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Christian Roever
bayesmeta
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c2f3578c
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4 years ago
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Christian Roever
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DESCRIPTION
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DESCRIPTION
man/bayesmeta-package.Rd
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man/bmr.Rd
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DESCRIPTION
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Package: bayesmeta
Package: bayesmeta
Type: Package
Type: Package
Title: Bayesian Random-Effects Meta-Analysis and Meta-Regression
Title: Bayesian Random-Effects Meta-Analysis and Meta-Regression
Version: 2.
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5
Version: 2.
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Date: 2021-02-2
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Date: 2021-02-2
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Authors@R: c(person(given="Christian", family="Roever", role=c("aut","cre"),
Authors@R: c(person(given="Christian", family="Roever", role=c("aut","cre"),
email="christian.roever@med.uni-goettingen.de",
email="christian.roever@med.uni-goettingen.de",
comment=c(ORCID="0000-0002-6911-698X")),
comment=c(ORCID="0000-0002-6911-698X")),
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\tabular{ll}{
\tabular{ll}{
Package: \tab bayesmeta\cr
Package: \tab bayesmeta\cr
Type: \tab Package\cr
Type: \tab Package\cr
Version: \tab 2.
7
5\cr
Version: \tab 2.
6
5\cr
Date: \tab 2021-02-2
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\cr
Date: \tab 2021-02-2
5
\cr
License: \tab GPL (>=2)
License: \tab GPL (>=2)
}
}
The main functionality is provided by the \code{\link{bayesmeta}()}
The main functionality is provided by the \code{\link{bayesmeta}()}
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d}) \emph{regressor matrix}, and \eqn{\Sigma} is a (\eqn{k \times k}{k x
d}) \emph{regressor matrix}, and \eqn{\Sigma} is a (\eqn{k \times k}{k x
k}) diagonal covariance matrix containing the
k}) diagonal covariance matrix containing the
\eqn{\sigma_i^2}{sigma[i]^2} values, while
\eqn{\sigma_i^2}{sigma[i]^2} values, while
\eqn{I} is the (\eqn{k \times k}{k x
\eqn{I} is the (\eqn{k \times k}{k x k}) identity matrix. The
k}) identity matrix.
regressor matrix \eqn{X} plays a crucial role here, as the
\sQuote{\code{X}} argument (with rows corresponding to studies, and
columns corresponding to covariables) is required to specify the exact
regression setup.
Meta-regression allows the consideration of (study-level) covariables
Meta-regression allows the consideration of (study-level) covariables
in a meta-analysis. Quite often, these may also be indicator variables
in a meta-analysis. Quite often, these may also be indicator variables
(\sQuote{zero/one} variables) simply identifying subgroups of studies.
(\sQuote{zero/one} variables) simply identifying subgroups of studies.
See also the examples shown below.
\subsection{Connection to the simple random-effects model}{
\subsection{Connection to the simple random-effects model}{
The meta-regression model is a generalisation of the \sQuote{simple}
The meta-regression model is a generalisation of the \sQuote{simple}
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accuracy of the computations is determined by the \sQuote{\code{delta}}
accuracy of the computations is determined by the \sQuote{\code{delta}}
and \sQuote{\code{epsilon}} arguments (Roever and Friede,
and \sQuote{\code{epsilon}} arguments (Roever and Friede,
2017).
2017).
A slight difference between the \code{\link{bayesmeta}()} and
\code{bmr()} implementations exists in the determination of the grid
approximation within the \acronym{DIRECT} algorithm. While
\code{bmr()} considers divergences w.r.t. the conditional posterior
distributions \eqn{p(\beta|\tau)}, \code{bayesmeta()} in addition
considers divergences w.r.t. the shrinkage estimates, which in general
leads to a denser binning (as one can see from the numbers of bins
required; see the example below). A denser binning within the
\code{bmr()} function may be achieved by reducing the
\sQuote{\code{delta}} argument.
}
}
}
}
\value{
\value{
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