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Added lecture 14 stuff
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bcaffo committed Oct 18, 2012
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3 changes: 0 additions & 3 deletions lecture12.tex
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Expand Up @@ -161,9 +161,6 @@ \section{The jackknife}
\end{itemize}
\end{frame}

\begin{frame}\frametitle{Example: Tom's notes}
\end{frame}

\section{The bootstrap principle}
\begin{frame}\frametitle{The bootstrap}
\begin{itemize}
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11 changes: 1 addition & 10 deletions lecture13.tex
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Expand Up @@ -27,7 +27,7 @@

\newcommand{\cpp}[1]{\texttt{#1}}

\title{Mathematical Biostatistics Bootcamp: Lecture 13, Binomial Proportions}
\title{Mathematical Biostatistics Boot Camp: Lecture 13, Binomial Proportions}
\author{Brian Caffo}
\date{\today}
\institute[Department of Biostatistics]{
Expand Down Expand Up @@ -104,15 +104,6 @@ \section{Agresti- Coull interval}
\end{itemize}
\end{frame}

\begin{frame}\frametitle{Discussion}
\begin{itemize}
\item After discussing hypothesis testing, we'll talk about
other intervals for binomial proportions
\item In particular, we will talk about so called exact intervals
that guarantee coverage larger than the desired (nominal) value
\end{itemize}
\end{frame}

\begin{frame}\frametitle{Example}
Suppose that in a random sample of an at-risk population
$13$ of $20$ subjects had hypertension. Estimate the prevalence
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19 changes: 18 additions & 1 deletion lecture14.tex
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\newcommand{\cpp}[1]{\texttt{#1}}

\title{Mathematical Biostatistics Bootcamp: Lecture 14, Logs}
\title{Mathematical Biostatistics Boot Camp: Lecture 14, Logs}
\author{Brian Caffo}
\date{\today}
\institute[Department of Biostatistics]{
Expand Down Expand Up @@ -179,6 +179,14 @@ \section{GM and the CLT}
\end{frame}

\begin{frame}\frametitle{Example}
Rosner, Fundamentals of Biostatistics page 298 gives a paired design comparing SBP for matched oral contraceptive users and controls.
\begin{itemize}
\item The geometric mean ration is 1.04 (4\% increase in SBP for the OC users)
\item The T interval on the difference of the log scale measurements is [0.010, 0.067] log(mm Hg)
\item Exponentiating yields [1.010, 1.069] (mm Hg).
\end{itemize}


\end{frame}

\section{Comparisons}
Expand Down Expand Up @@ -235,6 +243,15 @@ \section{The log-normal distribution}
\end{frame}

\begin{frame}\frametitle{Example}
Gray matter volumes investigated
\begin{itemize}
\item Took GM volumes for the young and old groups, logged them
\item Did two independent group intervals, got
young [13.24, 13.27] log(cubic cm) and old [13.29, 13.31] log(cubic cm).
\item Exponentiating yields [564.4, 577.5] cc, [592.0, 606.9] cc.
\item Doing a two group T interval on the logged measurements yields [0.032, 0.066] log(cubic cm)
\item exponentiating this interval yields [1.032, 1.068]
\end{itemize}
\end{frame}

\end{document}
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