Update doctests

Author: sethaxen

ext/InferenceObjectsPosteriorStatsExt/loo.jl

@@ -19,8 +19,8 @@ julia> idata = load_example_data("centered_eight");
 
 julia> loo(idata)
 PSISLOOResult with estimates
- elpd  elpd_mcse    p  p_mcse
-  -31        1.4  0.9    0.33
+ elpd  se_elpd    p  se_p
+  -31      1.4  0.9  0.33
 
 and PSISResult with 500 draws, 4 chains, and 8 parameters
 Pareto shape (k) diagnostic values:

ext/InferenceObjectsPosteriorStatsExt/summarize.jl

@@ -33,18 +33,18 @@ julia> data = load_example_data("centered_eight");
 
 julia> summarize(data)
 SummaryStats
-                          mean  std  hdi_3%  hdi_97%  mcse_mean  mcse_std  ess ⋯
- mu                        4.2  3.3  -1.61     10.3        0.21     0.088      ⋯
- theta[Choate]             6.4  5.9  -3.68     17.9        0.25     0.20       ⋯
- theta[Deerfield]          5.0  4.9  -4.98     13.4        0.21     0.15       ⋯
- theta[Phillips Andover]   3.4  5.4  -7.54     12.9        0.23     0.17       ⋯
- theta[Phillips Exeter]    4.8  5.2  -5.11     14.1        0.21     0.21       ⋯
- theta[Hotchkiss]          3.5  4.8  -6.12     12.0        0.25     0.15       ⋯
- theta[Lawrenceville]      3.7  5.2  -6.50     12.7        0.22     0.21       ⋯
- theta[St. Paul's]         6.5  5.2  -2.67     16.9        0.22     0.15       ⋯
- theta[Mt. Hermon]         4.8  5.7  -5.97     15.4        0.24     0.23       ⋯
- tau                       4.3  3.0   0.715     9.41       0.22     0.14       ⋯
-                                                               3 columns omitted
+                          mean  std  eti94          ess_tail  ess_bulk  rhat   ⋯
+ mu                        4.2  3.3  -2.11 .. 9.90       622       241  1.03   ⋯
+ theta[Choate]             6.4  5.9  -3.05 .. 19.1       937       572  1.01   ⋯
+ theta[Deerfield]          5.0  4.9  -4.49 .. 14.2      1214       532  1.01   ⋯
+ theta[Phillips Andover]   3.4  5.4  -8.17 .. 12.7      1017       511  1.01   ⋯
+ theta[Phillips Exeter]    4.8  5.2  -4.84 .. 14.5       911       572  1.01   ⋯
+ theta[Hotchkiss]          3.5  4.8  -6.11 .. 12.0       789       347  1.02   ⋯
+ theta[Lawrenceville]      3.7  5.2  -6.62 .. 12.6       957       506  1.01   ⋯
+ theta[St. Paul's]         6.5  5.2  -2.38 .. 18.3      1031       528  1.01   ⋯
+ theta[Mt. Hermon]         4.8  5.7  -5.52 .. 16.0      1045       538  1.01   ⋯
+ tau                       4.3  3.0   1.06 .. 11.5       214       128  1.03   ⋯
+                                                               2 columns omitted
 ```
 
 Compute the mean, standard deviation, median, and median absolute deviation of the `theta`

ext/InferenceObjectsPosteriorStatsExt/waic.jl

@@ -19,8 +19,8 @@ julia> idata = load_example_data("centered_eight");
 
 julia> waic(idata)
 WAICResult with estimates
- elpd  elpd_mcse    p  p_mcse
-  -31        1.4  0.9    0.32
+ elpd  se_elpd    p  se_p
+  -31      1.4  0.9  0.32
 ```
 """
 function PosteriorStats.waic(