# Understand and Describe Bayesian Models and Posterior Distributions

## Documentation for package ‘bayestestR’ version 0.11.5

- DESCRIPTION file.
- User guides, package vignettes and other documentation.

## Help Pages

A B C D E H M O P R S U W

## -- A --

area_under_curve | Area under the Curve (AUC)
as.data.frame.density | Coerce to a Data Frame
as.matrix.bayesfactor_models | Bayes Factors (BF) for model comparison
as.numeric.map_estimate | Convert to Numeric
as.numeric.p_direction | Convert to Numeric
as.numeric.p_map | Convert to Numeric
as.numeric.p_significance | Convert to Numeric
auc | Area under the Curve (AUC)

## -- B --

bayesfactor | Bayes Factors (BF)
bayesfactor_inclusion | Inclusion Bayes Factors for testing predictors across Bayesian models
bayesfactor_models | Bayes Factors (BF) for model comparison
bayesfactor_parameters | Bayes Factors (BF) for a Single Parameter
bayesfactor_parameters.blavaan | Bayes Factors (BF) for a Single Parameter
bayesfactor_parameters.brmsfit | Bayes Factors (BF) for a Single Parameter
bayesfactor_parameters.data.frame | Bayes Factors (BF) for a Single Parameter
bayesfactor_parameters.numeric | Bayes Factors (BF) for a Single Parameter
bayesfactor_parameters.stanreg | Bayes Factors (BF) for a Single Parameter
bayesfactor_pointnull | Bayes Factors (BF) for a Single Parameter
bayesfactor_restricted | Bayes Factors (BF) for Order Restricted Models
bayesfactor_restricted.blavaan | Bayes Factors (BF) for Order Restricted Models
bayesfactor_restricted.brmsfit | Bayes Factors (BF) for Order Restricted Models
bayesfactor_restricted.emmGrid | Bayes Factors (BF) for Order Restricted Models
bayesfactor_restricted.stanreg | Bayes Factors (BF) for Order Restricted Models
bayesfactor_rope | Bayes Factors (BF) for a Single Parameter
bayesian_as_frequentist | Convert (refit) a Bayesian model to frequentist
bcai | Bias Corrected and Accelerated Interval (BCa)
bci | Bias Corrected and Accelerated Interval (BCa)
bci.BFBayesFactor | Bias Corrected and Accelerated Interval (BCa)
bci.brmsfit | Bias Corrected and Accelerated Interval (BCa)
bci.data.frame | Bias Corrected and Accelerated Interval (BCa)
bci.emmGrid | Bias Corrected and Accelerated Interval (BCa)
bci.MCMCglmm | Bias Corrected and Accelerated Interval (BCa)
bci.numeric | Bias Corrected and Accelerated Interval (BCa)
bci.sim | Bias Corrected and Accelerated Interval (BCa)
bci.sim.merMod | Bias Corrected and Accelerated Interval (BCa)
bci.stanreg | Bias Corrected and Accelerated Interval (BCa)
bf_inclusion | Inclusion Bayes Factors for testing predictors across Bayesian models
bf_models | Bayes Factors (BF) for model comparison
bf_parameters | Bayes Factors (BF) for a Single Parameter
bf_pointnull | Bayes Factors (BF) for a Single Parameter
bf_restricted | Bayes Factors (BF) for Order Restricted Models
bf_rope | Bayes Factors (BF) for a Single Parameter
bic_to_bf | Convert BIC indices to Bayes Factors via the BIC-approximation method.

## -- C --

check_prior | Check if Prior is Informative
ci | Confidence/Credible/Compatibility Interval (CI)
ci.BFBayesFactor | Confidence/Credible/Compatibility Interval (CI)
ci.brmsfit | Confidence/Credible/Compatibility Interval (CI)
ci.data.frame | Confidence/Credible/Compatibility Interval (CI)
ci.MCMCglmm | Confidence/Credible/Compatibility Interval (CI)
ci.numeric | Confidence/Credible/Compatibility Interval (CI)
ci.sim | Confidence/Credible/Compatibility Interval (CI)
ci.sim.merMod | Confidence/Credible/Compatibility Interval (CI)
ci.stanreg | Confidence/Credible/Compatibility Interval (CI)
contr.bayes | Orthonormal Contrast Matrices for Bayesian Estimation
contr.orthonorm | Orthonormal Contrast Matrices for Bayesian Estimation
convert_bayesian_as_frequentist | Convert (refit) a Bayesian model to frequentist
convert_pd_to_p | Convert between Probability of Direction (pd) and p-value.
convert_p_to_pd | Convert between Probability of Direction (pd) and p-value.
cwi | Curvewise Intervals (CWI)
cwi.data.frame | Curvewise Intervals (CWI)

## -- D --

density_at | Density Probability at a Given Value
describe_posterior | Describe Posterior Distributions
describe_posterior.BFBayesFactor | Describe Posterior Distributions
describe_posterior.brmsfit | Describe Posterior Distributions
describe_posterior.MCMCglmm | Describe Posterior Distributions
describe_posterior.numeric | Describe Posterior Distributions
describe_posterior.stanmvreg | Describe Posterior Distributions
describe_posterior.stanreg | Describe Posterior Distributions
describe_prior | Describe Priors
diagnostic_draws | Diagnostic values for each iteration
diagnostic_posterior | Posteriors Sampling Diagnostic
diagnostic_posterior.brmsfit | Posteriors Sampling Diagnostic
diagnostic_posterior.stanmvreg | Posteriors Sampling Diagnostic
diagnostic_posterior.stanreg | Posteriors Sampling Diagnostic
distribution | Empirical Distributions
distribution_beta | Empirical Distributions
distribution_binom | Empirical Distributions
distribution_binomial | Empirical Distributions
distribution_cauchy | Empirical Distributions
distribution_chisq | Empirical Distributions
distribution_chisquared | Empirical Distributions
distribution_custom | Empirical Distributions
distribution_gamma | Empirical Distributions
distribution_gaussian | Empirical Distributions
distribution_mixture_normal | Empirical Distributions
distribution_nbinom | Empirical Distributions
distribution_normal | Empirical Distributions
distribution_poisson | Empirical Distributions
distribution_student | Empirical Distributions
distribution_student_t | Empirical Distributions
distribution_t | Empirical Distributions
distribution_tweedie | Empirical Distributions
distribution_uniform | Empirical Distributions

## -- E --

effective_sample | Effective Sample Size (ESS)
effective_sample.blavaan | Effective Sample Size (ESS)
effective_sample.brmsfit | Effective Sample Size (ESS)
effective_sample.MCMCglmm | Effective Sample Size (ESS)
effective_sample.stanreg | Effective Sample Size (ESS)
equivalence_test | Test for Practical Equivalence
equivalence_test.BFBayesFactor | Test for Practical Equivalence
equivalence_test.brmsfit | Test for Practical Equivalence
equivalence_test.data.frame | Test for Practical Equivalence
equivalence_test.default | Test for Practical Equivalence
equivalence_test.emmGrid | Test for Practical Equivalence
equivalence_test.numeric | Test for Practical Equivalence
equivalence_test.stanreg | Test for Practical Equivalence
estimate_density | Density Estimation
estimate_density.data.frame | Density Estimation
eti | Equal-Tailed Interval (ETI)
eti.BFBayesFactor | Equal-Tailed Interval (ETI)
eti.brmsfit | Equal-Tailed Interval (ETI)
eti.data.frame | Equal-Tailed Interval (ETI)
eti.emmGrid | Equal-Tailed Interval (ETI)
eti.MCMCglmm | Equal-Tailed Interval (ETI)
eti.numeric | Equal-Tailed Interval (ETI)
eti.sim | Equal-Tailed Interval (ETI)
eti.sim.merMod | Equal-Tailed Interval (ETI)
eti.stanreg | Equal-Tailed Interval (ETI)

## -- H --

hdi | Highest Density Interval (HDI)
hdi.BFBayesFactor | Highest Density Interval (HDI)
hdi.brmsfit | Highest Density Interval (HDI)
hdi.data.frame | Highest Density Interval (HDI)
hdi.emmGrid | Highest Density Interval (HDI)
hdi.MCMCglmm | Highest Density Interval (HDI)
hdi.numeric | Highest Density Interval (HDI)
hdi.sim | Highest Density Interval (HDI)
hdi.sim.merMod | Highest Density Interval (HDI)
hdi.stanreg | Highest Density Interval (HDI)

## -- M --

map_estimate | Maximum A Posteriori probability estimate (MAP)
map_estimate.bayesQR | Maximum A Posteriori probability estimate (MAP)
map_estimate.brmsfit | Maximum A Posteriori probability estimate (MAP)
map_estimate.data.frame | Maximum A Posteriori probability estimate (MAP)
map_estimate.emmGrid | Maximum A Posteriori probability estimate (MAP)
map_estimate.numeric | Maximum A Posteriori probability estimate (MAP)
map_estimate.stanreg | Maximum A Posteriori probability estimate (MAP)
mcse | Monte-Carlo Standard Error (MCSE)
mcse.stanreg | Monte-Carlo Standard Error (MCSE)
mediation | Summary of Bayesian multivariate-response mediation-models
mediation.brmsfit | Summary of Bayesian multivariate-response mediation-models
mediation.stanmvreg | Summary of Bayesian multivariate-response mediation-models
model_to_priors | Convert model's posteriors to priors (EXPERIMENTAL)

## -- O --

overlap | Overlap Coefficient

## -- P --

pd | Probability of Direction (pd)
pd_to_p | Convert between Probability of Direction (pd) and p-value.
point_estimate | Point-estimates of posterior distributions
point_estimate.BFBayesFactor | Point-estimates of posterior distributions
point_estimate.brmsfit | Point-estimates of posterior distributions
point_estimate.numeric | Point-estimates of posterior distributions
point_estimate.stanreg | Point-estimates of posterior distributions
p_direction | Probability of Direction (pd)
p_direction.BFBayesFactor | Probability of Direction (pd)
p_direction.brmsfit | Probability of Direction (pd)
p_direction.data.frame | Probability of Direction (pd)
p_direction.emmGrid | Probability of Direction (pd)
p_direction.MCMCglmm | Probability of Direction (pd)
p_direction.numeric | Probability of Direction (pd)
p_direction.stanreg | Probability of Direction (pd)
p_map | Bayesian p-value based on the density at the Maximum A Posteriori (MAP)
p_map.brmsfit | Bayesian p-value based on the density at the Maximum A Posteriori (MAP)
p_map.stanreg | Bayesian p-value based on the density at the Maximum A Posteriori (MAP)
p_pointnull | Bayesian p-value based on the density at the Maximum A Posteriori (MAP)
p_rope | Probability of being in the ROPE
p_rope.BFBayesFactor | Probability of being in the ROPE
p_rope.brmsfit | Probability of being in the ROPE
p_rope.data.frame | Probability of being in the ROPE
p_rope.default | Probability of being in the ROPE
p_rope.emmGrid | Probability of being in the ROPE
p_rope.MCMCglmm | Probability of being in the ROPE
p_rope.numeric | Probability of being in the ROPE
p_rope.stanreg | Probability of being in the ROPE
p_significance | Practical Significance (ps)
p_significance.brmsfit | Practical Significance (ps)
p_significance.emmGrid | Practical Significance (ps)
p_significance.numeric | Practical Significance (ps)
p_significance.stanreg | Practical Significance (ps)
p_to_pd | Convert between Probability of Direction (pd) and p-value.

## -- R --

reshape_draws | Reshape estimations with multiple iterations (draws) to long format
reshape_iterations | Reshape estimations with multiple iterations (draws) to long format
rnorm_perfect | Empirical Distributions
rope | Region of Practical Equivalence (ROPE)
rope.BFBayesFactor | Region of Practical Equivalence (ROPE)
rope.brmsfit | Region of Practical Equivalence (ROPE)
rope.data.frame | Region of Practical Equivalence (ROPE)
rope.default | Region of Practical Equivalence (ROPE)
rope.emmGrid | Region of Practical Equivalence (ROPE)
rope.MCMCglmm | Region of Practical Equivalence (ROPE)
rope.numeric | Region of Practical Equivalence (ROPE)
rope.stanreg | Region of Practical Equivalence (ROPE)
rope_range | Find Default Equivalence (ROPE) Region Bounds
rope_range.default | Find Default Equivalence (ROPE) Region Bounds

## -- S --

sensitivity_to_prior | Sensitivity to Prior
sexit | Sequential Effect eXistence and sIgnificance Testing (SEXIT)
sexit_thresholds | Find Effect Size Thresholds
si | Compute Support Intervals
si.blavaan | Compute Support Intervals
si.brmsfit | Compute Support Intervals
si.data.frame | Compute Support Intervals
si.emmGrid | Compute Support Intervals
si.numeric | Compute Support Intervals
si.stanreg | Compute Support Intervals
simulate_correlation | Data Simulation
simulate_difference | Data Simulation
simulate_prior | Returns Priors of a Model as Empirical Distributions
simulate_simpson | Simpson's paradox dataset simulation
simulate_ttest | Data Simulation

## -- U --

update.bayesfactor_models | Bayes Factors (BF) for model comparison

## -- W --

weighted_posteriors | Generate posterior distributions weighted across models
weighted_posteriors.BFBayesFactor | Generate posterior distributions weighted across models
weighted_posteriors.blavaan | Generate posterior distributions weighted across models
weighted_posteriors.brmsfit | Generate posterior distributions weighted across models
weighted_posteriors.data.frame | Generate posterior distributions weighted across models
weighted_posteriors.stanreg | Generate posterior distributions weighted across models