sparse.mediation.RdSparse mediation for high-dimensional mediators
Fit a mediation model via penalized maximum likelihood and structural equation model. The regularization path is computed for the lasso or elasticnet penalty at a grid of values for the regularization parameter lambda. Currently, mediation analysis is developed based on gaussian assumption.
Multiple Mediaton Model: (1) M = Xa + e1 (2) Y = Xc' + Mb + e2 And in the optimization, we do not regularize c', due to the assumption of partial mediation.
sparse.mediation(X, M, Y, tol = 10^(-5), max.iter = 50, lambda = log(1 + (1:30)/100), lambda2 = c(0.3, 0.5), alpha = 1, tau = 1, verbose = FALSE, Omega.out = FALSE)
| X | One-dimensional predictor |
|---|---|
| M | Multivariate mediator |
| Y | Outcome |
| tol | (default -10^(-5)) convergence criterion |
| max.iter | (default=100) maximum iteration |
| lambda | (default=log(1+(1:50)/125)) tuning parameter for L1 penalization |
| lambda2 | (default=c(0.2,0.5)) tuning parameter for L1 penalization for covariance matrix, used only for p>n. |
| alpha | (default=1) tuning parameter for L2 penalization |
| tau | (default=1) tuning parameter for differentail weight between paths a (X -> M) and b (M -> Y) |
| verbose | (default=TRUE) print progress. |
| Omega.out | (defult=TRUE) output Omega estimates |
c: directeffect per each tuning parameter lambda. length(lambda)-dimensional vector
hatb: Path b (M->Y given X) estimates: V-by-lenbth(lambda) matrix
hata: Path a (X->M) estimates: V-by-lenbth(lambda) matrix
medest: Mediation estimates (a*b): V-by-lenbth(lambda) matrix
alpha: a scalor of the numing parameter for L2 regularization
lambda: a vector of tuning parameters for L1-penalization
tau: weight used.
nump: Number of selected mediation paths
Omega Estimated covariance matrix of the mediator
TBA
library(sparsemediation) N=100 V=50 set.seed(1234) a = rep(0,V);a[1:3]<-5;b<-a X = rnorm(N) M = X %*% t(a)+ matrix(rnorm(N*V),N,V) Y = X + M %*% b + rnorm(N) sparse.mediation(X,M,Y)#> $c #> [1] -0.0066679557 -0.0062166657 -0.0008203645 -0.0008069474 0.0000000000 #> [6] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [11] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [16] 0.0000000000 0.0006040397 0.0006002166 0.0019610889 0.0019615717 #> [21] 0.0030202345 0.0030079270 0.0039543363 0.0039338585 0.0045886413 #> [26] 0.0045615079 0.0051588912 0.0051291720 0.0000000000 0.0000000000 #> [31] 0.0000000000 0.0000000000 0.0017978618 0.0017674541 0.0019569858 #> [36] 0.0019342859 0.0025368246 0.0024115172 0.0029513949 0.0029429507 #> [41] 0.0029366795 0.0030679595 0.0030530436 0.0031892136 0.0031421187 #> [46] 0.0032722317 0.0032695074 0.0033661052 0.0033655698 0.0034495295 #> [51] 0.0034461878 0.0035266346 0.0035284907 0.0034766521 0.0034552964 #> [56] 0.0034537466 0.0034406185 0.0034033273 0.0034908532 0.0034458415 #> #> $hatb #> [,1] [,2] [,3] [,4] [,5] #> [1,] 5.080561034 5.080739e+00 5.035350399 5.035554062 5.047511095 #> [2,] 5.129324391 5.118885e+00 5.095556311 5.094990584 5.082026430 #> [3,] 5.113977126 5.115119e+00 5.094756566 5.094678805 5.077901366 #> [4,] 0.131248607 1.186681e-01 0.083527161 0.083564262 0.053142055 #> [5,] -0.077704700 -8.296832e-02 -0.071487589 -0.069895737 -0.057677929 #> [6,] -0.059175346 -7.541915e-02 -0.065841295 -0.065503090 -0.059429372 #> [7,] 0.098340804 8.199673e-02 0.095215033 0.096146552 0.089755686 #> [8,] -0.082873365 -9.214982e-02 -0.066512622 -0.065943060 -0.055785278 #> [9,] -0.217665559 -2.160601e-01 -0.213928873 -0.213313525 -0.193291543 #> [10,] -0.018065665 -2.388191e-02 -0.023828173 -0.022579872 -0.014047076 #> [11,] 0.199678280 1.868043e-01 0.163374170 0.163773221 0.129612338 #> [12,] -0.179821990 -1.735418e-01 -0.168867588 -0.171035383 -0.161975731 #> [13,] 0.063251793 6.219731e-02 0.044578832 0.043595342 0.030929118 #> [14,] -0.012928513 -1.592797e-02 -0.025299441 -0.026378613 -0.016830347 #> [15,] 0.202522439 1.949846e-01 0.182503638 0.179314032 0.165120893 #> [16,] 0.000000000 0.000000e+00 0.000000000 0.000000000 0.000000000 #> [17,] -0.250550769 -2.568167e-01 -0.238659568 -0.240585828 -0.232339419 #> [18,] -0.057848545 -6.070235e-02 -0.063390984 -0.064667590 -0.065607017 #> [19,] 0.000000000 -6.666964e-03 -0.014153700 -0.017293736 -0.021389973 #> [20,] 0.278401843 2.691017e-01 0.232327761 0.232771566 0.199556578 #> [21,] -0.002150225 -8.027685e-03 -0.003527778 -0.004644504 -0.006271463 #> [22,] 0.241840134 2.406024e-01 0.216002567 0.214861044 0.200696680 #> [23,] -0.162413994 -1.695356e-01 -0.160592237 -0.160001692 -0.150235396 #> [24,] 0.032795233 2.669950e-02 0.024897646 0.024659208 0.024769111 #> [25,] 0.018950187 1.510721e-02 0.018170615 0.016369176 0.014275146 #> [26,] 0.127676438 1.201296e-01 0.097149308 0.096816707 0.081070914 #> [27,] 0.292752988 2.849765e-01 0.242136554 0.240543768 0.213173339 #> [28,] -0.019382097 -2.299099e-02 -0.019773444 -0.021931192 -0.019533228 #> [29,] 0.085586382 7.612876e-02 0.056413521 0.055873500 0.036586064 #> [30,] 0.017399076 0.000000e+00 0.000000000 0.000000000 0.000000000 #> [31,] 0.249338926 2.399819e-01 0.216919875 0.217791706 0.192161641 #> [32,] 0.000000000 0.000000e+00 0.000000000 0.000000000 0.000000000 #> [33,] 0.117289943 1.212442e-01 0.110409946 0.109150204 0.103393347 #> [34,] 0.216900394 2.098724e-01 0.190499991 0.189424324 0.165067302 #> [35,] 0.285630018 2.700244e-01 0.237286052 0.236489745 0.201131702 #> [36,] -0.146010346 -1.538696e-01 -0.141551359 -0.142500151 -0.116798898 #> [37,] 0.044489937 4.000596e-02 0.011686823 0.010492078 0.000000000 #> [38,] 0.000000000 0.000000e+00 0.000000000 0.000000000 0.006269615 #> [39,] 0.010906187 9.907845e-04 0.000000000 0.000000000 0.000000000 #> [40,] 0.000000000 -2.467321e-05 0.000000000 0.000000000 0.000000000 #> [41,] 0.016266638 1.418932e-02 0.000000000 0.000000000 0.000000000 #> [42,] -0.021770002 -2.850713e-02 -0.018273264 -0.019321395 -0.007382827 #> [43,] -0.052916759 -5.722964e-02 -0.049849031 -0.049555826 -0.043336032 #> [44,] 0.009879693 7.828679e-03 0.000000000 0.000000000 0.000000000 #> [45,] -0.194530036 -1.978759e-01 -0.163312388 -0.162717638 -0.137249055 #> [46,] -0.107063097 -1.193124e-01 -0.108495820 -0.107662913 -0.100091826 #> [47,] -0.195515027 -1.978441e-01 -0.161285341 -0.160673790 -0.127150168 #> [48,] 0.002676998 3.436272e-03 0.000000000 0.000000000 0.000000000 #> [49,] -0.108440348 -1.222672e-01 -0.116145676 -0.116343022 -0.109195227 #> [50,] -0.032427735 -4.274129e-02 -0.038750276 -0.038729218 -0.031595215 #> [,6] [,7] [,8] [,9] [,10] #> [1,] 5.048385053 5.063989741 5.065244024 5.081156172 5.081913322 #> [2,] 5.081621652 5.071645851 5.071061950 5.062837919 5.062508186 #> [3,] 5.077917246 5.066332140 5.066436013 5.053269737 5.053224162 #> [4,] 0.053688081 0.025933080 0.027437214 0.002194233 0.002914939 #> [5,] -0.055306293 -0.039215491 -0.037172949 -0.020859389 -0.020040966 #> [6,] -0.058058604 -0.052097804 -0.049895623 -0.041579278 -0.040478868 #> [7,] 0.091348732 0.082410557 0.084615333 0.077760960 0.078720840 #> [8,] -0.054386751 -0.047554875 -0.046122973 -0.036935002 -0.036409955 #> [9,] -0.191398329 -0.167731840 -0.165179701 -0.138917562 -0.137740467 #> [10,] -0.010620132 0.000000000 0.000000000 0.000000000 0.000000000 #> [11,] 0.132519897 0.098505513 0.102089531 0.069330772 0.071096921 #> [12,] -0.162875161 -0.154234807 -0.155004059 -0.143467402 -0.143742837 #> [13,] 0.032581558 0.022105299 0.023203062 0.008879398 0.009160824 #> [14,] -0.014910470 -0.002464722 -0.001264093 0.000000000 0.000000000 #> [15,] 0.166061597 0.146200758 0.147585216 0.128717497 0.129426058 #> [16,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [17,] -0.230573488 -0.226398380 -0.223663762 -0.217439657 -0.216000653 #> [18,] -0.064653412 -0.065494464 -0.063574945 -0.061621570 -0.060707003 #> [19,] -0.019099771 -0.028734740 -0.025050779 -0.032917944 -0.031043098 #> [20,] 0.200296032 0.169416320 0.170807704 0.140485457 0.141053885 #> [21,] -0.004621896 -0.007962625 -0.006240121 -0.009958768 -0.009231817 #> [22,] 0.201985288 0.188702404 0.190155559 0.176535885 0.177242364 #> [23,] -0.149495034 -0.139726262 -0.137775156 -0.122913356 -0.121991705 #> [24,] 0.023620358 0.027012477 0.025102044 0.027726061 0.026545753 #> [25,] 0.013461540 0.007746062 0.007235413 0.002664862 0.002306387 #> [26,] 0.082272079 0.069083959 0.070322350 0.054991152 0.055445022 #> [27,] 0.215384079 0.187222807 0.190684324 0.163426671 0.165196426 #> [28,] -0.019103307 -0.019276619 -0.018059454 -0.015373404 -0.014777751 #> [29,] 0.036069185 0.016197237 0.015919643 0.000000000 0.000000000 #> [30,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [31,] 0.194709202 0.170158311 0.172719231 0.146790739 0.147836246 #> [32,] 0.001982259 0.007137582 0.010011023 0.010624610 0.011803030 #> [33,] 0.103687638 0.099043882 0.099626215 0.094888910 0.095063811 #> [34,] 0.167791831 0.139026790 0.143269241 0.116485520 0.118532239 #> [35,] 0.202643960 0.164441746 0.166695193 0.130484811 0.131584342 #> [36,] -0.113100409 -0.087165945 -0.082313925 -0.055042290 -0.052544135 #> [37,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [38,] 0.007298311 0.013825043 0.015005600 0.023015941 0.023616960 #> [39,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [40,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [41,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [42,] -0.006676259 0.000000000 0.000000000 0.000000000 0.000000000 #> [43,] -0.042052953 -0.032845303 -0.031948442 -0.023206047 -0.022872016 #> [44,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [45,] -0.136263604 -0.110220686 -0.109209657 -0.081503180 -0.081099537 #> [46,] -0.098814710 -0.091196863 -0.089759101 -0.081296623 -0.080651504 #> [47,] -0.125607040 -0.091794510 -0.090034410 -0.054836988 -0.054104970 #> [48,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [49,] -0.106879900 -0.100880524 -0.098320423 -0.091928367 -0.090695759 #> [50,] -0.030196566 -0.021275939 -0.019384086 -0.007623970 -0.006770483 #> [,11] [,12] [,13] [,14] [,15] #> [1,] 5.102224874 5.102313570 5.111319052 5.111437260 5.132345586 #> [2,] 5.031580932 5.031556793 5.027742149 5.027708945 5.024644600 #> [3,] 5.057392024 5.057350179 5.047758884 5.047756926 5.027566447 #> [4,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [5,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [6,] -0.026984152 -0.026941036 -0.012766333 -0.012640906 0.000000000 #> [7,] 0.067009950 0.067014743 0.057006650 0.057230081 0.046721873 #> [8,] -0.047570644 -0.047554354 -0.041126039 -0.040842066 -0.021843064 #> [9,] -0.106786194 -0.106759384 -0.092853789 -0.092618146 -0.077382933 #> [10,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [11,] 0.031009804 0.031113691 0.000000000 0.000000000 0.000000000 #> [12,] -0.138791025 -0.138833731 -0.129543745 -0.129415771 -0.118131971 #> [13,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [14,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [15,] 0.085563712 0.085620165 0.080134554 0.080323820 0.081656189 #> [16,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [17,] -0.223587974 -0.223523740 -0.210286568 -0.210007382 -0.193517133 #> [18,] -0.058478521 -0.058442543 -0.054501649 -0.054221849 -0.045726045 #> [19,] -0.049578125 -0.049460818 -0.045647313 -0.045273444 -0.032249693 #> [20,] 0.112351321 0.112388179 0.090471686 0.090641833 0.072658180 #> [21,] -0.012037809 -0.012030071 -0.008830632 -0.008668896 -0.004633959 #> [22,] 0.163571833 0.163600461 0.148289565 0.148422526 0.136223991 #> [23,] -0.107484493 -0.107483222 -0.096297591 -0.095998212 -0.087152016 #> [24,] 0.019887179 0.019815176 0.019069065 0.019078390 0.016764953 #> [25,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [26,] 0.043858682 0.043869169 0.030320019 0.030430954 0.011584620 #> [27,] 0.143585644 0.143694956 0.122849371 0.123117552 0.113746989 #> [28,] -0.011589649 -0.011580365 -0.001969885 -0.001703129 0.000000000 #> [29,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [30,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [31,] 0.122784909 0.122852010 0.099847433 0.100075720 0.087179836 #> [32,] 0.011861268 0.011925048 0.002832215 0.003051355 0.000000000 #> [33,] 0.088760021 0.088773050 0.078770461 0.078996325 0.072063165 #> [34,] 0.086409709 0.086519898 0.058804622 0.059151193 0.043532952 #> [35,] 0.093134924 0.093190596 0.072875203 0.073158503 0.060655162 #> [36,] -0.021157459 -0.021085553 -0.005682268 -0.005445769 0.000000000 #> [37,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [38,] 0.033628685 0.033638887 0.037881134 0.038054953 0.034091244 #> [39,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [40,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [41,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [42,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [43,] -0.013304012 -0.013329380 0.000000000 0.000000000 0.000000000 #> [44,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [45,] -0.051113649 -0.051136546 -0.030359988 -0.030132302 -0.012831913 #> [46,] -0.064252567 -0.064254089 -0.060213864 -0.060127441 -0.057745463 #> [47,] -0.009146882 -0.009184706 0.000000000 0.000000000 0.000000000 #> [48,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [49,] -0.094379953 -0.094352172 -0.083408270 -0.083184879 -0.070473982 #> [50,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [,16] [,17] [,18] [,19] [,20] #> [1,] 5.131938282 5.142446018 5.142384426 5.143442817 5.143510162 #> [2,] 5.025020346 5.018013929 5.018087653 5.010040584 5.009925441 #> [3,] 5.027599181 5.012626285 5.012630220 4.997329453 4.997319447 #> [4,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [5,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [6,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [7,] 0.046908037 0.035874443 0.035692605 0.023609938 0.023428833 #> [8,] -0.021733001 -0.008739499 -0.008972862 0.000000000 0.000000000 #> [9,] -0.077398949 -0.062632813 -0.062780039 -0.052578297 -0.052792016 #> [10,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [11,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [12,] -0.118012347 -0.110211879 -0.110324515 -0.096775255 -0.097037382 #> [13,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [14,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [15,] 0.081636898 0.073710623 0.073543797 0.071364894 0.071276046 #> [16,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [17,] -0.193546894 -0.183596996 -0.183797936 -0.169204750 -0.169295113 #> [18,] -0.045640788 -0.041319625 -0.041445321 -0.038797788 -0.039049660 #> [19,] -0.032299365 -0.024260559 -0.024483125 -0.013137549 -0.013327430 #> [20,] 0.072756896 0.054246617 0.054136533 0.035847684 0.035690474 #> [21,] -0.004600139 -0.001124862 -0.001251999 0.000000000 0.000000000 #> [22,] 0.136330534 0.125632023 0.125571709 0.114589147 0.114446528 #> [23,] -0.087017920 -0.081585097 -0.081802126 -0.078150285 -0.078445063 #> [24,] 0.016910975 0.012050773 0.012018345 0.006062810 0.005961868 #> [25,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [26,] 0.011582979 0.000000000 0.000000000 0.000000000 0.000000000 #> [27,] 0.113753498 0.103192944 0.103095423 0.092235258 0.092050157 #> [28,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [29,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [30,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [31,] 0.087256356 0.074369714 0.074248507 0.058159581 0.058012894 #> [32,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [33,] 0.072182653 0.063663786 0.063547277 0.050614269 0.050383425 #> [34,] 0.043562835 0.025886246 0.025742213 0.009201025 0.009039596 #> [35,] 0.060705469 0.046561646 0.046377569 0.035135667 0.034950644 #> [36,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [37,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [38,] 0.034094955 0.027885846 0.027817508 0.020188515 0.020126244 #> [39,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [40,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [41,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [42,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [43,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [44,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 #> [45,] -0.012738495 0.000000000 0.000000000 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0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [9,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [10,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [11,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [12,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [13,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [14,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [15,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [16,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [17,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [18,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [19,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [20,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [21,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [22,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [23,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [24,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [25,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [26,] -0.03741695 -0.02064559 -0.02849008 -0.01110346 -0.01960218 -0.001540156 #> [27,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [28,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [29,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [30,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [31,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [32,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [33,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [34,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [35,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [36,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [37,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [38,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [39,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [40,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [41,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [42,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [43,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [44,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [45,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [46,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [47,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [48,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [49,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [50,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 #> [,49] [,50] [,51] [,52] [,53] [,54] [,55] #> [1,] 4.28672789 4.106731 4.259532463 4.072769 4.232344 4.039904 4.206443 #> [2,] 4.38629405 4.201672 4.359302402 4.167375 4.332355 4.134091 4.305435 #> [3,] 4.43983222 4.253267 4.412188099 4.218260 4.384608 4.184244 4.357054 #> [4,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [5,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [6,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [7,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [8,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [9,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 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0.000000 #> [23,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [24,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [25,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [26,] -0.01073462 0.000000 -0.001894188 0.000000 0.000000 0.000000 0.000000 #> [27,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [28,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [29,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [30,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [31,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [32,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [33,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [34,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [35,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [36,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [37,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [38,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [39,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [40,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [41,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [42,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [43,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [44,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [45,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [46,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [47,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [48,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [49,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [50,] 0.00000000 0.000000 0.000000000 0.000000 0.000000 0.000000 0.000000 #> [,56] [,57] [,58] [,59] [,60] #> [1,] 4.006075 4.179462 3.972020 4.152515 3.938059 #> [2,] 4.099904 4.278306 4.065492 4.251239 4.031182 #> [3,] 4.149344 4.329285 4.114213 4.301584 4.079187 #> [4,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [5,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [6,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [7,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [8,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [9,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [10,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [11,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [12,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [13,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [14,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [15,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [16,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [17,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [18,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [19,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [20,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [21,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [22,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [23,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [24,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [25,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [26,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [27,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [28,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [29,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [30,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [31,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [32,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [33,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [34,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [35,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [36,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [37,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [38,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [39,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [40,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [41,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [42,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [43,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [44,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [45,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [46,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [47,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [48,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [49,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> [50,] 0.000000 0.000000 0.000000 0.000000 0.000000 #> #> $medest #> [,1] [,2] [,3] [,4] [,5] #> [1,] 25.5755090508 2.553838e+01 25.0195451060 2.500014e+01 2.486492e+01 #> [2,] 26.3579148007 2.626673e+01 25.8496935251 2.582577e+01 2.556302e+01 #> [3,] 26.6433915016 2.661021e+01 26.2006440235 2.617876e+01 2.589096e+01 #> [4,] -0.0036449401 -3.837668e-03 -0.0025517290 -2.334875e-03 -1.271856e-03 #> [5,] -0.0123438847 -1.273937e-02 -0.0097174848 -9.434156e-03 -6.976800e-03 #> [6,] -0.0018931915 -2.011991e-03 -0.0006000199 -5.344713e-04 0.000000e+00 #> [7,] 0.0081777012 6.352691e-03 0.0055861464 5.542509e-03 3.832647e-03 #> [8,] 0.0038440748 4.620139e-03 0.0032388601 3.068778e-03 2.410693e-03 #> [9,] -0.0242010290 -2.272824e-02 -0.0182516196 -1.796819e-02 -1.323168e-02 #> [10,] -0.0009032874 -1.068221e-03 -0.0006491700 -5.936563e-04 -1.743658e-04 #> [11,] -0.0197138797 -1.917473e-02 -0.0165293231 -1.619317e-02 -1.236493e-02 #> [12,] -0.0200007866 -1.852198e-02 -0.0147658768 -1.498934e-02 -1.163305e-02 #> [13,] 0.0000000000 -1.444333e-04 -0.0000375755 0.000000e+00 0.000000e+00 #> [14,] -0.0007385389 -8.272903e-04 -0.0008785592 -8.914409e-04 -3.391234e-04 #> [15,] -0.0063365708 -7.861102e-03 -0.0060733677 -6.535170e-03 -4.425268e-03 #> [16,] 0.0000000000 0.000000e+00 0.0000000000 0.000000e+00 0.000000e+00 #> [17,] -0.0398780689 -3.906965e-02 -0.0318459123 -3.155896e-02 -2.704355e-02 #> [18,] 0.0042869574 4.761652e-03 0.0048705759 4.805857e-03 4.621926e-03 #> [19,] 0.0000000000 0.000000e+00 0.0000000000 0.000000e+00 0.000000e+00 #> [20,] 0.0123334926 1.019822e-02 0.0038391872 3.576004e-03 0.000000e+00 #> [21,] -0.0001827864 -6.322845e-04 -0.0002042176 -2.635863e-04 -2.525018e-04 #> [22,] 0.0054297924 3.939506e-03 0.0000000000 0.000000e+00 0.000000e+00 #> [23,] 0.0125695779 1.379718e-02 0.0128325783 1.241213e-02 1.111452e-02 #> [24,] 0.0067331220 5.336663e-03 0.0045207101 4.452698e-03 4.115165e-03 #> [25,] -0.0001402692 -1.684562e-04 -0.0001772917 -1.245188e-04 -6.025195e-05 #> [26,] -0.0267179129 -2.557539e-02 -0.0205606825 -2.026586e-02 -1.670545e-02 #> [27,] 0.0284306292 2.590972e-02 0.0169788949 1.659382e-02 1.120885e-02 #> [28,] 0.0019780130 2.435200e-03 0.0020668514 2.242191e-03 1.928693e-03 #> [29,] 0.0050930125 4.110490e-03 0.0020003948 1.924614e-03 7.258464e-04 #> [30,] 0.0007727989 0.000000e+00 0.0000000000 0.000000e+00 0.000000e+00 #> [31,] 0.0139039431 1.122621e-02 0.0064001578 5.662960e-03 2.402759e-03 #> [32,] 0.0000000000 0.000000e+00 0.0000000000 0.000000e+00 0.000000e+00 #> [33,] 0.0123495394 1.203827e-02 0.0087231977 8.502363e-03 6.405071e-03 #> [34,] -0.0152618778 -1.557434e-02 -0.0138777026 -1.337222e-02 -1.107304e-02 #> [35,] 0.0262327871 2.322712e-02 0.0157320873 1.542361e-02 1.000212e-02 #> [36,] -0.0151302075 -1.503294e-02 -0.0114070865 -1.122030e-02 -7.623340e-03 #> [37,] 0.0014410387 1.059150e-03 0.0000749126 5.573747e-05 0.000000e+00 #> [38,] 0.0000000000 0.000000e+00 0.0000000000 0.000000e+00 0.000000e+00 #> [39,] -0.0006098590 -5.912066e-05 0.0000000000 0.000000e+00 0.000000e+00 #> [40,] 0.0000000000 1.449274e-06 0.0000000000 0.000000e+00 0.000000e+00 #> [41,] 0.0001607752 5.835747e-05 0.0000000000 0.000000e+00 0.000000e+00 #> [42,] -0.0026692411 -3.338451e-03 -0.0017975269 -1.880758e-03 -6.103122e-04 #> [43,] -0.0030214389 -2.685057e-03 -0.0015541336 -1.266411e-03 -6.277991e-04 #> [44,] 0.0003281464 2.185587e-04 0.0000000000 0.000000e+00 0.000000e+00 #> [45,] -0.0445810566 -4.426744e-02 -0.0334660127 -3.317530e-02 -2.597262e-02 #> [46,] -0.0000934256 0.000000e+00 0.0000000000 0.000000e+00 0.000000e+00 #> [47,] -0.0027500714 -3.045507e-03 0.0000000000 0.000000e+00 0.000000e+00 #> [48,] -0.0001478002 -2.072725e-04 0.0000000000 0.000000e+00 0.000000e+00 #> [49,] 0.0049948226 6.086086e-03 0.0056322341 5.386362e-03 4.673043e-03 #> [50,] 0.0008472210 1.290362e-03 0.0011154240 1.022344e-03 7.128479e-04 #> [,6] [,7] [,8] [,9] [,10] #> [1,] 2.482878e+01 2.476071e+01 2.468478e+01 2.468373e+01 2.454578e+01 #> [2,] 2.551868e+01 2.532390e+01 2.523605e+01 2.511846e+01 2.497180e+01 #> [3,] 2.584832e+01 2.564092e+01 2.555575e+01 2.540986e+01 2.526331e+01 #> [4,] -9.808320e-04 -3.881986e-04 -2.238640e-04 -9.116663e-06 0.000000e+00 #> [5,] -6.690308e-03 -4.239728e-03 -3.997312e-03 -2.022485e-03 -1.895059e-03 #> [6,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [7,] 3.901913e-03 2.388802e-03 2.401760e-03 1.327687e-03 1.145398e-03 #> [8,] 2.097007e-03 1.702334e-03 1.392384e-03 9.921784e-04 7.846640e-04 #> [9,] -1.309973e-02 -9.054718e-03 -8.808160e-03 -5.752421e-03 -5.333654e-03 #> [10,] -1.316608e-04 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [11,] -1.199204e-02 -8.625847e-03 -8.335741e-03 -5.417852e-03 -5.155690e-03 #> [12,] -1.193008e-02 -9.003441e-03 -9.224880e-03 -6.737839e-03 -6.649442e-03 #> [13,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [14,] -2.997526e-04 -1.886554e-05 -8.913385e-06 0.000000e+00 0.000000e+00 #> [15,] -4.625072e-03 -2.654183e-03 -2.767747e-03 -1.010568e-03 -1.206920e-03 #> [16,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [17,] -2.659719e-02 -2.301917e-02 -2.243560e-02 -1.929727e-02 -1.853524e-02 #> [18,] 4.210588e-03 4.045716e-03 3.518405e-03 3.164754e-03 2.744077e-03 #> [19,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [20,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [21,] -1.855166e-04 -2.004205e-04 -1.521382e-04 -1.198105e-04 -8.485179e-05 #> [22,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [23,] 1.032663e-02 9.212315e-03 8.266072e-03 6.918599e-03 6.172082e-03 #> [24,] 3.920540e-03 4.131237e-03 3.819694e-03 3.921429e-03 3.686046e-03 #> [25,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [26,] -1.656160e-02 -1.371050e-02 -1.355287e-02 -1.041447e-02 -1.019282e-02 #> [27,] 1.129153e-02 7.038990e-03 7.008369e-03 4.007282e-03 3.578412e-03 #> [28,] 1.794948e-03 1.751276e-03 1.536539e-03 1.251962e-03 1.121299e-03 #> [29,] 7.099908e-04 1.053615e-04 9.130403e-05 0.000000e+00 0.000000e+00 #> [30,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [31,] 2.007037e-03 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [32,] -9.405309e-05 -3.160940e-04 -3.873204e-04 -3.723955e-04 -3.499313e-04 #> [33,] 6.401051e-03 4.698053e-03 4.639179e-03 3.295324e-03 3.035139e-03 #> [34,] -1.047060e-02 -8.226134e-03 -7.664205e-03 -5.798971e-03 -5.249646e-03 #> [35,] 1.003149e-02 5.860575e-03 5.796580e-03 3.039803e-03 2.706641e-03 #> [36,] -7.285002e-03 -4.562170e-03 -4.197418e-03 -2.261119e-03 -1.999595e-03 #> [37,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [38,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [39,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [40,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [41,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [42,] -5.502571e-04 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [43,] -3.965710e-04 -9.815031e-06 0.000000e+00 0.000000e+00 0.000000e+00 #> [44,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [45,] -2.574536e-02 -1.938750e-02 -1.910843e-02 -1.338297e-02 -1.309661e-02 #> [46,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [47,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [48,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [49,] 4.092246e-03 3.530483e-03 2.901818e-03 2.369860e-03 1.855115e-03 #> [50,] 5.332522e-04 2.987284e-04 1.565357e-04 3.030108e-05 0.000000e+00 #> [,11] [,12] [,13] [,14] [,15] #> [1,] 24.6180977987 2.442130e+01 2.449674e+01 2.426141e+01 2.445595e+01 #> [2,] 24.7966492279 2.459705e+01 2.461411e+01 2.437593e+01 2.445944e+01 #> [3,] 25.2591326016 2.505627e+01 2.504294e+01 2.480148e+01 2.479992e+01 #> [4,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [5,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [6,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [7,] 0.0003205604 4.096549e-05 0.000000e+00 0.000000e+00 0.000000e+00 #> [8,] 0.0008775536 6.267965e-04 4.121148e-04 1.570506e-04 1.774034e-06 #> [9,] -0.0030374308 -2.564970e-03 -1.454320e-03 -9.811526e-04 -3.674243e-04 #> [10,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [11,] -0.0021478781 -1.980873e-03 0.000000e+00 0.000000e+00 0.000000e+00 #> [12,] -0.0048873512 -4.569951e-03 -3.060306e-03 -2.680038e-03 -1.616772e-03 #> [13,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [14,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [15,] 0.0000000000 -1.701470e-05 0.000000e+00 0.000000e+00 0.000000e+00 #> [16,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [17,] -0.0168880631 -1.591793e-02 -1.320588e-02 -1.214548e-02 -1.004828e-02 #> [18,] 0.0024275110 2.067209e-03 1.726853e-03 1.327433e-03 9.194906e-04 #> [19,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [20,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [21,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [22,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [23,] 0.0050678541 4.455900e-03 3.663760e-03 3.011076e-03 2.381447e-03 #> [24,] 0.0025778972 2.486446e-03 2.248995e-03 2.159392e-03 1.809826e-03 #> [25,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [26,] -0.0079282228 -7.685163e-03 -5.220812e-03 -5.040796e-03 -1.877790e-03 #> [27,] 0.0015957438 9.359599e-04 0.000000e+00 0.000000e+00 0.000000e+00 #> [28,] 0.0008400855 7.747378e-04 1.252500e-04 9.712337e-05 0.000000e+00 #> [29,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [30,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [31,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [32,] -0.0003116028 -2.486028e-04 -4.968956e-05 -3.409812e-05 0.000000e+00 #> [33,] 0.0019272879 1.529712e-03 6.940979e-04 2.908581e-04 0.000000e+00 #> [34,] -0.0035293779 -3.055783e-03 -1.879879e-03 -1.507109e-03 -9.374792e-04 #> [35,] 0.0009936236 5.889584e-04 0.000000e+00 0.000000e+00 0.000000e+00 #> [36,] -0.0006252018 -5.289223e-04 -1.029055e-04 -7.136278e-05 0.000000e+00 #> [37,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [38,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [39,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [40,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [41,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [42,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [43,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [44,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [45,] -0.0077824164 -7.568238e-03 -4.262201e-03 -4.083321e-03 -1.671071e-03 #> [46,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [47,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [48,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [49,] 0.0016005758 1.091508e-03 6.867190e-04 1.576776e-04 0.000000e+00 #> [50,] 0.0000000000 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 #> [,16] [,17] [,18] [,19] [,20] #> [1,] 24.1772089962 24.3506318416 2.402841e+01 2.419878e+01 23.8350069046 #> [2,] 24.1833011480 24.2763990706 2.395464e+01 2.408425e+01 23.7200597054 #> [3,] 24.5190633405 24.5720944957 2.424693e+01 2.434030e+01 23.9736538157 #> [4,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [5,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [6,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [7,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [8,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [9,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [10,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [11,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [12,] -0.0011623791 -0.0003250299 0.000000e+00 0.000000e+00 0.0000000000 #> [13,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [14,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [15,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [16,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [17,] -0.0088888859 -0.0073700732 -6.054602e-03 -4.755805e-03 -0.0033698519 #> [18,] 0.0005591474 0.0003980794 5.433607e-05 0.000000e+00 0.0000000000 #> [19,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [20,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [21,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [22,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [23,] 0.0017436548 0.0014378632 8.102457e-04 6.500596e-04 0.0000000000 #> [24,] 0.0017289265 0.0011705229 1.085210e-03 5.218119e-04 0.0004667938 #> [25,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [26,] -0.0017947398 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [27,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [28,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [29,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [30,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [31,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [32,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [33,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [34,] -0.0006297226 -0.0003131455 -1.184155e-04 -2.809756e-05 0.0000000000 #> [35,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [36,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [37,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [38,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [39,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [40,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [41,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [42,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [43,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [44,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [45,] -0.0015842673 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [46,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [47,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [48,] 0.0000000000 0.0000000000 0.000000e+00 0.000000e+00 0.0000000000 #> [49,] 0.0000000000 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0.00000 0.00000 0.00000 0.00000 0.00000 #> [30,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [31,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [32,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [33,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [34,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [35,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [36,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [37,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [38,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [39,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [40,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [41,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [42,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [43,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [44,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [45,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [46,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [47,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [48,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [49,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [50,] 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 #> [,59] [,60] #> [1,] 21.25663 20.15736 #> [2,] 21.12898 20.03584 #> [3,] 21.48855 20.37935 #> [4,] 0.00000 0.00000 #> [5,] 0.00000 0.00000 #> [6,] 0.00000 0.00000 #> [7,] 0.00000 0.00000 #> [8,] 0.00000 0.00000 #> [9,] 0.00000 0.00000 #> [10,] 0.00000 0.00000 #> [11,] 0.00000 0.00000 #> [12,] 0.00000 0.00000 #> [13,] 0.00000 0.00000 #> [14,] 0.00000 0.00000 #> [15,] 0.00000 0.00000 #> [16,] 0.00000 0.00000 #> [17,] 0.00000 0.00000 #> [18,] 0.00000 0.00000 #> [19,] 0.00000 0.00000 #> [20,] 0.00000 0.00000 #> [21,] 0.00000 0.00000 #> [22,] 0.00000 0.00000 #> [23,] 0.00000 0.00000 #> [24,] 0.00000 0.00000 #> [25,] 0.00000 0.00000 #> [26,] 0.00000 0.00000 #> [27,] 0.00000 0.00000 #> [28,] 0.00000 0.00000 #> [29,] 0.00000 0.00000 #> [30,] 0.00000 0.00000 #> [31,] 0.00000 0.00000 #> [32,] 0.00000 0.00000 #> [33,] 0.00000 0.00000 #> [34,] 0.00000 0.00000 #> [35,] 0.00000 0.00000 #> [36,] 0.00000 0.00000 #> [37,] 0.00000 0.00000 #> [38,] 0.00000 0.00000 #> [39,] 0.00000 0.00000 #> [40,] 0.00000 0.00000 #> [41,] 0.00000 0.00000 #> [42,] 0.00000 0.00000 #> [43,] 0.00000 0.00000 #> [44,] 0.00000 0.00000 #> [45,] 0.00000 0.00000 #> [46,] 0.00000 0.00000 #> [47,] 0.00000 0.00000 #> [48,] 0.00000 0.00000 #> [49,] 0.00000 0.00000 #> [50,] 0.00000 0.00000 #> #> $alpha #> [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [39] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> #> $tau #> [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [39] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> #> $lambda1 #> [1] 0.009950331 0.009950331 0.019802627 0.019802627 0.029558802 0.029558802 #> [7] 0.039220713 0.039220713 0.048790164 0.048790164 0.058268908 0.058268908 #> [13] 0.067658648 0.067658648 0.076961041 0.076961041 0.086177696 0.086177696 #> [19] 0.095310180 0.095310180 0.104360015 0.104360015 0.113328685 0.113328685 #> [25] 0.122217633 0.122217633 0.131028262 0.131028262 0.139761942 0.139761942 #> [31] 0.148420005 0.148420005 0.157003749 0.157003749 0.165514438 0.165514438 #> [37] 0.173953307 0.173953307 0.182321557 0.182321557 0.190620360 0.190620360 #> [43] 0.198850859 0.198850859 0.207014169 0.207014169 0.215111380 0.215111380 #> [49] 0.223143551 0.223143551 0.231111721 0.231111721 0.239016900 0.239016900 #> [55] 0.246860078 0.246860078 0.254642218 0.254642218 0.262364264 0.262364264 #> #> $lambda2 #> [1] 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 #> [20] 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 #> [39] 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 0.5 0.3 #> [58] 0.5 0.3 0.5 #> #> $nump #> [1] 93 95 86 85 80 80 75 74 70 68 61 62 55 55 49 46 41 39 36 33 31 31 29 28 26 #> [26] 24 22 21 19 19 18 18 17 16 16 16 15 14 15 14 14 13 11 11 10 9 9 9 9 8 #> [51] 9 8 8 8 7 7 7 7 7 7 #> #> $Omega #> NULL #>