Update README.md

README.md

@@ -1,6 +1,6 @@
 # KIT Library Hydration Study
 
-Latex sources for a paper on the behavior of students at the KIT library with
+Latex sources for a paper on the behaviour of students at the KIT library with
 regard to their water bottle refilling habits.
 
 ## Build
@@ -17,7 +17,7 @@ $ make
    ```bash
    $ docker build -f Dockerfile . -t bib-paper
    ```
-2. Build examples
+2. Build document
    ```bash
    $ docker run --rm -v $PWD:$PWD -w $PWD -u `id -u`:`id -g` bib-paper make
    ```

paper.bib

@@ -5,15 +5,101 @@
   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},
 }
@@ -21,24 +107,31 @@
 @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?},
+	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},
-	keywords = {academic performance, study time, Teaching/Communication/Extension/Profession, time management},
+	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},
 }
 
@@ -56,7 +149,9 @@
 	author = {Rooney, Karen and Polloway, Edward A. and Hallahan, Daniel P.},
 	month = aug,
 	year = {1985},
-	note = {Publisher: SAGE Publications Inc},
+	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},
 }
@@ -77,7 +172,7 @@
 	month = feb,
 	year = {2023},
 	note = {Number: 02},
-	keywords = {Distance Learning, Online Learning, Time Management},
+	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},
 }
@@ -98,7 +193,7 @@
 	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},
+	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},
 }
@@ -106,18 +201,14 @@
 @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},
-	issn = {0361-476X},
 	shorttitle = {Why study time does not predict grade point average across college students},
-	url = {https://www.sciencedirect.com/science/article/pii/S0361476X04000384},
-	doi = {10.1016/j.cedpsych.2004.06.001},
 	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},
-	urldate = {2025-03-07},
 	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},
+	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},
 }
@@ -132,11 +223,12 @@
 	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_nodate,
+@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)},
@@ -144,7 +236,9 @@
 	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},
 }
 
@@ -162,7 +256,7 @@
 	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},
+	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},
 }
@@ -180,6 +274,7 @@
 	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},
 }
@@ -199,7 +294,7 @@
 	note = {Num Pages: 11
 Place: Corte Madera, CA, United States
 Publisher: Select Press},
-	keywords = {Psychology, Social Sciences (General), Sociology},
+	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},
 }
@@ -218,6 +313,7 @@ Publisher: Select Press},
 	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},
 }
@@ -238,15 +334,12 @@ Publisher: Select Press},
 
 @book{stewart_probability_2009,
 	title = {Probability, {Markov} {Chains}, {Queues}, and {Simulation}: {The} {Mathematical} {Basis} of {Performance} {Modeling}},
-	isbn = {978-1-4008-3281-1},
 	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},
-	language = {en},
 	publisher = {Princeton University Press},
 	author = {Stewart, William J.},
 	month = jul,
 	year = {2009},
-	note = {Google-Books-ID: ZfRyBS1WbAQC},
 	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},
 }

paper.tex

@@ -1,31 +1,44 @@
 \documentclass[journal]{IEEEtran}
 
 \usepackage{amsmath,amsfonts}
-\usepackage{float}
-\usepackage{algorithmic}
-\usepackage{algorithm}
 \usepackage{siunitx}
-\usepackage[normalem]{ulem}
-\usepackage{dsfont}
 \usepackage{mleftright}
-\usepackage{bbm}
+\usepackage{float}
+\usepackage{titlesec}
 \usepackage[
     backend=biber,
     style=ieee,
     sorting=nty,
 ]{biblatex}
 
-\usepackage{tikz}
-\usetikzlibrary{spy, arrows.meta,arrows}
-
 \usepackage{pgfplots}
 \pgfplotsset{compat=newest}
 \usepgfplotslibrary{statistics}
 
-\usepackage{pgfplotstable}
+%
-\usepackage{filecontents}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Template modifications
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
 
-\hyphenation{op-tical net-works semi-conduc-tor IEEE-Xplore}
+\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
 
 %
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -64,9 +77,7 @@
 \AtBeginBibliography{\footnotesize}
 
 %
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Custom commands
-% Title, Header, Footer, etc.
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
 
 \newcommand\todo[1]{\textcolor{red}{#1}}
@@ -79,16 +90,17 @@
 
 \begin{document}
 
-\title{The Effect of the Choice of Hydration Strategy on Average Academic
+\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
+    \thanks{The authors would like to thank their hard-working peers as
-        the staff of the KIT library for their unknowing - but vital -
+        well as the staff of the KIT library for their unknowing - but vital
-participation.}}
+- participation.}}
 
-\markboth{Journal of the Association of KIT Bibliophiles}{The
+\markboth{Journal of the Association of KIT Bibliophiles}{The Effect
-Effect of the Choice of Hydration Strategy on Average Academic Performance}
+of the Choice of Hydration Strategy on Average Academic Performance}
 
 \maketitle
 
@@ -99,10 +111,11 @@ Effect of the Choice of Hydration Strategy on Average Academic Performance}
 %
 
 \begin{abstract}
-    We evaluate the \todo{\ldots} and project that by using the right button of
+    We evaluate the relationship between hydration strategy and
-    the water dispenser to fill up their water bottles, students can potentially
+    academic performance and project that by using the right button
-    gain up to \todo{5 minutes} of study time a day, which is equivalent to
+    of the water dispenser to fill up their water bottles, students
-    raising their grades by up to \todo{0.01} levels.
+    can potentially gain up to \SI{4.14}{\second} of study time per
+    refill, which is amounts to raising their grades by up to 0.00103 points.
 \end{abstract}
 
 \begin{IEEEkeywords}
@@ -115,45 +128,42 @@ Effect of the Choice of Hydration Strategy on Average Academic Performance}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
 
-\vspace*{-1mm}
+\vspace*{-5mm}
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%
 \section{Introduction}
 
-\IEEEPARstart{T}{he} concepts of hydration and study have always been tightly
+% TODO: "The right strategy" pun?
-interwoven. As an example, an investigation was once conducted by Bell Labs
+
-into the productivity of their employees that found that ``workers with the
+\IEEEPARstart{T}{he} concepts of hydration and study have always been
-most patents often shared lunch or breakfast with a Bell Labs electrical
+tightly interwoven. As an example, an investigation was once
-engineer named Harry Nyquist'' \cite{gertner_idea_2012}, and we presume that
+conducted by Bell Labs into the productivity of their employees that
-they also paired their food with something to drink. We can see that
+found that ``workers with the most patents often shared lunch or
-intellectual achievement and fluid consumption are related even for the most
+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
+In this work, we quantify this relationship in the context of
-KIT library and subsequently develop a novel and broadly applicable strategy
+studying at the KIT library and subsequently develop a novel and
-to leverage it to improve the academic performance of KIT students.
+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 usage of the water dispenser
+Over a period of one week, we monitored the usage of the water
-on the ground floor of the KIT library at random times during the day.
+dispenser on the ground floor of the KIT library at random times
-The experiment comprised two parts, a system measurement to determine the
+during the day. The experiment comprised two parts, a system
-flowrate of the water dispenser, and a behavioral measurement, i.e., a recording
+measurement to determine the flowrate of the water dispenser, and a
-of the choice of hydration strategy of the participants: $S_\text{L}$ denotes
+behavioural measurement, i.e., a recording of the choice of hydration
-pressing the left button of the water dispenser, $S_\text{R}$ the right one,
+strategy of the participants: $S_\text{L}$ denotes pressing the left
-and $S_\text{B}$ pressing both buttons.
+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 system measurement $10$ datapoints were recorded for each
-for the behavioral measurement $113$ in total.
+strategy, for the behavioural measurement $113$ in total.
-
-% As is always the case with measurements, care must be taken not to alter
-% quantities by measuring them. To this end, we made sure only to take system
-% measurements in the absence of participants and to only record data on the
-% behaviour of participants discreetly.
-
-% TODO: Describe the actual measurement setup? (e.g., filling up a 0.7l bottle
-% and timing with a standard smartphone timer)
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \section{Experimental Results}
@@ -161,6 +171,7 @@ for the behavioral measurement $113$ in total.
 \begin{figure}[H]
     \centering
 
+    \vspace*{-4mm}
     \begin{tikzpicture}
         \begin{axis}[
                 width=0.8\columnwidth,
@@ -191,11 +202,23 @@ for the behavioral measurement $113$ in total.
     \caption{Flow rate of the water dispenser depending on the
     hydration strategy.}
     \label{fig:System}
+    \vspace*{-2mm}
 \end{figure}
 
-\begin{figure}
+Fig. \ref{fig:System} shows the results of the system measurement. We
+observe that $S_\text{L}$ is the slowest strategy, while $S_\text{R}$
+and $S_\text{B}$ are similar. Due to the small sample size and the
+unknown distribution, the test we chose to verify this observation is
+a Mann Whitney U test. We found that $S _\text{L}$ is faster than
+$S_\text{R}$ with a significance of $p < 0.0001$, while no
+significant statement could be made about $S_\text{R}$ and
+$S_\text{B}$. Fig. \ref{fig:Behavior} shows the results of the
+behavioural measurement.
+
+\begin{figure}[H]
     \centering
 
+    \vspace*{-2mm}
     \begin{tikzpicture}
         \begin{axis}[
                 ybar,
@@ -224,106 +247,51 @@ for the behavioral measurement $113$ in total.
     \label{fig:Behavior}
 \end{figure}
 
-Fig. \ref{fig:System} shows the results of the system measurement.
-We observe that $S_\text{L}$ is the slowest strategy, while $S_\text{R}$
-and $S_\text{B}$ are similar. Due to the small sample size and the
-unknown distribution, the test we chose to verify this observation is a Mann
-Whitney U test. We found that $S _\text{L}$ is faster than $S_\text{R}$ with a
-significance of $p < 0.0001$, while no significant statement could be made
-about $S_\text{R}$ and $S_\text{B}$.
-Fig. \ref{fig:Behavior} shows the results of the behavioral measurement.
-% During this part of the experiment, we also measured the time each participant
-% needed to fill up their bottle. Using the measured flowrates we calculated
-% the mean refill volume to be $\SI{673.92}{\milli\liter}$.
-
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\section{Discussion}
+\section{Modelling the grade improvement}
 
-We can consider the water dispenser and students as comprising a queueing
+We can consider the water dispenser and students as comprising a
-system, specifically an M/G/1 queue \cite{stewart_probability_2009}.
+queueing system, specifically an M/G/1 queue
-The expected response time, i.e., the time spent waiting as well as
+\cite{stewart_probability_2009}. The expected response time, i.e.,
-the time dispensing water, is \cite[Section 14.3]{stewart_probability_2009}%
+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 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 time, and $\rho = \lambda \cdot E\mleft\{
-S \mright\}$ the system utilization. Using our
-experimental data we can approximate all parameters and obtain
-\todo{$W \approx 123$}.
-% We examine the effects of the choice of hydration strategy. To
-% this end, we start by estimating the potential time savings possible by always
-% choosing the fastest strategy:%
-% %
-% % We can model the time needed for one person to refill their
-% bottle as a random
-% % variable (RV) $T_1 = V/R$ and the time saved by choosing the
-% fastest strategy
-% % as $\Delta T_1 = T_1 - V/\max r$, where $V$ and $R$ are RVs representing the
-% % bottle volume and flowrate. The potential time saving for the
-% last person in a
-% % queue of $N$ people is thus $\Delta T_N = N\cdot\Delta T_1$. We
-% can then model
-% % the total time savings as $\Delta T_\text{tot} = \sum_{n=1}^{N} \Delta T_n$,
-% % where N is an RV describing the queue length. Assuming the
-% independence of all
-% % RVs we can compute the mean total time savings as
-% %
-% \begin{gather*}
-%     T_1 = V/R, \hspace{3mm} \Delta T_1 = T_1 - V/\max R,
-% \hspace{3mm} \Delta T_n = n \cdot \Delta T_1 \\
-%     \Delta T_\text{tot} = \sum_{n=1}^{N} \Delta T_\text{n} =
-% \sum_{n=1}^{N} n \cdot \Delta T_1 = \Delta T_1 \frac{N\mleft( N+1
-% \mright)}{2} \\
-%     \Delta t := E\mleft\{ \Delta T_\text{tot} \mright\} = E\mleft\{
-% \Delta T_1 \mright\} \cdot \mleft[ E\mleft\{ N^2 \mright\} +
-% E\mleft\{ N \mright\} \mright]/2
-%     ,%
-% \end{gather*}
-% %
-% where $V$ and $R$ are random variables (RVs) representing the volume of a
-% bottle and the flowrate, $\Delta T_n$ describes the time the last of $n$
-% people saves, $\Delta T_\text{tot}$ the total time savings and $N$ the length
-% of the queue. It is plausible to assume independence of $R,V$ and $N$.
-% Using our experimental measurements we estimate $\todo{\Delta t =
-% \SI{20}{\second}}$
-
-Many attempts have been made in the literature to relate the time spent
-studying to academic achievement -  see, e.g.
-\cite{schuman_effort_1985, zulauf_use_1999, michaels_academic_1989,
-dickinson_effect_1990}.
-The overwhelming consensus is that there is a significant relationship,
-though it is a weak one.
 %
-\todo{
+where $S$ denotes the service time (i.e., the time spent refilling a
-    \begin{itemize}
+bottle), $\lambda$ the mean arrival rate, and $\rho = \lambda \cdot
-        \item Compute possible grade gain
+E\mleft\{ S \mright\}$ the system utilization. Using our experimental
-    \end{itemize}}
+data we can approximate all parameters and obtain $W \approx
-%Many of the studies were only performed over
+\SI{23.3}{\second}$. The difference to always using the fastest
-% a period of one week or even day, so we believe care should be taken when
+strategy amounts to $\SI{4.14}{\second}$.
-% generlizing these results. Nevertheless, the overwhelming consensus in the
+
-% literature is that a significant relationship exists, though it is a weak one.
+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}. The largest investigation into the matter
+found a correlation of $\rho = 0.18$ \cite{schuman_effort_1985}
+between GPA and average time spend studying per day. Using a rather
+high estimate of 5 refills per day, we predict a possible grade gain
+of up to $0.00103$ points.
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\section{Conclusion}
+\section{Discussion and Conclusion}
 
-In this study, we investigated how the choice of hydration strategy affects
+Further research is needed, particularly on the modelling of the
-the average academic performance. We found that always choosing to
+arrival process and the relationship between the response time gain
-press the right button leads to an average time gain of \todo{\SI{10}{\second}}
+the grade gain. Nevertheless, we believe this work serves as a solid
-per day, which translates into a grade improvement of $\todo{0.001}$ levels.
+first step on the path towards achieving optimal study behaviour.
-We thus propose a novel and broadly applicable strategy to boost the average
-academic performance of KIT students: always pressing the right button.
 
-% Further research is needed to develop a better model of how the choice of
+In this study, we investigated how the choice of hydration strategy
-% hydration strategy is related to academic performance. We
+affects average academic performance. We found that always choosing
-% suspect that there is a compounding effect that leads to $S_\text{L}$ being an
+to press the right button leads to an average time gain of
-% even worse choice of hydration strategy: When the queue is long, students are
+\SI{4.14}{\second} per refill, which translates into a grade
-% less likely to refill their empty water bottles, leading to reduced mental
+improvement of up to $0.00103$ levels. We thus propose a novel and
-% ability. Nevertheless, we believe that with this work we have laid a solid
+broadly applicable strategy to boost the average academic performance
-% foundation and hope that our results will find widespread acceptance among the
+of KIT students: always using the right button.
-% local student population.
 
 %
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@@ -333,75 +301,4 @@ academic performance of KIT students: always pressing the right button.
 
 \printbibliography
 
-% \appendix
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% \section{Derivation of Service Time}
-% \label{sec:Derivation of Service Time}
-%
-%
-% We want to compute the response time of our queueing system, i.e.,
-% \cite[Section 14.3]{stewart_probability_2009}
-% \begin{align*}
-%     W = E\mleft\{ S \mright\} + \frac{\lambda E\mleft\{ S^2
-% \mright\}}{2\mleft( 1-\rho \mright)}
-%     .%
-% \end{align*}%
-% We start by modelling the service time and subsequently calculate $\lambda$
-% and $\rho$.
-%
-% Let $S, V$ and $R$ be random variables denoting the service time,
-% refill volume
-% and refill rate, respectively. Assuming that $V$ and $R$ are independent, we
-% have
-% \begin{gather*}
-%     S = \frac{V}{R} \hspace{5mm} \text{and} \hspace{5mm}
-%     P_R(r) = \left\{\begin{array}{rl}
-%         P(S_\text{L}), & r = r_{S_\text{L}} \\
-%         1-P(S_\text{L}), & r = r_{S_\text{R}}
-%     \end{array}\right.
-% \end{gather*}%
-% \begin{align*}
-%     E\mleft\{ S^2 \mright\} &= E\mleft\{ V^2 \mright\}E\mleft\{ 1 /
-% R^2  \mright\} \\
-%     & = E\mleft\{ V^2 \mright\} \mleft(
-% P(S_\text{L})\frac{1}{r^2_{S_\text{L}}} + \mleft( 1 - P(S_\text{L})
-% \mright)\frac{1}{r^2_{S_\text{R}}}  \mright)
-%     .%
-% \end{align*}
-% We now use our experimental data (having calculated $v_n, n\in [1:N]$ from the
-% measured fill times and flow rates) to compute
-% \begin{align*}
-%     \left.
-%     \begin{array}{r}
-%         E\mleft\{ V^2 \mright\} \approx \frac{1}{N+1}
-% \sum_{n=1}^{N} v_n^2 = \todo{15}\\
-%         P(S_\text{L}) \approx \frac{\text{\# times $S_\text{L}$ was
-% chosen}}{N} = \todo{123} \\
-%         r^2_{S_\text{L}} \approx \todo{125} \\
-%         r^2_{S_\text{R}} \approx \todo{250}
-%     \end{array}
-%     \right\} \Rightarrow
-%     \left\{
-%     \begin{array}{l}
-%         E\mleft\{ S \mright\} \approx \todo{678} \\
-%         E\mleft\{ S^2 \mright\} \approx \todo{123}
-%     \end{array}
-%     \right.
-%     .%
-% \end{align*}
-%
-% $\lambda$ is the mean arrival time.
-%
-% \todo{
-%     \textbf{TODOs:}
-%     \begin{itemize}
-%         \item Complete text describing / obtaining $\rho$ and $\lambda$
-%         \item Move model derivation to method section
-%         \item Move calculations with model to results section
-%         \item Add grade gain derivation
-%         \item Idea: Make the whole thing 2 pages and print on A3
-%     \end{itemize}
-% }
-
 \end{document}

scripts/approximate_response_time.py

@@ -0,0 +1,88 @@
+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()