From df495b85cd12ec37b74b50d9e33fce37f42d662c Mon Sep 17 00:00:00 2001 From: Felix Hofmann <felix_hofmann_13@hotmail.com> Date: Wed, 1 Nov 2023 12:26:44 +0100 Subject: [PATCH] Add Fisher and Edgington refs --- biblio.bib | 29 +++++++++++++++++++++++++++-- protocol.pdf | Bin 208653 -> 177791 bytes protocol.tex | 48 ++++++++++++------------------------------------ 3 files changed, 39 insertions(+), 38 deletions(-) diff --git a/biblio.bib b/biblio.bib index eb9642f..9fbb400 100644 --- a/biblio.bib +++ b/biblio.bib @@ -10,7 +10,6 @@ year = {2017} } - @article{morr:etal:19, author = {Morris, Tim P. and White, Ian R. and Crowther, Michael J.}, title = {Using simulation studies to evaluate statistical methods}, @@ -33,7 +32,8 @@ year = {2007}, publisher = {Taylor \& Francis}, 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}, title={Undue reliance on I2 in assessing heterogeneity may mislead}, journal={BMC Medical Research Methodology}, @@ -183,3 +183,28 @@ url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/sim.4029}, 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}, +} diff --git a/protocol.pdf b/protocol.pdf index 16fc4a40495d939434836d6633aed85f0a7a7878..f57700f68a41bd1f9d66a14c3b244360a9cd220b 100644 GIT binary patch delta 153502 zcmZsiQ;;S~u&vv+ZBN^_ZQHi>w>fRwwr$(CJ#FjmbMEV@h|0)_dawL)t<0ERxZi7- 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\restylefloat{listing} -%\usepackage{natbib} +\usepackage{natbib} %\usepackage{multind} \usepackage{booktabs} \usepackage{enumerate} @@ -24,14 +24,12 @@ %% \linenumber \renewcommand{\baselinestretch}{1} %% 2 -\usepackage{natbib} - \usepackage{color,xcolor} \definecolor{link}{HTML}{004C80} \usepackage[labelfont=bf]{caption} \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} \usepackage{array, lipsum} @@ -67,51 +65,29 @@ uncertainty of the combined estimate of a meta-analysis }\\ \bigskip -{\noindent \Large Florian Gerber, Leonhard Held, Lisa Hofer, Felix Hofmann, Philip Heesen +{\noindent \Large Leonhard Held, Felix Hofmann }\end{center} \bigskip \vspace*{.5cm} - 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}. - \tableofcontents \newpage \section{Aims and objectives}\label{ref:aims} -% TODO: -% 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?) -% Standard REML is missing (DONE) -% Add k-Trials (DONE) -%\color{red} -%Changes to the last version: -%\begin{itemize} -%\color{red} - %\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}. - +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 p-value functions that +implement the methods from \citet{edgington:72} and \citet{fisher:34}. 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} -- GitLab