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brms (version 2.1.0)

LOO.brmsfit: Compute the LOO information criterion

Description

Perform approximate leave-one-out cross-validation based on the posterior likelihood using the loo package.

Usage

# S3 method for brmsfit
LOO(x, ..., compare = TRUE, reloo = FALSE,
  newdata = NULL, re_formula = NULL, allow_new_levels = FALSE,
  sample_new_levels = "uncertainty", resp = NULL, new_objects = list(),
  subset = NULL, nsamples = NULL, pointwise = NULL, nug = NULL,
  k_threshold = 0.7, update_args = list(), cores = 1, wcp = 0.2,
  wtrunc = 3/4)

LOO(x, ...)

Arguments

x

A fitted model object typically of class brmsfit.

...

Optionally more fitted model objects.

compare

A flag indicating if the information criteria of the models should be compared to each other via compare_ic.

reloo

Logical; Indicate whether reloo should be applied on problematic observations. Defaults to FALSE.

newdata

An optional data.frame for which to evaluate predictions. If NULL (default), the original data of the model is used.

re_formula

formula containing group-level effects to be considered in the prediction. If NULL (default), include all group-level effects; if NA, include no group-level effects.

allow_new_levels

A flag indicating if new levels of group-level effects are allowed (defaults to FALSE). Only relevant if newdata is provided.

sample_new_levels

Indicates how to sample new levels for grouping factors specified in re_formula. This argument is only relevant if newdata is provided and allow_new_levels is set to TRUE. If "uncertainty" (default), include group-level uncertainty in the predictions based on the variation of the existing levels. If "gaussian", sample new levels from the (multivariate) normal distribution implied by the group-level standard deviations and correlations. This options may be useful for conducting Bayesian power analysis. If "old_levels", directly sample new levels from the existing levels.

resp

Optional names of response variables. If specified, fitted values of these response variables are returned.

new_objects

A named list of objects containing new data, which cannot be passed via argument newdata. Currently, only required for objects passed to cor_sar and cor_fixed.

subset

A numeric vector specifying the posterior samples to be used. If NULL (the default), all samples are used.

nsamples

Positive integer indicating how many posterior samples should be used. If NULL (the default) all samples are used. Ignored if subset is not NULL.

pointwise

A flag indicating whether to compute the full log-likelihood matrix at once or separately for each observation. The latter approach is usually considerably slower but requires much less working memory. Accordingly, if one runs into memory issues, pointwise = TRUE is the way to go. By default, pointwise is automatically chosen based on the size of the model.

nug

Small positive number for Gaussian process terms only. For numerical reasons, the covariance matrix of a Gaussian process might not be positive definite. Adding a very small number to the matrix's diagonal often solves this problem. If NULL (the default), nug is chosen internally.

k_threshold

The threshold at which pareto \(k\) estimates are treated as problematic. Defaults to 0.7. Only used if argument reloo is TRUE. See pareto_k_ids for more details.

update_args

A list of further arguments passed to update.brmsfit such as iter, chains, or cores.

cores

The number of cores to use for parallelization. Default is 1.

wcp, wtrunc

Parameters used for the Pareto smoothed importance sampling. See loo for details.

Value

If just one object is provided, an object of class ic. If multiple objects are provided, an object of class iclist.

Methods (by class)

  • brmsfit: LOO method for brmsfit objects

Details

When comparing models fitted to the same data, the smaller the LOO, the better the fit. For brmsfit objects, loo is an alias of LOO. Use method add_ic to store information criteria in the fitted model object for later usage.

References

Vehtari, A., Gelman, A., & Gabry J. (2016). Practical Bayesian model evaluation using leave-one-out cross-validation and WAIC. In Statistics and Computing, doi:10.1007/s11222-016-9696-4. arXiv preprint arXiv:1507.04544.

Gelman, A., Hwang, J., & Vehtari, A. (2014). Understanding predictive information criteria for Bayesian models. Statistics and Computing, 24, 997-1016.

Watanabe, S. (2010). Asymptotic equivalence of Bayes cross validation and widely applicable information criterion in singular learning theory. The Journal of Machine Learning Research, 11, 3571-3594.

Examples

Run this code
# NOT RUN {
# model with population-level effects only
fit1 <- brm(rating ~ treat + period + carry,
            data = inhaler, family = "gaussian")
LOO(fit1)

# model with an additional varying intercept for subjects
fit2 <- brm(rating ~ treat + period + carry + (1|subject),
            data = inhaler, family = "gaussian")
# compare both models
LOO(fit1, fit2)                          
# }
# NOT RUN {
# }

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