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11 changes: 4 additions & 7 deletions README.Rmd
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Expand Up @@ -26,17 +26,14 @@ See a vignette with NO2 exposure data: [[link]](https://changwoo-lee.github.io/b

See bspme_1.0.0.pdf for the pdf file of the package manual.

**bspme** is an R package that provides a set of functions for **B**ayesian **sp**atial exposure **m**easurement **e**rror models, the Bayesian linear and generalized linear models with the presence of spatially correlated measurement error of covariate(s). For more details, please see the following paper:

> Lee, C. J., Symanski, E., Rammah, A., Kang, D. H., Hopke, P. K., & Park, E. S. (2024). A scalable two-stage Bayesian approach accounting for exposure measurement error in environmental epidemiology. arXiv preprint arXiv:2401.00634. <https://arxiv.org/abs/2401.00634>

The **bspme** package provides fast, scalable inference tools for Bayesian linear and generalized linear models with spatial exposure measurement error.
**bspme** is an R package that provides fast, scalable inference tools for **B**ayesian **sp**atial exposure **m**easurement **e**rror models, the Bayesian linear and generalized linear models with the presence of spatially correlated measurement error of covariate(s).
These models typically arise from a two-stage Bayesian analysis of environmental exposures and health outcomes.
From a first-stage model, predictions of the covariate of interest ("exposure") and their uncertainty information (typically contained in MCMC samples) are used to form a multivariate normal prior distribution $X\sim N(\mu, \Sigma)$ for exposure in a second-stage regression model.
Naive, non-sparse choices of the precision matrix $Q = \Sigma^{-1}$ of the multivariate normal (such as a sample precision matrix) leads to the MCMC posterior inference algorithm infeasible to run for a large number of subjects $n$ because of the cubic computational cost associated with the $n$-dimensional MVN prior.
With the sparse precision matrix $Q$ obtained from the Vecchia approximation, the **bspme** package offers a fast, scalable algorithm to conduct posterior inference for large health datasets, with the number of subjects $n$ possibly reaching tens of thousands.
With a sparse precision matrix $Q$ obtained from the Vecchia approximation, the **bspme** package offers fast, scalable algorithms to conduct posterior inference with large health datasets, with the number of subjects $n$ possibly reaching tens of thousands.
For more details, please see the following paper:

> Lee, C. J., Symanski, E., Rammah, A., Kang, D. H., Hopke, P. K., & Park, E. S. (2024). A scalable two-stage Bayesian approach accounting for exposure measurement error in environmental epidemiology. arXiv preprint arXiv:2401.00634. <https://arxiv.org/abs/2401.00634>
## Installation

You can install the development version of bspme with the following code:
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47 changes: 21 additions & 26 deletions README.md
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Expand Up @@ -16,36 +16,31 @@ See a vignette with NO2 exposure data:

See bspme_1.0.0.pdf for the pdf file of the package manual.

**bspme** is an R package that provides a set of functions for
**B**ayesian **sp**atial exposure **m**easurement **e**rror models, the
Bayesian linear and generalized linear models with the presence of
spatially correlated measurement error of covariate(s). For more
details, please see the following paper:
**bspme** is an R package that provides fast, scalable inference tools
for **B**ayesian **sp**atial exposure **m**easurement **e**rror models,
the Bayesian linear and generalized linear models with the presence of
spatially correlated measurement error of covariate(s). These models
typically arise from a two-stage Bayesian analysis of environmental
exposures and health outcomes. From a first-stage model, predictions of
the covariate of interest (“exposure”) and their uncertainty information
(typically contained in MCMC samples) are used to form a multivariate
normal prior distribution $X\sim N(\mu, \Sigma)$ for exposure in a
second-stage regression model. Naive, non-sparse choices of the
precision matrix $Q = \Sigma^{-1}$ of the multivariate normal (such as a
sample precision matrix) leads to the MCMC posterior inference algorithm
infeasible to run for a large number of subjects $n$ because of the
cubic computational cost associated with the $n$-dimensional MVN prior.
With a sparse precision matrix $Q$ obtained from the Vecchia
approximation, the **bspme** package offers fast, scalable algorithms to
conduct posterior inference with large health datasets, with the number
of subjects $n$ possibly reaching tens of thousands. For more details,
please see the following paper:

> Lee, C. J., Symanski, E., Rammah, A., Kang, D. H., Hopke, P. K., &
> Park, E. S. (2024). A scalable two-stage Bayesian approach accounting
> for exposure measurement error in environmental epidemiology. arXiv
> preprint arXiv:2401.00634. <https://arxiv.org/abs/2401.00634>
The **bspme** package provides fast, scalable inference tools for
Bayesian linear and generalized linear models with spatial exposure
measurement error. These models typically arise from a two-stage
Bayesian analysis of environmental exposures and health outcomes. From a
first-stage model, predictions of the covariate of interest (“exposure”)
and their uncertainty information (typically contained in MCMC samples)
are used to form a multivariate normal prior distribution
$X\sim N(\mu, \Sigma)$ for exposure in a second-stage regression model.
Naive, non-sparse choices of the precision matrix $Q = \Sigma^{-1}$ of
the multivariate normal (such as a sample precision matrix) leads to the
MCMC posterior inference algorithm infeasible to run for a large number
of subjects $n$ because of the cubic computational cost associated with
the $n$-dimensional MVN prior. With the sparse precision matrix $Q$
obtained from the Vecchia approximation, the **bspme** package offers a
fast, scalable algorithm to conduct posterior inference for large health
datasets, with the number of subjects $n$ possibly reaching tens of
thousands.

## Installation
> preprint arXiv:2401.00634. <https://arxiv.org/abs/2401.00634> \##
> Installation
You can install the development version of bspme with the following
code:
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