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Commit df495b85 authored by Felix Hofmann's avatar Felix Hofmann
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Add Fisher and Edgington refs

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...@@ -10,7 +10,6 @@ year = {2017} ...@@ -10,7 +10,6 @@ year = {2017}
} }
@article{morr:etal:19, @article{morr:etal:19,
author = {Morris, Tim P. and White, Ian R. and Crowther, Michael J.}, author = {Morris, Tim P. and White, Ian R. and Crowther, Michael J.},
title = {Using simulation studies to evaluate statistical methods}, title = {Using simulation studies to evaluate statistical methods},
...@@ -33,7 +32,8 @@ year = {2007}, ...@@ -33,7 +32,8 @@ year = {2007},
publisher = {Taylor \& Francis}, publisher = {Taylor \& Francis},
doi = {10.1198/016214506000001437}, doi = {10.1198/016214506000001437},
} }
@Article{ruck:etal:08,
@article{ruck:etal:08,
author={R{\"u}cker, Gerta and Schwarzer, Guido and Carpenter, James R. and Schumacher, Martin}, author={R{\"u}cker, Gerta and Schwarzer, Guido and Carpenter, James R. and Schumacher, Martin},
title={Undue reliance on I2 in assessing heterogeneity may mislead}, title={Undue reliance on I2 in assessing heterogeneity may mislead},
journal={BMC Medical Research Methodology}, journal={BMC Medical Research Methodology},
...@@ -183,3 +183,28 @@ url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/sim.4029}, ...@@ -183,3 +183,28 @@ url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/sim.4029},
year = {2010} year = {2010}
} }
@book{fisher:34,
author = {Fisher, R. A.},
year = {1934},
title = {{S}tatistical {M}ethods for {R}esearch {W}orkers},
publisher = {{O}liver \& {B}oyd},
address = {Edinburgh},
edition = {4}
}
@article{edgington:72,
title = {An {Additive} {Method} for {Combining} {Probability} {Values} from {Independent} {Experiments}},
volume = {80},
issn = {0022-3980},
url = {https://doi.org/10.1080/00223980.1972.9924813},
doi = {10.1080/00223980.1972.9924813},
number = {2},
urldate = {2023-11-01},
journal = {The Journal of Psychology},
author = {Edgington, Eugene S.},
month = mar,
year = {1972},
note = {Publisher: Routledge \_eprint: https://doi.org/10.1080/00223980.1972.9924813},
pages = {351--363},
}
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\documentclass[letterpaper, 9pt]{article} \documentclass[letterpaper, 12pt]{article}
%\usepackage[nomarkers]{endfloat} %%%%%%%%% %\usepackage[nomarkers]{endfloat} %%%%%%%%%
\usepackage{calc} \usepackage{calc}
\usepackage{color} \usepackage{color}
...@@ -12,7 +12,7 @@ ...@@ -12,7 +12,7 @@
\floatstyle{plaintop} \floatstyle{plaintop}
\restylefloat{listing} \restylefloat{listing}
%\usepackage{natbib} \usepackage{natbib}
%\usepackage{multind} %\usepackage{multind}
\usepackage{booktabs} \usepackage{booktabs}
\usepackage{enumerate} \usepackage{enumerate}
...@@ -24,14 +24,12 @@ ...@@ -24,14 +24,12 @@
%% \linenumber %% \linenumber
\renewcommand{\baselinestretch}{1} %% 2 \renewcommand{\baselinestretch}{1} %% 2
\usepackage{natbib}
\usepackage{color,xcolor} \usepackage{color,xcolor}
\definecolor{link}{HTML}{004C80} \definecolor{link}{HTML}{004C80}
\usepackage[labelfont=bf]{caption} \usepackage[labelfont=bf]{caption}
\usepackage[english]{babel} \usepackage[english]{babel}
\usepackage[pdftex,plainpages=false,pdfpagelabels,pagebackref=true,colorlinks=true, citecolor=link,linkcolor=link]{hyperref} \usepackage[pdftex,plainpages=false,pdfpagelabels,pagebackref=true,colorlinks=true,citecolor=link,linkcolor=link]{hyperref}
\hypersetup{colorlinks,urlcolor=link} \hypersetup{colorlinks,urlcolor=link}
\usepackage{array, lipsum} \usepackage{array, lipsum}
...@@ -67,51 +65,29 @@ ...@@ -67,51 +65,29 @@
uncertainty of the combined estimate of a meta-analysis uncertainty of the combined estimate of a meta-analysis
}\\ }\\
\bigskip \bigskip
{\noindent \Large Florian Gerber, Leonhard Held, Lisa Hofer, Felix Hofmann, Philip Heesen {\noindent \Large Leonhard Held, Felix Hofmann
}\end{center} }\end{center}
\bigskip \bigskip
\vspace*{.5cm} \vspace*{.5cm}
For the present protocol is inspired by \citet{burt:etal:06} and \citet{morr:etal:19}. For the present protocol is inspired by \citet{burt:etal:06} and \citet{morr:etal:19}.
The simulation is implemented in \texttt{simulate\_all.R}. The simulation is implemented in \texttt{simulate\_all.R}.
\tableofcontents \tableofcontents
\newpage \newpage
\section{Aims and objectives}\label{ref:aims} \section{Aims and objectives}\label{ref:aims}
% TODO: The aim of this simulation study is the comparison of confidence intervals
% Add paragraph for distribution of the test statistic (F and Chi-square) for harmonic mean methods (or did we decide to ditch the F-distribution?) (CIs) summarizing the uncertainty of the combined estimate of a meta-analysis.
% Standard REML is missing (DONE) Specifically, we focus on CIs constructed using p-value functions that
% Add k-Trials (DONE) implement the methods from \citet{edgington:72} and \citet{fisher:34}. The
%\color{red} underlying data sets are simulated as described in Section~\ref{sec:simproc}
%Changes to the last version: and Section~\ref{sec:scenario}. The resulting intervals are then compared to CIs
%\begin{itemize} constructed using the other methods listed in Section~\ref{sec:method} using the
%\color{red} measures defined in Section~\ref{sec:meas}.
%\item The protocol mentioned the DerSimonian-Laird method to construct confidence intervals. However, there is no method called ``DerSimonian-Laird'' in the simulation. The paper indicates that this also uses a random effects model with REML. Is this the same as the method called ``REML'' that we already have in the simulation?
%\item Removed harmonic mean with alternative \texttt{two.sided}
%\item Added entries for k-Trials rule
% \item Added a subsection about the distribution of the minimum of the p-value function in ``Aims and objectives''
%\item Updated criteria for evaluation of CIs
%\item Updated number of studies $k$
%\end{itemize}
%\vspace*{.5cm}
%Notes:
%\begin{itemize}
%\color{red}
% \item{Should we mention that we tried F-distribution for the harmonic mean test statistic?}
%\end{itemize}
%\color{black}
The aim of this simulation study is the comparison of confidence intervals (CIs) summarizing the uncertainty of the combined estimate of a meta-analysis. Specifically, we focus on CIs constructed using the harmonic mean method, which is described in \citet{Held2020b}, and the $k$-trials rule, which is defined in Subsection~\ref{sec:ktrial}. The underlying data sets are simulated as described in Section~\ref{sec:simproc} and Section~\ref{sec:scenario}. The resulting intervals are then compared to CIs constructed using the other methods listed in Section~\ref{sec:method} using the measures defined in Section~\ref{sec:meas}.
\section{Simulation of the data sets} \label{sec:simproc} \section{Simulation of the data sets} \label{sec:simproc}
......
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