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Efficient approximate leave-one-out cross-validation (LOO) using subsampling

Usage

# S3 method for class 'brmsfit'
loo_subsample(x, ..., compare = TRUE, resp = NULL, model_names = NULL)

Arguments

x

A brmsfit object.

...

More brmsfit objects or further arguments passed to the underlying post-processing functions. In particular, see prepare_predictions for further supported arguments.

compare

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

resp

Optional names of response variables. If specified, predictions are performed only for the specified response variables.

model_names

If NULL (the default) will use model names derived from deparsing the call. Otherwise will use the passed values as model names.

Details

More details can be found on loo_subsample.

Examples

# \dontrun{
# model with population-level effects only
fit1 <- brm(rating ~ treat + period + carry,
            data = inhaler)
#> Compiling Stan program...
#> Start sampling
#> 
#> SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 1).
#> Chain 1: 
#> Chain 1: Gradient evaluation took 1.6e-05 seconds
#> Chain 1: 1000 transitions using 10 leapfrog steps per transition would take 0.16 seconds.
#> Chain 1: Adjust your expectations accordingly!
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#> Chain 1:  Elapsed Time: 0.019 seconds (Warm-up)
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#> Chain 1:                0.038 seconds (Total)
#> Chain 1: 
#> 
#> SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 2).
#> Chain 2: 
#> Chain 2: Gradient evaluation took 5e-06 seconds
#> Chain 2: 1000 transitions using 10 leapfrog steps per transition would take 0.05 seconds.
#> Chain 2: Adjust your expectations accordingly!
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#> 
#> SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 3).
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#> Chain 3: Gradient evaluation took 5e-06 seconds
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#> 
#> SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 4).
#> Chain 4: 
#> Chain 4: Gradient evaluation took 5e-06 seconds
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#> Chain 4:  Elapsed Time: 0.019 seconds (Warm-up)
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#> Chain 4: 
(loo1 <- loo_subsample(fit1))
#> 
#> Computed from 4000 by 400 subsampled log-likelihood
#> values from 572 total observations.
#> 
#>          Estimate   SE subsampling SE
#> elpd_loo   -529.4 25.8            0.3
#> p_loo         5.9  0.9            0.6
#> looic      1058.8 51.6            0.6
#> ------
#> MCSE of elpd_loo is 0.0.
#> MCSE and ESS estimates assume MCMC draws (r_eff in [0.9, 1.2]).
#> 
#> All Pareto k estimates are good (k < 0.7).
#> See help('pareto-k-diagnostic') for details.

# model with an additional varying intercept for subjects
fit2 <- brm(rating ~ treat + period + carry + (1|subject),
            data = inhaler)
#> Compiling Stan program...
#> Start sampling
#> 
#> SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 1).
#> Chain 1: 
#> Chain 1: Gradient evaluation took 8.5e-05 seconds
#> Chain 1: 1000 transitions using 10 leapfrog steps per transition would take 0.85 seconds.
#> Chain 1: Adjust your expectations accordingly!
#> Chain 1: 
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#> Chain 1: 
#> Chain 1:  Elapsed Time: 1.082 seconds (Warm-up)
#> Chain 1:                0.511 seconds (Sampling)
#> Chain 1:                1.593 seconds (Total)
#> Chain 1: 
#> 
#> SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 2).
#> Chain 2: 
#> Chain 2: Gradient evaluation took 4.7e-05 seconds
#> Chain 2: 1000 transitions using 10 leapfrog steps per transition would take 0.47 seconds.
#> Chain 2: Adjust your expectations accordingly!
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#> 
#> SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 3).
#> Chain 3: 
#> Chain 3: Gradient evaluation took 4.5e-05 seconds
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#> 
#> SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 4).
#> Chain 4: 
#> Chain 4: Gradient evaluation took 4e-05 seconds
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#> Chain 4:  Elapsed Time: 1.003 seconds (Warm-up)
#> Chain 4:                0.516 seconds (Sampling)
#> Chain 4:                1.519 seconds (Total)
#> Chain 4: 
#> Warning: Tail Effective Samples Size (ESS) is too low, indicating posterior variances and tail quantiles may be unreliable.
#> Running the chains for more iterations may help. See
#> https://mc-stan.org/misc/warnings.html#tail-ess
(loo2 <- loo_subsample(fit2))
#> Warning: Some Pareto k diagnostic values are too high. See help('pareto-k-diagnostic') for details.
#> Warning: Some Pareto k diagnostic values are too high. See help('pareto-k-diagnostic') for details.
#> 
#> Computed from 4000 by 400 subsampled log-likelihood
#> values from 572 total observations.
#> 
#>          Estimate   SE subsampling SE
#> elpd_loo   -520.3 25.8            2.5
#> p_loo        83.2  7.3            4.8
#> looic      1040.6 51.5            5.0
#> ------
#> MCSE of elpd_loo is NA.
#> MCSE and ESS estimates assume MCMC draws (r_eff in [0.4, 2.1]).
#> 
#> Pareto k diagnostic values:
#>                          Count Pct.    Min. ESS
#> (-Inf, 0.7]   (good)     398   99.5%   94      
#>    (0.7, 1]   (bad)        2    0.5%   <NA>    
#>    (1, Inf)   (very bad)   0    0.0%   <NA>    
#> See help('pareto-k-diagnostic') for details.

# compare both models
loo_compare(loo1, loo2)
#> Warning: Different subsamples in 'fit2' and 'fit1'. Naive diff SE is used.
#>      elpd_diff se_diff subsampling_se_diff
#> fit2  0.0       0.0     0.0               
#> fit1  9.1      36.5     2.5               
# }