {Google-Books-ID: 2Wz\_zVUEwPkC},
keywords = {Mathematics / Algebra / Linear, Mathematics / Applied, Mathematics / Mathematical Analysis, Mathematics / Matrices, Mathematics / Numerical Analysis, /unread},
file = {PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/W3DMMA3P/Higham - 2008 - Functions of Matrices Theory and Computation.pdf:application/pdf},
}
@article{james_w_michaels_academic_1989,
title = {Academic effort and college grades},
volume = {68},
journal = {Social Forces},
author = {{James W Michaels} and {Terance D Miethe}},
year = {1989},
keywords = {/unread},
pages = {309--319},
}
@article{michaels_academic_1989,
title = {Academic {Effort} and {College} {Grades}*},
volume = {68},
issn = {0037-7732},
url = {https://doi.org/10.1093/sf/68.1.309},
doi = {10.1093/sf/68.1.309},
abstract = {This study examines the possibility that specification errors contribute to the Schuman et al (1985) findings of a weak relationship between study time and college grades. Our analyses investigate both main and interactive effects, measures of quantity and quality of study, and various context-specific models of college grades. In contrast to previous findings, we observe significant main and interactive effects of academic effort on college grades.},
number = {1},
urldate = {2025-03-07},
journal = {Social Forces},
author = {Michaels, James W. and Miethe, Terance D.},
month = sep,
year = {1989},
keywords = {/unread, ⭐⭐⭐},
pages = {309--319},
file = {Full Text PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/8UXRFWEC/Michaels and Miethe - 1989 - Academic Effort and College Grades.pdf:application/pdf;Snapshot:/home/andreas/workspace/work/hiwi/Zotero/storage/2JBVD4TS/2232194.html:text/html},
}
@article{dickinson_effect_1990,
title = {Effect of {Quality} and {Quantity} of {Study} on {Student} {Grades}},
volume = {83},
issn = {0022-0671},
url = {https://www.jstor.org/stable/27540388},
abstract = {In this study we investigated the relationship between study time and test scores in a course on learning principles for college education majors. The students were required to keep a continuous log of the amount of time that they spent reading, reviewing, and organizing for the course. Weak relationships with test scores were found for total study time and time spent reviewing. A much stronger relationship was found for time spent organizing the course content. An extreme-groups analysis revealed that students with high test scores spent 40 min per week organizing compared with 10 min per week for students with low test scores. The results support the importance that information-processing theorists attribute to active learning strategies.},
number = {4},
urldate = {2025-03-07},
journal = {The Journal of Educational Research},
author = {Dickinson, Donald J. and O'Connell, Debra Q.},
year = {1990},
note = {Publisher: Taylor \& Francis, Ltd.},
keywords = {/unread},
pages = {227--231},
file = {JSTOR Full Text PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/8HZQXEEU/Dickinson and O'Connell - 1990 - Effect of Quality and Quantity of Study on Student Grades.pdf:application/pdf},
}
@article{zulauf_use_1999,
series = {Selected {Paper}},
title = {{USE} {OF} {TIME} {AND} {ACADEMIC} {PERFORMANCE} {OF} {COLLEGE} {STUDENTS}: {DOES} {STUDYING} {MATTER}?},
shorttitle = {{USE} {OF} {TIME} {AND} {ACADEMIC} {PERFORMANCE} {OF} {COLLEGE} {STUDENTS}},
doi = {10.22004/ag.econ.21547},
abstract = {Recursive regression analysis revealed time management skills and study time were positively related with quarter GPA for 93 students in three agricultural economics courses at Ohio State University. GPA increased only 0.04 points [4.0 scale] per additional study hour, suggesting substantial improvements in GPA require substantial increases in study time},
language = {eng},
editor = {Zulauf, Carl R. and Gortner, Amy K.},
year = {1999},
note = {Num Pages: 16},
keywords = {academic performance, study time, Teaching/Communication/Extension/Profession, time management, /unread, ⭐⭐⭐⭐⭐},
file = {PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/PM7CTJ7G/Zulauf and Gortner - 1999 - USE OF TIME AND ACADEMIC PERFORMANCE OF COLLEGE STUDENTS DOES STUDYING MATTER.pdf:application/pdf},
}
@article{rooney_use_1985,
title = {The {Use} of {Self}-{Monitoring} {Procedures} {With} {Low} {IQ} {Learning} {Disabled} {Students}},
volume = {18},
issn = {0022-2194},
url = {https://doi.org/10.1177/002221948501800703},
doi = {10.1177/002221948501800703},
abstract = {Given the changes in the population served in programs for the learning-disabled, there is a continuing need to verify the effectiveness of teaching methods used with D students. This research investigated the efficacy of two cognitive behavior modification procedures—self-monitoring of attention and self-monitoring of academic accuracy—with a group of low functioning students in a LD self-contained class. Data are presented which indicate that the combination of both procedures was effective for all four students in improving attention-to-task and for three of the four children in percentage of accurate responses in an arithmetic task. The discussion highlights the importance of possible modification of CBM methods and training procedures in order to develop successsful intervention programs for LD students whose cognitive functioning levels are below average.},
language = {en},
number = {7},
urldate = {2025-03-07},
journal = {Journal of Learning Disabilities},
author = {Rooney, Karen and Polloway, Edward A. and Hallahan, Daniel P.},
month = aug,
year = {1985},
note = {Publisher: SAGE Publications Inc
TLDR: Investigation of the efficacy of two cognitive behavior modification procedures with a group of low functioning students in a LD self-contained class indicates that the combination was effective for all four students in improving attention-to-task and for three of the four children in percentage of accurate responses in an arithmetic task.},
keywords = {/unread, ⭐},
pages = {384--389},
file = {SAGE PDF Full Text:/home/andreas/workspace/work/hiwi/Zotero/storage/ETX97WRA/Rooney et al. - 1985 - The Use of Self-Monitoring Procedures With Low IQ Learning Disabled Students.pdf:application/pdf},
}
@article{napoles_role_2023,
title = {The {Role} of {Time} {Management} to the {Academic} {Performance} of the {College} {Students} {During} {Pandemic}},
volume = {10},
copyright = {Copyright (c) 2023 International Journal of Social Sciences and Humanities Invention},
issn = {2349-2031},
url = {https://valleyinternational.net/index.php/theijsshi/article/view/3829},
doi = {10.18535/ijsshi/v10i02.05},
abstract = {This study was undertaken to determine a statistical correlation between the role of time management and the academic performance of the college students during a pandemic. The population of the research consisted of distance learning students from the\&nbsp; Department of Technology Teacher Education of Mindanao State University-Iligan Institute of Technology. One hundred eighty-two participants belonging to different courses who were selected randomly, ranging from first year to fourth year, participated conveniently in this study. Survey questionnaires regarding time management on a five-point likert scale were used to collect data from respondents and were disseminated through Google forms. Before utilizing scales, professionals in the field review them for validity. The variables' previous GPA correlated with .139 and a significance of .061 indicated that they have no significant relationship with how students manage their time. It is concluded that both variables have no significant relationship with each other and time management skills do not affect students' school performance significantly. However, students should be aware of time wastage and take responsibility for enhancing their time management skills and maintaining their grade point average.},
language = {en},
number = {02},
urldate = {2025-03-07},
journal = {International Journal of Social Sciences and Humanities Invention},
author = {Napoles, Michael Art and Altubar, Jepril Ann B. and Anding, Hannah Kris T.},
month = feb,
year = {2023},
note = {Number: 02},
keywords = {Distance Learning, Online Learning, Time Management, /unread},
pages = {7731--7741},
file = {Full Text PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/FST4M46S/Napoles et al. - 2023 - The Role of Time Management to the Academic Performance of the College Students During Pandemic.pdf:application/pdf},
}
@article{masui_diligent_2014,
title = {Do diligent students perform better? {Complex} relations between student and course characteristics, study time, and academic performance in higher education},
volume = {39},
issn = {0307-5079},
shorttitle = {Do diligent students perform better?},
url = {https://doi.org/10.1080/03075079.2012.721350},
doi = {10.1080/03075079.2012.721350},
abstract = {Research has reported equivocal results regarding the relationship between study time investment and academic performance in higher education. In the setting of the active, assignment-based teaching approach at Hasselt University (Belgium), the present study aimed (a) to further clarify the role of study time in academic performance, while taking into account student characteristics (e.g. gender, prior domain knowledge), and (b) to examine the relation between a number of student and course characteristics and study time. Data included course-specific study time recordings across the entire term, grades for 14 courses, expert ratings of six course characteristics, and other data from the records of 168 freshmen in business economics. For most courses, study time predicted grades, even beyond student characteristics. However, there were differential results depending on the course considered, stressing the importance of examining relations at course level instead of globally across courses. As to study time, course characteristics were strong predictors.},
number = {4},
urldate = {2025-03-07},
journal = {Studies in Higher Education},
author = {Masui, Chris and Broeckmans, Jan and Doumen, Sarah and Groenen, Anne and Molenberghs, Geert},
month = apr,
year = {2014},
note = {Publisher: SRHE Website
\_eprint: https://doi.org/10.1080/03075079.2012.721350},
keywords = {academic performance, study time, higher education, learning environment, self-regulated learning, student characteristics, /unread, ⭐⭐⭐⭐},
pages = {621--643},
file = {Submitted Version:/home/andreas/workspace/work/hiwi/Zotero/storage/S7W5636G/Masui et al. - 2014 - Do diligent students perform better Complex relations between student and course characteristics, s.pdf:application/pdf},
}
@article{plant_why_2005,
title = {Why study time does not predict grade point average across college students: {Implications} of deliberate practice for academic performance},
volume = {30},
shorttitle = {Why study time does not predict grade point average across college students},
abstract = {The current work draws upon the theoretical framework of deliberate practice in order to clarify why the amount of study by college students is a poor predictor of academic performance. A model was proposed where performance in college, both cumulatively and for a current semester, was jointly determined by previous knowledge and skills as well as factors indicating quality (e.g., study environment) and quantity of study. The findings support the proposed model and indicate that the amount of study only emerged as a significant predictor of cumulative GPA when the quality of study and previously attained performance were taken into consideration. The findings are discussed in terms of the insights provided by applying the framework of deliberate practice to academic performance in a university setting.},
number = {1},
journal = {Contemporary Educational Psychology},
author = {Plant, E. Ashby and Ericsson, K. Anders and Hill, Len and Asberg, Kia},
month = jan,
year = {2005},
keywords = {Academic performance, Deliberate practice, Grade point average, Study habits, Study time, /unread, ⭐⭐⭐},
pages = {96--116},
file = {ScienceDirect Full Text PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/6CLRGKBL/Plant et al. - 2005 - Why study time does not predict grade point average across college students Implications of deliber.pdf:application/pdf;ScienceDirect Snapshot:/home/andreas/workspace/work/hiwi/Zotero/storage/I7AWASSH/S0361476X04000384.html:text/html},
}
@article{schuman_effort_1985,
title = {Effort and {Reward}: {The} {Assumption} that {College} {Grades} {Are} {Affected} by {Quantity} of {Study}},
volume = {63},
shorttitle = {Effort and {Reward}},
abstract = {The relation between college grades and self-reported amount of effort was examined in four major and several minor investigations of undergraduates in a large state university. Grades were operationalized mainly by using grade point average (GPA), though in one investigation grades in a particular course were the focus. Effort was measured in several different ways, ranging from student estimates of typical study over the term to reports of study on specific days. Despite evidence that these self-reports provide meaningful estimates of actual studying, there is at best only a very small relation between amount of studying and grades, as compared to the considerably stronger and more monotonic relations between grades and both aptitude measures and self-reported class attendance. The plausible assumption that college grades reflect student effort to an important extent does not receive much support from these investigations. This raises a larger question about the extent to which rewards are linked to effort in other areas of life—a connection often assumed but seldom investigated.},
number = {4},
journal = {Social Forces},
author = {Schuman, Howard and Walsh, Edward and Olson, Camille and Etheridge, Barbara},
month = jun,
year = {1985},
keywords = {/unread, ⭐⭐⭐⭐⭐},
pages = {945--966},
file = {Full Text PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/ST8F6X85/Schuman et al. - 1985 - Effort and Reward The Assumption that College Grades Are Affected by Quantity of Study.pdf:application/pdf;Snapshot:/home/andreas/workspace/work/hiwi/Zotero/storage/6ZFY7KPK/2232109.html:text/html},
}
@misc{e_g_williamson_relationship_1935,
title = {The relationship of number of hours of study to scholarship.},
url = {https://psycnet.apa.org/record/1936-02704-001},
abstract = {A study based on the reported hours of study of 257 freshmen at the University of Minnesota during the week just prior to mid-quarter examinations. The mean hours of study were 27.09; the {\textless}em{\textgreater}r{\textless}/em{\textgreater} between scholarship and hours of study was-.06; the {\textless}em{\textgreater}r{\textless}/em{\textgreater} between scores on the Minnesota college aptitude test and hours of study was -.20. A comparison of these results with other studies is given, and it is concluded that the location of the week used in this study probably makes the new data closer approximations to the true relationships. The student of low ability must study more than the student of high ability, but the increase will not necessarily result in much higher scholarship. (PsycINFO Database Record (c) 2016 APA, all rights reserved)},
language = {en-US},
urldate = {2025-03-07},
journal = {APA PsycNET},
author = {{E. G. Williamson}},
year = {1935},
doi = {10.1037/h0056481},
keywords = {/unread, ⭐⭐},
file = {PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/IIVGJSV8/The relationship of number of hours of study to scholarship..pdf:application/pdf;Snapshot:/home/andreas/workspace/work/hiwi/Zotero/storage/F4ZN6958/1936-02704-001.html:text/html},
}
@article{kember_learning_1995,
title = {Learning approaches, study time and academic performance},
volume = {29},
issn = {1573-174X},
url = {https://doi.org/10.1007/BF01384497},
doi = {10.1007/BF01384497},
abstract = {This study investigated the relationship between learning approach, time spent studying and grades awarded. A class of mechanical engineering students (N=34; male) were asked to keep an hour-by-hour study diary for one week. The Biggs' Study Process Questionnaire (SPQ) provided measures of these students' approach to study tasks. Use of a surface approach to learning was found to be positively correlated with both high attendance in class and greater hours of independent study time. The former is explained by the surface learner's need for the lecturer to define the course; the latter by the inefficiency of a surface approach. Poor grades in spite of long study hours mirror an inefficient surface approach. This finding suggests the need for individual study counselling. Case studies show that the use of a deep approach does not result in good grades unless accompanied by sufficient work. The diary method in conjunction with the SPQ appears to be a promising method for researching workload, study times and other related variables.},
language = {en},
number = {3},
urldate = {2025-03-07},
journal = {Higher Education},
author = {Kember, David and Jamieson, Qun Wang and Pomfret, Mike and Wong, Eric T. T.},
month = apr,
year = {1995},
keywords = {Academic Performance, Learn Approach, Mechanical Engineering, Promising Method, Study Time, /unread, ⭐⭐},
pages = {329--343},
file = {Full Text PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/G8WUZWIJ/Kember et al. - 1995 - Learning approaches, study time and academic performance.pdf:application/pdf},
}
@article{schuman_comment_2001,
title = {Comment: {Students}' {Effort} and {Reward} in {College} {Settings}},
volume = {74},
issn = {0038-0407},
shorttitle = {Comment},
url = {https://www.jstor.org/stable/2673146},
doi = {10.2307/2673146},
number = {1},
urldate = {2025-03-08},
journal = {Sociology of Education},
author = {Schuman, Howard},
year = {2001},
note = {Publisher: [Sage Publications, Inc., American Sociological Association]},
keywords = {/unread, ⭐⭐⭐},
pages = {73--74},
file = {JSTOR Full Text PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/AYBTRUSF/Schuman - 2001 - Comment Students' Effort and Reward in College Settings.pdf:application/pdf},
}
@article{hill_effort_1990,
title = {Effort and {Reward} in {College}: {A} {Replication} of {Some} {Puzzling} {Findings}},
volume = {5},
issn = {0886-1641},
shorttitle = {Effort and {Reward} in {College}},
url = {https://www.proquest.com/docview/1292260741/citation/16AEB9E8A9FF44E0PQ/1},
language = {English},
number = {4},
urldate = {2025-03-08},
journal = {Journal of Social Behavior and Personality},
author = {Hill, Lester},
year = {1990},
note = {Num Pages: 11
Place: Corte Madera, CA, United States
Publisher: Select Press},
keywords = {Psychology, Social Sciences (General), Sociology, /unread, ⭐⭐⭐},
pages = {151--161},
file = {Full Text PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/X69I8QXV/Hill - 1990 - Effort and Reward in College A Replication of Some Puzzling Findings.pdf:application/pdf},
}
@article{rau_academic_2000,
title = {The {Academic} {Ethic} and {College} {Grades}: {Does} {Hard} {Work} {Help} {Students} to "{Make} the {Grade}"?},
volume = {73},
issn = {0038-0407},
shorttitle = {The {Academic} {Ethic} and {College} {Grades}},
url = {https://www.jstor.org/stable/2673197},
doi = {10.2307/2673197},
abstract = {Most scholars and teachers accept, as part of the natural order of the universe, a strong relationship between study efforts and students' academic performance. Yet, the only systematic investigation of this relationship, a 12-year project at the University of Michigan, repeatedly found little to no correlation between hours studied and grades. The study presented here replicated parts of this project but did so with a different conceptualization of effort. This new perspective views effort as the outcome of an "academic ethic," a student worldview that emphasizes diligent, daily, and sober study. This article shows how this concept can be operationalized and measured and provides evidence for its existence among some students at Illinois State University. It then shows a significant and meaningful relationship between methodical, disciplined study and academic performance. It closes by considering how the selectivity of colleges and universities would affect the findings and suggests some new directions for research.},
number = {1},
urldate = {2025-03-08},
journal = {Sociology of Education},
author = {Rau, William and Durand, Ann},
year = {2000},
note = {Publisher: [Sage Publications, Inc., American Sociological Association]},
keywords = {/unread, ⭐⭐⭐},
pages = {19--38},
file = {JSTOR Full Text PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/H58YHZEJ/Rau and Durand - 2000 - The Academic Ethic and College Grades Does Hard Work Help Students to Make the Grade.pdf:application/pdf},
}
@book{gross_fundamentals_2008,
address = {Hoboken, NJ},
edition = {4. ed},
series = {Wiley series in probability and statistics},
title = {Fundamentals of queueing theory},
isbn = {978-0-471-79127-0},
language = {eng},
publisher = {Wiley},
author = {Gross, Donald and Shortle, John F. and Thompson, James M. and Harris, Carl M.},
year = {2008},
keywords = {/unread, Queuing theory, Warteschlangentheorie},
file = {Ebook:/home/andreas/workspace/work/hiwi/Zotero/storage/ZGBENDHH/Gross et al. - 2008 - Fundamentals of queueing theory.epub:application/epub+zip},
}
@book{stewart_probability_2009,
title = {Probability, {Markov} {Chains}, {Queues}, and {Simulation}: {The} {Mathematical} {Basis} of {Performance} {Modeling}},
shorttitle = {Probability, {Markov} {Chains}, {Queues}, and {Simulation}},
abstract = {Probability, Markov Chains, Queues, and Simulation provides a modern and authoritative treatment of the mathematical processes that underlie performance modeling. The detailed explanations of mathematical derivations and numerous illustrative examples make this textbook readily accessible to graduate and advanced undergraduate students taking courses in which stochastic processes play a fundamental role. The textbook is relevant to a wide variety of fields, including computer science, engineering, operations research, statistics, and mathematics.The textbook looks at the fundamentals of probability theory, from the basic concepts of set-based probability, through probability distributions, to bounds, limit theorems, and the laws of large numbers. Discrete and continuous-time Markov chains are analyzed from a theoretical and computational point of view. Topics include the Chapman-Kolmogorov equations; irreducibility; the potential, fundamental, and reachability matrices; random walk problems; reversibility; renewal processes; and the numerical computation of stationary and transient distributions. The M/M/1 queue and its extensions to more general birth-death processes are analyzed in detail, as are queues with phase-type arrival and service processes. The M/G/1 and G/M/1 queues are solved using embedded Markov chains; the busy period, residual service time, and priority scheduling are treated. Open and closed queueing networks are analyzed. The final part of the book addresses the mathematical basis of simulation.Each chapter of the textbook concludes with an extensive set of exercises. An instructor's solution manual, in which all exercises are completely worked out, is also available (to professors only).Numerous examples illuminate the mathematical theoriesCarefully detailed explanations of mathematical derivations guarantee a valuable pedagogical approachEach chapter concludes with an extensive set of exercises},
publisher = {Princeton University Press},
author = {Stewart, William J.},
month = jul,
year = {2009},
keywords = {Mathematics / Applied, /unread, Computers / Data Science / Data Modeling \& Design, Mathematics / Probability \& Statistics / General, Technology \& Engineering / Engineering (General)},
file = {PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/L2FEI8HG/Stewart - 2009 - Probability, Markov Chains, Queues, and Simulation The Mathematical Basis of Performance Modeling.pdf:application/pdf},
}

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\documentclass[journal]{IEEEtran}
\usepackage{amsmath,amsfonts}
\usepackage{siunitx}
\usepackage{mleftright}
\usepackage{float}
\usepackage{titlesec}
\usepackage[
backend=biber,
style=ieee,
sorting=nty,
]{biblatex}
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\usepgfplotslibrary{statistics}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Template modifications
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\titlespacing*{\section}{0mm}{3mm}{1mm}
\makeatletter
\def\@maketitle{%
\newpage
\null
\vspace*{-4mm}
\begin{center}%
{\Huge \linespread{0.9}\selectfont \@title \par}%
{\large \lineskip .5em%
\begin{tabular}[t]{c}%
\@author
\end{tabular}
\par}%
\end{center}%
\vspace*{-8mm}
}
\makeatother
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Inputs & Global Options
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%
% Figures
%
\input{common.tex}
\pgfplotsset{colorscheme/rocket}
\newcommand{\figwidth}{\columnwidth}
\newcommand{\figheight}{0.5\columnwidth}
\pgfplotsset{
FERPlot/.style={
line width=1pt,
densely dashed,
},
BERPlot/.style={
line width=1pt,
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DFRPlot/.style={
only marks,
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%
% Bibliography
%
\addbibresource{paper.bib}
\AtBeginBibliography{\footnotesize}
%
% Custom commands
%
\newcommand\todo[1]{\textcolor{red}{#1}}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Title, Header, Footer, etc.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\begin{document}
\title{\vspace{-3mm}The Effect of the Choice of Hydration Strategy on
Average Academic
Performance}
\author{Some concerned fellow students%
\thanks{The authors would like to thank their hard-working peers as
well as the staff of the KIT library for their unknowing - but vital
- participation.}}
\markboth{Journal of the Association of KIT Bibliophiles}{The Effect
of the Choice of Hydration Strategy on Average Academic Performance}
\maketitle
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Abstract & Index Terms
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\begin{abstract}
We evaluate the relationship between hydration strategy and
academic performance and project that by using the right button
of the water dispenser to fill up their water bottles, students
can potentially gain up to \SI{4.14}{\second} of study time per
refill, which amounts to raising their grades by up to
$0.0003$ points.
\end{abstract}
\begin{IEEEkeywords}
KIT Library, Academic Performance, Hydration
\end{IEEEkeywords}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Content
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\vspace*{-5mm}
%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Introduction}
% TODO: "The right strategy" pun?
\IEEEPARstart{T}{he} concepts of hydration and study have always been
tightly interwoven. As an example, an investigation was once
conducted by Bell Labs into the productivity of their employees, that
found that ``workers with the most patents often shared lunch or
breakfast with a Bell Labs electrical engineer named Harry Nyquist''
\cite{gertner_idea_2012}, and we presume that they also paired their
food with something to drink. We can see that intellectual
achievement and fluid consumption are related even for the most
prestigious research institutions.
In this work, we quantify this relationship in the context of
studying at the KIT library and subsequently develop a novel and
broadly applicable strategy to leverage it to improve the academic
performance of KIT students.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Experimental Setup}
Over a period of one week, we monitored the use of the water
dispenser on the ground floor of the KIT library at random times
during the day. The experiment comprised two parts: a system
measurement to determine the flowrate of the water dispenser, and a
behavioural measurement, i.e., a record of participants' chosen
hydration strategies: $S_\text{L}$ denotes pressing the left
button of the water dispenser, $S_\text{R}$ the right one, and
$S_\text{B}$ pressing both buttons.
For the system measurement $10$ datapoints were recorded for each
strategy, for the behavioural measurement $113$ in total.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Experimental Results}
\begin{figure}[H]
\centering
\vspace*{-4mm}
\begin{tikzpicture}
\begin{axis}[
width=0.8\columnwidth,
height=0.35\columnwidth,
boxplot/draw direction = x,
grid,
ytick = {1, 2, 3},
yticklabels = {$S_\text{B}$ (Both buttons),
$S_\text{R}$ (Right button), $S_\text{L}$ (Left button)},
xlabel = {Flowrate (\si{\milli\litre\per\second})},
]
\addplot[boxplot, fill, scol1, draw=black]
table[col sep=comma, x=flowrate]
{res/flowrate_both.csv};
\addplot[boxplot, fill, scol2, draw=black]
table[col sep=comma, x=flowrate]
{res/flowrate_right.csv};
\addplot[boxplot, fill, scol3, draw=black]
table[col sep=comma, x=flowrate]
{res/flowrate_left.csv};
\end{axis}
\end{tikzpicture}
\vspace*{-3mm}
\caption{Flow rate of the water dispenser depending on the
hydration strategy.}
\label{fig:System}
\vspace*{-2mm}
\end{figure}
Fig. \ref{fig:System} shows the results of the system measurement.
To investigate the difference in flowrate between strategies, we used
a Mann Whitney U test, because of its nonparametric nature.
We found that $S _\text{L}$ was slower than
$S_\text{R}$ with a significance of $p < 0.01$, while no
statistically significant difference was found between $S_\text{R}$ and
$S_\text{B}$. The results of the behavioural measurement are shown in
Fig. \ref{fig:Behavior}.
\begin{figure}[H]
\centering
\vspace*{-2mm}
\begin{tikzpicture}
\begin{axis}[
ybar,
bar width=15mm,
width=\columnwidth,
height=0.35\columnwidth,
area style,
xtick = {0, 1, 2},
grid,
ymin = 0,
enlarge x limits=0.3,
xticklabels = {\footnotesize{$S_\text{L}$ (Left
button)}, \footnotesize{$S_\text{R}$ (Right
button)}, \footnotesize{$S_\text{B}$} (Both buttons)},
ylabel = {No. chosen},
]
\addplot+[ybar,mark=no,fill=scol1] table[skip first n=1,
col sep=comma, x=button, y=count]
{res/left_right_distribution.csv};
\end{axis}
\end{tikzpicture}
\vspace*{-3mm}
\caption{Distribution of the choice of hydration strategy.}
\label{fig:Behavior}
\end{figure}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Modelling the grade improvement}
We can consider the water dispenser and students as comprising a
queueing system, specifically an M/G/1 queue
\cite{stewart_probability_2009}. The expected response time, i.e.,
the time spent waiting as well as the time dispensing water, is
\cite[Section 14.3]{stewart_probability_2009}%
%
\begin{align*}
W = E\mleft\{ S \mright\} + \frac{\lambda \cdot E\mleft\{ S^2
\mright\}}{2\mleft( 1-\rho \mright)}
,%
\end{align*}%
%
where $S$ denotes the service time (i.e., the time spent refilling a
bottle), $\lambda$ the mean arrival rate, and $\rho = \lambda \cdot
E\mleft\{ S \mright\}$ the system utilisation. Using our experimental
data we can approximate all parameters and obtain $W \approx
\SI{23.3}{\second}$. The difference to always using the fastest
strategy amounts to $\SI{4.14}{\second}$.
Strangely, it is the consensus of current research that there is only
a weak relationship between academic performance and hours studied
\cite{plant_why_2005}. Observing Figure 1 in
\cite[p. 950]{schuman_effort_1985} and performing a linear regression,
we quantified the grade gain per additional hour studied as
$\SI{0.054}{points/hour}$. Using an estimate of 5 refills per day, we
thus predict a possible gain of up to $0.0003$ points.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Discussion and Conclusion}
Further research is needed, particularly on the modelling of the
arrival process and the relationship between the response time and
the grade gain. Nevertheless, we believe this work serves as a solid
first step on the path towards achieving optimal study behaviour.
In this study, we investigated how the choice of hydration strategy
affects average academic performance. We found that always choosing
to press the right button leads to an average time gain of
\SI{4.14}{\second} per refill, which translates into a grade
improvement of up to $0.0003$ points. We thus propose a novel and
broadly applicable strategy to boost the average academic performance
of KIT students: always using the right button.
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Bibliography
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\printbibliography
\end{document}

11
res/flowrate_both.csv Normal file
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index,flowrate
0,42.47104247
1,46.41350211
2,42.80155642
3,43.8247012
4,42.63565891
5,40
6,43.8247012
7,44
8,43.8247012
9,46.21848739
1 index flowrate
2 0 42.47104247
3 1 46.41350211
4 2 42.80155642
5 3 43.8247012
6 4 42.63565891
7 5 40
8 6 43.8247012
9 7 44
10 8 43.8247012
11 9 46.21848739

11
res/flowrate_left.csv Normal file
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@@ -0,0 +1,11 @@
index,flowrate
0,25.46296296
1,24.49888641
2,25.88235294
3,25.17162471
4,25.94339623
5,26.5060241
6,25.17162471
7,27.29528536
8,27.5
9,24.88687783
1 index flowrate
2 0 25.46296296
3 1 24.49888641
4 2 25.88235294
5 3 25.17162471
6 4 25.94339623
7 5 26.5060241
8 6 25.17162471
9 7 27.29528536
10 8 27.5
11 9 24.88687783

11
res/flowrate_right.csv Normal file
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@@ -0,0 +1,11 @@
index,flowrate
0,42.47104247
1,42.14559387
2,47.00854701
3,37.03703704
4,43.1372549
5,39.14590747
6,37.93103448
7,38.32752613
8,37.54266212
9,38.19444444
1 index flowrate
2 0 42.47104247
3 1 42.14559387
4 2 47.00854701
5 3 37.03703704
6 4 43.1372549
7 5 39.14590747
8 6 37.93103448
9 7 38.32752613
10 8 37.54266212
11 9 38.19444444

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@@ -0,0 +1,114 @@
time,button
28,left
22,left
17,left
40,left
24,left
41,left
11,left
11,left
26.56,left
37,left
30,left
30,left
8,left
21,left
20,left
19,left
28,left
20,left
21,left
16.43,left
16,left
29,left
20,left
24,left
22,left
15,left
13,left
22,left
23,left
40,left
19.8,left
35.38,left
21,left
16.3,left
29.3,left
30.3,left
30.2,left
25,left
14,left
14.1,left
40,left
24.4,left
5.2,left
50,left
29.7,left
39,left
17,left
40.7,left
27.3,left
19.8,left
7.55,right
14,right
9,right
13,right
5,right
13,right
13.58,right
15.58,right
25,right
20,right
14,right
13,right
14,right
13.3,right
19,right
13,right
10,right
15,right
14,right
19.4,right
12.8,right
13.5,right
19.31,right
27.5,right
13.1,right
23.6,right
15,right
18.7,right
18,right
12.7,right
40.3,right
12.86,right
22.9,right
10,right
20,right
12,right
19,right
39.8,right
20,both
20,both
15,both
19,both
13,both
7,both
15,both
17.3,both
12,both
23,both
11.26,both
35.66,both
13.54,both
27.81,both
16.83,both
17.13,both
17.8,both
39,both
11,both
13.6,both
21.7,both
14.25,both
12,both
12.9,both
12.35,both
1 time button
2 28 left
3 22 left
4 17 left
5 40 left
6 24 left
7 41 left
8 11 left
9 11 left
10 26.56 left
11 37 left
12 30 left
13 30 left
14 8 left
15 21 left
16 20 left
17 19 left
18 28 left
19 20 left
20 21 left
21 16.43 left
22 16 left
23 29 left
24 20 left
25 24 left
26 22 left
27 15 left
28 13 left
29 22 left
30 23 left
31 40 left
32 19.8 left
33 35.38 left
34 21 left
35 16.3 left
36 29.3 left
37 30.3 left
38 30.2 left
39 25 left
40 14 left
41 14.1 left
42 40 left
43 24.4 left
44 5.2 left
45 50 left
46 29.7 left
47 39 left
48 17 left
49 40.7 left
50 27.3 left
51 19.8 left
52 7.55 right
53 14 right
54 9 right
55 13 right
56 5 right
57 13 right
58 13.58 right
59 15.58 right
60 25 right
61 20 right
62 14 right
63 13 right
64 14 right
65 13.3 right
66 19 right
67 13 right
68 10 right
69 15 right
70 14 right
71 19.4 right
72 12.8 right
73 13.5 right
74 19.31 right
75 27.5 right
76 13.1 right
77 23.6 right
78 15 right
79 18.7 right
80 18 right
81 12.7 right
82 40.3 right
83 12.86 right
84 22.9 right
85 10 right
86 20 right
87 12 right
88 19 right
89 39.8 right
90 20 both
91 20 both
92 15 both
93 19 both
94 13 both
95 7 both
96 15 both
97 17.3 both
98 12 both
99 23 both
100 11.26 both
101 35.66 both
102 13.54 both
103 27.81 both
104 16.83 both
105 17.13 both
106 17.8 both
107 39 both
108 11 both
109 13.6 both
110 21.7 both
111 14.25 both
112 12 both
113 12.9 both
114 12.35 both

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# 0=left, 1=right, 2=both
button,count
0,50
1,38
2,25
1 # 0=left, 1=right, 2=both
2 button,count
3 0,50
4 1,38
5 2,25

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import pandas as pd
import numpy as np
filename_participants = "res/full_participant_measurement.csv"
filename_left = "res/flowrate_left.csv"
filename_right = "res/flowrate_right.csv"
filename_both = "res/flowrate_both.csv"
arrival_rate = 1 / 36.66 # Measured
def get_response_time_and_utilization(S, arrival_rate):
df = pd.read_csv(filename_participants)
E_S = S.mean()
E_S2 = (S**2).mean()
utilization = arrival_rate * E_S
W = E_S + (arrival_rate * E_S2) / 2*(1 - utilization)
return W, utilization
def print_response_time():
df = pd.read_csv(filename_participants)
S = df["time"]
W, rho = get_response_time_and_utilization(S, arrival_rate)
print(f"//")
print(f"// Response time")
print(f"// ")
print(f" E{{S}} = {S.mean():.3f} s")
print(f"1/lambda = {1/arrival_rate:.3f} s")
print(f" rho = {rho:.3f}")
print(f" W = {W:.3f} s")
def print_best_achievable_response_time():
# Get mean flowrates
df_left = pd.read_csv(filename_left)
df_right = pd.read_csv(filename_right)
df_both = pd.read_csv(filename_both)
flowrate_left = np.mean(np.array(df_left["flowrate"]))
flowrate_right = np.mean(np.array(df_right["flowrate"]))
flowrate_both = np.mean(np.array(df_both["flowrate"]))
# Convert service times to what they would be with the best strategy
df_part = pd.read_csv(filename_participants)
times_left = np.array(df_part[df_part["button"] == "left"]["time"])
times_right = np.array(df_part[df_part["button"] == "right"]["time"])
times_both = np.array(df_part[df_part["button"] == "both"]["time"])
sizes_left = times_left * flowrate_left
sizes_right = times_right * flowrate_right
sizes_both = times_both * flowrate_both
sizes = np.concatenate([sizes_left, sizes_right, sizes_both])
S = sizes / flowrate_right
# Calculate response time
W, rho = get_response_time_and_utilization(S, arrival_rate)
print(f"//")
print(f"// Best possible response time")
print(f"// ")
print(f" E{{S}} = {S.mean():.3f} s")
print(f"1/lambda = {1/arrival_rate:.3f} s")
print(f" rho = {rho:.3f}")
print(f" W = {W:.3f} s")
def main():
print_response_time()
print_best_achievable_response_time()
if __name__ == "__main__":
main()

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import numpy as np
import pandas as pd
filename_participants = "res/full_participant_measurement.csv"
filename_left = "res/flowrate_left.csv"
filename_right = "res/flowrate_right.csv"
filename_both = "res/flowrate_both.csv"
def main():
# Get bottle fillup times
df_part = pd.read_csv(filename_participants)
times_left = np.array(df_part[df_part["button"] == "left"]["time"])
times_right = np.array(df_part[df_part["button"] == "right"]["time"])
times_both = np.array(df_part[df_part["button"] == "both"]["time"])
# Get mean flowrates
df_left = pd.read_csv(filename_left)
df_right = pd.read_csv(filename_right)
df_both = pd.read_csv(filename_both)
flowrate_left = np.mean(np.array(df_left["flowrate"]))
flowrate_right = np.mean(np.array(df_right["flowrate"]))
flowrate_both = np.mean(np.array(df_both["flowrate"]))
# Calculate mean bottle size
sizes_left = times_left * flowrate_left
sizes_right = times_right * flowrate_right
sizes_both = times_both * flowrate_both
sizes = np.concatenate([sizes_left, sizes_right, sizes_both])
mean_size = np.mean(sizes)
print(f"Mean bottle size: {mean_size}")
if __name__ == "__main__":
main()

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import matplotlib.pyplot as plt
from scipy import stats
import numpy as np
import argparse
def main():
"""
[1] H. Schuman, E. Walsh, C. Olson, and B. Etheridge, “Effort and Reward:
The Assumption that College Grades Are Affected by Quantity of Study*,”
Social Forces, vol. 63, no. 4, pp. 945966, June 1985.
"""
# [1, p. 950]
hours_studied = np.array([1, 2.5, 3.5, 4.5, 5.5, 6.5])
gpa = np.array([2.94, 2.91, 2.97, 2.86, 3.25, 3.18])
# Parse command line arguments
parser = argparse.ArgumentParser()
parser.add_argument("--plot", action="store_true")
args = parser.parse_args()
# Compute Spearman rank order correlation
corr, p = stats.spearmanr(hours_studied, gpa)
print("======== Spearman rank order correlation ========")
print(f"Correlation: {corr}")
print(f"p-value: {p}")
# Perform linear regression
slope, intercept, r, p, std_err = stats.linregress(hours_studied, gpa)
print("======== Linear regression ========")
print(f"slope: {slope:.8f} points/hour = {slope / (60 * 60):.8f} points/second")
# Printing the p-value here doesn't make much sense, because we don't know
# whether the assumptions for the test are satisfied
if args.plot:
plt.plot(hours_studied, gpa, label="Plot from publication")
plt.plot(hours_studied, slope * hours_studied + intercept, label="Best fit")
plt.xlabel("Hours studied")
plt.ylabel("GPA")
plt.legend()
plt.show()
if __name__ == "__main__":
main()

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from scipy.stats import mannwhitneyu
import pandas as pd
import numpy as np
filename_left = "res/flowrate_left.csv"
filename_right = "res/flowrate_right.csv"
filename_both = "res/flowrate_both.csv"
def main():
df_left = pd.read_csv(filename_left)
flowrate_left = np.array(df_left["flowrate"])
df_right = pd.read_csv(filename_right)
flowrate_right = np.array(df_right["flowrate"])
df_both = pd.read_csv(filename_both)
flowrate_both = np.array(df_both["flowrate"])
U_lr, p_lr = mannwhitneyu(flowrate_left, flowrate_both, method="exact")
U_rb, p_rb = mannwhitneyu(flowrate_right, flowrate_both, method="exact")
print(f"Left-Right: p = {p_lr}")
print(f"Right-Both: p = {p_rb}")
if __name__ == "__main__":
main()

1
tex-fmt.toml Normal file
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@@ -0,0 +1 @@
tabsize = 4