slfm: Sparse Latent Factor Model

Description Usage Arguments Value References Examples

View source: R/slfm.r

Description

This function is used to fit a Bayesian sparse latent factor model.

Usage

1
2
3
slfm(x, a = 2.1, b = 1.1, gamma_a = 1, gamma_b = 1, omega_0 = 0.01,
  omega_1 = 10, sample = 1000, burnin = round(0.25 * sample), lag = 1,
  degenerate = FALSE)

Arguments

x

matrix with the pre-processed data

a

prior shape parameter for Gamma distribution

b

prior scale parameter for Gamma distribution

gamma_a

prior parameter for Beta distribution

gamma_b

prior parameter for Beta distribution

omega_0

prior variance of the spike component

omega_1

prior variance of the slab component

sample

sample size after burn-in

burnin

burn-in size

lag

lag for MCMC

degenerate

use the degenerate version of mixture

Value

x: data matrix

q_star: matrix of MCMC chains for q_star parameter

alpha: summary table of MCMC chains for alpha parameter

lambda: summary table of MCMC chains for lambda parameter

sigma: summary table of MCMC chains for sigma parameter

classification: classification of each alpha ('present', 'marginal', 'absent')

References

1. Duarte, J. D. N. and Mayrink, V. D. (2015). Factor analysis with mixture modeling to evaluate coherent patterns in microarray data. In Interdisciplinary Bayesian Statistics, volume 118 of Springer Proceedings in Mathematics & Statistics, pages 185-195. Springer International Publishing.

Examples

1
2
mat <- matrix(rnorm(2000), nrow = 20)
slfm(mat, sample = 1000)

Example output

$x
             [,1]        [,2]         [,3]        [,4]        [,5]        [,6]
 [1,] -0.17686053  0.93695937 -2.255238458  2.48469365 -1.13983890  0.74956544
 [2,] -0.23789286  0.05530539  0.841696704  0.74737829  1.96746136 -1.45171552
 [3,]  1.35802324  0.05434588 -0.211324786 -0.49131979 -1.34802437 -0.87169751
 [4,]  1.85075323 -0.48443052  0.005245915  0.12850398 -0.18580113 -0.15388767
 [5,]  0.23431660  1.16935988  1.053245232  0.41756870 -1.23227622  1.20217519
 [6,] -0.74598565 -0.67406754  0.496122860  0.76776293 -0.83343427  0.55444279
 [7,] -0.39723936 -1.12607019  0.650936817  0.01404484 -0.90187754  0.68907940
 [8,]  1.38176952 -0.54106354  1.677883412  0.82960893 -0.41154867  0.67692580
 [9,]  0.01745382 -0.67477743  0.238303065 -0.09513240 -1.41636300 -1.70791058
[10,]  0.56520287 -0.54317931  0.290643369  0.31365845 -1.71862873 -0.60793990
[11,] -1.06882748  0.40106218 -1.486173471 -1.39337010 -1.24076989  1.26077751
[12,]  0.15133131  1.77173681 -0.563641698 -0.94925021 -0.08376377 -1.09670717
[13,] -0.51559505  0.09277590 -1.609532244  0.23131052  0.10102473  0.41515191
[14,]  0.12470549 -1.96182838  1.097984274  0.18172711  2.56450521 -0.20160764
[15,] -1.30471815  0.14323024 -0.528685755  0.22245496  1.13981694  0.39588866
[16,]  0.93215098  0.93883709 -1.475183277  0.05348348  1.29001824  0.55111725
[17,] -1.47361050  0.01531888  0.431678832 -1.10818846 -0.71671681  1.79834340
[18,]  0.01346704  1.52532451 -0.591974783  0.96888712 -0.94835314 -0.16016631
[19,]  0.22683421 -0.86177681  1.559940137 -0.78673657 -0.77361117 -0.04157901
[20,]  0.06200986 -1.17176036  0.241477711 -1.38593607  0.81100472  1.24752819
            [,7]        [,8]        [,9]       [,10]       [,11]       [,12]
 [1,]  1.7594547 -0.24374720 -2.04914455 -0.29699900 -0.28432365 -0.93918826
 [2,] -0.4285886  0.45729785  0.60371372 -0.09583668 -0.25938478  1.05905799
 [3,] -0.5059327  0.94024614 -0.52016362  0.16629800  0.81059021  1.48559530
 [4,]  1.3898685  1.66539656 -0.65386370 -1.41717075  0.93625814  0.18008468
 [5,]  0.2761485 -0.09526661  0.48704114  1.49990607  1.26165637 -1.59232167
 [6,] -0.2112192 -0.60792929  1.73589459  1.28120707 -0.08198085 -0.45258968
 [7,]  0.6957719  1.77833197 -0.09215963  0.91060604  0.51812629  2.15617155
 [8,] -0.2588960 -0.68799587 -0.34750654  0.16834921 -0.59685802 -1.23676949
 [9,] -0.2662755  1.39828758 -0.33336091  0.83489924 -1.07445670 -1.51193212
[10,]  1.4405149  0.22551144  0.87895321 -1.34909461 -1.21223414 -0.03247404
[11,] -0.1448219 -1.22997384 -0.11815070 -1.14275312 -0.39022285 -0.50301564
[12,] -0.2035593  1.60658964 -0.18402149  1.76874192 -0.82848964  0.57534247
[13,] -0.6413422  0.36295879  0.42893798 -0.47890283  0.44120914  0.55703932
[14,] -0.4266177 -1.17508795 -1.28386562 -0.78622588  1.23975147 -1.30334235
[15,] -0.6094362 -0.07196575 -1.56927459 -0.09307487  0.50180323 -1.16815858
[16,]  0.7359178 -0.73152606  0.04477394 -0.93934985  0.02462608  0.04027322
[17,] -1.1673694 -1.14339387  1.03868437 -0.64184905  1.52355137 -0.81801364
[18,]  0.2128394  0.94907173  0.57148814 -0.15230678 -0.44241099 -1.11221405
[19,]  0.3959779 -0.49197902  0.96349428  1.84275871 -0.45729417 -1.33872592
[20,] -1.8527679  0.64776598  0.02990618  1.23286854 -0.01864227 -0.80124704
            [,13]       [,14]      [,15]       [,16]       [,17]      [,18]
 [1,]  0.17823779 -2.30559392  1.0229178  1.90715309 -0.23564230  0.2362195
 [2,] -0.27244907 -1.29910646 -1.1618032 -0.43735936  0.91148594  0.4921660
 [3,] -1.47463675  1.23262330 -0.8730597  0.00133213  0.11154526 -1.1484621
 [4,] -1.18158918  0.38683097 -1.1083072  0.08631731  0.09040837 -1.1185718
 [5,]  0.31574403  0.12662778 -0.5106932  1.18817873  0.65513014 -0.5967031
 [6,]  0.69543669 -0.34241404  0.8947921 -1.25413669  0.30072679  1.0177818
 [7,]  0.99698836 -0.29369146  0.7579924  0.34509166 -0.52126148 -1.4216213
 [8,] -0.16803806  0.57315743 -0.4043383  0.22310299 -0.05018123 -0.8173258
 [9,] -1.63296762  0.60050047  0.9603513  0.78347288 -0.82805028  0.4339098
[10,] -0.36122768  1.23027386  0.3816964 -0.51569059  0.56789406 -0.4568475
[11,] -0.96478790  0.99076836 -0.1307569  0.10007859 -1.63889222 -1.6283182
[12,] -0.51519210  0.32999545 -1.1261086 -0.47553543 -1.00248207 -0.9369001
[13,]  0.05234919  0.94008850  0.6134613 -2.04023119  1.25435579  1.7849884
[14,]  1.36621014 -0.48182487  0.3497262 -0.19878789 -0.86334555  0.6553137
[15,] -0.60769833  1.57782783  0.9010309 -0.38238349 -0.30336913  1.0833829
[16,]  0.15938080  2.57343296  0.5160976  1.17674607 -1.37730641 -0.7191263
[17,]  0.15654279 -0.92368421  0.6404774 -0.50971211 -0.13436245  0.8309450
[18,]  1.44317133  1.25757257  0.3078012  0.02460496 -0.52470064 -1.9963613
[19,] -0.53206119  1.39807767 -0.3843499  1.54910779 -0.33283085 -0.3032668
[20,] -0.68672687  0.09396845 -1.5854002 -0.39496790 -0.10594663 -0.9228190
            [,19]        [,20]       [,21]      [,22]       [,23]      [,24]
 [1,] -1.18259317 -0.621054204 -0.05279428 -1.1237339  1.60660796  1.4408563
 [2,] -1.71676094  0.532806083  0.59589911 -0.6362899 -0.24434925 -0.2968592
 [3,]  0.10099589  0.939638488 -0.11652683  0.2107801 -1.19154510 -0.3589240
 [4,]  0.69741603  0.613442269  0.64564865  0.9737674  0.22029042  0.4348740
 [5,]  1.04709187 -0.782015956  0.39894889 -0.6505933 -0.07080910 -0.6308246
 [6,]  2.01365251 -0.005004176  0.12584613 -2.4913242  0.47096554 -1.2060524
 [7,] -0.35285815  0.338410927 -1.03913298  0.6020209  0.02490072  0.4115415
 [8,] -0.55353065  0.781675728 -0.23145540 -0.4545058  0.15626416  0.9325218
 [9,] -1.01683137  0.820435808 -1.28657239  0.9195496 -1.08917884  2.0054101
[10,] -0.04502094 -0.513595578  1.07110519 -0.3179616 -0.29842559  1.7228896
[11,] -1.84593602 -0.006648798 -0.41660688  0.4045504  1.66579173 -0.8769452
[12,]  2.01721756 -0.960019408 -0.51160012  0.8379882  0.93389205  0.6604648
[13,]  0.29034040  0.892157197  3.74041427 -2.4179335 -0.67235976 -0.9055324
[14,]  0.18302206 -1.145783261  0.86554939 -0.2456842 -0.05884802  0.3158604
[15,] -0.05819521  1.398798646 -0.84944440 -0.4341574  1.08720111 -0.6271820
[16,] -0.43887881 -0.632693650 -1.29782343  0.6441253 -0.53593862 -1.0706331
[17,] -0.60133691 -0.412763484  0.40508102 -0.6030929  0.59012926  0.4542414
[18,] -0.39360373 -1.179567800  2.25712732 -0.2222768 -0.16643738 -1.7358550
[19,]  0.81488668  0.545471504  1.55403338  1.2655518  1.12834287 -0.6360409
[20,]  0.86526203  0.160745470  0.42762210  0.8796746 -1.65261732  0.8574576
           [,25]      [,26]       [,27]       [,28]       [,29]       [,30]
 [1,] -0.9854234  0.4297287  0.85251994  0.14604361 -0.95087155 -0.00610658
 [2,] -1.0382430 -1.4599429 -0.88873153 -0.46199048 -0.74565255 -0.61459085
 [3,]  0.5506763 -0.2451232  0.63202643 -1.39710364 -2.07844757 -1.26311805
 [4,]  0.6695331  0.9253730 -0.09470629  0.57186357 -0.03434128 -0.13872427
 [5,]  0.3431261 -0.5065882  2.93916265  0.74628060  2.34652025 -0.71285571
 [6,]  1.4649357 -2.1527935 -0.35125959  0.19021166 -0.21156445  0.06490222
 [7,]  0.3877596 -0.1798437  0.16173519 -0.14894326  1.76818828 -0.75900315
 [8,] -1.8234667  0.1475034 -0.58797276 -0.34255157  0.21434931 -0.29738137
 [9,]  1.1399280  1.5732744 -0.50673127  2.43009340  0.61448360 -1.81854632
[10,]  0.2171453 -0.3004074  0.03612810  1.26375814 -0.92687424  0.39131542
[11,] -0.5854203 -1.0611818 -0.20319804  0.91497374  1.31018002 -1.08617084
[12,]  0.9602184  2.2661578 -0.77713911  0.12345652  0.18804843  0.51043835
[13,] -0.3652540 -1.0863596  0.23570644  0.13111674 -1.53040933 -1.23797618
[14,]  1.2348873 -0.9885390 -1.54890799  1.87406652 -0.10872425  1.37961478
[15,]  1.9052525 -0.7894899 -0.25201522  0.05490814  0.50935430 -0.82167640
[16,]  0.1354591  0.2732423  0.19383020 -0.61157582  0.74381653 -0.45428757
[17,]  0.3659818  1.5547077  0.74698003 -2.32346588  0.83694018  2.01974656
[18,]  0.4649503  0.8025854 -0.20669220  1.18321472  0.42381454 -1.28532080
[19,]  0.4988610 -1.1701344  0.18864604 -0.41101489  0.65589353 -1.50242932
[20,] -0.9635622  0.5846136 -1.44411544  0.56382995 -1.14285147 -0.12275568
            [,31]       [,32]       [,33]       [,34]      [,35]      [,36]
 [1,] -2.07983390  0.10326692  1.96076556  1.09152113  0.3815777 -1.6058354
 [2,]  0.13204482 -0.09453569 -1.24364449  0.57729647  0.1777699  1.4013578
 [3,]  1.72006621  1.51305297  1.29451595 -1.07854800 -0.3179852  1.1355222
 [4,]  0.53518464 -1.22624621 -1.94868619  1.81340161  1.0289975 -1.5224254
 [5,]  1.40128126  0.08016265  0.06348767 -0.06914051 -0.9432508 -0.9795327
 [6,] -2.01495281  0.67797367  0.99752468  1.28310627  2.0587314 -1.2387535
 [7,] -0.35065632 -0.66664683  1.14854645 -0.20516059  0.5407088 -0.8507671
 [8,] -0.92381306  1.26756377 -0.05240920 -0.85418840 -1.1915001 -0.7254385
 [9,] -0.04924215  0.65517005 -1.78553975 -0.76775764 -2.2395041  0.8481244
[10,] -0.92373411  0.70458180  1.11751195  0.44180745 -0.2968004  1.3923643
[11,]  1.28899088 -0.70572338  0.89535432  0.57383710 -0.2178479  1.6294634
[12,] -0.05762850 -0.46060759 -0.53081439  0.63234518  0.5782868  0.4429642
[13,]  0.62914594 -1.86359851  1.18194088  0.05975624  0.6365966 -0.7461096
[14,]  1.32465139 -0.58489339 -0.04233946 -2.20235496  0.9429791 -3.2297954
[15,]  0.70916695 -0.74589982 -1.06543164  0.30612391  1.7869309  0.9467565
[16,]  1.13954300  0.74321512  1.67537447  1.32755085 -1.5865826  0.7957440
[17,] -0.79454583  0.96533629 -0.48747100  0.73836046  1.0276135  0.6144236
[18,]  0.37478237 -0.18880694  0.27721864  0.29832605  0.4332562  1.8860089
[19,] -0.02094518 -1.06583257  1.04387923 -0.48182090 -1.7922008  0.1259258
[20,] -1.19413747  1.07906301  0.03642239  2.72620302 -0.6397494  0.8176676
           [,37]      [,38]       [,39]       [,40]       [,41]       [,42]
 [1,] -0.3407162  1.0397872 -1.00323968  0.38034156  0.19056719  1.52231288
 [2,]  0.2279312 -1.2241928  0.26760526 -0.62381487  1.12800522 -1.83950058
 [3,]  0.4613780 -0.1046994  0.03927063  0.02119782  0.24424015 -0.24103072
 [4,] -0.3215877  1.5010004  0.48196624 -0.42237766 -0.69736079  1.03736491
 [5,]  1.2992202 -0.3527700  0.33439517 -0.39628471 -0.22219839 -1.04849649
 [6,]  0.5543480  0.1174265 -1.13571667  0.67787795 -0.37885335 -0.08926911
 [7,]  0.8368332  0.6187948 -0.18684555  0.37343851  1.55101008  0.82441793
 [8,] -0.2777105 -1.1385403  0.70702690  1.04396919  0.37104160  1.00136127
 [9,]  1.6332037  0.8246757  0.22653973  0.98507902 -1.41436165 -1.49997942
[10,]  0.6414902 -1.4313005 -0.83941143  1.47955766  0.69170952 -0.57061989
[11,] -0.3560903  0.2873695 -0.47207535  0.79251042 -1.42385520  0.42589712
[12,] -0.6414111 -0.4295088  0.29897368 -1.00237588  1.57427470  0.27489869
[13,]  1.0706148  0.5417290 -2.11419599 -0.86273706  0.45595972  0.12931741
[14,]  0.2957653 -1.4010277  1.72656586  0.90691669 -0.80342000  0.07194367
[15,]  0.1122668 -0.3759662  0.04892872  0.87611322 -1.35549818  0.20248182
[16,]  0.2903425 -1.5267298 -0.20204904 -0.71735359 -2.93810163 -0.10114095
[17,]  0.4495890  0.6416818  1.10513592 -0.65070647 -1.69349963 -1.15531391
[18,]  0.1300433  1.4899680 -0.40918897 -1.48051513  0.07073595  0.65868037
[19,] -0.1549154 -2.2085623  1.57052610  0.90649638 -0.15188364 -0.59443969
[20,]  0.5650982 -1.5487114  1.40573552 -1.66581660 -0.23840975 -2.40907682
            [,43]        [,44]       [,45]      [,46]      [,47]       [,48]
 [1,] -0.20808753 -1.987802828  0.26242317  1.0978013  1.7569928 -0.61988762
 [2,]  0.59185762  0.265748871  0.19542043  0.3436690 -1.4803687  0.75422767
 [3,]  0.93810118  0.412245158 -0.80823196 -1.0670800  0.5761233  0.32699278
 [4,] -0.24739684 -1.264012786 -0.68835562 -1.0980732  1.0538297 -0.54781047
 [5,] -0.24050816  0.189484961  0.24097211 -0.5841184  2.5237330  0.07834138
 [6,] -0.58119598  0.795781233  1.57968300 -1.1389012  0.7229548  0.36975352
 [7,]  0.53836361  1.119209786  0.03686108 -0.9061079  2.1681910  0.21890885
 [8,]  1.85426252 -0.234021988 -0.28460042  0.5467390  1.0560070  0.60249135
 [9,] -2.15674404  0.945532170  0.54715956 -0.1004824 -1.2797906 -0.65335344
[10,]  0.08968811 -1.082529238  0.08941378  1.1662184 -0.5121864 -1.23413808
[11,] -0.21187931 -0.022519796 -1.06193822 -0.4386328 -1.0252129  1.86219578
[12,] -0.96955113  1.618401652 -0.43756982 -1.3016634  2.8940780  0.73525612
[13,] -0.17783906  1.056532824  1.32539591  1.7332852 -0.6180218 -2.31318413
[14,] -1.57609667  0.007613121 -0.52829458  1.2974745 -0.3539906 -0.22003911
[15,]  0.24883377  0.187089716  0.21551460  1.1802109  0.1269723 -0.37112004
[16,]  0.78606733 -0.005085513 -0.23163592 -1.0061471 -0.5852969  1.06941739
[17,]  0.19395461 -0.374486020  0.46367061  0.5517833 -1.3785414  0.28145706
[18,]  1.05579826  0.266446600  0.82938988  1.1830730  2.2644813 -1.83835225
[19,]  0.04035915  1.279181959 -1.11766040  1.1764017 -1.8504264  0.73883584
[20,]  0.56476827 -0.118500811 -0.14211970  0.1977087  1.3716590  0.51211114
            [,49]      [,50]       [,51]        [,52]       [,53]       [,54]
 [1,]  0.42274566  0.4667788  0.53588374 -0.456230536 -0.85800173 -2.02292713
 [2,] -0.72358667 -0.7371206 -1.28859937  1.523789147 -0.82545105  0.26265420
 [3,]  0.31095880  0.1826088 -1.43208538 -1.407399912 -0.24009043 -0.42239174
 [4,] -2.05637945  0.1978236 -1.01043340  0.418203708 -0.86808691 -0.24100442
 [5,]  0.65013254 -0.1416371  0.07629571 -0.771126081  0.24981579  0.48518589
 [6,]  1.32623278 -0.2752312  0.39134812 -1.652601620  0.53802587  0.90015533
 [7,] -0.64317727  2.2904163 -0.63352553 -0.006344122  0.31477015  0.41403102
 [8,] -0.08216951 -0.4641216  0.98087313  1.533892897 -0.53203632 -0.46239378
 [9,]  1.32455847  0.6350136 -1.83871970  1.175705990  2.28664537 -0.06091445
[10,]  0.26009399 -0.9490535  0.67152088 -0.312231504  0.18732567 -0.18096412
[11,]  0.69645407  1.2585066 -0.34836398 -0.117540945  0.40803074 -0.73550933
[12,] -1.55805607  0.8140823  0.00180213 -0.049022117  0.97445246 -0.70687853
[13,] -0.22516595  0.6072213 -0.60760959  1.346755534  0.07090426  1.27029061
[14,]  0.12185178 -0.6356180 -0.05250058 -1.191760526  0.45137530 -0.16732522
[15,]  1.24562840  1.7395834 -0.58901170  0.497409156  0.23044618 -0.64324472
[16,] -0.61482116 -2.5024324 -1.64459130  0.433140749  1.04791633 -0.42652202
[17,]  0.37537964  0.6114205  0.68608046  0.604690956  0.83300665  1.29793364
[18,] -0.51442454  1.3604063 -1.24765818  0.209290152 -0.36316666  0.17779318
[19,] -0.73426912  0.3484756  0.11391642 -0.274353525  0.37435566 -1.09150149
[20,] -0.13909472  0.7166331  0.56175144  2.115276373  0.51076540 -0.28629388
            [,55]        [,56]       [,57]        [,58]      [,59]       [,60]
 [1,] -0.66113326  0.974638236 -0.83237856 -0.853589784  0.7935187 -1.52231950
 [2,]  0.64929259 -1.197908938 -1.20483144  1.495265695  0.4940010  0.67796614
 [3,]  0.21136974  1.377912161 -0.49880553 -0.554584007  1.4252172 -0.87974122
 [4,]  1.31790444 -0.287712843  0.15822400  0.074486457  0.8024142  0.28419981
 [5,]  0.62618195 -0.564718543  0.88876344  0.080349063  0.3215379  1.12714374
 [6,] -0.53616064  0.434624226 -0.66279848  0.695186363 -0.1660878  0.32476283
 [7,]  0.52032995  1.991104256 -0.60470427 -0.841200603 -0.1207076  0.41094817
 [8,]  0.89620967 -1.213137123 -1.12954013 -0.140302800  1.8057184 -1.28961191
 [9,]  0.17726854 -0.008880619 -0.75729719  1.687963884  1.1584903 -0.15528417
[10,] -1.48451128 -0.129253726 -0.02457336 -1.470690911  0.4470946 -0.10367933
[11,]  0.19779024 -1.304996007 -2.13270371  1.311507402 -0.9807255 -0.06932814
[12,]  0.09429829 -0.799769781  0.78117767 -0.534161031  1.4918344  0.06386272
[13,]  1.32683054  0.768915592 -2.65389913  0.301536913  1.3341293  1.89289537
[14,] -0.63277374 -0.076352663  0.77575986 -0.779454970  0.4031828 -0.35378048
[15,]  0.07666098 -0.931521197 -1.09828756 -0.301470983  1.3331225  1.74260103
[16,]  0.45333001 -0.380923585  0.72910409 -0.009482396  0.9699338 -1.38004252
[17,] -0.94251424  0.810679243  0.47068420  1.862026549 -1.2905281  1.15051361
[18,]  0.95651336 -1.152472600 -0.60819724  0.678287150 -0.1729044 -0.94468948
[19,] -0.04097060 -0.115810196 -0.56104924  1.684758184 -0.4738682  0.43214342
[20,]  1.30147296 -0.600067206  0.13319337  0.221405065  0.4458933  0.39333891
            [,61]        [,62]       [,63]       [,64]      [,65]       [,66]
 [1,] -1.40738507 -0.088793999 -0.51161274 -0.82550390 -0.8390967 -1.10807786
 [2,]  0.52246909  1.212214777 -0.40087630  0.87689442  0.7356534 -0.85349451
 [3,] -1.31020714 -0.123690351 -1.34300549  0.54692386 -1.1637813  1.84956203
 [4,]  0.94962301  0.006822271 -1.21144580 -0.55141743  0.3302500 -0.02294523
 [5,] -0.39078127 -1.866193172  0.05913148 -1.31930141  0.7128040  0.81246530
 [6,] -0.75749224 -0.058653962 -1.07576593  1.30662037  0.2733541 -0.37195099
 [7,] -0.60971421 -0.290807542 -0.89572686  0.51379134  2.1406570 -0.01244254
 [8,] -0.76157200 -1.611081828  0.60021753 -2.35338307 -0.3627112  0.56254911
 [9,] -1.46691809  0.906572794  0.13027116 -0.15037665 -1.1338930  0.16406526
[10,]  1.76157234 -0.456480839  0.31891016 -0.22409275  0.6984839  0.47920337
[11,]  0.10149579 -1.115116742  0.23408474 -0.45412902 -1.1584434 -0.06574624
[12,] -0.49557892 -0.113326981  0.11890878 -1.69542768 -0.6154593 -0.22063696
[13,] -1.47575705  1.147353598  0.66151697 -1.11903403  1.7058764  0.44891060
[14,]  0.14612391 -0.056946841 -0.32893904  1.85616258 -0.4182288 -1.21286929
[15,] -1.11666552 -0.055112740  0.29025628 -2.09256421  0.1956395  1.01538549
[16,]  0.98282495 -0.074442118  0.40495821 -0.92857724  1.8393882  0.25295516
[17,] -2.27180470 -1.251531949 -0.03425617  1.10490971 -0.5524330 -1.03531259
[18,]  0.93375830  0.522953667  1.66483585 -0.15208916 -1.9890694  0.13333944
[19,]  0.94643812 -0.253107239  0.58170470  0.08952604  0.4661510 -0.94331128
[20,] -0.02576472  0.439883577  0.31472958  0.84629504  1.1033618  0.90150322
            [,67]       [,68]       [,69]        [,70]      [,71]       [,72]
 [1,] -1.30388420 -0.78051674 -0.23974873 -0.927433741  0.3145212 -1.24949987
 [2,] -1.61720428 -1.08937431  0.86670431 -1.377687470  0.8985865  0.46555743
 [3,]  1.24992379 -1.34510866  1.74512322 -1.193801260  0.3316252  1.45009174
 [4,] -0.44954583  1.10881408 -0.20112129 -1.197639206 -0.9562168  0.16977983
 [5,]  0.38999966 -0.05751911 -0.12125151  0.066529035  0.8858695 -0.32727893
 [6,]  0.04468638 -0.72477794  0.04011801 -1.173921349 -0.9420539 -0.05377714
 [7,]  0.45002364 -0.95361241 -1.07833661 -0.302026227 -0.3786158  0.33273088
 [8,] -2.03539127  0.56329771 -1.31887469 -0.447273593  0.5614623  0.18195334
 [9,]  1.61839956  0.58847964 -0.96083513  0.004102917 -1.6069384  0.28345328
[10,]  1.66100248  0.51985369  0.98995938 -0.802551739 -0.4994065 -0.33150909
[11,]  1.17669929 -0.94181088  1.28470978 -0.852537428  0.2094795 -1.10272181
[12,]  1.00692147 -0.76654040 -0.41936897 -0.189942619  0.1130273  1.50264924
[13,]  1.19995392 -0.89500158 -1.40328759  1.679385047 -1.5422916  0.89446948
[14,]  0.34381174  0.50040135 -0.25871172 -1.635441630 -0.3541995  1.86660972
[15,]  0.04545219 -0.10585231 -0.01949419  0.544934207  0.5109456  0.46905602
[16,] -0.96164255 -0.55514011  0.19424039 -0.905770731 -1.7757361 -1.25677281
[17,] -0.37793041  0.25940150 -0.84339091  1.036723483  0.5692623  0.69503447
[18,] -0.55971895 -0.58655511  1.02105634 -0.079484115  0.3444594 -0.42488203
[19,] -1.13324872 -1.82961565  2.27130810  0.042493340  0.2320663 -0.29999288
[20,] -1.02238896  1.44212444  1.62661928 -1.280749545 -2.0740178  1.19009573
            [,73]       [,74]        [,75]       [,76]       [,77]      [,78]
 [1,]  0.94755617 -0.30650294 -1.111552905  1.40333490  1.15953470  0.9616505
 [2,]  0.79206370  0.97241821 -0.001376113 -1.18067321 -0.85600331  0.3979575
 [3,]  0.81567072 -0.21303327  1.708170056 -0.28202975 -1.24359064  0.7964714
 [4,]  0.84727092  0.86391863 -0.265281556  0.31350818  0.22381897 -0.5625339
 [5,] -0.09784660  0.21871066  0.902875721 -0.04300278 -1.15038067 -1.5170817
 [6,] -2.18660199  0.92616125 -0.958111432 -0.55911329 -0.31016156 -1.7892741
 [7,]  0.46126320 -3.06406376  0.922914562 -1.33848419 -1.07542106 -0.2996098
 [8,] -0.10866127 -0.78828538 -0.063611026  0.54507070 -0.20604621  1.3511269
 [9,]  0.38185055 -0.80838960 -0.319343240 -0.17616622  0.01130631  1.3962613
[10,] -0.38940964 -0.32521239  1.260463413 -0.19648215  2.47535253 -1.5395698
[11,] -0.36644849 -1.77436013 -0.497440155 -0.98874576 -0.71380499  1.3282150
[12,] -0.28187573  0.06883020  0.785420667  0.03723923  0.90430391 -1.3519372
[13,]  0.55417591  0.06094163 -1.039846770 -0.63895325 -0.19833096  2.0145131
[14,] -0.18243176 -1.04638641 -0.389697400 -0.73062944 -0.26997158 -1.0475155
[15,] -0.05671071  1.48663886 -0.004637338 -0.07326594 -0.08762776 -0.2237655
[16,] -1.29129462  0.24090919 -0.946690215 -0.95421011 -1.31193954 -1.1391313
[17,]  0.01090792 -0.16894407 -1.116558975  1.13109722  0.90811049 -0.4321598
[18,]  0.36932480  0.02569365 -0.570840029  0.34082979 -0.54825687 -0.6472348
[19,] -1.47307594  2.10405499 -0.640966272  0.64469912  0.87566117 -1.5604353
[20,] -1.28141589  0.25212513 -0.277419291 -0.46135412 -0.19455654 -0.2621375
            [,79]       [,80]       [,81]      [,82]       [,83]      [,84]
 [1,] -0.92502457 -0.35381866 -1.47866654 -1.1286315 -1.05756229  1.2907465
 [2,] -0.58455352  1.19593447 -0.09654523  0.6486489 -0.14890084  0.3163526
 [3,] -0.84436061  0.10603864  1.02409599  0.7845166  0.57698944 -0.9087968
 [4,]  0.65313847  0.80499697 -0.74374659 -0.6988804  0.39613013 -0.4078594
 [5,] -1.95700241 -0.57067882  2.15111615  0.5074065  0.33192593 -0.8532057
 [6,]  0.19326316  1.74540839  0.85515960  1.5871196  2.44230844  1.5342974
 [7,] -0.33758089 -0.47104301  1.33332062  0.5959578  0.05916992  0.5642361
 [8,] -0.14276676  0.26350917  1.50200415  0.3474621 -1.11797565  1.1355364
 [9,]  1.22041209  1.98013927 -1.01227557 -0.1042975 -0.78316788  0.9396823
[10,]  1.05686197 -3.05523644 -0.11858323  0.2446218 -3.07728607 -0.9088765
[11,] -0.08773968  1.21171376  0.79783505 -1.6594280 -0.18682032 -0.2265136
[12,] -0.87663860  0.02635646 -2.10691510  0.9123405 -0.74749283 -0.2527305
[13,] -1.20422194 -0.61480162  2.00315823  1.1730711 -1.14680696  0.7572393
[14,] -0.51829470 -0.14534934  2.06156116  2.3706187  1.07004842  0.4185668
[15,]  0.96069377 -0.25784840  0.82797290  0.1981548  0.33433765  0.2826713
[16,] -2.06869713 -0.05503662  0.28185270  2.1782913  0.19772313  1.4157745
[17,] -0.28050378  1.79838813  0.45423225  0.7439586  0.54553646 -0.1644599
[18,]  0.20002643 -1.46781061  2.30243772  0.7149506  0.61499166 -0.3535936
[19,]  0.33076956  0.64207143 -2.33440693 -0.3542788  1.64056791 -0.2968887
[20,]  1.96841483 -0.44542458  1.44774490  1.1200251  0.32235894  1.4784149
            [,85]      [,86]       [,87]       [,88]       [,89]       [,90]
 [1,] -0.68089818 -0.7477551 -0.99740811 -2.36326295 -1.57710556  0.88822517
 [2,]  1.44624949  1.1488935 -0.73618434 -1.35318528 -0.27363716 -1.29671714
 [3,]  0.34123723  0.9008821 -0.20603962  1.54025408 -0.97917139 -0.40373352
 [4,] -1.01280401 -1.2851669 -0.89775628 -1.78520058  0.76410624 -0.48251874
 [5,]  0.21879460 -1.5769974  0.03239608 -0.30834798 -0.86609831  0.35290427
 [6,] -0.50147759  1.3618294 -0.15419592  0.26633395 -0.03316367 -0.28593512
 [7,]  1.32790049  0.3496326 -0.29314409  0.87735057  0.80703291  0.70109585
 [8,] -0.63067529 -0.2275877  0.28222564 -0.05994688 -1.07355114  0.19379836
 [9,] -0.49591057  0.2619573 -1.52526998 -0.36852933 -0.53572777  0.40659864
[10,]  1.04521698 -0.3810676 -1.41654551  0.02501358  0.82172135  0.12394935
[11,]  0.54458147  2.6261924 -0.86261864 -1.24986667  1.31183190  0.72973838
[12,]  1.95570784 -0.5231161 -0.83818072 -0.22697858 -0.71617328 -0.22147287
[13,] -0.90164018 -0.3246577  1.00587480 -0.94134012 -1.89266276 -0.74597828
[14,] -0.06807803  1.2897329 -0.36836267  0.42900659  2.21884367  0.16249490
[15,]  0.15886130  0.2764520  1.58216778  0.54769816 -0.42109128 -0.70101236
[16,]  0.10866517 -0.6902012 -0.08564541 -1.71429534  0.29832674  0.53452780
[17,]  1.98971014 -2.6221592  0.52778506 -1.49642475 -0.08979224  1.34954348
[18,]  1.36515498 -1.1314525 -0.48650413  1.16374287  1.73588218 -0.99743206
[19,]  0.86654599 -1.7987951  0.62859891 -0.97887687 -0.44989905  1.40240539
[20,]  0.22372757 -0.5085482 -2.78863817 -0.87752310 -0.59972710 -0.02263028
            [,91]       [,92]       [,93]        [,94]       [,95]       [,96]
 [1,] -0.72560515  0.66816474 -0.26703463  0.686326384 -0.47942397 -0.39704475
 [2,] -0.50853803  1.00638202 -0.60970866 -0.222448386 -0.83458485  1.91966719
 [3,] -0.75909311 -0.33955682 -2.17311759  1.924543617  1.01485549  1.32144365
 [4,] -0.14631334  0.55202136 -1.45990643 -0.887507569 -0.45016873 -0.82827121
 [5,]  0.41273430 -1.23542356  0.04069398  1.291167797 -0.29882199 -0.63111673
 [6,] -0.24393841  0.71869724  0.89971709 -0.487522056  1.01769351 -0.63400158
 [7,] -0.96318408 -1.91635527 -0.37376472  0.158755185  0.47406688 -0.02081498
 [8,]  0.76834722  1.32717914  0.71985245 -1.406645076 -1.23283127  0.32031418
 [9,] -0.70298432 -1.12113339 -1.42111379  0.286357071  0.98670542 -1.48921765
[10,]  1.64770879 -0.79739478 -0.36738279  0.282239831 -0.59800015 -0.02535767
[11,] -0.62088956 -0.58512021 -0.44168154  0.817296388 -1.43527653 -0.01946604
[12,] -0.02775110  0.91874952  0.83842941  1.751543862  1.08615910  0.08587094
[13,] -0.06847162 -0.83142063  0.06206253  0.495993963 -0.76643598  1.16722755
[14,]  0.23939111  0.03024561 -0.16969721  0.641007646 -0.67873212  0.68467367
[15,] -1.26530796 -0.20626136  0.82415185  0.027923476 -0.26697424 -0.91971906
[16,]  0.81619596  1.32509837  0.99699251 -1.051436999  0.08867232 -1.42467033
[17,]  0.26989621  0.58898139 -0.99905183  0.782801810  1.64756500  1.62496225
[18,]  0.58049902 -0.49375741  1.53398745  0.362664743 -0.40111884 -0.38451737
[19,] -1.48572622  1.54124750 -0.91740233 -1.218865138 -0.95678476 -0.60975978
[20,] -1.83609747  0.90627895 -0.54519569 -0.005611719 -0.38665716 -1.43138018
            [,97]       [,98]      [,99]      [,100]
 [1,] -0.46845976  0.08180511 -0.8268627  0.99580751
 [2,] -1.17879672 -1.07895952 -0.2696527 -0.11875941
 [3,] -0.11644175  0.58568290 -0.3582974 -1.02329847
 [4,] -0.43944821 -1.12744876 -1.1247561 -0.14083604
 [5,] -0.05616631  0.88292614 -0.2136687  0.10093044
 [6,] -0.94438626  0.16448052 -0.2186117 -1.87883333
 [7,]  0.15658287  1.16072178 -0.6946433 -0.11532154
 [8,]  1.32010851  1.48795620  0.5638907 -0.51746130
 [9,]  1.08217307  0.07629549  0.4700818 -0.57363567
[10,]  0.87440314  0.39641628  1.9860280  0.24673732
[11,] -1.57836006  0.89778409  0.9152182 -0.55854031
[12,]  0.50469045  1.11629440  0.2714091  0.29662846
[13,] -1.06677238  0.43000411  0.8149797  1.28725336
[14,]  1.34656377 -0.51541216  0.4547846  0.39040088
[15,]  0.40798719  1.23076651 -0.4609064  0.09722304
[16,] -0.29079352  0.37823379  0.7836382 -0.11319170
[17,]  0.84983417  1.20327392 -0.4849698  0.98684331
[18,]  0.86646189 -0.10093648 -1.0593866  1.77550351
[19,]  0.28969865  1.43798150 -1.6788456 -0.64155171
[20,]  0.26591567 -1.15494432 -0.8946023 -0.69306675

$alpha
               Mean         SD    Naive SE  Upper HPD Lower HPD
 [1,] -0.0123718606 0.47889591 0.020723853 -0.7671875 0.8139879
 [2,]  0.0110625656 0.10508608 0.003453343 -0.1860201 0.2040395
 [3,] -0.0064939092 0.10054499 0.003311273 -0.1947168 0.1848980
 [4,] -0.0022491015 0.09974372 0.003297426 -0.1829923 0.2034285
 [5,] -0.0074867668 0.09455080 0.003087193 -0.1997953 0.1589956
 [6,] -0.0013785658 0.09349858 0.003082557 -0.1910184 0.1733743
 [7,] -0.0164559657 0.09937808 0.003297977 -0.2133345 0.1627439
 [8,]  0.0021112762 0.09851319 0.003216570 -0.1961125 0.1851472
 [9,]  0.0022100576 0.09165415 0.003016833 -0.1654973 0.1946030
[10,] -0.0009771794 0.09005658 0.002962644 -0.1720070 0.1636576
[11,]  0.0019971718 0.09613326 0.003142214 -0.1925962 0.1727184
[12,] -0.0028903853 0.09452706 0.003111396 -0.1984976 0.1642168
[13,]  0.0038623759 0.09550870 0.003147119 -0.1579524 0.2073199
[14,] -0.0074232864 0.10042504 0.003318137 -0.1904172 0.2041722
[15,] -0.0008055944 0.08656360 0.002814425 -0.1603016 0.1719730
[16,]  0.0080632321 0.09394936 0.003092381 -0.1695441 0.1808677
[17,] -0.0056269068 0.08905843 0.002894010 -0.1807141 0.1543306
[18,] -0.0068090469 0.08972178 0.002909428 -0.1865825 0.1572442
[19,]  0.0075336359 0.09836237 0.003257104 -0.1826158 0.1962859
[20,]  0.0105300486 0.09753814 0.003222751 -0.1631144 0.2043224

$lambda
                Mean        SD   Naive SE Upper HPD Lower HPD
var1    0.0424892334 0.9677275 0.03060223 -1.869446  1.927218
var2   -0.0580844639 1.0280016 0.03250826 -2.057682  1.889747
var3   -0.0480252823 1.2190428 0.03854952 -2.414710  2.154024
var4   -0.0811581154 1.2153481 0.03843268 -2.327946  2.187234
var5    0.0640683765 1.1231554 0.03551729 -2.295116  1.955465
var6   -0.0371896066 0.9613175 0.03039953 -1.761468  2.008978
var7   -0.1045441318 1.1567311 0.03657905 -2.050850  2.291046
var8   -0.1017425897 0.9470848 0.02994945 -1.859291  1.754157
var9    0.0377568975 1.1679940 0.03693521 -2.258060  2.133619
var10   0.0512067645 0.9663328 0.03055813 -1.584454  2.149925
var11  -0.0761371945 0.9121665 0.02884524 -1.800584  1.656736
var12  -0.0611225710 1.0575367 0.03344225 -1.957835  2.121442
var13  -0.0488442276 0.9282283 0.02935316 -1.824250  1.741444
var14   0.0569337104 1.1509625 0.03639663 -2.094851  2.354176
var15  -0.0120097059 0.9841765 0.03112239 -1.981996  1.792228
var16  -0.0260849513 1.1355910 0.03591054 -1.927256  2.468917
var17   0.0489554734 0.8987052 0.02841955 -1.599767  1.866263
var18   0.0220797501 0.9646769 0.03050576 -1.768573  1.979575
var19  -0.0336214386 1.0475392 0.03312610 -2.121518  1.891715
var20   0.0878069528 0.9502758 0.03005036 -1.631935  2.024391
var21   0.0048855432 0.9826070 0.03107276 -1.906483  1.943930
var22   0.0095999576 1.0466433 0.03309777 -2.118024  1.980091
var23  -0.0316645808 1.1125225 0.03518105 -2.137209  2.146085
var24  -0.0243194424 1.0870084 0.03437422 -1.870895  2.275724
var25   0.0046031709 1.0129902 0.03203356 -1.835849  2.137624
var26  -0.0410095167 1.0390830 0.03285869 -2.166383  1.848408
var27  -0.0081945327 1.0088594 0.03190293 -1.853278  2.109819
var28   0.0178648063 0.8936487 0.02825965 -1.615281  1.929287
var29  -0.0634191948 1.0091410 0.03191184 -1.999271  1.814089
var30  -0.0096192048 0.9537318 0.03015965 -1.694076  1.964755
var31  -0.0241002952 1.1956601 0.03781009 -2.122201  2.406059
var32   0.0015757103 0.9197766 0.02908589 -1.798873  1.775000
var33  -0.0394367914 1.1844843 0.03745668 -2.464878  2.100319
var34   0.0464597753 1.0751196 0.03399827 -1.948351  2.248863
var35  -0.0567836070 0.9809491 0.03102033 -2.042904  1.710606
var36   0.0881322212 1.1134452 0.03521023 -2.324486  2.020072
var37  -0.0023733808 0.8912908 0.02818509 -1.940005  1.544842
var38  -0.0858301053 1.0483650 0.03315221 -2.012728  2.024161
var39   0.0240934768 1.0014407 0.03166833 -1.839988  1.999615
var40  -0.0108931730 0.9101722 0.02878217 -1.799629  1.757083
var41  -0.0261799870 0.9719147 0.03073464 -2.029270  1.703531
var42  -0.0811186131 1.1132447 0.03520389 -2.113088  2.056618
var43   0.0177830624 0.9034404 0.02856929 -1.667521  1.796373
var44   0.0307105050 1.1500435 0.03636757 -2.060246  2.352100
var45   0.0286928409 0.9232605 0.02919606 -1.649573  1.963521
var46   0.0174621154 0.9847704 0.03114118 -1.866713  1.891752
var47  -0.1355655663 1.4423171 0.04561007 -3.196187  2.296081
var48   0.0550927012 0.9708330 0.03070043 -1.710689  2.061433
var49   0.0151236652 0.9918527 0.03136514 -1.823798  2.150388
var50  -0.0563576794 1.0262955 0.03245431 -2.093796  1.910202
var51   0.0426935964 0.9555980 0.03021866 -1.710678  2.058631
var52   0.0669025802 0.9837856 0.03111003 -1.633974  2.162214
var53   0.0171822128 0.9355451 0.02958453 -1.860420  1.788821
var54   0.0135134640 1.2257685 0.03876220 -2.321525  2.273909
var55   0.0163283629 0.9169943 0.02899790 -1.675262  1.893605
var56  -0.0629118474 0.9343840 0.02954781 -1.745601  1.904288
var57   0.0252235199 1.0500195 0.03320453 -2.065567  2.182936
var58   0.0272178423 1.0031813 0.03172338 -1.969801  1.952986
var59   0.0216508450 1.0197826 0.03224836 -1.839023  2.003799
var60   0.0062974584 1.0898670 0.03446462 -2.075693  2.090096
var61   0.0501033214 1.0837887 0.03427241 -1.789932  2.345289
var62   0.0028623196 0.9479559 0.02997700 -2.104581  1.637291
var63   0.0073874201 0.9189811 0.02906074 -1.828071  1.738695
var64  -0.0209643454 1.1085066 0.03505406 -2.201541  2.090574
var65   0.0427433431 0.9787719 0.03095148 -1.919510  1.846532
var66  -0.0164354195 0.9841281 0.03112086 -2.178261  1.739086
var67  -0.0542023897 1.1063334 0.03498533 -2.220166  2.095604
var68   0.0090628565 0.9253800 0.02926309 -1.771340  1.866947
var69   0.0422480914 0.9758737 0.03085984 -1.712317  2.092881
var70   0.0442392617 1.0078426 0.03187078 -1.892434  1.963147
var71  -0.0498435106 0.9139714 0.02890231 -1.847843  1.647864
var72  -0.0512905037 1.0270826 0.03247920 -2.061755  1.948338
var73  -0.0648726234 0.9409224 0.02975458 -1.820584  1.652728
var74   0.1097465789 1.0246217 0.03240138 -1.907195  2.084453
var75  -0.0938557581 1.0851520 0.03431552 -2.386870  1.903980
var76  -0.0185529537 1.0296026 0.03255889 -1.881389  2.039933
var77  -0.0058350631 1.0284223 0.03252157 -1.955558  1.938344
var78   0.0266878139 1.0513941 0.03324800 -2.084201  2.010273
var79   0.0800311211 0.9868011 0.03120539 -1.799198  2.044049
var80  -0.0117318163 1.0284108 0.03252121 -1.860735  2.163109
var81  -0.0349374759 1.1444048 0.03618926 -2.251908  2.147217
var82  -0.0263525416 1.0320172 0.03263525 -1.861916  1.995574
var83   0.0324862183 1.0699456 0.03383465 -1.967126  2.217122
var84   0.0819954415 1.0542375 0.03333792 -1.741968  2.374817
var85  -0.0414610558 0.9425152 0.02980495 -1.829276  1.806802
var86   0.0139757984 1.0994102 0.03476640 -2.177737  1.940952
var87   0.0031456783 1.0327606 0.03265876 -2.071546  1.857053
var88  -0.0508646730 1.4010549 0.04430525 -2.682681  2.572909
var89  -0.0108841796 1.1068242 0.03500085 -2.388546  2.024481
var90  -0.0283991147 0.9291468 0.02938220 -1.716223  1.865639
var91  -0.0010388071 1.0023821 0.03169811 -2.078721  1.774288
var92   0.0239344608 1.0148325 0.03209182 -1.825278  2.174621
var93  -0.0008113585 0.9650419 0.03051730 -1.979476  1.781197
var94  -0.0792731721 1.0195552 0.03224116 -2.107647  1.738105
var95  -0.0318838457 0.9839399 0.03111491 -2.104841  1.713774
var96  -0.0521532636 0.9810617 0.03102390 -1.905535  1.948543
var97   0.0201495194 0.9085179 0.02872986 -1.780786  1.756930
var98  -0.0638446121 0.9458014 0.02990887 -1.947693  1.719886
var99   0.0172117637 0.9593379 0.03033693 -1.793895  1.917765
var100 -0.0127272788 0.9524881 0.03012032 -1.864817  1.776019

$sigma2
           Mean         SD    Naive SE Upper HPD Lower HPD
var1  1.0984705 0.26332709 0.008327134 0.5818277 1.6017081
var2  0.8196873 0.12362391 0.003909331 0.6092840 1.1010747
var3  0.9392865 0.13515926 0.004274111 0.6997448 1.1996656
var4  0.7492384 0.10553774 0.003337396 0.5657264 0.9635369
var5  0.8186119 0.11507512 0.003638995 0.6258698 1.0517639
var6  0.9863893 0.14580078 0.004610626 0.7314065 1.3063424
var7  0.8412339 0.12255712 0.003875597 0.6022002 1.0941254
var8  0.7958426 0.11600161 0.003668293 0.5713883 1.0217121
var9  1.1629010 0.16401152 0.005186500 0.8695918 1.4790031
var10 0.9397067 0.13430758 0.004247179 0.6953943 1.2051829
var11 0.9829934 0.14613358 0.004621149 0.7063199 1.2485515
var12 0.8825626 0.12526860 0.003961341 0.6679747 1.1499613
var13 1.3130836 0.18641809 0.005895058 0.9850171 1.6593026
var14 1.0551670 0.14910629 0.004715155 0.7694355 1.3366368
var15 0.6738742 0.09711313 0.003070987 0.4933129 0.8611620
var16 1.0308945 0.14848586 0.004695535 0.7555846 1.3315757
var17 1.0283521 0.14387043 0.004549582 0.7607309 1.2916530
var18 0.9460974 0.13295611 0.004204441 0.7041765 1.2044420
var19 1.0706016 0.14633869 0.004627636 0.8030595 1.3431351
var20 1.0697661 0.15572724 0.004924528 0.7979111 1.3883090

$alpha_matrix
Markov Chain Monte Carlo (MCMC) output:
Start = 1 
End = 1000 
Thinning interval = 1 
                 [,1]          [,2]          [,3]          [,4]          [,5]
   [1,]  0.1877058705 -2.548013e-02 -2.938043e-01  0.0695680939  1.408005e-02
   [2,]  0.2169137672 -3.149045e-02 -8.595243e-02  0.1371947046  2.687264e-02
   [3,]  0.1616178859 -8.079244e-02 -5.999578e-02  0.1180811943 -2.069221e-03
   [4,]  0.2025222695 -7.239730e-02 -1.594798e-01  0.1797654597  4.549653e-02
   [5,]  0.2053449605  7.988949e-03 -3.307439e-02 -0.0143733822  1.150042e-01
   [6,]  0.0264842235 -3.445609e-02 -1.762775e-01 -0.0986182373  1.205608e-01
   [7,]  0.0985332852 -2.231399e-01 -3.841747e-01 -0.0165910721  2.239804e-01
   [8,] -0.1282301492 -1.664331e-01 -1.145219e-01 -0.0165454795  1.850233e-01
   [9,] -0.1647279619 -1.673741e-02  7.892609e-02  0.0291672296  5.347489e-02
  [10,]  0.0744264768  1.296776e-01  7.991846e-02  0.0603593677 -6.421589e-02
  [11,] -0.1085061750  4.586272e-02  1.099331e-01  0.0771568825 -4.886324e-02
  [12,] -0.1858504229  1.423025e-01 -9.462491e-02  0.0278770106 -1.316707e-01
  [13,] -0.3394453805  4.150912e-02 -2.055317e-02  0.0286984479 -1.210949e-02
  [14,] -0.6179404375 -2.289856e-02  4.670603e-02 -0.1050902037 -1.328612e-01
  [15,] -0.8750840023  1.092571e-01  6.668929e-02 -0.0580284883 -1.981776e-02
  [16,] -0.8384513184  1.093373e-01 -2.322042e-02 -0.1176494881 -8.694749e-02
  [17,] -0.5789923720  1.455049e-01  1.364426e-01 -0.0820552168 -3.101298e-02
  [18,] -0.4100777718  1.368168e-01  2.754247e-01  0.1272445639 -1.020273e-02
  [19,]  0.3410281527 -6.287970e-02  1.950741e-02  0.0701546837  1.680872e-02
  [20,]  0.5692489168 -2.420106e-02  3.350307e-02 -0.0621527539 -4.228059e-02
  [21,]  0.3532344072 -4.370359e-02 -1.446574e-01 -0.0484021071 -1.584650e-04
  [22,]  0.1548723928 -1.550655e-01  3.239417e-02 -0.1002232339 -6.025197e-02
  [23,] -0.2647526982  8.867233e-02  4.908013e-02 -0.0165132093  4.558960e-02
  [24,] -0.2128090749  6.044808e-02  6.149741e-02 -0.0285952586  6.112389e-02
  [25,] -0.0720291170  1.272471e-02  2.453953e-01  0.0026160835 -1.245612e-01
  [26,]  0.1240523825 -1.559419e-01  1.763696e-02 -0.0742201796 -1.867042e-01
  [27,] -0.3837585317  2.586049e-02  1.027213e-01 -0.0756708084 -5.652300e-02
  [28,] -0.1348836000 -5.417151e-02  6.398954e-02 -0.0950354461  2.686200e-02
  [29,] -0.0764821106 -9.703866e-02  3.518415e-02 -0.1200514655 -7.652326e-02
  [30,]  0.1358137928 -1.293619e-01 -5.323418e-02 -0.1599596402 -2.658309e-02
  [31,] -0.0016038500 -1.624439e-01  1.435151e-02 -0.1582497591 -1.475611e-02
  [32,] -0.1162534477  3.427161e-03 -1.177216e-02 -0.1133499839 -8.601648e-03
  [33,] -0.3516864060  1.043277e-01 -6.237051e-03 -0.0555865456  3.300687e-02
  [34,] -0.3800600944 -2.310048e-02  4.216180e-02  0.0197982804 -1.573375e-01
  [35,] -0.0867069260  6.743349e-02  2.595907e-01 -0.0777923411  2.649060e-02
  [36,]  0.1660437189  4.187581e-02 -5.638962e-03 -0.0991395568 -2.134500e-02
  [37,] -0.1414535270  1.391367e-02  2.132420e-01 -0.0151263454 -5.707060e-02
  [38,] -0.1278263398  3.080760e-03  1.001706e-01  0.0811486169  4.778106e-03
  [39,]  0.1509072551 -9.115668e-02  4.995951e-02 -0.0533900979  1.610632e-02
  [40,] -0.0889094951 -1.842687e-01 -2.882873e-02 -0.0741621712 -9.807542e-03
  [41,] -0.2638448176 -1.394935e-01  1.528206e-01  0.1257128955  2.358707e-01
  [42,] -0.0701236528 -1.150869e-01  1.205041e-01  0.1259529094  1.258193e-01
  [43,]  0.0910992753 -1.380430e-01  4.923551e-02  0.0325221303  1.491858e-01
  [44,]  0.0713569861 -2.009129e-01  2.970255e-02 -0.0228237724  1.088611e-01
  [45,]  0.1327063490 -1.440144e-01 -2.574008e-02 -0.0238100166  3.883020e-02
  [46,]  0.2567860800 -1.650510e-01  9.524163e-03  0.0330986999  9.876784e-02
  [47,]  0.5132812630 -2.161631e-01  4.311246e-02  0.0602957578 -4.361341e-03
  [48,]  0.1957072993 -2.009830e-02 -1.872774e-02 -0.0668486316  1.255015e-01
  [49,] -0.3182808319 -1.252595e-01  1.910704e-02 -0.1123101687  9.425848e-02
  [50,] -0.5453886855 -5.797905e-03 -1.758035e-01  0.0042870955  9.829773e-02
  [51,] -0.5276303632  1.186619e-01 -1.768807e-01  0.0792335889 -7.874568e-02
  [52,] -0.5024186086  1.591336e-01  9.929453e-02 -0.0551396727  1.863186e-02
  [53,]  0.0667139199  9.092790e-02  6.044397e-02  0.0888653995 -1.084951e-01
  [54,]  0.0041925484  8.435234e-03  1.845080e-01  0.1343873938 -9.699079e-02
  [55,]  0.0297588696  1.948863e-01 -1.618378e-02  0.0814046260 -1.011646e-01
  [56,]  0.1021010567  1.716919e-01 -5.090818e-02  0.0372857152 -3.478887e-03
  [57,]  0.2676396747  7.986746e-02  2.072278e-02  0.0274692140 -3.700715e-01
  [58,]  0.2105513532 -5.558377e-02  3.772288e-02  0.1061073394 -1.013105e-01
  [59,] -0.0232264123  1.484789e-01  4.204124e-02  0.0168832734 -6.350687e-02
  [60,] -0.0432354636  2.015284e-01 -1.502513e-01 -0.0118986027 -1.040130e-01
  [61,] -0.0119091916  7.151112e-02 -1.027889e-01 -0.0494801811 -8.013450e-02
  [62,]  0.1401236709  9.011528e-02 -1.792895e-01 -0.0602118710 -1.032890e-01
  [63,] -0.1248348941  5.456674e-02 -1.893880e-01 -0.1259675245 -2.753334e-02
  [64,] -0.1375704970 -3.171139e-02 -8.975066e-02 -0.2162383564 -5.324012e-02
  [65,]  0.0923528217 -2.067786e-02  4.259055e-02 -0.1517882387  2.897269e-02
  [66,]  0.2429551026 -1.279137e-01 -2.229233e-02  0.0035946263 -6.788527e-02
  [67,]  0.3461443713 -1.526348e-01 -4.660575e-02 -0.0283178274  4.394398e-02
  [68,] -0.4948447557 -2.087881e-02 -4.076777e-02  0.0011052598  4.930097e-02
  [69,] -0.4437682709  1.342213e-01  7.570312e-02  0.1615713655  9.242510e-02
  [70,]  0.1008681574 -6.499953e-02  5.250252e-02  0.1658069779 -8.752981e-03
  [71,] -0.1614329881  3.796609e-03 -5.312801e-02  0.0503296904  3.224232e-03
  [72,] -0.1141018497 -1.152483e-01  4.398106e-02  0.0048793454  1.293562e-01
  [73,]  0.0372487478 -1.151956e-01 -2.167843e-02  0.1433742794  9.278261e-02
  [74,]  0.4009479814 -1.385369e-01 -1.904814e-01 -0.0355596686  2.598326e-01
  [75,]  0.2712089473 -1.350554e-01  5.385609e-02 -0.0971796125  1.583064e-01
  [76,]  0.3079599579 -1.463838e-01 -9.042753e-02 -0.1648348018  1.906721e-01
  [77,]  0.2299060349 -2.106728e-01  1.033110e-02 -0.1314716574  2.051828e-01
  [78,] -0.1232179872 -2.421643e-01  1.325535e-01 -0.1443440641  8.491650e-02
  [79,] -0.5708718511 -1.338199e-01  5.744258e-02 -0.1092029465  9.519103e-02
  [80,] -0.3520121964 -7.888595e-02 -6.917723e-02 -0.1693329668  2.033505e-01
  [81,]  0.1992390687 -1.326643e-01 -1.398791e-01 -0.0358488129  3.490407e-02
  [82,]  0.3102177356 -1.622010e-01 -9.842349e-02  0.1134546121 -7.291489e-02
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