102 lines
3.0 KiB
TeX
102 lines
3.0 KiB
TeX
\documentclass[a4paper]{article}
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% To compile PDF run: latexmk -pdf {filename}.tex
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% Math package
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\usepackage{amsmath}
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%enable \cref{...} and \Cref{...} instead of \ref: Type of reference included in the link
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\usepackage[capitalise,nameinlink]{cleveref}
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% Enable that parameters of \cref{}, \ref{}, \cite{}, ... are linked so that a reader can click on the number an jump to the target in the document
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\usepackage{hyperref}
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% UTF-8 encoding
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\usepackage[T1]{fontenc}
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\usepackage[utf8]{inputenc} %support umlauts in the input
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% Easier compilation
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\usepackage{bookmark}
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\begin{document}
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\title{Week 7 - Evidence and experiments}
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\author{
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Jai Bheeman \and Kelvin Davis \and Jip J. Dekker \and Nelson Frew \and Tony
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Silvestere
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}
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\maketitle
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\section{Introduction} \label{sec:introduction}
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\section{Method} \label{sec:method}
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\section{Results} \label{sec:results}
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\subsection{The advantage of height}
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\begin{table}[ht]
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\centering
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\label{tab:chi-height}
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\begin{tabular}{|l|r|r|r|r|}
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\hline
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& \textbf{M: 168 - 188} & \textbf{M: 189 - 210} & \textbf{F: 155 - 171} & \textbf{F: 172 - 189} \\ \hline
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\textbf{1 - 99} & 67 / 73 & 32 / 26 & 38 / 42 & 60 / 55 \\
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\textbf{100 - 199} & 69 / 72 & 30 / 26 & 31 / 27 & 32 / 36 \\
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\textbf{200 - 299} & 75 / 68 & 17 / 25 & 18 / 17 & 22 / 23 \\
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\textbf{300 - 399} & 61 / 60 & 21 / 23 & 11 /12 & 17 / 16 \\
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\textbf{400 - 499} & 59 / 60 & 22 / 22 & 7 / 6
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& 7 / 8 \\
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\hline
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\end{tabular}
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\caption{Observed / Expected values used for the $\chi^2$-test. The groups are divided by their rank (vertical) and, per gender, their height (horizontal).}
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\end{table}
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$$
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\chi^2 \approx 7.697606186049128
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$$
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$$
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df = (5-1)(4-1) = 12
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$$
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$$
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\chi^2(7.69\dots,12) \approx 0.8082925814979871
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$$
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\textbf {t-test men:} T score: 1.711723, P score: 0.043815
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\textbf {t-test women:} T score: 1.860241, P score: 0.032030
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\subsection{The advantage of left-handedness}
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\begin{table}[ht]
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\centering
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\label{tab:chi-hand}
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\begin{tabular}{|l|l|l|l|l|l|}
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\hline
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& \textbf{1 - 99} & \textbf{100 - 199} & \textbf{200 - 299} & \textbf{300 - 399} & \textbf{400 - 499} \\
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\hline
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\textbf{L} & 22 / 21 & 23 / 18 & 17 / 15 & 6 / 12 & 8 / 10 \\
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\textbf{R} & 174 / 177 & 139 / 144 & 117 / 119 &
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105 / 98 & 88 / 86 \\
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\hline
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\end{tabular}
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\caption{Observed / Expected values used for the $\chi^2$-test. The groups are divided by which hand they use (vertical) and their rank (horizontal).}
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\end{table}
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$$
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\chi^2 \approx 6.467312944404331
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$$
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$$
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df = (2-1)(5-1) = 4
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$$
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$$
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\chi^2(6.46\dots,4) \approx 0.1668616190847413
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$$
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\textbf {t-test:} T score: 0.451694, P score: 0.325815
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\section{Discussion} \label{sec:discussion}
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\end{document}
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