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simple and scalable statistical modelling in R
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vapply error when printing draws object #371

Closed njtierney closed 4 months ago

njtierney commented 3 years ago 
  library(greta)
#> 
#> Attaching package: 'greta'
#> The following objects are masked from 'package:stats':
#> 
#>     binomial, cov2cor, poisson
#> The following objects are masked from 'package:base':
#> 
#>     %*%, apply, backsolve, beta, chol2inv, colMeans, colSums, diag,
#>     eigen, forwardsolve, gamma, identity, rowMeans, rowSums, sweep,
#>     tapply
a <- normal(-100, 0.001)
b <- normal(100, 0.001)
c <- normal(0, 0.001)
result <- b * c + a

model <- model(a, b)
draws <- mcmc(model, warmup = 1, n_samples = 1, verbose = FALSE)
draws
#> $`11`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>            a          b
#> 1 0.03098704 -0.1622347
#> 
#> $`12`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>             a           b
#> 1 -0.01706693 -0.06763552
#> 
#> $`13`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>             a          b
#> 1 -0.02329031 -0.0666188
#> 
#> $`14`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>           a          b
#> 1 0.1454774 -0.1138282
#> 
#> attr(,"class")
#> [1] "greta_mcmc_list" "mcmc.list"      
#> attr(,"model_info")
#> attr(,"model_info")$raw_draws
#> $`11`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>            1          2           3
#> 1 0.03098704 -0.1622347 -0.06318695
#> 
#> $`12`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>             1           2           3
#> 1 -0.01706693 -0.06763552 -0.03748649
#> 
#> $`13`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>             1          2           3
#> 1 -0.02329031 -0.0666188 -0.07066004
#> 
#> $`14`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>           1          2          3
#> 1 0.1454774 -0.1138282 0.04038344
#> 
#> attr(,"class")
#> [1] "mcmc.list"
#> 
#> attr(,"model_info")$samplers
#> attr(,"model_info")$samplers$`1`
#> Error in vapply(x, format, "", big.mark = big.mark, big.interval = big.interval, : values must be length 1,
#>  but FUN(X[[4]]) result is length 3

Created on 2021-04-12 by the reprex package (v2.0.0)

Session info ``` r sessioninfo::session_info() #> ─ Session info ─────────────────────────────────────────────────────────────── #> setting value #> version R version 4.0.3 (2020-10-10) #> os macOS Big Sur 10.16 #> system x86_64, darwin17.0 #> ui X11 #> language (EN) #> collate en_AU.UTF-8 #> ctype en_AU.UTF-8 #> tz Australia/Perth #> date 2021-04-12 #> #> ─ Packages ─────────────────────────────────────────────────────────────────── #> package * version date lib source #> abind 1.4-5 2016-07-21 [1] CRAN (R 4.0.2) #> assertthat 0.2.1 2019-03-21 [1] standard (@0.2.1) #> backports 1.2.1 2020-12-09 [1] standard (@1.2.1) #> base64enc 0.1-3 2015-07-28 [1] standard (@0.1-3) #> cli 2.3.1 2021-02-23 [1] CRAN (R 4.0.2) #> coda 0.19-4 2020-09-30 [1] CRAN (R 4.0.2) #> codetools 0.2-18 2020-11-04 [1] CRAN (R 4.0.2) #> crayon 1.4.1 2021-02-08 [1] CRAN (R 4.0.2) #> digest 0.6.27 2020-10-24 [1] standard (@0.6.27) #> ellipsis 0.3.1 2020-05-15 [1] standard (@0.3.1) #> evaluate 0.14 2019-05-28 [1] standard (@0.14) #> fansi 0.4.2 2021-01-15 [1] CRAN (R 4.0.2) #> fs 1.5.0 2020-07-31 [1] standard (@1.5.0) #> future 1.21.0 2020-12-10 [1] CRAN (R 4.0.2) #> globals 0.14.0 2020-11-22 [1] CRAN (R 4.0.2) #> glue 1.4.2 2020-08-27 [1] standard (@1.4.2) #> greta * 0.3.1.9012 2021-03-29 [1] local #> highr 0.8 2019-03-20 [1] standard (@0.8) #> hms 1.0.0 2021-01-13 [1] CRAN (R 4.0.2) #> htmltools 0.5.1.1 2021-01-22 [1] CRAN (R 4.0.2) #> jsonlite 1.7.2 2020-12-09 [1] standard (@1.7.2) #> knitr 1.31 2021-01-27 [1] CRAN (R 4.0.2) #> lattice 0.20-41 2020-04-02 [1] CRAN (R 4.0.3) #> lifecycle 1.0.0 2021-02-15 [1] CRAN (R 4.0.2) #> listenv 0.8.0 2019-12-05 [1] CRAN (R 4.0.2) #> magrittr 2.0.1 2020-11-17 [1] standard (@2.0.1) #> Matrix 1.3-2 2021-01-06 [1] CRAN (R 4.0.2) #> parallelly 1.24.0 2021-03-14 [1] CRAN (R 4.0.2) #> pillar 1.5.1 2021-03-05 [1] CRAN (R 4.0.2) #> pkgconfig 2.0.3 2019-09-22 [1] standard (@2.0.3) #> prettyunits 1.1.1 2020-01-24 [1] standard (@1.1.1) #> progress 1.2.2 2019-05-16 [1] CRAN (R 4.0.2) #> purrr 0.3.4 2020-04-17 [1] standard (@0.3.4) #> R6 2.5.0 2020-10-28 [1] standard (@2.5.0) #> Rcpp 1.0.6 2021-01-15 [1] CRAN (R 4.0.2) #> reprex 2.0.0 2021-04-02 [1] CRAN (R 4.0.2) #> reticulate 1.18 2020-10-25 [1] CRAN (R 4.0.2) #> rlang 0.4.10 2020-12-30 [1] CRAN (R 4.0.2) #> rmarkdown 2.7 2021-02-19 [1] CRAN (R 4.0.2) #> sessioninfo 1.1.1 2018-11-05 [1] standard (@1.1.1) #> stringi 1.5.3 2020-09-09 [1] standard (@1.5.3) #> stringr 1.4.0 2019-02-10 [1] standard (@1.4.0) #> styler 1.3.2 2020-02-23 [1] standard (@1.3.2) #> tensorflow 2.4.0 2021-03-23 [1] CRAN (R 4.0.3) #> tfruns 1.5.0 2021-02-26 [1] CRAN (R 4.0.2) #> tibble 3.1.0 2021-02-25 [1] CRAN (R 4.0.2) #> utf8 1.2.1 2021-03-12 [1] CRAN (R 4.0.2) #> vctrs 0.3.7 2021-03-29 [1] CRAN (R 4.0.3) #> whisker 0.4 2019-08-28 [1] standard (@0.4) #> withr 2.4.1 2021-01-26 [1] CRAN (R 4.0.2) #> xfun 0.22 2021-03-11 [1] CRAN (R 4.0.2) #> yaml 2.2.1 2020-02-01 [1] standard (@2.2.1) #> #> [1] /Library/Frameworks/R.framework/Versions/4.0/Resources/library ```

Running traceback gives

 Error in vapply(x, format, "", big.mark = big.mark, big.interval = big.interval,  : 
  values must be length 1,
 but FUN(X[[4]]) result is length 3 
7.
vapply(x, format, "", big.mark = big.mark, big.interval = big.interval, 
    small.mark = small.mark, small.interval = small.interval, 
    decimal.mark = decimal.mark, zero.print = zero.print, drop0trailing = drop0trailing, 
    ...) 
6.
prettyNum(x$parameters) 
5.
paste(names(x$parameters), prettyNum(x$parameters), sep = " = ", 
    collapse = ", ") at samplers.R#91
4.
print.sampler(x) 
3.
(function (x, ...) 
UseMethod("print"))(x) 
2.
print.default(x) 
1.
(function (x, ...) 
UseMethod("print"))(x)
njtierney commented 6 months ago

Related to #333 #262 #480

Here's a rough attempt I quickly wrote out of frustration when I came across this error yesterday:

library(greta)
#> 
#> Attaching package: 'greta'
#> The following objects are masked from 'package:stats':
#> 
#>     binomial, cov2cor, poisson
#> The following objects are masked from 'package:base':
#> 
#>     %*%, apply, backsolve, beta, chol2inv, colMeans, colSums, diag,
#>     eigen, forwardsolve, gamma, identity, rowMeans, rowSums, sweep,
#>     tapply

m <- model(normal(0,1))
#> ℹ Initialising python and checking dependencies, this may take a moment.
#> ✔ Initialising python and checking dependencies ... done!
#> 

draws <- mcmc(m)
#> running 4 chains simultaneously on up to 8 CPU cores
#> 
#>     warmup                                           0/1000 | eta:  ?s              warmup ==                                       50/1000 | eta: 10s              warmup ====                                    100/1000 | eta:  6s              warmup ======                                  150/1000 | eta:  4s              warmup ========                                200/1000 | eta:  3s              warmup ==========                              250/1000 | eta:  3s              warmup ===========                             300/1000 | eta:  2s              warmup =============                           350/1000 | eta:  2s              warmup ===============                         400/1000 | eta:  2s              warmup =================                       450/1000 | eta:  1s              warmup ===================                     500/1000 | eta:  1s              warmup =====================                   550/1000 | eta:  1s              warmup =======================                 600/1000 | eta:  1s              warmup =========================               650/1000 | eta:  1s              warmup ===========================             700/1000 | eta:  1s              warmup ============================            750/1000 | eta:  1s              warmup ==============================          800/1000 | eta:  0s              warmup ================================        850/1000 | eta:  0s              warmup ==================================      900/1000 | eta:  0s              warmup ====================================    950/1000 | eta:  0s              warmup ====================================== 1000/1000 | eta:  0s          
#>   sampling                                           0/1000 | eta:  ?s            sampling ==                                       50/1000 | eta:  1s            sampling ====                                    100/1000 | eta:  1s            sampling ======                                  150/1000 | eta:  1s            sampling ========                                200/1000 | eta:  1s            sampling ==========                              250/1000 | eta:  1s            sampling ===========                             300/1000 | eta:  0s            sampling =============                           350/1000 | eta:  0s            sampling ===============                         400/1000 | eta:  0s            sampling =================                       450/1000 | eta:  0s            sampling ===================                     500/1000 | eta:  0s            sampling =====================                   550/1000 | eta:  0s            sampling =======================                 600/1000 | eta:  0s            sampling =========================               650/1000 | eta:  0s            sampling ===========================             700/1000 | eta:  0s            sampling ============================            750/1000 | eta:  0s            sampling ==============================          800/1000 | eta:  0s            sampling ================================        850/1000 | eta:  0s            sampling ==================================      900/1000 | eta:  0s            sampling ====================================    950/1000 | eta:  0s            sampling ====================================== 1000/1000 | eta:  0s

# far too long
draws
#> $`11`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1000 
#> Thinning interval = 1 
#>       normal(0, 1)
#> 1    -0.1189094406
#> 2    -0.2844035421
#> 3     0.1018271149
#> 4     0.0501007564
#> 5     0.3771705114
#> 6     1.7436541842
#> 7    -0.5823314261
#> 8     1.5517687078
#> 9    -0.8421635912
#> 10    1.5133890745
#> 11    1.0485850640
#> 12    0.5935334790
#> 13    0.9299445141
#> 14    1.4413763376
#> 15    0.1446442143
#> 16    0.2303953779
#> 17    1.1585832513
#> 18    0.4263466396
#> 19    0.4263466396
#> 20    0.1156374931
#> 21    0.1156374931
#> 22    0.1156374931
#> 23   -0.3076628984
#> 24    0.1550152136
#> 25   -0.0796780840
#> 26   -0.3379283805
#> 27    0.3251459109
#> 28    1.5053016132
#> 29    1.5053016132
#> 30   -0.5574995021
#> 31   -1.6850630517
#> 32   -0.2762005712
#> 33    0.1755323966
#> 34    0.0719150468
#> 35    0.0719150468
#> 36   -1.3426485354
#> 37   -1.3426485354
#> 38   -0.6898025732
#> 39   -0.5368879690
#> 40   -1.9435806919
#> 41    1.8715397938
#> 42   -1.2113317594
#> 43    0.9068445904
#> 44    0.9068445904
#> 45    1.0663757766
#> 46    0.3335567101
#> 47    0.3335567101
#> 48    0.5454597973
#> 49    0.0027189232
#> 50    0.3123283765
#> 51    0.2796331985
#> 52    0.3702654449
#> 53    0.4285266926
#> 54    0.5615024848
#> 55    0.5032130489
#> 56    0.4459300958
#> 57    0.2814055244
#> 58    0.2496261581
#> 59    0.2144630843
#> 60    0.2426983197
#> 61    0.2556627826
#> 62    0.3195097220
#> 63    0.4333310720
#> 64    0.2303234341
#> 65    0.2537170994
#> 66    0.3187172168
#> 67    0.2824205936
#> 68    0.1788792085
#> 69   -0.0942864208
#> 70   -0.2191915296
#> 71   -0.2329079037
#> 72   -0.2499526897
#> 73   -0.1774710725
#> 74   -0.4079012919
#> 75   -0.4753726305
#> 76   -0.2781084383
#> 77   -0.2935563598
#> 78   -0.5120940415
#> 79   -0.5100815347
#> 80   -0.6979312902
#> 81   -0.6571532430
#> 82   -0.8344198084
#> 83   -0.9328811095
#> 84   -0.9924942621
#> 85   -0.9191348264
#> 86   -0.8719282613
#> 87   -0.8186191367
#> 88   -1.0434503166
#> 89   -1.1551523506
#> 90   -1.1212907140
#> 91   -1.3010433679
#> 92   -1.3898891477
#> 93   -1.2668401542
#> 94   -1.1703272410
#> 95   -1.2228045906
#> 96   -1.1665912227
#> 97   -1.2753775376
#> 98   -1.1868500011
#> 99   -1.1073691379
#> 100  -1.1327979852
#> 101  -1.0925777845
#> 102  -1.0792454195
#> 103  -0.9114282774
#> 104  -0.9335078235
#> 105  -0.9353060837
#> 106  -0.8637302827
#> 107  -1.0407766817
#> 108  -1.2027639636
#> 109  -1.1602746520
#> 110  -1.1382275582
#> 111  -0.9673178650
#> 112  -1.0872826012
#> 113  -1.0729224552
#> 114  -1.0852645758
#> 115  -1.0419253870
#> 116  -0.8996725082
#> 117  -0.8747459086
#> 118  -0.8115118005
#> 119  -0.8678578094
#> 120  -0.8350673398
#> 121  -0.8038793992
#> 122  -0.7331134604
#> 123  -0.6147930313
#> 124  -0.7730894402
#> 125  -0.8085261379
#> 126  -0.9190868791
#> 127  -0.8894473852
#> 128  -0.8674682387
#> 129  -0.6870266511
#> 130  -0.7736279924
#> 131  -0.7157987302
#> 132  -0.7527971276
#> 133  -0.6853922005
#> 134  -0.6437993299
#> 135  -0.5865284986
#> 136  -0.7002475725
#> 137  -0.6866632516
#> 138  -0.6463030059
#> 139  -0.6065288942
#> 140  -0.6456674627
#> 141  -0.5845622927
#> 142  -0.6936980476
#> 143  -0.6728753491
#> 144  -0.5563529684
#> 145  -0.5512338731
#> 146  -0.5798940495
#> 147  -0.5634464851
#> 148  -0.6423903270
#> 149  -0.6948083829
#> 150  -0.6595972962
#> 151   0.4708356901
#> 152  -0.0371035703
#> 153   1.4963324577
#> 154  -0.6804388972
#> 155   0.4332269459
#> 156   0.4332269459
#> 157   0.9834372328
#> 158  -1.8846828776
#> 159  -0.5173199504
#> 160   0.4975738679
#> 161  -1.8790515962
#> 162  -1.8790515962
#> 163  -0.5307751147
#> 164  -0.0227067619
#> 165   1.0989486146
#> 166   1.5099071318
#> 167   1.3964177289
#> 168   0.3600013920
#> 169  -0.4060560130
#> 170  -1.0388295207
#> 171  -1.0388295207
#> 172  -0.5302564564
#> 173  -0.1927147175
#> 174  -0.1927147175
#> 175   0.0346616885
#> 176   1.1973309272
#> 177  -0.4021344788
#> 178  -0.4021344788
#> 179   2.0091750377
#> 180  -1.5071144451
#> 181   0.7802897407
#> 182   0.1526506381
#> 183   0.1526506381
#> 184   1.5846978238
#> 185   0.3431400576
#> 186   1.2111471200
#> 187   1.2111471200
#> 188  -1.6928375911
#> 189   1.9471400068
#> 190  -0.1710720509
#> 191  -0.1710720509
#> 192   1.8219286498
#> 193   0.4893970554
#> 194  -0.2078292606
#> 195  -2.5012328100
#> 196  -1.9806927691
#> 197   2.0771472648
#> 198  -0.6333407903
#> 199  -1.1523389710
#> 200  -0.7517238742
#> 201  -0.5277075777
#> 202   0.5374479825
#> 203  -1.5188861152
#> 204  -0.6579727888
#> 205   1.4124455683
#> 206  -1.3288429619
#> 207   0.9746557054
#> 208  -0.4568018908
#> 209  -0.4568018908
#> 210   1.4284402669
#> 211  -1.2995875554
#> 212   0.0060918526
#> 213  -1.1692159209
#> 214   2.6440857414
#> 215  -0.1601767921
#> 216   0.5652323880
#> 217  -1.0551725570
#> 218  -1.0551725570
#> 219  -1.0551725570
#> 220  -0.5707356542
#> 221   0.3022292907
#> 222   0.6791013240
#> 223   0.2157092639
#> 224   0.1341011015
#> 225  -1.1301063826
#> 226   1.2254061837
#> 227  -1.1702161986
#> 228   0.4322010216
#> 229   0.4322010216
#> 230  -0.1372900603
#> 231  -0.1372900603
#> 232  -0.1372900603
#> 233  -1.3890118940
#> 234  -0.6103835917
#> 235  -0.1491574444
#> 236  -0.5987925323
#> 237   0.6843283149
#> 238  -1.5340469171
#> 239   0.2991285315
#> 240  -0.7966823240
#> 241  -1.2659726219
#> 242  -1.7121058926
#> 243  -0.4110136241
#> 244   0.5221394484
#> 245  -0.4413736413
#> 246  -0.1181973314
#> 247  -1.7007410260
#> 248  -1.0711262125
#> 249  -0.4349501506
#> 250  -0.4349501506
#> 251  -0.4349501506
#> 252  -0.4349501506
#> 253  -0.4349501506
#> 254  -0.1246588999
#> 255   0.4375606735
#> 256   1.6621231471
#> 257  -0.6825677359
#> 258  -0.6825677359
#> 259  -0.4878797917
#> 260  -0.3293651803
#> 261   0.9478208554
#> 262  -0.4964459801
#> 263   0.0543165979
#> 264   1.1908066140
#> 265   1.1908066140
#> 266   1.1908066140
#> 267   1.1004110846
#> 268   1.7747039392
#> 269  -0.8243770628
#> 270  -0.4977082588
#> 271   0.3032362465
#> 272   0.3032362465
#> 273  -1.8212885108
#> 274  -1.8352214497
#> 275   1.3933770914
#> 276  -0.9984150030
#> 277  -0.9411796798
#> 278  -0.1589756562
#> 279   0.6368799972
#> 280   0.6368799972
#> 281   0.7728445439
#> 282  -0.9621816454
#> 283  -2.6224058914
#> 284  -1.1018317400
#> 285   2.6440435572
#> 286   1.7356944726
#> 287   0.4898798529
#> 288   0.5052653598
#> 289  -0.7901691870
#> 290   1.3063569209
#> 291  -1.7291830536
#> 292   0.2726435692
#> 293   0.2726435692
#> 294   1.1151930831
#> 295   1.0027076184
#> 296   1.3452238902
#> 297   2.2041272877
#> 298  -0.7020981825
#> 299  -0.7020981825
#> 300  -0.6551747463
#> 301  -0.6320061336
#> 302  -0.6570845267
#> 303  -0.7206744037
#> 304  -0.5738788666
#> 305  -0.8157508033
#> 306  -0.7093516859
#> 307  -0.6998740008
#> 308  -0.6186439921
#> 309  -0.6973818687
#> 310  -0.6959746616
#> 311  -0.7376204022
#> 312  -0.7923592606
#> 313  -0.5846753076
#> 314  -0.5808242131
#> 315  -0.5907894343
#> 316  -0.4598490486
#> 317  -0.3868413074
#> 318  -0.3932439905
#> 319  -0.4825766626
#> 320  -0.3401327784
#> 321  -0.2782655978
#> 322  -0.2571454138
#> 323  -0.3822466659
#> 324  -0.4615640553
#> 325  -0.7365355463
#> 326  -0.8214134201
#> 327  -0.8232986665
#> 328  -0.6954787875
#> 329  -0.7443786482
#> 330  -0.7835488625
#> 331  -0.9485720776
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#> 941  -0.7761938559
#> 942   0.4863710116
#> 943  -0.0993094519
#> 944  -0.0993094519
#> 945  -0.0993094519
#> 946  -0.9751721303
#> 947  -1.3183129578
#> 948   1.1980037697
#> 949  -0.1851973918
#> 950  -0.1851973918
#> 951  -0.1851973918
#> 952   1.3684761548
#> 953   1.5939794211
#> 954  -0.7383271528
#> 955   1.8480552383
#> 956   1.8480552383
#> 957  -0.8795784777
#> 958  -0.8398524895
#> 959  -0.8398524895
#> 960   1.8544281999
#> 961   0.8971895792
#> 962   0.6650944191
#> 963   0.1655522170
#> 964  -0.5859208615
#> 965   0.2489518296
#> 966  -2.1706820482
#> 967  -0.1556713196
#> 968   1.5860970064
#> 969  -0.8776956351
#> 970   0.0733378378
#> 971  -0.4711672196
#> 972   1.9455686392
#> 973  -0.2934434180
#> 974  -0.8913970869
#> 975   0.9710232581
#> 976  -1.4845227423
#> 977   1.5784588020
#> 978  -1.5010943501
#> 979  -1.2261540524
#> 980   0.7498840284
#> 981   0.7498840284
#> 982  -0.8249740164
#> 983  -0.0878591765
#> 984   0.1098763333
#> 985  -1.1337783131
#> 986   2.4098016520
#> 987   0.9925113490
#> 988  -0.2779425885
#> 989  -0.2779425885
#> 990  -2.0642399134
#> 991   1.3568480737
#> 992  -0.1836688913
#> 993   0.0596139322
#> 994  -1.0043590636
#> 995  -0.7014057506
#> 996  -0.7014057506
#> 997  -0.9563511654
#> 998   0.5924676809
#> 999   0.1678815157
#> 1000  0.2739513067
#> 
#> $`12`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1000 
#> Thinning interval = 1 
#>      normal(0, 1)
#> 1     0.267655143
#> 2     0.519577612
#> 3    -0.926708027
#> 4     1.601554851
#> 5     1.122220161
#> 6     1.201998459
#> 7    -0.752020868
#> 8    -0.007882984
#> 9    -1.135708461
#> 10   -0.674910924
#> 11   -0.181581471
#> 12   -0.181581471
#> 13    0.276417321
#> 14   -1.072822424
#> 15    0.614252645
#> 16    0.614252645
#> 17    0.555016587
#> 18    0.591245766
#> 19    0.591245766
#> 20   -0.014187139
#> 21    0.511205847
#> 22    0.623500345
#> 23   -2.556046713
#> 24    0.981615615
#> 25    1.853557643
#> 26    0.137003377
#> 27    0.137003377
#> 28   -0.036851330
#> 29   -1.145128554
#> 30   -0.283367606
#> 31   -1.408096053
#> 32   -1.225631287
#> 33   -3.150338849
#> 34    1.807017978
#> 35   -0.962690295
#> 36   -0.962690295
#> 37   -0.104043787
#> 38   -0.731295682
#> 39   -1.971497135
#> 40   -1.985877716
#> 41    1.432876943
#> 42   -0.291884579
#> 43    1.117510424
#> 44   -0.296537890
#> 45   -0.513969302
#> 46    0.519660762
#> 47    0.519660762
#> 48    0.519660762
#> 49    0.382889047
#> 50    0.673246009
#> 51    0.704349616
#> 52    0.636052825
#> 53    0.644051662
#> 54    0.553900043
#> 55    0.544255929
#> 56    0.429272116
#> 57    0.315804040
#> 58    0.201527089
#> 59    0.137893587
#> 60   -0.037628079
#> 61   -0.012882499
#> 62    0.061967805
#> 63    0.028439020
#> 64   -0.013350747
#> 65    0.079115942
#> 66    0.064406047
#> 67    0.230040840
#> 68    0.223017836
#> 69    0.180485700
#> 70    0.146419055
#> 71    0.111636994
#> 72    0.178414389
#> 73    0.076838670
#> 74    0.145525410
#> 75    0.370035377
#> 76    0.353665622
#> 77    0.503899817
#> 78    0.495288547
#> 79    0.420411860
#> 80    0.450190720
#> 81    0.468010416
#> 82    0.454196402
#> 83    0.582562413
#> 84    0.564200341
#> 85    0.439477214
#> 86    0.553541053
#> 87    0.641051209
#> 88    0.450976540
#> 89    0.392951589
#> 90    0.460328682
#> 91    0.519773733
#> 92    0.657895248
#> 93    0.587459099
#> 94    0.573860434
#> 95    0.478387958
#> 96    0.367283869
#> 97    0.270406134
#> 98    0.266263867
#> 99    0.212195784
#> 100   0.385228799
#> 101   0.352775087
#> 102   0.548112811
#> 103   0.649005469
#> 104   0.491915389
#> 105   0.574298152
#> 106   0.521569391
#> 107   0.566019336
#> 108   0.865104461
#> 109   0.861706338
#> 110   0.898865162
#> 111   0.992086183
#> 112   1.167705733
#> 113   1.103578704
#> 114   1.267256807
#> 115   1.219418156
#> 116   1.158943920
#> 117   1.115393730
#> 118   0.991280000
#> 119   0.943568086
#> 120   0.820341023
#> 121   0.775452208
#> 122   0.889543893
#> 123   0.870825009
#> 124   0.821839153
#> 125   0.640053288
#> 126   0.680106955
#> 127   0.777406117
#> 128   0.784145369
#> 129   0.733921749
#> 130   0.819774785
#> 131   0.895632774
#> 132   0.906179395
#> 133   0.836799277
#> 134   0.854997298
#> 135   0.890076068
#> 136   0.839662411
#> 137   0.891885363
#> 138   0.881617614
#> 139   0.998478213
#> 140   0.925639096
#> 141   1.002437673
#> 142   1.076310450
#> 143   0.966405447
#> 144   0.748295498
#> 145   0.617606839
#> 146   0.672282630
#> 147   0.757756312
#> 148   0.705208872
#> 149   0.946513862
#> 150   0.936914522
#> 151   0.567642164
#> 152   0.567642164
#> 153   0.567642164
#> 154   0.106211272
#> 155  -0.081650295
#> 156   0.729762187
#> 157  -0.354925899
#> 158  -0.354925899
#> 159   0.413446722
#> 160  -0.452890693
#> 161   0.658560653
#> 162   2.026855160
#> 163   2.026855160
#> 164  -1.770244776
#> 165   0.308202327
#> 166   1.663257462
#> 167  -1.041314321
#> 168  -0.106394946
#> 169  -0.020827256
#> 170  -0.020827256
#> 171   1.398508419
#> 172  -0.218844165
#> 173  -0.218844165
#> 174  -0.218844165
#> 175  -0.526894212
#> 176  -0.667611595
#> 177  -1.777873732
#> 178   0.112120533
#> 179   0.559922263
#> 180   0.516876168
#> 181   0.516876168
#> 182  -0.519293840
#> 183  -0.359241134
#> 184   0.165073606
#> 185   0.165073606
#> 186   0.165073606
#> 187   0.165073606
#> 188   0.537085117
#> 189   1.102647540
#> 190   1.102647540
#> 191   0.637188766
#> 192   0.284278941
#> 193   1.048932048
#> 194   1.048932048
#> 195   1.319049788
#> 196   1.319049788
#> 197   1.992814498
#> 198  -1.600500799
#> 199  -1.809125300
#> 200   0.858045174
#> 201   2.212026474
#> 202   2.212026474
#> 203  -1.967076084
#> 204   0.510314367
#> 205   0.510314367
#> 206   0.510314367
#> 207   0.800366932
#> 208   0.041083426
#> 209  -0.627268561
#> 210   0.024420973
#> 211   0.024420973
#> 212  -0.239953354
#> 213  -0.239953354
#> 214  -0.646953040
#> 215   2.244037952
#> 216  -1.280067707
#> 217   1.933414722
#> 218   1.319658073
#> 219   0.708360382
#> 220  -2.128338093
#> 221  -1.121140229
#> 222   0.495263463
#> 223   3.262106997
#> 224  -0.319476603
#> 225   1.148446458
#> 226  -1.081790098
#> 227   0.582072670
#> 228  -0.611309206
#> 229   0.373263334
#> 230  -0.546116410
#> 231  -0.983795667
#> 232  -0.238118206
#> 233   0.665214314
#> 234   0.665214314
#> 235  -0.422680541
#> 236  -0.422680541
#> 237   0.225975788
#> 238   1.607351185
#> 239  -1.284238326
#> 240   1.207891464
#> 241   0.157221321
#> 242   1.059540532
#> 243  -0.356556942
#> 244  -0.672448713
#> 245  -0.154554909
#> 246  -0.142220851
#> 247  -0.947501753
#> 248  -0.945231990
#> 249  -0.768778209
#> 250   0.150737085
#> 251  -0.248890603
#> 252   0.043462676
#> 253   0.043462676
#> 254  -0.891855145
#> 255  -0.625379155
#> 256  -0.208609518
#> 257   1.289741478
#> 258   1.289741478
#> 259   0.289426750
#> 260  -1.106421423
#> 261  -2.089154702
#> 262   1.907731729
#> 263  -1.179735258
#> 264   1.843844933
#> 265   0.928088715
#> 266   2.186631256
#> 267  -0.977047508
#> 268  -0.303634179
#> 269   0.749796607
#> 270  -0.019991450
#> 271  -0.019991450
#> 272  -0.019991450
#> 273  -0.977686033
#> 274   0.353724853
#> 275  -1.028888181
#> 276   0.862562058
#> 277   0.862562058
#> 278   0.313669702
#> 279  -0.051550498
#> 280   0.367312286
#> 281   1.892216571
#> 282   2.060158043
#> 283   0.179031967
#> 284   0.344853023
#> 285   0.344853023
#> 286   0.165712659
#> 287  -0.299731498
#> 288   1.531763179
#> 289   0.101460592
#> 290  -0.287460942
#> 291   0.687610445
#> 292   0.687610445
#> 293   0.252458653
#> 294  -1.764358836
#> 295   1.188347506
#> 296   1.048137040
#> 297  -1.062332113
#> 298   3.350732940
#> 299   2.443958442
#> 300  -0.511651569
#> 301  -0.613898123
#> 302  -0.785841530
#> 303  -0.676949907
#> 304  -0.690495580
#> 305  -0.592569329
#> 306  -0.676496608
#> 307  -0.536229264
#> 308  -0.480140291
#> 309  -0.417480073
#> 310  -0.579339841
#> 311  -0.559158138
#> 312  -0.689964322
#> 313  -0.621933980
#> 314  -0.477083371
#> 315  -0.349449430
#> 316  -0.397086441
#> 317  -0.227375230
#> 318  -0.297620164
#> 319  -0.248630002
#> 320  -0.309216083
#> 321  -0.155350168
#> 322  -0.270719609
#> 323  -0.184215358
#> 324  -0.160731239
#> 325   0.077776741
#> 326  -0.049547350
#> 327  -0.099201616
#> 328  -0.202517845
#> 329  -0.390115087
#> 330  -0.371209557
#> 331  -0.388314589
#> 332  -0.414919057
#> 333  -0.300776089
#> 334  -0.354751846
#> 335  -0.300114466
#> 336  -0.147759053
#> 337  -0.256382217
#> 338  -0.272006466
#> 339  -0.279040929
#> 340  -0.209854480
#> 341  -0.338183916
#> 342  -0.512422686
#> 343  -0.428769935
#> 344  -0.529279642
#> 345  -0.626657335
#> 346  -0.657716356
#> 347  -0.499048879
#> 348  -0.413136788
#> 349  -0.608242155
#> 350  -0.559833574
#> 351  -0.559833574
#> 352   0.241683249
#> 353   0.216498276
#> 354  -0.313163791
#> 355   0.185511795
#> 356  -0.581846853
#> 357  -0.744726288
#> 358  -1.549809164
#> 359   0.647856409
#> 360   0.152121896
#> 361   1.809207352
#> 362   1.809207352
#> 363  -1.710343540
#> 364   0.625491409
#> 365   0.625283238
#> 366  -0.696751377
#> 367   0.309685817
#> 368  -0.290817115
#> 369   1.470555281
#> 370   0.721633733
#> 371   0.598988110
#> 372  -0.636760144
#> 373   0.161401231
#> 374   0.161401231
#> 375   0.411018196
#> 376   0.112306151
#> 377   0.861432893
#> 378  -0.215399438
#> 379  -0.412814252
#> 380  -1.011743201
#> 381   1.271598222
#> 382  -0.900004524
#> 383   0.556051020
#> 384   0.384430925
#> 385   1.399590848
#> 386  -0.061318882
#> 387   1.935284666
#> 388  -0.150400934
#> 389   0.606040181
#> 390  -0.492855692
#> 391  -0.492855692
#> 392  -0.624387115
#> 393  -1.415153101
#> 394  -1.415153101
#> 395  -1.225956440
#> 396  -0.201139489
#> 397  -1.070426577
#> 398   0.584211510
#> 399   0.584211510
#> 400   1.042694492
#> 401   1.038097249
#> 402   1.015356755
#> 403   1.185782978
#> 404   1.174339292
#> 405   1.141522631
#> 406   1.090320971
#> 407   1.162603069
#> 408   1.195895314
#> 409   1.244988547
#> 410   1.136645421
#> 411   1.193101647
#> 412   1.157413838
#> 413   1.052331064
#> 414   1.040425484
#> 415   1.173105954
#> 416   1.163156126
#> 417   1.168965557
#> 418   1.187524532
#> 419   1.221078530
#> 420   1.266397632
#> 421   1.187366778
#> 422   1.257956421
#> 423   1.258022574
#> 424   1.196019741
#> 425   1.166107809
#> 426   1.213296221
#> 427   1.290395307
#> 428   1.293082515
#> 429   1.256324519
#> 430   1.275745749
#> 431   1.214081406
#> 432   1.276246751
#> 433   1.323150926
#> 434   1.342029158
#> 435   1.314609529
#> 436   1.293152352
#> 437   1.332880168
#> 438   1.258161809
#> 439   1.182454905
#> 440   1.216625905
#> 441   1.313443051
#> 442   1.297944549
#> 443   1.166800504
#> 444   1.202318444
#> 445   1.097676990
#> 446   1.156334414
#> 447   1.149035435
#> 448   1.216272587
#> 449   1.251501505
#> 450   1.295342893
#> 451   1.295342893
#> 452   0.908963801
#> 453   0.719721420
#> 454   0.831672749
#> 455  -1.971522425
#> 456  -0.586105128
#> 457  -0.356723488
#> 458  -0.356723488
#> 459  -0.356723488
#> 460  -0.505337688
#> 461   0.408946065
#> 462  -1.735251389
#> 463  -0.514276542
#> 464   1.147278651
#> 465  -1.686150282
#> 466  -1.686150282
#> 467   1.558183309
#> 468   0.670308206
#> 469   0.588084273
#> 470  -0.916876451
#> 471  -0.709456907
#> 472   0.620955600
#> 473   1.652215516
#> 474  -1.456821845
#> 475  -0.278927219
#> 476  -0.278927219
#> 477   0.780304396
#> 478  -1.045466848
#> 479  -0.324147485
#> 480  -0.381661629
#> 481  -0.521100813
#> 482   0.233768032
#> 483   0.233768032
#> 484  -0.587423015
#> 485   0.983062358
#> 486   0.983062358
#> 487  -2.552802779
#> 488   2.652040978
#> 489  -1.218544270
#> 490   0.177855559
#> 491  -0.109625324
#> 492  -0.109625324
#> 493  -0.137490074
#> 494  -0.137490074
#> 495  -0.137490074
#> 496  -0.187061687
#> 497  -0.413098183
#> 498  -0.831762828
#> 499   0.876506128
#> 500  -0.378126517
#> 501   0.186472601
#> 502  -2.005161851
#> 503  -1.220317234
#> 504   2.568243045
#> 505   1.569705364
#> 506  -0.872055970
#> 507  -0.872055970
#> 508   0.792078761
#> 509   0.527736225
#> 510   0.495070690
#> 511  -0.113981784
#> 512   2.194897366
#> 513   1.871361761
#> 514  -0.425733918
#> 515   0.186740570
#> 516  -0.036134809
#> 517  -0.366608408
#> 518  -0.329960159
#> 519  -0.329960159
#> 520  -0.212305743
#> 521  -0.212305743
#> 522  -0.725321560
#> 523   0.322216790
#> 524  -0.047913150
#> 525   0.559877985
#> 526  -1.600836367
#> 527   0.813632346
#> 528   0.221853474
#> 529   1.209261932
#> 530  -0.389004897
#> 531  -2.011118600
#> 532  -1.089410124
#> 533   0.072768337
#> 534  -0.818238694
#> 535  -0.818238694
#> 536  -0.194583250
#> 537   0.142090933
#> 538  -1.423432976
#> 539   0.215911396
#> 540  -0.188462514
#> 541  -1.247729552
#> 542   0.582699672
#> 543   0.678666595
#> 544  -0.796102953
#> 545  -0.147353909
#> 546  -0.607478484
#> 547   2.722085329
#> 548   2.206877891
#> 549  -0.675149128
#> 550  -0.683331948
#> 551  -0.791390087
#> 552  -0.866771189
#> 553  -0.828760639
#> 554  -0.809624350
#> 555  -0.770350454
#> 556  -0.905829473
#> 557  -0.943502724
#> 558  -0.870923828
#> 559  -0.894725682
#> 560  -0.727542880
#> 561  -0.640568521
#> 562  -0.716880084
#> 563  -0.662917977
#> 564  -0.642909973
#> 565  -0.730584363
#> 566  -0.729122978
#> 567  -0.639169848
#> 568  -0.626921194
#> 569  -0.649437306
#> 570  -0.757260108
#> 571  -0.770692451
#> 572  -0.750059248
#> 573  -0.805530565
#> 574  -0.939889210
#> 575  -0.974823746
#> 576  -0.910850414
#> 577  -0.930575435
#> 578  -1.065226573
#> 579  -1.088015402
#> 580  -1.013791235
#> 581  -0.842359402
#> 582  -0.795907131
#> 583  -0.768125503
#> 584  -0.745066373
#> 585  -0.822114259
#> 586  -0.753939397
#> 587  -0.772489310
#> 588  -0.839186777
#> 589  -0.694811067
#> 590  -0.746721902
#> 591  -0.721429028
#> 592  -0.642475725
#> 593  -0.539213971
#> 594  -0.498632174
#> 595  -0.440914750
#> 596  -0.488689430
#> 597  -0.611658224
#> 598  -0.498398905
#> 599  -0.295843405
#> 600  -0.037838274
#> 601   0.008217109
#> 602   0.120742482
#> 603   0.190098778
#> 604   0.223802680
#> 605   0.161816403
#> 606   0.169399450
#> 607   0.181861612
#> 608   0.138738323
#> 609   0.132306527
#> 610  -0.017208529
#> 611   0.016898029
#> 612  -0.119339958
#> 613  -0.130139387
#> 614  -0.127745876
#> 615  -0.144798719
#> 616  -0.156900120
#> 617  -0.169916465
#> 618  -0.125453966
#> 619  -0.213322476
#> 620  -0.070540145
#> 621  -0.053028478
#> 622  -0.135424167
#> 623  -0.172530437
#> 624  -0.212649294
#> 625  -0.232916488
#> 626  -0.195462369
#> 627  -0.140272923
#> 628  -0.167424848
#> 629  -0.179614832
#> 630  -0.209602001
#> 631  -0.239317505
#> 632  -0.163688036
#> 633  -0.248126608
#> 634  -0.170836735
#> 635  -0.154135051
#> 636  -0.203014688
#> 637  -0.165281709
#> 638  -0.214835013
#> 639  -0.310562948
#> 640  -0.348289038
#> 641  -0.283784279
#> 642  -0.166237863
#> 643  -0.077122959
#> 644   0.053829444
#> 645   0.006565826
#> 646   0.102003010
#> 647   0.077606967
#> 648  -0.021000898
#> 649  -0.042024075
#> 650  -0.104715643
#> 651  -0.771260915
#> 652   0.782150335
#> 653  -0.273774107
#> 654   0.710640330
#> 655  -0.333319983
#> 656   0.710771633
#> 657   1.056822301
#> 658  -0.079148216
#> 659   1.956379754
#> 660  -1.531179659
#> 661  -1.531179659
#> 662   1.428825082
#> 663   0.319802921
#> 664   0.319802921
#> 665   1.258525455
#> 666  -0.282341555
#> 667  -0.282341555
#> 668  -0.693517691
#> 669   1.049758086
#> 670   1.167974087
#> 671  -0.557181876
#> 672   0.948659325
#> 673  -0.537471819
#> 674  -0.107864994
#> 675   1.093360361
#> 676   2.810921455
#> 677  -1.146272782
#> 678   0.897019730
#> 679   1.313415530
#> 680  -0.932249542
#> 681  -0.932249542
#> 682  -0.421276988
#> 683  -0.288625675
#> 684  -0.288625675
#> 685  -1.187114502
#> 686   1.196583263
#> 687  -0.724141538
#> 688  -0.724141538
#> 689   1.179933442
#> 690   1.573310627
#> 691   1.573310627
#> 692  -1.596994022
#> 693  -1.217679775
#> 694   1.571946240
#> 695   1.571946240
#> 696  -1.023174316
#> 697  -2.097766045
#> 698   0.614523312
#> 699  -0.690317660
#> 700  -0.719384716
#> 701  -0.719384716
#> 702  -0.719384716
#> 703   0.027256427
#> 704  -0.117686446
#> 705  -0.579268441
#> 706   1.120862860
#> 707  -1.103411046
#> 708  -1.103411046
#> 709  -0.538234478
#> 710   0.416720299
#> 711   0.416720299
#> 712  -1.074594089
#> 713  -1.848966854
#> 714  -0.138609766
#> 715  -2.186780734
#> 716   0.697357858
#> 717  -0.364989876
#> 718  -0.364989876
#> 719   0.061297559
#> 720   1.448677209
#> 721  -2.105039147
#> 722   1.749451273
#> 723  -1.503925946
#> 724   0.294794937
#> 725  -0.972965135
#> 726  -0.972965135
#> 727  -0.712689636
#> 728   1.290731685
#> 729   2.230956610
#> 730   1.837211210
#> 731  -1.351150567
#> 732  -0.179833351
#> 733  -0.179833351
#> 734  -1.601011197
#> 735  -0.182485271
#> 736  -0.169972700
#> 737  -0.044618217
#> 738  -0.571285070
#> 739  -1.585247736
#> 740  -0.370945004
#> 741   0.567079406
#> 742   1.088534112
#> 743   0.413548406
#> 744   3.020598187
#> 745  -1.027449973
#> 746  -1.854846001
#> 747  -0.944445747
#> 748  -1.038654179
#> 749   0.080590463
#> 750   0.881100942
#> 751   0.826542867
#> 752   0.789889493
#> 753   0.823435225
#> 754   0.871714428
#> 755   0.866088111
#> 756   0.813825108
#> 757   0.877344123
#> 758   0.856571520
#> 759   0.989291466
#> 760   0.911236405
#> 761   0.921360487
#> 762   0.731866542
#> 763   0.732029285
#> 764   0.688330451
#> 765   0.639807182
#> 766   0.652309737
#> 767   0.669272369
#> 768   0.695597460
#> 769   0.575555555
#> 770   0.619268694
#> 771   0.681436189
#> 772   0.642754152
#> 773   0.665615521
#> 774   0.735349879
#> 775   0.786800154
#> 776   0.784825303
#> 777   0.794682834
#> 778   0.920637829
#> 779   0.924052974
#> 780   0.873305858
#> 781   0.740805052
#> 782   0.818992587
#> 783   0.858999773
#> 784   0.800943761
#> 785   0.777585803
#> 786   0.899358647
#> 787   0.881425947
#> 788   0.923677710
#> 789   0.980913706
#> 790   0.913222861
#> 791   0.830157448
#> 792   0.821171823
#> 793   0.797902621
#> 794   0.803919272
#> 795   0.849581701
#> 796   0.827774200
#> 797   0.739015541
#> 798   0.706588789
#> 799   0.621337948
#> 800   0.620610129
#> 801   0.549044333
#> 802  -0.261474883
#> 803  -0.065511384
#> 804  -0.562625491
#> 805  -1.108907937
#> 806  -0.556973311
#> 807   0.550883205
#> 808  -0.931165832
#> 809  -1.308755186
#> 810   0.967627646
#> 811   1.208829887
#> 812   0.558809343
#> 813   1.201146157
#> 814   0.579849833
#> 815  -0.880321938
#> 816  -0.880321938
#> 817   1.704870263
#> 818  -0.904817469
#> 819  -0.155716021
#> 820  -0.862534868
#> 821   1.466362835
#> 822  -0.297141111
#> 823   0.124931143
#> 824  -2.278318729
#> 825  -0.055783579
#> 826   0.365113919
#> 827   0.365113919
#> 828   0.365113919
#> 829   0.991609065
#> 830   0.991609065
#> 831   0.375479202
#> 832   0.375479202
#> 833   1.316185812
#> 834   0.450780162
#> 835   0.450780162
#> 836  -1.414446021
#> 837  -2.115424783
#> 838   1.166733968
#> 839  -1.636899272
#> 840  -1.395222313
#> 841   0.349732584
#> 842  -0.820428594
#> 843  -1.220533210
#> 844   0.407124387
#> 845   2.739458017
#> 846   1.631536169
#> 847   1.232830144
#> 848   0.144896243
#> 849  -0.794354682
#> 850  -0.482263540
#> 851  -0.827317305
#> 852  -0.044372218
#> 853  -0.226678734
#> 854  -0.288685054
#> 855  -0.348508293
#> 856  -1.260810921
#> 857   0.295982333
#> 858   0.295982333
#> 859   0.295982333
#> 860  -0.193101452
#> 861  -1.306525510
#> 862  -0.779330067
#> 863  -0.779330067
#> 864   0.392048944
#> 865   0.614875978
#> 866   1.131422438
#> 867   1.131422438
#> 868  -0.157564425
#> 869  -2.418922310
#> 870   1.544407252
#> 871   1.051429256
#> 872  -0.801969527
#> 873   0.171854597
#> 874   0.171854597
#> 875   0.880001010
#> 876   1.137708171
#> 877  -1.142589421
#> 878   0.364281013
#> 879   0.134265274
#> 880  -1.539877273
#> 881  -0.017078222
#> 882  -0.915909607
#> 883  -0.386220965
#> 884  -0.230654565
#> 885  -0.118093402
#> 886  -0.118093402
#> 887   0.969041093
#> 888  -0.047498504
#> 889  -1.205771879
#> 890  -2.046938401
#> 891  -0.848471577
#> 892   0.921225663
#> 893   0.204523150
#> 894   0.204523150
#> 895  -1.082890709
#> 896   0.418202802
#> 897   0.418202802
#> 898  -1.939698992
#> 899   0.172503802
#> 900  -0.267235746
#> 901  -0.826054147
#> 902  -0.502333959
#> 903  -0.931121867
#> 904  -1.950555304
#> 905  -0.917612623
#> 906  -0.229259718
#> 907   1.216738726
#> 908   0.589351096
#> 909   0.316585791
#> 910   1.572194417
#> 911  -1.161138997
#> 912  -0.226733501
#> 913   0.208943452
#> 914   0.700610651
#> 915  -0.229204870
#> 916   1.106640486
#> 917   1.106640486
#> 918   1.106640486
#> 919  -0.073673086
#> 920   0.748321894
#> 921   0.201895839
#> 922   2.497021879
#> 923  -0.627563617
#> 924   2.490606892
#> 925   0.683105750
#> 926  -0.873628022
#> 927   1.341436102
#> 928   0.219479429
#> 929  -0.153393455
#> 930   0.408644465
#> 931  -0.081471703
#> 932  -0.119002025
#> 933  -2.394097566
#> 934   0.651941687
#> 935  -0.785406449
#> 936   1.013848471
#> 937   0.587087977
#> 938   0.331332055
#> 939  -0.666773726
#> 940   1.563947220
#> 941   0.897390808
#> 942   0.126323946
#> 943   0.126323946
#> 944  -0.482748639
#> 945  -1.595085398
#> 946  -1.022347426
#> 947  -0.720485939
#> 948   1.747857092
#> 949   1.371703384
#> 950   0.068375542
#> 951   1.730758076
#> 952  -2.166750026
#> 953   2.114771025
#> 954  -2.123086302
#> 955  -0.763477727
#> 956   0.455495540
#> 957   0.833436382
#> 958  -0.142550796
#> 959  -0.142550796
#> 960   0.354376836
#> 961  -0.759893985
#> 962  -0.440803454
#> 963   1.083965677
#> 964  -0.753881584
#> 965  -0.563031097
#> 966  -0.563031097
#> 967   0.448333396
#> 968  -0.442040980
#> 969  -1.580305849
#> 970   0.123371320
#> 971   0.738390677
#> 972  -1.117674623
#> 973   1.573577043
#> 974  -1.050926588
#> 975  -0.110577599
#> 976   0.799442340
#> 977  -0.219066000
#> 978   0.732145785
#> 979  -0.102031332
#> 980  -0.102031332
#> 981   0.251537068
#> 982   1.762370835
#> 983   1.762370835
#> 984  -0.138114963
#> 985  -1.139431199
#> 986   1.107645381
#> 987  -0.504381878
#> 988  -1.565821122
#> 989   0.613867305
#> 990   0.386130170
#> 991   2.491574315
#> 992  -0.910023761
#> 993  -1.493637121
#> 994   0.499573834
#> 995  -0.802540905
#> 996   0.638566713
#> 997   0.638566713
#> 998  -0.066110092
#> 999  -0.066110092
#> 1000 -0.066110092
#> 
#> $`13`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1000 
#> Thinning interval = 1 
#>       normal(0, 1)
#> 1    -1.2611626622
#> 2    -0.9444275560
#> 3     0.9500986168
#> 4     0.4851310242
#> 5     0.7693628931
#> 6     0.7693628931
#> 7     0.2192803279
#> 8     0.2587822361
#> 9    -1.1228856587
#> 10   -1.0038246618
#> 11    0.2819253300
#> 12   -0.4396313580
#> 13    1.8834148612
#> 14    2.2307006791
#> 15   -1.4838237973
#> 16    0.7905102643
#> 17   -2.3238575640
#> 18    0.2762585054
#> 19    1.1610970350
#> 20   -0.4804346390
#> 21    0.2505805369
#> 22    2.0279157731
#> 23    0.9574809204
#> 24    1.9877010672
#> 25   -0.8998613544
#> 26   -0.8998613544
#> 27    1.1716658333
#> 28    0.6820985875
#> 29    0.2301070442
#> 30   -0.0756318272
#> 31   -1.3253763570
#> 32   -1.3253763570
#> 33   -0.7912091100
#> 34    0.6773093098
#> 35    1.4178322868
#> 36   -0.6393955840
#> 37    1.4934791024
#> 38    0.2163969091
#> 39    0.2163969091
#> 40    0.3745878847
#> 41    1.0844854126
#> 42    1.7222352105
#> 43   -2.6056095335
#> 44    2.0171374724
#> 45   -1.5666914117
#> 46    0.1142695271
#> 47    0.7894720374
#> 48    0.7894720374
#> 49    0.8444493252
#> 50   -0.1446719225
#> 51   -0.1265516032
#> 52   -0.2901865176
#> 53   -0.0214247331
#> 54   -0.0857034818
#> 55   -0.0527867683
#> 56   -0.1601827244
#> 57    0.0264858635
#> 58   -0.0141859547
#> 59   -0.1373607507
#> 60    0.0839179113
#> 61   -0.2076501500
#> 62   -0.3094448696
#> 63   -0.4311668348
#> 64   -0.2893591049
#> 65   -0.1202258282
#> 66   -0.0408572824
#> 67   -0.4128753790
#> 68   -0.5232430602
#> 69   -0.6431942758
#> 70   -0.5935381690
#> 71   -0.4900730344
#> 72   -0.4143057901
#> 73   -0.2486729266
#> 74   -0.4021583291
#> 75   -0.3853447313
#> 76   -0.4876951972
#> 77   -0.4982336615
#> 78   -0.5811473803
#> 79   -0.4515650275
#> 80   -0.5054386348
#> 81   -0.3323525578
#> 82   -0.3258285075
#> 83   -0.3257916074
#> 84   -0.1978972112
#> 85   -0.1307945344
#> 86   -0.1251270109
#> 87   -0.0034051969
#> 88   -0.1613925564
#> 89   -0.4401626440
#> 90   -0.3497602113
#> 91   -0.2219712723
#> 92   -0.1414462657
#> 93   -0.1079818661
#> 94    0.0281701879
#> 95   -0.0250587394
#> 96   -0.0399934429
#> 97   -0.0373879320
#> 98   -0.2346832019
#> 99   -0.1662939633
#> 100  -0.1947093182
#> 101  -0.1712734574
#> 102  -0.0008299962
#> 103  -0.2178985023
#> 104  -0.2265763939
#> 105  -0.2855629555
#> 106  -0.3082805136
#> 107  -0.2503395586
#> 108  -0.3585871284
#> 109  -0.3877831984
#> 110  -0.3877831984
#> 111  -0.3373194356
#> 112  -0.0503581007
#> 113   0.0561079183
#> 114  -0.0296317597
#> 115   0.0601420610
#> 116   0.1159363991
#> 117  -0.0668139054
#> 118  -0.0788397961
#> 119  -0.0691923348
#> 120   0.1667185601
#> 121   0.2390723093
#> 122   0.3184774264
#> 123   0.2491869981
#> 124   0.3055207589
#> 125   0.2038782098
#> 126   0.1416754132
#> 127   0.1947785492
#> 128   0.0613088660
#> 129   0.0258111274
#> 130  -0.0002967012
#> 131   0.1109864031
#> 132   0.1968870817
#> 133   0.3685810576
#> 134   0.2484171161
#> 135   0.3052935365
#> 136   0.3082079482
#> 137   0.4236186814
#> 138   0.3805941956
#> 139   0.4245599860
#> 140   0.5350773381
#> 141   0.4989143923
#> 142   0.3950827235
#> 143   0.4325464473
#> 144   0.4125372577
#> 145   0.2904661720
#> 146   0.2464664563
#> 147   0.1910816169
#> 148   0.1153787363
#> 149   0.0615838302
#> 150   0.0173471030
#> 151  -0.7559269217
#> 152  -1.8847638992
#> 153  -1.6736736041
#> 154   1.1896431699
#> 155  -1.1059189105
#> 156  -1.3789019817
#> 157   0.9493237310
#> 158   1.1584808985
#> 159   0.3349774164
#> 160   0.2905575307
#> 161  -0.9397772311
#> 162   0.2253274279
#> 163   0.5383610061
#> 164   0.5383610061
#> 165   0.6066760025
#> 166   0.6066760025
#> 167   1.9530057671
#> 168   0.4860138123
#> 169   0.3308117934
#> 170   1.8914157686
#> 171  -0.2360532556
#> 172   0.0441245429
#> 173   0.1874231782
#> 174  -0.6130197988
#> 175  -1.7591669787
#> 176   0.8422852178
#> 177   0.2934514019
#> 178   0.1986118895
#> 179   0.1986118895
#> 180   0.1986118895
#> 181  -0.0515982555
#> 182  -0.7793525916
#> 183   0.6501620569
#> 184   0.6826873940
#> 185   0.6826873940
#> 186  -0.3367626512
#> 187  -0.0969430262
#> 188  -0.0969430262
#> 189   0.2254019336
#> 190  -0.9668636507
#> 191  -0.0077325205
#> 192  -0.0380095363
#> 193  -0.7351347998
#> 194  -0.7029946888
#> 195   0.1156701220
#> 196  -0.0858850176
#> 197  -0.3231724703
#> 198   0.3002231177
#> 199   0.3002231177
#> 200   0.3002231177
#> 201  -0.1747376651
#> 202   0.4429886942
#> 203   0.9207067702
#> 204  -0.4530717567
#> 205  -0.4530717567
#> 206   0.4468642620
#> 207  -0.5133933929
#> 208   0.6250368105
#> 209   0.6250368105
#> 210   0.4088142727
#> 211   1.2012157823
#> 212   0.3980281052
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#> 835  -1.7087903613
#> 836   1.7214423367
#> 837  -1.4090499568
#> 838  -0.3095184498
#> 839  -1.3111010113
#> 840   1.3101301723
#> 841   0.1156220742
#> 842  -0.4965218218
#> 843  -0.4965218218
#> 844  -1.1901670131
#> 845  -1.1073355130
#> 846  -1.1073355130
#> 847   0.8300195748
#> 848   0.4374331793
#> 849  -0.7106297175
#> 850   1.3562320425
#> 851   0.3884799296
#> 852  -0.6243275584
#> 853  -0.1453093643
#> 854  -0.1453093643
#> 855  -0.1453093643
#> 856  -0.1453093643
#> 857   0.5880024522
#> 858   1.1579522965
#> 859  -0.0534583731
#> 860  -0.0534583731
#> 861  -0.0534583731
#> 862   1.1445264071
#> 863   0.9085969034
#> 864   0.4214791541
#> 865   0.4214791541
#> 866  -0.5781481027
#> 867   0.3063795519
#> 868   0.3063795519
#> 869  -0.0895499927
#> 870  -1.8509875467
#> 871   0.2961203431
#> 872  -0.5279426259
#> 873   0.8085233123
#> 874   0.8085233123
#> 875  -1.2037808037
#> 876   2.0250806327
#> 877   0.4557076839
#> 878  -0.6952257386
#> 879   0.1562609593
#> 880   1.6465403222
#> 881  -0.4459160550
#> 882  -0.8027795440
#> 883   0.5393465784
#> 884   0.3949223050
#> 885   0.3949223050
#> 886   0.1386187524
#> 887   0.1386187524
#> 888   0.4994357696
#> 889   1.7026379900
#> 890   0.2180351582
#> 891   0.2480211934
#> 892   1.9071532132
#> 893  -0.4618116838
#> 894   0.1700060095
#> 895   1.6330882174
#> 896   0.8358308217
#> 897   0.8358308217
#> 898  -1.1584394203
#> 899   0.4545194215
#> 900  -1.2680295678
#> 901   0.6818026528
#> 902  -0.6837451894
#> 903   1.9772581380
#> 904  -1.6017778814
#> 905   1.2932537837
#> 906  -1.0279574829
#> 907  -1.0279574829
#> 908  -1.0279574829
#> 909  -1.6078577609
#> 910  -2.3349929058
#> 911  -0.8280746567
#> 912  -0.6525120232
#> 913  -0.1393918304
#> 914  -0.1393918304
#> 915  -0.4117058507
#> 916  -0.4117058507
#> 917   0.4210441333
#> 918   0.3596485383
#> 919   0.3596485383
#> 920  -0.7536244123
#> 921   0.8940004572
#> 922  -1.6555594466
#> 923   0.2931703562
#> 924  -0.7633466059
#> 925  -0.7633466059
#> 926  -0.1014407819
#> 927  -0.1014407819
#> 928   1.0185314663
#> 929  -1.6672920553
#> 930  -1.6214704132
#> 931   0.8729917749
#> 932   1.8471042490
#> 933   1.6199341925
#> 934   1.3224550096
#> 935  -0.1486385709
#> 936   1.6936435174
#> 937  -1.3290341372
#> 938  -1.3290341372
#> 939   0.7689589430
#> 940   0.7689589430
#> 941  -0.8563880278
#> 942  -0.3553180359
#> 943   0.1121765857
#> 944  -0.5571407885
#> 945   0.1992343880
#> 946   0.1992343880
#> 947  -0.2006198140
#> 948   0.1612918765
#> 949  -0.6206833629
#> 950   1.7674967438
#> 951  -2.6649342481
#> 952   0.1072713396
#> 953   0.8644906989
#> 954  -0.1798768271
#> 955   0.2890405863
#> 956   0.0377114587
#> 957  -0.5608332878
#> 958   0.3476960546
#> 959   0.1607632703
#> 960  -1.2099606895
#> 961  -0.2491873826
#> 962  -0.2491107188
#> 963  -0.2491107188
#> 964  -0.2491107188
#> 965  -0.2491107188
#> 966  -0.2664802289
#> 967   0.7532120177
#> 968  -0.3738283853
#> 969  -0.3738283853
#> 970   0.6301699707
#> 971   1.3939262353
#> 972  -1.2640160953
#> 973  -0.0322286355
#> 974  -0.0322286355
#> 975   2.0400866597
#> 976   1.3111522082
#> 977  -1.2309304841
#> 978   1.0739084651
#> 979  -1.0870196393
#> 980  -0.9424473751
#> 981  -0.9424473751
#> 982   0.8511912446
#> 983  -1.6238244609
#> 984   0.5323891395
#> 985   1.0306916001
#> 986   1.8563194018
#> 987  -0.0534678372
#> 988  -0.0534678372
#> 989   0.5131243247
#> 990   0.5131243247
#> 991   0.5131243247
#> 992   0.6379697087
#> 993  -0.4963114725
#> 994   1.5580883660
#> 995   0.5863805429
#> 996  -1.1401080528
#> 997   0.2862406538
#> 998   0.4058882155
#> 999   0.3698887769
#> 1000 -0.2324290409
#> 
#> $`14`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1000 
#> Thinning interval = 1 
#>       normal(0, 1)
#> 1    -1.6076289693
#> 2     1.6124290544
#> 3     0.1966538006
#> 4    -0.8425480276
#> 5     0.7409245233
#> 6     0.7409245233
#> 7    -0.6315423310
#> 8     2.0480032713
#> 9     1.5452516242
#> 10    0.4523191252
#> 11    0.4523191252
#> 12    0.4523191252
#> 13   -1.5112843144
#> 14   -1.2699620699
#> 15    1.1822079132
#> 16    0.9400571291
#> 17   -0.3007210429
#> 18   -0.1755420356
#> 19    0.5742957026
#> 20    0.6868489802
#> 21   -0.5444516664
#> 22   -0.9083403680
#> 23   -0.9083403680
#> 24   -0.9083403680
#> 25    1.3472381245
#> 26    0.3498503833
#> 27   -0.0212121116
#> 28    0.1818730479
#> 29   -0.0509147690
#> 30    0.4404743548
#> 31   -0.7135707290
#> 32   -0.1033713625
#> 33    0.7699007004
#> 34   -0.5128725698
#> 35   -0.5128725698
#> 36    0.8539482630
#> 37    1.5217325482
#> 38   -0.3023240724
#> 39   -0.3023240724
#> 40    0.2457702462
#> 41   -0.4932072419
#> 42    1.0912803803
#> 43   -0.1712367220
#> 44   -0.0235541196
#> 45    1.0873921870
#> 46   -1.1984188323
#> 47    1.1048212645
#> 48   -1.0098832539
#> 49   -0.3084523912
#> 50    0.9178146989
#> 51    0.9291004032
#> 52    0.8478509968
#> 53    0.9646697035
#> 54    0.9051000360
#> 55    0.9832378694
#> 56    1.0428322288
#> 57    1.0353515721
#> 58    0.9741469894
#> 59    0.8780227070
#> 60    0.8722868640
#> 61    0.9842231392
#> 62    0.9517963733
#> 63    1.0534742926
#> 64    1.0724871099
#> 65    1.1727086104
#> 66    1.2378517543
#> 67    1.2885803433
#> 68    1.2443276834
#> 69    1.3527126152
#> 70    1.4267767197
#> 71    1.4020632378
#> 72    1.4162303142
#> 73    1.4096807687
#> 74    1.4356855999
#> 75    1.4186215586
#> 76    1.5287255079
#> 77    1.4896246386
#> 78    1.6447336313
#> 79    1.5067275770
#> 80    1.3804308534
#> 81    1.3869850826
#> 82    1.4661223917
#> 83    1.4992367363
#> 84    1.4646820037
#> 85    1.5440797425
#> 86    1.4554483046
#> 87    1.5172998581
#> 88    1.5652779683
#> 89    1.4276959086
#> 90    1.6105729324
#> 91    1.5941332502
#> 92    1.5399791619
#> 93    1.6015433434
#> 94    1.5526136108
#> 95    1.5069742269
#> 96    1.6414457428
#> 97    1.4031278998
#> 98    1.2949034994
#> 99    1.1855599898
#> 100   1.3278788815
#> 101   1.3908616766
#> 102   1.4283111694
#> 103   1.4208546390
#> 104   1.5762983138
#> 105   1.5128979708
#> 106   1.5117263114
#> 107   1.5596626688
#> 108   1.3457994392
#> 109   1.2570607739
#> 110   1.2139057890
#> 111   1.2522229147
#> 112   1.3043498670
#> 113   1.3892917703
#> 114   1.4471328155
#> 115   1.5564835564
#> 116   1.4958342691
#> 117   1.6482391977
#> 118   1.6185686599
#> 119   1.6792135479
#> 120   1.6542672763
#> 121   1.5504195113
#> 122   1.6981102219
#> 123   1.6553866762
#> 124   1.6253233948
#> 125   1.5433020500
#> 126   1.6807451016
#> 127   1.6548126576
#> 128   1.6893459149
#> 129   1.7238950144
#> 130   1.8875616524
#> 131   1.7571743935
#> 132   1.5154848950
#> 133   1.6081669491
#> 134   1.5744485369
#> 135   1.3991287375
#> 136   1.3766268946
#> 137   1.4190079550
#> 138   1.2684805977
#> 139   1.2753809098
#> 140   1.2671636217
#> 141   1.2851842574
#> 142   1.2308532540
#> 143   1.2434269517
#> 144   1.3867748196
#> 145   1.6070470725
#> 146   1.6958001127
#> 147   1.4881509410
#> 148   1.5151068151
#> 149   1.4384523496
#> 150   1.3295837920
#> 151   1.3295837920
#> 152  -1.0817258301
#> 153  -1.4663350492
#> 154  -0.2370599655
#> 155   1.0782124745
#> 156   1.0782124745
#> 157   2.1492666044
#> 158   0.9323520398
#> 159   0.4407740367
#> 160   2.9241071702
#> 161  -0.2370748429
#> 162   0.9743288874
#> 163  -0.5462319784
#> 164   2.1721288923
#> 165  -0.2879987142
#> 166   0.3717173226
#> 167   0.3717173226
#> 168   0.3717173226
#> 169   0.6680361506
#> 170   0.2991664712
#> 171   0.2991664712
#> 172  -0.3690756527
#> 173  -0.3690756527
#> 174  -0.3690756527
#> 175   0.5816061451
#> 176  -0.6172901789
#> 177   0.7154952413
#> 178   0.6368476094
#> 179  -1.1727220035
#> 180   1.0247015215
#> 181  -0.1230238846
#> 182  -0.1230238846
#> 183  -0.1230238846
#> 184   0.5510660819
#> 185   0.5510660819
#> 186  -1.2994524663
#> 187  -0.9649645808
#> 188   0.7314554301
#> 189  -0.1309794901
#> 190  -0.1309794901
#> 191  -0.1309794901
#> 192  -0.1309794901
#> 193  -0.1309794901
#> 194  -0.1309794901
#> 195  -0.1309794901
#> 196   0.5243782178
#> 197  -0.1785138066
#> 198   0.3006862863
#> 199   1.5374723330
#> 200  -0.5743983094
#> 201   1.4510306924
#> 202  -1.9443783155
#> 203  -0.6043080733
#> 204   0.1275813816
#> 205   0.1275813816
#> 206   0.1275813816
#> 207  -0.5335938583
#> 208  -0.8060045435
#> 209   0.4125179427
#> 210  -0.5550803736
#> 211   0.3835074816
#> 212  -0.6129707443
#> 213   1.3054627149
#> 214   0.8618877668
#> 215  -0.6916987782
#> 216   0.7162884519
#> 217   0.7162884519
#> 218  -0.0376382363
#> 219  -0.0376382363
#> 220   0.3016478669
#> 221   0.9093420032
#> 222   0.6203054785
#> 223   1.0520262603
#> 224   1.2593921777
#> 225   0.5374359738
#> 226   0.5095101941
#> 227  -0.7838391323
#> 228  -1.4518559475
#> 229   0.3065936397
#> 230  -0.8724091146
#> 231  -0.0884990333
#> 232  -0.1211555678
#> 233   0.1491099338
#> 234   0.7850111046
#> 235   0.7274970055
#> 236  -1.8206059541
#> 237   0.9826538437
#> 238  -2.0461557348
#> 239   0.0898015210
#> 240   0.0898015210
#> 241   0.4429099995
#> 242  -0.2814030096
#> 243  -0.1445136788
#> 244  -0.1445136788
#> 245   0.3161679217
#> 246  -1.2465506846
#> 247   0.0531006703
#> 248  -0.7240557346
#> 249   0.6642212163
#> 250  -0.7208228089
#> 251   1.5685701254
#> 252  -0.7383875663
#> 253   0.5119766433
#> 254  -1.6906627509
#> 255  -1.6626489098
#> 256   0.7677875030
#> 257   0.4173150096
#> 258   0.4173150096
#> 259   0.1149576428
#> 260   0.3909338872
#> 261  -0.9230669023
#> 262   0.3330947756
#> 263   0.8798377120
#> 264   0.2621956922
#> 265   0.5118395875
#> 266   0.3480994591
#> 267   0.3480994591
#> 268  -0.0612782039
#> 269  -0.0612782039
#> 270  -1.5361595998
#> 271   1.4013065399
#> 272   0.1585393705
#> 273  -1.1579049998
#> 274   1.7234280363
#> 275  -1.0124278100
#> 276   1.7016731374
#> 277  -0.7140089254
#> 278  -0.9731933302
#> 279  -0.9731933302
#> 280   0.0082161966
#> 281   0.5619600246
#> 282  -1.2852418714
#> 283   0.2027910762
#> 284  -0.4448387801
#> 285  -0.1695289548
#> 286  -0.4005822722
#> 287  -0.2672885519
#> 288   0.1557329213
#> 289   0.3266183718
#> 290  -1.0604295677
#> 291  -0.9982336735
#> 292  -1.3333471705
#> 293  -1.3333471705
#> 294  -0.4435394292
#> 295  -1.6045171319
#> 296  -1.6045171319
#> 297   0.1984651687
#> 298   0.8318627028
#> 299  -1.2427112169
#> 300  -1.2427112169
#> 301  -1.2128255478
#> 302  -1.2993559470
#> 303  -1.5519692383
#> 304  -1.5747544375
#> 305  -1.5383471124
#> 306  -1.6677292878
#> 307  -1.6672644721
#> 308  -1.6024121474
#> 309  -1.5694829551
#> 310  -1.6676628849
#> 311  -1.6838696776
#> 312  -1.7434264243
#> 313  -1.8427375603
#> 314  -1.8388400829
#> 315  -1.9265809542
#> 316  -1.8405441870
#> 317  -1.9163194729
#> 318  -1.8626619545
#> 319  -1.8985573426
#> 320  -2.0357481615
#> 321  -2.0464253611
#> 322  -2.1732643584
#> 323  -2.1990251065
#> 324  -2.1373088243
#> 325  -2.0934756521
#> 326  -2.0596471446
#> 327  -2.0055871883
#> 328  -1.8891826482
#> 329  -1.8977226225
#> 330  -1.9112602072
#> 331  -1.9181872202
#> 332  -1.8800874717
#> 333  -1.8084713188
#> 334  -1.8459037433
#> 335  -1.7230339134
#> 336  -1.5459588741
#> 337  -1.5189233518
#> 338  -1.6006245430
#> 339  -1.5120763253
#> 340  -1.5635617078
#> 341  -1.6371511446
#> 342  -1.7693328318
#> 343  -1.7409954515
#> 344  -1.6852180030
#> 345  -1.7554487392
#> 346  -1.7933997271
#> 347  -1.7436827067
#> 348  -1.7385504327
#> 349  -1.7307616356
#> 350  -1.8101088261
#> 351  -1.6551260957
#> 352  -0.6173780852
#> 353  -0.6173780852
#> 354   1.1187796859
#> 355   0.4187552941
#> 356  -1.4189068397
#> 357  -1.1140473281
#> 358   0.7582288368
#> 359   2.4000828557
#> 360  -0.3451499132
#> 361   0.0924938345
#> 362  -1.0165041782
#> 363   0.7413701977
#> 364  -1.3387947757
#> 365   0.7259567563
#> 366  -0.8058219173
#> 367  -1.8006649039
#> 368  -1.5873867831
#> 369  -0.5438920415
#> 370   0.5446206822
#> 371  -0.1813205194
#> 372   0.6416172669
#> 373  -0.3766415342
#> 374  -0.6022135915
#> 375  -0.1778269683
#> 376   1.2106176871
#> 377   0.2324746720
#> 378  -0.2659053405
#> 379  -1.1641837819
#> 380   1.7690650476
#> 381  -0.2517742779
#> 382  -0.2517742779
#> 383  -0.2517742779
#> 384   1.0916557065
#> 385   2.0117058150
#> 386  -2.1253670544
#> 387   1.6282533249
#> 388  -0.0560258273
#> 389  -0.1193471367
#> 390  -0.9514177636
#> 391   0.0139049971
#> 392   0.0139049971
#> 393  -1.0511177239
#> 394   1.1708882797
#> 395  -1.5762187685
#> 396   0.6882150449
#> 397  -1.1506443681
#> 398  -1.9102522150
#> 399   1.4714633186
#> 400  -2.2101092922
#> 401  -2.1890791147
#> 402  -2.1946149271
#> 403  -2.1733637363
#> 404  -2.1629304465
#> 405  -2.1673897272
#> 406  -2.1271676966
#> 407  -2.1297640053
#> 408  -2.0917721613
#> 409  -2.1701254929
#> 410  -2.2000819778
#> 411  -2.2555158436
#> 412  -2.2144936638
#> 413  -2.0328765809
#> 414  -2.0812866919
#> 415  -2.0025700950
#> 416  -1.9722757017
#> 417  -1.9999422705
#> 418  -2.0221862451
#> 419  -1.9293888184
#> 420  -1.9786828146
#> 421  -2.1266358307
#> 422  -2.1636928855
#> 423  -2.0833082575
#> 424  -2.0551369363
#> 425  -1.9937659008
#> 426  -2.1120451023
#> 427  -2.2075572006
#> 428  -2.1933321129
#> 429  -2.2147188989
#> 430  -2.1409566833
#> 431  -2.0900259163
#> 432  -1.9834664422
#> 433  -1.9166179060
#> 434  -1.9373977706
#> 435  -1.9406347641
#> 436  -1.9366896495
#> 437  -1.9572171530
#> 438  -1.8882081507
#> 439  -1.9152195151
#> 440  -1.7885253233
#> 441  -1.7180282281
#> 442  -1.7921842212
#> 443  -1.7859820238
#> 444  -1.7372195969
#> 445  -1.6702635784
#> 446  -1.6591112118
#> 447  -1.5948871397
#> 448  -1.7962353793
#> 449  -1.8975079073
#> 450  -1.8856486091
#> 451  -1.1228824269
#> 452  -0.0036285632
#> 453   2.2823168840
#> 454   1.1599901154
#> 455  -0.6697705033
#> 456  -0.6697705033
#> 457   0.6333385450
#> 458  -0.2302461868
#> 459   1.0088263151
#> 460  -0.2871878046
#> 461   0.2123368703
#> 462  -0.4811985921
#> 463   0.3654989999
#> 464  -0.4398303434
#> 465  -0.4398303434
#> 466   2.0489398555
#> 467  -1.4062500545
#> 468  -0.5840477210
#> 469  -0.0569245901
#> 470  -0.9906827526
#> 471  -0.7429310649
#> 472   1.4960228395
#> 473   1.6559797771
#> 474  -0.7756798344
#> 475  -0.8949930366
#> 476   0.8064015872
#> 477   2.1903210668
#> 478  -0.3283450119
#> 479  -0.5568550616
#> 480  -0.3568610050
#> 481   0.6196811721
#> 482   0.4019403028
#> 483   0.4019403028
#> 484  -0.5077779564
#> 485   0.7972033672
#> 486   1.3678353710
#> 487  -0.3734816541
#> 488   1.1408479854
#> 489   1.5417898995
#> 490   1.5417898995
#> 491   0.2844732683
#> 492  -0.0958322546
#> 493  -1.7054100328
#> 494   0.9771224033
#> 495  -1.2142132792
#> 496  -0.3200751885
#> 497   0.7683449889
#> 498   1.1261257111
#> 499  -1.3255989947
#> 500   0.3402415238
#> 501  -0.6880889790
#> 502   0.9294175507
#> 503  -0.3304572994
#> 504  -0.3304572994
#> 505  -1.0150901605
#> 506   1.4175038301
#> 507  -0.0966480431
#> 508  -1.1837640302
#> 509   0.7198014696
#> 510   0.9743117260
#> 511   0.9087312956
#> 512   0.5222889207
#> 513   1.5401110451
#> 514  -0.1770342586
#> 515   0.7563126282
#> 516  -1.1470885484
#> 517  -1.1701798095
#> 518   0.0639395880
#> 519  -1.8753550823
#> 520   0.7958093802
#> 521   0.7526516693
#> 522  -1.3794431439
#> 523   0.2042574709
#> 524   0.5043802972
#> 525  -0.6434581827
#> 526  -0.6434581827
#> 527   0.1468622628
#> 528   0.8859717154
#> 529  -0.3476727182
#> 530  -0.3476727182
#> 531  -0.5276913170
#> 532  -1.3198144392
#> 533  -0.5373605972
#> 534  -0.5373605972
#> 535  -0.1308320637
#> 536   0.2403640595
#> 537   0.2403640595
#> 538  -0.7745704530
#> 539  -1.1037197749
#> 540   1.3110222218
#> 541  -0.0124871022
#> 542  -0.0124871022
#> 543  -1.4984454174
#> 544  -2.0973862910
#> 545  -1.0334468396
#> 546  -0.1599753647
#> 547  -0.3008143359
#> 548   0.2482162574
#> 549   0.2482162574
#> 550   1.9003487835
#> 551   1.9339768002
#> 552   1.8315435818
#> 553   1.7893982547
#> 554   1.5630647873
#> 555   1.4872662952
#> 556   1.5291831321
#> 557   1.6053086965
#> 558   1.6415654114
#> 559   1.6517272284
#> 560   1.6328968410
#> 561   1.6756768993
#> 562   1.6118979997
#> 563   1.7504695433
#> 564   1.6115092556
#> 565   1.5725147736
#> 566   1.4949522568
#> 567   1.4248726711
#> 568   1.4749059446
#> 569   1.3512246104
#> 570   1.4483381488
#> 571   1.3578691696
#> 572   1.3165659494
#> 573   1.2574266562
#> 574   1.0674059273
#> 575   1.1120506188
#> 576   1.2300006302
#> 577   1.3221106653
#> 578   1.3301472191
#> 579   1.3060633227
#> 580   1.2934520622
#> 581   1.3987306542
#> 582   1.5880280385
#> 583   1.5377602922
#> 584   1.5038445503
#> 585   1.7497333525
#> 586   1.7133067956
#> 587   1.8606974259
#> 588   2.0015630412
#> 589   1.9749246899
#> 590   1.9062066939
#> 591   1.8879794402
#> 592   1.8899836437
#> 593   1.8117916458
#> 594   1.6721161096
#> 595   1.6197466773
#> 596   1.7064168516
#> 597   1.7278625414
#> 598   1.8027474696
#> 599   1.8571956408
#> 600   1.8097582199
#> 601   1.8391193217
#> 602   1.7937691008
#> 603   1.7030503911
#> 604   1.6099006309
#> 605   1.7011611589
#> 606   1.7509189217
#> 607   1.8358932183
#> 608   1.8241486505
#> 609   1.8704416812
#> 610   1.8628910196
#> 611   1.9073355918
#> 612   1.9115937109
#> 613   2.0110141633
#> 614   2.0375131896
#> 615   2.0999229469
#> 616   2.1954921419
#> 617   2.0702835020
#> 618   1.9856467839
#> 619   1.9470853682
#> 620   1.9761752772
#> 621   2.1180332661
#> 622   2.1993761903
#> 623   2.2025839017
#> 624   2.1318604416
#> 625   2.0633191167
#> 626   2.1343788808
#> 627   2.1641414370
#> 628   2.1511137938
#> 629   2.3816166589
#> 630   2.3529081655
#> 631   2.3239791998
#> 632   2.2302840442
#> 633   2.1485041604
#> 634   2.1416863925
#> 635   2.0719824397
#> 636   2.0737967056
#> 637   2.1972663347
#> 638   2.2376806616
#> 639   2.2198389861
#> 640   2.1497997752
#> 641   2.0669636747
#> 642   2.2936063000
#> 643   2.2800912808
#> 644   2.1825691385
#> 645   2.0956915157
#> 646   2.0626635539
#> 647   2.0546870855
#> 648   2.1491629387
#> 649   2.0338504949
#> 650   1.9808754502
#> 651   0.7687516075
#> 652  -0.9566819788
#> 653  -0.9566819788
#> 654  -1.0742388637
#> 655   0.6749738998
#> 656   1.0683440813
#> 657  -0.0749117203
#> 658  -0.7451054550
#> 659  -0.2812806059
#> 660   0.7761037725
#> 661   0.7761037725
#> 662   0.3817704297
#> 663   0.1857697665
#> 664  -0.7933633775
#> 665   0.9803210322
#> 666   0.4655871745
#> 667  -1.5890290978
#> 668  -1.6537600443
#> 669  -1.1491847603
#> 670   1.6929423961
#> 671   0.5092729762
#> 672   0.1353108955
#> 673   0.1353108955
#> 674   0.6000533616
#> 675   0.2791985584
#> 676   0.2791985584
#> 677   1.0022421737
#> 678  -1.9157973047
#> 679   1.3894911799
#> 680  -2.5050265164
#> 681  -0.0999429265
#> 682   0.4884149234
#> 683   0.8949857910
#> 684  -0.5818704455
#> 685   0.2449817965
#> 686   1.5402794792
#> 687  -2.4563284954
#> 688  -0.7111621813
#> 689  -0.7111621813
#> 690  -1.7803549351
#> 691   0.1924441686
#> 692   2.1230278667
#> 693  -2.1897576243
#> 694  -0.2767033088
#> 695  -0.7002330862
#> 696   1.1001762711
#> 697  -0.0530173191
#> 698  -0.2783583508
#> 699   0.4890842824
#> 700   0.4890842824
#> 701  -1.3105083811
#> 702   2.1197064359
#> 703  -1.7575378183
#> 704  -0.0124025169
#> 705  -0.3145128150
#> 706  -0.4093626611
#> 707  -0.9391815817
#> 708  -0.9391815817
#> 709  -1.0046453731
#> 710   1.5089406751
#> 711   1.0371116918
#> 712   0.4956399799
#> 713   0.3315782377
#> 714   0.9825693332
#> 715   0.7897525002
#> 716   0.7897525002
#> 717  -0.9642535780
#> 718   0.9574301405
#> 719  -0.5687275038
#> 720  -0.5687275038
#> 721   0.2070209122
#> 722   0.2070209122
#> 723  -0.4565572389
#> 724  -0.4071807554
#> 725  -1.5148884329
#> 726   0.2970503484
#> 727   0.2970503484
#> 728   2.3444484081
#> 729  -2.2649281778
#> 730  -0.4361315212
#> 731  -0.4361315212
#> 732   1.6311454583
#> 733   0.7464911777
#> 734   0.0789744788
#> 735   0.0789744788
#> 736  -0.5917106524
#> 737  -0.5917106524
#> 738  -0.3609761986
#> 739  -0.3609761986
#> 740  -1.8015313314
#> 741   1.7512334073
#> 742   1.2095385327
#> 743  -1.4337736176
#> 744  -1.7944196419
#> 745  -0.0745059280
#> 746  -0.1952052818
#> 747  -0.1952052818
#> 748   0.2118564118
#> 749  -0.8150957537
#> 750  -0.3143827751
#> 751  -0.3241381176
#> 752  -0.3579892394
#> 753  -0.2458494263
#> 754  -0.2462056061
#> 755  -0.2201246962
#> 756  -0.2339912174
#> 757  -0.2307333086
#> 758  -0.2505921524
#> 759  -0.3149555408
#> 760  -0.3362999226
#> 761  -0.3563417743
#> 762  -0.3301656658
#> 763  -0.2970284602
#> 764  -0.3382084952
#> 765  -0.2947616855
#> 766  -0.2472588920
#> 767  -0.2881015573
#> 768  -0.3042267200
#> 769  -0.2857697753
#> 770  -0.2597875825
#> 771  -0.1942664511
#> 772  -0.1196884364
#> 773  -0.1208889039
#> 774  -0.0584549112
#> 775   0.0234640167
#> 776   0.0292193961
#> 777   0.1413612967
#> 778   0.1546564364
#> 779   0.1222463128
#> 780   0.0977701315
#> 781   0.1274407449
#> 782   0.0593924365
#> 783   0.0352227712
#> 784   0.0575091041
#> 785   0.0143487173
#> 786   0.0028608796
#> 787   0.0727342261
#> 788   0.1074595848
#> 789   0.1263411303
#> 790   0.0072866175
#> 791  -0.0001207253
#> 792   0.0346839534
#> 793   0.1507195581
#> 794   0.0588079864
#> 795  -0.1388836286
#> 796  -0.0655396985
#> 797  -0.1993542404
#> 798   0.0068351657
#> 799   0.0373877847
#> 800   0.0315501978
#> 801   0.0315501978
#> 802   0.6687450120
#> 803   0.1884130787
#> 804   0.1884130787
#> 805   1.2498493025
#> 806  -0.4213326920
#> 807   0.6378852736
#> 808   0.6378852736
#> 809   0.6378852736
#> 810  -0.2276343533
#> 811   0.9238697061
#> 812  -0.0776989677
#> 813   1.5418666316
#> 814   1.9514259351
#> 815   1.2375016402
#> 816   1.1504601226
#> 817  -0.7130682219
#> 818   1.1423010622
#> 819  -1.1188944317
#> 820  -0.6690019915
#> 821  -0.1676284046
#> 822   0.6382160258
#> 823   1.0653079208
#> 824  -2.3470715100
#> 825  -0.6277002718
#> 826  -0.6277002718
#> 827   1.3510440460
#> 828   1.2337047883
#> 829  -1.2028909787
#> 830   1.1090031365
#> 831  -0.4222336749
#> 832  -2.4951398574
#> 833  -2.4951398574
#> 834   1.2025706223
#> 835  -0.5510447285
#> 836  -1.4241754759
#> 837   1.1664736145
#> 838   1.1664736145
#> 839   0.5511390453
#> 840   0.5511390453
#> 841  -1.7866593178
#> 842  -0.5394357371
#> 843   1.5064014968
#> 844  -0.9708070840
#> 845  -0.9708070840
#> 846  -0.5373578536
#> 847  -0.3235176372
#> 848   0.9053027047
#> 849  -0.6789856015
#> 850  -1.0857820205
#> 851  -0.8348039619
#> 852  -0.4016383189
#> 853   0.5602351195
#> 854   0.9329590077
#> 855   0.6368156157
#> 856   0.6029023727
#> 857  -0.3901587387
#> 858  -0.0528815584
#> 859  -0.2528744028
#> 860  -0.2528744028
#> 861  -0.2528744028
#> 862   1.0943447883
#> 863  -1.7715967472
#> 864  -2.5701975641
#> 865   2.6047542982
#> 866  -1.5686624790
#> 867  -0.1925845619
#> 868   0.5558522594
#> 869  -0.1617415304
#> 870   0.2339765023
#> 871   1.4056820139
#> 872   0.0728034358
#> 873  -2.6088613552
#> 874  -1.1318389493
#> 875  -0.7265475673
#> 876  -0.3959790982
#> 877   1.1112333016
#> 878   1.1112333016
#> 879  -0.2542474585
#> 880  -0.2542474585
#> 881   1.2189918293
#> 882  -1.4738224340
#> 883   0.3182064396
#> 884   0.3182064396
#> 885   0.3565260814
#> 886   0.6123395746
#> 887   0.3095993959
#> 888  -0.9758183515
#> 889  -0.6563426937
#> 890   0.4949692855
#> 891   0.4949692855
#> 892   1.1837308261
#> 893  -0.9426225583
#> 894  -1.3359372583
#> 895  -1.5339824244
#> 896  -1.5339824244
#> 897  -1.7649698941
#> 898  -0.3998829686
#> 899  -0.0489746859
#> 900  -0.9433226915
#> 901   1.0507228810
#> 902  -2.1788502942
#> 903   0.4083014757
#> 904   0.7942375314
#> 905   0.3431521203
#> 906   0.2777340944
#> 907   0.2777340944
#> 908   0.2077757203
#> 909  -0.4030593495
#> 910  -0.4273807005
#> 911   1.0954248961
#> 912  -0.1280152437
#> 913   0.9210721668
#> 914  -0.5194542908
#> 915  -1.4300422136
#> 916  -1.4300422136
#> 917   0.2283802196
#> 918  -0.4440386710
#> 919  -1.1333387146
#> 920   2.8098269389
#> 921   0.7575304773
#> 922  -0.4127450776
#> 923  -0.2352171088
#> 924   0.2438440803
#> 925  -0.8323940168
#> 926  -0.5993074120
#> 927   1.9812857663
#> 928   0.7977247383
#> 929   1.3730651632
#> 930   1.5157347438
#> 931  -0.1985450066
#> 932  -0.8555551621
#> 933   1.9985425803
#> 934   0.0735453124
#> 935   0.4908273648
#> 936   0.4919481344
#> 937   0.2522289251
#> 938   0.2522289251
#> 939   0.0595778197
#> 940  -0.6904145275
#> 941  -1.4899490506
#> 942  -0.9376832615
#> 943  -0.9376832615
#> 944  -2.2699131106
#> 945   0.3248719206
#> 946   0.3513614753
#> 947   0.3513614753
#> 948  -0.4737666750
#> 949   0.8273509247
#> 950   0.7495367705
#> 951   0.7495367705
#> 952   0.2341622969
#> 953   0.2341622969
#> 954  -1.9857568520
#> 955  -0.8391254578
#> 956  -0.3675141707
#> 957  -1.3413498722
#> 958  -0.4300766606
#> 959   0.8320581182
#> 960  -0.8279517527
#> 961  -0.8279517527
#> 962   0.7031831874
#> 963  -0.9819626298
#> 964   0.0054936391
#> 965   0.7943900257
#> 966  -0.0373252454
#> 967  -0.7317920184
#> 968   1.2922073294
#> 969  -0.0851617056
#> 970  -0.4197406593
#> 971   0.7213141427
#> 972  -1.4235333362
#> 973   0.4807599872
#> 974   0.4807599872
#> 975   0.1289378694
#> 976  -2.0826452115
#> 977   1.1835972316
#> 978  -0.7558921163
#> 979  -0.9115304675
#> 980  -0.8235949187
#> 981   1.0093907596
#> 982  -0.2205712057
#> 983  -0.1637793895
#> 984   0.7496270880
#> 985   0.9495909525
#> 986   1.3925595666
#> 987  -0.3905325183
#> 988   0.1514871241
#> 989   0.4842126711
#> 990  -0.1648761758
#> 991  -0.1648761758
#> 992  -1.0426602725
#> 993   1.7752262267
#> 994   0.5622287026
#> 995  -2.1918169130
#> 996  -2.1918169130
#> 997  -0.4938964466
#> 998  -1.3851131247
#> 999   2.0578279595
#> 1000 -0.3310950139
#> 
#> attr(,"class")
#> [1] "greta_mcmc_list" "mcmc.list"      
#> attr(,"model_info")
#> attr(,"model_info")$raw_draws
#> $`11`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1000 
#> Thinning interval = 1 
#>              draws
#> 1    -0.1189094406
#> 2    -0.2844035421
#> 3     0.1018271149
#> 4     0.0501007564
#> 5     0.3771705114
#> 6     1.7436541842
#> 7    -0.5823314261
#> 8     1.5517687078
#> 9    -0.8421635912
#> 10    1.5133890745
#> 11    1.0485850640
#> 12    0.5935334790
#> 13    0.9299445141
#> 14    1.4413763376
#> 15    0.1446442143
#> 16    0.2303953779
#> 17    1.1585832513
#> 18    0.4263466396
#> 19    0.4263466396
#> 20    0.1156374931
#> 21    0.1156374931
#> 22    0.1156374931
#> 23   -0.3076628984
#> 24    0.1550152136
#> 25   -0.0796780840
#> 26   -0.3379283805
#> 27    0.3251459109
#> 28    1.5053016132
#> 29    1.5053016132
#> 30   -0.5574995021
#> 31   -1.6850630517
#> 32   -0.2762005712
#> 33    0.1755323966
#> 34    0.0719150468
#> 35    0.0719150468
#> 36   -1.3426485354
#> 37   -1.3426485354
#> 38   -0.6898025732
#> 39   -0.5368879690
#> 40   -1.9435806919
#> 41    1.8715397938
#> 42   -1.2113317594
#> 43    0.9068445904
#> 44    0.9068445904
#> 45    1.0663757766
#> 46    0.3335567101
#> 47    0.3335567101
#> 48    0.5454597973
#> 49    0.0027189232
#> 50    0.3123283765
#> 51    0.2796331985
#> 52    0.3702654449
#> 53    0.4285266926
#> 54    0.5615024848
#> 55    0.5032130489
#> 56    0.4459300958
#> 57    0.2814055244
#> 58    0.2496261581
#> 59    0.2144630843
#> 60    0.2426983197
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#> 685  -0.2553638115
#> 686   1.9733924495
#> 687  -0.8564228153
#> 688   0.1657302851
#> 689  -1.2040760775
#> 690  -0.2235279007
#> 691   0.8164161991
#> 692   0.8164161991
#> 693  -0.1496990828
#> 694  -2.4381433074
#> 695  -0.6443748174
#> 696   0.2210359835
#> 697  -1.6459875044
#> 698  -1.2328195740
#> 699   0.2927463467
#> 700   0.6596548803
#> 701   0.6596548803
#> 702   0.6596548803
#> 703   0.8446787751
#> 704  -1.0999575604
#> 705   0.5088901124
#> 706  -0.1175949479
#> 707   0.3079499327
#> 708  -1.8945793703
#> 709  -1.1166681803
#> 710   0.3352251637
#> 711  -0.7843837576
#> 712   0.8069685823
#> 713  -0.7276660366
#> 714  -0.2292468859
#> 715  -0.2292468859
#> 716   0.4158798293
#> 717   0.5479894308
#> 718   0.4965487812
#> 719   0.4851900724
#> 720  -0.5454208674
#> 721  -0.6611797993
#> 722  -0.2937313531
#> 723  -0.2937313531
#> 724  -0.2937313531
#> 725  -0.0448631522
#> 726   0.0917887277
#> 727   0.0917887277
#> 728  -1.1911071407
#> 729   0.5423164142
#> 730  -1.7980714786
#> 731  -0.8038887783
#> 732   0.6091583029
#> 733   0.6091583029
#> 734   0.6091583029
#> 735   0.0969332669
#> 736   0.0969332669
#> 737   0.4885747944
#> 738   0.4005419250
#> 739   1.7343921394
#> 740   0.4855716449
#> 741   0.4855716449
#> 742   1.0347561125
#> 743   0.5384957730
#> 744   0.4107705083
#> 745   0.8159732854
#> 746   0.8599286559
#> 747   1.7871417241
#> 748  -0.9738874459
#> 749  -1.6304511399
#> 750  -1.4136112582
#> 751  -1.3701461530
#> 752  -1.3490196206
#> 753  -1.2587285483
#> 754  -1.2311712850
#> 755  -1.1954948497
#> 756  -1.2829847846
#> 757  -1.2760663292
#> 758  -1.2628860860
#> 759  -1.2299298767
#> 760  -1.2518495684
#> 761  -1.3458493235
#> 762  -1.3172894197
#> 763  -1.3005486285
#> 764  -1.3603889113
#> 765  -1.2829019708
#> 766  -1.3459371913
#> 767  -1.3574655470
#> 768  -1.3201235177
#> 769  -1.3673496920
#> 770  -1.2640469549
#> 771  -1.1097555809
#> 772  -1.0789876156
#> 773  -1.0645240040
#> 774  -1.0534805151
#> 775  -1.0944131404
#> 776  -1.1168610404
#> 777  -1.2460657267
#> 778  -1.3136878515
#> 779  -1.2999084130
#> 780  -1.2220619564
#> 781  -1.2943025990
#> 782  -1.2887703823
#> 783  -1.1807775096
#> 784  -1.2296887093
#> 785  -1.2817130333
#> 786  -1.2621116074
#> 787  -1.2351338053
#> 788  -1.1566564589
#> 789  -1.1551768801
#> 790  -1.1547261844
#> 791  -1.1241462373
#> 792  -1.1200822231
#> 793  -1.1392896682
#> 794  -1.1460633483
#> 795  -1.2002448238
#> 796  -1.2851547276
#> 797  -1.2669977341
#> 798  -1.3140605640
#> 799  -1.3206269241
#> 800  -1.2201052121
#> 801  -1.2201052121
#> 802   1.1091996746
#> 803  -1.1033364534
#> 804  -1.8142355551
#> 805  -0.5943879146
#> 806  -0.5943879146
#> 807   1.8743832851
#> 808  -0.1959114528
#> 809   1.1518788719
#> 810   1.4470102995
#> 811  -0.7004111277
#> 812   0.8603680389
#> 813   0.8603680389
#> 814   0.3186020882
#> 815   0.6608935089
#> 816   0.7390145634
#> 817  -0.0693003582
#> 818  -0.0693003582
#> 819  -0.0693003582
#> 820  -3.1630692219
#> 821   1.8936326299
#> 822   0.4446070556
#> 823  -0.8127225457
#> 824   0.6932035619
#> 825   0.8794941981
#> 826   0.8794941981
#> 827  -0.9445500921
#> 828  -0.9445500921
#> 829  -1.6056343478
#> 830  -2.2355484025
#> 831   0.5828214223
#> 832   1.5149007257
#> 833  -1.0999103856
#> 834   0.8485287574
#> 835   0.3322724667
#> 836   0.3322724667
#> 837   0.9288337090
#> 838  -1.3998015953
#> 839  -0.2868257301
#> 840  -0.2868257301
#> 841  -0.5721562971
#> 842  -0.7161343192
#> 843  -1.5675091305
#> 844  -1.5675091305
#> 845   0.5423309719
#> 846  -1.2481731435
#> 847  -0.3085048992
#> 848  -1.0022403886
#> 849  -1.0022403886
#> 850   0.2542598841
#> 851   0.1517001525
#> 852   0.1517001525
#> 853   0.0363325039
#> 854   2.4421209906
#> 855   1.0995777015
#> 856   0.8035431402
#> 857   0.8035431402
#> 858   1.6485481386
#> 859  -0.1719799803
#> 860   1.5364099834
#> 861   1.3257174575
#> 862   0.9176221903
#> 863  -0.0458012560
#> 864  -0.0458012560
#> 865   1.5642754895
#> 866   1.0912256820
#> 867   0.0661565454
#> 868   0.6285207503
#> 869  -1.4129438196
#> 870   0.0420706971
#> 871   1.8174318294
#> 872  -0.6060668046
#> 873   0.1419597190
#> 874   1.2541850561
#> 875  -0.7391133043
#> 876  -0.5776521676
#> 877   0.9130517631
#> 878  -0.6300064096
#> 879  -0.1856860887
#> 880  -0.8415125798
#> 881  -0.8415125798
#> 882  -1.1320395939
#> 883  -0.6087070531
#> 884  -0.6087070531
#> 885  -0.0394772980
#> 886  -0.0394772980
#> 887  -1.9021542872
#> 888   0.0539298079
#> 889  -0.1548045340
#> 890  -0.8626396930
#> 891  -0.6030572781
#> 892   1.2281398661
#> 893  -0.1985325701
#> 894  -0.3544960646
#> 895  -0.7548033254
#> 896   0.4906756121
#> 897  -1.9317347563
#> 898  -0.0862530781
#> 899   0.3144470513
#> 900   0.3144470513
#> 901   1.9293546130
#> 902   1.5526529148
#> 903  -0.5327867859
#> 904   1.6237896643
#> 905  -0.0567728887
#> 906   0.9055065784
#> 907   0.7994356738
#> 908   1.8472741248
#> 909  -0.8515462035
#> 910   0.9759297641
#> 911  -1.8283213616
#> 912  -1.9349871336
#> 913  -1.3977801994
#> 914   0.8489621409
#> 915  -0.9967999097
#> 916  -0.0659640067
#> 917   0.8562428472
#> 918   0.6510446958
#> 919  -0.8162725650
#> 920  -0.8162725650
#> 921  -0.8162725650
#> 922  -0.8162725650
#> 923   0.1046817859
#> 924   0.4477712393
#> 925  -2.0044360914
#> 926   0.0583954746
#> 927   0.5193133109
#> 928  -1.6570491890
#> 929   2.5136823432
#> 930   1.3224272003
#> 931  -1.3123829016
#> 932   1.2218557874
#> 933   1.2218557874
#> 934  -1.2137141647
#> 935  -0.5032466497
#> 936   1.8220624647
#> 937  -3.1865694208
#> 938   0.9208729483
#> 939   0.9208729483
#> 940  -0.7761938559
#> 941  -0.7761938559
#> 942   0.4863710116
#> 943  -0.0993094519
#> 944  -0.0993094519
#> 945  -0.0993094519
#> 946  -0.9751721303
#> 947  -1.3183129578
#> 948   1.1980037697
#> 949  -0.1851973918
#> 950  -0.1851973918
#> 951  -0.1851973918
#> 952   1.3684761548
#> 953   1.5939794211
#> 954  -0.7383271528
#> 955   1.8480552383
#> 956   1.8480552383
#> 957  -0.8795784777
#> 958  -0.8398524895
#> 959  -0.8398524895
#> 960   1.8544281999
#> 961   0.8971895792
#> 962   0.6650944191
#> 963   0.1655522170
#> 964  -0.5859208615
#> 965   0.2489518296
#> 966  -2.1706820482
#> 967  -0.1556713196
#> 968   1.5860970064
#> 969  -0.8776956351
#> 970   0.0733378378
#> 971  -0.4711672196
#> 972   1.9455686392
#> 973  -0.2934434180
#> 974  -0.8913970869
#> 975   0.9710232581
#> 976  -1.4845227423
#> 977   1.5784588020
#> 978  -1.5010943501
#> 979  -1.2261540524
#> 980   0.7498840284
#> 981   0.7498840284
#> 982  -0.8249740164
#> 983  -0.0878591765
#> 984   0.1098763333
#> 985  -1.1337783131
#> 986   2.4098016520
#> 987   0.9925113490
#> 988  -0.2779425885
#> 989  -0.2779425885
#> 990  -2.0642399134
#> 991   1.3568480737
#> 992  -0.1836688913
#> 993   0.0596139322
#> 994  -1.0043590636
#> 995  -0.7014057506
#> 996  -0.7014057506
#> 997  -0.9563511654
#> 998   0.5924676809
#> 999   0.1678815157
#> 1000  0.2739513067
#> 
#> $`12`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1000 
#> Thinning interval = 1 
#>             draws
#> 1     0.267655143
#> 2     0.519577612
#> 3    -0.926708027
#> 4     1.601554851
#> 5     1.122220161
#> 6     1.201998459
#> 7    -0.752020868
#> 8    -0.007882984
#> 9    -1.135708461
#> 10   -0.674910924
#> 11   -0.181581471
#> 12   -0.181581471
#> 13    0.276417321
#> 14   -1.072822424
#> 15    0.614252645
#> 16    0.614252645
#> 17    0.555016587
#> 18    0.591245766
#> 19    0.591245766
#> 20   -0.014187139
#> 21    0.511205847
#> 22    0.623500345
#> 23   -2.556046713
#> 24    0.981615615
#> 25    1.853557643
#> 26    0.137003377
#> 27    0.137003377
#> 28   -0.036851330
#> 29   -1.145128554
#> 30   -0.283367606
#> 31   -1.408096053
#> 32   -1.225631287
#> 33   -3.150338849
#> 34    1.807017978
#> 35   -0.962690295
#> 36   -0.962690295
#> 37   -0.104043787
#> 38   -0.731295682
#> 39   -1.971497135
#> 40   -1.985877716
#> 41    1.432876943
#> 42   -0.291884579
#> 43    1.117510424
#> 44   -0.296537890
#> 45   -0.513969302
#> 46    0.519660762
#> 47    0.519660762
#> 48    0.519660762
#> 49    0.382889047
#> 50    0.673246009
#> 51    0.704349616
#> 52    0.636052825
#> 53    0.644051662
#> 54    0.553900043
#> 55    0.544255929
#> 56    0.429272116
#> 57    0.315804040
#> 58    0.201527089
#> 59    0.137893587
#> 60   -0.037628079
#> 61   -0.012882499
#> 62    0.061967805
#> 63    0.028439020
#> 64   -0.013350747
#> 65    0.079115942
#> 66    0.064406047
#> 67    0.230040840
#> 68    0.223017836
#> 69    0.180485700
#> 70    0.146419055
#> 71    0.111636994
#> 72    0.178414389
#> 73    0.076838670
#> 74    0.145525410
#> 75    0.370035377
#> 76    0.353665622
#> 77    0.503899817
#> 78    0.495288547
#> 79    0.420411860
#> 80    0.450190720
#> 81    0.468010416
#> 82    0.454196402
#> 83    0.582562413
#> 84    0.564200341
#> 85    0.439477214
#> 86    0.553541053
#> 87    0.641051209
#> 88    0.450976540
#> 89    0.392951589
#> 90    0.460328682
#> 91    0.519773733
#> 92    0.657895248
#> 93    0.587459099
#> 94    0.573860434
#> 95    0.478387958
#> 96    0.367283869
#> 97    0.270406134
#> 98    0.266263867
#> 99    0.212195784
#> 100   0.385228799
#> 101   0.352775087
#> 102   0.548112811
#> 103   0.649005469
#> 104   0.491915389
#> 105   0.574298152
#> 106   0.521569391
#> 107   0.566019336
#> 108   0.865104461
#> 109   0.861706338
#> 110   0.898865162
#> 111   0.992086183
#> 112   1.167705733
#> 113   1.103578704
#> 114   1.267256807
#> 115   1.219418156
#> 116   1.158943920
#> 117   1.115393730
#> 118   0.991280000
#> 119   0.943568086
#> 120   0.820341023
#> 121   0.775452208
#> 122   0.889543893
#> 123   0.870825009
#> 124   0.821839153
#> 125   0.640053288
#> 126   0.680106955
#> 127   0.777406117
#> 128   0.784145369
#> 129   0.733921749
#> 130   0.819774785
#> 131   0.895632774
#> 132   0.906179395
#> 133   0.836799277
#> 134   0.854997298
#> 135   0.890076068
#> 136   0.839662411
#> 137   0.891885363
#> 138   0.881617614
#> 139   0.998478213
#> 140   0.925639096
#> 141   1.002437673
#> 142   1.076310450
#> 143   0.966405447
#> 144   0.748295498
#> 145   0.617606839
#> 146   0.672282630
#> 147   0.757756312
#> 148   0.705208872
#> 149   0.946513862
#> 150   0.936914522
#> 151   0.567642164
#> 152   0.567642164
#> 153   0.567642164
#> 154   0.106211272
#> 155  -0.081650295
#> 156   0.729762187
#> 157  -0.354925899
#> 158  -0.354925899
#> 159   0.413446722
#> 160  -0.452890693
#> 161   0.658560653
#> 162   2.026855160
#> 163   2.026855160
#> 164  -1.770244776
#> 165   0.308202327
#> 166   1.663257462
#> 167  -1.041314321
#> 168  -0.106394946
#> 169  -0.020827256
#> 170  -0.020827256
#> 171   1.398508419
#> 172  -0.218844165
#> 173  -0.218844165
#> 174  -0.218844165
#> 175  -0.526894212
#> 176  -0.667611595
#> 177  -1.777873732
#> 178   0.112120533
#> 179   0.559922263
#> 180   0.516876168
#> 181   0.516876168
#> 182  -0.519293840
#> 183  -0.359241134
#> 184   0.165073606
#> 185   0.165073606
#> 186   0.165073606
#> 187   0.165073606
#> 188   0.537085117
#> 189   1.102647540
#> 190   1.102647540
#> 191   0.637188766
#> 192   0.284278941
#> 193   1.048932048
#> 194   1.048932048
#> 195   1.319049788
#> 196   1.319049788
#> 197   1.992814498
#> 198  -1.600500799
#> 199  -1.809125300
#> 200   0.858045174
#> 201   2.212026474
#> 202   2.212026474
#> 203  -1.967076084
#> 204   0.510314367
#> 205   0.510314367
#> 206   0.510314367
#> 207   0.800366932
#> 208   0.041083426
#> 209  -0.627268561
#> 210   0.024420973
#> 211   0.024420973
#> 212  -0.239953354
#> 213  -0.239953354
#> 214  -0.646953040
#> 215   2.244037952
#> 216  -1.280067707
#> 217   1.933414722
#> 218   1.319658073
#> 219   0.708360382
#> 220  -2.128338093
#> 221  -1.121140229
#> 222   0.495263463
#> 223   3.262106997
#> 224  -0.319476603
#> 225   1.148446458
#> 226  -1.081790098
#> 227   0.582072670
#> 228  -0.611309206
#> 229   0.373263334
#> 230  -0.546116410
#> 231  -0.983795667
#> 232  -0.238118206
#> 233   0.665214314
#> 234   0.665214314
#> 235  -0.422680541
#> 236  -0.422680541
#> 237   0.225975788
#> 238   1.607351185
#> 239  -1.284238326
#> 240   1.207891464
#> 241   0.157221321
#> 242   1.059540532
#> 243  -0.356556942
#> 244  -0.672448713
#> 245  -0.154554909
#> 246  -0.142220851
#> 247  -0.947501753
#> 248  -0.945231990
#> 249  -0.768778209
#> 250   0.150737085
#> 251  -0.248890603
#> 252   0.043462676
#> 253   0.043462676
#> 254  -0.891855145
#> 255  -0.625379155
#> 256  -0.208609518
#> 257   1.289741478
#> 258   1.289741478
#> 259   0.289426750
#> 260  -1.106421423
#> 261  -2.089154702
#> 262   1.907731729
#> 263  -1.179735258
#> 264   1.843844933
#> 265   0.928088715
#> 266   2.186631256
#> 267  -0.977047508
#> 268  -0.303634179
#> 269   0.749796607
#> 270  -0.019991450
#> 271  -0.019991450
#> 272  -0.019991450
#> 273  -0.977686033
#> 274   0.353724853
#> 275  -1.028888181
#> 276   0.862562058
#> 277   0.862562058
#> 278   0.313669702
#> 279  -0.051550498
#> 280   0.367312286
#> 281   1.892216571
#> 282   2.060158043
#> 283   0.179031967
#> 284   0.344853023
#> 285   0.344853023
#> 286   0.165712659
#> 287  -0.299731498
#> 288   1.531763179
#> 289   0.101460592
#> 290  -0.287460942
#> 291   0.687610445
#> 292   0.687610445
#> 293   0.252458653
#> 294  -1.764358836
#> 295   1.188347506
#> 296   1.048137040
#> 297  -1.062332113
#> 298   3.350732940
#> 299   2.443958442
#> 300  -0.511651569
#> 301  -0.613898123
#> 302  -0.785841530
#> 303  -0.676949907
#> 304  -0.690495580
#> 305  -0.592569329
#> 306  -0.676496608
#> 307  -0.536229264
#> 308  -0.480140291
#> 309  -0.417480073
#> 310  -0.579339841
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#> 421   1.187366778
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#> 455  -1.971522425
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#> 940   1.563947220
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#> 943   0.126323946
#> 944  -0.482748639
#> 945  -1.595085398
#> 946  -1.022347426
#> 947  -0.720485939
#> 948   1.747857092
#> 949   1.371703384
#> 950   0.068375542
#> 951   1.730758076
#> 952  -2.166750026
#> 953   2.114771025
#> 954  -2.123086302
#> 955  -0.763477727
#> 956   0.455495540
#> 957   0.833436382
#> 958  -0.142550796
#> 959  -0.142550796
#> 960   0.354376836
#> 961  -0.759893985
#> 962  -0.440803454
#> 963   1.083965677
#> 964  -0.753881584
#> 965  -0.563031097
#> 966  -0.563031097
#> 967   0.448333396
#> 968  -0.442040980
#> 969  -1.580305849
#> 970   0.123371320
#> 971   0.738390677
#> 972  -1.117674623
#> 973   1.573577043
#> 974  -1.050926588
#> 975  -0.110577599
#> 976   0.799442340
#> 977  -0.219066000
#> 978   0.732145785
#> 979  -0.102031332
#> 980  -0.102031332
#> 981   0.251537068
#> 982   1.762370835
#> 983   1.762370835
#> 984  -0.138114963
#> 985  -1.139431199
#> 986   1.107645381
#> 987  -0.504381878
#> 988  -1.565821122
#> 989   0.613867305
#> 990   0.386130170
#> 991   2.491574315
#> 992  -0.910023761
#> 993  -1.493637121
#> 994   0.499573834
#> 995  -0.802540905
#> 996   0.638566713
#> 997   0.638566713
#> 998  -0.066110092
#> 999  -0.066110092
#> 1000 -0.066110092
#> 
#> $`13`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1000 
#> Thinning interval = 1 
#>              draws
#> 1    -1.2611626622
#> 2    -0.9444275560
#> 3     0.9500986168
#> 4     0.4851310242
#> 5     0.7693628931
#> 6     0.7693628931
#> 7     0.2192803279
#> 8     0.2587822361
#> 9    -1.1228856587
#> 10   -1.0038246618
#> 11    0.2819253300
#> 12   -0.4396313580
#> 13    1.8834148612
#> 14    2.2307006791
#> 15   -1.4838237973
#> 16    0.7905102643
#> 17   -2.3238575640
#> 18    0.2762585054
#> 19    1.1610970350
#> 20   -0.4804346390
#> 21    0.2505805369
#> 22    2.0279157731
#> 23    0.9574809204
#> 24    1.9877010672
#> 25   -0.8998613544
#> 26   -0.8998613544
#> 27    1.1716658333
#> 28    0.6820985875
#> 29    0.2301070442
#> 30   -0.0756318272
#> 31   -1.3253763570
#> 32   -1.3253763570
#> 33   -0.7912091100
#> 34    0.6773093098
#> 35    1.4178322868
#> 36   -0.6393955840
#> 37    1.4934791024
#> 38    0.2163969091
#> 39    0.2163969091
#> 40    0.3745878847
#> 41    1.0844854126
#> 42    1.7222352105
#> 43   -2.6056095335
#> 44    2.0171374724
#> 45   -1.5666914117
#> 46    0.1142695271
#> 47    0.7894720374
#> 48    0.7894720374
#> 49    0.8444493252
#> 50   -0.1446719225
#> 51   -0.1265516032
#> 52   -0.2901865176
#> 53   -0.0214247331
#> 54   -0.0857034818
#> 55   -0.0527867683
#> 56   -0.1601827244
#> 57    0.0264858635
#> 58   -0.0141859547
#> 59   -0.1373607507
#> 60    0.0839179113
#> 61   -0.2076501500
#> 62   -0.3094448696
#> 63   -0.4311668348
#> 64   -0.2893591049
#> 65   -0.1202258282
#> 66   -0.0408572824
#> 67   -0.4128753790
#> 68   -0.5232430602
#> 69   -0.6431942758
#> 70   -0.5935381690
#> 71   -0.4900730344
#> 72   -0.4143057901
#> 73   -0.2486729266
#> 74   -0.4021583291
#> 75   -0.3853447313
#> 76   -0.4876951972
#> 77   -0.4982336615
#> 78   -0.5811473803
#> 79   -0.4515650275
#> 80   -0.5054386348
#> 81   -0.3323525578
#> 82   -0.3258285075
#> 83   -0.3257916074
#> 84   -0.1978972112
#> 85   -0.1307945344
#> 86   -0.1251270109
#> 87   -0.0034051969
#> 88   -0.1613925564
#> 89   -0.4401626440
#> 90   -0.3497602113
#> 91   -0.2219712723
#> 92   -0.1414462657
#> 93   -0.1079818661
#> 94    0.0281701879
#> 95   -0.0250587394
#> 96   -0.0399934429
#> 97   -0.0373879320
#> 98   -0.2346832019
#> 99   -0.1662939633
#> 100  -0.1947093182
#> 101  -0.1712734574
#> 102  -0.0008299962
#> 103  -0.2178985023
#> 104  -0.2265763939
#> 105  -0.2855629555
#> 106  -0.3082805136
#> 107  -0.2503395586
#> 108  -0.3585871284
#> 109  -0.3877831984
#> 110  -0.3877831984
#> 111  -0.3373194356
#> 112  -0.0503581007
#> 113   0.0561079183
#> 114  -0.0296317597
#> 115   0.0601420610
#> 116   0.1159363991
#> 117  -0.0668139054
#> 118  -0.0788397961
#> 119  -0.0691923348
#> 120   0.1667185601
#> 121   0.2390723093
#> 122   0.3184774264
#> 123   0.2491869981
#> 124   0.3055207589
#> 125   0.2038782098
#> 126   0.1416754132
#> 127   0.1947785492
#> 128   0.0613088660
#> 129   0.0258111274
#> 130  -0.0002967012
#> 131   0.1109864031
#> 132   0.1968870817
#> 133   0.3685810576
#> 134   0.2484171161
#> 135   0.3052935365
#> 136   0.3082079482
#> 137   0.4236186814
#> 138   0.3805941956
#> 139   0.4245599860
#> 140   0.5350773381
#> 141   0.4989143923
#> 142   0.3950827235
#> 143   0.4325464473
#> 144   0.4125372577
#> 145   0.2904661720
#> 146   0.2464664563
#> 147   0.1910816169
#> 148   0.1153787363
#> 149   0.0615838302
#> 150   0.0173471030
#> 151  -0.7559269217
#> 152  -1.8847638992
#> 153  -1.6736736041
#> 154   1.1896431699
#> 155  -1.1059189105
#> 156  -1.3789019817
#> 157   0.9493237310
#> 158   1.1584808985
#> 159   0.3349774164
#> 160   0.2905575307
#> 161  -0.9397772311
#> 162   0.2253274279
#> 163   0.5383610061
#> 164   0.5383610061
#> 165   0.6066760025
#> 166   0.6066760025
#> 167   1.9530057671
#> 168   0.4860138123
#> 169   0.3308117934
#> 170   1.8914157686
#> 171  -0.2360532556
#> 172   0.0441245429
#> 173   0.1874231782
#> 174  -0.6130197988
#> 175  -1.7591669787
#> 176   0.8422852178
#> 177   0.2934514019
#> 178   0.1986118895
#> 179   0.1986118895
#> 180   0.1986118895
#> 181  -0.0515982555
#> 182  -0.7793525916
#> 183   0.6501620569
#> 184   0.6826873940
#> 185   0.6826873940
#> 186  -0.3367626512
#> 187  -0.0969430262
#> 188  -0.0969430262
#> 189   0.2254019336
#> 190  -0.9668636507
#> 191  -0.0077325205
#> 192  -0.0380095363
#> 193  -0.7351347998
#> 194  -0.7029946888
#> 195   0.1156701220
#> 196  -0.0858850176
#> 197  -0.3231724703
#> 198   0.3002231177
#> 199   0.3002231177
#> 200   0.3002231177
#> 201  -0.1747376651
#> 202   0.4429886942
#> 203   0.9207067702
#> 204  -0.4530717567
#> 205  -0.4530717567
#> 206   0.4468642620
#> 207  -0.5133933929
#> 208   0.6250368105
#> 209   0.6250368105
#> 210   0.4088142727
#> 211   1.2012157823
#> 212   0.3980281052
#> 213   0.0582456361
#> 214  -0.3882266596
#> 215  -0.3882266596
#> 216  -0.3882266596
#> 217   1.2716482107
#> 218   0.9038528197
#> 219   1.2351458687
#> 220  -0.2747282726
#> 221  -1.4066468147
#> 222   1.0958955120
#> 223  -1.7871524871
#> 224  -0.4603274383
#> 225   0.9811583288
#> 226   0.0519459121
#> 227   1.6427225236
#> 228   1.6427225236
#> 229  -0.7831379238
#> 230  -2.0689223078
#> 231   0.3008452485
#> 232   1.5105164012
#> 233  -0.8390459119
#> 234  -0.5362611608
#> 235  -0.2636384351
#> 236   0.2626124636
#> 237   0.1447303458
#> 238   0.3911594083
#> 239   2.0488794251
#> 240   0.9117824197
#> 241   0.9117824197
#> 242  -0.2197300173
#> 243  -0.2197300173
#> 244   1.2690704184
#> 245  -0.4996377609
#> 246  -0.4996377609
#> 247   1.0071657663
#> 248  -1.4395244140
#> 249   0.5598794565
#> 250   0.5598794565
#> 251   1.1201659467
#> 252  -0.9580080685
#> 253   0.1729663056
#> 254   0.9861813885
#> 255   1.0350491723
#> 256   0.6656904260
#> 257  -0.0598522718
#> 258  -0.0930417858
#> 259  -0.5697332184
#> 260  -1.3344576727
#> 261  -2.3736851291
#> 262  -0.4725034216
#> 263   0.5617436999
#> 264   0.5617436999
#> 265  -0.6570437125
#> 266   2.6931220334
#> 267  -0.5499681634
#> 268  -1.2044104151
#> 269  -1.2044104151
#> 270  -0.1036049209
#> 271   0.3435984373
#> 272   0.5206437593
#> 273   0.6877427225
#> 274   1.2487925375
#> 275   1.0466515054
#> 276  -0.2278452510
#> 277   2.2059418963
#> 278   0.6419772359
#> 279   0.7686235750
#> 280   0.7686235750
#> 281   1.9627276743
#> 282   0.7645898494
#> 283   2.3244454823
#> 284   0.9247817447
#> 285  -2.1326627463
#> 286  -1.4494240858
#> 287  -0.3602271283
#> 288  -0.4649969092
#> 289  -0.2889073461
#> 290   1.0461457508
#> 291  -1.1550616201
#> 292   2.2213830085
#> 293   2.6036864239
#> 294  -0.6033302084
#> 295  -1.3763207734
#> 296   0.1952226146
#> 297   0.6391646770
#> 298  -0.6717744173
#> 299   0.0815611202
#> 300  -0.3449814958
#> 301  -0.3919122268
#> 302  -0.3418987530
#> 303  -0.3455931663
#> 304  -0.2731609322
#> 305  -0.3111730773
#> 306  -0.2596644746
#> 307  -0.1743271149
#> 308  -0.1988975381
#> 309  -0.0174529062
#> 310  -0.0117721010
#> 311   0.0895545445
#> 312   0.2083040599
#> 313   0.1613973513
#> 314  -0.0097120151
#> 315   0.0664306396
#> 316   0.0891412650
#> 317  -0.1318132305
#> 318  -0.2086470163
#> 319  -0.1379792285
#> 320  -0.2176320986
#> 321  -0.0569476558
#> 322  -0.1674455373
#> 323  -0.1119863992
#> 324  -0.0376702154
#> 325  -0.1742283134
#> 326  -0.1776650004
#> 327  -0.1169883493
#> 328  -0.1786392514
#> 329  -0.1755054878
#> 330  -0.2115545257
#> 331  -0.2984246971
#> 332  -0.2534403524
#> 333  -0.3498794522
#> 334  -0.2805345953
#> 335  -0.3188680920
#> 336  -0.3314772253
#> 337  -0.4867266903
#> 338  -0.2990618003
#> 339  -0.3171152686
#> 340  -0.3133124851
#> 341  -0.2896394317
#> 342  -0.3061088378
#> 343  -0.3122128962
#> 344  -0.3161567314
#> 345  -0.4990661751
#> 346  -0.5621714405
#> 347  -0.5437154610
#> 348  -0.5355194331
#> 349  -0.5883003690
#> 350  -0.5126567798
#> 351  -0.0619049568
#> 352   0.4849267421
#> 353   1.7357002102
#> 354  -0.7641236789
#> 355  -0.7641236789
#> 356  -0.7641236789
#> 357   0.6697518785
#> 358   0.1904194782
#> 359  -1.5889907338
#> 360   0.6231195734
#> 361   0.2161529247
#> 362   0.2161529247
#> 363  -0.6826465537
#> 364  -0.5866748993
#> 365  -0.1182658560
#> 366  -0.3262292192
#> 367  -0.3262292192
#> 368  -1.3834786737
#> 369  -1.5033444341
#> 370   0.0564564527
#> 371  -1.2275646858
#> 372  -0.2092135006
#> 373   1.9035511236
#> 374   0.9380412690
#> 375   0.2913348402
#> 376   0.0750630712
#> 377  -0.7327062830
#> 378   0.0018764437
#> 379  -0.7943978675
#> 380   0.2584392872
#> 381   0.2584392872
#> 382   0.4662602135
#> 383   0.5335580471
#> 384   0.2299219767
#> 385   0.9434384728
#> 386  -1.2418696168
#> 387  -0.6256581572
#> 388  -0.7929764660
#> 389   1.4412912124
#> 390   1.4412912124
#> 391   1.4412912124
#> 392  -1.0635378516
#> 393   0.9048693353
#> 394   0.9973871790
#> 395  -0.0653504795
#> 396   0.9800449158
#> 397   2.2580371322
#> 398   1.4568035613
#> 399   1.4568035613
#> 400  -0.9159314738
#> 401  -0.8263492668
#> 402  -0.9265212687
#> 403  -0.8196518369
#> 404  -0.8597754002
#> 405  -0.8603104026
#> 406  -0.8135269334
#> 407  -0.8968783935
#> 408  -1.0044275225
#> 409  -0.9871343222
#> 410  -0.9586608876
#> 411  -0.9663507545
#> 412  -0.9271659560
#> 413  -0.9026905999
#> 414  -0.8648218897
#> 415  -0.7979909211
#> 416  -0.7747868808
#> 417  -0.7410810410
#> 418  -0.7663900472
#> 419  -0.7715945942
#> 420  -0.7722135235
#> 421  -0.7199888718
#> 422  -0.6486546390
#> 423  -0.6791175073
#> 424  -0.7527428256
#> 425  -0.7870477388
#> 426  -0.8044415146
#> 427  -0.8573741006
#> 428  -0.8649864914
#> 429  -0.7986590575
#> 430  -0.9573528916
#> 431  -0.9751824229
#> 432  -1.0259639381
#> 433  -1.0734125053
#> 434  -1.1090329209
#> 435  -1.1057633010
#> 436  -1.1328700346
#> 437  -1.1869810271
#> 438  -1.1717607984
#> 439  -1.1493524298
#> 440  -1.0099599681
#> 441  -1.1060783169
#> 442  -1.0815612054
#> 443  -0.9982963320
#> 444  -0.9231699699
#> 445  -0.8436349155
#> 446  -0.7749639936
#> 447  -0.8253253217
#> 448  -0.8907503548
#> 449  -0.8133220145
#> 450  -0.7210327962
#> 451   0.5632818274
#> 452  -1.0178438677
#> 453   1.0070291373
#> 454  -0.8165823273
#> 455   1.0152540575
#> 456   0.9854584530
#> 457   1.5440504795
#> 458   2.1607381393
#> 459   1.8527524686
#> 460  -0.8064989627
#> 461  -0.8220890289
#> 462  -0.2400960364
#> 463  -0.0917959469
#> 464  -0.0917959469
#> 465   1.9589247556
#> 466  -1.5603320625
#> 467   0.3507673743
#> 468   1.7357557185
#> 469   0.2524710232
#> 470   0.2524710232
#> 471  -0.8739657616
#> 472   0.7398786345
#> 473   0.2094336869
#> 474   0.3484448142
#> 475   0.3484448142
#> 476  -1.2012274573
#> 477  -1.2012274573
#> 478   0.7986240883
#> 479   0.2906278666
#> 480  -0.9548918313
#> 481  -0.9548918313
#> 482  -1.2325437379
#> 483   0.2115677522
#> 484   0.5836142411
#> 485   0.9120485933
#> 486  -1.8026412225
#> 487   0.1144915094
#> 488  -0.4395546351
#> 489  -0.4395546351
#> 490  -2.0116252098
#> 491  -0.8289208954
#> 492  -1.0763651252
#> 493  -1.0763651252
#> 494  -1.6892824661
#> 495  -0.2159502922
#> 496  -1.9645626239
#> 497   0.7740693451
#> 498  -1.7893647298
#> 499   2.3726314847
#> 500  -0.4465022844
#> 501  -0.4465022844
#> 502  -0.8563335027
#> 503   1.0988225580
#> 504   1.0230312031
#> 505   1.0230312031
#> 506   0.9620900483
#> 507  -0.2259470979
#> 508  -0.2259470979
#> 509   0.1276604139
#> 510  -1.2030169589
#> 511   0.3192680404
#> 512   1.7231037365
#> 513  -0.5837735353
#> 514  -0.5837735353
#> 515   1.1208791597
#> 516  -1.7109680888
#> 517  -0.5158033127
#> 518   0.6131677749
#> 519   1.1188741236
#> 520   0.2955804313
#> 521   0.3073358775
#> 522   0.3073358775
#> 523   0.5141695613
#> 524  -0.6567001403
#> 525  -0.2804829307
#> 526   0.0885915507
#> 527   0.0885915507
#> 528  -1.7637750168
#> 529   1.0412685443
#> 530  -2.0561355363
#> 531  -2.6563689149
#> 532  -2.2518586665
#> 533   1.9478460665
#> 534   0.3155315636
#> 535   0.5477345613
#> 536   1.4583104365
#> 537   0.2267162901
#> 538  -0.7673599217
#> 539  -0.7673599217
#> 540  -0.7673599217
#> 541  -0.7673599217
#> 542  -0.9017847075
#> 543  -0.4117160420
#> 544  -0.4117160420
#> 545  -0.3643370740
#> 546  -1.2649351661
#> 547  -0.3119309963
#> 548   2.3064984752
#> 549  -0.9962611601
#> 550   1.1793712424
#> 551   1.2653648986
#> 552   1.2600718200
#> 553   1.2560721365
#> 554   1.2313442133
#> 555   1.2029209791
#> 556   1.2495758447
#> 557   1.2850188304
#> 558   1.2678876684
#> 559   1.4264234976
#> 560   1.4702823791
#> 561   1.3337396993
#> 562   1.4437077716
#> 563   1.5000854684
#> 564   1.5464224768
#> 565   1.3581219496
#> 566   1.4073867613
#> 567   1.4299388662
#> 568   1.6266078034
#> 569   1.6394746630
#> 570   1.6340189997
#> 571   1.6644327205
#> 572   1.6117016831
#> 573   1.5255653503
#> 574   1.5771344773
#> 575   1.3498453712
#> 576   1.2645367647
#> 577   1.1378279256
#> 578   1.0712443464
#> 579   1.1743607849
#> 580   1.2174516065
#> 581   1.1861108851
#> 582   1.3156635798
#> 583   1.3146140411
#> 584   1.4203923198
#> 585   1.4096653957
#> 586   1.4962369783
#> 587   1.3887215980
#> 588   1.5154173411
#> 589   1.5207961980
#> 590   1.4841278044
#> 591   1.4164533786
#> 592   1.4265706674
#> 593   1.6680352170
#> 594   1.7668592543
#> 595   1.7107556598
#> 596   1.7851537018
#> 597   1.8493000807
#> 598   1.8390761613
#> 599   1.7587212407
#> 600   1.6998931579
#> 601   1.5984023677
#> 602   1.5670417803
#> 603   1.5457155193
#> 604   1.5061047475
#> 605   1.5351621842
#> 606   1.5120398079
#> 607   1.5057282841
#> 608   1.4985002776
#> 609   1.4476961324
#> 610   1.4962098965
#> 611   1.5179252050
#> 612   1.4805655407
#> 613   1.4523909124
#> 614   1.5407062399
#> 615   1.4884264101
#> 616   1.4103026025
#> 617   1.4722401839
#> 618   1.5398638687
#> 619   1.6177837234
#> 620   1.7005107517
#> 621   1.7365389269
#> 622   1.6764436908
#> 623   1.6265943079
#> 624   1.6384328830
#> 625   1.6829159109
#> 626   1.6991454417
#> 627   1.6632885305
#> 628   1.7087888639
#> 629   1.6520588515
#> 630   1.5799388052
#> 631   1.5851769265
#> 632   1.5303159764
#> 633   1.4603469975
#> 634   1.4707908160
#> 635   1.3635544182
#> 636   1.3808156920
#> 637   1.3599480209
#> 638   1.2922181980
#> 639   1.2920244860
#> 640   1.2602479597
#> 641   1.2825186694
#> 642   1.5283980979
#> 643   1.5717645675
#> 644   1.5424455486
#> 645   1.6078976160
#> 646   1.6298311136
#> 647   1.7072748706
#> 648   1.7606801534
#> 649   1.7290017626
#> 650   1.7195782291
#> 651  -1.4920621307
#> 652  -0.3591015940
#> 653  -0.0128470003
#> 654  -0.1442564446
#> 655  -0.7866608832
#> 656  -1.1869492080
#> 657   0.4576604005
#> 658  -1.6006710716
#> 659  -1.1506762516
#> 660  -1.0379403247
#> 661   1.4795501105
#> 662   0.4840801960
#> 663   0.4031245383
#> 664   0.1002309427
#> 665  -1.9008539888
#> 666  -1.0567467197
#> 667   0.2808588549
#> 668  -1.3751603017
#> 669   0.4210043354
#> 670  -0.0393231403
#> 671   0.3923684875
#> 672  -0.5313221088
#> 673  -0.0156226921
#> 674   1.9006348683
#> 675  -1.0935587779
#> 676  -1.0935587779
#> 677   0.4630690172
#> 678   0.4630690172
#> 679  -2.0234210722
#> 680  -2.5282042850
#> 681  -0.9505416681
#> 682  -0.0185310649
#> 683  -0.5049742734
#> 684   0.5429122929
#> 685   0.5429122929
#> 686   1.7083128592
#> 687   1.7083128592
#> 688  -0.5445189108
#> 689  -0.5445189108
#> 690   0.1787091953
#> 691   0.9604189610
#> 692  -0.6719581213
#> 693   0.2854677994
#> 694   1.1426543925
#> 695  -0.6804265300
#> 696  -0.6956043787
#> 697  -2.1216826516
#> 698   2.8691174056
#> 699   0.7710111836
#> 700   1.1167099858
#> 701  -0.4730673180
#> 702  -0.4730673180
#> 703   0.3034644713
#> 704  -0.7735420745
#> 705  -0.7735420745
#> 706   0.1421165503
#> 707  -0.2906508775
#> 708   0.9838069573
#> 709  -0.9323374768
#> 710   0.0994643358
#> 711  -0.1161358194
#> 712   2.0812393211
#> 713  -1.9819865147
#> 714   0.9777580502
#> 715  -0.2036359408
#> 716  -0.2036359408
#> 717  -0.3981881276
#> 718  -0.5541272076
#> 719   0.8958113332
#> 720  -1.8684968278
#> 721  -1.1529781357
#> 722   0.4013536797
#> 723   0.6182552472
#> 724   0.6182552472
#> 725   1.5768481361
#> 726  -1.7226886712
#> 727   1.3868955347
#> 728  -0.1215276183
#> 729   0.0456490740
#> 730   0.4441291768
#> 731  -1.1403031414
#> 732  -0.7690624975
#> 733   0.7366718388
#> 734   0.7366718388
#> 735   0.3741299072
#> 736   0.1947183766
#> 737   0.0348027903
#> 738   0.0348027903
#> 739   1.3945226822
#> 740   0.6224860792
#> 741   0.3132757082
#> 742  -1.6801773436
#> 743   0.2600997772
#> 744   0.2600997772
#> 745   0.2600997772
#> 746   0.2961429438
#> 747   0.6624254430
#> 748  -0.7346320578
#> 749  -2.2111342645
#> 750   0.1412202586
#> 751   0.1392715204
#> 752   0.0250878178
#> 753   0.0988707526
#> 754   0.1833041956
#> 755   0.1448338678
#> 756   0.1422857320
#> 757   0.2018901792
#> 758   0.1914382275
#> 759   0.2668391523
#> 760   0.3830655805
#> 761   0.3256372817
#> 762   0.2215789137
#> 763   0.2389094130
#> 764   0.2652032839
#> 765   0.2129503023
#> 766   0.3810792375
#> 767   0.3904720788
#> 768   0.3621015214
#> 769   0.3662098200
#> 770   0.2857720210
#> 771   0.3199522909
#> 772   0.2645497654
#> 773   0.3638964811
#> 774   0.2964789141
#> 775   0.3802839887
#> 776   0.5048140893
#> 777   0.4988946110
#> 778   0.3785102476
#> 779   0.3139466107
#> 780   0.2952100059
#> 781   0.2993668493
#> 782   0.2148954278
#> 783   0.0772954574
#> 784  -0.0373370448
#> 785  -0.0391593716
#> 786  -0.0027340824
#> 787   0.0277606482
#> 788  -0.0415888146
#> 789   0.0637572225
#> 790   0.0376138725
#> 791   0.1080688880
#> 792   0.0992959753
#> 793   0.1072173792
#> 794   0.0964940768
#> 795   0.1312890331
#> 796   0.2429248869
#> 797   0.2867988288
#> 798   0.2332891757
#> 799   0.1484983412
#> 800   0.1049147241
#> 801  -0.4057766028
#> 802   0.8890868598
#> 803   0.8890868598
#> 804  -0.4422297645
#> 805   0.0289674049
#> 806   0.3857355582
#> 807   0.6497903801
#> 808  -1.0322938098
#> 809  -0.2876054143
#> 810  -0.2096726031
#> 811  -0.2096726031
#> 812  -1.3251280207
#> 813  -0.1373809334
#> 814  -0.1373809334
#> 815  -1.5494169443
#> 816   0.6223822400
#> 817   0.4754855584
#> 818   0.4754855584
#> 819  -0.4374500930
#> 820   0.3964705639
#> 821  -1.1674702998
#> 822   0.4647381684
#> 823  -0.0302369438
#> 824   0.0752583689
#> 825  -1.0821271330
#> 826  -0.3191692747
#> 827  -0.5990967342
#> 828   0.7567561287
#> 829   0.7567561287
#> 830  -0.6596978551
#> 831  -1.8328237613
#> 832  -0.8739750249
#> 833  -0.8923901891
#> 834  -2.0488825352
#> 835  -1.7087903613
#> 836   1.7214423367
#> 837  -1.4090499568
#> 838  -0.3095184498
#> 839  -1.3111010113
#> 840   1.3101301723
#> 841   0.1156220742
#> 842  -0.4965218218
#> 843  -0.4965218218
#> 844  -1.1901670131
#> 845  -1.1073355130
#> 846  -1.1073355130
#> 847   0.8300195748
#> 848   0.4374331793
#> 849  -0.7106297175
#> 850   1.3562320425
#> 851   0.3884799296
#> 852  -0.6243275584
#> 853  -0.1453093643
#> 854  -0.1453093643
#> 855  -0.1453093643
#> 856  -0.1453093643
#> 857   0.5880024522
#> 858   1.1579522965
#> 859  -0.0534583731
#> 860  -0.0534583731
#> 861  -0.0534583731
#> 862   1.1445264071
#> 863   0.9085969034
#> 864   0.4214791541
#> 865   0.4214791541
#> 866  -0.5781481027
#> 867   0.3063795519
#> 868   0.3063795519
#> 869  -0.0895499927
#> 870  -1.8509875467
#> 871   0.2961203431
#> 872  -0.5279426259
#> 873   0.8085233123
#> 874   0.8085233123
#> 875  -1.2037808037
#> 876   2.0250806327
#> 877   0.4557076839
#> 878  -0.6952257386
#> 879   0.1562609593
#> 880   1.6465403222
#> 881  -0.4459160550
#> 882  -0.8027795440
#> 883   0.5393465784
#> 884   0.3949223050
#> 885   0.3949223050
#> 886   0.1386187524
#> 887   0.1386187524
#> 888   0.4994357696
#> 889   1.7026379900
#> 890   0.2180351582
#> 891   0.2480211934
#> 892   1.9071532132
#> 893  -0.4618116838
#> 894   0.1700060095
#> 895   1.6330882174
#> 896   0.8358308217
#> 897   0.8358308217
#> 898  -1.1584394203
#> 899   0.4545194215
#> 900  -1.2680295678
#> 901   0.6818026528
#> 902  -0.6837451894
#> 903   1.9772581380
#> 904  -1.6017778814
#> 905   1.2932537837
#> 906  -1.0279574829
#> 907  -1.0279574829
#> 908  -1.0279574829
#> 909  -1.6078577609
#> 910  -2.3349929058
#> 911  -0.8280746567
#> 912  -0.6525120232
#> 913  -0.1393918304
#> 914  -0.1393918304
#> 915  -0.4117058507
#> 916  -0.4117058507
#> 917   0.4210441333
#> 918   0.3596485383
#> 919   0.3596485383
#> 920  -0.7536244123
#> 921   0.8940004572
#> 922  -1.6555594466
#> 923   0.2931703562
#> 924  -0.7633466059
#> 925  -0.7633466059
#> 926  -0.1014407819
#> 927  -0.1014407819
#> 928   1.0185314663
#> 929  -1.6672920553
#> 930  -1.6214704132
#> 931   0.8729917749
#> 932   1.8471042490
#> 933   1.6199341925
#> 934   1.3224550096
#> 935  -0.1486385709
#> 936   1.6936435174
#> 937  -1.3290341372
#> 938  -1.3290341372
#> 939   0.7689589430
#> 940   0.7689589430
#> 941  -0.8563880278
#> 942  -0.3553180359
#> 943   0.1121765857
#> 944  -0.5571407885
#> 945   0.1992343880
#> 946   0.1992343880
#> 947  -0.2006198140
#> 948   0.1612918765
#> 949  -0.6206833629
#> 950   1.7674967438
#> 951  -2.6649342481
#> 952   0.1072713396
#> 953   0.8644906989
#> 954  -0.1798768271
#> 955   0.2890405863
#> 956   0.0377114587
#> 957  -0.5608332878
#> 958   0.3476960546
#> 959   0.1607632703
#> 960  -1.2099606895
#> 961  -0.2491873826
#> 962  -0.2491107188
#> 963  -0.2491107188
#> 964  -0.2491107188
#> 965  -0.2491107188
#> 966  -0.2664802289
#> 967   0.7532120177
#> 968  -0.3738283853
#> 969  -0.3738283853
#> 970   0.6301699707
#> 971   1.3939262353
#> 972  -1.2640160953
#> 973  -0.0322286355
#> 974  -0.0322286355
#> 975   2.0400866597
#> 976   1.3111522082
#> 977  -1.2309304841
#> 978   1.0739084651
#> 979  -1.0870196393
#> 980  -0.9424473751
#> 981  -0.9424473751
#> 982   0.8511912446
#> 983  -1.6238244609
#> 984   0.5323891395
#> 985   1.0306916001
#> 986   1.8563194018
#> 987  -0.0534678372
#> 988  -0.0534678372
#> 989   0.5131243247
#> 990   0.5131243247
#> 991   0.5131243247
#> 992   0.6379697087
#> 993  -0.4963114725
#> 994   1.5580883660
#> 995   0.5863805429
#> 996  -1.1401080528
#> 997   0.2862406538
#> 998   0.4058882155
#> 999   0.3698887769
#> 1000 -0.2324290409
#> 
#> $`14`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1000 
#> Thinning interval = 1 
#>              draws
#> 1    -1.6076289693
#> 2     1.6124290544
#> 3     0.1966538006
#> 4    -0.8425480276
#> 5     0.7409245233
#> 6     0.7409245233
#> 7    -0.6315423310
#> 8     2.0480032713
#> 9     1.5452516242
#> 10    0.4523191252
#> 11    0.4523191252
#> 12    0.4523191252
#> 13   -1.5112843144
#> 14   -1.2699620699
#> 15    1.1822079132
#> 16    0.9400571291
#> 17   -0.3007210429
#> 18   -0.1755420356
#> 19    0.5742957026
#> 20    0.6868489802
#> 21   -0.5444516664
#> 22   -0.9083403680
#> 23   -0.9083403680
#> 24   -0.9083403680
#> 25    1.3472381245
#> 26    0.3498503833
#> 27   -0.0212121116
#> 28    0.1818730479
#> 29   -0.0509147690
#> 30    0.4404743548
#> 31   -0.7135707290
#> 32   -0.1033713625
#> 33    0.7699007004
#> 34   -0.5128725698
#> 35   -0.5128725698
#> 36    0.8539482630
#> 37    1.5217325482
#> 38   -0.3023240724
#> 39   -0.3023240724
#> 40    0.2457702462
#> 41   -0.4932072419
#> 42    1.0912803803
#> 43   -0.1712367220
#> 44   -0.0235541196
#> 45    1.0873921870
#> 46   -1.1984188323
#> 47    1.1048212645
#> 48   -1.0098832539
#> 49   -0.3084523912
#> 50    0.9178146989
#> 51    0.9291004032
#> 52    0.8478509968
#> 53    0.9646697035
#> 54    0.9051000360
#> 55    0.9832378694
#> 56    1.0428322288
#> 57    1.0353515721
#> 58    0.9741469894
#> 59    0.8780227070
#> 60    0.8722868640
#> 61    0.9842231392
#> 62    0.9517963733
#> 63    1.0534742926
#> 64    1.0724871099
#> 65    1.1727086104
#> 66    1.2378517543
#> 67    1.2885803433
#> 68    1.2443276834
#> 69    1.3527126152
#> 70    1.4267767197
#> 71    1.4020632378
#> 72    1.4162303142
#> 73    1.4096807687
#> 74    1.4356855999
#> 75    1.4186215586
#> 76    1.5287255079
#> 77    1.4896246386
#> 78    1.6447336313
#> 79    1.5067275770
#> 80    1.3804308534
#> 81    1.3869850826
#> 82    1.4661223917
#> 83    1.4992367363
#> 84    1.4646820037
#> 85    1.5440797425
#> 86    1.4554483046
#> 87    1.5172998581
#> 88    1.5652779683
#> 89    1.4276959086
#> 90    1.6105729324
#> 91    1.5941332502
#> 92    1.5399791619
#> 93    1.6015433434
#> 94    1.5526136108
#> 95    1.5069742269
#> 96    1.6414457428
#> 97    1.4031278998
#> 98    1.2949034994
#> 99    1.1855599898
#> 100   1.3278788815
#> 101   1.3908616766
#> 102   1.4283111694
#> 103   1.4208546390
#> 104   1.5762983138
#> 105   1.5128979708
#> 106   1.5117263114
#> 107   1.5596626688
#> 108   1.3457994392
#> 109   1.2570607739
#> 110   1.2139057890
#> 111   1.2522229147
#> 112   1.3043498670
#> 113   1.3892917703
#> 114   1.4471328155
#> 115   1.5564835564
#> 116   1.4958342691
#> 117   1.6482391977
#> 118   1.6185686599
#> 119   1.6792135479
#> 120   1.6542672763
#> 121   1.5504195113
#> 122   1.6981102219
#> 123   1.6553866762
#> 124   1.6253233948
#> 125   1.5433020500
#> 126   1.6807451016
#> 127   1.6548126576
#> 128   1.6893459149
#> 129   1.7238950144
#> 130   1.8875616524
#> 131   1.7571743935
#> 132   1.5154848950
#> 133   1.6081669491
#> 134   1.5744485369
#> 135   1.3991287375
#> 136   1.3766268946
#> 137   1.4190079550
#> 138   1.2684805977
#> 139   1.2753809098
#> 140   1.2671636217
#> 141   1.2851842574
#> 142   1.2308532540
#> 143   1.2434269517
#> 144   1.3867748196
#> 145   1.6070470725
#> 146   1.6958001127
#> 147   1.4881509410
#> 148   1.5151068151
#> 149   1.4384523496
#> 150   1.3295837920
#> 151   1.3295837920
#> 152  -1.0817258301
#> 153  -1.4663350492
#> 154  -0.2370599655
#> 155   1.0782124745
#> 156   1.0782124745
#> 157   2.1492666044
#> 158   0.9323520398
#> 159   0.4407740367
#> 160   2.9241071702
#> 161  -0.2370748429
#> 162   0.9743288874
#> 163  -0.5462319784
#> 164   2.1721288923
#> 165  -0.2879987142
#> 166   0.3717173226
#> 167   0.3717173226
#> 168   0.3717173226
#> 169   0.6680361506
#> 170   0.2991664712
#> 171   0.2991664712
#> 172  -0.3690756527
#> 173  -0.3690756527
#> 174  -0.3690756527
#> 175   0.5816061451
#> 176  -0.6172901789
#> 177   0.7154952413
#> 178   0.6368476094
#> 179  -1.1727220035
#> 180   1.0247015215
#> 181  -0.1230238846
#> 182  -0.1230238846
#> 183  -0.1230238846
#> 184   0.5510660819
#> 185   0.5510660819
#> 186  -1.2994524663
#> 187  -0.9649645808
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#> 803   0.1884130787
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#> 808   0.6378852736
#> 809   0.6378852736
#> 810  -0.2276343533
#> 811   0.9238697061
#> 812  -0.0776989677
#> 813   1.5418666316
#> 814   1.9514259351
#> 815   1.2375016402
#> 816   1.1504601226
#> 817  -0.7130682219
#> 818   1.1423010622
#> 819  -1.1188944317
#> 820  -0.6690019915
#> 821  -0.1676284046
#> 822   0.6382160258
#> 823   1.0653079208
#> 824  -2.3470715100
#> 825  -0.6277002718
#> 826  -0.6277002718
#> 827   1.3510440460
#> 828   1.2337047883
#> 829  -1.2028909787
#> 830   1.1090031365
#> 831  -0.4222336749
#> 832  -2.4951398574
#> 833  -2.4951398574
#> 834   1.2025706223
#> 835  -0.5510447285
#> 836  -1.4241754759
#> 837   1.1664736145
#> 838   1.1664736145
#> 839   0.5511390453
#> 840   0.5511390453
#> 841  -1.7866593178
#> 842  -0.5394357371
#> 843   1.5064014968
#> 844  -0.9708070840
#> 845  -0.9708070840
#> 846  -0.5373578536
#> 847  -0.3235176372
#> 848   0.9053027047
#> 849  -0.6789856015
#> 850  -1.0857820205
#> 851  -0.8348039619
#> 852  -0.4016383189
#> 853   0.5602351195
#> 854   0.9329590077
#> 855   0.6368156157
#> 856   0.6029023727
#> 857  -0.3901587387
#> 858  -0.0528815584
#> 859  -0.2528744028
#> 860  -0.2528744028
#> 861  -0.2528744028
#> 862   1.0943447883
#> 863  -1.7715967472
#> 864  -2.5701975641
#> 865   2.6047542982
#> 866  -1.5686624790
#> 867  -0.1925845619
#> 868   0.5558522594
#> 869  -0.1617415304
#> 870   0.2339765023
#> 871   1.4056820139
#> 872   0.0728034358
#> 873  -2.6088613552
#> 874  -1.1318389493
#> 875  -0.7265475673
#> 876  -0.3959790982
#> 877   1.1112333016
#> 878   1.1112333016
#> 879  -0.2542474585
#> 880  -0.2542474585
#> 881   1.2189918293
#> 882  -1.4738224340
#> 883   0.3182064396
#> 884   0.3182064396
#> 885   0.3565260814
#> 886   0.6123395746
#> 887   0.3095993959
#> 888  -0.9758183515
#> 889  -0.6563426937
#> 890   0.4949692855
#> 891   0.4949692855
#> 892   1.1837308261
#> 893  -0.9426225583
#> 894  -1.3359372583
#> 895  -1.5339824244
#> 896  -1.5339824244
#> 897  -1.7649698941
#> 898  -0.3998829686
#> 899  -0.0489746859
#> 900  -0.9433226915
#> 901   1.0507228810
#> 902  -2.1788502942
#> 903   0.4083014757
#> 904   0.7942375314
#> 905   0.3431521203
#> 906   0.2777340944
#> 907   0.2777340944
#> 908   0.2077757203
#> 909  -0.4030593495
#> 910  -0.4273807005
#> 911   1.0954248961
#> 912  -0.1280152437
#> 913   0.9210721668
#> 914  -0.5194542908
#> 915  -1.4300422136
#> 916  -1.4300422136
#> 917   0.2283802196
#> 918  -0.4440386710
#> 919  -1.1333387146
#> 920   2.8098269389
#> 921   0.7575304773
#> 922  -0.4127450776
#> 923  -0.2352171088
#> 924   0.2438440803
#> 925  -0.8323940168
#> 926  -0.5993074120
#> 927   1.9812857663
#> 928   0.7977247383
#> 929   1.3730651632
#> 930   1.5157347438
#> 931  -0.1985450066
#> 932  -0.8555551621
#> 933   1.9985425803
#> 934   0.0735453124
#> 935   0.4908273648
#> 936   0.4919481344
#> 937   0.2522289251
#> 938   0.2522289251
#> 939   0.0595778197
#> 940  -0.6904145275
#> 941  -1.4899490506
#> 942  -0.9376832615
#> 943  -0.9376832615
#> 944  -2.2699131106
#> 945   0.3248719206
#> 946   0.3513614753
#> 947   0.3513614753
#> 948  -0.4737666750
#> 949   0.8273509247
#> 950   0.7495367705
#> 951   0.7495367705
#> 952   0.2341622969
#> 953   0.2341622969
#> 954  -1.9857568520
#> 955  -0.8391254578
#> 956  -0.3675141707
#> 957  -1.3413498722
#> 958  -0.4300766606
#> 959   0.8320581182
#> 960  -0.8279517527
#> 961  -0.8279517527
#> 962   0.7031831874
#> 963  -0.9819626298
#> 964   0.0054936391
#> 965   0.7943900257
#> 966  -0.0373252454
#> 967  -0.7317920184
#> 968   1.2922073294
#> 969  -0.0851617056
#> 970  -0.4197406593
#> 971   0.7213141427
#> 972  -1.4235333362
#> 973   0.4807599872
#> 974   0.4807599872
#> 975   0.1289378694
#> 976  -2.0826452115
#> 977   1.1835972316
#> 978  -0.7558921163
#> 979  -0.9115304675
#> 980  -0.8235949187
#> 981   1.0093907596
#> 982  -0.2205712057
#> 983  -0.1637793895
#> 984   0.7496270880
#> 985   0.9495909525
#> 986   1.3925595666
#> 987  -0.3905325183
#> 988   0.1514871241
#> 989   0.4842126711
#> 990  -0.1648761758
#> 991  -0.1648761758
#> 992  -1.0426602725
#> 993   1.7752262267
#> 994   0.5622287026
#> 995  -2.1918169130
#> 996  -2.1918169130
#> 997  -0.4938964466
#> 998  -1.3851131247
#> 999   2.0578279595
#> 1000 -0.3310950139
#> 
#> attr(,"class")
#> [1] "mcmc.list"
#> 
#> attr(,"model_info")$samplers
#> attr(,"model_info")$samplers$`1`
#> hmc_sampler object with parameters:
#>   Lmin = 5, Lmax = 10, epsilon = 1.729981, diag_sd = 1.001986
#> 
#> attr(,"model_info")$model
#> greta model

summary(draws)
#> 
#> Iterations = 1:1000
#> Thinning interval = 1 
#> Number of chains = 4 
#> Sample size per chain = 1000 
#> 
#> 1. Empirical mean and standard deviation for each variable,
#>    plus standard error of the mean:
#> 
#>           Mean             SD       Naive SE Time-series SE 
#>        0.05060        1.04413        0.01651        0.09969 
#> 
#> 2. Quantiles for each variable:
#> 
#>    2.5%     25%     50%     75%   97.5% 
#> -1.9861 -0.6984  0.0287  0.7975  2.0110

class(draws)
#> [1] "greta_mcmc_list" "mcmc.list"

print.greta_mcmc_list <- function(x, ...){
  n_chain <- coda::nchain(draws)
  n_iter <- coda::niter(draws)
  n_thin <- coda::thin(draws)
  cli::cli_h1("MCMC draws from {.pkg greta}")
  cli::cli_bullets(
    c(
      "*" = "Iteration = {n_iter}",
      "*" = "Chains  = {n_chain}",
      "*" = "Thinning  = {n_thin}"
    )
  )

  # model info?

  draws_head <- lapply(draws, head, n = 2)
  draws_tail <- lapply(draws, tail, n = 2)

  model_name <- lapply(draws_head, dimnames) |> 
    purrr::map_chr(purrr::pluck(2)) |> unique()

  matrix_unname <- function(draws){
    lapply(draws, as.matrix) |>
      lapply(function(x){
        colnames(x) <- ""
        x
      }) 
  }

  # do some kind of data.table printing?
  draws_top <- matrix_unname(draws_head)
  draws_bottom <- matrix_unname(draws_tail)
  draws_middle <- "-----"

  chain_names <- glue::glue("Chain_{seq_len(n_chain)}: {model_name}")

  lapply(chain_names, cli::cli_h2)

  draws_top

}

draws
#> 
#> ── MCMC draws from greta ───────────────────────────────────────────────────────
#> • Iteration = 1000
#> • Chains = 4
#> • Thinning = 1
#> 
#> ── Chain_1: normal(0, 1) ──
#> 
#> ── Chain_2: normal(0, 1) ──
#> 
#> ── Chain_3: normal(0, 1) ──
#> 
#> ── Chain_4: normal(0, 1) ──

Created on 2024-05-14 with reprex v2.1.0

Session info ``` r sessioninfo::session_info() #> ─ Session info ─────────────────────────────────────────────────────────────── #> setting value #> version R version 4.3.3 (2024-02-29) #> os macOS Sonoma 14.3.1 #> system aarch64, darwin20 #> ui X11 #> language (EN) #> collate en_US.UTF-8 #> ctype en_US.UTF-8 #> tz Australia/Brisbane #> date 2024-05-14 #> pandoc 3.1.13 @ /opt/homebrew/bin/ (via rmarkdown) #> #> ─ Packages ─────────────────────────────────────────────────────────────────── #> package * version date (UTC) lib source #> abind 1.4-5 2016-07-21 [1] CRAN (R 4.3.0) #> backports 1.4.1 2021-12-13 [1] CRAN (R 4.3.0) #> base64enc 0.1-3 2015-07-28 [1] CRAN (R 4.3.0) #> callr 3.7.6 2024-03-25 [1] CRAN (R 4.3.1) #> cli 3.6.2 2023-12-11 [1] CRAN (R 4.3.1) #> coda 0.19-4.1 2024-01-31 [2] CRAN (R 4.3.1) #> codetools 0.2-20 2024-03-31 [2] CRAN (R 4.3.1) #> crayon 1.5.2 2022-09-29 [1] CRAN (R 4.3.0) #> digest 0.6.35 2024-03-11 [1] CRAN (R 4.3.1) #> evaluate 0.23 2023-11-01 [1] CRAN (R 4.3.1) #> fastmap 1.1.1 2023-02-24 [1] CRAN (R 4.3.0) #> fs 1.6.4 2024-04-25 [1] CRAN (R 4.3.1) #> future 1.33.2 2024-03-26 [1] CRAN (R 4.3.1) #> globals 0.16.3 2024-03-08 [1] CRAN (R 4.3.1) #> glue 1.7.0 2024-01-09 [1] CRAN (R 4.3.1) #> greta * 0.4.5.9000 2024-05-13 [1] local #> hms 1.1.3 2023-03-21 [1] CRAN (R 4.3.0) #> htmltools 0.5.8.1 2024-04-04 [1] CRAN (R 4.3.1) #> jsonlite 1.8.8 2023-12-04 [1] CRAN (R 4.3.1) #> knitr 1.45 2023-10-30 [1] CRAN (R 4.3.1) #> lattice 0.22-6 2024-03-20 [1] CRAN (R 4.3.1) #> lifecycle 1.0.4 2023-11-07 [1] CRAN (R 4.3.1) #> listenv 0.9.1 2024-01-29 [2] CRAN (R 4.3.1) #> magrittr 2.0.3 2022-03-30 [1] CRAN (R 4.3.0) #> Matrix 1.6-5 2024-01-11 [1] CRAN (R 4.3.1) #> parallelly 1.37.1 2024-02-29 [1] CRAN (R 4.3.1) #> pkgconfig 2.0.3 2019-09-22 [1] CRAN (R 4.3.0) #> png 0.1-8 2022-11-29 [1] CRAN (R 4.3.0) #> prettyunits 1.2.0 2023-09-24 [1] CRAN (R 4.3.1) #> processx 3.8.4 2024-03-16 [1] CRAN (R 4.3.1) #> progress 1.2.3 2023-12-06 [1] CRAN (R 4.3.1) #> ps 1.7.6 2024-01-18 [1] CRAN (R 4.3.1) #> purrr 1.0.2 2023-08-10 [1] CRAN (R 4.3.0) #> R.cache 0.16.0 2022-07-21 [2] CRAN (R 4.3.0) #> R.methodsS3 1.8.2 2022-06-13 [2] CRAN (R 4.3.0) #> R.oo 1.26.0 2024-01-24 [2] CRAN (R 4.3.1) #> R.utils 2.12.3 2023-11-18 [2] CRAN (R 4.3.1) #> R6 2.5.1 2021-08-19 [1] CRAN (R 4.3.0) #> Rcpp 1.0.12 2024-01-09 [1] CRAN (R 4.3.1) #> reprex 2.1.0 2024-01-11 [2] CRAN (R 4.3.1) #> reticulate 1.36.1 2024-04-22 [1] CRAN (R 4.3.1) #> rlang 1.1.3 2024-01-10 [1] CRAN (R 4.3.1) #> rmarkdown 2.26 2024-03-05 [1] CRAN (R 4.3.1) #> rstudioapi 0.16.0 2024-03-24 [1] CRAN (R 4.3.1) #> sessioninfo 1.2.2 2021-12-06 [2] CRAN (R 4.3.0) #> styler 1.10.3 2024-04-07 [2] CRAN (R 4.3.1) #> tensorflow 2.16.0 2024-04-15 [2] CRAN (R 4.3.1) #> tfautograph 0.3.2 2021-09-17 [2] CRAN (R 4.3.0) #> tfruns 1.5.3 2024-04-19 [1] CRAN (R 4.3.1) #> vctrs 0.6.5 2023-12-01 [1] CRAN (R 4.3.1) #> whisker 0.4.1 2022-12-05 [1] CRAN (R 4.3.0) #> withr 3.0.0 2024-01-16 [1] CRAN (R 4.3.1) #> xfun 0.43 2024-03-25 [1] CRAN (R 4.3.1) #> yaml 2.3.8 2023-12-11 [1] CRAN (R 4.3.1) #> #> [1] /Users/nick/Library/R/arm64/4.3/library #> [2] /Library/Frameworks/R.framework/Versions/4.3-arm64/Resources/library #> #> ─ Python configuration ─────────────────────────────────────────────────────── #> python: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2/bin/python #> libpython: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2/lib/libpython3.11.dylib #> pythonhome: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2:/Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2 #> version: 3.11.9 | packaged by conda-forge | (main, Apr 19 2024, 18:34:54) [Clang 16.0.6 ] #> numpy: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2/lib/python3.11/site-packages/numpy #> numpy_version: 1.26.4 #> tensorflow: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2/lib/python3.11/site-packages/tensorflow #> #> NOTE: Python version was forced by use_python() function #> #> ────────────────────────────────────────────────────────────────────────────── ```
njtierney commented 4 months ago

Before #647 

library(greta)
#> 
#> Attaching package: 'greta'
#> The following objects are masked from 'package:stats':
#> 
#>     binomial, cov2cor, poisson
#> The following objects are masked from 'package:base':
#> 
#>     %*%, apply, backsolve, beta, chol2inv, colMeans, colSums, diag,
#>     eigen, forwardsolve, gamma, identity, rowMeans, rowSums, sweep,
#>     tapply
a <- normal(-100, 0.001)
#> ℹ Initialising python and checking dependencies, this may take a moment.
#> ✔ Initialising python and checking dependencies ... done!
#> 
b <- normal(100, 0.001)
c <- normal(0, 0.001)
result <- b * c + a
model <- model(a, b)
draws <- mcmc(model, warmup = 1, n_samples = 1, verbose = FALSE)
draws
#> $`11`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>            a         b
#> 1 0.08599691 0.1311058
#> 
#> $`12`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>            a          b
#> 1 0.08698472 0.05845424
#> 
#> $`13`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>             a         b
#> 1 -0.05399615 0.1303886
#> 
#> $`14`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>           a           b
#> 1 0.2258002 -0.02829639
#> 
#> attr(,"class")
#> [1] "greta_mcmc_list" "mcmc.list"      
#> attr(,"model_info")
#> attr(,"model_info")$raw_draws
#> $`11`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>            1         2          3
#> 1 0.08599691 0.1311058 -0.1545299
#> 
#> $`12`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>            1          2          3
#> 1 0.08698472 0.05845424 -0.1189118
#> 
#> $`13`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>             1         2          3
#> 1 -0.05399615 0.1303886 0.03115055
#> 
#> $`14`
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 1 
#> Thinning interval = 1 
#>           1           2           3
#> 1 0.2258002 -0.02829639 -0.02798535
#> 
#> attr(,"class")
#> [1] "mcmc.list"
#> 
#> attr(,"model_info")$samplers
#> attr(,"model_info")$samplers$`1`
#> Error in vapply(x, format, "", big.mark = big.mark, big.interval = big.interval, : values must be length 1,
#>  but FUN(X[[4]]) result is length 3

Created on 2024-07-30 with reprex v2.1.0

Session info ``` r sessioninfo::session_info() #> ─ Session info ─────────────────────────────────────────────────────────────── #> setting value #> version R version 4.4.0 (2024-04-24) #> os macOS Sonoma 14.5 #> system aarch64, darwin20 #> ui X11 #> language (EN) #> collate en_US.UTF-8 #> ctype en_US.UTF-8 #> tz Australia/Hobart #> date 2024-07-30 #> pandoc 3.2.1 @ /opt/homebrew/bin/ (via rmarkdown) #> #> ─ Packages ─────────────────────────────────────────────────────────────────── #> package * version date (UTC) lib source #> abind 1.4-5 2016-07-21 [1] CRAN (R 4.4.0) #> backports 1.5.0 2024-05-23 [1] CRAN (R 4.4.0) #> base64enc 0.1-3 2015-07-28 [1] CRAN (R 4.4.0) #> callr 3.7.6 2024-03-25 [1] CRAN (R 4.4.0) #> cli 3.6.3 2024-06-21 [1] CRAN (R 4.4.0) #> coda 0.19-4.1 2024-01-31 [1] CRAN (R 4.4.0) #> codetools 0.2-20 2024-03-31 [2] CRAN (R 4.4.0) #> crayon 1.5.3 2024-06-20 [1] CRAN (R 4.4.0) #> digest 0.6.36 2024-06-23 [1] CRAN (R 4.4.0) #> evaluate 0.24.0 2024-06-10 [1] CRAN (R 4.4.0) #> fastmap 1.2.0 2024-05-15 [1] CRAN (R 4.4.0) #> fs 1.6.4.9000 2024-06-26 [1] Github (r-lib/fs@714990b) #> future 1.33.2 2024-03-26 [1] CRAN (R 4.4.0) #> globals 0.16.3 2024-03-08 [1] CRAN (R 4.4.0) #> glue 1.7.0 2024-01-09 [1] CRAN (R 4.4.0) #> greta * 0.4.5.9000 2024-07-30 [1] local #> hms 1.1.3 2023-03-21 [1] CRAN (R 4.4.0) #> htmltools 0.5.8.1 2024-04-04 [1] CRAN (R 4.4.0) #> jsonlite 1.8.8 2023-12-04 [1] CRAN (R 4.4.0) #> knitr 1.48 2024-07-07 [1] CRAN (R 4.4.0) #> lattice 0.22-6 2024-03-20 [2] CRAN (R 4.4.0) #> lifecycle 1.0.4 2023-11-07 [1] CRAN (R 4.4.0) #> listenv 0.9.1 2024-01-29 [1] CRAN (R 4.4.0) #> magrittr 2.0.3 2022-03-30 [1] CRAN (R 4.4.0) #> Matrix 1.7-0 2024-03-22 [2] CRAN (R 4.4.0) #> parallelly 1.37.1 2024-02-29 [1] CRAN (R 4.4.0) #> pkgconfig 2.0.3 2019-09-22 [1] CRAN (R 4.4.0) #> png 0.1-8 2022-11-29 [1] CRAN (R 4.4.0) #> prettyunits 1.2.0 2023-09-24 [1] CRAN (R 4.4.0) #> processx 3.8.4 2024-03-16 [1] CRAN (R 4.4.0) #> progress 1.2.3 2023-12-06 [1] CRAN (R 4.4.0) #> ps 1.7.7 2024-07-02 [1] CRAN (R 4.4.0) #> purrr 1.0.2 2023-08-10 [1] CRAN (R 4.4.0) #> R.cache 0.16.0 2022-07-21 [1] CRAN (R 4.4.0) #> R.methodsS3 1.8.2 2022-06-13 [1] CRAN (R 4.4.0) #> R.oo 1.26.0 2024-01-24 [1] CRAN (R 4.4.0) #> R.utils 2.12.3 2023-11-18 [1] CRAN (R 4.4.0) #> R6 2.5.1 2021-08-19 [1] CRAN (R 4.4.0) #> Rcpp 1.0.12 2024-01-09 [1] CRAN (R 4.4.0) #> reprex 2.1.0 2024-01-11 [1] CRAN (R 4.4.0) #> reticulate 1.36.1 2024-04-22 [1] CRAN (R 4.4.0) #> rlang 1.1.4 2024-06-04 [1] CRAN (R 4.4.0) #> rmarkdown 2.27 2024-05-17 [1] CRAN (R 4.4.0) #> rstudioapi 0.16.0 2024-03-24 [1] CRAN (R 4.4.0) #> sessioninfo 1.2.2 2021-12-06 [1] CRAN (R 4.4.0) #> styler 1.10.3 2024-04-07 [1] CRAN (R 4.4.0) #> tensorflow 2.16.0 2024-04-15 [1] CRAN (R 4.4.0) #> tfautograph 0.3.2 2021-09-17 [1] CRAN (R 4.4.0) #> tfruns 1.5.3 2024-04-19 [1] CRAN (R 4.4.0) #> vctrs 0.6.5 2023-12-01 [1] CRAN (R 4.4.0) #> whisker 0.4.1 2022-12-05 [1] CRAN (R 4.4.0) #> withr 3.0.0 2024-01-16 [1] CRAN (R 4.4.0) #> xfun 0.45 2024-06-16 [1] CRAN (R 4.4.0) #> yaml 2.3.9 2024-07-05 [1] CRAN (R 4.4.0) #> #> [1] /Users/nick/Library/R/arm64/4.4/library #> [2] /Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library #> #> ─ Python configuration ─────────────────────────────────────────────────────── #> python: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2/bin/python #> libpython: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2/lib/libpython3.11.dylib #> pythonhome: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2:/Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2 #> version: 3.11.9 | packaged by conda-forge | (main, Apr 19 2024, 18:34:54) [Clang 16.0.6 ] #> numpy: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2/lib/python3.11/site-packages/numpy #> numpy_version: 1.26.4 #> tensorflow: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2/lib/python3.11/site-packages/tensorflow #> #> NOTE: Python version was forced by use_python() function #> #> ────────────────────────────────────────────────────────────────────────────── ```

After

library(greta)
#> 
#> Attaching package: 'greta'
#> The following objects are masked from 'package:stats':
#> 
#>     binomial, cov2cor, poisson
#> The following objects are masked from 'package:base':
#> 
#>     %*%, apply, backsolve, beta, chol2inv, colMeans, colSums, diag,
#>     eigen, forwardsolve, gamma, identity, rowMeans, rowSums, sweep,
#>     tapply
a <- normal(-100, 0.001)
#> ℹ Initialising python and checking dependencies, this may take a moment.
#> ✔ Initialising python and checking dependencies ... done!
#> 
b <- normal(100, 0.001)
c <- normal(0, 0.001)
result <- b * c + a
model <- model(a, b)
draws <- mcmc(model, warmup = 1, n_samples = 1, verbose = FALSE)
draws
#> 
#> ── MCMC draws from greta ───────────────────────────────────────────────────────
#> • Iterations = 1
#> • Chains = 4
#> • Thinning = 1
#> 
#> ── Chain 1 (iterations 1...5) ──────────────────────────────────────────────────
#>              a          b
#> [1,] 0.1243415 0.01008532
#> ℹ -4 more draws
#> Use `print(n = ...)` to see more draws
#> ────────────────────────────────────────────────────────────────────────────────
#> ℹ View greta draw chain i with:
#> `greta_draws_object[[i]]`. 
#> E.g., view chain 1 with: 
#> `greta_draws_object[[1]]`.
#> ℹ To see a summary of draws, run:
#> `summary(greta_draws_object)`

Created on 2024-07-30 with reprex v2.1.0

Session info ``` r sessioninfo::session_info() #> ─ Session info ─────────────────────────────────────────────────────────────── #> setting value #> version R version 4.4.0 (2024-04-24) #> os macOS Sonoma 14.5 #> system aarch64, darwin20 #> ui X11 #> language (EN) #> collate en_US.UTF-8 #> ctype en_US.UTF-8 #> tz Australia/Hobart #> date 2024-07-30 #> pandoc 3.2.1 @ /opt/homebrew/bin/ (via rmarkdown) #> #> ─ Packages ─────────────────────────────────────────────────────────────────── #> package * version date (UTC) lib source #> abind 1.4-5 2016-07-21 [1] CRAN (R 4.4.0) #> backports 1.5.0 2024-05-23 [1] CRAN (R 4.4.0) #> base64enc 0.1-3 2015-07-28 [1] CRAN (R 4.4.0) #> callr 3.7.6 2024-03-25 [1] CRAN (R 4.4.0) #> cli 3.6.3 2024-06-21 [1] CRAN (R 4.4.0) #> coda 0.19-4.1 2024-01-31 [1] CRAN (R 4.4.0) #> codetools 0.2-20 2024-03-31 [2] CRAN (R 4.4.0) #> crayon 1.5.3 2024-06-20 [1] CRAN (R 4.4.0) #> digest 0.6.36 2024-06-23 [1] CRAN (R 4.4.0) #> evaluate 0.24.0 2024-06-10 [1] CRAN (R 4.4.0) #> fastmap 1.2.0 2024-05-15 [1] CRAN (R 4.4.0) #> fs 1.6.4.9000 2024-06-26 [1] Github (r-lib/fs@714990b) #> future 1.33.2 2024-03-26 [1] CRAN (R 4.4.0) #> globals 0.16.3 2024-03-08 [1] CRAN (R 4.4.0) #> glue 1.7.0 2024-01-09 [1] CRAN (R 4.4.0) #> greta * 0.4.5.9000 2024-07-30 [1] local #> hms 1.1.3 2023-03-21 [1] CRAN (R 4.4.0) #> htmltools 0.5.8.1 2024-04-04 [1] CRAN (R 4.4.0) #> jsonlite 1.8.8 2023-12-04 [1] CRAN (R 4.4.0) #> knitr 1.48 2024-07-07 [1] CRAN (R 4.4.0) #> lattice 0.22-6 2024-03-20 [2] CRAN (R 4.4.0) #> lifecycle 1.0.4 2023-11-07 [1] CRAN (R 4.4.0) #> listenv 0.9.1 2024-01-29 [1] CRAN (R 4.4.0) #> magrittr 2.0.3 2022-03-30 [1] CRAN (R 4.4.0) #> Matrix 1.7-0 2024-03-22 [2] CRAN (R 4.4.0) #> parallelly 1.37.1 2024-02-29 [1] CRAN (R 4.4.0) #> pkgconfig 2.0.3 2019-09-22 [1] CRAN (R 4.4.0) #> png 0.1-8 2022-11-29 [1] CRAN (R 4.4.0) #> prettyunits 1.2.0 2023-09-24 [1] CRAN (R 4.4.0) #> processx 3.8.4 2024-03-16 [1] CRAN (R 4.4.0) #> progress 1.2.3 2023-12-06 [1] CRAN (R 4.4.0) #> ps 1.7.7 2024-07-02 [1] CRAN (R 4.4.0) #> purrr 1.0.2 2023-08-10 [1] CRAN (R 4.4.0) #> R.cache 0.16.0 2022-07-21 [1] CRAN (R 4.4.0) #> R.methodsS3 1.8.2 2022-06-13 [1] CRAN (R 4.4.0) #> R.oo 1.26.0 2024-01-24 [1] CRAN (R 4.4.0) #> R.utils 2.12.3 2023-11-18 [1] CRAN (R 4.4.0) #> R6 2.5.1 2021-08-19 [1] CRAN (R 4.4.0) #> Rcpp 1.0.12 2024-01-09 [1] CRAN (R 4.4.0) #> reprex 2.1.0 2024-01-11 [1] CRAN (R 4.4.0) #> reticulate 1.36.1 2024-04-22 [1] CRAN (R 4.4.0) #> rlang 1.1.4 2024-06-04 [1] CRAN (R 4.4.0) #> rmarkdown 2.27 2024-05-17 [1] CRAN (R 4.4.0) #> rstudioapi 0.16.0 2024-03-24 [1] CRAN (R 4.4.0) #> sessioninfo 1.2.2 2021-12-06 [1] CRAN (R 4.4.0) #> styler 1.10.3 2024-04-07 [1] CRAN (R 4.4.0) #> tensorflow 2.16.0 2024-04-15 [1] CRAN (R 4.4.0) #> tfautograph 0.3.2 2021-09-17 [1] CRAN (R 4.4.0) #> tfruns 1.5.3 2024-04-19 [1] CRAN (R 4.4.0) #> vctrs 0.6.5 2023-12-01 [1] CRAN (R 4.4.0) #> whisker 0.4.1 2022-12-05 [1] CRAN (R 4.4.0) #> withr 3.0.0 2024-01-16 [1] CRAN (R 4.4.0) #> xfun 0.45 2024-06-16 [1] CRAN (R 4.4.0) #> yaml 2.3.9 2024-07-05 [1] CRAN (R 4.4.0) #> #> [1] /Users/nick/Library/R/arm64/4.4/library #> [2] /Library/Frameworks/R.framework/Versions/4.4-arm64/Resources/library #> #> ─ Python configuration ─────────────────────────────────────────────────────── #> python: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2/bin/python #> libpython: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2/lib/libpython3.11.dylib #> pythonhome: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2:/Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2 #> version: 3.11.9 | packaged by conda-forge | (main, Apr 19 2024, 18:34:54) [Clang 16.0.6 ] #> numpy: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2/lib/python3.11/site-packages/numpy #> numpy_version: 1.26.4 #> tensorflow: /Users/nick/Library/r-miniconda-arm64/envs/greta-env-tf2/lib/python3.11/site-packages/tensorflow #> #> NOTE: Python version was forced by use_python() function #> #> ────────────────────────────────────────────────────────────────────────────── ```

(although there is a printing typo, that will get addressed soon)