Predicted values based on multilevel models employing the GMM approach for hierarchical data with endogenous regressors.

# S3 method for class 'rendo.multilevel'
predict(
  object,
  newdata,
  model = c("REF", "FE_L2", "FE_L3", "GMM_L2", "GMM_L3"),
  ...
)

Arguments

object

Object of class inheriting from "rendo.multilevel"

newdata

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.

model

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.

Value

predict.rendo.multilevel produces a vector of predictions

See also

The model fitting function multilevelIV

Examples

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