R/f_s3_multilevel.R
predict.rendo.multilevel.Rd
Predicted values based on multilevel models employing the GMM approach for hierarchical data with endogenous regressors.
Object of class inheriting from "rendo.multilevel"
An optional data frame in which to look for variables with which to predict. If omitted, the fitted values for the specified model are returned.
character string to indicate for which fitted model predictions are made.
Possible values are: "REF", "FE_L2", "FE_L3", "GMM_L2"
, or "GMM_L3"
.
ignored, for consistency with the generic function.
predict.rendo.multilevel
produces a vector of predictions
The model fitting function multilevelIV
data("dataMultilevelIV")
# Two levels
res.ml.L2 <- multilevelIV(y ~ X11 + X12 + X13 + X14 + X15 + X21 + X22 + X23 + X24 + X31 +
X32 + X33 + (1|SID) | endo(X15),
data = dataMultilevelIV, verbose = FALSE)
predict(res.ml.L2, model = "FE_L2")
#> 1 2 3 4 5
#> -5.684227297 -3.040978003 11.151276300 5.962094258 4.375363510
#> 6 7 8 9 10
#> -17.096452908 1.940798767 12.631203287 7.823581744 13.374065061
#> 11 12 13 14 15
#> 1.763748096 6.340080296 14.151764655 9.579603384 20.213179572
#> 16 17 18 19 20
#> 8.059530519 20.102712091 11.427094666 20.482006940 2.006067454
#> 21 22 23 24 25
#> 24.195098899 9.119552257 14.766371376 6.690821130 35.703076388
#> 26 27 28 29 30
#> 26.294912383 12.554308683 -2.438962915 14.864464377 6.889788429
#> 31 32 33 34 35
#> 36.582890854 11.298360754 28.136220356 12.886493312 -10.115791644
#> 36 37 38 39 40
#> 3.214879512 -9.109875278 11.953566886 -1.588355833 -11.229710120
#> 41 42 43 44 45
#> -9.527165662 18.608561007 32.417372115 35.765204621 11.333073047
#> 46 47 48 49 50
#> -3.674958000 6.958533169 -7.220047986 2.104499088 5.239101293
#> 51 52 53 54 55
#> 4.016232836 1.105210572 26.442722806 2.227251093 28.871372505
#> 56 57 58 59 60
#> 17.252187705 -1.403770292 1.302230100 23.712598877 19.150711904
#> 61 62 63 64 65
#> 11.207018078 22.826300817 18.280662201 20.721838328 18.343561241
#> 66 67 68 69 70
#> 15.005926147 24.810056702 9.913839433 13.289503661 9.744790348
#> 71 72 73 74 75
#> 13.636151937 14.712816989 15.919392224 11.388266930 38.576765095
#> 76 77 78 79 80
#> 19.043843266 23.389160471 8.175899562 4.558810066 14.866374221
#> 81 82 83 84 85
#> -5.777401577 28.779295119 22.994012147 21.531406696 24.386422155
#> 86 87 88 89 90
#> 19.019578087 22.237839085 9.820478380 10.399971629 16.141691510
#> 91 92 93 94 95
#> 21.525162465 30.579062129 11.398704055 -10.697036313 25.804016816
#> 96 97 98 99 100
#> 6.660719446 17.644053965 12.277838493 1.684157969 -0.296196513
#> 101 102 103 104 105
#> 11.316086778 17.207206360 15.262197457 12.073668778 13.283505008
#> 106 107 108 109 110
#> 7.092806480 21.964761464 1.601852085 25.130823359 24.087079843
#> 111 112 113 114 115
#> 29.278523619 19.471604595 23.492753471 31.337158908 7.860150680
#> 116 117 118 119 120
#> 20.657983546 21.593028650 7.040251952 -4.262135181 19.218410726
#> 121 122 123 124 125
#> 26.165922666 12.601978387 4.584768130 4.692908488 12.863746531
#> 126 127 128 129 130
#> 24.271243123 34.036029604 3.507078677 11.362814606 14.467456708
#> 131 132 133 134 135
#> 20.164713026 -0.654555363 31.038908682 23.039068913 15.426359237
#> 136 137 138 139 140
#> 12.600762035 16.925436119 24.300130862 27.727808561 40.584497252
#> 141 142 143 144 145
#> 46.208788118 39.910783080 20.926068318 28.876346625 30.695517682
#> 146 147 148 149 150
#> 55.832427987 24.500877650 21.692608160 -1.409734584 14.867097925
#> 151 152 153 154 155
#> 18.988355226 25.794898754 17.906635353 40.680343260 6.426822060
#> 156 157 158 159 160
#> 17.892190110 16.960114559 6.364890277 28.089707686 -3.730546122
#> 161 162 163 164 165
#> 8.470911961 13.379347838 7.896647158 8.132982214 13.726051103
#> 166 167 168 169 170
#> 24.672786991 4.163214556 7.287002652 21.842184685 22.136981820
#> 171 172 173 174 175
#> 22.374149081 19.361796456 23.673549289 19.576748037 10.697028008
#> 176 177 178 179 180
#> 21.149222548 18.633559140 17.444245407 35.446866225 36.871077235
#> 181 182 183 184 185
#> -0.050254440 23.427948792 10.939853757 22.158797912 24.517612644
#> 186 187 188 189 190
#> 33.597986273 26.151543851 22.600578738 45.697328436 6.715161802
#> 191 192 193 194 195
#> 20.230652333 4.888993498 13.982176977 36.261851937 16.887236100
#> 196 197 198 199 200
#> 3.575784115 40.742631188 0.443388764 21.929974227 14.202741279
#> 201 202 203 204 205
#> 17.583623868 -2.989190183 13.387128068 -4.300986590 14.547612038
#> 206 207 208 209 210
#> 25.406357998 42.324000564 19.935842495 41.103186467 14.199362526
#> 211 212 213 214 215
#> 18.851612617 33.259833403 35.836818677 4.065154144 4.113036151
#> 216 217 218 219 220
#> 33.655505244 9.198456622 35.373399848 23.112770212 25.545787045
#> 221 222 223 224 225
#> 15.876062261 19.089105000 17.345134413 12.389815119 18.110515167
#> 226 227 228 229 230
#> 0.560485711 9.770618539 12.479307255 17.500468499 31.121688981
#> 231 232 233 234 235
#> 19.444480004 -8.345678105 1.678176749 32.981319944 25.225922498
#> 236 237 238 239 240
#> 11.826760713 3.723208004 22.704558294 33.304258882 5.044136235
#> 241 242 243 244 245
#> 14.222444206 16.881933089 3.012891047 18.002633890 8.420883640
#> 246 247 248 249 250
#> 12.288227184 5.788004459 37.226769313 27.649357911 22.577810512
#> 251 252 253 254 255
#> 23.087330952 11.392113304 16.781320131 7.127630789 17.925546742
#> 256 257 258 259 260
#> 11.577652427 7.447058631 -1.370109017 5.581626165 23.380193989
#> 261 262 263 264 265
#> 21.712452310 22.907216202 23.199586218 34.936168443 23.193482938
#> 266 267 268 269 270
#> 24.180948936 8.499977521 23.523704816 21.843515301 34.465241357
#> 271 272 273 274 275
#> 23.062774624 13.260971932 17.143906869 18.998904827 31.729206371
#> 276 277 278 279 280
#> 8.320742651 13.474067342 12.918981703 18.017101856 16.273842214
#> 281 282 283 284 285
#> 27.505367355 8.003491039 7.282533768 15.483152815 3.947147662
#> 286 287 288 289 290
#> 13.437070282 19.601713009 13.981288241 24.059752980 16.962876566
#> 291 292 293 294 295
#> 8.199417532 12.671879764 9.238020715 17.545713409 -6.120767849
#> 296 297 298 299 300
#> 14.441711059 8.920028836 -1.477484650 3.366217440 1.003251501
#> 301 302 303 304 305
#> 0.513237697 20.562310008 21.528656861 -4.253448771 22.395285356
#> 306 307 308 309 310
#> 5.276673779 9.059079913 15.564673546 17.901625891 17.461116916
#> 311 312 313 314 315
#> 6.998433123 -8.882056553 8.137218751 20.916449025 14.960418558
#> 316 317 318 319 320
#> 15.144192608 10.771382005 7.227215207 7.837402712 17.150884321
#> 321 322 323 324 325
#> 12.707800673 12.212162635 16.078517942 5.653492144 -4.500250003
#> 326 327 328 329 330
#> 26.422615184 -4.491461774 34.669079430 31.884208022 25.078463038
#> 331 332 333 334 335
#> 4.751972407 24.799943736 -7.568616007 20.909552036 5.464201859
#> 336 337 338 339 340
#> 34.312835436 -3.368348688 8.476671262 -1.709516899 5.360097525
#> 341 342 343 344 345
#> 8.783596153 23.655380286 20.338257731 -1.121826059 -6.786226859
#> 346 347 348 349 350
#> -20.650436696 -10.111404211 2.504997603 26.296921838 18.850003224
#> 351 352 353 354 355
#> 10.237514346 27.047874551 -14.316052143 20.213990167 5.962449823
#> 356 357 358 359 360
#> 8.317734666 1.391356702 2.534341202 22.769153194 23.324061834
#> 361 362 363 364 365
#> 8.448657114 3.906804560 18.117249830 -13.219919676 13.183946589
#> 366 367 368 369 370
#> 19.786928828 10.122828470 3.122174877 27.434073406 9.390602089
#> 371 372 373 374 375
#> 16.932867333 34.927039071 34.863782125 28.160245505 -1.731811960
#> 376 377 378 379 380
#> -0.532876919 7.597149632 11.486401063 7.445049593 19.919323250
#> 381 382 383 384 385
#> -0.791049151 11.814356389 1.983900435 31.141712692 31.506270274
#> 386 387 388 389 390
#> 18.406351900 25.635003365 3.174261697 2.367361885 -2.916092463
#> 391 392 393 394 395
#> 2.351008322 1.073234070 17.856367067 13.487135404 15.574077704
#> 396 397 398 399 400
#> 12.634700696 26.137867495 9.899579174 28.067510317 16.821508012
#> 401 402 403 404 405
#> 14.224893684 2.064203335 1.843474011 5.892490383 -1.842233104
#> 406 407 408 409 410
#> 21.787892546 4.590429500 27.268526903 20.718152613 13.156661020
#> 411 412 413 414 415
#> 17.453765450 -4.817525054 29.288071035 28.191198042 35.566821563
#> 416 417 418 419 420
#> 6.492373566 -13.307886830 -1.730805259 2.121378977 6.690505926
#> 421 422 423 424 425
#> 8.742048009 19.802856571 15.168198676 28.024253823 24.596530944
#> 426 427 428 429 430
#> 24.812053780 22.151604102 24.400398775 19.678668817 8.144369209
#> 431 432 433 434 435
#> 10.817473811 22.130475451 9.490544060 13.469599103 6.743479027
#> 436 437 438 439 440
#> 33.968513544 17.164411903 33.663948428 39.752387643 18.144447283
#> 441 442 443 444 445
#> 19.477563019 14.601455572 19.710186071 13.192858430 3.082881406
#> 446 447 448 449 450
#> 16.807863073 30.770257371 19.463724975 11.041201470 19.008897115
#> 451 452 453 454 455
#> 23.365278120 36.776872875 28.131618787 20.145805010 36.772675105
#> 456 457 458 459 460
#> 9.383974468 4.834828645 10.293409735 33.643281698 12.174160004
#> 461 462 463 464 465
#> 2.644120654 23.491166942 3.289031972 13.510619175 36.726403010
#> 466 467 468 469 470
#> 29.533735923 44.692310422 35.143471941 31.117174451 20.801162287
#> 471 472 473 474 475
#> 18.503267609 25.846600054 5.389972605 10.665960489 14.379665191
#> 476 477 478 479 480
#> 6.434167810 4.409395721 5.619492032 5.799435123 4.626625583
#> 481 482 483 484 485
#> 11.475383696 26.861252906 25.753065826 11.166712861 5.831286764
#> 486 487 488 489 490
#> 10.159409999 22.843773316 13.320435607 7.860355894 -2.548030471
#> 491 492 493 494 495
#> 33.202988813 15.905680899 -10.539342908 10.226478695 16.370749309
#> 496 497 498 499 500
#> 7.751974674 13.933638567 8.545981972 8.405342008 34.390542260
#> 501 502 503 504 505
#> 10.342150596 28.775577499 43.030629410 7.606961251 16.187598947
#> 506 507 508 509 510
#> 25.192780997 0.274260743 19.795939144 0.381776583 12.313318972
#> 511 512 513 514 515
#> 6.425721743 30.346889506 23.888026838 25.110792052 2.927962592
#> 516 517 518 519 520
#> 16.814447423 11.794682516 7.964661640 27.491122954 25.402371242
#> 521 522 523 524 525
#> -0.720007607 15.093313709 25.980488049 19.318470249 45.770482014
#> 526 527 528 529 530
#> 3.252553166 13.158129724 11.864887226 -0.265486039 10.012024997
#> 531 532 533 534 535
#> -2.600075419 35.190577058 1.100511939 21.661790886 13.696825756
#> 536 537 538 539 540
#> 17.037393630 7.220372618 33.498214089 7.050174893 3.998111836
#> 541 542 543 544 545
#> 8.393227486 5.596206400 26.439610010 7.021495811 12.717707025
#> 546 547 548 549 550
#> 1.248037946 32.919582442 9.599070852 35.934110036 21.332306410
#> 551 552 553 554 555
#> 35.998890142 31.817701747 39.555890321 31.680525285 -1.371153407
#> 556 557 558 559 560
#> 3.855950493 14.925003141 13.706027459 4.412594116 18.780456935
#> 561 562 563 564 565
#> 19.085726340 28.299804772 23.691010757 39.459338673 22.104141654
#> 566 567 568 569 570
#> 18.607673556 25.103337751 22.353622670 19.326959972 11.403806470
#> 571 572 573 574 575
#> 6.275083150 15.904034458 22.028763031 42.976345102 9.470234870
#> 576 577 578 579 580
#> 15.857635962 19.446190526 12.933661050 12.721595389 31.358545132
#> 581 582 583 584 585
#> 31.420922802 2.092147412 3.248953212 9.343193819 21.496235513
#> 586 587 588 589 590
#> 5.350895461 32.265126946 25.190782954 11.358258253 32.999970693
#> 591 592 593 594 595
#> 29.821098272 20.105479297 30.417598063 34.282852085 5.387010423
#> 596 597 598 599 600
#> 13.491817242 11.631574665 14.052646053 18.329564655 27.394324641
#> 601 602 603 604 605
#> 6.259362660 39.142600391 33.012113764 25.103142577 26.174334262
#> 606 607 608 609 610
#> 5.477624805 13.446639641 0.301900603 11.546434215 13.875052016
#> 611 612 613 614 615
#> 20.266410849 25.386065948 30.837175723 24.003855748 25.974746319
#> 616 617 618 619 620
#> 16.528444658 31.068763669 4.764724428 31.185586388 26.428189739
#> 621 622 623 624 625
#> 19.549313459 21.449912686 22.005064604 26.988471942 7.717442228
#> 626 627 628 629 630
#> 14.951518955 1.282966356 12.521105807 39.586739387 27.132694708
#> 631 632 633 634 635
#> 18.235662283 6.624739323 11.143370187 7.478749894 14.297514838
#> 636 637 638 639 640
#> 19.566559717 -6.924661425 -2.414845809 -4.435889148 14.565399430
#> 641 642 643 644 645
#> 12.233299820 3.231660299 8.812264290 8.112804797 8.173976909
#> 646 647 648 649 650
#> 4.727837669 -18.306070351 1.522175540 33.114092891 4.557132087
#> 651 652 653 654 655
#> 10.414967281 -2.488756434 -6.937666760 2.075399906 -0.105186967
#> 656 657 658 659 660
#> 22.305140216 24.449167508 20.863811063 6.611738627 9.973747362
#> 661 662 663 664 665
#> 18.904213975 16.102984434 17.680688985 21.483304165 4.608252066
#> 666 667 668 669 670
#> 15.769200972 -5.961595013 15.479021108 13.180813487 16.217777191
#> 671 672 673 674 675
#> -5.390265254 13.589983321 9.628120773 -7.715781933 11.014469703
#> 676 677 678 679 680
#> -5.241616459 -14.800192823 0.809795399 9.486350150 3.923310798
#> 681 682 683 684 685
#> 5.908647945 18.255954092 16.937629869 19.554968266 -9.738130690
#> 686 687 688 689 690
#> 0.841367674 8.038908350 20.836025138 10.278199730 12.761212282
#> 691 692 693 694 695
#> 25.912542602 16.775690869 9.803196627 23.871881356 12.869852369
#> 696 697 698 699 700
#> 0.807469548 16.030327947 21.253668826 11.089301882 -7.062808575
#> 701 702 703 704 705
#> 13.163181269 3.738635571 17.308577484 34.903497149 16.375841528
#> 706 707 708 709 710
#> 36.813547701 15.209383519 -2.503091446 -4.048170716 -17.976938710
#> 711 712 713 714 715
#> 24.814411963 -7.089368941 -2.073016623 28.051883221 4.128437294
#> 716 717 718 719 720
#> 34.918100961 20.810469012 14.444359075 2.120883504 7.973829816
#> 721 722 723 724 725
#> 9.160041876 14.393478782 17.368625594 -14.688345403 -20.173572180
#> 726 727 728 729 730
#> 4.414805033 6.979120732 -2.463720327 17.996775649 8.504972556
#> 731 732 733 734 735
#> 2.408834720 11.942594774 -5.742375363 4.636940840 11.287006155
#> 736 737 738 739 740
#> 17.727120831 22.802499050 5.972365047 10.482308290 4.558906078
#> 741 742 743 744 745
#> 8.788522226 12.187898284 23.559381345 13.900871295 29.213916817
#> 746 747 748 749 750
#> 27.489838207 3.254194335 4.018250228 20.963992268 -9.374029629
#> 751 752 753 754 755
#> -12.048236827 -9.844213644 18.176275392 16.742205951 27.328422080
#> 756 757 758 759 760
#> 18.743702444 26.272349898 5.079453512 21.860529600 12.945681397
#> 761 762 763 764 765
#> 27.403567736 19.541406533 -4.757681836 8.346274075 -1.347954869
#> 766 767 768 769 770
#> 30.617451700 21.237710500 10.971717033 21.814209064 12.126737540
#> 771 772 773 774 775
#> 16.058758345 5.894751861 11.896549158 17.539599446 -10.100645151
#> 776 777 778 779 780
#> 19.967136753 -6.163863666 19.344497691 -5.656835569 -6.274658352
#> 781 782 783 784 785
#> 0.966855617 10.824909338 -9.027568102 2.603525142 5.879638974
#> 786 787 788 789 790
#> 14.321166817 9.392605462 -4.420204363 16.845493472 13.499820614
#> 791 792 793 794 795
#> 29.347436030 20.852204700 28.170641724 14.478143161 20.656351406
#> 796 797 798 799 800
#> 5.624768639 3.220625698 19.850244446 23.172552556 27.051806306
#> 801 802 803 804 805
#> 13.014584087 -3.297235878 22.261584117 19.670485754 16.406175817
#> 806 807 808 809 810
#> 12.321584970 27.839187202 25.107358898 5.882987318 8.444936872
#> 811 812 813 814 815
#> 17.917393726 30.173830995 23.953582285 10.522617103 35.958554362
#> 816 817 818 819 820
#> -8.843240083 3.376231777 17.206609799 25.270507670 2.725230936
#> 821 822 823 824 825
#> 1.249560721 21.541905199 7.982105542 3.724038501 0.002637065
#> 826 827 828 829 830
#> 4.411829621 13.598483113 3.012878012 20.406149761 35.050702675
#> 831 832 833 834 835
#> 36.889834967 -2.906723501 -5.498512468 16.281114345 25.046886489
#> 836 837 838 839 840
#> 27.052193410 2.899231553 -19.960168927 20.582146215 4.796343870
#> 841 842 843 844 845
#> -9.901601349 11.605418673 11.710568357 -8.812475217 8.080552379
#> 846 847 848 849 850
#> 0.657327021 14.714063320 0.861607428 0.732801272 18.264571794
#> 851 852 853 854 855
#> -12.533610354 12.022597031 0.136650048 17.106587098 15.563644357
#> 856 857 858 859 860
#> 27.618399293 4.555356713 9.233645580 18.702402578 2.444650343
#> 861 862 863 864 865
#> -0.421632476 6.271900072 7.164493168 10.216175372 8.050048764
#> 866 867 868 869 870
#> -6.491967892 5.742711093 8.105734235 -4.798310291 -3.642554999
#> 871 872 873 874 875
#> 4.539802815 13.032957370 25.734075736 8.866388423 6.397433972
#> 876 877 878 879 880
#> -3.577546137 4.787272026 26.479749428 18.377733375 12.741469142
#> 881 882 883 884 885
#> 30.256576532 12.143548618 22.333338658 5.499071738 14.058562922
#> 886 887 888 889 890
#> 1.030568986 1.144625905 25.582232510 3.312298672 32.116713795
#> 891 892 893 894 895
#> 7.662814959 13.807332577 -2.801232465 10.157124538 1.573854910
#> 896 897 898 899 900
#> -5.881713761 23.974955830 5.450602286 5.845844184 1.845148605
#> 901 902 903 904 905
#> 16.671745280 -9.478694321 3.832387865 33.240611396 19.979257717
#> 906 907 908 909 910
#> -6.006510459 -0.328764516 13.518628490 4.935320633 9.834679381
#> 911 912 913 914 915
#> 11.411089477 -2.855248110 4.118448009 7.376471785 25.357276682
#> 916 917 918 919 920
#> 2.416849082 24.745211902 16.646717504 12.847551646 7.285873686
#> 921 922 923 924 925
#> 6.795882905 16.414635680 6.924979858 10.455535031 8.723918195
#> 926 927 928 929 930
#> 13.871988493 23.618032517 16.588046701 28.165489376 14.583107443
#> 931 932 933 934 935
#> 25.227918111 8.214873000 25.461068481 12.291299619 7.422043627
#> 936 937 938 939 940
#> 12.535668183 14.598152006 12.357006556 14.087919866 4.184507128
#> 941 942 943 944 945
#> -0.611777547 5.538477959 3.877271648 17.831674497 21.792758529
#> 946 947 948 949 950
#> 14.434720928 12.895066188 -6.572598858 -20.145665368 -0.466528318
#> 951 952 953 954 955
#> 13.014975863 5.664962748 16.599044252 1.537229316 6.750435372
#> 956 957 958 959 960
#> 7.496391131 2.664815661 6.328449182 -6.394270850 -10.666776167
#> 961 962 963 964 965
#> 19.416684997 -24.413450604 -0.319672233 8.818234245 0.905812488
#> 966 967 968 969 970
#> -9.293116144 11.619581520 7.637618833 12.563063372 6.663761096
#> 971 972 973 974 975
#> 19.858926680 15.489667077 7.093973715 3.239895438 7.888199663
#> 976 977 978 979 980
#> -5.921908472 9.769869747 4.230426376 -6.744986733 -6.946431063
#> 981 982 983 984 985
#> -5.212536332 -1.059893835 -5.503223005 -13.810192786 4.564265450
#> 986 987 988 989 990
#> 0.057052440 3.648395162 15.225911932 -19.711743756 -29.241346656
#> 991 992 993 994 995
#> -0.233787556 -1.396558637 4.483822199 2.526037530 4.839848682
#> 996 997 998 999 1000
#> 3.196407029 -4.789907429 13.255105012 19.918756429 34.440123410
#> 1001 1002 1003 1004 1005
#> 14.132655704 24.656946221 1.389079614 12.556741722 6.276041330
#> 1006 1007 1008 1009 1010
#> 24.316829596 5.140968810 15.771654570 8.943608387 12.689599725
#> 1011 1012 1013 1014 1015
#> 0.467581858 -0.904215490 -4.006674214 14.803774959 4.496664959
#> 1016 1017 1018 1019 1020
#> 5.734218801 11.207248878 -12.741623678 -1.282520899 -2.886370484
#> 1021 1022 1023 1024 1025
#> -5.088323318 8.935081276 20.853214777 13.235257604 19.180555382
#> 1026 1027 1028 1029 1030
#> 20.929244625 13.292125065 13.618399370 19.884680554 29.142156392
#> 1031 1032 1033 1034 1035
#> -12.761193942 13.244518972 11.721861433 -11.990172255 5.561173049
#> 1036 1037 1038 1039 1040
#> 11.226882899 -5.492780502 -3.698116834 -8.588255874 6.742582413
#> 1041 1042 1043 1044 1045
#> 10.555183377 18.904223120 11.568610871 10.677840407 1.453831991
#> 1046 1047 1048 1049 1050
#> 34.346133232 2.553128465 8.107173215 5.079888550 -6.328843240
#> 1051 1052 1053 1054 1055
#> 12.805206835 20.542826347 9.063438613 9.609406905 1.757866168
#> 1056 1057 1058 1059 1060
#> 1.441356926 20.387041090 22.953898848 33.908340897 15.926975768
#> 1061 1062 1063 1064 1065
#> 5.343069041 4.046106225 14.595553152 13.436202339 1.292582761
#> 1066 1067 1068 1069 1070
#> 19.842640750 4.970338171 8.528859928 3.815156539 6.683205051
#> 1071 1072 1073 1074 1075
#> 14.887705061 15.117103409 9.998966340 14.787238210 28.198028129
#> 1076 1077 1078 1079 1080
#> -0.751950825 6.136235725 -5.305398496 7.644733849 25.042387401
#> 1081 1082 1083 1084 1085
#> 32.656883088 -12.084227205 17.421300101 -3.549883414 37.203885955
#> 1086 1087 1088 1089 1090
#> 27.974032692 -1.472036495 -5.237484512 9.685333615 20.792442240
#> 1091 1092 1093 1094 1095
#> 25.080962698 15.740219669 13.903754888 -2.861934240 5.468308862
#> 1096 1097 1098 1099 1100
#> 19.621526801 15.047750304 5.256772136 2.893825902 -3.464134520
#> 1101 1102 1103 1104 1105
#> 17.243432883 8.938561069 -4.634468446 13.379596639 10.014490656
#> 1106 1107 1108 1109 1110
#> 4.968413168 -10.416061080 16.636903984 6.229468610 17.460976626
#> 1111 1112 1113 1114 1115
#> 19.191978795 13.317075940 21.170469142 -0.250609629 -0.947059520
#> 1116 1117 1118 1119 1120
#> 8.230805655 -6.646700257 1.595654495 12.943322143 8.484484486
#> 1121 1122 1123 1124 1125
#> 15.060232345 11.852663031 17.848160272 -5.475630628 -10.881984317
#> 1126 1127 1128 1129 1130
#> -3.121064605 -7.484562568 11.162807241 4.114970484 4.933131287
#> 1131 1132 1133 1134 1135
#> 8.206714459 15.375078168 21.234839704 12.585028329 11.132347306
#> 1136 1137 1138 1139 1140
#> -7.693299127 -5.290132399 8.894188803 17.172105040 18.948616273
#> 1141 1142 1143 1144 1145
#> -0.650007045 0.123181273 2.681540679 16.700776300 22.861225468
#> 1146 1147 1148 1149 1150
#> 35.683656423 17.075089475 20.242501247 21.446569851 13.701843539
#> 1151 1152 1153 1154 1155
#> 5.941671128 14.408165849 8.564549168 3.086520743 8.089369919
#> 1156 1157 1158 1159 1160
#> 3.963058089 -10.492567845 18.100500754 6.817360400 19.593017937
#> 1161 1162 1163 1164 1165
#> 9.271071486 1.769107166 28.040391107 7.437260437 3.666951390
#> 1166 1167 1168 1169 1170
#> 21.660665403 16.713091759 -1.656782341 -1.032429129 -4.265803621
#> 1171 1172 1173 1174 1175
#> -8.607222189 12.912882943 28.845506565 0.573604862 12.730154955
#> 1176 1177 1178 1179 1180
#> 5.561136069 6.980981727 7.410547254 -3.614756183 15.540380872
#> 1181 1182 1183 1184 1185
#> 7.125670268 -2.274674133 3.159644431 0.029024369 8.592818795
#> 1186 1187 1188 1189 1190
#> 17.017404397 5.165908233 12.092194383 4.369337001 3.927874037
#> 1191 1192 1193 1194 1195
#> -8.214164667 26.801029993 18.277920679 -8.714376682 2.771596198
#> 1196 1197 1198 1199 1200
#> -7.208730123 13.618457350 9.111735380 19.666423420 23.459446601
#> 1201 1202 1203 1204 1205
#> 31.661718854 6.643282419 12.612614946 5.990785847 9.470081313
#> 1206 1207 1208 1209 1210
#> 1.266483147 8.456898594 27.266622258 8.408642077 29.959153739
#> 1211 1212 1213 1214 1215
#> 17.625583365 27.622853005 14.874390909 1.459494856 0.396236095
#> 1216 1217 1218 1219 1220
#> 6.388642043 10.181327591 14.378151710 6.848543583 4.643933685
#> 1221 1222 1223 1224 1225
#> -3.100216124 11.592776982 25.749572506 35.346416800 23.297794814
#> 1226 1227 1228 1229 1230
#> -8.239216247 15.616242410 8.980801731 13.857234477 -0.440253054
#> 1231 1232 1233 1234 1235
#> 13.268748080 10.776544986 -1.538956359 0.051848658 12.268657582
#> 1236 1237 1238 1239 1240
#> 5.064522780 -1.420659010 -4.078287483 -4.781216766 7.243790298
#> 1241 1242 1243 1244 1245
#> 40.712530030 34.201954910 5.265117901 1.271311167 17.019650397
#> 1246 1247 1248 1249 1250
#> 2.755097554 30.348513073 29.386172872 19.139529512 13.740225297
#> 1251 1252 1253 1254 1255
#> 22.622485918 27.716480070 13.746221325 18.028730850 -4.081136812
#> 1256 1257 1258 1259 1260
#> 24.255117250 17.504717099 22.994743937 20.085487393 3.094820714
#> 1261 1262 1263 1264 1265
#> 8.412818548 1.268774214 2.974519191 2.936016650 -15.240833701
#> 1266 1267 1268 1269 1270
#> 6.461157500 14.981204710 15.170740835 20.410558939 11.501119410
#> 1271 1272 1273 1274 1275
#> 8.935225614 7.433781237 -13.637407999 12.408538816 32.027885994
#> 1276 1277 1278 1279 1280
#> 28.935168507 32.418361013 27.261717603 26.901373798 9.471611129
#> 1281 1282 1283 1284 1285
#> 25.864303053 20.915748178 21.869008592 17.507089016 13.990790657
#> 1286 1287 1288 1289 1290
#> 19.351183757 -10.094444267 -3.038100610 13.205409653 -1.380205299
#> 1291 1292 1293 1294 1295
#> 12.237266438 16.792569778 22.326001524 30.109575840 17.612806551
#> 1296 1297 1298 1299 1300
#> -10.024070288 16.806899723 1.833136462 3.715776805 5.129424699
#> 1301 1302 1303 1304 1305
#> 7.345169498 14.311081763 25.873591199 23.606079411 8.845388520
#> 1306 1307 1308 1309 1310
#> -0.418374817 17.437867610 10.330989169 -15.254307435 15.088140985
#> 1311 1312 1313 1314 1315
#> 17.502975632 27.438415728 25.264486384 21.366074083 15.210414968
#> 1316 1317 1318 1319 1320
#> 34.409201269 22.311296973 3.759956905 28.313218721 31.055359109
#> 1321 1322 1323 1324 1325
#> 5.898373300 3.885464619 -7.614229370 17.337757613 6.017078045
#> 1326 1327 1328 1329 1330
#> 21.694182343 -1.869315466 -6.854797809 -4.685580177 -2.881033185
#> 1331 1332 1333 1334 1335
#> -0.944887465 13.490140864 17.062854424 38.998644064 4.763421383
#> 1336 1337 1338 1339 1340
#> 1.410475840 0.662417864 14.998619429 -1.407656521 18.838081303
#> 1341 1342 1343 1344 1345
#> 6.575373996 18.917683529 27.370624443 33.903397824 23.450510875
#> 1346 1347 1348 1349 1350
#> 18.017972576 19.536509986 3.652777532 20.518369775 2.579148941
#> 1351 1352 1353 1354 1355
#> 18.528070068 16.992804919 18.293134213 3.083792913 -12.503070197
#> 1356 1357 1358 1359 1360
#> 9.613486835 2.281569236 28.674814256 10.526119951 8.961333362
#> 1361 1362 1363 1364 1365
#> 7.575872215 -11.434143868 21.671603202 15.495142892 1.680409585
#> 1366 1367 1368 1369 1370
#> 18.150149050 10.025080119 21.358797174 25.292173770 15.473012603
#> 1371 1372 1373 1374 1375
#> 8.909804363 1.594741421 14.235610354 19.851413585 29.696588239
#> 1376 1377 1378 1379 1380
#> 21.818623425 6.592977553 -10.457804754 17.739415233 14.605724127
#> 1381 1382 1383 1384 1385
#> 15.875275645 -0.773963750 27.840611290 23.534654440 34.292603348
#> 1386 1387 1388 1389 1390
#> 20.031437449 26.537410024 18.403284000 40.586841713 23.556194828
#> 1391 1392 1393 1394 1395
#> 19.403538148 22.328498013 23.911990994 23.728346295 2.894944379
#> 1396 1397 1398 1399 1400
#> -1.023719299 9.974169199 21.226914930 24.356149007 33.937770196
#> 1401 1402 1403 1404 1405
#> 10.151086217 28.512826048 22.671182441 28.547959598 22.162931461
#> 1406 1407 1408 1409 1410
#> 13.013903617 32.426677916 28.650975246 25.416242127 14.894945792
#> 1411 1412 1413 1414 1415
#> 1.312710204 7.981364954 -0.400340128 16.152054859 -0.920989692
#> 1416 1417 1418 1419 1420
#> -6.910905793 11.964753514 27.819188962 28.895273447 26.740266262
#> 1421 1422 1423 1424 1425
#> 17.189534634 11.965698031 32.498440719 16.455255260 -13.997060690
#> 1426 1427 1428 1429 1430
#> 19.618144508 -0.207912816 18.816836590 17.107493486 16.695672510
#> 1431 1432 1433 1434 1435
#> 13.714503184 29.551747573 25.349523564 30.001772622 19.378487696
#> 1436 1437 1438 1439 1440
#> 23.800256123 15.778576657 19.513079703 27.641766255 41.632365840
#> 1441 1442 1443 1444 1445
#> 39.895742767 2.041970534 30.886320271 26.431040489 10.736546939
#> 1446 1447 1448 1449 1450
#> 3.766992255 20.192750466 23.847279303 19.273964891 13.155394858
#> 1451 1452 1453 1454 1455
#> 36.656001991 30.779733874 6.831455950 16.499622910 4.380782408
#> 1456 1457 1458 1459 1460
#> 1.772388426 9.022431373 40.539538787 12.898110342 15.545858612
#> 1461 1462 1463 1464 1465
#> 12.078688813 6.957887264 -3.241933324 3.547634301 24.396143276
#> 1466 1467 1468 1469 1470
#> 21.737145597 0.792138288 9.582364373 10.162848270 8.735236498
#> 1471 1472 1473 1474 1475
#> 0.917191328 11.430118829 9.998886289 -4.206198428 16.543479939
#> 1476 1477 1478 1479 1480
#> 29.870221948 34.373644044 -3.563433665 7.522410723 14.439430127
#> 1481 1482 1483 1484 1485
#> 11.806272314 -11.126299876 28.309423625 19.895415617 25.776759135
#> 1486 1487 1488 1489 1490
#> 18.678480836 33.054126828 17.786055191 13.019115990 11.248397956
#> 1491 1492 1493 1494 1495
#> 30.818184405 31.362113276 41.877102937 30.710959513 20.014591128
#> 1496 1497 1498 1499 1500
#> 24.070746065 11.578918512 33.292303385 20.336215613 8.145891727
#> 1501 1502 1503 1504 1505
#> 15.124228424 8.064449882 5.550514466 20.301561828 8.167226634
#> 1506 1507 1508 1509 1510
#> 37.291661491 19.761357427 13.517571704 18.667642696 18.940868398
#> 1511 1512 1513 1514 1515
#> 6.392038351 15.056492894 22.865871842 11.743410685 23.506899160
#> 1516 1517 1518 1519 1520
#> 8.711233332 36.892994807 24.853603842 18.451738819 13.818741004
#> 1521 1522 1523 1524 1525
#> 12.646432444 27.000037770 5.642858644 5.529271969 -2.699633587
#> 1526 1527 1528 1529 1530
#> 14.797376215 20.611113845 39.017661317 9.077971451 -1.918646274
#> 1531 1532 1533 1534 1535
#> 30.691839721 14.009194748 9.815394313 19.729976513 9.489508645
#> 1536 1537 1538 1539 1540
#> 19.687790716 15.093322283 3.166742553 10.983685662 22.083060395
#> 1541 1542 1543 1544 1545
#> 35.442337103 -8.821754587 1.183138045 -1.205307300 2.505758272
#> 1546 1547 1548 1549 1550
#> 15.848082854 -1.692977189 -17.460031695 11.977726467 3.912610108
#> 1551 1552 1553 1554 1555
#> 29.086620868 19.667561177 -9.330351956 -4.870654063 8.329654340
#> 1556 1557 1558 1559 1560
#> -5.430012685 3.649482276 44.044785066 14.155333123 1.775005925
#> 1561 1562 1563 1564 1565
#> 9.752832003 19.195196242 30.383788244 12.200769056 12.373600431
#> 1566 1567 1568 1569 1570
#> 12.437347167 -3.523940133 34.487400750 37.708727407 4.359475806
#> 1571 1572 1573 1574 1575
#> -3.415448776 -1.561171245 -4.747338471 22.582915970 14.087877638
#> 1576 1577 1578 1579 1580
#> 17.979635476 22.045140536 25.590089130 21.226647928 22.746915784
#> 1581 1582 1583 1584 1585
#> 8.941615007 21.179068651 1.959661064 -16.884542442 -5.671003405
#> 1586 1587 1588 1589 1590
#> -16.078237068 28.501221812 0.420653028 8.642273236 15.062346653
#> 1591 1592 1593 1594 1595
#> 6.066474862 20.125201374 -32.581424546 3.374205629 3.614014912
#> 1596 1597 1598 1599 1600
#> 16.451577424 14.175974536 6.202026438 -11.547987698 7.188878730
#> 1601 1602 1603 1604 1605
#> 3.105727577 12.464678117 -5.855269220 4.003430257 11.114312793
#> 1606 1607 1608 1609 1610
#> -0.378102820 1.755877733 2.944940432 9.751425058 -14.440491443
#> 1611 1612 1613 1614 1615
#> 13.362507214 -2.061321069 6.272280937 3.948414190 6.031597948
#> 1616 1617 1618 1619 1620
#> -0.893316398 9.625991642 4.000668637 -4.995166293 10.872974816
#> 1621 1622 1623 1624 1625
#> -10.644350562 -2.716794543 29.084570031 15.236018267 33.721981895
#> 1626 1627 1628 1629 1630
#> -5.972179982 34.781744235 8.080510548 20.857091673 -8.437175610
#> 1631 1632 1633 1634 1635
#> 15.128024699 10.362985319 -6.669217113 19.639524271 16.697244449
#> 1636 1637 1638 1639 1640
#> 26.213243727 24.844202934 23.710487932 8.300716450 28.412166413
#> 1641 1642 1643 1644 1645
#> 30.658048296 28.176281908 15.325383821 28.212993527 28.060435604
#> 1646 1647 1648 1649 1650
#> 4.033726815 34.043356930 20.771353643 18.158075073 24.196747572
#> 1651 1652 1653 1654 1655
#> 4.837314304 2.538815635 34.043224231 18.253935373 9.318759884
#> 1656 1657 1658 1659 1660
#> 17.617007662 17.133344299 16.098431660 32.511984365 38.786271495
#> 1661 1662 1663 1664 1665
#> 3.889091705 17.555778726 12.322990347 6.468050604 28.653067027
#> 1666 1667 1668 1669 1670
#> 25.069408987 22.560983241 22.978159138 19.271962031 7.874406559
#> 1671 1672 1673 1674 1675
#> 20.657416144 23.846139771 4.783109487 1.157584759 4.952334897
#> 1676 1677 1678 1679 1680
#> 4.826025751 13.233257442 6.837530148 -8.513486904 0.493261719
#> 1681 1682 1683 1684 1685
#> 16.972026093 4.019394831 10.470490195 19.252701893 18.322095045
#> 1686 1687 1688 1689 1690
#> 16.794921476 25.772576745 26.556978387 23.492477653 19.758395011
#> 1691 1692 1693 1694 1695
#> 15.359175980 -0.975868923 2.230732510 17.813157580 24.385718566
#> 1696 1697 1698 1699 1700
#> 29.265086943 27.746694625 11.436974562 14.707760089 -15.703277060
#> 1701 1702 1703 1704 1705
#> -6.779687391 -1.365150398 3.291380952 13.032272888 -1.344031538
#> 1706 1707 1708 1709 1710
#> 12.263688502 3.435391268 12.464471348 -2.187549078 5.202374728
#> 1711 1712 1713 1714 1715
#> 8.327623973 14.888088507 14.226814373 10.067378730 17.837010292
#> 1716 1717 1718 1719 1720
#> 13.652157693 1.934006810 4.757107795 -7.769604234 15.440152068
#> 1721 1722 1723 1724 1725
#> 11.858816614 -2.445263657 -6.497945904 -1.596147704 15.868961274
#> 1726 1727 1728 1729 1730
#> 5.757266911 -1.628180810 15.394059742 21.593162101 16.530082896
#> 1731 1732 1733 1734 1735
#> -1.847948037 5.340253137 -6.115857511 -1.043762021 6.502105132
#> 1736 1737 1738 1739 1740
#> 9.575649919 28.158981707 -1.517931068 14.240669534 8.866544730
#> 1741 1742 1743 1744 1745
#> 0.579363580 5.531449610 16.375148587 14.666073400 15.362744545
#> 1746 1747 1748 1749 1750
#> 7.934990919 4.722663955 11.302909160 17.311762553 24.792411884
#> 1751 1752 1753 1754 1755
#> -0.831743200 -3.816994724 -12.803504061 10.053366973 14.405450728
#> 1756 1757 1758 1759 1760
#> 8.918018531 19.673460696 36.208162910 22.660018280 13.356390131
#> 1761 1762 1763 1764 1765
#> 25.246182413 11.529064663 22.195236683 15.269112640 17.470481301
#> 1766 1767 1768 1769 1770
#> 12.882130218 20.073499219 21.234811516 19.126490679 32.022929499
#> 1771 1772 1773 1774 1775
#> 31.944675048 16.754746266 20.327018395 23.120601034 0.818032489
#> 1776 1777 1778 1779 1780
#> 20.768392380 10.158247959 38.788966211 35.183644568 27.822462500
#> 1781 1782 1783 1784 1785
#> 22.222689759 31.886731607 8.666638858 28.406297286 22.316124187
#> 1786 1787 1788 1789 1790
#> 2.142931006 22.824838150 13.267576003 13.330022918 13.723953668
#> 1791 1792 1793 1794 1795
#> 14.636382119 44.686995634 39.352554023 -9.301024306 -6.118047596
#> 1796 1797 1798 1799 1800
#> 2.956609964 8.653941767 25.025375843 16.680448448 17.904851988
#> 1801 1802 1803 1804 1805
#> 11.398660531 40.595819518 23.763272042 17.422603919 18.341465827
#> 1806 1807 1808 1809 1810
#> 15.271587262 4.959898807 25.340389240 11.361597010 10.197584103
#> 1811 1812 1813 1814 1815
#> 24.364581809 32.227151529 -3.163572597 8.871660511 11.129671940
#> 1816 1817 1818 1819 1820
#> 24.164863735 4.658281474 23.751827707 14.123785940 14.045997394
#> 1821 1822 1823 1824 1825
#> 26.338438214 42.367298836 20.074904198 20.490016613 24.519734758
#> 1826 1827 1828 1829 1830
#> 7.361464314 11.427795287 -7.574726332 17.152071914 23.241913899
#> 1831 1832 1833 1834 1835
#> 23.611578032 31.713600930 37.493701651 31.744740047 24.048168574
#> 1836 1837 1838 1839 1840
#> 11.328819678 -0.457958736 -6.872025490 22.752932668 2.255793675
#> 1841 1842 1843 1844 1845
#> 18.639992295 6.659232496 0.449788673 8.094379529 26.570327298
#> 1846 1847 1848 1849 1850
#> 15.079883857 1.048866957 21.194962430 2.054885201 10.531847447
#> 1851 1852 1853 1854 1855
#> 18.963145930 26.298359493 42.111284738 42.268053263 28.560841530
#> 1856 1857 1858 1859 1860
#> -4.768937549 -8.262953963 13.148842261 16.271440321 3.269773072
#> 1861 1862 1863 1864 1865
#> 22.365903941 5.120607070 19.272780947 25.691587436 32.886743431
#> 1866 1867 1868 1869 1870
#> 34.988967980 21.698013569 8.455353244 13.427347374 8.507096109
#> 1871 1872 1873 1874 1875
#> -1.039164462 8.156797381 40.201657171 18.280647839 18.563196045
#> 1876 1877 1878 1879 1880
#> 9.343349186 25.453182055 10.902232137 32.812905454 22.046995871
#> 1881 1882 1883 1884 1885
#> 20.381989071 25.223551049 10.853861525 16.779713329 26.275292743
#> 1886 1887 1888 1889 1890
#> 4.872794624 32.186941090 37.418412024 29.692185686 11.368112352
#> 1891 1892 1893 1894 1895
#> 13.812026927 30.089815585 21.588978070 15.969868674 41.987676189
#> 1896 1897 1898 1899 1900
#> 27.345230444 32.573160048 5.767797881 32.313783286 2.157607608
#> 1901 1902 1903 1904 1905
#> 14.454607978 23.161191711 40.441884579 27.319495810 19.209818305
#> 1906 1907 1908 1909 1910
#> 18.924388622 -12.562153504 3.230547934 5.018648089 16.717805743
#> 1911 1912 1913 1914 1915
#> 0.200464243 8.047265069 7.462001598 0.930227820 -0.292940553
#> 1916 1917 1918 1919 1920
#> 26.076870886 13.630316722 28.200943176 4.719245818 -0.751376408
#> 1921 1922 1923 1924 1925
#> 15.200572959 12.263571105 17.020772593 17.366845091 20.009706175
#> 1926 1927 1928 1929 1930
#> 16.233147203 27.745899887 27.658815115 32.737725585 31.184487453
#> 1931 1932 1933 1934 1935
#> 29.019525809 -3.671797102 18.672593609 22.615615297 9.457296407
#> 1936 1937 1938 1939 1940
#> 20.607183582 19.380436143 8.349348314 18.435771286 7.159649370
#> 1941 1942 1943 1944 1945
#> 5.809588303 2.594971656 17.529990885 20.089466849 2.955757441
#> 1946 1947 1948 1949 1950
#> 21.256393459 6.178311958 14.571032859 18.953175534 19.712534472
#> 1951 1952 1953 1954 1955
#> 10.809739354 4.104071296 21.632939341 10.034284942 3.675487705
#> 1956 1957 1958 1959 1960
#> 5.479694690 6.915756387 4.607782464 8.111561902 8.722839422
#> 1961 1962 1963 1964 1965
#> 1.050612393 26.878916760 20.829207209 19.424282871 28.148920989
#> 1966 1967 1968 1969 1970
#> 12.645477235 18.198032012 15.691800471 18.399097927 25.386439286
#> 1971 1972 1973 1974 1975
#> 9.395612236 7.701459529 17.229820437 3.133428416 23.946700232
#> 1976 1977 1978 1979 1980
#> 29.179458246 13.466293475 4.181066901 15.315148291 20.249630506
#> 1981 1982 1983 1984 1985
#> 18.139416532 19.687880569 42.421708175 8.946794200 5.991605537
#> 1986 1987 1988 1989 1990
#> 8.149155739 21.884924545 5.709116767 9.330665921 31.714218410
#> 1991 1992 1993 1994 1995
#> 36.421055838 30.618035592 16.810421205 24.731018334 22.267568189
#> 1996 1997 1998 1999 2000
#> 8.070143890 17.443666324 21.237952211 18.511030697 28.374883029
#> 2001 2002 2003 2004 2005
#> 32.638946584 23.562297385 9.738571153 26.911745450 7.721697164
#> 2006 2007 2008 2009 2010
#> 26.553525569 12.821785177 12.168473654 5.806606580 9.026354399
#> 2011 2012 2013 2014 2015
#> 25.224707155 25.615084744 20.587938179 7.236209510 19.259358208
#> 2016 2017 2018 2019 2020
#> 14.534550750 14.812212195 29.083774002 21.156883439 11.076179791
#> 2021 2022 2023 2024 2025
#> 8.776523370 1.388500795 -6.974058150 38.616307247 20.817612357
#> 2026 2027 2028 2029 2030
#> 22.501885886 6.550313931 2.418995456 5.821107911 1.528939625
#> 2031 2032 2033 2034 2035
#> 34.313630396 44.181317046 11.227436735 14.155487662 3.622950456
#> 2036 2037 2038 2039 2040
#> 15.229011783 -6.102790818 14.529780239 19.598228624 38.718542127
#> 2041 2042 2043 2044 2045
#> 12.089933126 21.466230378 -4.008092757 20.252188790 24.136333753
#> 2046 2047 2048 2049 2050
#> 16.066773104 17.448668753 25.416103018 33.755256302 18.151715743
#> 2051 2052 2053 2054 2055
#> 19.911487178 29.739058344 20.935478523 16.587332383 -5.735629614
#> 2056 2057 2058 2059 2060
#> 26.924013952 24.337391419 -0.370714151 1.973660406 4.905407391
#> 2061 2062 2063 2064 2065
#> 18.928784518 -2.525961704 6.404123767 0.972429299 5.353034663
#> 2066 2067 2068 2069 2070
#> 9.701272643 29.164983601 23.711212579 7.560286999 12.227606605
#> 2071 2072 2073 2074 2075
#> 27.631611264 19.198691441 -2.852269586 12.918549033 12.401681948
#> 2076 2077 2078 2079 2080
#> 6.626593546 5.901249678 35.858093898 16.645464786 2.691881506
#> 2081 2082 2083 2084 2085
#> 8.767994069 16.118084971 11.044102055 -1.327013195 1.983688282
#> 2086 2087 2088 2089 2090
#> 13.410918272 2.285881778 10.713600144 4.364862761 3.173518388
#> 2091 2092 2093 2094 2095
#> 29.262144122 17.470777996 8.557834543 16.359688605 11.736472360
#> 2096 2097 2098 2099 2100
#> 29.338613038 12.761367236 -1.060493004 -2.643249632 13.595122836
#> 2101 2102 2103 2104 2105
#> 11.310411909 -8.307959600 12.819598684 23.889854739 12.616423422
#> 2106 2107 2108 2109 2110
#> 3.581383906 9.376490455 22.568136903 -15.936660177 13.479095175
#> 2111 2112 2113 2114 2115
#> 2.728644234 -5.885026157 6.023156314 2.097120324 -9.407772808
#> 2116 2117 2118 2119 2120
#> 6.173595323 12.533866719 5.926522190 1.921015900 10.812778417
#> 2121 2122 2123 2124 2125
#> 27.437110551 22.871181277 -1.796276182 37.053077580 19.375583091
#> 2126 2127 2128 2129 2130
#> -5.308940558 9.357230125 19.610899650 34.179989881 10.664960724
#> 2131 2132 2133 2134 2135
#> 14.451779772 33.778435973 11.772083557 8.279084583 28.657411759
#> 2136 2137 2138 2139 2140
#> 12.724859251 16.623139852 17.172786260 18.633470570 18.114390090
#> 2141 2142 2143 2144 2145
#> 16.670015635 14.415229930 12.452653854 -9.243576070 25.500487833
#> 2146 2147 2148 2149 2150
#> 3.906138352 21.294801969 18.069558388 23.501294773 24.629900757
#> 2151 2152 2153 2154 2155
#> 8.722179048 37.165521906 26.424408360 19.327921206 2.443354745
#> 2156 2157 2158 2159 2160
#> 19.227053963 15.745557405 17.194985121 7.674309910 16.699104372
#> 2161 2162 2163 2164 2165
#> 19.592203151 10.195393509 33.749528632 18.653471967 7.065268773
#> 2166 2167 2168 2169 2170
#> 26.867216465 5.922121546 18.937074316 13.660806206 20.784617179
#> 2171 2172 2173 2174 2175
#> 0.338145225 2.764638206 8.224051476 30.082488150 18.323074789
#> 2176 2177 2178 2179 2180
#> 12.103244363 15.271035001 26.892767358 14.974246469 17.819998115
#> 2181 2182 2183 2184 2185
#> 13.836428522 -3.700077467 23.788839833 35.261968683 1.111501905
#> 2186 2187 2188 2189 2190
#> 23.180406326 23.325186382 6.053183021 10.541351404 11.750946759
#> 2191 2192 2193 2194 2195
#> -1.687601839 2.155108307 10.617164342 17.642929969 14.881593099
#> 2196 2197 2198 2199 2200
#> 13.447341809 -3.672693679 2.814494542 0.477767892 3.897882351
#> 2201 2202 2203 2204 2205
#> 15.299886141 19.878771558 9.856748079 10.243288488 16.544164036
#> 2206 2207 2208 2209 2210
#> 19.135023190 17.383379463 13.310265168 19.620665829 32.103176968
#> 2211 2212 2213 2214 2215
#> 30.521471182 7.274072953 11.595021431 11.167265787 11.199522450
#> 2216 2217 2218 2219 2220
#> 17.806712148 4.375612972 28.481025203 15.364000719 11.847177686
#> 2221 2222 2223 2224 2225
#> 18.570108495 24.281422714 27.305382770 32.436621181 11.678745725
#> 2226 2227 2228 2229 2230
#> 6.327111872 21.135024777 12.625384763 8.544961521 34.893063712
#> 2231 2232 2233 2234 2235
#> -0.240869227 13.698778527 17.000008732 -5.866145471 3.736181533
#> 2236 2237 2238 2239 2240
#> 16.669555430 12.310548317 22.094490986 48.737590679 -0.450308948
#> 2241 2242 2243 2244 2245
#> 10.240293198 11.902779162 34.243444224 27.785629340 30.890492277
#> 2246 2247 2248 2249 2250
#> 22.826072320 9.240565052 23.740641455 42.133822027 33.407114189
#> 2251 2252 2253 2254 2255
#> 24.368682575 4.896304714 15.179289137 16.287547130 15.655422592
#> 2256 2257 2258 2259 2260
#> 12.220044834 15.873814674 -0.091382679 12.947397077 23.125025751
#> 2261 2262 2263 2264 2265
#> 0.328168800 0.586945638 2.918060368 12.890737826 10.642715858
#> 2266 2267 2268 2269 2270
#> 22.632436905 17.053735715 -2.495877243 1.237283459 2.256558603
#> 2271 2272 2273 2274 2275
#> 8.935171614 2.272347432 3.014523519 5.885949151 13.151555680
#> 2276 2277 2278 2279 2280
#> 4.776505297 23.583142089 15.288373998 5.524784747 10.309131364
#> 2281 2282 2283 2284 2285
#> 11.890240077 19.733784737 -2.547865010 22.097833213 0.254575756
#> 2286 2287 2288 2289 2290
#> 14.049273023 15.582122486 28.385170128 21.102126337 9.987800716
#> 2291 2292 2293 2294 2295
#> 21.884733057 7.393672270 26.643228920 1.198979062 21.893900324
#> 2296 2297 2298 2299 2300
#> 9.221551591 15.501657794 9.874570857 35.978940888 25.851024525
#> 2301 2302 2303 2304 2305
#> 28.843966003 29.826442411 51.447923195 32.992997332 1.305836880
#> 2306 2307 2308 2309 2310
#> 8.822537676 7.314535404 31.351235432 11.095077807 25.514950145
#> 2311 2312 2313 2314 2315
#> 13.415479390 19.278129650 12.063826096 48.223796410 9.009014437
#> 2316 2317 2318 2319 2320
#> 9.938725487 23.885590553 32.465319976 7.770216052 1.239721741
#> 2321 2322 2323 2324 2325
#> 19.758834586 18.355737219 19.997496696 9.431232716 21.624864914
#> 2326 2327 2328 2329 2330
#> 2.017952143 1.067317769 21.361649335 26.064439752 20.790487373
#> 2331 2332 2333 2334 2335
#> 31.613830546 11.275127804 30.626378868 7.969526144 42.124921017
#> 2336 2337 2338 2339 2340
#> 18.631264791 19.548500604 13.061701537 4.442212013 29.882024408
#> 2341 2342 2343 2344 2345
#> 10.536743540 -6.511352635 11.905780397 18.483042042 8.596339075
#> 2346 2347 2348 2349 2350
#> -9.691439021 32.058504318 20.671327535 10.433342698 6.655208682
#> 2351 2352 2353 2354 2355
#> 10.803397721 13.374185923 6.167218899 -2.851471748 6.708906685
#> 2356 2357 2358 2359 2360
#> 18.801625588 9.021745802 17.430575471 18.278207253 8.128524058
#> 2361 2362 2363 2364 2365
#> 26.443083328 24.147090522 11.647330080 11.525214436 33.911380567
#> 2366 2367 2368 2369 2370
#> 25.463603517 4.540703519 -0.664844498 11.964871867 21.595164910
#> 2371 2372 2373 2374 2375
#> -4.563408930 -12.081666801 6.103293629 2.468769675 23.942675043
#> 2376 2377 2378 2379 2380
#> -2.627646488 29.896667892 23.384653341 7.931570455 -15.166098747
#> 2381 2382 2383 2384 2385
#> 18.133819872 18.193992949 30.279886600 13.063256048 -12.066835021
#> 2386 2387 2388 2389 2390
#> -0.319583267 12.614313288 -28.198246982 0.156916757 -3.521333508
#> 2391 2392 2393 2394 2395
#> 8.394802507 6.433803619 6.032126057 17.913821935 20.114333899
#> 2396 2397 2398 2399 2400
#> 1.116291178 0.660315363 12.574523151 -8.410194979 14.024893017
#> 2401 2402 2403 2404 2405
#> 25.432874907 8.617628872 3.856304015 3.840585561 4.331354302
#> 2406 2407 2408 2409 2410
#> 10.723397823 9.345647707 10.865469757 0.364877499 2.662950140
#> 2411 2412 2413 2414 2415
#> 6.019505196 23.804319806 15.693269223 7.232739962 27.878187578
#> 2416 2417 2418 2419 2420
#> 29.204249170 17.354030110 1.911670622 24.197793089 21.377080592
#> 2421 2422 2423 2424 2425
#> 27.562244559 16.765663171 35.793527876 37.594906339 25.640288855
#> 2426 2427 2428 2429 2430
#> 7.842938066 14.028861861 13.097209061 8.871757576 12.634683760
#> 2431 2432 2433 2434 2435
#> 15.555803111 4.035727607 -14.148444816 25.338710365 0.225386622
#> 2436 2437 2438 2439 2440
#> 2.481009768 -12.968340720 11.287843416 4.967793465 13.964539399
#> 2441 2442 2443 2444 2445
#> 2.819147491 -5.725775405 3.408252036 33.692486245 39.105689953
#> 2446 2447 2448 2449 2450
#> 3.541770063 -5.085938589 5.851311030 -3.250622752 -7.132159035
#> 2451 2452 2453 2454 2455
#> 17.751542420 0.133550021 6.974269893 11.081360135 -2.666854374
#> 2456 2457 2458 2459 2460
#> -2.790417318 23.515688481 27.744327896 27.732042422 16.212278396
#> 2461 2462 2463 2464 2465
#> 27.296145042 -4.250786722 4.792160002 0.472564533 19.675362020
#> 2466 2467 2468 2469 2470
#> -0.826319362 13.433014798 31.789677463 17.914647876 23.311954236
#> 2471 2472 2473 2474 2475
#> -10.807870211 25.068513911 18.828098906 12.294996175 -2.218105785
#> 2476 2477 2478 2479 2480
#> 12.847054721 18.362686028 -0.549066049 1.890205909 7.895045679
#> 2481 2482 2483 2484 2485
#> 3.217790929 14.415987650 24.021180972 -7.251774866 -1.350303145
#> 2486 2487 2488 2489 2490
#> 1.710484446 18.019785090 32.236936040 29.757340161 19.310019292
#> 2491 2492 2493 2494 2495
#> 5.193254952 3.097219234 3.725084883 10.638270184 23.816390514
#> 2496 2497 2498 2499 2500
#> 8.350562619 -0.220668314 10.541371316 12.083310525 27.987692602
#> 2501 2502 2503 2504 2505
#> 19.820300561 19.145675100 27.183729226 8.334389900 2.318167196
#> 2506 2507 2508 2509 2510
#> 11.572043607 14.900163679 -17.953397424 -13.729860317 21.302795077
#> 2511 2512 2513 2514 2515
#> 6.592951158 14.105071762 10.538586799 11.973373003 15.408935327
#> 2516 2517 2518 2519 2520
#> 10.206967630 23.200749237 16.855466853 23.939456213 33.455269680
#> 2521 2522 2523 2524 2525
#> 21.395178299 13.424344432 26.663920219 4.874999683 12.252209274
#> 2526 2527 2528 2529 2530
#> 18.263143517 -0.582418309 -6.125142507 18.779830478 16.263150954
#> 2531 2532 2533 2534 2535
#> 23.581038016 26.164716833 33.230339411 10.099444142 5.499058297
#> 2536 2537 2538 2539 2540
#> -6.858113783 3.664781961 14.833839203 16.797632427 -3.359445323
#> 2541 2542 2543 2544 2545
#> 17.095990496 11.198338047 11.765642150 14.086628041 -4.279962661
#> 2546 2547 2548 2549 2550
#> 16.899641807 3.598185955 -7.681115074 12.442491499 7.206135742
#> 2551 2552 2553 2554 2555
#> 0.742363104 27.454802757 14.266848414 31.681224145 11.479281093
#> 2556 2557 2558 2559 2560
#> -15.654648529 1.377592559 25.132775401 14.995253547 25.344727758
#> 2561 2562 2563 2564 2565
#> 29.930063482 15.808670306 4.746978417 3.934186697 32.563570018
#> 2566 2567 2568 2569 2570
#> -8.375393485 -2.452441180 3.346081145 6.292525784 -12.575956056
#> 2571 2572 2573 2574 2575
#> 4.197450560 -7.048444285 3.624221030 23.713294822 19.406040824
#> 2576 2577 2578 2579 2580
#> -1.436936218 2.194355364 -11.933027143 15.689473851 21.142649238
#> 2581 2582 2583 2584 2585
#> 19.407868322 8.969459264 11.122341878 23.882461297 41.873310167
#> 2586 2587 2588 2589 2590
#> 20.440939710 6.463925926 -5.280935630 16.654752854 -7.226824935
#> 2591 2592 2593 2594 2595
#> 4.933863023 9.561775944 35.687934664 4.911450407 22.895787381
#> 2596 2597 2598 2599 2600
#> -1.245080357 9.292551422 11.678859868 13.696961752 -3.246891122
#> 2601 2602 2603 2604 2605
#> -0.258787690 16.257451095 -6.743210117 -1.095919419 9.158919507
#> 2606 2607 2608 2609 2610
#> -10.474582598 32.157208685 11.695009476 1.008158493 -19.218128528
#> 2611 2612 2613 2614 2615
#> 5.064173707 3.701424437 8.161025616 10.964704385 23.306327742
#> 2616 2617 2618 2619 2620
#> 26.823028260 11.762245713 17.582073921 3.493302574 6.505981429
#> 2621 2622 2623 2624 2625
#> 22.018423401 33.265515533 21.759272042 1.774799242 27.001596995
#> 2626 2627 2628 2629 2630
#> 0.045005120 25.037829423 -13.612042013 6.458901954 3.418503053
#> 2631 2632 2633 2634 2635
#> -1.809177507 -14.307965113 15.485430194 0.741753019 9.940226025
#> 2636 2637 2638 2639 2640
#> -4.185433137 16.449530387 13.757176586 27.578476617 13.276607481
#> 2641 2642 2643 2644 2645
#> 34.028783015 -1.883086313 19.478305950 2.937966855 11.909394412
#> 2646 2647 2648 2649 2650
#> -2.976551833 5.956146391 10.036808855 9.316036363 11.607776945
#> 2651 2652 2653 2654 2655
#> 4.867790028 8.308541567 17.844980235 10.754786478 20.576901333
#> 2656 2657 2658 2659 2660
#> 23.729682692 17.852458340 23.446966362 33.300628693 3.957503069
#> 2661 2662 2663 2664 2665
#> 24.012129711 23.672424276 5.507466052 36.853720427 4.662913343
#> 2666 2667 2668 2669 2670
#> 16.864015301 8.804736767 7.684224503 17.047602522 35.363683157
#> 2671 2672 2673 2674 2675
#> 6.709370978 29.030890489 31.686738820 13.096524756 15.806325358
#> 2676 2677 2678 2679 2680
#> 10.477401369 22.094441808 18.798838797 18.485231392 -11.827261058
#> 2681 2682 2683 2684 2685
#> 6.630798836 -0.670846625 8.167075748 9.629196335 7.012039311
#> 2686 2687 2688 2689 2690
#> 27.313856496 8.849971840 14.654960102 20.699585506 12.847072792
#> 2691 2692 2693 2694 2695
#> 12.447910388 3.462146208 21.026834091 16.490668822 19.633498065
#> 2696 2697 2698 2699 2700
#> 12.922415428 14.760896821 35.476059292 16.418906186 4.777503711
#> 2701 2702 2703 2704 2705
#> 20.619506746 12.279216347 11.041185496 12.255234248 -1.237714485
#> 2706 2707 2708 2709 2710
#> 5.803765241 -6.165832230 14.269851182 18.444806987 3.024718821
#> 2711 2712 2713 2714 2715
#> 0.321336764 18.299533493 16.966869547 14.936441115 31.878125352
#> 2716 2717 2718 2719 2720
#> 12.050458966 21.197323916 6.913114678 29.265654836 1.640721632
#> 2721 2722 2723 2724 2725
#> 6.348155275 9.087168238 22.842522016 9.766076454 3.731725368
#> 2726 2727 2728 2729 2730
#> 40.869561397 16.961014846 23.176092971 17.489194370 14.761719244
#> 2731 2732 2733 2734 2735
#> 25.356304417 31.461637615 13.539754134 -1.221513282 17.009934256
#> 2736 2737 2738 2739 2740
#> 8.825968159 20.228835267 28.138115531 20.689573501 16.456461235
#> 2741 2742 2743 2744 2745
#> -7.442517686 14.598352511 19.699540875 17.369564892 15.099731017
#> 2746 2747 2748 2749 2750
#> 7.313220082 21.420760570 32.304413570 20.911119029 33.342830962
#> 2751 2752 2753 2754 2755
#> 40.828253545 40.703540960 45.034124005 20.954549107 18.928961105
#> 2756 2757 2758 2759 2760
#> 27.894446395 20.700894323 19.164936360 12.218727466 19.991624667
#> 2761 2762 2763 2764 2765
#> 28.749772133 38.065535913 29.200439826 31.182302684 17.873389287
#> 2766 2767
#> 26.906577762 20.839176340
# using the data used for fitting also for predicting,
# correctly results in fitted values
all.equal(predict(res.ml.L2, dataMultilevelIV, model = "GMM_L2"),
fitted(res.ml.L2, model = "GMM_L2")) # TRUE
#> [1] TRUE