R/bootstrapped_statistics.R
bootstrapped_statistics.RdFrom a bootstrap run several statistics are computed. These are the model frequency, the bootstrap statistics of each parameter and, if the bootstrap is nonparametric, also the co-clustering probability of the input points. All the bootstrapped values are also returned. For the bootstrapped statistics the confidence intervals are returned for a required alpha value.
bootstrapped_statistics( x, bootstrap_results, bootstrap = "nonparametric", alpha = 0.025 )
| x | A MOBSTER fit. |
|---|---|
| bootstrap_results | The results of running function |
| bootstrap | Type of boostrap: |
| alpha | Alpha-level empirical CIs for the bootstrap distribution. |
A list with the bootstrapped values, the model frequency, the bootstraped statistics and the co-clustering probability - non-null only for nonparametric boostrap.
# Random small dataset dataset = random_dataset(N = 200, seed = 123, Beta_variance_scaling = 100) x = mobster_fit(dataset$data, auto_setup = 'FAST')#> [ MOBSTER fit ] #>#> ✔ Loaded input data, n = 200.#> 1,2 Beta(s). Pareto tail: TRUE and FALSE. Output #>#> ! mobster automatic setup FAST for the analysis.#> without parallel) 2 x 2 x 2 = 8 models by reICL.#> #> #>#> ℹ MOBSTER fits completed in 10.3s.#>#> [ MOBSTER ] My MOBSTER model n = 200 with k = 2 Beta(s) without tail ────────#> C1] and 48% [C2], with π > 0.#> ✖ No tail fit.#>#> C1 [n = 102, 52%] with mean = 0.58.#> C2 [n = 98, 48%] with mean = 0.11.#> ℹ Score(s): NLL = -108.12; ICL = -182.58 (-182.58), H = 1.88 (1.88). Fit #> converged by MM in 66 steps.# Just 5 resamples of a nonparametric bootstrap run, disabling the parallel engine options(easypar.parallel = FALSE) boot_results = mobster_bootstrap(x$best, n.resamples = 5, auto_setup = 'FAST')#> [ MOBSTER bootstrap ~ 5 resamples from nonparametric bootstrap ] #>#> [ MOBSTER ] My MOBSTER model n = 200 with k = 2 Beta(s) without tail ────────#> C1] and 48% [C2], with π > 0.#> ✖ No tail fit.#>#> C1 [n = 102, 52%] with mean = 0.58.#> C2 [n = 98, 48%] with mean = 0.11.#> ℹ Score(s): NLL = -108.12; ICL = -182.58 (-182.58), H = 1.88 (1.88). Fit #> converged by MM in 66 steps.#>#> ℹ Creating nonparametric bootstrap resamples#> ✔ Creating nonparametric bootstrap resamples ... done#>#>#>#>#> [ MOBSTER fit ] #>#> ✔ Loaded input data, n = 200.#> 1,2 Beta(s). Pareto tail: TRUE and FALSE. Output #>#> ! mobster automatic setup FAST for the analysis.#> without parallel) 2 x 2 x 2 = 8 models by reICL.#>#>#> #>#> ℹ MOBSTER fits completed in 9.2s.#>#> [ MOBSTER ] My MOBSTER model n = 200 with k = 2 Beta(s) without tail ────────#> C1] and 49% [C2], with π > 0.#> ✖ No tail fit.#>#> C1 [n = 101, 51%] with mean = 0.58.#> C2 [n = 99, 49%] with mean = 0.11.#> ℹ Score(s): NLL = -118.81; ICL = -204.17 (-204.17), H = 1.66 (1.66). Fit #> converged by MM in 61 steps.#> [ MOBSTER fit ] #>#> ✔ Loaded input data, n = 200.#> 1,2 Beta(s). Pareto tail: TRUE and FALSE. Output #>#> ! mobster automatic setup FAST for the analysis.#> without parallel) 2 x 2 x 2 = 8 models by reICL.#>#>#> #>#> ℹ MOBSTER fits completed in 7.9s.#>#> [ MOBSTER ] My MOBSTER model n = 200 with k = 2 Beta(s) without tail ────────#> C2] and 50% [C1], with π > 0.#> ✖ No tail fit.#>#> C1 [n = 99, 50%] with mean = 0.6.#> C2 [n = 101, 50%] with mean = 0.12.#> ℹ Score(s): NLL = -110.86; ICL = -188.81 (-188.81), H = 1.12 (1.12). Fit #> converged by MM in 57 steps.#> [ MOBSTER fit ] #>#> ✔ Loaded input data, n = 200.#> 1,2 Beta(s). Pareto tail: TRUE and FALSE. Output #>#> ! mobster automatic setup FAST for the analysis.#> without parallel) 2 x 2 x 2 = 8 models by reICL.#>#>#> #>#> ℹ MOBSTER fits completed in 9.8s.#>#> [ MOBSTER ] My MOBSTER model n = 200 with k = 2 Beta(s) without tail ────────#> C1] and 47% [C2], with π > 0.#> ✖ No tail fit.#>#> C1 [n = 106, 53%] with mean = 0.59.#> C2 [n = 94, 47%] with mean = 0.11.#> ℹ Score(s): NLL = -117.56; ICL = -201.98 (-201.98), H = 1.35 (1.35). Fit #> converged by MM in 76 steps.#> [ MOBSTER fit ] #>#> ✔ Loaded input data, n = 200.#> 1,2 Beta(s). Pareto tail: TRUE and FALSE. Output #>#> ! mobster automatic setup FAST for the analysis.#> without parallel) 2 x 2 x 2 = 8 models by reICL.#>#>#> #>#> ℹ MOBSTER fits completed in 10.5s.#>#> [ MOBSTER ] My MOBSTER model n = 200 with k = 2 Beta(s) without tail ────────#> C1] and 46% [C2], with π > 0.#> ✖ No tail fit.#>#> C1 [n = 108, 54%] with mean = 0.59.#> C2 [n = 92, 46%] with mean = 0.13.#> ℹ Score(s): NLL = -101.74; ICL = -170.66 (-170.66), H = 1.02 (1.02). Fit #> converged by MM in 13 steps.#> [ MOBSTER fit ] #>#> ✔ Loaded input data, n = 200.#> 1,2 Beta(s). Pareto tail: TRUE and FALSE. Output #>#> ! mobster automatic setup FAST for the analysis.#> without parallel) 2 x 2 x 2 = 8 models by reICL.#>#>#> #>#> ℹ MOBSTER fits completed in 10.6s.#>#> [ MOBSTER ] My MOBSTER model n = 200 with k = 2 Beta(s) without tail ────────#> C1] and 42% [C2], with π > 0.#> ✖ No tail fit.#>#> C1 [n = 114, 58%] with mean = 0.57.#> C2 [n = 86, 42%] with mean = 0.11.#> ℹ Score(s): NLL = -105.37; ICL = -177.17 (-177.17), H = 1.78 (1.78). Fit #> interrupted by MM in 100 steps.boot_stats = bootstrapped_statistics(x$best, boot_results)#>#> ── Computing model frequency ───────────────────────────────────────────────────#> # A tibble: 1 x 3 #> Model Frequency fit.model #> <fct> <dbl> <lgl> #> 1 K = 2 without tail 1 TRUE#>#> ── Computing confidence Intervals (CI) for empirical quantiles ─────────────────#> #> Mixing proportions #> # A tibble: 3 x 8 #> cluster statistics min lower_quantile higher_quantile max fit.value #> <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> #> 1 C1 Mixing pr… 0.499 0.500 0.574 0.578 0.517 #> 2 C2 Mixing pr… 0.422 0.426 0.500 0.501 0.483 #> 3 Tail Mixing pr… 0 0 0 0 0 #> # … with 1 more variable: init.value <dbl> #> #> Tail shape/ scale #> # A tibble: 0 x 8 #> # … with 8 variables: cluster <chr>, statistics <chr>, min <dbl>, #> # lower_quantile <dbl>, higher_quantile <dbl>, max <dbl>, fit.value <dbl>, #> # init.value <dbl> #> #> Beta peaks #> # A tibble: 4 x 8 #> cluster statistics min lower_quantile higher_quantile max fit.value #> <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> #> 1 C1 Mean 0.574 0.575 0.599 0.600 0.581 #> 2 C1 Variance 0.00709 0.00712 0.00868 0.00874 0.00893 #> 3 C2 Mean 0.107 0.107 0.127 0.129 0.112 #> 4 C2 Variance 0.00317 0.00317 0.00447 0.00455 0.00341 #> # … with 1 more variable: init.value <dbl>#>#> ── Computing co-clustering probability for nonparametric bootstrap ─────────────#> $bootstrap_values #> # A tibble: 55 x 5 #> cluster statistics fit.value init.value resample #> <chr> <chr> <dbl> <dbl> <int> #> 1 C2 a 3.09 3.44 1 #> 2 C2 b 25.8 3.44 1 #> 3 C2 Mean 0.107 0.134 1 #> 4 C2 Variance 0.00319 0.00435 1 #> 5 C1 a 16.7 13.6 1 #> 6 C1 b 12.2 13.6 1 #> 7 C1 Mean 0.578 0.782 1 #> 8 C1 Variance 0.00816 0.00928 1 #> 9 C2 Mixing proportion 0.490 0.333 1 #> 10 C1 Mixing proportion 0.510 0.333 1 #> # … with 45 more rows #> #> $bootstrap_model #> # A tibble: 1 x 3 #> Model Frequency fit.model #> <fct> <dbl> <lgl> #> 1 K = 2 without tail 1 TRUE #> #> $bootstrap_statistics #> # A tibble: 11 x 8 #> cluster statistics min lower_quantile higher_quantile max fit.value #> <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> #> 1 C1 a 1.59e+1 15.9 19.4 1.95e+1 15.3 #> 2 C1 b 1.06e+1 10.7 13.7 1.37e+1 11.0 #> 3 C1 Mean 5.74e-1 0.575 0.599 6.00e-1 0.581 #> 4 C1 Mixing pr… 4.99e-1 0.500 0.574 5.78e-1 0.517 #> 5 C1 Variance 7.09e-3 0.00712 0.00868 8.74e-3 0.00893 #> 6 C2 a 2.88e+0 2.88 3.60 3.66e+0 3.17 #> 7 C2 b 2.06e+1 20.8 27.6 2.78e+1 25.1 #> 8 C2 Mean 1.07e-1 0.107 0.127 1.29e-1 0.112 #> 9 C2 Mixing pr… 4.22e-1 0.426 0.500 5.01e-1 0.483 #> 10 C2 Variance 3.17e-3 0.00317 0.00447 4.55e-3 0.00341 #> 11 Tail Mixing pr… 0. 0 0 0. 0 #> # … with 1 more variable: init.value <dbl> #> #> $bootstrap_co_clustering #> 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 #> 1 0 2 2 4 2 2 4 3 3 3 0 3 3 4 4 4 1 2 3 2 2 2 3 3 2 3 4 2 #> 2 0 0 2 3 2 2 3 2 3 2 1 2 3 2 2 3 2 1 2 1 2 1 3 2 2 2 2 1 #> 3 0 0 0 3 3 1 3 3 2 2 1 3 3 2 2 3 1 2 1 0 1 2 3 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4 2 #> 174 4 3 3 3 #> 175 3 2 2 2 #> 176 4 3 3 3 #> 177 4 3 3 3 #> 178 1 1 1 1 #> 179 0 0 0 0 #> 180 3 3 3 2 #> 181 3 2 2 2 #> 182 4 3 3 2 #> 183 1 1 1 1 #> 184 4 3 3 3 #> 185 4 3 3 2 #> 186 1 0 0 1 #> 187 2 1 1 1 #> 188 3 3 3 2 #> 189 4 3 3 3 #> 190 5 4 4 3 #> 191 4 3 3 2 #> 192 2 2 2 1 #> 193 5 4 4 3 #> 197 0 4 4 3 #> 198 0 0 4 2 #> 199 0 0 0 2 #> 200 0 0 0 0 #> #> $bootstrap_co_clustering_ordered_labels #> # A tibble: 200 x 3 #> VAF cluster input_point #> <dbl> <chr> <int> #> 1 0.615 C1 1 #> 2 0.572 C1 2 #> 3 0.846 C1 3 #> 4 0.679 C1 4 #> 5 0.502 C1 5 #> 6 0.582 C1 6 #> 7 0.530 C1 7 #> 8 0.691 C1 8 #> 9 0.654 C1 9 #> 10 0.601 C1 10 #> # … with 190 more rows #>