142 lines
3.5 KiB
TeX
142 lines
3.5 KiB
TeX
\documentclass{beamer}
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%%%%% title %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\title[]{Bootstrap Methods}
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\author[]{Jan Benda}
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\institute[]{Neuroethology}
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\date[]{WS 17/18}
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\titlegraphic{\includegraphics[width=0.3\textwidth]{UT_WBMW_Rot_RGB}}
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%%%%% beamer %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>
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{
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\usetheme{Singapore}
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\setbeamercovered{opaque}
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\usecolortheme{tuebingen}
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\setbeamertemplate{navigation symbols}{}
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\usefonttheme{default}
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\useoutertheme{infolines}
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% \useoutertheme{miniframes}
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}
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%\AtBeginSection[]
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%{
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% \begin{frame}<beamer>
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% \begin{center}
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% \Huge \insertsectionhead
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% \end{center}
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% \end{frame}
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%}
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\setbeamertemplate{blocks}[rounded][shadow=true]
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\setcounter{tocdepth}{1}
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%%%%% packages %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage[english]{babel}
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\usepackage{amsmath}
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\usepackage{bm}
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\usepackage{pslatex} % nice font for pdf file
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%\usepackage{multimedia}
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\usepackage{dsfont}
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\newcommand{\naZ}{\mathds{N}}
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\newcommand{\gaZ}{\mathds{Z}}
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\newcommand{\raZ}{\mathds{Q}}
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\newcommand{\reZ}{\mathds{R}}
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\newcommand{\reZp}{\mathds{R^+}}
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\newcommand{\reZpN}{\mathds{R^+_0}}
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\newcommand{\koZ}{\mathds{C}}
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%%%% graphics %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage{graphicx}
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%%%%% listings %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage{listings}
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\lstset{
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basicstyle=\ttfamily,
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numbers=left,
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showstringspaces=false,
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language=Matlab,
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commentstyle=\itshape\color{darkgray},
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keywordstyle=\color{blue},
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stringstyle=\color{green},
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backgroundcolor=\color{blue!10},
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breaklines=true,
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breakautoindent=true,
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columns=flexible,
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frame=single,
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captionpos=b,
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xleftmargin=1em,
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xrightmargin=1em,
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aboveskip=10pt
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}
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\graphicspath{{figures/}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{document}
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\begin{frame}[plain]
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\frametitle{}
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\vspace{-1cm}
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\titlepage % erzeugt Titelseite
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\end{frame}
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%\subsection{Population}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
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\frametitle{Statistics: what we want to know}
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\includegraphics[width=1\textwidth]{2012-10-29_16-26-05_771}\\[2ex]
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\end{frame}
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\begin{frame}
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\frametitle{Let's measure the whole population ...}
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\includegraphics[width=1\textwidth]{2012-10-29_16-41-39_523}\\[2ex]
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\end{frame}
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\begin{frame}
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\frametitle{We can only measure a sample of the population}
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\includegraphics[width=1\textwidth]{2012-10-29_16-29-35_312}
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\end{frame}
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%\subsection{Bootstrap distribution}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
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\frametitle{Sampling distribution}
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\includegraphics[width=1\textwidth]{srs1}
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\end{frame}
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\begin{frame}
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\frametitle{Theoretical sampling distribution}
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\includegraphics[width=1\textwidth]{srs2}
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\end{frame}
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\begin{frame}
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\frametitle{Bootstrap distribution}
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\includegraphics[width=1\textwidth]{srs3}\\[1ex]
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\begin{itemize}
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\item Resampling with replacement.
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\item Size of resample equals size of original sample.
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\end{itemize}
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\end{frame}
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%\subsection{Bootstrap distribution}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
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\frametitle{Sampling and bootstrap distribution of the mean}
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\includegraphics[width=1\textwidth]{bootstrapsem}
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\end{frame}
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%\subsection{Permutation test}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
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\frametitle{Permutation test}
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\includegraphics[width=1\textwidth]{permutecorrelation}
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\end{frame}
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\end{document}
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