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Robust Bayesian T-Test (RoBTT)

This package provides an implementation of Bayesian model-averaged t-tests that allows users to draw inference about the presence vs absence of the effect, heterogeneity of variances, and outliers. The RoBTT packages estimates model ensembles of models created as a combination of the competing hypotheses and uses Bayesian model-averaging to combine the models using posterior model probabilities. Users can obtain the model-averaged posterior distributions and inclusion Bayes factors which account for the uncertainty in the data generating process. User can define a wide range of informative priors for all parameters of interest. The package provides convenient functions for summary, visualizations, and fit diagnostics.

See our manuscripts for more information about the methodology:

  • Maier et al. (2022) introduces a robust Bayesian t-test that model-averages over normal and t-distributions to account for the uncertainty about potential outliers,
  • Godmann et al. (2024) introduces a truncated Bayesian t-test that accounts for outlier exclusion when estimating the models.

We also prepared vignettes that illustrate functionality of the package:

Installation

The release version can be installed from CRAN:

install.packages("RoBTT")

and the development version of the package can be installed from GitHub:

devtools::install_github("FBartos/RoBTT")

References

Godmann, H. R., Bartoš, F., & Wagenmakers, E.-J. (2024). A truncated t-test: Excluding outliers without biasing the Bayes factor.

Maier, M., Bartoš, F., Quintana, D. S., Bergh, D. van den, Marsman, M., Ly, A., & Wagenmakers, E.-J. (2022). Model-averaged Bayesian t-tests. https://doi.org/10.31234/osf.io/d5zwc

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Version

Install

install.packages('RoBTT')

Monthly Downloads

760

Version

1.3.0

License

GPL-3

Maintainer

Franti<c5><a1>ek Barto<c5><a1>

Last Published

April 4th, 2024

Functions in RoBTT (1.3.0)

print.summary.RoBTT

Prints summary object for 'RoBTT' method
summary.RoBTT

Summarize fitted 'RoBTT' object
prior_none

Creates a prior distribution
plot.RoBTT

Plots a fitted 'RoBTT' object
rho2logsdr

rho to log standard deviation ratio transformations
update.RoBTT

Updates a fitted RoBTT object
print.RoBTT

Prints a fitted 'RoBTT' object
prior

Creates a prior distribution
check_setup

Prints summary of "RoBTT" ensemble implied by the specified priors
RoBTT-package

RoBTT: Robust Bayesian t-test
is.RoBTT

Reports whether x is a 'RoBTT' object
interpret

Interprets results of a 'RoBTT' model.
RoBTT_control

Convergence checks of the fitting process
diagnostics

Checks a fitted RoBTT object
check_RoBTT

Check fitted 'RoBTT' object for errors and warnings
RoBTT

Estimate a Robust Bayesian T-Test
RoBTT_options

Options for the 'RoBTT' package
fertilization

Height of 15 plant pairs collected by Darwin