Bayesian Estimation of the Additive Main Effects and Multiplicative Interaction Model
Source:R/bayes_ammi.R
bayes_ammi.Rd
Performs Bayesian Estimation of the Additive Main Effects and Multiplicative 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
Muhammad Yaseen (myaseen208@gmail.com)
Jose Crossa (j.crossa@cgiar.org)
Sergio Perez-Elizalde (sergiop@colpos.mx)
Diego Jarquin (diego.jarquin@gmail.com)
Jose Miguel Cotes
Kert Viele
Genzhou Liu
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.
#> ℹ Using compatibility `.name_repair`.
#> ℹ 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
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#> [264,] -0.235600386 -0.2273308742 0.4223103044 0.063952712
#> [265,] 0.182290683 -0.0828123413 -0.1052843624 -0.217691089
#> [266,] -0.072493350 0.1584712244 0.1038083096 -0.136637617
#> [267,] 0.170221384 -0.1307816207 -0.1317060402 -0.428721522
#> [268,] 0.249929157 -0.2891833360 0.0609431006 -0.386970802
#> [269,] 0.049427085 0.3865615759 0.0587808273 -0.082656152
#> [270,] 0.287784737 0.0740880153 -0.2421052321 0.101625681
#> [271,] -0.050125518 -0.0695099477 -0.4256550238 -0.007337512
#> [272,] 0.285193686 0.1021509962 0.0688307360 0.010350577
#> [273,] -0.443727992 0.0116685101 -0.2359081772 -0.098096033
#> [274,] -0.154687636 0.0928238317 0.2535676112 -0.174977892
#> [275,] 0.189237802 0.2390474817 0.2420764976 0.179073765
#> [276,] 0.234599611 0.0594673255 -0.0300907413 -0.379815856
#> [277,] -0.153912957 -0.2408290455 -0.0501488186 0.181654409
#> [278,] -0.153913935 -0.1991270113 -0.1950446188 -0.089429353
#> [279,] -0.035322290 0.1892349379 -0.2920350242 -0.042161780
#> [280,] 0.114447038 -0.2343679795 0.3112622044 -0.270298185
#> [281,] -0.309443218 0.3153431831 0.0726055270 0.116312591
#> [282,] 0.169607028 -0.1876308191 -0.0867039551 0.300448090
#> [283,] 0.058769876 -0.2984288993 0.1638858639 0.056583239
#> [284,] -0.404516234 0.0490117817 0.0279456121 0.089558888
#> [285,] 0.226521356 -0.1503379398 0.0140511377 0.317290379
#> [286,] 0.443693858 0.1622012916 0.2080095438 -0.230657542
#> [287,] -0.330208957 -0.0287626377 -0.2540699749 0.191382622
#> [288,] -0.204525539 0.3647407425 0.2563403880 0.092652037
#> [289,] 0.082501621 0.1748950100 0.1686370101 -0.142508565
#> [290,] -0.114241483 -0.3623658268 -0.3508100101 -0.302432411
#> [291,] 0.149860513 0.0216870449 -0.0506425276 0.192477071
#> [292,] 0.033124063 0.1048204446 0.3517223199 -0.131056336
#> [293,] -0.127494539 -0.1885690086 -0.3386046309 0.094444144
#> [294,] 0.208524544 0.5670104261 0.0621743274 0.293185700
#> [295,] 0.013418866 0.0078961371 -0.0501062752 -0.048998909
#> [296,] 0.153761250 -0.0016496197 -0.1175320725 -0.430751657
#> [297,] 0.416299793 -0.3408258277 -0.1375369997 0.144608665
#> [298,] -0.023174152 0.0785845480 -0.2489510945 -0.251796379
#> [299,] 0.037160475 -0.1385971752 -0.0891769574 0.135623203
#> [300,] -0.066370471 0.1032194914 0.1818015936 -0.370314073
#> [301,] 0.560709968 0.3395586774 -0.0606971059 0.103721775
#> [302,] 0.298729389 0.0139726751 -0.1066980500 -0.126522769
#> [303,] 0.094816110 -0.3063715916 -0.1449672595 0.096321100
#> [304,] 0.060321875 0.2576611056 0.4554876468 0.234996114
#> [305,] 0.075447888 -0.1691082313 -0.1566635039 -0.245615863
#> [306,] -0.059496269 0.1322325978 0.0767285747 -0.052652188
#> [307,] -0.133994692 0.0194556229 -0.1211560247 -0.595723826
#> [308,] -0.106153276 0.2223177725 -0.2274611833 -0.298311780
#> [309,] 0.506394821 -0.0664915431 -0.2067847777 0.025374181
#> [310,] -0.259529793 -0.0606914170 -0.0805083761 -0.280218854
#> [311,] 0.198967036 0.3286710966 0.1898814339 -0.378103753
#> [312,] -0.232478722 0.3246297662 -0.1903083917 0.017518854
#> [313,] -0.104952109 0.0218601690 0.0714163962 0.054849977
#> [314,] 0.132790135 0.0549371736 0.1689457685 -0.591608974
#> [315,] 0.009607272 0.0373274622 -0.3559799975 -0.219872164
#> [316,] -0.296510429 -0.0631900189 -0.4587628999 -0.356197921
#> [317,] 0.098167046 0.2950710047 0.1168863860 0.090648886
#> [318,] -0.112069338 0.0379751190 -0.0873201239 0.260237386
#> [319,] -0.121165808 -0.0049512081 -0.1300799067 -0.110748006
#> [320,] -0.103369707 -0.0661522333 -0.1742031365 0.579825488
#> [321,] -0.004124657 0.0750068041 0.0884605251 -0.056330085
#> [322,] -0.175414758 -0.2163759678 -0.1216565034 -0.315693088
#> [323,] -0.071403883 0.2770572774 -0.1360446419 -0.491937519
#> [324,] 0.063285863 -0.0669119227 0.2852004854 0.094864215
#> [325,] -0.008652403 0.2109007789 -0.1934639183 -0.075179184
#> [326,] -0.021294965 -0.1285642847 0.0559171076 0.145093697
#> [327,] 0.089651208 -0.1475541402 -0.4194288992 0.162935599
#> [328,] -0.168817038 -0.2581885341 -0.0176279521 -0.065992925
#> [329,] 0.318240757 0.4254304245 0.0451418892 0.035198046
#> [330,] -0.211454835 0.3630442502 -0.0770585902 -0.021249568
#> [331,] 0.121012798 0.0853479487 0.0599242478 0.567599493
#> [332,] -0.168296509 -0.0454580962 -0.1936851960 -0.224708657
#> [333,] -0.350203608 -0.1998975154 -0.5004105179 0.080331093
#> [334,] 0.120973414 -0.1232343543 0.2075369829 -0.227255514
#> [335,] 0.475936949 -0.1786470926 0.0814558180 0.303944583
#> [336,] 0.277287530 -0.4729131182 0.0292836553 -0.250737540
#> [337,] 0.041149179 0.2424045371 -0.0973915278 0.107896100
#> [338,] -0.282646809 -0.0798138582 0.2891498298 -0.238870675
#> [339,] 0.148786083 0.0536912841 0.2177682769 -0.132821000
#> [340,] 0.225196572 0.0638196608 -0.1622690794 -0.210600024
#> [341,] 0.175669512 -0.0955172383 -0.1030495700 -0.287795068
#> [342,] -0.072502577 -0.1611036743 0.0328629312 0.008057069
#> [343,] 0.188341063 -0.1000449279 0.0769492214 0.419190244
#> [344,] 0.016931750 0.3982848009 -0.2857568633 0.025130174
#> [345,] -0.261327358 0.0441095987 0.0246582355 -0.002933731
#> [346,] 0.207019861 0.0517931907 -0.2652675639 0.019102924
#> [347,] 0.211388383 0.3073433902 -0.3519155479 0.066907342
#> [348,] -0.466291407 0.4246834535 -0.1229922824 0.021953338
#> [349,] 0.029987624 -0.1270714144 -0.4868488822 -0.155908251
#> [350,] 0.030994089 0.2794708130 0.2554335528 -0.087033526
#> [351,] -0.183143621 0.1848906076 0.0751030081 -0.150517879
#> [352,] 0.017644161 -0.1470741748 -0.3300721333 0.205229563
#> [353,] 0.183203851 -0.0501251320 0.2763061205 -0.380130371
#> [354,] 0.221863435 -0.1120637846 -0.0647303087 0.109661183
#> [355,] 0.078053550 -0.1772488766 0.2798414767 -0.181750676
#> [356,] -0.227377998 0.1104843020 0.1720483141 -0.063291262
#> [357,] 0.490326352 0.2187277017 0.1247078549 0.305951919
#> [358,] 0.066947407 0.0065172726 -0.1336428517 -0.145905009
#> [359,] -0.171923714 0.1331927669 0.1943552340 -0.242632193
#> [360,] -0.002781504 0.1159309633 -0.2286652548 0.083397155
#> [361,] 0.081337451 -0.1051099321 -0.0811394870 0.032422930
#> [362,] -0.287770059 0.1566614023 0.0883993508 -0.134880199
#> [363,] 0.082820903 -0.3600082852 0.0745090123 -0.065885402
#> [364,] 0.248189932 -0.0819314099 -0.1389269798 0.015534197
#> [365,] 0.072772895 0.3999363684 -0.2056344703 0.025381455
#> [366,] 0.056572033 -0.0923456782 0.1670843034 0.214054241
#> [367,] -0.066627780 -0.1345647495 -0.1922795751 0.215681450
#> [368,] 0.123460467 -0.0564219401 0.3469472015 0.039197563
#> [369,] 0.134563878 0.0050798034 0.0435641283 0.300866036
#> [370,] 0.292601575 -0.4006311585 -0.5270300078 -0.232043397
#> [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)