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Performs Bayesian Estimation of the Additive Main Effects and Multiplicative Interaction Model

Usage

# Default S3 method
bayes_ammi(.data, .y, .gen, .env, .rep, .nIter)

Arguments

.data

data.frame

.y

Response Variable

.gen

Genotypes Factor

.env

Environment Factor

.rep

Replication Factor

.nIter

Number of Iterations

Value

Genotype by Environment Interaction Model

References

Crossa, J., Perez-Elizalde, S., Jarquin, D., Cotes, J.M., Viele, K., Liu, G., and Cornelius, P.L. (2011) Bayesian Estimation of the Additive Main Effects and Multiplicative Interaction Model Crop Science, 51, 1458–1469. (doi: 10.2135/cropsci2010.06.0343)

Author

  1. Muhammad Yaseen (myaseen208@gmail.com)

  2. Jose Crossa (j.crossa@cgiar.org)

  3. Sergio Perez-Elizalde (sergiop@colpos.mx)

  4. Diego Jarquin (diego.jarquin@gmail.com)

  5. Jose Miguel Cotes

  6. Kert Viele

  7. Genzhou Liu

  8. Paul L. Cornelius

Examples


data(Maiz)

fm1 <-
 bayes_ammi(
     .data  = Maiz
   , .y     = y
   , .gen   = entry
   , .env   = site
   , .rep   = rep
   , .nIter = 20
  )
#> Warning: The `x` argument of `as_tibble.matrix()` must have unique column names if
#> `.name_repair` is omitted as of tibble 2.0.0.
#>  Using compatibility `.name_repair`.
#>  The deprecated feature was likely used in the bayesammi package.
#>   Please report the issue at <https://github.com/myaseen208/bayesammi/issues>.
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
#> Warning: number of rows of result is not a multiple of vector length (arg 2)
names(fm1)
#> [1] "mu1"      "tau1"     "tao1"     "delta1"   "lambdas1" "alphas1"  "gammas1" 
#> [8] "alphas0"  "gammas0" 
fm1$mu1
#> # A tibble: 20 × 1
#>       mu
#>    <dbl>
#>  1 4855.
#>  2 4798.
#>  3 5059.
#>  4 4756.
#>  5 4663.
#>  6 4833.
#>  7 5017.
#>  8 4691.
#>  9 4583.
#> 10 5361.
#> 11 4831.
#> 12 4730.
#> 13 4733.
#> 14 4914.
#> 15 4541.
#> 16 4700.
#> 17 4768.
#> 18 4920.
#> 19 4835.
#> 20 4456.
fm1$tau1
#> # A tibble: 20 × 1
#>           tau
#>         <dbl>
#>  1 0.00000166
#>  2 0.00000166
#>  3 0.00000166
#>  4 0.00000166
#>  5 0.00000166
#>  6 0.00000166
#>  7 0.00000166
#>  8 0.00000166
#>  9 0.00000166
#> 10 0.00000166
#> 11 0.00000166
#> 12 0.00000166
#> 13 0.00000166
#> 14 0.00000166
#> 15 0.00000166
#> 16 0.00000166
#> 17 0.00000166
#> 18 0.00000166
#> 19 0.00000166
#> 20 0.00000166
fm1$tao1
#> # A tibble: 20 × 9
#>     tao1  tao2    tao3  tao4  tao5  tao6  tao7  tao8  tao9
#>    <dbl> <dbl>   <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
#>  1 -263. -252. -31.5    360.  396.  470. -170. -580.  70.0
#>  2 -228. -267. -30.6    355.  394.  483. -198. -571.  63.1
#>  3 -192. -244. -18.2    378.  351.  464. -179. -595.  36.4
#>  4 -236. -234. -44.9    379.  379.  461. -193. -563.  53.1
#>  5 -225. -233. -45.1    366.  395.  473. -199. -566.  34.7
#>  6 -258. -253. -88.4    397.  398.  491. -170. -564.  47.7
#>  7 -235. -260.   0.586  349.  422.  476. -232. -572.  49.8
#>  8 -248. -266. -25.6    373.  387.  476. -162. -616.  81.7
#>  9 -271. -242. -21.1    327.  404.  456. -172. -574.  93.4
#> 10 -230. -239. -21.6    382.  378.  462. -194. -587.  48.6
#> 11 -280. -261. -28.2    348.  403.  462. -188. -531.  75.2
#> 12 -261. -250. -33.5    413.  374.  454. -206. -561.  69.3
#> 13 -263. -265.  -4.49   354.  404.  477. -198. -571.  67.2
#> 14 -224. -226.  -4.15   369.  360.  440. -164. -600.  49.9
#> 15 -204. -266. -65.0    334.  384.  516. -191. -582.  73.4
#> 16 -265. -251. -38.1    365.  410.  488. -193. -587.  71.7
#> 17 -260. -216. -52.7    363.  393.  479. -190. -572.  54.2
#> 18 -223. -232. -41.5    371.  372.  466. -224. -553.  65.2
#> 19 -260. -240. -24.1    361.  381.  485. -209. -545.  51.1
#> 20 -215. -228. -12.2    339.  386.  443. -188. -599.  72.8
fm1$delta1
#> # A tibble: 20 × 20
#>    delta1 delta2 delta3 delta4 delta5 delta6 delta7 delta8 delta9 delta10
#>     <dbl>  <dbl>  <dbl>  <dbl>  <dbl>  <dbl>  <dbl>  <dbl>  <dbl>   <dbl>
#>  1 -1231.  -659.   240.   378.   91.0  1441. -1641.  -829.  107.   -1911.
#>  2 -1233.  -654.   264.   344.   98.2  1465. -1660.  -816.  109.   -1946.
#>  3 -1238.  -628.   274.   378.  103.   1435. -1607.  -856.  124.   -1953.
#>  4 -1247.  -642.   270.   361.   40.0  1443. -1607.  -820.   93.1  -1890.
#>  5 -1242.  -697.   218.   409.  137.   1465. -1646.  -824.  132.   -1916.
#>  6 -1248.  -643.   247.   337.   72.4  1440. -1634.  -856.  125.   -1933.
#>  7 -1269.  -676.   215.   381.   65.9  1439. -1602.  -830.  114.   -1887.
#>  8 -1253.  -676.   232.   395.   73.7  1434. -1623.  -823.  138.   -1994.
#>  9 -1211.  -642.   224.   379.   98.8  1433. -1658.  -844.   47.3  -1882.
#> 10 -1256.  -650.   260.   383.   83.7  1469. -1634.  -853.   70.5  -1914.
#> 11 -1219.  -657.   204.   364.  131.   1461. -1629.  -854.   81.2  -1913.
#> 12 -1234.  -646.   234.   354.   91.2  1451. -1619.  -823.  124.   -1911.
#> 13 -1255.  -681.   249.   391.   87.8  1441. -1636.  -849.  114.   -1890.
#> 14 -1265.  -658.   216.   373.  115.   1464. -1617.  -778.   90.2  -1888.
#> 15 -1252.  -658.   245.   388.   71.3  1408. -1627.  -822.  106.   -1899.
#> 16 -1256.  -672.   283.   357.  102.   1439. -1609.  -840.  139.   -1944.
#> 17 -1268.  -646.   261.   366.   64.8  1441. -1626.  -825.  108.   -1915.
#> 18 -1238.  -645.   213.   390.  118.   1423. -1639.  -840.  137.   -1870.
#> 19 -1260.  -650.   199.   393.  115.   1428. -1603.  -820.  137.   -1914.
#> 20 -1262.  -616.   245.   357.   95.8  1429. -1611.  -787.  152.   -1904.
#> # ℹ 10 more variables: delta11 <dbl>, delta12 <dbl>, delta13 <dbl>,
#> #   delta14 <dbl>, delta15 <dbl>, delta16 <dbl>, delta17 <dbl>, delta18 <dbl>,
#> #   delta19 <dbl>, delta20 <dbl>
fm1$lambdas1
#> # A tibble: 20 × 8
#>    lambdas1 lambdas2 lambdas3 lambdas4 lambdas5 lambdas6 lambdas7 lambdas8
#>       <dbl>    <dbl>    <dbl>    <dbl>    <dbl>    <dbl>    <dbl>    <dbl>
#>  1    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#>  2    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#>  3    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#>  4    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#>  5    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#>  6    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#>  7    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#>  8    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#>  9    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#> 10    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#> 11    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#> 12    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#> 13    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#> 14    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#> 15    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#> 16    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#> 17    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#> 18    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#> 19    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
#> 20    5298.    6441.    8720.     194.    4741.     243.   63434.   12137.
fm1$alphas1
#>        .nIter Gen      alphas1      alphas2      alphas3      alphas4
#>   [1,]      1   1 -0.469020051 -0.294792138 -0.242315474  0.497019796
#>   [2,]      1   2  0.374404643  0.186759940  0.105398435  0.010809996
#>   [3,]      1   3 -0.679731881  0.231385207  0.656313999 -0.197655888
#>   [4,]      1   4 -0.420136444 -0.265932531  0.073665785  0.176790831
#>   [5,]      1   5  0.484871582 -0.472497509 -0.237058640  0.077902614
#>   [6,]      1   6  0.153006352 -0.104671945 -0.206885937 -0.071383822
#>   [7,]      1   7 -0.209046530 -0.119575340  0.334048600  0.256223084
#>   [8,]      1   8 -0.466419240 -0.521989851  0.301834630  0.525921640
#>   [9,]      1   9  0.111051468 -0.476803596 -0.015207930 -0.355499631
#>  [10,]      2   1 -0.647329911  0.079012442  0.015492066  0.527465694
#>  [11,]      2   2 -0.079033242 -0.520859521  0.415830619 -0.066483176
#>  [12,]      2   3  0.408584392  0.073069344  0.215271826  0.223394407
#>  [13,]      2   4 -0.153854075 -0.285388920  0.556580828  0.226616261
#>  [14,]      2   5 -0.114408320  0.541690912  0.120347799 -0.231519545
#>  [15,]      2   6  0.316083085  0.299172241  0.072130396 -0.568103062
#>  [16,]      2   7 -0.303164938 -0.546142375  0.009637074  0.059395555
#>  [17,]      2   8 -0.415333575  0.185078859 -0.314654307  0.568828965
#>  [18,]      2   9 -0.349322115  0.004894762 -0.274618959 -0.385958102
#>  [19,]      3   1 -0.208575777 -0.094633662  0.254798205  0.341838274
#>  [20,]      3   2 -0.649190408 -0.309978296  0.666514023 -0.250301453
#>  [21,]      3   3  0.243019635 -0.059728543 -0.068339044  0.582569300
#>  [22,]      3   4 -0.121167923 -0.132413316 -0.073401106  0.607022706
#>  [23,]      3   5 -0.157807917 -0.045507865 -0.252294620 -0.405731429
#>  [24,]      3   6  0.718362030 -0.402109849 -0.176768898 -0.152660893
#>  [25,]      3   7  0.092745408  0.039196782  0.088337944  0.755448190
#>  [26,]      3   8 -0.448569125  0.442231436 -0.014670098  0.328236971
#>  [27,]      3   9 -0.180113696 -0.417090968  0.377009564  0.008289352
#>  [28,]      4   1 -0.193163213  0.655417050  0.428779677 -0.153277852
#>  [29,]      4   2 -0.311079153 -0.016048772 -0.204687238  0.579448049
#>  [30,]      4   3  0.250710363  0.310862735 -0.121138830  0.286209862
#>  [31,]      4   4 -0.390512583  0.172662110 -0.005828587 -0.671392158
#>  [32,]      4   5  0.135359116 -0.041548724  0.540840326  0.001377601
#>  [33,]      4   6 -0.195048806 -0.072260968  0.557153578 -0.230909691
#>  [34,]      4   7  0.179542288  0.197807134  0.385600708 -0.195920653
#>  [35,]      4   8 -0.092717152 -0.140261373  0.162742591 -0.286170912
#>  [36,]      4   9 -0.020789671 -0.131801189 -0.703241969 -0.142946169
#>  [37,]      5   1  0.234406258 -0.304105862  0.398626433  0.200351779
#>  [38,]      5   2 -0.223445599 -0.125755380 -0.194893388  0.306191757
#>  [39,]      5   3  0.291551984  0.225748560 -0.115592702  0.199346493
#>  [40,]      5   4  0.343214836 -0.213668131 -0.611215167 -0.175990359
#>  [41,]      5   5  0.369939262  0.392638381  0.178597885  0.068724668
#>  [42,]      5   6 -0.553018824 -0.041764111 -0.030486611 -0.126404216
#>  [43,]      5   7 -0.233456327  0.147104416 -0.117879167 -0.048547437
#>  [44,]      5   8 -0.104454791  0.193880527 -0.158074233  0.246981254
#>  [45,]      5   9 -0.282213699  0.236765787  0.104220977  0.324778506
#>  [46,]      6   1  0.085057070 -0.099034371  0.055043988  0.872996938
#>  [47,]      6   2 -0.296360903  0.339886814  0.397352859 -0.567646498
#>  [48,]      6   3  0.337702956 -0.449015211 -0.037855781  0.385770221
#>  [49,]      6   4  0.157051110 -0.594472709 -0.396153255 -0.090310572
#>  [50,]      6   5 -0.715601795 -0.015271842 -0.013279999  0.370888960
#>  [51,]      6   6 -0.068119511  0.096035206  0.434663683 -0.510100872
#>  [52,]      6   7 -0.119511531  0.510502063  0.276525473 -0.146239411
#>  [53,]      6   8 -0.542392976  0.168194232  0.370199704  0.447112652
#>  [54,]      6   9  0.249919946 -0.084167716 -0.124793068  0.128009830
#>  [55,]      7   1 -0.139969238 -0.216596124  0.287381213  0.331975279
#>  [56,]      7   2 -0.609448910  0.049923003 -0.366018065 -0.391815907
#>  [57,]      7   3 -0.192970721  0.561652990  0.425768097 -0.045519575
#>  [58,]      7   4  0.217370887  0.647146778 -0.289536093 -0.427671872
#>  [59,]      7   5 -0.421521977 -0.026076781  0.159112005  0.301151499
#>  [60,]      7   6  0.590491939 -0.200727943  0.145051793  0.303291453
#>  [61,]      7   7  0.276672087 -0.265489533  0.552626389 -0.429009865
#>  [62,]      7   8 -0.120820465  0.755275042  0.176308841 -0.427974251
#>  [63,]      7   9  0.438138963 -0.514225782  0.214303724  0.177142786
#>  [64,]      8   1 -0.058301647  0.009740369 -0.116967455 -0.465431771
#>  [65,]      8   2 -0.389201921  0.094549019  0.069585539  0.471526549
#>  [66,]      8   3 -0.272748175  0.287542485  0.017659028 -0.529253795
#>  [67,]      8   4 -0.365553156 -0.421662616  0.478759814  0.593035947
#>  [68,]      8   5 -0.133342058 -0.202188018  0.270914564 -0.465109215
#>  [69,]      8   6  0.134581547 -0.021626752 -0.616665288  0.202178676
#>  [70,]      8   7  0.252287432  0.420888576 -0.262151821 -0.316785169
#>  [71,]      8   8 -0.289689497  0.196529863 -0.204412904  0.019437730
#>  [72,]      8   9 -0.217481633 -0.463737798  0.037390735  0.646675603
#>  [73,]      9   1 -0.078065854 -0.194636016 -0.730589609  0.164753367
#>  [74,]      9   2  0.451785900  0.679240276 -0.112787837 -0.210639250
#>  [75,]      9   3  0.225781564 -0.402422196 -0.036676908 -0.298144982
#>  [76,]      9   4 -0.514940031  0.170780195  0.450989589  0.110356230
#>  [77,]      9   5  0.160307628  0.333342163  0.179460094  0.054521878
#>  [78,]      9   6 -0.081223116 -0.014411894 -0.224711864  0.123662168
#>  [79,]      9   7 -0.195942383  0.653296966 -0.597907088  0.113550354
#>  [80,]      9   8  0.159081757  0.058879258  0.023813041  0.299237122
#>  [81,]      9   9  0.000252681  0.158814327 -0.114419479  0.456086796
#>  [82,]     10   1 -0.440777148  0.544381890  0.131867656 -0.463431472
#>  [83,]     10   2 -0.254581326  0.310172723 -0.126667901  0.052671761
#>  [84,]     10   3 -0.323832670 -0.614123082  0.134074417 -0.021345006
#>  [85,]     10   4  0.412912369  0.614257624  0.028642658 -0.065774012
#>  [86,]     10   5  0.253462974 -0.195561349  0.234815377 -0.316250206
#>  [87,]     10   6 -0.299398141  0.031620615 -0.261021967 -0.213031434
#>  [88,]     10   7  0.118087200 -0.508734992  0.430191490 -0.126680789
#>  [89,]     10   8 -0.020387547  0.501335175 -0.280067457 -0.502789122
#>  [90,]     10   9 -0.095727140 -0.478121403  0.222903297 -0.460689581
#>  [91,]     11   1  0.172358597 -0.130857965 -0.075986251 -0.177756766
#>  [92,]     11   2  0.124441871  0.450239819 -0.180665207 -0.500255108
#>  [93,]     11   3 -0.086553701  0.003159350 -0.014185821  0.101604616
#>  [94,]     11   4 -0.288999014 -0.135538457  0.552503364 -0.111040611
#>  [95,]     11   5 -0.594170492 -0.176802170 -0.377837502  0.321449636
#>  [96,]     11   6  0.305049271  0.075961419 -0.104276928 -0.111224003
#>  [97,]     11   7 -0.441282624 -0.079845086 -0.287917758  0.014734151
#>  [98,]     11   8 -0.127807236  0.525089782 -0.327166978 -0.505811275
#>  [99,]     11   9 -0.167238374  0.588518823  0.214964229 -0.290047170
#> [100,]     12   1  0.237513374 -0.065314099  0.274116979 -0.095277535
#> [101,]     12   2 -0.052792573  0.429790850 -0.357479191 -0.046988434
#> [102,]     12   3 -0.218720508 -0.106839547 -0.273225329 -0.147669131
#> [103,]     12   4  0.225079043 -0.318954310  0.168640082  0.279658871
#> [104,]     12   5 -0.173693161  0.137515077 -0.584484785  0.126475211
#> [105,]     12   6  0.479649664  0.183249349 -0.415459884  0.058263118
#> [106,]     12   7  0.086581584  0.062193386 -0.039725353 -0.657620891
#> [107,]     12   8  0.128101876  0.377213376 -0.035592785 -0.197408254
#> [108,]     12   9  0.418708114 -0.507001077 -0.130298659  0.126553818
#> [109,]     13   1  0.228163518  0.580673383 -0.656824517  0.205157561
#> [110,]     13   2 -0.126533326  0.707641664 -0.026086690  0.250311868
#> [111,]     13   3 -0.102703093 -0.014346236 -0.012591073 -0.310287216
#> [112,]     13   4 -0.468026391  0.317076024 -0.297592084  0.414631401
#> [113,]     13   5 -0.229882447  0.245963636  0.428417243  0.282838479
#> [114,]     13   6  0.481459584 -0.086199062  0.362764579 -0.516805949
#> [115,]     13   7 -0.505130032  0.568899158 -0.045515475 -0.122063460
#> [116,]     13   8 -0.009862087  0.399610987 -0.179674571 -0.080527346
#> [117,]     13   9  0.009343122  0.262589691  0.341409571  0.210681802
#> [118,]     14   1  0.195301690  0.332105964 -0.217487156  0.290259429
#> [119,]     14   2 -0.010217008 -0.220839709 -0.141554378  0.322061106
#> [120,]     14   3 -0.183912843 -0.733921986  0.031753183 -0.082480794
#> [121,]     14   4  0.277040807  0.144748571 -0.134341048  0.656008272
#> [122,]     14   5 -0.265442563  0.012616732  0.308097467 -0.369592077
#> [123,]     14   6  0.028562470 -0.394305427  0.503645152  0.360450573
#> [124,]     14   7 -0.374159528  0.671799582  0.154010912  0.100182652
#> [125,]     14   8 -0.448765791  0.520284667  0.094836687 -0.083239541
#> [126,]     14   9 -0.631390600  0.400614286 -0.172855001 -0.117686323
#> [127,]     15   1  0.593049790  0.079571731 -0.047114671 -0.131550103
#> [128,]     15   2  0.108259402  0.240964609 -0.349190232 -0.602881565
#> [129,]     15   3  0.002433361  0.424794306 -0.288843748 -0.414198283
#> [130,]     15   4  0.723353415 -0.081602102 -0.138953679  0.065062377
#> [131,]     15   5  0.353887009 -0.320803383 -0.174567630 -0.029805967
#> [132,]     15   6  0.350274958 -0.740810749  0.172393592 -0.197634819
#> [133,]     15   7 -0.680364821  0.584977367  0.013426735 -0.127816748
#> [134,]     15   8  0.072700669  0.193087522  0.046087567  0.136489552
#> [135,]     15   9 -0.084528769  0.115283454 -0.558479672 -0.337224090
#> [136,]     16   1 -0.033937702  0.218921051 -0.400762895  0.281989299
#> [137,]     16   2  0.550797314 -0.410573757 -0.283116831 -0.308532121
#> [138,]     16   3 -0.183552785  0.209449662 -0.160832695  0.506316503
#> [139,]     16   4  0.211561170  0.080901459 -0.679166518  0.346709775
#> [140,]     16   5 -0.015886853  0.070958565  0.672002376 -0.086567708
#> [141,]     16   6  0.462162413 -0.211868095  0.048331283 -0.446285558
#> [142,]     16   7 -0.315511587  0.609794011  0.178166665 -0.627352876
#> [143,]     16   8 -0.066503505  0.772575787  0.149536995  0.252516592
#> [144,]     16   9 -0.335964977  0.536641238  0.059354081  0.241795552
#> [145,]     17   1  0.276617398  0.416329289 -0.162586027 -0.195668120
#> [146,]     17   2 -0.512716532 -0.189231471 -0.296832556 -0.660722400
#> [147,]     17   3 -0.011571665  0.347396906  0.292046224  0.044451435
#> [148,]     17   4 -0.182781892  0.064254611 -0.082030971 -0.560833927
#> [149,]     17   5 -0.468653323  0.165756911  0.521466772  0.191338909
#> [150,]     17   6 -0.009872075  0.282982268 -0.396484623  0.522955203
#> [151,]     17   7  0.464322750 -0.115991935  0.438876398 -0.220160811
#> [152,]     17   8 -0.173853178 -0.326674398  0.514115997 -0.096202102
#> [153,]     17   9 -0.277897089  0.004306249 -0.101943046  0.710090814
#> [154,]     18   1  0.163709812 -0.355931721 -0.151037758 -0.258387368
#> [155,]     18   2 -0.016326015  0.049593231 -0.495353100  0.473293567
#> [156,]     18   3  0.020387655  0.371584011  0.006962964  0.266093495
#> [157,]     18   4  0.091801170 -0.531648612 -0.024290131  0.301276114
#> [158,]     18   5 -0.140787142 -0.051290144  0.214749607  0.126493785
#> [159,]     18   6 -0.472827995  0.234412074 -0.332179454 -0.016316661
#> [160,]     18   7 -0.139551544 -0.358260201 -0.154571203  0.243364480
#> [161,]     18   8  0.417326072  0.116311486  0.282449633  0.090087145
#> [162,]     18   9  0.411698931 -0.173018787 -0.221518003  0.394613116
#> [163,]     19   1 -0.079023293 -0.283870361 -0.519742017  0.459685935
#> [164,]     19   2  0.316024194  0.184645676 -0.304035832 -0.137926909
#> [165,]     19   3  0.299069953 -0.276582338 -0.196170673  0.473662836
#> [166,]     19   4  0.271736061  0.355240520  0.068365867 -0.059008808
#> [167,]     19   5 -0.157380550 -0.746850895 -0.106086038  0.437996851
#> [168,]     19   6  0.173029701  0.589365490 -0.186135023  0.104207627
#> [169,]     19   7 -0.617546739  0.276556133  0.174303354  0.320561060
#> [170,]     19   8 -0.139343831 -0.402713352  0.062794577 -0.135927545
#> [171,]     19   9 -0.282213627 -0.442538405 -0.300314638 -0.263379119
#> [172,]     20   1  0.032854040  0.019044700 -0.384828570  0.600339371
#> [173,]     20   2  0.261211587  0.399658129  0.118143665  0.287271447
#> [174,]     20   3 -0.538844139 -0.372617554 -0.280791362  0.822592619
#> [175,]     20   4 -0.321204361 -0.029875632  0.050719163  0.209019132
#> [176,]     20   5  0.710498627  0.061435786 -0.046306210 -0.358910687
#> [177,]     20   6 -0.575966892  0.388287885  0.115067223 -0.101724919
#> [178,]     20   7  0.089236527  0.067407112 -0.352909829  0.766263081
#> [179,]     20   8 -0.055097184 -0.517166709 -0.321776250 -0.188964769
#> [180,]     20   9  0.110800593  0.145701198 -0.112573022 -0.191101437
#>             alphas5      alphas6      alphas7      alphas8
#>   [1,]  0.304737270  0.221042796 -0.075126184 -0.315950660
#>   [2,] -0.057138507 -0.242766845 -0.149501409  0.594785065
#>   [3,] -0.013815827  0.122770576  0.383820202 -0.339029873
#>   [4,]  0.093021764  0.252216195  0.203179529 -0.578426365
#>   [5,] -0.269994226 -0.055873621  0.566814195 -0.515592600
#>   [6,]  0.504581603  0.270553782 -0.804252950 -0.009189593
#>   [7,]  0.191157934  0.090081014  0.124364534  0.284393491
#>   [8,] -0.101727826 -0.184710119  0.038332742  0.102293567
#>   [9,] -0.261721876 -0.104434354  0.352642730  0.647679620
#>  [10,] -0.046743037  0.119058962  0.385592493 -0.353515468
#>  [11,] -0.148856184  0.415925910 -0.381747762 -0.195463623
#>  [12,] -0.103810676  0.341026171 -0.243021520 -0.550198041
#>  [13,]  0.310427201 -0.680185731 -0.080777710 -0.092190867
#>  [14,] -0.060555544  0.199202784 -0.138862345 -0.513914431
#>  [15,]  0.394846875 -0.035602941  0.589425869  0.467964634
#>  [16,] -0.052370534 -0.189142344 -0.121406865  0.233088324
#>  [17,] -0.488290659  0.198454537  0.154234721 -0.284933633
#>  [18,]  0.003472142  0.371137140  0.369020466  0.546308301
#>  [19,]  0.035758807  0.555973361 -0.173171313 -0.062797486
#>  [20,] -0.416472041  0.177946244  0.227463995 -0.278463566
#>  [21,]  0.199821478  0.464378266 -0.437614183 -0.413833472
#>  [22,]  0.182693840 -0.427546624  0.116320973  0.382850935
#>  [23,] -0.410026607 -0.064890290  0.256916822  0.151994127
#>  [24,]  0.079183559 -0.408603741  0.148297151 -0.312099053
#>  [25,] -0.349422749 -0.053899932 -0.087318217 -0.065457231
#>  [26,] -0.397288207 -0.263310621  0.506145091 -0.182889019
#>  [27,] -0.233764259  0.069418052  0.727988235 -0.168847262
#>  [28,] -0.025816162 -0.076610450  0.129333008 -0.453582905
#>  [29,] -0.206291599 -0.516387616 -0.357509126  0.159903204
#>  [30,] -0.049693119  0.281636028 -0.645349952  0.472015070
#>  [31,]  0.121532243  0.004572874 -0.375344911  0.284603633
#>  [32,] -0.433478344  0.102574425 -0.393487557  0.237018899
#>  [33,]  0.428438464 -0.350470683 -0.442861937  0.431260985
#>  [34,] -0.430821582  0.225863740  0.068943741  0.337125978
#>  [35,] -0.552192992 -0.144814990  0.647345108  0.265312719
#>  [36,]  0.527525631  0.196581641 -0.195134279  0.204493285
#>  [37,]  0.193156480  0.335661807 -0.646783552 -0.187867743
#>  [38,]  0.534217264 -0.482031309 -0.427035066 -0.127994422
#>  [39,]  0.034057986  0.409011747 -0.369272485  0.324117424
#>  [40,] -0.647191323  0.299577146 -0.328418994 -0.157876667
#>  [41,]  0.573475704  0.263658976  0.299706393 -0.430414679
#>  [42,]  0.045247367 -0.584493044  0.386460879  0.623324384
#>  [43,] -0.167522393 -0.004991312 -0.115068589 -0.036287862
#>  [44,]  0.036324698 -0.682661928  0.619360924  0.300077687
#>  [45,] -0.524704156  0.421438324 -0.425407664 -0.154955762
#>  [46,] -0.134404805 -0.014040524 -0.206245855 -0.263011538
#>  [47,]  0.026331156  0.112518692 -0.265782474  0.068651706
#>  [48,]  0.328547595 -0.187785046  0.409159734 -0.064261869
#>  [49,] -0.190886228 -0.044159970  0.177022813  0.521598631
#>  [50,]  0.507459747 -0.273776673 -0.384707826 -0.036414156
#>  [51,]  0.234960403  0.222679616 -0.622170763  0.066846243
#>  [52,]  0.195779216 -0.384410906 -0.549816076  0.106889978
#>  [53,]  0.002970592 -0.117393602  0.114235495  0.383591911
#>  [54,]  0.127424844 -0.778725171 -0.199456047  0.298195470
#>  [55,] -0.186122957  0.241343599  0.487709007 -0.196271870
#>  [56,]  0.154217083 -0.296806419 -0.013429060  0.495247096
#>  [57,] -0.148346052 -0.132969022 -0.336166552 -0.337748469
#>  [58,]  0.105779408  0.559662075  0.163709745 -0.414144101
#>  [59,] -0.261318957 -0.624664156  0.143821296 -0.132298276
#>  [60,]  0.036352853 -0.199838621 -0.310025871 -0.133576673
#>  [61,]  0.454658066  0.053984021  0.261336763 -0.128286279
#>  [62,] -0.305337982 -0.122195257 -0.088306412 -0.571054741
#>  [63,] -0.099284530  0.243943141  0.235332992 -0.124296553
#>  [64,]  0.400154858  0.633732039  0.155749880 -0.169474352
#>  [65,] -0.626476739 -0.006802433 -0.335805108  0.318628864
#>  [66,]  0.161961746  0.144901372  0.260490752  0.252696856
#>  [67,] -0.416663057  0.341592501 -0.063273435  0.075032770
#>  [68,]  0.299984367  0.393730388 -0.288191372 -0.388739133
#>  [69,]  0.284747567 -0.206550487  0.434270208  0.357667662
#>  [70,] -0.338935040 -0.340691361  0.623288120  0.198296979
#>  [71,]  0.155413994 -0.613178822 -0.085685463  0.058352458
#>  [72,] -0.472549041  0.289508162  0.053294061  0.068547452
#>  [73,]  0.428297269 -0.060607427  0.052622353 -0.033559983
#>  [74,]  0.029952633  0.209085265  0.052197201 -0.470407657
#>  [75,]  0.369816850  0.341264761 -0.096407228 -0.386682248
#>  [76,] -0.793044552  0.214139088 -0.361371289  0.102288760
#>  [77,]  0.188931858  0.309744646 -0.039570735 -0.747559502
#>  [78,]  0.485138438  0.016506411  0.115965284  0.275760634
#>  [79,] -0.222162892 -0.159067286  0.317391722 -0.105284220
#>  [80,] -0.127788397 -0.840606987  0.215276703 -0.520767080
#>  [81,]  0.509927387 -0.456987090  0.064379442 -0.097286984
#>  [82,]  0.050382353  0.349884425  0.246139784 -0.163866162
#>  [83,]  0.191427736  0.142773307 -0.189288286  0.556866412
#>  [84,] -0.263240759 -0.498753379 -0.076294144 -0.330253780
#>  [85,]  0.093526742 -0.682012016  0.207662418  0.470130071
#>  [86,]  0.680058575  0.500224953 -0.226090358 -0.175012982
#>  [87,] -0.037349262  0.056862502 -0.171772344  0.232716204
#>  [88,]  0.453048310 -0.483717579 -0.311469057  0.527631692
#>  [89,]  0.012820531  0.175712816 -0.102787031 -0.115624924
#>  [90,]  0.344190649  0.474466199 -0.207866123  0.316469026
#>  [91,]  0.116789696  0.254688888  0.483288417 -0.766966487
#>  [92,]  0.314241504  0.510202999 -0.161392303 -0.348977353
#>  [93,] -0.289407916  0.310082911 -0.550784826  0.314725142
#>  [94,]  0.521110000  0.253761142  0.018677855  0.144852143
#>  [95,] -0.548208784 -0.532906675  0.318530709  0.381292762
#>  [96,]  0.215782229  0.319233908 -0.467426168  0.143377963
#>  [97,]  0.232941902  0.566183713  0.056123705 -0.163708928
#>  [98,]  0.555075707  0.052982456 -0.064777234  0.488202033
#>  [99,]  0.037049664 -0.315526150 -0.250176043 -0.305747011
#> [100,] -0.476206612  0.690068582 -0.160603187 -0.351504928
#> [101,]  0.626056602 -0.261867536 -0.317861383  0.253909148
#> [102,] -0.619781734  0.230893401  0.280494713  0.454523265
#> [103,] -0.178722586  0.265679191 -0.385896151  0.513468332
#> [104,] -0.109593208 -0.240774822  0.253963584  0.344779011
#> [105,] -0.554076813  0.232266147 -0.289963190 -0.137362086
#> [106,]  0.125639829  0.617990573 -0.236758511  0.621060383
#> [107,] -0.291280638 -0.504935560  0.139600113  0.610640745
#> [108,]  0.027734872 -0.197833559  0.000565986 -0.349070241
#> [109,]  0.152761903 -0.220584974  0.052744300 -0.215557849
#> [110,] -0.239030585  0.173537429 -0.205607995 -0.543716361
#> [111,] -0.292330514  0.469973491  0.216894738  0.376883024
#> [112,] -0.386337687 -0.381096259  0.020781667 -0.395316035
#> [113,]  0.125114477 -0.551734629 -0.053616860  0.192226166
#> [114,]  0.046791694 -0.259970164 -0.023235653 -0.303640494
#> [115,]  0.293359881  0.397296239 -0.178634990  0.021296509
#> [116,] -0.405047940 -0.289220158  0.722059596 -0.221014164
#> [117,] -0.766213526 -0.019265826  0.333167419 -0.150698089
#> [118,] -0.183512405 -0.116583975  0.416594718 -0.706461256
#> [119,]  0.185588512  0.363925994  0.252386112  0.156267190
#> [120,] -0.271740702 -0.199328550 -0.489209638  0.723558172
#> [121,] -0.327295565 -0.234042819  0.311679491 -0.092028938
#> [122,] -0.109909405  0.407962171 -0.066874011 -0.439031823
#> [123,] -0.290499700  0.207947812 -0.203237189 -0.492839877
#> [124,] -0.182627062  0.118922699 -0.561163227 -0.195547513
#> [125,]  0.269052179  0.250390427  0.154152112  0.019857176
#> [126,] -0.177418097  0.527184433 -0.118863894  0.270558020
#> [127,] -0.438042301  0.111388535  0.291438559 -0.567000943
#> [128,]  0.083107608  0.250113127  0.295797179 -0.345138395
#> [129,] -0.168098478 -0.159814556  0.228519232  0.299638200
#> [130,] -0.526566299  0.671892500 -0.077763813  0.038665205
#> [131,]  0.161450054 -0.329382009  0.156516359  0.144948464
#> [132,]  0.282244149  0.126438881  0.341870211  0.020814715
#> [133,] -0.194788136 -0.084558203 -0.573837086  0.281563960
#> [134,] -0.054516484 -0.560680112  0.459104412 -0.141813811
#> [135,] -0.079725810  0.098225517  0.372687551  0.615575630
#> [136,]  0.145103652 -0.612031739 -0.091093973 -0.058985006
#> [137,] -0.213561270  0.375127014  0.233777767  0.580982322
#> [138,] -0.302597084  0.214077498  0.237200547 -0.107460880
#> [139,] -0.404116021 -0.497193505 -0.018229384 -0.067677245
#> [140,]  0.665355307 -0.200441083  0.013838372 -0.132880428
#> [141,] -0.198212211 -0.180051411  0.087365018 -0.041491087
#> [142,]  0.243868509  0.045212758 -0.129373848 -0.424805159
#> [143,] -0.267188310 -0.181301255 -0.105457297 -0.285022278
#> [144,] -0.554488668  0.161120872  0.319488652 -0.142924472
#> [145,] -0.170868446 -0.119072191  0.601191115 -0.133226487
#> [146,]  0.115408188 -0.051118932  0.263751298  0.482920633
#> [147,] -0.415957906  0.582871551  0.242176006 -0.545029059
#> [148,]  0.324792769  0.035833848 -0.081894718 -0.127807240
#> [149,]  0.275775044  0.217841653 -0.453586825 -0.397660249
#> [150,] -0.041950396 -0.451008351  0.447603709 -0.124944224
#> [151,] -0.134878233 -0.303819304 -0.117287794  0.441533820
#> [152,] -0.090840770 -0.500342356  0.349550781 -0.288999359
#> [153,]  0.080666233  0.139421432  0.230071042 -0.495716275
#> [154,]  0.106760185  0.449848042  0.550790532 -0.489425709
#> [155,]  0.030379689 -0.245046962 -0.494667961  0.289829870
#> [156,] -0.015150351  0.659403644 -0.449916390 -0.003255790
#> [157,] -0.424480675 -0.643055493  0.450948260  0.166145688
#> [158,]  0.377394286  0.106660011 -0.155525857 -0.317743939
#> [159,]  0.576127534  0.599567097  0.112605572  0.005911144
#> [160,]  0.263259209 -0.572324555  0.443356155 -0.268858385
#> [161,] -0.557940983 -0.323194093 -0.199537030  0.265218564
#> [162,] -0.578826957  0.097936670 -0.382285236  0.186181704
#> [163,]  0.244182769  0.124858267  0.202327651 -0.464443144
#> [164,] -0.098034195  0.725492316 -0.390576127 -0.002052544
#> [165,] -0.451673834  0.184844535 -0.202916225 -0.503089088
#> [166,]  0.358549131 -0.016858727  0.003255940  0.286383096
#> [167,] -0.104042504  0.352265316 -0.424031314  0.007617284
#> [168,] -0.512276578 -0.543657243  0.043475483 -0.019501917
#> [169,]  0.034127235  0.331682634  0.555707632  0.396647522
#> [170,]  0.239924102 -0.518507675 -0.058581428  0.437477082
#> [171,]  0.216038621 -0.146124046  0.406711736  0.374342396
#> [172,] -0.611641533 -0.133547034  0.051560152  0.165007288
#> [173,]  0.471733751 -0.009442764 -0.058288162 -0.297614372
#> [174,] -0.278544490 -0.009650519  0.195259817 -0.148505235
#> [175,]  0.058627201 -0.555958830 -0.063349538 -0.015055481
#> [176,] -0.390256316  0.284493630  0.488484372 -0.117240152
#> [177,] -0.091144831 -0.109781787  0.177388099 -0.093339174
#> [178,] -0.077907634 -0.466356396  0.608948474  0.264182822
#> [179,]  0.162811929 -0.223480617  0.270542305  0.265291948
#> [180,] -0.172551303 -0.252591030  0.708456430 -0.501433378
fm1$gammas1
#>        .nIter Env      gammas1       gammas2       gammas3       gammas4
#>   [1,]      1   1 -0.088080437  0.0169289314 -2.260302e-01  0.2792854845
#>   [2,]      1   2 -0.082008442 -0.1378058388  5.141862e-01  0.1410276657
#>   [3,]      1   3  0.032791984  0.1668134645  3.238844e-02 -0.0451751803
#>   [4,]      1   4 -0.024655081  0.1518751733 -9.643574e-03  0.1820810881
#>   [5,]      1   5  0.128064407 -0.0140610307 -2.975399e-01  0.0296682924
#>   [6,]      1   6 -0.300828335 -0.2910606291  1.737186e-01 -0.0047239179
#>   [7,]      1   7  0.023988318  0.0489943474  3.236308e-01  0.0504241540
#>   [8,]      1   8 -0.094646723 -0.1955346429 -3.776906e-01  0.2579411782
#>   [9,]      1   9  0.021432973 -0.3589039643  6.140260e-02  0.3804708082
#>  [10,]      1  10  0.074472373  0.3274119557  2.353839e-01  0.2818634305
#>  [11,]      1  11 -0.447236531  0.1190362619 -3.032808e-01  0.0885662320
#>  [12,]      1  12  0.305106104 -0.2206346950 -1.726423e-01  0.0485658791
#>  [13,]      1  13  0.157604403 -0.2030152189  3.642546e-01  0.2844215968
#>  [14,]      1  14 -0.381388669 -0.0504726480  2.167918e-01 -0.2036668945
#>  [15,]      1  15  0.024415336  0.1793595110 -1.978078e-01 -0.0767709771
#>  [16,]      1  16 -0.190675825  0.0382156188  1.160644e-01  0.1795394994
#>  [17,]      1  17  0.106896371 -0.1169586058 -1.542234e-01 -0.3357076025
#>  [18,]      1  18  0.264941238 -0.0044419099 -2.004489e-01 -0.2934723720
#>  [19,]      1  19  0.365286088 -0.2942032907 -6.650671e-02  0.1492002968
#>  [20,]      1  20 -0.175754790  0.0394942797 -2.059050e-01 -0.2719774980
#>  [21,]      2   1  0.027911943 -0.0138501267 -6.693790e-02  0.2610694269
#>  [22,]      2   2  0.179930013 -0.0264722661  2.267354e-01  0.2078891547
#>  [23,]      2   3 -0.188772552  0.0269962265  1.875901e-01  0.3072300814
#>  [24,]      2   4  0.105544283 -0.0828073973  2.777676e-01 -0.2516996229
#>  [25,]      2   5 -0.297038060 -0.0968596760 -2.104420e-01  0.2339085836
#>  [26,]      2   6  0.257110699  0.2950641788 -1.489378e-01 -0.2731469609
#>  [27,]      2   7  0.366047683  0.0846577418  2.922732e-01 -0.0345932275
#>  [28,]      2   8  0.091138147 -0.4380070178 -1.126203e-01  0.1289046718
#>  [29,]      2   9  0.303233648  0.1773490224 -2.054395e-02 -0.4244885289
#>  [30,]      2  10 -0.406387247 -0.0647959153 -3.215358e-01 -0.2220580290
#>  [31,]      2  11  0.397207323 -0.0886269158 -1.757307e-01 -0.5241326439
#>  [32,]      2  12  0.076799539 -0.2392170139 -3.225498e-01 -0.0479845458
#>  [33,]      2  13 -0.028637361  0.1085067749  4.786691e-01  0.0317383867
#>  [34,]      2  14 -0.004992107  0.1154833697 -1.722063e-01  0.3300560209
#>  [35,]      2  15 -0.173518269 -0.3552727995 -8.989463e-02 -0.0295608023
#>  [36,]      2  16  0.111113829 -0.3479635707 -3.834797e-01  0.2825313230
#>  [37,]      2  17  0.096370351 -0.0114060461  8.997518e-02 -0.1267030094
#>  [38,]      2  18  0.379689078  0.3165684746 -1.679187e-01  0.0171203139
#>  [39,]      2  19 -0.383486211 -0.2195928462  4.817274e-01  0.3701257443
#>  [40,]      2  20 -0.313990129  0.0553478497 -1.809391e-01 -0.1848612003
#>  [41,]      3   1 -0.232415937 -0.0406227064 -3.783374e-01 -0.3485737694
#>  [42,]      3   2 -0.013703028 -0.0978332415  1.860850e-01  0.2218582012
#>  [43,]      3   3 -0.138317870  0.0383118963  1.666407e-01 -0.0655376864
#>  [44,]      3   4 -0.123648587 -0.2343528935 -2.726480e-01  0.2184903362
#>  [45,]      3   5  0.001077557  0.1071143467  1.544366e-01 -0.3543467023
#>  [46,]      3   6  0.415029395 -0.1381777275 -9.995522e-02 -0.1516252083
#>  [47,]      3   7 -0.021519990 -0.2320458178 -1.925682e-01 -0.0606303332
#>  [48,]      3   8  0.535916123 -0.0453344464 -2.411514e-01 -0.3604133314
#>  [49,]      3   9  0.034336632 -0.0538983051  1.678168e-02 -0.2503555749
#>  [50,]      3  10 -0.246623614  0.0026175073  3.962368e-02  0.1103192843
#>  [51,]      3  11 -0.064200121 -0.1055328493 -8.508152e-02 -0.1988685316
#>  [52,]      3  12 -0.024047173 -0.4562491914  3.346725e-02 -0.1617516365
#>  [53,]      3  13  0.159424285  0.4599526430  1.688757e-01  0.1236417583
#>  [54,]      3  14 -0.198912036  0.1574313677 -1.093843e-02 -0.1194356942
#>  [55,]      3  15  0.226697590 -0.2524037320 -3.433959e-01  0.3853246450
#>  [56,]      3  16  0.022041846  0.0378298054 -3.158831e-01  0.1142346647
#>  [57,]      3  17  0.187634433 -0.1396257338  1.589820e-01  0.2708927809
#>  [58,]      3  18  0.001696658  0.0589687986 -8.975482e-02  0.0007732273
#>  [59,]      3  19  0.270575093  0.3884569056 -1.669397e-02 -0.0101087215
#>  [60,]      3  20  0.011272421 -0.5401323685 -1.609161e-01 -0.2659486617
#>  [61,]      4   1  0.107333098 -0.0244107726 -9.600350e-02 -0.2148500630
#>  [62,]      4   2 -0.109174526 -0.0019089335  2.125292e-01 -0.1271791459
#>  [63,]      4   3  0.194626345  0.0233625983  1.076937e-01 -0.4897083092
#>  [64,]      4   4 -0.221160314 -0.2657850050 -2.645323e-01 -0.0043729119
#>  [65,]      4   5  0.016330380  0.0769637871 -2.875767e-01  0.0635410554
#>  [66,]      4   6  0.124062808 -0.0150694975  2.691372e-03 -0.0355712619
#>  [67,]      4   7  0.323221837  0.2488430289  2.031323e-01 -0.3227306806
#>  [68,]      4   8 -0.087251598 -0.0323310196 -4.615559e-01 -0.0555109606
#>  [69,]      4   9 -0.183761683 -0.0922034273  6.608700e-02 -0.0192459632
#>  [70,]      4  10  0.208549713  0.2199856052 -2.894791e-02  0.1595520623
#>  [71,]      4  11  0.045116033 -0.0977766514 -9.195531e-03  0.0412075065
#>  [72,]      4  12 -0.174668494 -0.4977560872 -2.373342e-03  0.2774305821
#>  [73,]      4  13  0.254716054 -0.3089455467  7.115959e-03  0.1861456450
#>  [74,]      4  14  0.016712210  0.0960104435  2.886540e-01 -0.4278670323
#>  [75,]      4  15  0.261109463 -0.2506632978  2.055183e-01  0.1471130328
#>  [76,]      4  16 -0.389393959 -0.0509354112 -1.357175e-01  0.0961627083
#>  [77,]      4  17  0.055018409  0.1306392878  4.096241e-01  0.1383236090
#>  [78,]      4  18  0.198191834 -0.2728275756 -2.331763e-01  0.2378059642
#>  [79,]      4  19  0.245202058 -0.1398505122  3.786115e-03  0.3394083859
#>  [80,]      4  20 -0.080924860  0.4543529326  1.361213e-02 -0.0656038370
#>  [81,]      5   1  0.346953714 -0.2969451654  1.274161e-01 -0.1302703097
#>  [82,]      5   2  0.543676329 -0.0140833811  1.797237e-01 -0.0592036048
#>  [83,]      5   3  0.121953766 -0.0897322023  2.264090e-02 -0.0373585067
#>  [84,]      5   4 -0.224849897 -0.2201862320  2.521742e-01 -0.1392230255
#>  [85,]      5   5  0.335273665  0.1893855869  2.013333e-01 -0.2227547466
#>  [86,]      5   6  0.130249141  0.0076025407  3.592967e-01  0.0171044510
#>  [87,]      5   7  0.044352679 -0.4426749067 -2.479509e-01  0.4572646782
#>  [88,]      5   8 -0.015571611  0.0849921108  1.537288e-01 -0.1306636150
#>  [89,]      5   9  0.367721161 -0.1003412456 -1.888448e-02  0.2718049942
#>  [90,]      5  10  0.122030615 -0.1779455951 -3.286696e-01  0.1696688967
#>  [91,]      5  11 -0.348764477  0.1010760912 -1.721423e-01 -0.1224556469
#>  [92,]      5  12  0.424994880  0.3607632771  1.451906e-02  0.1115783440
#>  [93,]      5  13 -0.121116379  0.0976908097  6.653718e-02 -0.3106922044
#>  [94,]      5  14 -0.166768216 -0.0125936486  5.909580e-02 -0.0077078883
#>  [95,]      5  15 -0.035988378  0.4619329827 -1.144085e-02  0.2047435618
#>  [96,]      5  16 -0.270465727  0.3311561576  1.107317e-04  0.2262063370
#>  [97,]      5  17 -0.095150342 -0.0717143790  4.479554e-01  0.0310550317
#>  [98,]      5  18  0.095331456  0.2490203406 -6.398560e-02 -0.1469782814
#>  [99,]      5  19  0.236047604  0.0166816804  5.876545e-02  0.2323523320
#> [100,]      5  20  0.447179372  0.1338677743  8.458074e-02  0.1941088970
#> [101,]      6   1  0.280757094 -0.2228777601  1.030164e-01  0.5247396220
#> [102,]      6   2 -0.102980874  0.1299714043  9.454848e-02 -0.0322157297
#> [103,]      6   3 -0.267378252 -0.0665157855  3.969119e-02 -0.0332883212
#> [104,]      6   4  0.390975765 -0.3906584955  2.129942e-01 -0.0396131276
#> [105,]      6   5 -0.060385782 -0.1273500488 -1.049245e-01  0.0583035612
#> [106,]      6   6  0.025120604  0.2061886159  2.389681e-01  0.1814061534
#> [107,]      6   7 -0.242431978 -0.5633954284 -1.667175e-01  0.3276042817
#> [108,]      6   8  0.321759079 -0.2220308769 -9.136880e-02 -0.0518816526
#> [109,]      6   9  0.093692357 -0.0565454234 -1.716907e-01  0.0510311090
#> [110,]      6  10 -0.131680463 -0.1483323480  4.704217e-01 -0.1665910897
#> [111,]      6  11  0.076144662 -0.1961778353  6.617121e-02 -0.3854989774
#> [112,]      6  12  0.414006898 -0.3129669872  1.789789e-01  0.1531437667
#> [113,]      6  13 -0.121614010 -0.0232044169 -1.761372e-02  0.0287530889
#> [114,]      6  14 -0.074203153 -0.0677570406  4.611628e-01 -0.1375915001
#> [115,]      6  15 -0.253049456  0.0486955480  2.722123e-01 -0.3436541050
#> [116,]      6  16 -0.051901777 -0.1200783742 -5.829299e-02  0.2693571709
#> [117,]      6  17  0.099732176 -0.4593862145 -4.697672e-02 -0.1499717435
#> [118,]      6  18  0.073104889  0.0793064270 -7.265615e-02 -0.0571770126
#> [119,]      6  19 -0.021773134 -0.1893887454 -1.471751e-01 -0.0207216378
#> [120,]      6  20 -0.281629576  0.6372477220 -6.892809e-02  0.0481785285
#> [121,]      7   1 -0.163688566  0.3004198381  2.784329e-01 -0.1859984871
#> [122,]      7   2  0.196952995 -0.3332498692  1.341335e-01  0.3290810232
#> [123,]      7   3 -0.059547646 -0.0275869176  5.820715e-03 -0.1934464805
#> [124,]      7   4  0.216383317 -0.2129001856  6.097739e-02 -0.0637201039
#> [125,]      7   5 -0.041632719  0.3740303304 -6.171058e-02  0.1159581266
#> [126,]      7   6  0.471307796 -0.0466497342  2.163662e-01  0.2582429367
#> [127,]      7   7  0.104120705  0.1137365715 -3.853021e-02  0.2121612560
#> [128,]      7   8 -0.056543180 -0.3170802734 -3.208546e-01  0.0090843652
#> [129,]      7   9 -0.278027469  0.0981510819  3.085957e-01  0.1196446368
#> [130,]      7  10 -0.492701265 -0.1766840399 -1.423435e-01 -0.0240102574
#> [131,]      7  11  0.132746768 -0.3729805019  3.726469e-01 -0.0603057985
#> [132,]      7  12 -0.130714190 -0.0044273912 -1.881841e-01 -0.0842060814
#> [133,]      7  13 -0.067735479 -0.1457245827  3.922217e-01  0.1921045200
#> [134,]      7  14  0.153974159 -0.3286554504  9.453288e-02  0.3657489177
#> [135,]      7  15 -0.025379968  0.1907264263  2.295213e-01  0.1424054172
#> [136,]      7  16  0.292852067 -0.1461557541 -3.306980e-01 -0.0034199941
#> [137,]      7  17 -0.259070354 -0.0471714513  4.602523e-01  0.1513470657
#> [138,]      7  18 -0.194008000  0.0554723274  1.404311e-01  0.1319818563
#> [139,]      7  19 -0.262290384 -0.1655671354  1.640010e-01  0.0151105157
#> [140,]      7  20  0.089569978 -0.4211641391  1.702725e-01  0.1576201209
#> [141,]      8   1  0.386689519 -0.3337901101  7.149810e-02  0.3501074575
#> [142,]      8   2 -0.153758618  0.0109496306  1.999987e-01  0.1135876500
#> [143,]      8   3  0.107163160  0.1360371039 -1.819602e-02 -0.1844947744
#> [144,]      8   4  0.073763103 -0.0754860042 -2.612471e-01 -0.2064991157
#> [145,]      8   5 -0.233968320 -0.0097699920  1.051273e-01  0.2420684698
#> [146,]      8   6  0.013578910  0.0770142624 -1.370147e-01 -0.0739278983
#> [147,]      8   7 -0.299066094 -0.4069010605  2.617956e-01 -0.2672752047
#> [148,]      8   8  0.262549542 -0.2112825132  4.330383e-01  0.0400661921
#> [149,]      8   9 -0.243364392  0.1808103020 -3.879184e-01  0.1329623128
#> [150,]      8  10 -0.032225370  0.1972216990 -2.486969e-01  0.1739667687
#> [151,]      8  11  0.035109211  0.4257120473 -1.662739e-01 -0.0407896302
#> [152,]      8  12  0.220686545 -0.0832666190 -5.034610e-02  0.4720805469
#> [153,]      8  13  0.088915731 -0.0364166952 -2.643868e-02 -0.2632924111
#> [154,]      8  14 -0.118916411  0.0776843715 -1.081427e-01 -0.1557764914
#> [155,]      8  15  0.510060472 -0.0780896509 -2.004582e-02  0.3069621070
#> [156,]      8  16  0.049387847 -0.1110882768  3.374436e-01 -0.0633902003
#> [157,]      8  17 -0.117210616 -0.3504711668  1.814340e-01  0.2868786845
#> [158,]      8  18 -0.119363008  0.3799463335 -2.302123e-01 -0.1635189057
#> [159,]      8  19  0.065346547  0.1494867379  7.286484e-02 -0.1365156251
#> [160,]      8  20 -0.261260470  0.2508257036 -1.996630e-01  0.0031073977
#> [161,]      9   1  0.255545703 -0.0780484405  5.779365e-02 -0.0869599338
#> [162,]      9   2 -0.322915157  0.0886302522 -1.878666e-02 -0.6024908218
#> [163,]      9   3  0.034436374  0.1235331740 -1.304286e-01  0.0657514201
#> [164,]      9   4 -0.088985783  0.0604484988  1.916518e-01  0.0588683497
#> [165,]      9   5  0.179890584  0.1486641644  3.572660e-01 -0.3821110969
#> [166,]      9   6 -0.061039908  0.1004496770  9.492371e-02  0.1512120451
#> [167,]      9   7  0.208137614 -0.1948525241 -5.016196e-01  0.0961900028
#> [168,]      9   8  0.169259758  0.0767560109 -7.122491e-02  0.2908561655
#> [169,]      9   9 -0.076575094 -0.3556595300 -3.172493e-02 -0.0831001871
#> [170,]      9  10 -0.170301374  0.3088631839 -4.546974e-01 -0.2508207336
#> [171,]      9  11 -0.401839621 -0.0074023945 -2.001372e-01  0.1158976108
#> [172,]      9  12  0.091163869  0.1352973563  3.652618e-02  0.0036343814
#> [173,]      9  13  0.042929866 -0.3707970659 -1.810020e-01  0.1207226805
#> [174,]      9  14  0.347753836  0.1822499734  1.437884e-01  0.1558296519
#> [175,]      9  15 -0.178343381  0.0415173859 -1.753701e-01  0.3657269692
#> [176,]      9  16 -0.326202296  0.4391434173 -4.924444e-04 -0.2225641150
#> [177,]      9  17  0.042988700 -0.2321334435  3.564259e-02  0.2774077131
#> [178,]      9  18 -0.125944218  0.0839667784 -3.295233e-01 -0.0860299050
#> [179,]      9  19  0.096855921  0.1518651756 -1.915259e-01 -0.0762538275
#> [180,]      9  20  0.016127570 -0.0801426606 -3.928392e-01  0.2443627848
#> [181,]     10   1  0.052005052  0.1831124157 -8.034385e-02 -0.1006441144
#> [182,]     10   2  0.240227352  0.0129517190  1.648199e-01 -0.2430254412
#> [183,]     10   3  0.087718985  0.2081330859  3.603042e-01 -0.1831971557
#> [184,]     10   4 -0.130699158  0.4734626201  1.021554e-01  0.0520573371
#> [185,]     10   5 -0.061558606  0.1993326172  9.189514e-02 -0.0381404139
#> [186,]     10   6 -0.217606173 -0.3526888476  1.318002e-01 -0.4658863196
#> [187,]     10   7  0.507100949  0.1059735817  1.925932e-01  0.0468588822
#> [188,]     10   8  0.039796303  0.1060557466 -2.134025e-01 -0.2575344930
#> [189,]     10   9 -0.008115602 -0.3429266341 -2.665842e-01  0.0944372018
#> [190,]     10  10 -0.254669003 -0.0928207393 -1.128873e-01  0.0027772490
#> [191,]     10  11 -0.058029534  0.0008017486 -8.809668e-02  0.1725907577
#> [192,]     10  12 -0.261647722  0.2528520949 -1.912956e-01  0.1292834871
#> [193,]     10  13  0.145582452  0.0466211371 -3.799291e-02 -0.0730885982
#> [194,]     10  14 -0.099108550 -0.2531195014  4.897154e-01  0.0162381679
#> [195,]     10  15 -0.209643330  0.1759207258 -2.722620e-01  0.0988696903
#> [196,]     10  16  0.082328595  0.2878716586 -9.245008e-02 -0.4018753455
#> [197,]     10  17 -0.018938140 -0.2077535106 -1.765328e-01  0.5028959119
#> [198,]     10  18 -0.111679199  0.1658893968 -3.294969e-01  0.1677620278
#> [199,]     10  19  0.128525834 -0.2356281138  1.679335e-01 -0.2643467141
#> [200,]     10  20  0.446893338  0.2643639603  5.527145e-02  0.0002370589
#> [201,]     11   1 -0.217613101 -0.1155905388  3.126703e-01 -0.0644109866
#> [202,]     11   2  0.292278463 -0.3114361244 -1.903366e-02  0.1256566719
#> [203,]     11   3  0.156449608  0.1888803911 -2.529477e-01 -0.1843446317
#> [204,]     11   4  0.062438678  0.0913894619 -1.908389e-01 -0.3321804386
#> [205,]     11   5 -0.181159670  0.0339558357  2.163216e-01 -0.0450779220
#> [206,]     11   6  0.350366381  0.2849491908 -1.961329e-01 -0.2255799487
#> [207,]     11   7  0.049064582 -0.2234830054  2.077164e-01  0.0483386124
#> [208,]     11   8  0.286636082  0.3696548052 -3.827188e-01 -0.2638867981
#> [209,]     11   9 -0.153503830 -0.1591021210  9.803354e-03  0.1069387748
#> [210,]     11  10 -0.531806262  0.4921218337 -1.027762e-01 -0.0311375333
#> [211,]     11  11  0.270930365  0.1766924651 -2.352868e-01  0.3763976757
#> [212,]     11  12  0.030388933 -0.0474988976  1.152435e-01 -0.0225113694
#> [213,]     11  13  0.258848605 -0.1775619613  1.016703e-01 -0.0473741975
#> [214,]     11  14 -0.118905491 -0.2677792438 -4.791064e-02 -0.2910057458
#> [215,]     11  15 -0.153920929 -0.3515424691 -3.031473e-01  0.4160354876
#> [216,]     11  16 -0.236813969  0.1185957392 -4.056188e-01 -0.3362234995
#> [217,]     11  17 -0.187598001  0.3279363239  1.634239e-01 -0.0980709745
#> [218,]     11  18  0.054165254  0.3119004011  1.288235e-01  0.1045000941
#> [219,]     11  19  0.175779261 -0.2176338551 -3.183011e-01  0.2360540340
#> [220,]     11  20  0.182702578  0.0406950698  1.740393e-01 -0.0077927160
#> [221,]     12   1 -0.154948735 -0.0299704350 -1.774650e-01 -0.2386017736
#> [222,]     12   2 -0.366976252 -0.0788790382  9.033819e-02  0.5250685051
#> [223,]     12   3 -0.278874850 -0.1118073197  2.790201e-01  0.1727448509
#> [224,]     12   4  0.186587933  0.0620249341 -1.984973e-02 -0.1616212576
#> [225,]     12   5  0.240124263 -0.0536028362 -2.962904e-01 -0.2912970306
#> [226,]     12   6  0.104156506  0.0937621536 -2.876065e-01 -0.2364138029
#> [227,]     12   7 -0.073480484 -0.2488973515 -2.099887e-02  0.1124898901
#> [228,]     12   8  0.420579007  0.2069157452 -1.899510e-01  0.0513319514
#> [229,]     12   9 -0.044223996  0.2524219700 -2.970576e-01 -0.0251656715
#> [230,]     12  10 -0.470461279  0.1882278731  4.266051e-01 -0.2647973670
#> [231,]     12  11 -0.254400826  0.1054096356 -1.557521e-02  0.0536144809
#> [232,]     12  12 -0.367288354 -0.1974867174  6.078807e-01 -0.2884127304
#> [233,]     12  13 -0.018242345  0.1802007734 -2.423615e-01  0.1285730165
#> [234,]     12  14  0.059756188  0.2175551583  8.949326e-02 -0.0534017134
#> [235,]     12  15  0.044161941 -0.3169838641  2.130454e-01  0.4847503931
#> [236,]     12  16 -0.057575369  0.0642698751 -3.625726e-01  0.4329357374
#> [237,]     12  17  0.066963893 -0.1051997185  1.496355e-01  0.1439214266
#> [238,]     12  18 -0.258087351  0.0736235699 -9.702446e-02 -0.3242196757
#> [239,]     12  19  0.138724116 -0.0592804241  2.671447e-01  0.3696974834
#> [240,]     12  20 -0.176351018 -0.0285570337 -3.514501e-01 -0.0449132367
#> [241,]     13   1 -0.373162952  0.2728050742  3.667930e-01 -0.0094955025
#> [242,]     13   2  0.003076682 -0.0491672266  8.247065e-02  0.3980498847
#> [243,]     13   3 -0.057718028  0.1571236252  4.562427e-02  0.1075116559
#> [244,]     13   4  0.066973609 -0.4175121500  3.838478e-02  0.2736306036
#> [245,]     13   5  0.201171685  0.1077277052 -2.895103e-01  0.4439661755
#> [246,]     13   6 -0.167801935  0.0053001800  5.868666e-02 -0.0436207568
#> [247,]     13   7 -0.196607701 -0.2584864281 -2.365715e-01 -0.1118190851
#> [248,]     13   8 -0.035830311 -0.2164773425  1.307370e-02  0.7006574997
#> [249,]     13   9  0.144653964 -0.3470745935  1.860664e-01 -0.0501099351
#> [250,]     13  10 -0.055154698  0.0745939198  1.433397e-01 -0.2880318286
#> [251,]     13  11 -0.035013987 -0.4543469982  3.166100e-01 -0.0927794158
#> [252,]     13  12 -0.475297095  0.1867471621  2.667582e-01  0.0794454693
#> [253,]     13  13 -0.026630580  0.1674226649 -7.015890e-02 -0.0473263289
#> [254,]     13  14 -0.008036594 -0.0905057202  1.528941e-01  0.1727193609
#> [255,]     13  15 -0.272064489  0.2374703331 -5.727791e-01 -0.0012992871
#> [256,]     13  16 -0.298671161  0.0142125428 -1.587709e-01  0.1512841176
#> [257,]     13  17  0.092163147 -0.3307374336  3.632180e-01  0.1432073090
#> [258,]     13  18  0.073939237  0.3410854721 -2.071228e-01 -0.0562811492
#> [259,]     13  19  0.110281738  0.0280356055  2.052012e-01 -0.3429481804
#> [260,]     13  20 -0.408729310 -0.0722632701 -7.059362e-02  0.2190117830
#> [261,]     14   1  0.088874883  0.0592869908 -3.067592e-01 -0.0133826455
#> [262,]     14   2  0.096410897 -0.5330553193  4.890594e-04  0.0685984461
#> [263,]     14   3  0.282673227 -0.0158215651  1.174151e-01  0.0410026518
#> [264,]     14   4 -0.093692809 -0.1063447203 -2.730277e-01 -0.0879944748
#> [265,]     14   5  0.176146997  0.5490931096  4.173146e-02 -0.2497490637
#> [266,]     14   6 -0.022347043  0.2135734671  1.732215e-01 -0.1206407990
#> [267,]     14   7  0.076241683  0.1113249029  2.250863e-01 -0.0681934563
#> [268,]     14   8 -0.604242761  0.2119396914  3.381491e-01 -0.0662733151
#> [269,]     14   9 -0.129162065  0.1460117409 -1.216055e-01 -0.0477103682
#> [270,]     14  10  0.414164152 -0.3778237272 -6.830902e-02 -0.0837898241
#> [271,]     14  11 -0.155742823  0.3829010952 -1.252493e-01 -0.2595923290
#> [272,]     14  12  0.277184651 -0.0474441563 -4.174892e-01  0.4081346799
#> [273,]     14  13 -0.106302263  0.0068867213 -4.351468e-02  0.1663295787
#> [274,]     14  14 -0.108199074  0.3091327418 -4.001716e-01  0.3358978194
#> [275,]     14  15 -0.193482308  0.0428905495 -8.425545e-02 -0.0019104222
#> [276,]     14  16  0.215783345  0.3704497933 -4.348591e-01 -0.0728960038
#> [277,]     14  17 -0.335190320  0.1040557322  2.561510e-01  0.2811638488
#> [278,]     14  18  0.040859947  0.1214317241 -4.861197e-02 -0.1192618820
#> [279,]     14  19  0.136318411  0.4401096537  1.448226e-01 -0.3485709579
#> [280,]     14  20  0.189325694  0.3653034814 -6.008418e-02  0.0295312494
#> [281,]     15   1  0.571943640 -0.2888981707  1.478673e-02  0.0891690945
#> [282,]     15   2 -0.007241376 -0.1310708526  6.266072e-02 -0.0118724722
#> [283,]     15   3 -0.156723127 -0.0086284576 -3.670252e-01 -0.1576389887
#> [284,]     15   4 -0.066907860 -0.1603643395  3.058070e-01  0.1103627096
#> [285,]     15   5  0.324870148 -0.2611530103  6.023846e-02 -0.4631881885
#> [286,]     15   6  0.114786766  0.0678796369  5.144738e-02 -0.0398984371
#> [287,]     15   7 -0.543577827 -0.0199280126 -1.693155e-01  0.1345151949
#> [288,]     15   8  0.008535743  0.2554447439 -1.505559e-01  0.1290780384
#> [289,]     15   9  0.126038924 -0.0717663531  4.605100e-01  0.0487807430
#> [290,]     15  10  0.082562115 -0.0636440760 -2.438215e-01 -0.0015428454
#> [291,]     15  11 -0.123692875  0.1216462293 -2.300259e-01 -0.0098655554
#> [292,]     15  12  0.037608797 -0.1191394464  3.121422e-02  0.1792637788
#> [293,]     15  13 -0.431619412 -0.0064168840 -5.395508e-01  0.4185851981
#> [294,]     15  14 -0.021619233  0.1326768234  1.274164e-01 -0.3093345999
#> [295,]     15  15 -0.164553989 -0.4287219370  1.531378e-01  0.0181179598
#> [296,]     15  16 -0.212865087  0.0743125077 -3.929778e-02  0.1255430844
#> [297,]     15  17  0.105339958 -0.4274076044  3.635242e-01 -0.0345925660
#> [298,]     15  18  0.062396832  0.1654321484 -1.364295e-02  0.1448836987
#> [299,]     15  19  0.310883104  0.4560678621  2.753608e-02  0.2998779434
#> [300,]     15  20  0.225737280 -0.1757162080 -1.095624e-01 -0.3828326240
#> [301,]     16   1 -0.024521973  0.0602344812 -2.955139e-01  0.0567802141
#> [302,]     16   2 -0.219677116 -0.1298697583  2.310866e-01 -0.1548102237
#> [303,]     16   3 -0.375806882 -0.1249879498 -1.709404e-01  0.1252523260
#> [304,]     16   4  0.042348633  0.0229340129  1.709114e-01 -0.2529616557
#> [305,]     16   5  0.002277302 -0.4952296606  2.719961e-01 -0.0146015148
#> [306,]     16   6 -0.276458864  0.3691653521  3.083225e-01  0.0516637557
#> [307,]     16   7  0.061592469  0.0133286552  3.870557e-01 -0.2140035337
#> [308,]     16   8  0.179713314  0.0469531779  1.916685e-03 -0.1946430192
#> [309,]     16   9 -0.073989375  0.0983905316  1.322272e-01 -0.0316687915
#> [310,]     16  10  0.187640350  0.1702756751  4.741462e-01 -0.1249575407
#> [311,]     16  11  0.068094127 -0.3620969204 -9.722952e-02  0.0751817103
#> [312,]     16  12  0.156763587 -0.3707617858 -1.782533e-02  0.0458552907
#> [313,]     16  13  0.135562914  0.0600200535  2.874418e-01 -0.2397832936
#> [314,]     16  14  0.019037373  0.0365987837  1.340898e-01  0.0734765279
#> [315,]     16  15 -0.188661341  0.0744899055 -1.001288e-02  0.5816606875
#> [316,]     16  16  0.154669206  0.1517471555 -2.145659e-01  0.0364323376
#> [317,]     16  17 -0.035464274 -0.2204762637  4.078388e-01  0.0838165117
#> [318,]     16  18  0.066817663  0.2483785124 -2.300268e-01  0.1247210423
#> [319,]     16  19 -0.125802001  0.0357662760  4.588758e-01 -0.3059270300
#> [320,]     16  20 -0.261921277  0.0748899630  2.749047e-01 -0.1187650079
#> [321,]     17   1  0.158834491  0.4480613733 -3.605427e-02  0.3634066165
#> [322,]     17   2  0.012049035 -0.2880243775  1.732091e-01 -0.2608716941
#> [323,]     17   3  0.235523476  0.3154696650 -1.039187e-01 -0.2915569527
#> [324,]     17   4  0.032312501 -0.3593330674 -1.104126e-01  0.2923328576
#> [325,]     17   5  0.076140298  0.4384741200 -5.044522e-02 -0.2067839953
#> [326,]     17   6 -0.177016347  0.0643072597 -4.603735e-01  0.3135714078
#> [327,]     17   7 -0.137986890  0.0630360499 -4.435839e-02  0.5275354639
#> [328,]     17   8 -0.148939200  0.2002188646  1.130916e-01 -0.0498415912
#> [329,]     17   9  0.261245830  0.0487455246  1.894350e-01 -0.2964132741
#> [330,]     17  10  0.034354747 -0.1379918599 -6.870425e-05 -0.4659731405
#> [331,]     17  11  0.241360824 -0.4521106389  1.217245e-01  0.1409206255
#> [332,]     17  12  0.187547613 -0.1200079844  5.598823e-02  0.1773164403
#> [333,]     17  13  0.059851103 -0.2172096609 -3.053619e-01 -0.0917551865
#> [334,]     17  14  0.033858160  0.1735000229 -1.772911e-02  0.0033200771
#> [335,]     17  15  0.188483286  0.0931770584 -1.500091e-02 -0.1501388151
#> [336,]     17  16 -0.043422165 -0.0672833168  9.227588e-02  0.3050564071
#> [337,]     17  17  0.421562216 -0.2626740243  1.030958e-01 -0.0613324423
#> [338,]     17  18 -0.151583733 -0.2548863648  2.404610e-01 -0.1982481429
#> [339,]     17  19 -0.217715006  0.0344655248  3.576024e-01 -0.0353600309
#> [340,]     17  20  0.114229644 -0.1471080673 -4.141494e-01  0.4166446677
#> [341,]     18   1 -0.081820721 -0.1997759070  3.932564e-01  0.1433740591
#> [342,]     18   2 -0.375894304 -0.3489712420  2.276061e-02  0.2149708025
#> [343,]     18   3  0.230925274  0.4988975518  1.614331e-02 -0.0104872362
#> [344,]     18   4  0.095829456 -0.4319351730 -2.689889e-03 -0.2522220625
#> [345,]     18   5  0.207821920  0.0946471987 -3.691382e-01  0.1141545019
#> [346,]     18   6 -0.115465361  0.1839701758  1.495134e-01 -0.3955338017
#> [347,]     18   7  0.146326899  0.0360690026  2.413435e-01  0.0009317617
#> [348,]     18   8 -0.141351572  0.2891969615 -3.244881e-01 -0.3168848624
#> [349,]     18   9 -0.145139612  0.0266934456  8.209510e-02  0.0108618223
#> [350,]     18  10  0.311495628 -0.0723306995  3.410877e-02  0.1558384387
#> [351,]     18  11  0.327725941  0.4450008795 -9.705047e-02  0.3080263509
#> [352,]     18  12 -0.258935821 -0.2702583287  3.254319e-01 -0.2487218158
#> [353,]     18  13 -0.006750988 -0.0651380959 -8.092421e-02 -0.0504648706
#> [354,]     18  14  0.072442278 -0.1667752494  2.313443e-01  0.1335884536
#> [355,]     18  15 -0.023047809 -0.4702801416 -2.877382e-01  0.3275858985
#> [356,]     18  16  0.103250449 -0.2949073394  5.862873e-02 -0.0315784528
#> [357,]     18  17 -0.045286310 -0.3013119504 -2.119647e-01  0.1726724480
#> [358,]     18  18  0.080289224 -0.2428938268 -4.122291e-01 -0.0062463404
#> [359,]     18  19  0.250944941 -0.2373066257  2.647599e-01  0.0599689299
#> [360,]     18  20  0.501101229 -0.4179160530  1.929871e-01 -0.2893297152
#> [361,]     19   1 -0.227019750 -0.0885587734 -4.816383e-01  0.1020936374
#> [362,]     19   2  0.309694719  0.0590230941  5.021419e-01  0.1322037164
#> [363,]     19   3 -0.029744148  0.3262098937 -1.924946e-01 -0.1618328378
#> [364,]     19   4  0.226603666  0.0840973327  2.444458e-01 -0.1405101688
#> [365,]     19   5 -0.051664527 -0.5652269315 -1.424488e-01  0.2779454437
#> [366,]     19   6 -0.082288004 -0.0814743040 -1.680531e-01 -0.1649743864
#> [367,]     19   7 -0.418483387 -0.0997242950  4.353388e-01  0.0757770952
#> [368,]     19   8  0.270164869 -0.2619211959 -1.222294e-01  0.4502929878
#> [369,]     19   9  0.224037604  0.1473225142 -7.010333e-02 -0.0980284903
#> [370,]     19  10 -0.143837506  0.1522838295 -1.147047e-01 -0.1671240567
#> [371,]     19  11 -0.038203670  0.0156250436 -2.032165e-02  0.1821422730
#> [372,]     19  12  0.149115578 -0.0151257914 -1.618132e-01 -0.1298650636
#> [373,]     19  13 -0.269079547  0.0366388007 -5.282770e-01  0.5835938284
#> [374,]     19  14 -0.021294013  0.1904049763 -1.562431e-01 -0.0951976264
#> [375,]     19  15  0.703972526  0.0190671998 -3.889266e-02 -0.1820947121
#> [376,]     19  16 -0.185660308 -0.0869252628  1.606848e-01  0.2221767610
#> [377,]     19  17 -0.059436533 -0.0369957518  4.658324e-02 -0.1714183523
#> [378,]     19  18 -0.248103363  0.0471773394 -1.797336e-01 -0.2537082840
#> [379,]     19  19  0.031909113 -0.1229938265  9.990374e-02  0.4664883726
#> [380,]     19  20 -0.027240058  0.1711229151 -8.094288e-02 -0.2816589768
#> [381,]     20   1 -0.067337282  0.2056948877  2.020710e-01 -0.3312881187
#> [382,]     20   2  0.059686904  0.1135446907 -1.673420e-01  0.0206207848
#> [383,]     20   3 -0.003097077  0.0585567116 -5.604950e-01  0.1508631395
#> [384,]     20   4  0.085458229  0.0780162297 -2.839201e-01 -0.0048365560
#> [385,]     20   5  0.224211317 -0.1090378632 -4.554718e-01 -0.0222112551
#> [386,]     20   6  0.043181930  0.2666712858  7.978791e-02  0.1053414210
#> [387,]     20   7  0.436158121 -0.3599058098  1.919083e-01  0.1566904436
#> [388,]     20   8  0.221264128 -0.1637461764 -1.078747e-01 -0.2012173411
#> [389,]     20   9  0.357733090  0.0378894440  1.372933e-01  0.1974759444
#> [390,]     20  10 -0.165282196 -0.0201299271 -5.878494e-02 -0.2322996708
#> [391,]     20  11 -0.283730168  0.2007439670  1.500687e-01  0.1223976870
#> [392,]     20  12 -0.233125645 -0.2861228330 -2.701326e-01  0.1417525563
#> [393,]     20  13 -0.016688545  0.0697182647  3.971072e-01  0.1258501763
#> [394,]     20  14  0.033460795  0.5548896574  1.823309e-01 -0.1046023365
#> [395,]     20  15  0.133051457 -0.1796299220  1.285218e-01  0.1557849012
#> [396,]     20  16 -0.105912844 -0.0948262093  2.687409e-02 -0.1482460644
#> [397,]     20  17  0.279366448 -0.0339790628 -1.647501e-01  0.0552167002
#> [398,]     20  18 -0.015589223 -0.1653661218 -2.761835e-01 -0.0988323407
#> [399,]     20  19  0.134951209  0.1263924002  2.827884e-01  0.1060147511
#> [400,]     20  20 -0.210211664 -0.3014592288  1.823575e-01  0.1149357449
#>             gammas5       gammas6       gammas7      gammas8
#>   [1,]  0.088303821 -0.1921304892  0.0243446940 -0.663440823
#>   [2,] -0.081814719 -0.0117687062  0.1446957345  0.087488436
#>   [3,] -0.370133022  0.3086000466 -0.1387801840 -0.031021265
#>   [4,]  0.064725099  0.0671089067  0.1042624931  0.176411987
#>   [5,] -0.436652808  0.5004705719 -0.1047258617 -0.286055340
#>   [6,] -0.173074474 -0.1183349320 -0.2282016842  0.104423414
#>   [7,]  0.543077377  0.0350117803  0.1144745615  0.108411465
#>   [8,]  0.056476442  0.0245084393 -0.3345205780  0.002293648
#>   [9,] -0.484967497 -0.0698402989 -0.0097878458 -0.101680789
#>  [10,]  0.150743462  0.0927791758 -0.0853895656 -0.264148711
#>  [11,] -0.048831442 -0.3095850709  0.2142066745  0.082548948
#>  [12,]  0.106472822  0.0621724576 -0.2343586618  0.106628751
#>  [13,] -0.185426776 -0.1172141721  0.1569946865  0.091578572
#>  [14,] -0.254032935  0.5161509907 -0.0604255014 -0.361249008
#>  [15,]  0.151720077  0.2840547260  0.1369409347  0.130448768
#>  [16,]  0.519544422  0.0749926385 -0.0211985342 -0.152654185
#>  [17,]  0.319078613  0.2444179711 -0.0971289667 -0.296780431
#>  [18,]  0.161425494  0.0374657345 -0.3486481881 -0.084090944
#>  [19,]  0.137545062  0.4950485988  0.2674970324 -0.086419919
#>  [20,] -0.090564809 -0.1001923920 -0.1700465538  0.241347466
#>  [21,] -0.627870805  0.0044665459  0.0345424584 -0.344365316
#>  [22,] -0.048513029 -0.0754987834  0.1964148480 -0.268495401
#>  [23,]  0.182688702 -0.1021655506  0.0838242869 -0.111401016
#>  [24,] -0.126133303  0.3431634923 -0.1611465491  0.238695646
#>  [25,] -0.165337007  0.0666689756 -0.3701807478  0.442949415
#>  [26,]  0.205955947 -0.1743602277  0.0309545245  0.111829092
#>  [27,] -0.043441172 -0.3126635136  0.0007530898 -0.326918683
#>  [28,] -0.057464121  0.2440360103  0.1913905334  0.117167771
#>  [29,] -0.056417763 -0.2155540395  0.0136194159  0.125734889
#>  [30,]  0.291905110  0.0766189352  0.3154143472 -0.067224252
#>  [31,] -0.033016334 -0.0452144180  0.2429431003 -0.161218769
#>  [32,]  0.098461362  0.0544366946  0.0859517882  0.091614407
#>  [33,] -0.183046340 -0.5702466625  0.0229620595 -0.037914816
#>  [34,]  0.172459369  0.2180355001 -0.1050974751  0.074816813
#>  [35,]  0.252022779 -0.0221217021  0.3441360970  0.213899923
#>  [36,]  0.220978183 -0.3636229041  0.0832496792 -0.252077298
#>  [37,]  0.219316972  0.0534837257 -0.0487035550 -0.168522317
#>  [38,] -0.028664888  0.1804626476  0.0641344729  0.009768816
#>  [39,]  0.130178972  0.0913156914 -0.1533931147 -0.064605879
#>  [40,]  0.207188570  0.2558323654 -0.0633204401 -0.253228754
#>  [41,]  0.003553744 -0.0185978789  0.6290663139  0.248390334
#>  [42,] -0.081808534  0.0527745744  0.1042214220 -0.235154097
#>  [43,] -0.137848443 -0.1819182999 -0.1197809758  0.092773414
#>  [44,] -0.018061312  0.3989068884  0.2878278988 -0.166999302
#>  [45,]  0.421889484 -0.2406800533  0.2445074320 -0.076739406
#>  [46,] -0.064238630  0.2617563153  0.1124780878  0.118309460
#>  [47,] -0.066483376 -0.0989272706  0.2979940841  0.031587430
#>  [48,] -0.259098453  0.2697925988  0.1833023392 -0.277345508
#>  [49,]  0.409568504  0.1384974773  0.0068173993 -0.285124397
#>  [50,]  0.106704935  0.3152941527  0.1814553908 -0.442665726
#>  [51,]  0.295232254 -0.2074610550 -0.2838195420  0.199242733
#>  [52,]  0.387063135 -0.1130072345 -0.0580427268 -0.068838201
#>  [53,] -0.257316115 -0.1968509819  0.0642985222 -0.021335845
#>  [54,]  0.052965547 -0.1524178803  0.2586004227  0.352605732
#>  [55,]  0.254909392 -0.2378047403  0.2319744612 -0.193996333
#>  [56,] -0.085939135 -0.1098347323 -0.1070900751 -0.643856671
#>  [57,]  0.248686712  0.1185477408  0.4205209809 -0.148825397
#>  [58,] -0.059604563  0.2479819692 -0.3880777321  0.258005871
#>  [59,]  0.255416684  0.1126894030 -0.0604076709 -0.108157792
#>  [60,]  0.041611286 -0.0690617636  0.0281236234  0.064976088
#>  [61,]  0.599657135 -0.3095324016  0.1097034553  0.200671035
#>  [62,]  0.112649305 -0.1644800573  0.0163011659 -0.147279334
#>  [63,]  0.659089583 -0.0904038993  0.3011849681 -0.205278763
#>  [64,]  0.147532650  0.0040502108  0.1817466373  0.235476791
#>  [65,] -0.057971543 -0.1148502072 -0.0783789348 -0.095605553
#>  [66,]  0.132022359  0.4463499992 -0.0889689926 -0.141373169
#>  [67,]  0.115281754  0.0539536009  0.0212787678 -0.430474811
#>  [68,]  0.332631538  0.0001632032 -0.4921755620  0.029654250
#>  [69,] -0.060464878 -0.2120264807  0.1685006106 -0.567607801
#>  [70,]  0.112211776  0.0007352338  0.1288593289  0.229503387
#>  [71,]  0.272088127  0.3404871153  0.1013064231 -0.042330271
#>  [72,]  0.047667616  0.1751073260 -0.3853674740 -0.229974990
#>  [73,]  0.105459541 -0.1578359976 -0.0868182132 -0.448904813
#>  [74,] -0.171900454  0.3085252988 -0.0277987479  0.162153952
#>  [75,]  0.025724559 -0.3006839175  0.0620975533  0.193394149
#>  [76,]  0.147617210 -0.2990939518 -0.4541136335 -0.042805826
#>  [77,]  0.143981825  0.1093685155  0.0277790434  0.183551632
#>  [78,]  0.005333020 -0.4362325116 -0.0639594263 -0.198105510
#>  [79,]  0.137301872  0.2451275180 -0.4159990651 -0.049802903
#>  [80,] -0.173066526 -0.1049444393  0.0470647525  0.237300808
#>  [81,]  0.195991162 -0.2267457020 -0.1380038358 -0.160182085
#>  [82,]  0.294264794 -0.0953301689 -0.2745477930 -0.310217723
#>  [83,]  0.161500913  0.2932929477 -0.0590681240 -0.124050048
#>  [84,]  0.150406879  0.0453086806 -0.3803567503  0.250599400
#>  [85,] -0.407121202  0.1058192458 -0.1985000045 -0.008984829
#>  [86,]  0.041182441  0.0103031127 -0.3777503982 -0.020653087
#>  [87,] -0.108272733 -0.3271667907  0.2404445747  0.124182832
#>  [88,] -0.066663482  0.0379000288 -0.0751141499  0.196420835
#>  [89,] -0.054175090 -0.1243795555  0.0973900840  0.270048611
#>  [90,] -0.304198443 -0.1284350952 -0.4803714239  0.326192972
#>  [91,] -0.032871905  0.1556594422  0.1234142909  0.096054618
#>  [92,]  0.002652531 -0.5519371151 -0.0340582244  0.139097753
#>  [93,] -0.492703079 -0.1689364551  0.2531059667  0.106906353
#>  [94,]  0.422064609 -0.1782848335 -0.0185693814  0.116842380
#>  [95,] -0.010823983 -0.3567395113 -0.0722930341 -0.091842398
#>  [96,]  0.003586388 -0.3709106896 -0.1439566196 -0.502883379
#>  [97,]  0.176038671 -0.0231977987  0.0299631805  0.098819099
#>  [98,] -0.137404424 -0.2449094330 -0.0940686352 -0.255088378
#>  [99,] -0.123730335 -0.3534959758  0.0840062855 -0.224711516
#> [100,] -0.284019502  0.2784460922  0.2142949528 -0.262902987
#> [101,] -0.201174707 -0.0521946097  0.1024020057  0.148007363
#> [102,] -0.034689319 -0.5755103751 -0.0716412059  0.237333399
#> [103,] -0.380808427 -0.1034743832 -0.1225525110  0.109518464
#> [104,] -0.298034831  0.1677188701  0.2167635033  0.332987333
#> [105,]  0.210613734  0.0749537312 -0.2914283997  0.144401300
#> [106,] -0.194421575 -0.0557733772 -0.1004874441  0.318925060
#> [107,]  0.068800964  0.0692568461 -0.1509493912  0.081428367
#> [108,]  0.289491849 -0.0913576138  0.2231370434  0.003967961
#> [109,]  0.038070655  0.0807678557 -0.0576858417 -0.226689863
#> [110,]  0.386968511  0.0814883470 -0.5380673438 -0.130396682
#> [111,] -0.149992868 -0.3899424626  0.2959312542  0.103974618
#> [112,] -0.223485174 -0.0149978279  0.2147390750  0.303650807
#> [113,]  0.151813654  0.3815183742 -0.1690724938  0.175280380
#> [114,] -0.264743775 -0.2207754485  0.1513125624 -0.210287296
#> [115,] -0.074856318 -0.1316581065  0.0628585681  0.242794498
#> [116,]  0.200153830  0.1207472003  0.0674139247 -0.608618934
#> [117,]  0.282415019 -0.0239539957  0.1126053378  0.344177931
#> [118,] -0.087499457 -0.1742182669  0.1628622838  0.472982547
#> [119,]  0.158067545  0.0998310263  0.0935597864 -0.132697127
#> [120,] -0.175948866 -0.2129698727 -0.1522035743 -0.007576002
#> [121,]  0.219165113  0.2111696276  0.0109958953 -0.339441809
#> [122,] -0.300478623 -0.0408703903  0.2548742752 -0.296737094
#> [123,] -0.069280011  0.2445878876  0.2481335502 -0.487274203
#> [124,] -0.148863847  0.2292733863  0.1010702139 -0.307822938
#> [125,] -0.090051445  0.1684523412 -0.3861946165  0.110584109
#> [126,]  0.175858075 -0.4828232823  0.0530169548  0.087415708
#> [127,] -0.079560912 -0.0196457685 -0.0177202494 -0.321902285
#> [128,]  0.272884838  0.3391626472 -0.3116076773 -0.151371373
#> [129,] -0.194331213  0.0737456235  0.3059517400  0.042516354
#> [130,]  0.124068106 -0.1091855255  0.0136543616  0.181887181
#> [131,] -0.223909480  0.0111836736  0.0285030783 -0.055004563
#> [132,] -0.437277817  0.3594957222  0.2128885179  0.068679155
#> [133,]  0.068508676  0.1037670986 -0.2967097905 -0.281223673
#> [134,] -0.062097937 -0.0658016945 -0.1550597647  0.170487101
#> [135,] -0.043768926 -0.0183247230  0.2909963075 -0.533646404
#> [136,]  0.214375293 -0.0608089806 -0.4384836963 -0.332264913
#> [137,]  0.077794951  0.1942817105  0.0700405849  0.023251846
#> [138,]  0.027451137 -0.1183984185  0.2603234838 -0.084044043
#> [139,] -0.249599403  0.0660312299  0.0739518318  0.330690389
#> [140,] -0.422298675  0.4294551351 -0.0597456752 -0.001369500
#> [141,]  0.182543181 -0.1092356177  0.0703018304 -0.517247441
#> [142,] -0.153229229  0.0127101357 -0.3248087561  0.153174075
#> [143,]  0.083127498 -0.1714736162  0.2852807600 -0.194225070
#> [144,]  0.171601964 -0.0029500500 -0.0029478213  0.120164419
#> [145,] -0.260739875 -0.2227927951 -0.0931437506  0.654109908
#> [146,]  0.191572875  0.1492039904 -0.2825497640 -0.129542746
#> [147,]  0.091196310 -0.1354673642  0.2226600188  0.200351396
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#> [371,]  0.019126092 -0.1321658075 -0.2314967799 -0.114918563
#> [372,]  0.218121286  0.2192161964  0.0785705148  0.139117476
#> [373,] -0.399810283 -0.2967291891 -0.0874788824 -0.213896503
#> [374,]  0.005471520  0.0789762320  0.0222342379  0.195198132
#> [375,]  0.218169771  0.0552490234  0.0359917237 -0.033098336
#> [376,] -0.056940912  0.2774697905 -0.1606870313  0.695993154
#> [377,]  0.083276694 -0.0421919110 -0.2323964041  0.180835989
#> [378,]  0.260239389 -0.2149153891 -0.3292153537 -0.110451483
#> [379,]  0.229860426  0.0592117680 -0.4103429574 -0.185506875
#> [380,]  0.361635397 -0.0316121674 -0.0075009022  0.122009747
#> [381,]  0.331147143 -0.0442228252 -0.1006628079 -0.121406603
#> [382,]  0.188063379 -0.2853123366  0.4018490345 -0.050933620
#> [383,]  0.100588811 -0.0873729770  0.2842784516  0.001236879
#> [384,] -0.117502896 -0.2772711891  0.0706006328 -0.108267534
#> [385,]  0.350276114  0.5243982557 -0.1172875720 -0.135885256
#> [386,]  0.088709193  0.1237314858 -0.1314206468 -0.193012054
#> [387,] -0.420618716  0.1368001098  0.0759825842 -0.348431441
#> [388,] -0.058335287  0.2845047695 -0.4143011561 -0.259620079
#> [389,] -0.011196456  0.0924453188 -0.1691173918  0.041224266
#> [390,] -0.147285758  0.4527007771  0.2287893943 -0.293703424
#> [391,] -0.099420498  0.1644485331 -0.4293716558  0.111861211
#> [392,] -0.141908947 -0.2137340656  0.3286143762  0.161672237
#> [393,] -0.175224464 -0.2061447174 -0.5216967710 -0.030011710
#> [394,]  0.079154667 -0.2943109609  0.1224578222 -0.154335272
#> [395,]  0.211006185  0.0072085427 -0.0970610043  0.155150447
#> [396,] -0.158558863  0.1841596356 -0.1512137136  0.790160286
#> [397,]  0.032418835  0.1189213510 -0.1071320189  0.033472775
#> [398,]  0.280809142 -0.1194775874  0.1983302463  0.154798614
#> [399,] -0.168044012  0.0905909682 -0.2784134686 -0.244036591
#> [400,]  0.305310943 -0.2027380726  0.0248049334 -0.477704175

library(ggplot2)

Plot1Mu <-
  ggplot(data = fm1$mu1, mapping = aes(x = 1:nrow(fm1$mu1), y = mu)) +
  geom_line(color = "blue") +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  labs(y = expression(mu), x = "Iterations") +
  theme_bw()
print(Plot1Mu)


Plot2Mu <-
  ggplot(data = fm1$mu1, mapping = aes(mu)) +
  geom_histogram() +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  labs(y = "Frequency", x = expression(mu)) +
  theme_bw()
print(Plot2Mu)
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.



Plot1Sigma2 <-
  ggplot(data = fm1$tau1, mapping = aes(x = 1:nrow(fm1$tau1), y = tau)) +
  geom_line(color = "blue") +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  labs(y = expression(sigma^2), x = "Iterations") +
  theme_bw()
print(Plot1Sigma2)



Plot2Sigma2 <-
  ggplot(data = fm1$tau1, mapping = aes(tau)) +
  geom_histogram() +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  labs(y = "Frequency", x = expression(sigma^2)) +
  theme_bw()
print(Plot2Sigma2)
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.



# Plot of Alphas
Plot1Alpha1 <-
  ggplot(data = fm1$tao1, mapping = aes(x = 1:nrow(fm1$tao1), y = tao1)) +
  geom_line(color = "blue") +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  labs(y = expression(alpha[1]), x = "Iterations") +
  theme_bw()
print(Plot1Alpha1)


Plot2Alpha1 <-
  ggplot(data = fm1$tao1, mapping = aes(tao1)) +
  geom_histogram() +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  labs(y = "Frequency", x = expression(alpha[1])) +
  theme_bw()
print(Plot2Alpha1)
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.


Plot1Alpha2 <-
  ggplot(data = fm1$tao1, mapping = aes(x = 1:nrow(fm1$tao1), y = tao2)) +
  geom_line(color = "blue") +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  labs(y = expression(alpha[2]), x = "Iterations") +
  theme_bw()
print(Plot1Alpha2)


Plot2Alpha2 <-
  ggplot(data = fm1$tao1, mapping = aes(tao2)) +
  geom_histogram() +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  labs(y = "Frequency", x = expression(alpha[2])) +
  theme_bw()
print(Plot2Alpha2)
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.


# Plot of Betas
Plot1Beta1 <-
  ggplot(data = fm1$delta1, mapping = aes(x = 1:nrow(fm1$delta1), y = delta1)) +
  geom_line(color = "blue") +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  labs(y = expression(beta[1]), x = "Iterations") +
  theme_bw()
print(Plot1Beta1)


Plot2Beta1 <-
  ggplot(data = fm1$delta1, mapping = aes(delta1)) +
  geom_histogram() +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  labs(y = "Frequency", x = expression(beta[1])) +
  theme_bw()
print(Plot2Beta1)
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.



Plot1Beta2 <-
  ggplot(data = fm1$delta1, mapping = aes(x = 1:nrow(fm1$delta1), y = delta2)) +
  geom_line(color = "blue") +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  labs(y = expression(beta[2]), x = "Iterations") +
  theme_bw()
print(Plot1Beta2)


Plot2Beta2 <-
  ggplot(data = fm1$delta1, mapping = aes(delta2)) +
  geom_histogram() +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  labs(y = "Frequency", x = expression(beta[2])) +
  theme_bw()
print(Plot2Beta2)
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.



Plot1Beta3 <-
  ggplot(data = fm1$delta1, mapping = aes(x = 1:nrow(fm1$delta1), y = delta3)) +
  geom_line(color = "blue") +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  labs(y = expression(beta[3]), x = "Iterations") +
  theme_bw()
print(Plot1Beta3)


Plot2Beta3 <-
  ggplot(data = fm1$delta1, mapping = aes(delta3)) +
  geom_histogram() +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  labs(y = "Frequency", x = expression(beta[3])) +
  theme_bw()
print(Plot2Beta3)
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.



BiplotAMMI <-
  ggplot(data = fm1$alphas0, mapping = aes(x = alphas1, y = alphas2)) +
  geom_point() +
  geom_hline(yintercept = 0) +
  geom_vline(xintercept = 0) +
  geom_text(aes(label = 1:nrow(fm1$alphas0)),
            vjust = "inward", hjust = "inward") +
  geom_point(data = fm1$gammas0, mapping = aes(x = gammas1, y = gammas2)) +
  geom_segment(data = fm1$gammas0,
               aes(x = 0, y = 0, xend = gammas1, yend = gammas2),
               arrow = arrow(length = unit(0.2, "cm"))
               , alpha = 0.75, color = "red") +
  geom_text(data = fm1$gammas0,
            aes(x = gammas1, y = gammas2,
                label = paste0("E", 1:nrow(fm1$gammas0))),
            vjust = "inward", hjust = "inward") +
  scale_x_continuous(
    limits = c(-max(abs(c(range(fm1$alphas0[, 1:2], fm1$gammas0[, 1:2]))))
               , max(abs(c(range(fm1$alphas0[, 1:2], fm1$gammas0[, 1:2])))))) +
  scale_y_continuous(
    limits = c(-max(abs(c(range(fm1$alphas0[, 1:2], fm1$gammas0[, 1:2]))))
               , max(abs(c(range(fm1$alphas0[, 1:2], fm1$gammas0[, 1:2])))))) +
  labs(title = "MCO Method", x = expression(PC[1]), y = expression(PC[2])) +
  theme_bw() +
  theme(plot.title = element_text(hjust = 0.5))

print(BiplotAMMI)



BiplotBayesAMMI <-
  ggplot(data = fm1$alphas1, mapping = aes(x = alphas1, y = alphas2)) +
  geom_point() +
  geom_hline(yintercept = 0) +
  geom_vline(xintercept = 0) +
  geom_text(aes(label = 1:nrow(fm1$alphas1)),
            vjust = "inward", hjust = "inward") +
  geom_point(data = fm1$gammas1, mapping = aes(x = gammas1, y = gammas2)) +
  geom_segment(data = fm1$gammas1,
               aes(x = 0, y = 0, xend = gammas1, yend = gammas2),
               arrow = arrow(length = unit(0.2, "cm"))
               , alpha = 0.75, color = "red") +
  geom_text(data = fm1$gammas1,
            aes(x = gammas1, y = gammas2,
                label = paste0("E", 1:nrow(fm1$gammas1))),
            vjust = "inward", hjust = "inward") +
  scale_x_continuous(
    limits = c(-max(abs(c(range(fm1$alphas1[, 1:2], fm1$gammas1[, 1:2]))))
               , max(abs(c(range(fm1$alphas1[, 1:2], fm1$gammas1[, 1:2])))))) +
  scale_y_continuous(
    limits = c(-max(abs(c(range(fm1$alphas1[, 1:2], fm1$gammas1[, 1:2]))))
               , max(abs(c(range(fm1$alphas1[, 1:2], fm1$gammas1[, 1:2])))))) +
  labs(title = "Bayesian Method", x = expression(PC[1]), y = expression(PC[2])) +
  theme_bw() +
  theme(plot.title = element_text(hjust = 0.5))

print(BiplotBayesAMMI)