generate_individual
generate_individual.Rdsimulates data for an individual participant
Usage
generate_individual(
id = 1,
T,
P,
sigma_residual,
sigma_randint,
main_rand = 0.5,
rho,
beta_logit,
model,
beta,
theta1
)Arguments
- id
the assigned id for this specific individual
- T
the number of observations for this individual
- P
the number of measurements or predictors
- sigma_residual
the noise added to the moderator formula when generate pseudo outcome. This noise is generated using ARIMA
- sigma_randint
the noise added to the moderator formula so the intercept is random across participants when generate pseudo outcome.
- main_rand
the noise added to the control formula when generate pseudo outcome. This noise is generated using ARIMA
- rho
this value is used to simulate state or predictors and random noises. We also use ARIMA when generating predictors, and rho defines how much of the past values influence the current value in an autoregressive model
- beta_logit
the true value of beta when simulate the probability of assigning treatment \(p(A_t = 1|H_t)\)
- model
the true model for moderator when generate pseudo outcomes
- beta
the true coefficients for moderator
- theta1
the coefficients for the working model of control variables. For now, we just simply assume the working model contains the all predictors with coefficients equal to theta1
Value
A data frame containing the generated states \(S_t\), action \(A_t\), outcomes \(Y_{t+1}\), treatment effects, and noise components for a single participant. The outcome \(Y_{t + 1}\) is generated following the typical WCLS setting i.e. $$ Y_{i,t+1} \sim g_t(H_t) \theta_1 + (A_t - p_t(1|S_t)) (f(S_t)^T \beta + \sigma_{i,t,residual} + \sigma_{i,randint}) + \sigma_{i,t,rand} $$ where i represents the ith participant and t is the tth observation for this participant. This function simply assume the working model \(g_t(H_t)\) is \((H_{1,t} + H_{2,t} + ... + H_{P,t})\theta_1\)
Examples
generate_individual(id = 1, T = 50, P = 50, sigma_residual = 1.5, sigma_randint = 1.5, main_rand = 2, rho = 0.7,
beta_logit = c(-1, 1.6 * rep(1/50, 50)), model = ~ state1 + state2 + state3 + state4,
beta = matrix(c(-0.2, 0.8, 0.3, 0.7, 0.3),ncol = 1),
theta1 = 0.8
)
#> id decision_point state1 state2 state3 state4 state5
#> 1 1 1 -0.19765883 2.26788314 -4.585262503 -2.7211128 -3.7168160
#> 2 1 2 -0.88085245 3.13672917 -3.220530585 -0.9987536 -3.5482232
#> 3 1 3 -0.60846004 3.39440850 -3.916147950 -1.1938214 -4.0914216
#> 4 1 4 0.05705713 2.13855879 -4.055513504 -1.9502309 -2.9782735
#> 5 1 5 -1.23249505 -1.57975577 -3.042918746 -1.0873408 -2.0690745
#> 6 1 6 -1.21366124 -1.41837854 -3.424928860 -1.7552837 -4.4483785
#> 7 1 7 -1.75167731 -0.27818656 -2.221863098 -2.1892228 -5.3867214
#> 8 1 8 -4.01461005 -1.50704807 0.774858408 -1.8512215 -4.0373446
#> 9 1 9 -2.47802779 -1.83874816 3.635030225 -0.9776013 -1.0790549
#> 10 1 10 0.55975967 -1.44473233 3.253997526 0.7635798 1.8123920
#> 11 1 11 1.85020333 -1.88509062 2.322888389 0.9458231 2.1171852
#> 12 1 12 3.66787993 -3.38764364 2.756923391 -0.5758382 1.6711310
#> 13 1 13 5.88830681 -2.52691621 4.868324246 -3.3653061 -0.9843080
#> 14 1 14 6.23751528 0.55959851 5.572425315 -4.9205504 -2.7239699
#> 15 1 15 4.80612801 2.26047069 4.128911271 -3.9990856 -2.3172568
#> 16 1 16 2.76869897 2.93155173 2.733887869 -4.0931849 -2.3989163
#> 17 1 17 0.06503572 1.91105071 0.926859600 -5.3019524 -1.5995062
#> 18 1 18 -2.67392458 0.05131630 0.231689077 -4.0297899 -0.5077014
#> 19 1 19 -4.02614905 -0.51004602 0.821401552 -1.2897306 -1.9076132
#> 20 1 20 -4.72175172 -1.34376946 0.486393371 -0.4674784 -3.2624597
#> 21 1 21 -6.77930380 -0.84199936 -1.771058790 -0.8215639 -1.6938000
#> 22 1 22 -7.12922745 -0.43212901 -2.755554444 0.2375669 -0.3572353
#> 23 1 23 -4.16876616 -1.58282030 -0.567340615 1.1489274 -1.4288711
#> 24 1 24 -1.54209260 -0.12932953 0.001490199 0.3304749 -3.0343368
#> 25 1 25 -0.44814972 2.73817883 -0.182629212 -2.0115999 -2.2348640
#> 26 1 26 1.13311919 2.69417200 0.090369700 -1.7477318 1.6694068
#> 27 1 27 3.34509376 1.60498623 1.133277465 -1.5123362 2.0074240
#> 28 1 28 3.58367200 0.67014175 2.533743419 -3.7199404 0.6334232
#> 29 1 29 3.55654852 0.70215484 0.981912249 -4.6466137 1.3542778
#> 30 1 30 2.78334502 3.31400284 0.141182650 -3.9439135 0.5776489
#> 31 1 31 -0.36760173 3.65814501 -0.992883294 -3.0918822 2.3801420
#> 32 1 32 -3.65914690 2.17234604 -0.346951287 -2.7974285 3.9082142
#> 33 1 33 -6.07399640 1.50998300 1.688766043 -2.3951340 2.0358020
#> 34 1 34 -5.92557993 1.62259270 1.140181830 -1.0396000 -1.5723116
#> 35 1 35 -5.69514952 1.37930251 1.118095684 1.3749734 -2.4294371
#> 36 1 36 -3.04656879 -0.01010014 1.029155927 2.6408575 0.3845477
#> 37 1 37 -0.59888913 -0.29561071 1.024291493 0.4027388 0.7340721
#> 38 1 38 -3.24826384 -2.03937753 -0.275977920 -2.5666518 -0.3418253
#> 39 1 39 -4.31724439 -2.95806510 -1.627678404 -3.4298073 -2.0185226
#> 40 1 40 -5.44041102 -1.44384075 -0.976566989 -1.6869659 -1.4694064
#> 41 1 41 -6.73891016 -2.05606591 -0.874541865 -0.3359987 1.5948400
#> 42 1 42 -4.28295394 -3.11162653 -0.680274775 0.7667642 2.1513665
#> 43 1 43 -2.16928058 -1.96071491 0.771418978 0.2241800 1.2843466
#> 44 1 44 -3.71689601 0.23059453 1.260535207 -1.0831201 0.2104782
#> 45 1 45 -5.54407928 -0.69603613 1.437526266 0.3427186 1.2661508
#> 46 1 46 -5.06997765 -2.62357323 2.026378085 0.4768496 3.1159091
#> 47 1 47 -3.96352534 -4.04893364 1.739842484 -0.0545017 1.3000872
#> 48 1 48 -1.79404807 -5.84498433 1.174843819 0.7908770 1.5082834
#> 49 1 49 1.96857122 -6.41207954 -1.719194028 1.6595358 2.5621724
#> 50 1 50 4.60067925 -5.42731492 -3.915735070 0.4681038 0.3875824
#> state6 state7 state8 state9 state10 state11
#> 1 0.6550341 2.26264454 -1.3935149 -3.9364436 -4.8017927 3.50845523
#> 2 0.9708717 2.90091199 -2.2327195 -3.5658871 -1.5691588 6.59632737
#> 3 1.6898336 4.53083936 0.2066985 -2.1913117 -1.3812709 6.73773973
#> 4 2.8140331 3.55787237 1.0754748 1.1692930 -2.3215395 2.27695839
#> 5 1.2099298 0.46051334 0.6681178 -0.1143020 -3.4698135 -1.34453956
#> 6 -0.6712339 1.02589062 0.4827324 -2.2168479 -3.8843906 -2.56630247
#> 7 -0.2805822 0.42042429 -0.2207173 -2.0885648 -3.2810954 -0.88798179
#> 8 -0.5387000 0.48848876 0.4754533 -0.5258551 -0.3048366 1.11684750
#> 9 -0.7706378 2.86446230 1.2936941 1.0624459 1.7615722 -0.59230632
#> 10 -1.0865318 2.18041419 1.3546707 1.9961373 3.1305735 -1.40966588
#> 11 -1.1115948 2.25345836 1.1052898 2.1501088 1.6939749 0.11278431
#> 12 -1.0815591 4.48484290 1.1737874 0.3361850 -1.2301605 0.55034700
#> 13 -0.4705849 4.40060373 2.1716159 -1.4515613 -2.1671048 -0.15992324
#> 14 1.0582973 3.43758167 2.7160768 -1.2945239 -2.9231939 0.75797201
#> 15 -0.5146646 2.30815758 3.2743696 -0.2430754 -0.9853225 -0.12704422
#> 16 -1.7895022 2.97505140 3.7494645 -0.5960822 1.0814649 -0.78152118
#> 17 -1.7253402 1.90813983 2.6385374 -1.4131699 0.8929583 1.41286865
#> 18 -2.9922502 -0.03714929 1.8402899 -0.9125111 -0.5746813 1.26538037
#> 19 -0.7515273 1.55480466 1.6055766 0.1936569 0.3570392 -0.46921007
#> 20 3.0173453 1.45931792 1.0940147 -0.2685811 3.2984303 -1.65691626
#> 21 4.0154883 0.42269341 -1.9005658 0.5576978 4.8718449 -1.81780886
#> 22 2.1513951 -0.64639502 -3.3612017 0.5870503 3.0855493 -0.02921163
#> 23 1.7413855 -2.21871435 -1.0549257 -1.6035350 -0.6111991 3.12877216
#> 24 2.9599005 -3.15881358 -1.9379533 -0.8620808 -1.6739655 3.59515278
#> 25 2.4292112 -4.05562267 -4.1943923 0.1290209 -0.2910391 0.85982797
#> 26 0.7297204 -4.31199814 -3.3817983 -1.6809055 0.5473328 -0.73344244
#> 27 -1.9399742 -3.96977698 -0.9445575 -0.8787931 0.8446156 -0.06763016
#> 28 -2.0352223 -3.87569668 2.3425026 1.5749841 2.2459272 1.30937902
#> 29 -0.6496191 -4.11358831 3.9208338 1.3773131 3.1423036 1.83327034
#> 30 1.0558541 -5.14755582 2.9435539 -0.7529664 3.5162277 3.25569830
#> 31 3.2527797 -5.51351998 2.9435005 -0.4088949 2.1898689 6.39353330
#> 32 3.3589835 -5.02976168 4.2191974 0.9096115 1.1898245 7.70153395
#> 33 2.0312208 -5.32724187 5.1876067 -1.6174193 1.2033267 6.14280885
#> 34 -0.1209388 -5.07613319 6.1039978 -2.5099068 1.1194867 3.81511567
#> 35 -0.8855927 -4.68477213 8.4139033 -1.5633457 1.7039324 3.55981642
#> 36 -1.3057367 -1.65254973 9.4893783 -0.7247795 2.7858996 3.96146137
#> 37 -4.3510648 2.17153435 7.9230414 -0.5588380 4.6592843 2.34478073
#> 38 -4.6461533 1.86970109 6.8028004 -0.8311110 5.0668650 1.09790003
#> 39 -2.8266390 -0.17382779 6.6496292 -1.0386003 4.7962435 1.44358827
#> 40 -2.6159673 -0.75822759 7.8202814 -0.3606056 3.5899032 1.74678179
#> 41 -1.4535788 -0.51297683 6.8294340 0.5194514 1.0898680 0.68064049
#> 42 0.3640707 1.03319655 4.3177800 -0.5924252 0.7351477 -0.74040645
#> 43 -0.7312373 2.87285054 4.5108329 -1.0261410 -0.5065523 -0.83492126
#> 44 -0.5047310 4.52539594 4.0046060 -1.3856799 -2.6176687 0.64832709
#> 45 -0.2586961 5.53488741 3.6441683 -2.0229858 0.7413933 1.42573276
#> 46 -1.7833538 5.31304041 5.0396187 -1.9023999 4.0995967 0.48812577
#> 47 -0.2716409 4.53492488 6.5540071 -1.2518679 1.9061580 -1.26068625
#> 48 2.0478093 0.93792909 6.5615807 -2.2663332 -1.7879117 -1.87512897
#> 49 3.5796174 -0.66153381 3.9297657 -1.8963225 -2.1156162 -1.87674768
#> 50 2.0839459 0.55644151 3.3937035 0.7735826 -1.8910171 -2.95833100
#> state12 state13 state14 state15 state16 state17
#> 1 -0.05469091 0.3015784 -2.30647972 -4.64924921 0.45122367 1.7467729
#> 2 -0.73787888 0.6708354 -0.08289296 -3.75378728 0.94003762 3.2062272
#> 3 -2.63619238 0.4852857 1.88272405 -2.12457398 0.49041488 3.9631832
#> 4 -6.41126684 0.6769206 1.94333109 -1.21097179 0.92876144 3.5004086
#> 5 -8.86134801 2.5683346 1.88977626 -2.67471795 2.22178911 3.1174133
#> 6 -8.59844677 4.0083253 1.25798110 -4.56690245 6.02691084 4.6480904
#> 7 -6.01230858 1.7647057 -0.74718427 -5.04533301 5.88492763 5.3416195
#> 8 -2.60495175 -0.9215662 -2.59649618 -3.26123784 2.11064623 4.1559917
#> 9 -2.19747961 -1.1077442 -2.94012632 -2.12600029 1.63333833 2.3582297
#> 10 -1.18076955 -0.1873512 -2.32264028 -2.47280009 1.74888293 2.6810132
#> 11 -0.06059714 -1.2152418 -3.10838029 -0.23496456 0.53611257 4.0105879
#> 12 -0.46471579 -2.7332790 -4.06995842 0.59040505 0.91822688 3.9864155
#> 13 0.02797149 -2.2446383 -2.64552185 -1.34945288 1.49152572 2.2130081
#> 14 -0.35705550 -0.2597581 -3.26603484 -1.48486324 2.59450825 0.7556880
#> 15 -0.68088401 1.2352552 -3.86610573 -0.49865077 4.73892978 -0.1564006
#> 16 0.49468857 1.8268860 -1.71891696 0.54243283 5.10629184 -1.7891947
#> 17 -0.42577097 2.7305987 -1.17704175 1.18013255 5.12148721 -3.2148466
#> 18 -1.56605501 3.4491560 -1.14191748 -0.66039065 3.81887259 -3.8105856
#> 19 -2.85683077 2.6788539 -2.85629924 -2.27692447 2.35253958 -2.8819347
#> 20 -3.32613202 1.9147407 -5.36498446 -2.11900263 1.15372256 -2.2974040
#> 21 -1.25549541 1.1615636 -5.81997802 -1.02389792 -0.59236930 -2.7514663
#> 22 1.58816044 0.3622439 -4.94578392 0.82998852 -1.26863038 -3.3673301
#> 23 1.98739610 -0.9118171 -2.36722854 1.81763079 -3.51358200 -3.5781636
#> 24 1.47103639 -0.9558217 0.12911617 0.85394291 -4.02144195 -2.5438977
#> 25 3.38282627 -0.5311123 0.21206059 0.17459984 -2.09139286 -2.6759193
#> 26 4.93290852 -1.9658200 0.48257003 0.93690654 -1.54657712 -3.0828985
#> 27 3.48769966 -2.1075134 0.82866208 1.25958760 -0.95185691 -1.5268952
#> 28 1.48833398 0.2056480 -1.37564831 2.18306805 -0.27956542 0.3780160
#> 29 0.95575955 2.6156982 -2.23564759 4.94914236 -1.99140101 2.1816521
#> 30 0.86537819 2.4619242 -1.53445498 5.91055849 -2.20839491 3.1796245
#> 31 -0.52744319 2.8777229 -1.43776493 5.07879970 -0.09971761 4.0788549
#> 32 -0.70640182 2.3466715 -1.93342184 4.28996322 1.60560159 3.1684000
#> 33 -0.89408440 1.6401257 -1.75033171 4.30371423 3.98085117 -0.1713574
#> 34 -2.73469507 3.0285322 -0.96779765 3.08070249 3.53121985 -2.7500841
#> 35 -2.81552762 3.3798610 0.10367386 2.05844681 1.45245969 -5.0813993
#> 36 -3.03500362 1.5095525 -2.51459796 2.60606042 1.02993986 -7.0548771
#> 37 -1.84939322 0.3698769 -4.47488520 3.05739699 1.95323998 -6.2865960
#> 38 -0.27525534 -0.3412872 -3.35484763 2.52737726 3.71889809 -3.5944408
#> 39 -0.71658796 -1.7108768 -1.40435527 0.84989470 5.02687374 -2.0392006
#> 40 -0.37614741 -2.2215299 -0.02563802 -0.32775382 4.84597544 -1.6698656
#> 41 1.67681774 -2.4225334 -0.75482680 -0.31112809 2.64333200 -1.2963683
#> 42 3.23104841 -2.2990898 0.15399506 -0.43796005 1.97827193 -1.2292233
#> 43 2.69272811 -2.4026356 1.20622812 -2.53418964 1.80401928 -0.9503100
#> 44 1.79729088 -4.3092378 2.78814543 -3.33327963 2.20726478 -1.4836391
#> 45 1.42339581 -4.5578207 3.28956213 -1.77806789 2.64576210 -2.0216713
#> 46 1.87871306 -4.0779895 2.62219311 0.25852905 0.91050731 -1.5954484
#> 47 2.62847437 -3.7809251 2.56718888 0.03827131 0.31017378 -2.1367686
#> 48 2.02870854 -2.9530178 1.96276331 -1.59328818 -0.26234404 -2.1366509
#> 49 0.94001925 -2.2277944 0.38391352 -1.81726213 -1.32728564 0.2924049
#> 50 -0.18849366 -2.6535705 -2.36732423 -0.41555547 -2.36419950 2.2998561
#> state18 state19 state20 state21 state22 state23
#> 1 0.19499927 0.358097268 3.08131847 -2.1168132 1.83571929 0.50620948
#> 2 -2.05108400 0.995139466 2.39309096 -2.2997767 -1.87745079 -0.84565056
#> 3 -2.47450185 -1.788050832 2.29500894 -1.4455096 -1.11515047 -0.28775691
#> 4 -3.41645687 -4.077974595 1.99702667 1.9672443 0.71820263 -1.03249028
#> 5 -2.16982861 -2.079775351 1.76871080 3.6208087 -0.47114627 -1.40018422
#> 6 0.18288981 0.121504676 0.91058546 1.7905346 -2.62699216 -2.61240655
#> 7 0.29485353 -1.319594219 -0.09785110 -2.0164040 -3.17472387 -3.71949431
#> 8 0.46662229 -3.193608470 0.32986716 -1.9297474 -2.54742408 -1.95853967
#> 9 0.13073435 -2.914552550 0.58884435 -1.2196368 -3.24339287 -0.59148126
#> 10 0.70661713 -1.722275768 1.27086562 -2.6304738 -4.45963726 -1.75389261
#> 11 2.57624873 -1.154809786 2.53378442 -1.5559183 -3.60857865 -3.34523976
#> 12 4.00613359 -1.879114550 4.46939810 -0.9030719 -2.62389408 -1.84168608
#> 13 3.95155706 0.494651849 4.34506886 -0.5456403 -3.76104580 -0.69890935
#> 14 1.64294407 3.858061709 0.68958566 -0.6706959 -4.64329973 -0.74752147
#> 15 -0.01491314 3.300432381 0.05247086 -0.4744316 -3.89901190 0.25193477
#> 16 -0.21016818 2.658806281 0.23448821 -0.7842577 -2.58360735 0.50424385
#> 17 -0.51298061 1.174375466 -1.19789725 -2.4735560 -0.74796370 -0.41407771
#> 18 2.22683348 1.340392094 -0.03515300 -0.4713846 0.45572203 -0.10379809
#> 19 3.44825551 2.671274493 1.30634403 0.2534051 0.53857678 -0.02469221
#> 20 0.77387706 2.514841796 2.15374139 -3.3337786 1.92282693 -0.34054026
#> 21 0.11259087 2.590102544 3.56079409 -5.2493170 0.50266808 -0.10317435
#> 22 1.67586010 2.019398368 5.29345982 -4.9835630 -3.71682172 -1.57703536
#> 23 2.50192523 0.927977953 6.95192641 -4.8500072 -5.53028355 -1.00922430
#> 24 0.37653699 0.353714873 5.40424508 -4.0899778 -4.99226264 -1.00880159
#> 25 -2.23182652 -1.060365660 2.63882675 -4.4720947 -3.17961914 -2.48422076
#> 26 -2.52085473 -2.432136439 1.73044274 -4.5306503 -2.09288962 -2.00574616
#> 27 -1.66739156 -2.332020324 1.75388463 -2.9495431 -1.27002217 -2.60475745
#> 28 -0.17479914 -0.820890098 1.31097517 -1.6827330 0.35099251 -3.54250500
#> 29 -0.13077981 0.497576464 1.65427714 -0.2300945 3.02109452 -4.51252020
#> 30 -1.96179394 -1.858635268 3.27645515 -0.6333868 3.44750229 -5.82691442
#> 31 -2.95873570 -3.639752114 3.40336466 0.9214698 2.51922973 -6.47947910
#> 32 -2.80758435 -3.094565005 1.46283055 5.2527345 2.22015779 -5.88400991
#> 33 -3.60095587 -1.077347448 -1.02385278 8.2009003 1.32775708 -4.64419352
#> 34 -4.36002740 0.468374426 -1.40858936 8.6010470 2.03520998 -4.00633316
#> 35 -3.29038739 -0.158974143 -0.25572376 6.5660281 3.05479104 -5.54788181
#> 36 -2.86817066 -1.614194473 0.04956268 2.9037265 2.68921575 -6.73292461
#> 37 -2.86056438 -2.321154486 -1.18485879 0.5387252 0.99567684 -5.21222475
#> 38 -3.51552003 -0.927053610 -2.68698629 0.9024530 -0.46016086 -3.70565169
#> 39 -4.81097066 -0.387387006 -4.06888927 1.9636787 -1.12208143 -1.13766112
#> 40 -5.69044903 0.003374311 -3.95706083 4.2213930 -2.17649358 0.72292615
#> 41 -4.94703973 0.185222923 -3.97087124 4.9031082 -4.42301736 -0.05343848
#> 42 -2.65171355 -1.145696625 -4.44883091 4.4439047 -6.23368075 -1.00987216
#> 43 -0.42781415 -2.567587685 -3.14315086 4.6535623 -5.41461170 -0.93978329
#> 44 1.22016856 -2.287281866 -1.54426000 2.8855041 -4.40100646 0.02162884
#> 45 0.62098674 -0.171377974 -1.37678282 1.0016272 -2.89813255 0.26185417
#> 46 -0.54236753 0.325592493 -3.14818784 0.1780170 0.04755593 0.77226599
#> 47 0.05347651 0.287204656 -3.41259104 0.8694256 1.18473304 -0.24599927
#> 48 0.96469957 1.089371351 -3.82557542 1.4537190 2.09147327 -2.23662847
#> 49 0.26138977 0.666438436 -3.88054245 1.1362773 2.74026944 -2.06257928
#> 50 -0.38191918 1.038366248 -3.43739767 0.8643780 2.30688909 -2.20616987
#> state24 state25 state26 state27 state28 state29
#> 1 -4.7683614 0.8987155 -2.16375412 -0.363062654 0.57356946 1.29738830
#> 2 -2.8912040 0.3792985 -1.60215182 0.642357904 -0.10234915 1.72980389
#> 3 0.2207401 1.9080754 0.36318940 0.670070658 -0.84717161 1.27369919
#> 4 -0.4241693 1.7016292 1.56360779 0.775646156 0.07055651 0.51570368
#> 5 -1.8574688 -0.9037049 2.96545506 -0.238441195 2.64299248 -1.05523092
#> 6 -2.6547383 -3.7249977 3.17845530 -1.627805411 3.20305449 -4.05720771
#> 7 -2.8613751 -5.9059816 2.59732956 -1.356470523 2.20804224 -5.61009900
#> 8 -1.5412959 -7.1698576 -0.01622275 0.209722039 3.84945864 -5.14860217
#> 9 -0.3857932 -5.7749231 -1.31694878 0.156267077 4.40363594 -5.02032117
#> 10 2.6159872 -5.8522468 -0.86510317 0.699334413 4.59766526 -4.86380080
#> 11 4.0759823 -5.7025585 0.39965139 3.050710573 6.31808926 -5.37836856
#> 12 2.3104402 -3.1831027 -0.07467211 5.679617098 6.79952330 -3.52516790
#> 13 0.6100724 -4.0534569 -1.39479994 6.000624748 6.80732451 1.49852745
#> 14 0.8061338 -4.2129758 -0.99054447 4.858148229 5.68500530 2.77820426
#> 15 1.3664644 -2.1041584 -1.12499145 3.454119420 4.04462796 2.54014189
#> 16 2.8722489 1.1120079 -2.01112239 1.972086827 3.48918880 2.38228010
#> 17 4.0120117 2.7675666 -1.53442395 0.139910657 4.24940197 1.90292375
#> 18 3.6530295 1.0657972 -0.53029174 -0.425690852 5.93306993 2.84329666
#> 19 4.3298613 1.0187822 -0.65006830 0.810813648 4.12258479 1.10018339
#> 20 2.0353253 1.2866373 -0.49139089 1.450508936 1.29024655 0.37011576
#> 21 -1.4843871 -0.2303428 -0.23384597 2.288077861 3.00509782 0.19566935
#> 22 -1.9219360 -0.5708499 -1.14109318 3.056699196 3.21908938 -0.09828335
#> 23 -1.0094736 1.5294365 -0.61732570 2.552616563 1.06800916 0.69380114
#> 24 0.4058834 2.5891412 1.71150014 1.384466745 -0.35085310 -0.40668082
#> 25 2.6712400 1.9201383 2.49449651 0.632703794 -0.85938848 0.08108718
#> 26 2.6782066 1.2137211 2.31035581 0.002436192 -0.92617502 1.44949046
#> 27 1.1543490 2.2397884 1.84759740 0.530986433 -0.46287930 3.31334728
#> 28 -0.6447449 3.7013420 0.89962435 -0.756503223 -1.17986898 3.33030801
#> 29 0.5314817 4.5007070 1.24424057 -0.914401673 -3.80971545 0.74788799
#> 30 1.9300452 2.0869735 1.61166459 0.925939085 -2.84726100 0.46546235
#> 31 2.2173355 -2.6418538 1.77409275 2.173161856 0.62454050 -0.02200456
#> 32 4.2361087 -3.4202262 2.08271399 3.346568532 0.57010922 -1.48789251
#> 33 3.5956429 -0.6966130 2.35045187 2.817755139 -0.82322272 -1.82203425
#> 34 0.8815383 -0.5535705 1.88500156 1.777649274 0.64402871 -1.94764066
#> 35 0.9708597 -3.2670651 -0.77602555 0.770722970 3.69300369 0.75963024
#> 36 3.4193568 -1.9764905 -1.38997262 -0.930192714 5.80178106 1.80702911
#> 37 5.0118933 0.1724987 -1.49764754 -0.523735151 5.71187851 -0.33857919
#> 38 5.2721419 -0.7185346 -0.72894620 -0.575269168 3.40233057 -1.17596315
#> 39 3.0784854 -1.5762988 1.45059083 -1.343249397 -0.05776577 -1.64302189
#> 40 1.1010824 -1.2009392 1.26791889 -1.563345057 -0.63611746 -0.87333232
#> 41 1.1121647 0.5256319 1.51529604 -2.020821789 0.09924616 -2.25603247
#> 42 0.5379826 0.5798794 1.50573503 -1.202883483 0.46412621 -3.90100123
#> 43 1.4228230 -0.9662800 0.14418662 -0.134507464 1.43568682 -2.42230442
#> 44 2.5227551 -0.3341582 -1.28824179 0.664546781 2.53146458 -1.12599486
#> 45 2.3466909 2.1343431 -0.91839478 -0.845787536 3.36878665 -0.96599136
#> 46 3.5062581 2.9872497 0.30562203 -2.266008759 2.67112775 -0.87933199
#> 47 3.6465324 0.7730803 0.55073802 -2.322333660 2.52155045 1.60472102
#> 48 2.1063361 -2.2938108 2.09463881 -0.407553658 3.08439382 3.40109620
#> 49 0.9084975 -2.2587872 3.25409931 1.492772690 2.63453963 2.05375752
#> 50 -0.6772878 -0.1551558 2.35215404 0.415654838 1.02707277 0.75922234
#> state30 state31 state32 state33 state34 state35
#> 1 -0.19763670 -2.293478701 3.3965041 -1.1208551 -0.89226607 -0.296103953
#> 2 1.08287732 0.160822756 2.7280979 -2.2808679 -1.76694674 -0.962911374
#> 3 -0.07349476 1.262503428 0.9062102 -1.4539729 0.55517400 -0.229342933
#> 4 -2.35293675 0.641592188 0.8824735 -1.5399376 2.12207885 0.663650116
#> 5 -3.96154939 -1.733802745 1.3305504 -0.6053096 0.88803632 1.253166434
#> 6 -4.07599823 -3.469132793 0.6342425 -0.3413106 0.46757424 2.928521406
#> 7 -4.67172449 -2.646279503 -0.9867930 -0.4722614 2.03931801 0.812475540
#> 8 -4.95439705 -2.395298558 -1.2299511 1.5470136 2.61267240 -0.243176630
#> 9 -4.21268125 -0.304304812 -0.3457003 2.9186470 0.26452607 1.829782437
#> 10 -4.33785089 3.519118395 -0.6330503 2.9896248 -2.17101955 2.989457418
#> 11 -6.71781321 3.403407026 -1.3744438 2.7195556 -3.05066675 1.457920708
#> 12 -8.48824289 0.913055496 -1.8664681 4.1264103 -3.30265388 -1.537661668
#> 13 -7.82218295 0.710640739 -1.5197467 6.6724437 -2.99523748 -3.485826210
#> 14 -4.34346105 1.669167645 -0.3030892 6.8851858 -3.44518409 -3.039469105
#> 15 -2.78455200 0.814014246 0.5236319 4.7975255 -3.17973172 -1.412492013
#> 16 -3.67473740 -1.057168798 0.3851173 2.3665182 -2.68870529 -2.022181281
#> 17 -1.34906789 -1.287366112 -0.7204474 1.9098494 -3.03110785 0.282069743
#> 18 -1.29997390 -2.618497549 -2.2808129 1.4277904 -3.64774499 2.304168457
#> 19 -2.21706376 -4.943952162 -3.3419904 0.2529964 -4.54330251 0.750648805
#> 20 -1.20268447 -4.986365832 -3.7208542 1.8436990 -3.58020983 0.468667788
#> 21 -3.18137312 -3.347849129 -3.1404382 5.6265067 -1.77231420 2.202632705
#> 22 -4.16388919 -1.173755269 -4.1154798 7.4974352 0.06198753 2.301097613
#> 23 -2.79796966 0.129099855 -3.8446487 6.6599397 3.33987337 2.584326398
#> 24 -0.71364488 -0.859547928 -0.7321189 4.8879640 6.06347251 3.989202446
#> 25 0.32323822 -2.620396172 1.6230741 1.0021775 5.06721084 4.113106540
#> 26 -0.35808901 -3.731287830 1.1378055 -1.8868265 2.34304016 3.915536440
#> 27 -1.31982061 -2.749552479 -1.3530393 -1.5158040 -0.73276388 3.293648375
#> 28 -3.23326458 -1.890034397 -3.0359748 -1.4634682 -2.13205076 1.835902016
#> 29 -3.57309078 -1.761633623 -5.1654531 -2.6412233 -4.27943207 -0.693528148
#> 30 -1.58484392 -0.498959513 -5.8567534 -3.0011328 -5.52881112 -0.956914715
#> 31 -0.75149792 -2.187067493 -3.9711713 -4.9755982 -2.72858645 1.345235248
#> 32 -0.09045863 -3.928198206 -1.7613317 -7.2424432 -0.70985533 2.855981214
#> 33 0.71219732 -1.402404184 0.2619336 -6.6605706 0.17163350 1.506205430
#> 34 -0.27596284 2.106632997 0.4846843 -5.3309587 -0.72053940 0.161470164
#> 35 -1.35474542 3.003240154 -1.8691576 -4.7010229 -2.26234348 0.001687402
#> 36 -2.01028986 3.292206651 -2.7942488 -3.0563918 -1.40364543 -1.100604695
#> 37 -2.80547860 3.593161931 -0.9632207 -1.4012102 0.34885076 -2.966312902
#> 38 -4.06016012 2.080346541 1.0127439 -2.1900878 -1.34370425 -3.749097945
#> 39 -4.55541426 1.471757042 0.9767442 -1.6818600 -2.79373668 -1.486047600
#> 40 -2.35814058 0.578970102 -0.1812501 -1.1448396 -3.44305417 -0.009784431
#> 41 0.82774839 0.347470201 -0.2284318 -1.4494152 -3.45262530 -1.252547428
#> 42 0.47322824 0.008271869 1.6888330 0.2137450 -2.67583421 -1.774280111
#> 43 -0.82931071 0.305908364 0.6672258 0.6316305 -1.74628675 -2.783548318
#> 44 -2.36897353 3.336076856 -1.3474208 -0.8096455 0.39233475 -2.622969715
#> 45 -4.37199964 5.279183967 -1.4080744 -2.1288101 1.41413675 -0.542885986
#> 46 -2.66010880 4.017306352 -1.5969491 -3.9153022 2.54106297 0.495338629
#> 47 -2.23820960 3.107788380 -1.1765019 -4.0096689 2.75421922 -0.185417822
#> 48 -2.55634234 2.005030852 -0.1883766 -2.6697599 2.56370661 -1.739810969
#> 49 -2.78112317 -0.533137421 0.4505637 -1.0191058 2.42382317 -2.330398757
#> 50 -2.47438152 -1.146798353 -1.7798297 1.8071713 1.19821286 -3.413229755
#> state36 state37 state38 state39 state40 state41
#> 1 4.5318092103 3.09723080 0.92873069 1.19248029 -0.85877898 2.116510400
#> 2 5.2057912456 1.65252668 0.35350847 2.30364728 0.26038453 1.406382374
#> 3 3.0062928766 -0.19446154 2.78601340 2.20383470 -0.08443651 -0.844181517
#> 4 2.1582792767 -0.36239500 3.51132574 1.13620454 -0.11380223 -2.903202972
#> 5 3.8245136367 0.14731191 2.49759706 0.04392027 0.41340187 -2.297194064
#> 6 4.8299370924 0.72093555 3.23957289 -0.76951247 1.10563672 -1.414468223
#> 7 5.1300005246 1.04429864 2.36924910 1.16043107 0.55703883 -0.898526965
#> 8 3.2035720977 0.94003875 0.31036216 0.68076352 1.72102191 -0.132604833
#> 9 1.0109079061 0.64190464 -0.47022324 -1.96743205 3.77179401 1.006637511
#> 10 0.2930257228 0.39325523 -1.58273232 -0.65011767 2.34471203 1.319808087
#> 11 -0.0003217831 -0.98377883 -1.59940351 0.78296933 0.69614266 2.544920676
#> 12 -0.2045608787 -1.53426849 -0.54496525 1.77742281 -0.72981370 4.549361744
#> 13 -2.4972400128 0.01529885 -0.36557435 2.00779235 -1.51706244 2.873000750
#> 14 -3.6365158953 0.95315188 0.03901117 1.34544370 -0.68508769 -0.057720511
#> 15 -3.6992931178 0.24659996 1.18075231 0.94900134 1.12088642 -2.590947222
#> 16 -4.8723276255 -0.57793040 3.35007920 -1.68463294 1.61922372 -4.577828281
#> 17 -5.2822349716 -0.25882771 4.37700646 -5.60568846 0.85041631 -3.049666889
#> 18 -3.0122967142 1.04435813 2.55659878 -4.38036383 1.01402398 -0.141961991
#> 19 -0.3771547663 -0.64411924 2.40392807 -0.11281401 2.21744194 2.330042690
#> 20 -0.8282120357 -2.51893670 2.40662208 2.99936252 1.91118507 2.257308286
#> 21 -1.7590494300 0.32232067 1.41107367 1.97797963 1.34650941 -0.348607143
#> 22 -1.5970864366 0.19940565 1.19039496 0.19636228 3.04964001 -2.909562481
#> 23 -1.5098531743 -2.43259268 0.69469829 1.24766998 4.05751402 -3.971079246
#> 24 -0.7876593468 -2.11463970 0.17763105 1.04498904 4.04759050 -2.548230693
#> 25 1.3164759650 -0.09456975 0.24326557 -1.13027637 4.24881008 -1.308480616
#> 26 3.0869607356 0.68991913 1.36500050 -0.69043672 4.97343664 -0.909006555
#> 27 1.3278818474 1.42177360 2.23525430 2.41764607 4.11002167 0.017534618
#> 28 -1.3808804386 3.35380409 2.09958968 4.19543093 1.76742383 -0.942438344
#> 29 -0.0563143235 4.98697835 1.13108402 4.60936941 0.23296034 -2.539010113
#> 30 1.9940663837 6.11828142 1.59319705 3.46310696 -0.62447502 -4.696685239
#> 31 2.0528016227 5.09143998 1.81161297 3.24586340 0.76791207 -5.061487932
#> 32 0.3309812215 2.62883379 1.17707300 3.01521778 2.15704871 -3.776629459
#> 33 0.0901287475 1.22900967 -0.87992605 1.78361643 3.04001070 -3.078458053
#> 34 1.9634864343 0.70787435 -2.15780704 0.96211283 4.42554487 -2.267541682
#> 35 4.6502406986 -0.38836747 -1.28144466 1.98999393 3.67834410 -2.218191656
#> 36 4.8677012814 0.49545102 -0.95680146 3.06437722 2.45072347 -0.440377408
#> 37 2.4462820750 2.57629310 0.89962779 2.04983559 3.28564753 1.182623459
#> 38 1.4395456100 2.89281745 1.93426064 1.75217039 1.94475296 1.056158550
#> 39 0.8527435172 3.10113166 1.59385309 2.38049646 -1.17125366 0.811502359
#> 40 0.9153018929 1.01346274 1.49582629 2.91387975 -2.54862697 1.558590668
#> 41 0.6807110320 -2.20542378 0.30144729 1.93140184 -3.19356969 2.829998519
#> 42 1.3411287454 -2.99293928 -0.32522643 1.42595372 -1.36576634 4.173119128
#> 43 2.7471569763 -5.12676291 -1.18193739 2.34163322 1.00153081 2.655892535
#> 44 3.2073972086 -4.79244388 -2.13742445 2.45302873 -0.01643390 0.807078535
#> 45 2.2025540632 -0.92642680 -3.44261968 0.81433271 0.05989947 2.026963411
#> 46 0.6869465080 0.26978804 -2.40711212 1.24056660 2.26082261 0.687981519
#> 47 0.1235474699 -0.73145276 0.57781349 2.28441939 3.13763835 -1.766936562
#> 48 -0.4676608284 -1.87479071 1.17056896 1.03828016 2.66841322 -1.313469252
#> 49 -1.7729713435 -1.72300410 -0.17979076 0.89659521 0.70878939 -0.004328926
#> 50 -1.1214774776 -0.86789571 -1.16739105 -0.49069913 -0.62527177 1.980448424
#> state42 state43 state44 state45 state46 state47
#> 1 -0.351777920 -4.56814581 3.04648907 -0.4211408 1.059557292 5.4181592
#> 2 0.244890511 -4.04979249 1.83550839 1.7539167 0.003282320 3.4748360
#> 3 0.315712897 -2.52942846 1.42876634 2.7730746 -0.313957469 2.3491749
#> 4 2.459408548 -2.04096634 1.73611720 1.5748292 3.544402180 3.8723813
#> 5 1.569441194 -0.21817730 2.00469573 2.1194596 5.445130853 6.7075089
#> 6 1.013871952 0.65566532 4.83985675 1.0017332 4.699647896 7.8878139
#> 7 -0.099645811 -0.28814769 6.50673170 -1.5080354 5.386233619 7.2099180
#> 8 -3.200805518 -0.30460321 5.51093969 -0.6547817 5.672172336 6.1358660
#> 9 -4.745826927 0.82584744 3.73002297 -0.5094307 3.803558229 6.1417139
#> 10 -4.240711730 0.89689431 3.11492284 -1.6900248 1.291717691 4.8836816
#> 11 -3.000125940 -1.14951112 3.04824663 -2.2218199 0.600154948 4.0444501
#> 12 -4.032785364 -2.64765713 3.16940749 -3.9726650 0.707819370 3.9117566
#> 13 -3.399212813 -0.97739578 3.36313925 -2.4802023 2.094840752 4.5558741
#> 14 -1.382730683 -0.52350278 1.30140463 -1.4167086 2.972634424 4.5890166
#> 15 0.316916144 -3.86933603 0.44425339 -3.7473886 0.219834848 4.6428554
#> 16 0.530191198 -5.59863855 1.52611653 -4.8397610 -1.645099884 4.4921440
#> 17 0.167483611 -2.58649727 1.80800346 -3.4698051 -1.337109930 4.0920683
#> 18 -1.158640583 -2.76100379 3.54082877 -0.2299180 -1.090620887 4.1645664
#> 19 -3.181841901 -3.40511300 5.24251178 0.5126285 -0.848635154 0.8834245
#> 20 -2.495029968 -1.72614810 4.21981180 0.7863053 0.261272068 -1.5161237
#> 21 -1.272231572 -2.39994604 2.53158118 1.6908596 -0.180306073 -2.1486787
#> 22 -0.752302400 -1.34459477 2.55645574 1.1276855 -1.203639207 -2.3653473
#> 23 -0.831794401 0.27343497 3.11518773 1.7240922 -0.607069197 1.1867073
#> 24 -1.025587756 -0.69580924 3.06377931 3.5710384 -0.882922101 4.0364179
#> 25 0.657071149 -1.17608629 1.59979595 5.1435674 -1.765383285 4.7532685
#> 26 2.112598493 0.92523425 1.47354229 2.3310981 -1.108535055 4.5814196
#> 27 1.406954487 2.44665215 4.17796739 0.2023241 -0.382796174 1.9486858
#> 28 0.407377176 1.17581323 4.64025630 1.3665162 -1.615359539 1.8579993
#> 29 1.538349291 -0.33991167 4.23919503 -0.3020642 -2.077456458 3.0125679
#> 30 1.626811470 0.89108059 4.78694407 -1.0754566 0.899298601 3.2873554
#> 31 -0.697558302 4.36506898 4.06553321 0.8781269 1.889481684 2.3711576
#> 32 0.455191121 4.52081504 2.84166857 1.0175289 0.980047883 0.1703324
#> 33 2.549046871 1.95947012 2.44067773 0.7102716 0.514463172 -1.5841292
#> 34 3.209900630 1.89354894 4.20747436 -0.2796556 -0.579748955 -1.5606650
#> 35 3.471311742 2.88457502 3.77534286 -0.4822475 0.033482510 -0.6188072
#> 36 3.146115251 3.07573205 1.29724158 1.0348198 2.355274562 -2.0573236
#> 37 1.437375254 3.31806356 0.65724425 1.0761097 4.186849539 -3.5596194
#> 38 -0.007064239 2.18545946 1.28292647 0.8329594 3.402588706 -4.3573257
#> 39 -0.450028198 -0.08431309 1.89880132 0.3857810 3.201287865 -5.5007733
#> 40 -2.708265513 -0.16113260 0.37782494 1.2830166 1.925358639 -3.6184689
#> 41 -3.458990655 2.03395535 0.68629702 1.9148735 0.004145527 -1.6409836
#> 42 -1.439201435 2.95017438 2.85477903 0.2087331 -0.493380469 -1.0343092
#> 43 0.714695752 1.84338415 1.67840804 -1.2823890 -1.097964899 -0.2096648
#> 44 0.776148153 2.13075605 1.03027150 -0.8539358 -1.258689661 -0.7878885
#> 45 0.025541581 1.85322072 2.64945297 -0.4129255 -2.028245024 -1.0231434
#> 46 -1.669413513 -0.68337028 2.50054171 0.5492587 -2.000040678 -0.5622784
#> 47 -2.611372942 -0.86930586 3.83326667 3.2242132 -0.353821202 -0.6253277
#> 48 -1.131328003 0.98895819 5.11982815 3.4571122 -0.824796963 0.4896308
#> 49 -0.273510944 1.79820858 2.84754007 0.3430256 -1.414419697 0.6304989
#> 50 -0.097294340 1.57036800 -0.03110999 -1.2433745 -1.034062310 -0.3153126
#> state48 state49 state50 prob action outcome signal
#> 1 2.7814463 2.9717115 3.61515913 0.5424591 0 7.59401524 -3.70377972
#> 2 2.2010167 3.4472916 2.92358592 0.6122861 0 13.75576206 -2.51766069
#> 3 0.1422593 2.9018909 2.55004270 0.6652956 1 14.52578863 -2.76789547
#> 4 -1.2446175 0.9876205 3.55408077 0.4098444 0 17.11406140 -2.93671537
#> 5 -1.2116368 2.0353355 3.16349774 0.5863083 1 5.19408486 -4.11616813
#> 6 -0.1305774 2.3334674 4.03904294 0.3012961 0 2.51426511 -4.52047787
#> 7 0.1210236 1.8032632 6.03426165 0.4258415 0 -5.59982021 -3.89686884
#> 8 2.2357800 2.5127247 5.19420020 0.4479516 0 -5.95967340 -3.87676803
#> 9 1.4762149 3.4928563 2.52888199 0.5335589 0 -1.03689595 -0.48280592
#> 10 -2.1475666 4.0702519 -1.13141601 0.5529365 1 3.59760845 2.32126025
#> 11 -3.1590934 3.8950833 -3.70334822 0.3077989 1 7.25969524 2.62440428
#> 12 -3.4332864 2.6107949 -4.31405412 0.2751794 0 -1.32448263 3.47510578
#> 13 -4.7832292 2.9669554 -4.22919714 0.5489459 1 4.97238413 6.15080573
#> 14 -6.2117621 3.4343758 -3.33152141 0.3385893 1 9.44953808 7.38242438
#> 15 -5.4732177 2.2942421 -1.08162957 0.3115221 0 1.15226341 6.01355583
#> 16 -2.3028615 3.5773738 0.65682694 0.5290952 0 -4.97601313 3.58019075
#> 17 -0.9811068 4.9139180 0.80845540 0.5123629 1 -1.52740496 -0.51644022
#> 18 -1.0449212 4.1976064 0.28573040 0.2986480 0 -1.53468649 -3.37049940
#> 19 -0.8284510 2.1798076 0.58379403 0.5126030 1 1.22157796 -3.38587114
#> 20 -0.5754439 0.8502093 0.30734380 0.2238221 1 -5.73474984 -4.18030038
#> 21 0.1252142 -0.4764977 -0.46500019 0.1886206 0 -4.87950939 -7.36225318
#> 22 -0.5435165 -1.1428441 -0.48360363 0.3612481 0 -8.80356382 -7.89063872
#> 23 -0.1250371 -1.9220577 -2.07808670 0.4546758 1 -8.50508713 -4.06231923
#> 24 2.2747574 -4.3424038 -2.09279938 0.3167025 0 11.23046763 -1.37228734
#> 25 3.7312151 -3.3142142 -0.14449116 0.5764233 0 10.24785417 -0.46838655
#> 26 3.5258000 0.8178550 -1.33711540 0.6017551 1 10.27654158 1.05368620
#> 27 3.0540808 1.6061764 -1.18364728 0.4155726 0 17.05141597 3.29716425
#> 28 1.7819699 2.1518164 0.42349762 0.6548829 1 20.42526262 3.52561840
#> 29 -0.4123771 3.9336152 -0.18216256 0.3818307 0 13.31162880 2.14923974
#> 30 -1.7873917 2.7748499 -0.70156254 0.6412939 1 15.13774186 1.93653066
#> 31 -3.2562407 1.1585919 -1.27747674 0.4299921 1 17.92168154 -1.01922085
#> 32 -4.1538814 1.5992714 -1.70064245 0.4364317 0 19.17090332 -3.55770814
#> 33 -2.3601268 2.5202172 -0.83412948 0.6459349 1 13.46511293 -4.14260620
#> 34 1.1340646 1.9454186 1.17623777 0.3801163 0 14.63231045 -3.96743884
#> 35 1.0984966 1.9570957 2.19340463 0.6362238 1 11.74495724 -3.14716985
#> 36 0.3965931 1.4671798 1.99613857 0.4294439 0 16.42122110 -1.12761867
#> 37 2.2052753 0.3402847 0.87165622 0.6795880 1 14.26894434 0.07003118
#> 38 3.0821836 1.0563487 1.66219521 0.3121598 1 -0.01193276 -4.37360443
#> 39 1.4321063 0.5800170 3.18731066 0.2055455 0 -6.91909625 -6.70953210
#> 40 -1.4177360 -1.6464688 3.98436954 0.3948548 0 -10.07551513 -6.17516772
#> 41 -3.2796819 -1.8841515 4.02039869 0.3633959 0 -14.13490005 -6.92092681
#> 42 -4.9105220 -1.2146749 2.32758996 0.4031208 1 -13.73826955 -4.80601419
#> 43 -5.6554870 -0.2688177 0.22052313 0.2030294 0 -6.51493366 -1.91639165
#> 44 -2.7969254 0.7682163 -0.42622933 0.4425417 1 -7.79139275 -2.54689985
#> 45 -1.2186713 2.2127407 0.04691567 0.3257104 1 7.07195296 -3.73499028
#> 46 -3.4832489 3.5689068 -0.53313657 0.3539197 0 15.87560683 -3.48153456
#> 47 -3.7444709 3.3446687 -0.44270562 0.6098073 0 23.16299746 -3.38396114
#> 48 -3.4797733 4.4375205 -1.16410880 0.5836080 1 10.71064587 -2.32907999
#> 49 -2.2054061 3.7005340 -3.14843716 0.2603619 0 2.83431783 -1.25434197
#> 50 -0.2799870 1.2364228 -4.08541296 0.3591701 0 -11.55580386 -0.74823449
#> noise
#> 1 1.32870598
#> 2 0.79093081
#> 3 -1.72237990
#> 4 0.02567727
#> 5 -1.82121276
#> 6 -2.81939488
#> 7 0.21169205
#> 8 -2.47251700
#> 9 -4.65544060
#> 10 -2.75370183
#> 11 0.70382769
#> 12 -1.15567600
#> 13 -2.71227524
#> 14 -3.69359470
#> 15 -2.14905520
#> 16 -5.99456201
#> 17 -2.51211020
#> 18 -6.19766766
#> 19 1.61126981
#> 20 3.59816760
#> 21 5.20677804
#> 22 2.59473947
#> 23 -1.74491206
#> 24 5.02004322
#> 25 2.27517687
#> 26 -0.46267131
#> 27 1.94600337
#> 28 3.19419950
#> 29 1.17690441
#> 30 -0.08151885
#> 31 0.54972610
#> 32 -0.99037845
#> 33 -0.09858724
#> 34 0.35058880
#> 35 -1.08546230
#> 36 -1.96001769
#> 37 -4.55047630
#> 38 -2.25255784
#> 39 0.50150267
#> 40 -1.84005495
#> 41 -2.63356068
#> 42 -1.05770124
#> 43 2.28265372
#> 44 -0.60027281
#> 45 2.78169644
#> 46 4.68976604
#> 47 9.93687313
#> 48 3.24039234
#> 49 3.60994197
#> 50 2.64964822