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Commit e9936ef9 authored by Felix Hofmann's avatar Felix Hofmann
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Update 'error' handling sections

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......@@ -183,6 +183,12 @@ publication bias. Thus, larger studies with $n_i = 500$ are always accepted.
As described in Section~\ref{sec:scenario}, we set $\theta \in \{0.1, 0.2, 0.5\}$.
See the R function \texttt{simREbias()}.
In order to check how this implementation of publication bias impacts the
simulation performance, we keep track of the mean acceptance probability for
each simulation scenario that is subject publication bias. For the calculation
of the mean, we also consider large studies with $n = 500$. Since such studies
are not subject to publication bias, they have an acceptance probability of 1.
\subsection{Simulation procedure}
For each scenario in Section~\ref{sec:scenario} we
\begin{enumerate}
......@@ -250,7 +256,7 @@ We assess the CIs using the following criteria
0. % n
\end{enumerate}
Furthermore, we calculate the following measure related to the point estimates.
Furthermore, we calculate the following measures related to the point estimates.
\begin{enumerate}
\item Mean squared error (MSE) of the estimator.
......@@ -313,9 +319,13 @@ in the respective paragraph of Subsection~\ref{sec:meas}. We calculate the
relative frequencies of the number of intervals $m=0, 1, \ldots, 9, >9$ in each
confidence set over the 10'000 iterations of the same scenario.
Furthermore, we store the mean of the average acceptance probability in each
of the 10'000 iterations for all simulation scenarios where there is either
'modest' or 'strong' publication bias.
\section{Presentation of the simulation results}
For each of the performance measures 1-3 in Subsection~\ref{sec:meas} as well as
the mean squared error (MSE) we construct plots with
the mean squared error (MSE), bias, and variance we construct plots with
\begin{itemize}
\item the number of studies $k$ on the $x$-axis
......@@ -324,8 +334,8 @@ the mean squared error (MSE) we construct plots with
\item one panel for each CI method
\end{itemize}
Regarding the distribution of the $p$-value function for the harmonic mean
and $k$-trials methods, we will create plots that contain
Regarding the distribution of the $p$-value function for the \emph{Edgington}
and \emph{Fisher} methods, we will create plots that contain
\begin{itemize}
\item the number of studies $k$ on the $x$-axis
\item the value of the summary statistic on the $y$-axis
......
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