Coerce an Object of Class simstatespace to a Matrix
Usage
# S3 method for class 'simstatespace'
as.matrix(x, eta = FALSE, long = TRUE, ...)Examples
# prepare parameters
set.seed(42)
## number of individuals
n <- 5
## time points
time <- 50
## dynamic structure
p <- 3
mu0 <- rep(x = 0, times = p)
sigma0 <- diag(p)
sigma0_l <- t(chol(sigma0))
alpha <- rep(x = 0, times = p)
beta <- 0.50 * diag(p)
psi <- diag(p)
psi_l <- t(chol(psi))
## measurement model
k <- 3
nu <- rep(x = 0, times = k)
lambda <- diag(k)
theta <- 0.50 * diag(k)
theta_l <- t(chol(theta))
## covariates
j <- 2
x <- lapply(
X = seq_len(n),
FUN = function(i) {
matrix(
data = stats::rnorm(n = time * j),
nrow = j,
ncol = time
)
}
)
gamma <- diag(x = 0.10, nrow = p, ncol = j)
kappa <- diag(x = 0.10, nrow = k, ncol = j)
# Type 0
ssm <- SimSSMFixed(
n = n,
time = time,
mu0 = mu0,
sigma0_l = sigma0_l,
alpha = alpha,
beta = beta,
psi_l = psi_l,
nu = nu,
lambda = lambda,
theta_l = theta_l,
type = 0
)
head(as.matrix(ssm))
#> id time y1 y2 y3
#> [1,] 1 0 1.6162534 1.38408950 -0.4111695
#> [2,] 1 1 -1.5232952 1.92627469 -0.7992414
#> [3,] 1 2 -0.3544375 -0.02220621 -1.3175714
#> [4,] 1 3 -1.9809839 0.16221765 0.2537055
#> [5,] 1 4 -2.2357532 2.58289080 0.9846965
#> [6,] 1 5 -0.3865249 1.52753010 -0.9550317
head(as.matrix(ssm, long = FALSE))
#> id y1_0 y2_0 y3_0 y1_1 y2_1 y3_1
#> [1,] 1 1.61625337 1.3840895 -0.4111695 -1.5232952 1.9262747 -0.7992414
#> [2,] 2 -0.04475887 -2.0473263 -1.0995401 0.1899425 -0.8022084 1.0326053
#> [3,] 3 -0.35175450 -0.8620198 -0.4862692 -1.6063570 1.1059695 0.7106665
#> [4,] 4 -0.04919594 3.4244821 -0.2611621 0.9872575 1.7031256 2.2455017
#> [5,] 5 -2.32538496 0.9005817 0.3628444 -2.4199019 -0.7584027 1.0054983
#> y1_2 y2_2 y3_2 y1_3 y2_3 y3_3
#> [1,] -0.3544375 -0.02220621 -1.31757139 -1.9809839 0.1622177 0.2537055
#> [2,] 0.2011749 2.65001795 0.07700843 -0.5935679 1.2088950 -0.6923134
#> [3,] -1.3413361 1.61786709 0.35637548 0.2187572 0.3953878 1.9271685
#> [4,] -0.5799665 1.32218398 1.34751556 -0.8219741 -2.3408688 -0.8141161
#> [5,] -0.9017397 3.27872010 0.32578948 1.4083978 2.6259266 -1.2293404
#> y1_4 y2_4 y3_4 y1_5 y2_5 y3_5
#> [1,] -2.23575323 2.5828908 0.9846965 -0.38652493 1.5275301 -0.9550317
#> [2,] -1.60687060 0.5230821 -0.1737218 -0.22715129 1.9330535 1.3164819
#> [3,] -0.04691762 0.6900648 -2.2786571 -2.39040982 0.8390154 -0.7203359
#> [4,] -0.86146604 1.9597340 0.8576239 -0.41418366 -0.1887423 1.1741567
#> [5,] 1.15099319 0.4568205 -1.0356634 0.07745305 2.5743280 -0.3840216
#> y1_6 y2_6 y3_6 y1_7 y2_7 y3_7
#> [1,] -0.47791533 -0.05186306 -1.5771627 -1.9745206 1.9076700 -0.3836298
#> [2,] -2.34672407 2.97237423 2.6146254 -1.6010079 0.1317900 1.6232148
#> [3,] 0.02758404 1.45522180 -1.7086169 3.5099721 1.2209718 1.3569414
#> [4,] 0.09920765 -1.00373952 1.3464648 -0.8458918 -2.9079858 0.1188553
#> [5,] 0.08823787 0.85463074 -0.1851625 -0.2603230 0.1072301 0.1982461
#> y1_8 y2_8 y3_8 y1_9 y2_9 y3_9
#> [1,] -1.84909940 0.3162936 1.143882 0.6510890 -0.1876209 -0.5045624
#> [2,] -0.54091538 -1.6836697 4.109281 -0.7970075 -0.2145923 -0.9984378
#> [3,] 1.50020639 0.7332345 3.294612 -0.1923136 -0.3978935 0.5829798
#> [4,] 0.07987889 -1.7158004 1.050014 -0.9939521 -2.6680120 0.2642090
#> [5,] 1.01172797 -0.1018807 -2.841976 -2.0849596 -0.4872781 0.2992914
#> y1_10 y2_10 y3_10 y1_11 y2_11 y3_11
#> [1,] 2.3831996 -1.3758294 0.4845554 1.64979582 -1.11965602 0.8464700
#> [2,] 1.2757208 1.9613728 0.3016141 0.05475791 1.07159722 -0.9080502
#> [3,] -0.2658483 0.4920791 0.5569878 0.02408590 -2.04233004 0.4163683
#> [4,] 0.4325857 -0.7117496 -0.2928771 -0.75795600 -0.03295955 -1.8552625
#> [5,] -1.2304391 -1.3019437 1.3926087 -2.27126241 -1.03470055 0.5592967
#> y1_12 y2_12 y3_12 y1_13 y2_13 y3_13
#> [1,] 0.2986962 3.4085424 -0.5178566 -2.3503508 1.02991334 -0.9227273
#> [2,] 0.4473381 -0.6233495 -0.4735484 -0.2239352 -0.09317512 0.5644049
#> [3,] 0.6014075 0.7830307 0.6959900 -1.0477854 1.85814585 -1.1128188
#> [4,] -3.1205632 0.4237490 0.2180062 -0.3577689 0.54474564 -0.5772663
#> [5,] -1.0212046 -0.4610074 -0.8906314 -0.5504551 -0.51539350 -2.5795614
#> y1_14 y2_14 y3_14 y1_15 y2_15 y3_15
#> [1,] -0.70897783 1.2279481 -2.88552243 -1.10910481 -0.49726091 -2.87605245
#> [2,] -1.05684353 -2.2102637 0.66448570 0.58268562 0.28523090 0.04264334
#> [3,] -1.68248836 2.8175307 -0.01904589 -0.03977694 -0.08811798 0.63116514
#> [4,] -0.06223421 -1.1343966 -1.03940884 -1.86969158 -3.15045449 1.22888055
#> [5,] -0.84613947 0.4678982 -1.18607203 -0.84415745 0.67704173 0.68194793
#> y1_16 y2_16 y3_16 y1_17 y2_17 y3_17
#> [1,] -1.2853619 -0.2842451 -1.0167008 -0.08604294 1.7148485 -2.69775499
#> [2,] 0.9131296 -0.9245131 0.1107793 -0.30960035 -1.9897506 -0.29548962
#> [3,] -2.1860271 -1.1531789 -0.1925946 -1.08838493 -0.4985157 1.14312425
#> [4,] -0.1971206 -1.9700271 1.4993960 -0.66114376 0.5260738 -0.63517024
#> [5,] 0.6927647 1.1351382 1.1490660 -0.72492632 3.9159707 0.07542342
#> y1_18 y2_18 y3_18 y1_19 y2_19 y3_19
#> [1,] 0.5812529 -0.2369862 -2.49272996 -0.43617985 -0.5114359 0.5075110
#> [2,] -1.0007548 -1.9941789 0.21216641 -0.29439721 -0.5181764 2.4067212
#> [3,] -1.2158110 2.5857987 -1.74920314 -0.03522969 0.5649820 1.9746364
#> [4,] 0.5566757 1.2124295 -0.41332821 0.05630755 2.1318854 -0.5604419
#> [5,] 0.6944526 -0.2262339 -0.04938728 -1.16588456 0.3797271 1.4092183
#> y1_20 y2_20 y3_20 y1_21 y2_21 y3_21
#> [1,] 1.4113725 -0.2775884 -0.5805856 0.5153738 -0.5774842 1.3461776
#> [2,] -0.2731870 -0.2414759 1.7093432 -0.1880165 0.2443441 3.2912305
#> [3,] -0.3068359 2.1865472 1.2485908 0.7495193 1.8971623 -0.2436155
#> [4,] 0.8822642 1.7698072 2.1359884 0.8281188 0.3965071 1.4140650
#> [5,] 1.7910299 0.5259533 -0.2166186 0.7415509 1.7855709 0.3856954
#> y1_22 y2_22 y3_22 y1_23 y2_23 y3_23
#> [1,] 3.596343553 -1.015069 0.0226050 2.5672517 1.35666661 -0.6335853
#> [2,] -0.607617672 3.498036 0.4400620 0.1506179 -0.14861547 -1.6585065
#> [3,] 0.002613899 3.302662 -0.3179609 2.6725823 2.90101024 1.6888110
#> [4,] -1.121966830 1.835665 -0.9326660 -0.5671104 0.09194007 2.9121667
#> [5,] -2.360038750 1.374296 1.1644061 -0.1364091 1.43208504 1.3060583
#> y1_24 y2_24 y3_24 y1_25 y2_25 y3_25
#> [1,] 0.9607637 0.6095592 1.4023794 1.9757187 -0.7188623 -1.08740006
#> [2,] -0.6433440 -1.1929799 -0.2311295 -2.0777220 -1.0833064 -0.53497728
#> [3,] 1.4395645 1.5184101 -1.1831673 0.2977171 1.9956090 -1.57492885
#> [4,] -1.2977790 -0.7019866 0.5626923 0.8652171 -1.4067314 1.32993361
#> [5,] -1.2954587 -3.3133986 0.3565990 0.9956078 -1.7670528 -0.08862718
#> y1_26 y2_26 y3_26 y1_27 y2_27 y3_27
#> [1,] 0.5135102 1.1672849 -2.7907014 -2.147634 -1.6352704 0.01636576
#> [2,] 0.2295865 -1.5825029 2.7170672 1.482373 -0.4078197 -0.71209126
#> [3,] 1.7142149 0.5874467 -1.5651869 1.362578 2.2117553 -0.82172855
#> [4,] 0.3349119 -2.8006450 0.8948044 -1.425575 -0.1066037 -1.18425988
#> [5,] -2.4743535 -0.7087822 -0.1489025 -1.033740 -0.2955502 -0.73433686
#> y1_28 y2_28 y3_28 y1_29 y2_29 y3_29
#> [1,] 0.2899833 0.0791213 -0.4072794 1.45918868 -2.1495539 1.3943432
#> [2,] 0.5164032 0.7878999 1.2607620 -0.02535035 0.4410402 1.9206276
#> [3,] -0.6972844 -1.1158735 -1.3716504 1.55399030 -1.7740351 0.3396966
#> [4,] -0.2862932 -2.2443239 -2.5856469 2.82294540 0.7514304 -0.2535041
#> [5,] 0.3713890 1.1065388 -0.5803437 0.18063800 -0.2898897 -2.7944895
#> y1_30 y2_30 y3_30 y1_31 y2_31 y3_31
#> [1,] 0.8209480 -1.4734985 -0.4914223 -1.24810796 -0.53574403 1.8486074
#> [2,] 2.1996889 3.4661757 1.1667738 0.80867357 1.30923202 0.2815890
#> [3,] 0.9610677 0.8411052 0.2434068 1.07834520 0.12788082 0.2485631
#> [4,] 1.0541691 2.9329244 -0.6659829 -0.33468009 -0.07606522 -1.1034329
#> [5,] -0.2233469 -0.4254074 -1.7772095 0.09860742 0.21793047 0.5524406
#> y1_32 y2_32 y3_32 y1_33 y2_33 y3_33
#> [1,] 0.8113517 -0.46419208 2.2016191 3.415350 3.79006196 1.5123009
#> [2,] 1.5854441 2.42009251 0.8443721 2.234726 2.23747372 0.7440492
#> [3,] -1.9480654 -1.12356865 -0.9089033 -2.148746 0.01415462 1.3291999
#> [4,] 1.3299005 -0.05077669 1.3509872 1.177275 -2.20632144 1.3496753
#> [5,] 2.1090294 -1.58307664 1.6274305 1.307622 0.41535689 1.6443757
#> y1_34 y2_34 y3_34 y1_35 y2_35 y3_35
#> [1,] -0.3304899 1.7468472 2.0719680 -0.74759469 1.4146564 1.0198628
#> [2,] 2.8031746 1.6726827 1.3227618 1.18430270 2.2366559 1.1742738
#> [3,] -1.5777140 1.2882232 -0.2606539 0.07153844 2.8709768 -0.5532294
#> [4,] -0.5338542 0.1748380 -1.1911688 -0.35455243 0.6370667 0.3190500
#> [5,] 0.2683620 -0.4900236 0.7308648 0.06128940 0.1717690 0.8057427
#> y1_36 y2_36 y3_36 y1_37 y2_37 y3_37
#> [1,] -0.1944395 0.8854330 -0.4322774 0.07233919 -1.388633 0.05290312
#> [2,] -0.4550634 -0.8409145 1.2436593 -1.25794738 -1.652569 0.90287860
#> [3,] 1.8323151 -0.4501924 0.1842798 0.23564658 0.814098 -0.49638849
#> [4,] 1.2553414 0.2026020 -0.3143567 1.69260785 -1.309939 -0.33704338
#> [5,] -0.2327205 1.3692313 0.0351231 0.74480078 -1.156616 -0.63663308
#> y1_38 y2_38 y3_38 y1_39 y2_39 y3_39
#> [1,] 0.443147072 -1.7593746 -1.5113774 0.5297982 -1.917194 -0.87312929
#> [2,] -0.781440030 -0.9407196 1.9675205 0.7363899 -2.988072 0.71798859
#> [3,] 0.695325057 -0.2591509 -0.3594548 0.6645011 0.551236 2.68977216
#> [4,] -1.161582117 -1.4425935 -2.0659299 -1.7393826 -0.550202 -0.03785555
#> [5,] 0.005303157 0.7985164 0.1086735 -0.8871705 1.698271 0.40879492
#> y1_40 y2_40 y3_40 y1_41 y2_41 y3_41
#> [1,] -0.1055503 -0.6508614 -1.7886765 -1.7211278 -1.7478217 -1.3823884
#> [2,] 0.3463280 -1.1180259 -1.6974972 1.1024505 -0.6403250 0.1884423
#> [3,] -1.3303646 -0.9439727 0.8470835 0.9670889 -1.0168700 1.4387706
#> [4,] 1.9451513 -1.1986014 -0.0677613 -0.8421198 -0.7832004 -0.9559934
#> [5,] 0.6287751 0.9767175 0.9856875 0.2784196 -0.3577045 -3.0269869
#> y1_42 y2_42 y3_42 y1_43 y2_43 y3_43
#> [1,] -3.1341750 -2.4218606 -0.34383038 -2.1621986 -0.5874906 -0.9592735
#> [2,] 1.7235042 -2.1913185 -0.99739117 -0.2502237 -0.1004548 -0.2129836
#> [3,] 0.2945571 -3.8564551 2.45672208 -0.1084257 -1.6772485 0.7707791
#> [4,] -0.4534582 1.0494567 0.05230591 0.7511409 1.2285816 1.8865604
#> [5,] -1.9687273 -0.5729698 -0.87992403 -1.5863713 -0.4946458 0.2917907
#> y1_44 y2_44 y3_44 y1_45 y2_45 y3_45
#> [1,] 0.07684553 0.6498703 -2.0858223 0.1913725 -0.3984163 0.7564219
#> [2,] 0.38799381 0.3487298 1.1768471 -0.5165214 -0.6068654 0.1326481
#> [3,] 0.33283223 -0.7693597 -1.0345149 -0.6230276 -1.5716891 0.7956358
#> [4,] -0.16173517 1.8282077 -0.4973262 -1.6866041 2.9826468 -1.5307716
#> [5,] -0.27219374 0.6703838 -1.3712142 0.4966287 -0.3086405 -1.2083143
#> y1_46 y2_46 y3_46 y1_47 y2_47 y3_47
#> [1,] -0.1914062 -1.5603954 0.8761995 -0.26632228 -1.4031044 1.3346467
#> [2,] -1.1978164 0.2747516 -0.1832172 0.08399896 1.3640486 -0.1636911
#> [3,] -2.8786132 -0.4584111 0.9819970 -1.15587658 0.2381519 0.4382173
#> [4,] -0.8588464 2.3200099 -0.3044024 2.72098966 1.1599923 0.6048861
#> [5,] -0.1148448 0.8002702 -1.0484130 -0.50487573 1.0964549 -4.1001085
#> y1_48 y2_48 y3_48 y1_49 y2_49 y3_49
#> [1,] -0.2329856 1.0748771 0.7753996 0.05097052 0.8516830 -0.8218398
#> [2,] -1.2393437 0.1201421 -0.6573276 -1.72817957 -1.5878168 1.8028099
#> [3,] -2.4674501 -0.8868146 -0.2002175 -2.83662766 0.6451701 0.2810525
#> [4,] 1.2614324 0.2585708 2.4524881 -0.50741093 1.3275485 0.6990856
#> [5,] -0.5997751 1.9156734 -1.0268122 -2.21734387 0.6382063 -1.3630000
# Type 1
ssm <- SimSSMFixed(
n = n,
time = time,
mu0 = mu0,
sigma0_l = sigma0_l,
alpha = alpha,
beta = beta,
psi_l = psi_l,
nu = nu,
lambda = lambda,
theta_l = theta_l,
type = 1,
x = x,
gamma = gamma
)
head(as.matrix(ssm))
#> id time y1 y2 y3 x1 x2
#> [1,] 1 0 -1.3212950 1.3069112 0.2137389 1.3709584 -0.56469817
#> [2,] 1 1 -0.2229673 -1.1548953 -1.1297343 0.3631284 0.63286260
#> [3,] 1 2 -1.1754638 0.8212813 -1.4218078 0.4042683 -0.10612452
#> [4,] 1 3 -0.4145136 1.8191834 0.8619176 1.5115220 -0.09465904
#> [5,] 1 4 -0.3116308 0.8777874 2.3952392 2.0184237 -0.06271410
#> [6,] 1 5 -0.0741827 0.1952049 2.2593628 1.3048697 2.28664539
head(as.matrix(ssm, long = FALSE))
#> id y1_0 y2_0 y3_0 x1_0 x2_0 y1_1
#> [1,] 1 -1.32129502 1.30691121 0.2137389 1.370958447 -0.5646982 -0.22296728
#> [2,] 2 0.06803976 -0.04990546 0.5051611 1.200965376 1.0447511 -0.27313571
#> [3,] 3 -1.29748492 -2.91033474 -2.1032602 -2.000929238 0.3337772 0.05172567
#> [4,] 4 -0.25584749 -0.25219544 1.3222454 -0.004620768 0.7602422 -0.96322916
#> [5,] 5 1.36620158 1.35333546 -0.6372020 1.334912585 -0.8692718 0.78256512
#> y2_1 y3_1 x1_1 x2_1 y1_2 y2_2
#> [1,] -1.15489529 -1.12973434 0.36312841 0.63286260 -1.17546383 0.82128133
#> [2,] 0.23540119 -0.05306924 -1.00320865 1.84848190 -1.09640628 0.66881405
#> [3,] 0.19611625 -0.90129537 1.17132513 2.05953924 1.12632688 0.08719612
#> [4,] -0.02352759 -0.19357488 0.03899091 0.73507214 0.07984138 0.52840906
#> [5,] -0.94363718 0.41208380 0.05548695 0.04906691 -1.21504746 0.43538045
#> y3_2 x1_2 x2_2 y1_3 y2_3 y3_3
#> [1,] -1.4218078 0.4042683 -0.10612452 -0.4145136 1.8191834 0.8619176
#> [2,] -1.3358199 -0.6667734 0.10551381 -0.7999442 0.7045620 -0.4957978
#> [3,] -1.1610320 -1.3768616 -1.15085557 2.2700874 2.7845463 -0.5357065
#> [4,] 1.8357221 -0.1464726 -0.05788734 0.4556301 1.8346636 0.7831771
#> [5,] -0.8136944 -0.5783557 -0.99873866 -0.7081730 0.8893509 3.6320074
#> x1_3 x2_3 y1_4 y2_4 y3_4 x1_4
#> [1,] 1.51152200 -0.09465904 -0.3116308457 0.8777874 2.3952392 2.0184237
#> [2,] -0.42225588 -0.12235017 0.0003275326 -1.1810319 -0.0725149 0.1881930
#> [3,] -0.70582139 -1.05405578 0.0523547052 1.5919880 0.7848450 -0.6457437
#> [4,] 0.48236947 0.99294364 1.0515491779 2.4426596 0.7943206 -1.2463955
#> [5,] -0.00243278 0.65551188 -2.6143792827 1.2718223 2.8713631 1.4768423
#> x2_4 y1_5 y2_5 y3_5 x1_5 x2_5
#> [1,] -0.06271410 -0.0741827 0.1952049 2.2593628 1.30486965 2.2866454
#> [2,] 0.11916096 -1.3228055 0.3247527 1.9619418 -0.02509255 0.1080727
#> [3,] -0.18537797 -0.4094134 0.6089027 0.2004189 -1.20122205 2.0369722
#> [4,] -0.03348752 2.2540317 -0.3995432 1.6048742 -0.07096218 -0.7589207
#> [5,] -1.90915279 -1.5389980 1.0286935 1.2371762 -0.70243947 -0.3114302
#> y1_6 y2_6 y3_6 x1_6 x2_6 y1_7
#> [1,] -0.4368443 2.0929767 -0.1627264 -1.3888607 -0.2787888 -0.9313803
#> [2,] -0.4160145 0.0470476 1.1472796 -0.4854352 -0.5042171 -1.4850458
#> [3,] -3.1257716 0.9779773 -0.1317061 0.1077747 -0.0841081 0.6404262
#> [4,] 1.3679994 -2.4941578 -0.7912684 -1.0343594 -0.6307320 -0.6828575
#> [5,] 0.5103027 0.0342447 2.1412550 -1.6631570 -0.7505334 -1.5170361
#> y2_7 y3_7 x1_7 x2_7 y1_8 y2_8
#> [1,] 2.423123 1.8765506 -0.1333213 0.63595040 1.3555973 0.2776942
#> [2,] -1.194179 0.1440756 -1.6610991 -0.38233373 0.1689121 -0.8308893
#> [3,] 2.360186 0.8461550 0.4956196 0.03741519 -0.6297808 2.3492915
#> [4,] -1.932106 -1.2325272 0.5868077 -0.41632266 1.0278824 -3.0135325
#> [5,] -1.277911 0.2377416 -0.7773518 -0.72256970 0.4862914 -1.8894371
#> y3_8 x1_8 x2_8 y1_9 y2_9 y3_9
#> [1,] 0.3336033 -0.2842529 -2.6564554 0.44476374 2.0663970 -0.3115522
#> [2,] 2.0655163 -0.5126503 2.7018910 -0.96189170 -0.4509793 1.9482290
#> [3,] 0.8100695 -0.1320880 1.4767874 0.80833110 0.2288769 -0.3313643
#> [4,] -0.0690037 -0.7848878 0.1634163 -0.03444984 -0.7515914 0.7226250
#> [5,] -0.2718721 -2.1888346 0.2134186 -1.76555996 -2.2453781 -0.7889341
#> x1_9 x2_9 y1_10 y2_10 y3_10 x1_10 x2_10
#> [1,] -2.4404669 1.3201133 1.0940299 1.551743 -3.457191 -0.3066386 -1.7813084
#> [2,] -1.3621162 0.1372562 -1.8715290 1.768182 1.680022 -1.4936251 -1.4704357
#> [3,] -0.2170302 -1.2836022 -1.3556844 2.128277 3.247484 0.3856679 -0.3515129
#> [4,] -1.2367142 1.0458738 0.6706872 -1.726603 2.009070 -0.4845954 0.1891288
#> [5,] -0.6319229 1.5204912 -1.7029262 -1.546746 -1.579077 0.7959559 -1.4535296
#> y1_11 y2_11 y3_11 x1_11 x2_11 y1_12
#> [1,] 1.6080070 1.341208 -0.7619126 -0.17191736 1.2146746992 1.9193308
#> [2,] 0.9153270 1.200346 1.3312963 0.12470239 -0.9966391349 1.6719831
#> [3,] -0.7769676 1.198546 3.6750765 -0.52179609 -1.0681312007 0.1247800
#> [4,] 0.1231655 -1.289442 2.6975231 0.05100633 -0.0002406689 1.9714391
#> [5,] -1.9696088 -4.089331 -1.2921864 0.09839542 -0.5937709842 0.9537555
#> y2_12 y3_12 x1_12 x2_12 y1_13 y2_13
#> [1,] 2.0938548 2.17045341 1.895193461 -0.43046913 1.982597 1.0425821
#> [2,] 1.5324441 0.69583843 -0.001822614 -0.42825888 -1.064327 2.4528216
#> [3,] 1.7248144 1.68928420 0.428365903 -0.17401823 -3.914508 -0.3014104
#> [4,] -2.2886164 -0.02502037 1.809382042 -0.82532796 1.957702 -0.7604525
#> [5,] 0.1167135 -0.55523419 0.888281169 0.05307042 -1.773687 -1.1221734
#> y3_13 x1_13 x2_13 y1_14 y2_14 y3_14
#> [1,] 0.03182284 -0.2572694 -1.76316309 1.1224173 0.9823196 0.6673541
#> [2,] -0.86275293 -0.6136716 -2.02467785 0.3482144 1.9676994 -0.4420744
#> [3,] 0.56301961 0.5156677 -0.23436528 -2.6245766 -0.8698393 -1.7154935
#> [4,] 0.34113488 1.1454705 0.03157319 -0.3332116 -0.9814938 1.7911445
#> [5,] -1.32431578 -0.5570236 0.43839704 -0.4898259 -1.7693607 0.1158383
#> x1_14 x2_14 y1_15 y2_15 y3_15 x1_15
#> [1,] 0.4600974 -0.63999488 -0.6952325 1.0229887 1.66293082 0.4554501
#> [2,] -1.2247480 0.17951644 0.1102308 1.6923343 -0.07650175 0.5676206
#> [3,] -0.6585034 1.25023660 -2.2388038 -2.0003179 -0.47657878 -0.2717637
#> [4,] -0.8352058 -0.06876365 1.1053596 -0.2092331 0.93481928 0.7467717
#> [5,] 0.1526082 -0.16461758 0.6003556 -1.4797100 -2.04300966 2.0198906
#> x2_15 y1_16 y2_16 y3_16 x1_16 x2_16
#> [1,] 0.7048373 -0.07084522 -0.5595938 0.2004234 1.035104e+00 -0.6089264
#> [2,] -0.4928774 0.59248600 -0.4661674 -0.1810490 6.288407e-05 1.1228896
#> [3,] 0.9479520 -2.85135034 -0.4035567 -1.0487320 -1.201582e+00 -0.4661161
#> [4,] -0.4255187 1.99492931 -2.6126058 1.1768557 -7.720822e-01 0.1527641
#> [5,] -0.5293859 1.16386902 -1.6207066 0.0318715 -4.707870e-01 -1.5459369
#> y1_17 y2_17 y3_17 x1_17 x2_17 y1_18
#> [1,] -1.43406576 -1.52341239 0.3344811 0.50495512 -1.71700868 0.2647052
#> [2,] 0.32089263 1.44632469 -0.8328417 1.43985574 -1.09711377 -0.5119163
#> [3,] 2.24942801 0.09748498 -1.2315448 -0.26935140 -0.39096541 2.0495729
#> [4,] 1.84507091 -1.04563662 1.9960705 0.98859685 -0.07345833 1.3493736
#> [5,] 0.09640684 -0.78013019 -0.3272448 -0.04052672 0.89035631 1.1458171
#> y2_18 y3_18 x1_18 x2_18 y1_19 y2_19
#> [1,] 0.37468039 2.6737476 -0.7844590 -0.8509076 -0.76282546 0.06189121
#> [2,] -0.03934419 -0.8031779 -0.1173196 1.2014984 -1.24289238 -1.18786430
#> [3,] -0.94087452 -1.5905452 1.3487070 -0.0227647 -1.23929468 0.19919403
#> [4,] -0.03620265 1.3392054 -1.3870266 -1.3066759 0.01149444 -2.85293147
#> [5,] 0.14204054 -2.5427818 -2.0713879 -0.2500651 0.27888846 -2.47708708
#> y3_19 x1_19 x2_19 y1_20 y2_20 y3_20
#> [1,] 2.8808639 -2.4142076 0.03612261 -0.71114553 -2.5089723 -0.8309464
#> [2,] 2.1575269 -0.4697296 -0.05246948 0.02807218 1.2439153 1.4833495
#> [3,] -1.4852461 0.2442259 -0.94237171 -0.81764122 1.0367502 -0.8555348
#> [4,] 2.3386243 -0.7683953 -0.52710813 0.55518284 0.2245032 0.6364247
#> [5,] 0.5582733 -1.1816504 1.44193727 0.09094230 -1.1840430 0.4087034
#> x1_20 x2_20 y1_21 y2_21 y3_21 x1_21
#> [1,] 0.20599860 -0.3610573 -2.5260087 -1.3048137 -1.3981766 0.7581632
#> [2,] -0.08610730 -0.8876790 -0.3199901 2.2064632 0.6489734 -0.4446840
#> [3,] -0.72921728 0.9980689 0.0996544 -0.4360866 0.6828378 1.2584817
#> [4,] -0.02142707 0.6704981 1.2731180 0.4635977 -0.2848650 -0.4346170
#> [5,] 1.35789554 0.3345028 3.8716091 0.2527161 0.8965945 1.4293381
#> x2_21 y1_22 y2_22 y3_22 x1_22 x2_22
#> [1,] -0.72670483 0.3521247 -1.0971151 0.21790193 -1.3682810 0.4328180
#> [2,] -0.02944488 0.6911039 1.1117158 -0.72756334 -0.4138688 1.1133860
#> [3,] 1.24886369 -1.9390432 -1.1699622 1.36893560 -1.3806370 2.0499607
#> [4,] -1.11387978 -1.1151190 0.1135364 0.05691346 0.6071060 0.2754570
#> [5,] -0.86731785 2.0364593 -1.9058403 -0.03871032 0.9506517 -0.5850115
#> y1_23 y2_23 y3_23 x1_23 x2_23 y1_24
#> [1,] 1.3176657 -2.1642990 -0.6796242 -0.8113932 1.44410126 1.3391641
#> [2,] 1.4954691 0.7122494 0.3633060 -0.4809928 -0.43316903 1.0337595
#> [3,] -1.7492765 1.3050955 -0.3266634 1.0168728 -0.02671746 -0.6841845
#> [4,] -0.2646706 0.5000499 2.1818351 1.1573471 -1.68248086 -1.0163380
#> [5,] 1.2545266 0.3112625 -2.1339148 0.3209575 -0.29939602 0.2409194
#> y2_24 y3_24 x1_24 x2_24 y1_25 y2_25
#> [1,] -0.82130880 -0.0752571 -0.43144620 0.6556479 0.8216689 -1.8147205
#> [2,] -0.06397518 -0.5531983 0.69686258 -1.0563684 -0.7541386 -2.1541924
#> [3,] 3.16868302 1.5155881 0.70360778 -0.9713852 0.1454184 0.3460727
#> [4,] -0.42079016 3.0327701 0.08731909 1.3533619 -1.9542314 0.7789802
#> [5,] 0.18425062 -2.2777921 -0.27854308 0.5461152 -0.2883920 -1.8790973
#> y3_25 x1_25 x2_25 y1_26 y2_26 y3_26
#> [1,] 0.2288761 0.32192527 -0.78383894 1.479689 0.7835702 -0.4119303
#> [2,] 2.0231696 -0.04069848 -1.55154482 -1.204166 -0.4808715 -0.5025113
#> [3,] 0.2923802 -1.09615624 0.04905045 2.080418 -1.9194933 0.3897390
#> [4,] 1.6673886 0.72417380 -0.83255283 -1.172532 1.1331902 2.3754289
#> [5,] -1.3474831 -1.30382115 -0.25091447 1.368135 -2.2429527 -2.5437840
#> x1_26 x2_26 y1_27 y2_27 y3_27 x1_27
#> [1,] 1.5757275 0.6428993 1.91209020 1.5502746 -1.005937 0.08976065
#> [2,] 1.1671695 -0.2736457 -0.63264824 1.0368186 -1.620818 -0.46784532
#> [3,] -1.1984959 0.1900190 0.51148147 0.0728170 -3.060578 1.29770590
#> [4,] 0.7325285 -0.8719269 -0.37614524 2.4562279 3.266426 -0.45339751
#> [5,] 0.1710074 -0.4034675 0.09799243 -0.4597594 -2.391649 0.10465944
#> x2_27 y1_28 y2_28 y3_28 x1_28 x2_28
#> [1,] 0.2765507 2.2630026 0.2672299 -1.9253959 0.679288816 0.08983289
#> [2,] -1.2382523 0.1246215 -0.5721696 0.6460846 -0.007762034 -0.80028218
#> [3,] -1.0338737 2.4021004 -0.5177981 -0.3705207 -0.738440754 0.04656394
#> [4,] 1.1875343 -0.4664616 1.4204688 3.5127039 -0.290145312 0.82854614
#> [5,] -0.3188808 1.4656842 -0.6122942 -1.5410249 1.618343936 0.71418860
#> y1_29 y2_29 y3_29 x1_29 x2_29 y1_30
#> [1,] 0.5184740 1.3615360 1.4310673 -2.9930901 0.2848830 0.08042765
#> [2,] -0.6565600 -0.8537611 0.8903193 -0.5334923 1.2876752 -0.21823923
#> [3,] 0.5111742 -2.4207984 1.4869472 -1.0175961 -0.3832840 1.01685499
#> [4,] 0.0876693 -0.3946798 2.4726918 -0.2912277 -1.5763624 -1.11657467
#> [5,] 1.0471282 -0.7406853 -2.5462526 2.9658654 -0.7950776 -0.04829977
#> y2_30 y3_30 x1_30 x2_30 y1_31 y2_31
#> [1,] -0.53075827 -0.3826375 -0.3672346 0.1852306 -0.7575300 1.0660180
#> [2,] -2.74552124 1.6616192 -0.1755259 -1.0717824 -1.5893939 -0.9641858
#> [3,] -1.50281241 1.4140044 0.8727554 0.9695450 2.8954413 -0.8172052
#> [4,] 0.62752893 0.6372705 -0.8488157 -1.0885199 -0.5761493 0.6555097
#> [5,] -0.05633085 -2.6124751 0.8143659 2.0980308 2.2346414 -1.3267072
#> y3_31 x1_31 x2_31 y1_32 y2_32 y3_32
#> [1,] -1.1937923 0.5818237 1.3997368 -0.8657861 1.1594111 1.5843125
#> [2,] 1.4969122 0.1632069 -0.3627384 -0.3281431 -0.2782823 -2.7009377
#> [3,] 1.0713061 0.3838467 -1.8515557 1.9802173 -1.1335253 -1.4082145
#> [4,] -0.8429513 -0.4842906 -0.3363112 0.6702878 1.6342009 0.1738516
#> [5,] 0.2265222 0.3009801 -1.0830751 0.6742349 -1.6456944 0.7162619
#> x1_32 x2_32 y1_33 y2_33 y3_33 x1_33
#> [1,] -0.72729206 1.30254263 -1.7608815 0.7269482 1.89270783 0.3358481
#> [2,] 0.59001355 1.43242193 -0.2476019 1.0308517 -0.84104312 -0.9926925
#> [3,] -0.05399674 1.06477321 -2.0353089 1.5750707 -0.03280635 0.8131950
#> [4,] -0.15335789 -0.24324723 0.3690930 0.8654226 -0.33863586 1.8922020
#> [5,] -1.00632250 -0.03541456 -1.2679077 0.5067678 2.24073481 1.3091244
#> x2_33 y1_34 y2_34 y3_34 x1_34 x2_34
#> [1,] 1.0385061 -0.8768112 1.1036715 2.2148850 0.92072857 0.72087816
#> [2,] 0.4546503 1.8621741 -0.4604311 -0.1387278 0.08489806 0.89556558
#> [3,] -0.1908165 -0.4522141 0.2369424 -0.1114640 -2.69992981 0.06096664
#> [4,] -1.3859983 0.6567835 1.9270995 0.6349295 -0.41482430 0.34908153
#> [5,] 0.7504005 -2.1886602 -1.7674955 1.4045945 -2.13836833 -0.70035411
#> y1_35 y2_35 y3_35 x1_35 x2_35 y1_36
#> [1,] 0.3397298 0.8155806 -0.3256500 -1.043118939 -0.09018639 2.0467294
#> [2,] 0.7237191 0.2834713 0.5157692 -0.229778139 0.83661907 -1.6404856
#> [3,] -0.3752383 -0.7829329 -0.8206978 0.573751697 0.04580358 0.1458506
#> [4,] -0.2851125 0.6157689 -3.8247503 1.628442266 0.08852190 0.1730077
#> [5,] -1.8370658 1.0129193 -1.8720094 -0.009056475 -1.45813349 -1.8592593
#> y2_36 y3_36 x1_36 x2_36 y1_37 y2_37
#> [1,] 0.1813455 1.6271317 0.6235182 -0.9535234 1.7177961 1.93999530
#> [2,] 2.9320693 0.4389722 -1.7450559 1.6894589 1.1006471 0.91649600
#> [3,] 0.2831584 -0.0647262 0.1574125 0.4315654 2.8766446 0.02653138
#> [4,] 0.9797463 0.5413674 1.2391507 -1.6445555 -0.3845699 -0.40591425
#> [5,] -1.4851963 -2.2134587 0.6945296 -2.4613355 -1.1164536 -1.15210573
#> y3_37 x1_37 x2_37 y1_38 y2_38 y3_38 x1_38
#> [1,] 2.3291989 -0.5428288 0.5809965 0.5806455 0.5890687 0.9236375 0.7681787
#> [2,] -0.5028793 0.8647780 -0.1507760 -1.5437966 0.7768215 0.0760361 -1.4490071
#> [3,] 0.5382699 -0.3965497 1.3099782 0.3231083 1.0383649 0.2899639 0.4703934
#> [4,] -1.1825058 1.4463565 -0.6905602 -2.5216510 1.4791234 0.8107824 -0.2764311
#> [5,] -0.6631066 0.1432898 -0.3912221 0.6531909 0.1385496 0.4259709 -0.4911641
#> x2_38 y1_39 y2_39 y3_39 x1_39 x2_39
#> [1,] 0.4637676 2.0052886 -0.3835412 2.5304392 -0.8857763 -1.099780899
#> [2,] 0.6430087 0.1418797 0.7309179 -1.0435802 0.4831939 -0.006355626
#> [3,] -1.2426703 1.3222493 0.1552634 1.0564194 1.3815755 1.204458937
#> [4,] -1.1094188 -2.8024327 1.1789045 0.5664178 0.1338693 1.785339052
#> [5,] -0.2836475 -2.9328006 1.4429639 0.5536245 0.3147948 0.396326578
#> y1_40 y2_40 y3_40 x1_40 x2_40 y1_41
#> [1,] -0.2652305 1.50027725 0.9250186 1.5127070 0.2579214 0.1309740
#> [2,] 0.5980214 -0.76641709 0.2154274 0.1514559 -0.5841090 1.2234728
#> [3,] 2.1905223 0.05355728 -0.7026008 0.8240740 -1.6626294 -0.2257734
#> [4,] -0.3865157 0.97305800 1.2350377 2.4221634 -1.0768289 -0.2699938
#> [5,] 0.1574557 -0.98809480 0.8396418 -0.2256037 -1.9249504 -2.4896525
#> y2_41 y3_41 x1_41 x2_41 y1_42 y2_42
#> [1,] 0.8219069 -0.01472055 0.08844023 -0.1208965 -0.9430371 -0.96621247
#> [2,] 2.1725154 -1.85474634 0.36880673 0.2946543 0.8238318 0.65315701
#> [3,] -0.4322122 -0.30076709 -0.56930634 0.6355138 -0.5528709 0.40038204
#> [4,] 0.1163131 0.17479170 0.48594111 1.3885217 -0.7994950 -0.07212676
#> [5,] -0.9838587 -0.19082061 -1.43922930 -1.4696578 -2.4903470 -0.71147283
#> y3_42 x1_42 x2_42 y1_43 y2_43 y3_43
#> [1,] -0.7748278 -1.19432890 0.6119969 -0.10121621 1.8060507 0.4460444
#> [2,] 0.8901553 -0.27925937 -1.3362367 0.61060692 -0.3885625 -1.0955178
#> [3,] 1.3984393 0.04372201 0.3480123 0.45115331 -2.0828687 1.6863428
#> [4,] -0.3533231 -0.19565682 -0.2181748 -0.04885723 -1.0599949 0.6701214
#> [5,] -1.1043962 0.76186345 -0.2436150 -0.16237658 -0.2331553 -0.6697140
#> x1_43 x2_43 y1_44 y2_44 y3_44 x1_44
#> [1,] -0.2171398 -0.1827567 -1.457261 -0.702341 -0.02497946 0.9333463
#> [2,] 0.7007488 0.5541966 -2.175534 -1.107481 -1.26217429 -0.8363066
#> [3,] 2.4595935 -0.8183803 1.952765 -2.492334 0.00432441 -2.1132001
#> [4,] -0.3047780 0.5978327 2.512454 -2.018226 0.16243943 1.3974294
#> [5,] 0.2696766 -1.5589275 -3.896427 2.019988 -0.04529128 -0.5355880
#> x2_44 y1_45 y2_45 y3_45 x1_45 x2_45
#> [1,] 0.8217731 -0.9831391 0.9994024 3.1503015 1.3921164 -0.4761739
#> [2,] -1.5945882 0.7340985 -0.7533449 -2.1924199 0.2049586 -0.3450880
#> [3,] 0.2736953 2.2299542 0.4874205 0.4514499 -0.6875968 0.4460411
#> [4,] 0.6876198 2.1679166 -1.5166678 -1.3601942 0.3201880 -0.3018699
#> [5,] 0.5624520 0.6531392 1.3666939 1.7850713 -0.1783261 -0.1151360
#> y1_46 y2_46 y3_46 x1_46 x2_46 y1_47
#> [1,] -0.5168949 1.24877752 -0.49639914 0.65034856 1.3911105 -3.6370966
#> [2,] 1.5346657 -0.94852167 -0.02162973 0.25261170 -1.2940025 1.0756810
#> [3,] 1.4045247 1.45055467 0.35575850 -0.81238472 2.2120555 -0.0574027
#> [4,] 3.2596240 0.12775727 -0.38482344 0.49834869 -0.5495369 1.8684240
#> [5,] 0.4616186 -0.06109306 1.49734976 -0.07206147 1.2109098 0.7463014
#> y2_47 y3_47 x1_47 x2_47 y1_48 y2_48
#> [1,] 0.02088656 0.2411616 -1.1107889 -0.8607926 0.2395879 -0.06391602
#> [2,] 1.03974512 -0.5862474 -0.9591704 1.0857749 3.0474133 1.33874980
#> [3,] 0.91049398 0.8101820 -0.1237060 -0.4773355 1.5218235 -0.50759186
#> [4,] -0.15782705 -1.6212787 -0.2792565 1.0965134 2.4411195 0.78024158
#> [5,] -1.45892392 0.3547960 -0.6148969 0.6761265 -0.6336531 -0.83164252
#> y3_48 x1_48 x2_48 y1_49 y2_49 y3_49
#> [1,] 1.908043 -1.1317387 -1.4592140 0.3583062 1.3518190 1.55417479
#> [2,] 0.559258 0.4037749 0.5864875 2.4212966 -0.3200761 -0.06399690
#> [3,] 1.018314 -0.1662615 0.8625634 -0.1229318 -3.3831398 0.51101047
#> [4,] -2.333490 0.4420131 0.2410163 0.9136470 -0.8633060 -0.22048714
#> [5,] -2.093679 0.8985996 -1.1893179 -0.1293048 0.4391199 0.06054169
#> x1_49 x2_49
#> [1,] 0.07998255 0.65320434
#> [2,] 1.81522845 0.12882143
#> [3,] 0.09734049 -1.62561674
#> [4,] -0.25560766 0.93103290
#> [5,] 0.12125885 -0.01122169
# Type 2
ssm <- SimSSMFixed(
n = n,
time = time,
mu0 = mu0,
sigma0_l = sigma0_l,
alpha = alpha,
beta = beta,
psi_l = psi_l,
nu = nu,
lambda = lambda,
theta_l = theta_l,
type = 2,
x = x,
gamma = gamma,
kappa = kappa
)
head(as.matrix(ssm))
#> id time y1 y2 y3 x1 x2
#> [1,] 1 0 -2.2617108 -0.7667176 0.5340921 1.3709584 -0.56469817
#> [2,] 1 1 0.9759577 0.5206830 1.1328299 0.3631284 0.63286260
#> [3,] 1 2 1.4864513 1.5139406 0.7636724 0.4042683 -0.10612452
#> [4,] 1 3 0.6895916 -1.4110927 0.5326012 1.5115220 -0.09465904
#> [5,] 1 4 -2.0426250 -1.6092847 2.9555453 2.0184237 -0.06271410
#> [6,] 1 5 0.1554637 -0.2390945 0.7660269 1.3048697 2.28664539
head(as.matrix(ssm, long = FALSE))
#> id y1_0 y2_0 y3_0 x1_0 x2_0 y1_1
#> [1,] 1 -2.26171084 -0.7667176 0.5340921 1.370958447 -0.5646982 0.97595771
#> [2,] 2 -0.01083935 1.2735290 2.1028202 1.200965376 1.0447511 -1.22065483
#> [3,] 3 -1.17628203 1.5504647 -0.4657054 -2.000929238 0.3337772 -0.16068750
#> [4,] 4 -1.09443990 0.7378863 -1.5560017 -0.004620768 0.7602422 -0.33062582
#> [5,] 5 2.91767302 0.2292802 1.1298055 1.334912585 -0.8692718 0.06649816
#> y2_1 y3_1 x1_1 x2_1 y1_2 y2_2
#> [1,] 0.5206830 1.1328299 0.36312841 0.63286260 1.4864513 1.5139406
#> [2,] 2.3612218 1.1376440 -1.00320865 1.84848190 -0.4653553 0.5947964
#> [3,] 0.7164697 -0.5730460 1.17132513 2.05953924 -1.6635127 0.2287985
#> [4,] 0.5212429 0.9009251 0.03899091 0.73507214 -0.7938779 -0.3201251
#> [5,] -1.0677271 2.2473308 0.05548695 0.04906691 -0.3308651 -0.5287427
#> y3_2 x1_2 x2_2 y1_3 y2_3 y3_3
#> [1,] 0.76367243 0.4042683 -0.10612452 0.6895916 -1.4110927 0.5326012
#> [2,] -0.44834655 -0.6667734 0.10551381 -0.7405792 -0.5751752 1.2894237
#> [3,] 0.10846422 -1.3768616 -1.15085557 -0.3987294 -2.2224797 -0.2573785
#> [4,] 0.09072877 -0.1464726 -0.05788734 1.2413697 2.0108480 1.0675637
#> [5,] -0.39058089 -0.5783557 -0.99873866 0.4627781 0.7531802 -1.4845421
#> x1_3 x2_3 y1_4 y2_4 y3_4 x1_4
#> [1,] 1.51152200 -0.09465904 -2.04262498 -1.6092847 2.95554532 2.0184237
#> [2,] -0.42225588 -0.12235017 0.08938988 -2.1971766 -0.29360369 0.1881930
#> [3,] -0.70582139 -1.05405578 -1.04567361 -2.2322137 0.94546923 -0.6457437
#> [4,] 0.48236947 0.99294364 -0.41209094 -0.6080460 2.11912321 -1.2463955
#> [5,] -0.00243278 0.65551188 -0.16190873 0.9545628 0.09236095 1.4768423
#> x2_4 y1_5 y2_5 y3_5 x1_5 x2_5
#> [1,] -0.06271410 0.1554637 -0.2390945 0.7660269 1.30486965 2.2866454
#> [2,] 0.11916096 -0.3856124 1.0283889 0.4224272 -0.02509255 0.1080727
#> [3,] -0.18537797 -1.1221677 -1.7405010 1.4310039 -1.20122205 2.0369722
#> [4,] -0.03348752 1.6593916 -2.2213285 0.5968630 -0.07096218 -0.7589207
#> [5,] -1.90915279 -1.1067060 -0.3530877 -0.1913458 -0.70243947 -0.3114302
#> y1_6 y2_6 y3_6 x1_6 x2_6 y1_7
#> [1,] -0.3577100 -1.11826529 0.3574445 -1.3888607 -0.2787888 -0.9035040
#> [2,] -0.2227387 -0.44385541 0.2499583 -0.4854352 -0.5042171 0.8001131
#> [3,] -0.7254209 0.34005317 1.5168391 0.1077747 -0.0841081 -1.8839166
#> [4,] -2.7752740 -1.45383703 0.8223615 -1.0343594 -0.6307320 -3.4695359
#> [5,] 0.1157016 0.01079781 1.8961065 -1.6631570 -0.7505334 2.1013598
#> y2_7 y3_7 x1_7 x2_7 y1_8 y2_8
#> [1,] 1.6431612 -0.5654410 -0.1333213 0.63595040 -0.3055039 0.5140589
#> [2,] -0.3852358 -0.6260134 -1.6610991 -0.38233373 0.6097453 0.3018880
#> [3,] -1.3832898 0.8759856 0.4956196 0.03741519 -0.9261098 0.8598035
#> [4,] -0.2338029 -2.2144320 0.5868077 -0.41632266 -3.0403706 -1.7676560
#> [5,] -0.3598088 0.8637659 -0.7773518 -0.72256970 -0.6761900 -0.3791144
#> y3_8 x1_8 x2_8 y1_9 y2_9 y3_9
#> [1,] 1.3956298 -0.2842529 -2.6564554 0.7170630 0.9319849 1.7523587
#> [2,] -0.2750748 -0.5126503 2.7018910 1.0110175 1.1011928 -2.1915604
#> [3,] 0.1280309 -0.1320880 1.4767874 0.1551347 -0.3676341 0.3566809
#> [4,] -0.5040090 -0.7848878 0.1634163 -1.6478691 -1.7046013 -0.8163977
#> [5,] 1.4061523 -2.1888346 0.2134186 -2.1447521 0.9616863 1.7582653
#> x1_9 x2_9 y1_10 y2_10 y3_10 x1_10
#> [1,] -2.4404669 1.3201133 0.61528870 0.06595301 0.3283583 -0.3066386
#> [2,] -1.3621162 0.1372562 1.84601432 1.07596242 -1.1666866 -1.4936251
#> [3,] -0.2170302 -1.2836022 -0.85339502 -0.02230328 1.9582845 0.3856679
#> [4,] -1.2367142 1.0458738 0.07623835 -2.27620204 0.2104809 -0.4845954
#> [5,] -0.6319229 1.5204912 0.44929767 0.23189896 0.1892874 0.7959559
#> x2_10 y1_11 y2_11 y3_11 x1_11 x2_11
#> [1,] -1.7813084 -0.6584546 1.1780206 2.2128578 -0.17191736 1.2146746992
#> [2,] -1.4704357 1.3268751 1.4581645 1.6710793 0.12470239 -0.9966391349
#> [3,] -0.3515129 -2.3708827 -1.0934615 -2.3682302 -0.52179609 -1.0681312007
#> [4,] 0.1891288 -1.4402695 -0.3698054 -1.1972837 0.05100633 -0.0002406689
#> [5,] -1.4535296 0.5914779 2.3065489 -0.6066982 0.09839542 -0.5937709842
#> y1_12 y2_12 y3_12 x1_12 x2_12 y1_13
#> [1,] -1.6574764 1.8291666 0.2199046 1.895193461 -0.43046913 -2.2151404
#> [2,] 1.1932733 -0.1249057 -0.6931150 -0.001822614 -0.42825888 -0.1552379
#> [3,] -0.3379368 -0.1078337 1.3526176 0.428365903 -0.17401823 1.1126262
#> [4,] 0.1015011 -0.7048022 -1.1787278 1.809382042 -0.82532796 2.0640866
#> [5,] -1.2065887 0.2941488 -1.7351641 0.888281169 0.05307042 -0.4365304
#> y2_13 y3_13 x1_13 x2_13 y1_14 y2_14
#> [1,] -0.42539203 -1.8083666 -0.2572694 -1.76316309 -1.42026784 -0.5793268
#> [2,] -0.06603291 0.7551181 -0.6136716 -2.02467785 1.33106571 0.2816104
#> [3,] -1.11051383 -0.3005570 0.5156677 -0.23436528 -1.18306966 -2.7370652
#> [4,] -1.93662451 1.5293285 1.1454705 0.03157319 0.08559636 1.0091553
#> [5,] -1.07341658 0.2023655 -0.5570236 0.43839704 0.08712358 -1.4457050
#> y3_14 x1_14 x2_14 y1_15 y2_15 y3_15
#> [1,] -0.6061088 0.4600974 -0.63999488 -0.9428814 0.59601820 2.1629074
#> [2,] -2.1650570 -1.2247480 0.17951644 1.0131716 0.03519945 -1.1499958
#> [3,] -0.1639112 -0.6585034 1.25023660 -0.2079178 -0.26248612 -0.1580101
#> [4,] 2.6040149 -0.8352058 -0.06876365 -0.3314998 0.24641057 3.5398440
#> [5,] 0.3418526 0.1526082 -0.16461758 -0.7151986 0.08833419 1.0854586
#> x1_15 x2_15 y1_16 y2_16 y3_16 x1_16
#> [1,] 0.4554501 0.7048373 -0.3427984 0.7387568 1.10667527 1.035104e+00
#> [2,] 0.5676206 -0.4928774 0.6484758 0.7295049 -0.91152816 6.288407e-05
#> [3,] -0.2717637 0.9479520 -2.2845259 2.6062737 -0.16398670 -1.201582e+00
#> [4,] 0.7467717 -0.4255187 0.3390863 -0.4424833 3.00894938 -7.720822e-01
#> [5,] 2.0198906 -0.5293859 -0.3580190 -0.8553143 -0.06110253 -4.707870e-01
#> x2_16 y1_17 y2_17 y3_17 x1_17 x2_17
#> [1,] -0.6089264 0.7831213 2.5436538 -1.9466145 0.50495512 -1.71700868
#> [2,] 1.1228896 -1.3577298 -1.2937834 0.9420950 1.43985574 -1.09711377
#> [3,] -0.4661161 -0.6930692 1.6987587 -1.3298241 -0.26935140 -0.39096541
#> [4,] 0.1527641 2.0548933 -0.4498286 -1.3480820 0.98859685 -0.07345833
#> [5,] -1.5459369 -0.7032934 -0.3767284 0.4782274 -0.04052672 0.89035631
#> y1_18 y2_18 y3_18 x1_18 x2_18 y1_19
#> [1,] -0.1979541 0.934651116 -2.4605171 -0.7844590 -0.8509076 0.09501072
#> [2,] 1.0538112 0.482245291 -0.2161476 -0.1173196 1.2014984 0.55752311
#> [3,] -0.1742509 0.002553713 -0.5221625 1.3487070 -0.0227647 -2.30534138
#> [4,] -0.2050521 -0.620461603 -0.2960910 -1.3870266 -1.3066759 -1.54067494
#> [5,] 0.5126820 -0.990310060 -1.6786754 -2.0713879 -0.2500651 -1.24765403
#> y2_19 y3_19 x1_19 x2_19 y1_20 y2_20
#> [1,] 0.16565982 -2.67127807 -2.4142076 0.03612261 0.06524747 0.1468387
#> [2,] 1.63942582 -0.06732495 -0.4697296 -0.05246948 0.57675232 -0.2908006
#> [3,] 1.66243142 -1.05916120 0.2442259 -0.94237171 -3.28260298 1.3880891
#> [4,] 0.01575045 0.76033397 -0.7683953 -0.52710813 -0.62321824 0.9650449
#> [5,] 0.38733170 0.73859327 -1.1816504 1.44193727 -1.96697562 0.1014138
#> y3_20 x1_20 x2_20 y1_21 y2_21 y3_21
#> [1,] -1.078771 0.20599860 -0.3610573 -1.2301772 0.5091490 0.02231443
#> [2,] 1.491129 -0.08610730 -0.8876790 -0.2472754 -0.4192988 -1.41122249
#> [3,] -1.116361 -0.72921728 0.9980689 -0.7938003 -0.1749302 1.51059438
#> [4,] 2.117989 -0.02142707 0.6704981 -1.2653429 2.3447854 -1.05513299
#> [5,] -1.252068 1.35789554 0.3345028 0.0408507 -2.1493766 0.93601973
#> x1_21 x2_21 y1_22 y2_22 y3_22 x1_22
#> [1,] 0.7581632 -0.72670483 -3.0469130 0.3743534 1.0232007 -1.3682810
#> [2,] -0.4446840 -0.02944488 -0.5645269 -0.9572478 0.7276238 -0.4138688
#> [3,] 1.2584817 1.24886369 -1.5603645 -0.1838495 0.7381851 -1.3806370
#> [4,] -0.4346170 -1.11387978 -0.4357499 1.1624015 0.2351577 0.6071060
#> [5,] 1.4293381 -0.86731785 -0.7831636 -1.6882271 1.8769630 0.9506517
#> x2_22 y1_23 y2_23 y3_23 x1_23 x2_23
#> [1,] 0.4328180 -1.8262502 -0.7376244 -0.3671736 -0.8113932 1.44410126
#> [2,] 1.1133860 -0.1703043 0.2797799 1.5287615 -0.4809928 -0.43316903
#> [3,] 2.0499607 -0.9550793 0.2786485 -1.3416689 1.0168728 -0.02671746
#> [4,] 0.2754570 -0.3413122 -0.4190110 -1.2849335 1.1573471 -1.68248086
#> [5,] -0.5850115 -0.1491781 -0.7253244 -1.3660979 0.3209575 -0.29939602
#> y1_24 y2_24 y3_24 x1_24 x2_24 y1_25
#> [1,] -0.7958582 1.22671231 -0.46755175 -0.43144620 0.6556479 0.4792682
#> [2,] -1.5288576 -1.18580336 -0.09326903 0.69686258 -1.0563684 -0.8426745
#> [3,] -0.4028647 -1.36256873 1.44578030 0.70360778 -0.9713852 1.5342963
#> [4,] -0.7521130 1.65155850 0.37153081 0.08731909 1.3533619 1.6027442
#> [5,] -0.3675176 -0.02479883 -0.90361727 -0.27854308 0.5461152 -0.4166378
#> y2_25 y3_25 x1_25 x2_25 y1_26 y2_26
#> [1,] -0.6222010 -0.8141507 0.32192527 -0.78383894 1.49478044 -0.7011373
#> [2,] 2.6837173 0.3922965 -0.04069848 -1.55154482 0.06169944 1.4954911
#> [3,] -0.4870606 -0.5943964 -1.09615624 0.04905045 0.72900810 -2.7314058
#> [4,] -1.0151345 1.7426810 0.72417380 -0.83255283 -0.06770521 -0.3768668
#> [5,] 2.3206512 -0.1405577 -1.30382115 -0.25091447 0.10216523 0.5191222
#> y3_26 x1_26 x2_26 y1_27 y2_27 y3_27
#> [1,] 0.9654151 1.5757275 0.6428993 -1.1647060 -2.2184199 3.4363355
#> [2,] -2.1184110 1.1671695 -0.2736457 2.6494635 0.1662511 0.1836773
#> [3,] 0.3839384 -1.1984959 0.1900190 -0.4266472 -1.1554926 -1.1296515
#> [4,] -0.2867897 0.7325285 -0.8719269 0.7947885 -2.3842952 -2.1643112
#> [5,] 0.3139478 0.1710074 -0.4034675 1.9508978 -0.3848814 -3.0563611
#> x1_27 x2_27 y1_28 y2_28 y3_28 x1_28
#> [1,] 0.08976065 0.2765507 -1.1232442 -0.3386327 2.4856565 0.679288816
#> [2,] -0.46784532 -1.2382523 0.4372636 1.8478779 -1.3167820 -0.007762034
#> [3,] 1.29770590 -1.0338737 -0.9236442 -3.0363753 1.1332017 -0.738440754
#> [4,] -0.45339751 1.1875343 1.6876901 -1.3855848 -1.1868768 -0.290145312
#> [5,] 0.10465944 -0.3188808 1.5762711 2.9005160 -0.6647209 1.618343936
#> x2_28 y1_29 y2_29 y3_29 x1_29 x2_29
#> [1,] 0.08983289 -0.2116782 -0.2639721 0.7380767 -2.9930901 0.2848830
#> [2,] -0.80028218 0.6312305 2.1808281 -0.6859749 -0.5334923 1.2876752
#> [3,] 0.04656394 -0.8130017 -1.9517001 -0.8381478 -1.0175961 -0.3832840
#> [4,] 0.82854614 0.4826578 -3.0943325 -0.9111990 -0.2912277 -1.5763624
#> [5,] 0.71418860 3.3908647 2.3261089 -1.4026520 2.9658654 -0.7950776
#> y1_30 y2_30 y3_30 x1_30 x2_30 y1_31
#> [1,] -1.2035309 -0.3571279 -1.64509425 -0.3672346 0.1852306 0.07109925
#> [2,] 2.0804276 0.2775435 0.06526954 -0.1755259 -1.0717824 0.55629458
#> [3,] -1.0822334 -0.9186276 1.39868427 0.8727554 0.9695450 -0.46278148
#> [4,] -1.7304351 -2.5725873 -0.55611115 -0.8488157 -1.0885199 1.36947093
#> [5,] -0.2029005 1.1005079 -1.85546589 0.8143659 2.0980308 -0.01129053
#> y2_31 y3_31 x1_31 x2_31 y1_32 y2_32
#> [1,] -2.24613575 1.99010583 0.5818237 1.3997368 3.7186580 -0.05208359
#> [2,] 0.69940331 -0.97774634 0.1632069 -0.3627384 -0.5323864 2.47158612
#> [3,] -1.93447356 0.98093559 0.3838467 -1.8515557 -0.9562222 1.44806587
#> [4,] -0.06717144 -0.09082801 -0.4842906 -0.3363112 -1.0024854 -0.90709147
#> [5,] 0.20335470 -3.45852622 0.3009801 -1.0830751 -0.3644994 -1.24486220
#> y3_32 x1_32 x2_32 y1_33 y2_33 y3_33
#> [1,] -0.56197007 -0.72729206 1.30254263 -0.1160670 0.3101314 1.53358498
#> [2,] -0.97034857 0.59001355 1.43242193 0.1011716 -0.1749360 -0.26398660
#> [3,] -2.37649172 -0.05399674 1.06477321 -2.4240088 1.2592813 -0.08246484
#> [4,] 0.06740686 -0.15335789 -0.24324723 1.2153747 0.1826516 -0.99893422
#> [5,] -3.45887740 -1.00632250 -0.03541456 0.7289556 -1.5118393 -0.91846250
#> x1_33 x2_33 y1_34 y2_34 y3_34 x1_34
#> [1,] 0.3358481 1.0385061 -0.4771736 1.9733541 -0.06159458 0.92072857
#> [2,] -0.9926925 0.4546503 3.5078962 -0.6752161 -0.09798790 0.08489806
#> [3,] 0.8131950 -0.1908165 0.7883838 1.6639357 1.78529327 -2.69992981
#> [4,] 1.8922020 -1.3859983 0.4488331 1.4923626 -0.27997541 -0.41482430
#> [5,] 1.3091244 0.7504005 -0.3396360 -2.6796190 0.09732401 -2.13836833
#> x2_34 y1_35 y2_35 y3_35 x1_35 x2_35
#> [1,] 0.72087816 0.1334822 0.6098394 0.9771480 -1.043118939 -0.09018639
#> [2,] 0.89556558 0.7529208 0.2315859 -0.2440604 -0.229778139 0.83661907
#> [3,] 0.06096664 2.7238966 -0.4761221 -1.4859338 0.573751697 0.04580358
#> [4,] 0.34908153 1.2359666 0.7233830 1.4193523 1.628442266 0.08852190
#> [5,] -0.70035411 -1.3900866 -1.2572970 1.5649886 -0.009056475 -1.45813349
#> y1_36 y2_36 y3_36 x1_36 x2_36 y1_37
#> [1,] -2.1793162 0.7935969 -0.5925976 0.6235182 -0.9535234 -1.69080557
#> [2,] 0.6036193 0.2024711 1.3342233 -1.7450559 1.6894589 -0.09277337
#> [3,] 0.9637950 -0.8749543 -0.1194499 0.1574125 0.4315654 0.94630702
#> [4,] 1.6951209 -1.2556609 0.2163004 1.2391507 -1.6445555 1.13743144
#> [5,] -1.8757981 -0.6122068 1.5551625 0.6945296 -2.4613355 -0.87174442
#> y2_37 y3_37 x1_37 x2_37 y1_38 y2_38
#> [1,] -0.3025021 1.7319803 -0.5428288 0.5809965 -2.6354214 -0.7183577
#> [2,] -1.1021267 1.6043880 0.8647780 -0.1507760 -0.6308415 -1.1112348
#> [3,] -0.5591950 -0.8697912 -0.3965497 1.3099782 1.5346053 -1.9888093
#> [4,] -2.4450389 1.0365605 1.4463565 -0.6905602 2.2584497 -2.7826021
#> [5,] -0.9280160 -0.8723213 0.1432898 -0.3912221 0.4400004 -1.7603171
#> y3_38 x1_38 x2_38 y1_39 y2_39 y3_39
#> [1,] -0.4737886 0.7681787 0.4637676 -2.8071935 -0.5614764 0.881604859
#> [2,] 1.6758752 -1.4490071 0.6430087 0.3740888 -0.1523084 -0.006343342
#> [3,] -0.2844570 0.4703934 -1.2426703 0.2343761 2.1184055 0.795769292
#> [4,] -1.3484993 -0.2764311 -1.1094188 0.4663693 -1.6985818 0.626488740
#> [5,] -0.9955418 -0.4911641 -0.2836475 1.4811656 0.8301803 -0.163071934
#> x1_39 x2_39 y1_40 y2_40 y3_40 x1_40
#> [1,] -0.8857763 -1.099780899 -2.2040033 0.1882097 -0.1269184 1.5127070
#> [2,] 0.4831939 -0.006355626 0.6789519 2.3019134 0.6939580 0.1514559
#> [3,] 1.3815755 1.204458937 0.4976630 1.2046355 -1.1505839 0.8240740
#> [4,] 0.1338693 1.785339052 1.3594825 -0.6741237 2.0404639 2.4221634
#> [5,] 0.3147948 0.396326578 1.4834493 2.9148698 -0.2685219 -0.2256037
#> x2_40 y1_41 y2_41 y3_41 x1_41 x2_41
#> [1,] 0.2579214 0.57684619 -0.6899581 0.5429887 0.08844023 -0.1208965
#> [2,] -0.5841090 -0.08175649 0.6560388 2.2044339 0.36880673 0.2946543
#> [3,] -1.6626294 -0.90625055 -0.2168597 -1.9086710 -0.56930634 0.6355138
#> [4,] -1.0768289 0.92517233 0.0159189 0.5964618 0.48594111 1.3885217
#> [5,] -1.9249504 -1.51243420 0.4976952 -1.4491377 -1.43922930 -1.4696578
#> y1_42 y2_42 y3_42 x1_42 x2_42 y1_43
#> [1,] -0.9841455 1.95659308 0.10631121 -1.19432890 0.6119969 -0.4172575
#> [2,] 1.6252713 1.40303796 -0.64688033 -0.27925937 -1.3362367 -0.4323630
#> [3,] 0.5611223 0.09548179 0.02792649 0.04372201 0.3480123 0.6717540
#> [4,] -1.8603537 -1.05576936 -1.43747523 -0.19565682 -0.2181748 -0.1999509
#> [5,] 0.7375841 -1.27621056 -0.28031657 0.76186345 -0.2436150 1.5568158
#> y2_43 y3_43 x1_43 x2_43 y1_44 y2_44
#> [1,] -0.03975722 -1.0649549 -0.2171398 -0.1827567 -0.6356891 -0.8823777
#> [2,] 0.69400066 -0.4854508 0.7007488 0.5541966 -1.5815027 1.2093094
#> [3,] 0.59886248 -1.4107830 2.4595935 -0.8183803 -1.5925834 0.2028067
#> [4,] -0.27958137 -0.1115583 -0.3047780 0.5978327 -1.3860432 0.8088848
#> [5,] -0.60905958 -2.4224375 0.2696766 -1.5589275 -2.1225482 0.3167143
#> y3_44 x1_44 x2_44 y1_45 y2_45 y3_45
#> [1,] 1.0255378 0.9333463 0.8217731 1.4168399 -1.2529312 -0.0138464
#> [2,] 0.1015089 -0.8363066 -1.5945882 1.0726562 -0.3726381 -3.8113788
#> [3,] 2.1139917 -2.1132001 0.2736953 0.7580356 -1.1751165 -0.1074872
#> [4,] 1.2056015 1.3974294 0.6876198 -1.8356432 1.1946067 1.3876294
#> [5,] -0.5508063 -0.5355880 0.5624520 -2.3342729 -0.4466525 -0.9093240
#> x1_45 x2_45 y1_46 y2_46 y3_46 x1_46
#> [1,] 1.3921164 -0.4761739 1.12795639 -0.6834568 -2.15905811 0.65034856
#> [2,] 0.2049586 -0.3450880 -3.52737494 -0.7430851 -0.08598658 0.25261170
#> [3,] -0.6875968 0.4460411 0.05897484 2.5111017 0.04442733 -0.81238472
#> [4,] 0.3201880 -0.3018699 -0.97038509 1.3974840 0.24494246 0.49834869
#> [5,] -0.1783261 -0.1151360 -2.60616376 -0.7653270 -4.59670290 -0.07206147
#> x2_46 y1_47 y2_47 y3_47 x1_47 x2_47
#> [1,] 1.3911105 -1.3150620 -0.4756001 -1.8329691 -1.1107889 -0.8607926
#> [2,] -1.2940025 -0.7472187 -2.0455025 -2.0144549 -0.9591704 1.0857749
#> [3,] 2.2120555 2.8324142 1.4446795 -0.1309829 -0.1237060 -0.4773355
#> [4,] -0.5495369 -0.6650360 -1.8388994 1.8045724 -0.2792565 1.0965134
#> [5,] 1.2109098 -1.3209728 1.4065665 -0.7600015 -0.6148969 0.6761265
#> y1_48 y2_48 y3_48 x1_48 x2_48 y1_49
#> [1,] -1.3449987 1.7682712 0.5772184 -1.1317387 -1.4592140 -2.4462217
#> [2,] -1.4057986 -1.7109581 -0.5982397 0.4037749 0.5864875 -0.2728646
#> [3,] 0.1231669 -1.3976359 1.5982764 -0.1662615 0.8625634 -0.4690810
#> [4,] -1.9632644 -1.0236716 1.2249418 0.4420131 0.2410163 2.2338761
#> [5,] -0.8411154 0.7324089 0.6988805 0.8985996 -1.1893179 -0.1271400
#> y2_49 y3_49 x1_49 x2_49
#> [1,] 1.19775527 -1.2621964 0.07998255 0.65320434
#> [2,] 1.19842157 2.2908512 1.81522845 0.12882143
#> [3,] -3.23643735 -0.6867484 0.09734049 -1.62561674
#> [4,] 0.32421845 2.2357651 -0.25560766 0.93103290
#> [5,] 0.09189132 0.1123442 0.12125885 -0.01122169