diff --git a/README.md b/README.md index fcb199c..6bdf742 100644 --- a/README.md +++ b/README.md @@ -1,4 +1,4 @@ -# hdpGLM +# hdpGLM [![CRAN status](https://www.r-pkg.org/badges/version/hdpGLM?color=green)](https://cran.r-project.org/package=hdpGLM) [![](https://travis-ci.org/DiogoFerrari/hdpGLM.svg)](https://travis-ci.org/DiogoFerrari/hdpGLM) diff --git a/docs/articles/hdpGLM.html b/docs/articles/hdpGLM.html index 1a48414..e212675 100644 --- a/docs/articles/hdpGLM.html +++ b/docs/articles/hdpGLM.html @@ -162,7 +162,7 @@

Estimation#> -------------------------------- #> dpGLM model object #> -#> Maximum number of clusters activated during the estimation: 10 +#> Maximum number of clusters activated during the estimation: 16 #> Numer of MCMC iterations: 500 #> burn-in: 10 #> -------------------------------- @@ -173,21 +173,21 @@

Estimation#> Coefficients for cluster 1 (cluster label 1) #> #> Post.Mean Post.Median HPD.lower HPD.upper -#> 1 (Intercept) -3.820342 -3.8205851 -3.8955201 -3.739614 -#> 2 inequality -1.518934 -1.5207438 -1.5895745 -1.442059 -#> 3 income 3.881108 3.8811515 3.8137486 3.956360 -#> 4 ideology -8.259434 -8.2594468 -8.3230964 -8.182621 -#> 5 sigma 0.981664 0.9856416 0.8756627 1.076816 +#> 1 (Intercept) -3.870745 -3.871273 -3.9372547 -3.783851 +#> 2 inequality 1.998933 1.999023 1.9383191 2.065119 +#> 3 income 3.852747 3.852675 3.7825013 3.919162 +#> 4 ideology -8.304096 -8.304810 -8.3779430 -8.231231 +#> 5 sigma 1.000934 1.000591 0.9222278 1.084491 #> #> -------------------------------- -#> Coefficients for cluster 2 (cluster label 8) +#> Coefficients for cluster 2 (cluster label 9) #> #> Post.Mean Post.Median HPD.lower HPD.upper -#> 1 (Intercept) -3.8713264 -3.8724449 -3.9348173 -3.804220 -#> 2 inequality 2.0029112 2.0022762 1.9332656 2.066500 -#> 3 income 3.8490656 3.8486538 3.7778248 3.919457 -#> 4 ideology -8.3074780 -8.3057829 -8.3810070 -8.226528 -#> 5 sigma 0.9977652 0.9950568 0.9110387 1.081033 +#> 1 (Intercept) -3.8184074 -3.8192347 -3.8848067 -3.739144 +#> 2 inequality -1.5249039 -1.5251752 -1.5880149 -1.452453 +#> 3 income 3.8824352 3.8825773 3.8064853 3.954712 +#> 4 ideology -8.2571529 -8.2572848 -8.3330580 -8.183055 +#> 5 sigma 0.9704992 0.9700404 0.8568248 1.077768 #> #> --------------------------------

The summary function prints the result in a tidy format. The column k in the summary shows the label of the estimated clusters. The column Mean is the average of the posterior distribution for each linear coefficient in each cluster.

@@ -196,19 +196,19 @@

Estimationwelfare_clustered = classify(welfare, mod) head(welfare_clustered) #> Cluster support inequality income ideology -#> 1 8 -18.5649610 0.3392724 0.1425111 1.9225985 -#> 2 8 -9.3905812 -0.9906646 -0.5117102 0.2483346 -#> 3 8 0.9276234 -2.2318510 -0.3856288 -1.3619216 -#> 4 8 -12.3594498 -3.0079501 -0.9440585 -0.2088675 -#> 5 1 -2.4834411 0.1000455 0.8322192 0.1321378 -#> 6 8 -11.4187853 -0.9543883 -0.8810503 0.2916444 +#> 1 1 -18.5649610 0.3392724 0.1425111 1.9225985 +#> 2 1 -9.3905812 -0.9906646 -0.5117102 0.2483346 +#> 3 1 0.9276234 -2.2318510 -0.3856288 -1.3619216 +#> 4 1 -12.3594498 -3.0079501 -0.9440585 -0.2088675 +#> 5 9 -2.4834411 0.1000455 0.8322192 0.1321378 +#> 6 1 -11.4187853 -0.9543883 -0.8810503 0.2916444 tail(welfare_clustered) #> Cluster support inequality income ideology -#> 1995 1 -1.5230053 1.055855140 -0.7295937 -0.7067871 -#> 1996 1 0.4814892 0.582588091 2.0051082 0.3090389 -#> 1997 1 -14.1929956 0.391164197 -0.9607449 0.7765482 +#> 1995 9 -1.5230053 1.055855140 -0.7295937 -0.7067871 +#> 1996 9 0.4814892 0.582588091 2.0051082 0.3090389 +#> 1997 9 -14.1929956 0.391164197 -0.9607449 0.7765482 #> 1998 1 -8.2396789 0.074437376 1.2020300 1.0874928 -#> 1999 1 -23.1583753 0.434223018 -0.6176438 2.0387294 +#> 1999 9 -23.1583753 0.434223018 -0.6176438 2.0387294 #> 2000 1 -7.2075582 0.008355317 -0.4538951 0.2268072

There are a series of built-in functions, with various options, to plot the results. In the example below, you see two of those options. The separate parameter plot the posterior samples for each cluster separately, and the option ncols controls how many columns to use for the panels in the figure (to see more, run help(plot.hdpGLM) and help(plot.dpGLM)).

@@ -264,7 +264,7 @@ 
Estimating Context-de
 #> Number of clusters (summary across contexts): 
 #> 
 #>   Average  Std.Dev Median Min. Max.
-#> 1       6 1.581139      6    4    8
+#> 1     3.8 1.095445      4    2    5
 #> -------------------------------- 
 #> 
 #> 
@@ -273,159 +273,115 @@ 
Estimating Context-de
 #> --------------------------------
 #> Coefficients and clusters for context 1
 #> 
-#>                 Post.Mean Post.Median   HPD.lower  HPD.upper Cluster
-#> 1  (Intercept) -3.8435408  -3.8331510 -3.97615472 -3.7537721       1
-#> 2   inequality -1.3261029  -1.4901385 -1.60901140  0.1909329       1
-#> 3       income  3.9066994   3.8943490  3.82972320  4.0263987       1
-#> 4     ideology -8.2611514  -8.2624920 -8.33710096 -8.1455290       1
-#> 5  (Intercept) -4.1654905  -4.0462736 -4.69968653 -3.8005696       2
-#> 6   inequality  1.4334157   1.8348051 -0.05470515  2.0414495       2
-#> 7       income  3.2182141   3.7806349  1.36860779  3.9024854       2
-#> 8     ideology -8.4188022  -8.3177074 -9.17621538 -8.1796062       2
-#> 9  (Intercept) -3.7734976  -3.7792676 -3.92427463 -3.6115441       4
-#> 10  inequality  2.1559495   2.1683449  1.77261760  2.4698304       4
-#> 11      income  3.7756314   3.9057743  2.39785208  3.9984130       4
-#> 12    ideology -8.4067996  -8.3653046 -8.79600576 -8.2157451       4
-#> 13 (Intercept) -1.6294115  -1.9283983 -2.97297752  2.6425719       9
-#> 14  inequality  0.2594955   0.3268137 -2.65567556  1.8628584       9
-#> 15      income  3.2532009   3.5737939  0.37857368  4.5539295       9
-#> 16    ideology -8.3468020  -8.2634402 -9.35668914 -7.3552482       9
+#>                Post.Mean Post.Median HPD.lower  HPD.upper Cluster
+#> 1  (Intercept) -3.761428   -3.771248 -3.864421 -3.5027048       1
+#> 2   inequality -1.484083   -1.534678 -1.616683 -0.7499711       1
+#> 3       income  3.879462    3.882396  3.774988  3.9886461       1
+#> 4     ideology -8.257659   -8.269118 -8.380857 -8.0369345       1
+#> 5  (Intercept) -3.689410   -3.594898 -4.073907 -3.4777484       3
+#> 6   inequality  2.132635    2.152062  1.949586  2.2339621       3
+#> 7       income  3.875721    3.897136  3.694955  3.9638789       3
+#> 8     ideology -8.395083   -8.398066 -8.549199 -8.1152613       3
+#> 9  (Intercept) -4.135991   -4.119915 -4.519042 -3.9419748       4
+#> 10  inequality  1.837423    1.838560  1.611611  2.0460127       4
+#> 11      income  3.780745    3.786486  3.492423  4.0138943       4
+#> 12    ideology -8.212079   -8.284959 -8.498787 -7.5438859       4
+#> 13 (Intercept) -3.585939   -3.580628 -3.999386 -3.3275176       6
+#> 14  inequality  2.297557    2.273355  1.958788  2.8820032       6
+#> 15      income  4.316107    4.352829  3.712140  4.7519718       6
+#> 16    ideology -7.103224   -7.172574 -7.502413 -6.5254658       6
 #> 
 #> --------------------------------
-#> Coefficients and clusters for context 2
+#> Coefficients and clusters for context 3
 #> 
 #>                  Post.Mean Post.Median  HPD.lower   HPD.upper Cluster
-#> 1  (Intercept)  0.51517881  0.36982828 -1.1130717  3.30249080       1
-#> 2   inequality -0.45557980 -0.20228041 -4.5808496  1.19173373       1
-#> 3       income -0.23081965  0.13507036 -6.4076499  1.09119173       1
-#> 4     ideology -1.99271658 -1.82966055 -4.1611936  4.26886540       1
-#> 5  (Intercept)  0.52389369  0.45962310  0.2398841  1.05539241       2
-#> 6   inequality -1.14002268 -0.98920628 -2.3117589 -0.76755352       2
-#> 7       income  2.08428502  2.01491051  1.8084943  2.93497029       2
-#> 8     ideology -1.35643411 -1.49235789 -1.6937644  0.01399451       2
-#> 9  (Intercept) -0.08153898 -0.14729049 -1.0246796  1.15942831       3
-#> 10  inequality  0.94896101  0.94429845  0.2015474  1.81448360       3
-#> 11      income -0.38343117 -0.29268862 -2.1449640  0.26683443       3
-#> 12    ideology -0.96905307 -1.22408914 -2.0249429  2.39941207       3
-#> 13 (Intercept) -0.28342929 -0.25251476 -1.0816921  0.04286750       5
-#> 14  inequality -1.39204865 -1.33632204 -2.3874876 -1.07728801       5
-#> 15      income -0.59661544 -0.56389919 -1.0997142 -0.31865697       5
-#> 16    ideology -2.19548561 -2.42322731 -2.5587404  0.68848760       5
-#> 17 (Intercept)  1.12505164  1.27700303 -0.8627735  1.53019849       6
-#> 18  inequality  0.88482857  0.94888981 -0.2893567  1.14176656       6
-#> 19      income  0.84726425  0.85747370  0.3982322  1.10390156       6
-#> 20    ideology -1.47622400 -1.76979768 -2.0274940  2.90507937       6
-#> 21 (Intercept) -0.06257288  0.24009197 -3.5631537  1.09447357       8
-#> 22  inequality -1.81240073 -1.65072309 -2.7426522 -1.19761110       8
-#> 23      income -0.84998923 -1.19613474 -1.6119598  1.49553415       8
-#> 24    ideology -1.89030882 -1.79190882 -3.5228788 -1.17520153       8
-#> 25 (Intercept) -0.66600743 -0.62652090 -2.7758009  0.62286584       9
-#> 26  inequality -1.52015838 -1.53887343 -4.0228883  0.79006614       9
-#> 27      income  0.30017208  0.24313952 -3.2089231  3.26031261       9
-#> 28    ideology -2.46547313 -2.66935554 -9.1347461  1.31292225       9
-#> 29 (Intercept) -0.19615868  0.02584415 -4.4148130  2.33270769      10
-#> 30  inequality -1.12077777 -0.96591307 -3.6755876  1.15610225      10
-#> 31      income  0.01800805  0.03644266 -1.3027596  1.97109753      10
-#> 32    ideology -1.04117294 -1.10409139 -3.1644595  1.56493757      10
+#> 1  (Intercept) -1.01972494  -0.9502500 -3.5698961  0.17614910       2
+#> 2   inequality  0.33566451   0.6475783 -4.3723765  2.23232802       2
+#> 3       income -3.42609029  -3.6012512 -4.4005961 -1.84963000       2
+#> 4     ideology  0.02743495   1.0186052 -9.8687885  1.40664539       2
+#> 5  (Intercept)  0.27407288   0.6057320 -2.9319293  2.61216520       5
+#> 6   inequality  0.81914713   1.0496694 -3.2244425  4.55745982       5
+#> 7       income -1.95008265  -1.9142603 -7.8228012  1.12474710       5
+#> 8     ideology  0.79326369   0.8439503 -0.9768162  4.43579468       5
+#> 9  (Intercept) -0.21247282  -0.2154776 -0.4095234  0.06000963       6
+#> 10  inequality -0.59965740  -0.5757999 -0.7782928 -0.29451913       6
+#> 11      income -3.96004968  -4.0120927 -4.3278624 -3.63306485       6
+#> 12    ideology  0.74858027   0.6543076  0.4656465  1.39574302       6
+#> 13 (Intercept) -0.40891219  -0.1665331 -2.0543362  0.71347786       7
+#> 14  inequality  0.33519509   0.4952928 -0.9007382  0.78363120       7
+#> 15      income -3.13908189  -3.1348601 -4.1975067 -2.09945118       7
+#> 16    ideology  1.55395606   2.1930328 -2.5837170  2.64629105       7
 #> 
 #> --------------------------------
 #> Coefficients and clusters for context 4
 #> 
-#>                  Post.Mean Post.Median  HPD.lower   HPD.upper Cluster
-#> 1  (Intercept) -0.73169442  -0.9037980 -1.1013846  0.02095586       2
-#> 2   inequality -1.43295067  -1.1818594 -2.1454116 -1.05185860       2
-#> 3       income -2.19496354  -2.1967887 -2.4152972 -1.92226657       2
-#> 4     ideology -0.32657228  -0.4105017 -0.5678483  0.05895695       2
-#> 5  (Intercept)  0.30496453   0.3074959  0.1375807  0.50958599       3
-#> 6   inequality -0.97712826  -0.9698720 -1.1711130 -0.80950998       3
-#> 7       income -2.52909758  -2.5380155 -2.7778165 -2.28215864       3
-#> 8     ideology -0.65522072  -0.6180790 -1.7552076 -0.18595031       3
-#> 9  (Intercept) -0.82320049  -0.5636055 -2.7392664  0.01507585       4
-#> 10  inequality -0.70580192  -0.6398551 -2.6985684  0.54406905       4
-#> 11      income -2.88178379  -3.1539417 -3.5607514 -1.37349445       4
-#> 12    ideology -0.27218048  -0.1219527 -1.0505935  0.17477572       4
-#> 13 (Intercept) -0.07288973  -0.1241986 -0.5169159  0.33336338       5
-#> 14  inequality -1.47828818  -1.4600679 -1.8922423 -1.13063116       5
-#> 15      income -2.75122165  -2.7351810 -3.1753430 -2.34791485       5
-#> 16    ideology  0.36634080   0.4262114 -0.4475449  0.69993376       5
-#> 17 (Intercept) -0.84468338  -0.3447709 -4.7801772  0.75100507       6
-#> 18  inequality  2.23500247   2.1281864 -2.0873087  5.44966683       6
-#> 19      income -1.72149327  -2.6214383 -4.1903446  5.03939343       6
-#> 20    ideology  0.63702113   0.8832615 -4.7261404  3.37890339       6
-#> 21 (Intercept)  0.63612631   0.6218067 -1.8050652  1.12838455       8
-#> 22  inequality -1.04446505  -0.8454189 -2.6105068 -0.33908151       8
-#> 23      income -2.19520750  -2.5450627 -3.2433446  0.13591487       8
-#> 24    ideology  0.39650249   0.5418948 -0.1688364  1.03508159       8
+#>                  Post.Mean Post.Median   HPD.lower   HPD.upper Cluster
+#> 1  (Intercept)  0.08458388   0.1036253 -0.10656874  0.26854517       2
+#> 2   inequality -1.24351101  -1.1234950 -1.73284993 -0.96408102       2
+#> 3       income -2.65917476  -2.6207384 -3.01106324 -2.47416175       2
+#> 4     ideology  0.17112921   0.1936271 -0.09124850  0.38057911       2
+#> 5  (Intercept) -0.11995853  -0.1332263 -0.45516307  0.22772784       3
+#> 6   inequality -0.42929930  -0.3420012 -1.03889211 -0.10322987       3
+#> 7       income -3.28779886  -3.3342870 -5.04496876 -3.04179163       3
+#> 8     ideology -1.55452088  -1.6054922 -2.63135390 -1.21171503       3
+#> 9  (Intercept)  0.56821304   0.5654671 -0.06006991  6.87520087       5
+#> 10  inequality -0.21440090  -0.3584463 -1.57828907  2.01061143       5
+#> 11      income -2.83550116  -2.8284259 -5.04087800 -2.33390705       5
+#> 12    ideology -0.51575757  -0.3123377 -2.50613175  1.36176785       5
+#> 13 (Intercept)  0.15182891   0.1093422 -0.57155433  0.65422756       6
+#> 14  inequality -1.34700826  -1.4510370 -1.70968255  0.27885980       6
+#> 15      income -2.54424248  -2.4895309 -2.98312733 -1.87148575       6
+#> 16    ideology -0.94517802  -0.8977156 -1.36595531 -0.04142274       6
 #> 
 #> --------------------------------
-#> Coefficients and clusters for context 3
+#> Coefficients and clusters for context 5
 #> 
-#>                  Post.Mean Post.Median  HPD.lower   HPD.upper Cluster
-#> 1  (Intercept) -0.25926953 -0.19820173 -0.8816599  0.03342723       3
-#> 2   inequality  0.78949978  0.64948395  0.5068128  1.55336311       3
-#> 3       income -2.85449611 -2.74641691 -3.3410792 -2.59413200       3
-#> 4     ideology  2.30467376  2.47924176  0.8218901  2.66171271       3
-#> 5  (Intercept) -1.23877840 -1.18551761 -3.2578749 -0.54258564       4
-#> 6   inequality -1.65628941 -1.27929729 -5.5054353 -0.94653243       4
-#> 7       income -3.87005921 -3.60267799 -4.7326358 -2.94788794       4
-#> 8     ideology  0.70516584  0.54238621  0.2423656  2.75080495       4
-#> 9  (Intercept) -0.39154150 -0.42097471 -2.2758667  0.97352390       5
-#> 10  inequality  1.85820726  1.69308566 -0.2560587  5.43778542       5
-#> 11      income -3.40348888 -3.57881612 -3.8411959  3.14998154       5
-#> 12    ideology  0.84778008  1.18706324 -2.6682937  2.33590577       5
-#> 13 (Intercept) -1.60223761 -1.71800492 -3.6047634  3.02291795       6
-#> 14  inequality -0.30337093 -0.21030377 -3.7006471  2.47982950       6
-#> 15      income -3.22913871 -3.32121285 -4.9993828  4.10891333       6
-#> 16    ideology  0.86996488  0.73873960 -1.3419990  5.59434670       6
-#> 17 (Intercept) -0.08123915 -0.07360822 -0.3040332  0.13814669       7
-#> 18  inequality -0.46931615 -0.45660556 -0.7247035 -0.24120807       7
-#> 19      income -3.90040841 -3.92053592 -4.1540293 -3.58396193       7
-#> 20    ideology  0.82768350  0.79159576  0.5023551  1.21020385       7
+#>                  Post.Mean Post.Median   HPD.lower    HPD.upper Cluster
+#> 1  (Intercept) -0.41076706 -0.42330112 -0.62709533 -0.228722047       2
+#> 2   inequality -1.90652980 -1.98379960 -2.41419022 -0.778159910       2
+#> 3       income  0.35921257  0.30631446 -0.09367145  0.974484572       2
+#> 4     ideology -0.60789102 -0.68681736 -1.15577145  0.013986403       2
+#> 5  (Intercept) -0.78556490 -0.72162660 -2.42877100 -0.572660814       4
+#> 6   inequality  0.61748017  0.72212411 -3.70521945  1.460257673       4
+#> 7       income -0.01009737 -0.06005723 -1.78212427  1.960554064       4
+#> 8     ideology -0.96783199 -0.97602856 -1.28083761 -0.153856716       4
+#> 9  (Intercept) -0.18284453 -0.16682425 -0.76590308  0.162066888       7
+#> 10  inequality  0.20182834  0.42979510 -0.68526959  0.915967609       7
+#> 11      income -0.99309544 -1.06376202 -1.81417075  0.009949559       7
+#> 12    ideology -1.99955938 -1.99192948 -2.38325066 -1.563746292       7
+#> 13 (Intercept)  0.08793006  0.15532892 -0.50444659  0.608187508       8
+#> 14  inequality  1.37162265  1.36445799  0.89161439  1.638011301       8
+#> 15      income -0.06733220 -0.10184715 -1.23457889  1.068965427       8
+#> 16    ideology -2.27355841 -2.27660165 -2.65535749 -1.974109528       8
+#> 17 (Intercept)  0.14827057  0.18719294 -1.51269874  1.202668238      10
+#> 18  inequality -2.72308234 -2.82317889 -3.19663915  0.094871656      10
+#> 19      income  0.04018461 -0.13301824 -0.42411609  2.214531168      10
+#> 20    ideology -2.65614903 -2.41344511 -6.70097257 -2.177476268      10
 #> 
 #> --------------------------------
-#> Coefficients and clusters for context 5
+#> Coefficients and clusters for context 2
 #> 
-#>                 Post.Mean Post.Median  HPD.lower    HPD.upper Cluster
-#> 1  (Intercept) -1.4230080  -1.5321705 -5.8839698  0.661614331       3
-#> 2   inequality -1.0037273  -0.5778022 -4.0309941  1.938385162       3
-#> 3       income -1.4495888  -1.4399573 -7.2817562  1.303123917       3
-#> 4     ideology -1.4762405  -1.1722886 -4.9055396  2.085237802       3
-#> 5  (Intercept)  0.5974113   0.5996596  0.4375301  0.806622644       4
-#> 6   inequality -3.2824664  -3.2509196 -3.7445584 -3.016684375       4
-#> 7       income -0.6024051  -0.6293511 -1.0480435 -0.076555141       4
-#> 8     ideology -2.3373070  -2.3415567 -2.6098938 -1.881150575       4
-#> 9  (Intercept) -0.1495733  -0.1006644 -0.8479257  0.244119622       6
-#> 10  inequality -2.2764331  -2.4231700 -2.6857205 -0.912810232       6
-#> 11      income  0.2495686   0.2128931 -0.2357286  0.930641607       6
-#> 12    ideology -2.4631179  -2.3664796 -3.5038423 -2.053526800       6
-#> 13 (Intercept)  1.5639364   1.3737555  0.8902776  3.201790814       7
-#> 14  inequality  1.0824862   1.1268703  0.3697653  1.556852243       7
-#> 15      income -1.9043067  -1.9180961 -3.1397485 -0.339659631       7
-#> 16    ideology -1.8219555  -1.8295541 -2.3864767 -1.301599260       7
-#> 17 (Intercept) -0.3492777  -0.2368883 -1.6480603  0.052455567       8
-#> 18  inequality  0.8690288   0.9025359  0.3899188  1.151068730       8
-#> 19      income -0.2230016  -0.2288693 -0.6186030  0.051196600       8
-#> 20    ideology -1.6768671  -1.8276805 -2.2241845 -0.001043684       8
-#> 21 (Intercept) -0.5236535  -0.5162855 -1.6781679  0.352866511       9
-#> 22  inequality  0.2863078   0.5151032 -1.8217861  1.240399405       9
-#> 23      income -0.1754565  -0.0660489 -1.4071954  0.977147222       9
-#> 24    ideology -2.5897118  -2.4460167 -3.5903491 -1.641755515       9
-#> 25 (Intercept)  1.1040340   1.3959161 -4.8030769  4.915629556      10
-#> 26  inequality -1.6883346  -2.1510346 -6.2685254  4.878065344      10
-#> 27      income -0.3298004  -0.1037712 -7.8493782  3.596276474      10
-#> 28    ideology -1.2344563  -1.4435882 -6.0020544  4.321253399      10
+#>                Post.Mean Post.Median  HPD.lower  HPD.upper Cluster
+#> 1 (Intercept) -0.3332670  -0.2375420 -1.2300398  0.1010372       5
+#> 2  inequality -0.9952596  -1.2094112 -1.3972550  0.8999371       5
+#> 3      income -0.8110271  -0.6635803 -1.8099203 -0.4055808       5
+#> 4    ideology -2.3403821  -2.3317696 -2.8667931 -2.0694808       5
+#> 5 (Intercept)  1.2439450   1.1895780  0.8763158  2.0797700       8
+#> 6  inequality  0.8837189   0.9020004  0.4189504  1.1298293       8
+#> 7      income  0.9167082   0.9062979  0.7038610  1.1823324       8
+#> 8    ideology -1.6807154  -1.6481445 -2.2645260 -1.2892940       8
 #> 
 #> --------------------------------
 #> Context-level coefficients:
-#>                Description   Post.Mean HPD.lower HPD.upper
-#> 1     Intercept of beta[0] -0.89116782 -3.738900  1.014190
-#> 2     Intercept of beta[1] -0.04422762 -3.386908  2.312727
-#> 3     Intercept of beta[2] -0.27283941 -3.895699  2.922150
-#> 4     Intercept of beta[3] -1.36146719 -4.077107  1.787112
-#> 5 Effect of gap on beta[0] -0.43612976 -2.538018  1.701550
-#> 6 Effect of gap on beta[1]  0.35448946 -1.709326  3.250508
-#> 7 Effect of gap on beta[2] -0.55377612 -3.046532  1.279999
-#> 8 Effect of gap on beta[3]  0.51181063 -1.655892  2.477581
+#>                Description    Post.Mean HPD.lower HPD.upper
+#> 1     Intercept of beta[0] -0.711431821 -3.212432  2.236799
+#> 2     Intercept of beta[1] -0.214301686 -2.339976  3.165643
+#> 3     Intercept of beta[2] -0.105059321 -2.983060  2.039523
+#> 4     Intercept of beta[3] -1.188760896 -3.757565  1.277457
+#> 5 Effect of gap on beta[0] -0.001364097 -1.936352  2.560545
+#> 6 Effect of gap on beta[1]  0.607483773 -1.305599  2.242967
+#> 7 Effect of gap on beta[2] -0.931682076 -3.097443  1.350784
+#> 8 Effect of gap on beta[3]  0.515862538 -1.191230  2.198659
 #> 
 #> --------------------------------

The summary contains more information now. As before, the column k indicates the estimated clusters. The column j indicates the country (context) of the estimated value for the respective cluster’s coefficient. The second summary ($tau) shows the marginal effect of the context-level feature (gap). Details of the interpretation can be found in Ferrari (2020).

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