Simulation functions for binomial, gaussian and poisson outcomes. The simulation equations follow Bai
sim_Bai(n, p, family = binomial(), dispersion = 1)Arguments
- n
Integer, sample size
- p
Integer, number of predictors. The minimum number of predictors is default to 4. If user input p<4, p changes to 4 with a warning message
- family
Family object, one of
binomial(default),gaussian,poisson. Please seefamilyfor more detail- dispersion
Double, required for gaussian distribution, match to sd parameter.
Value
a list contains dat, eta, mu
dat a numeric matrix, contains predictors
x1toxpwhere p is replaced by the integer value. The outcome variable is namedyetathe linear predictor of the simulated data
muthe mean of the simulated data
Details
![[Experimental]](figures/lifecycle-experimental.svg)
Examples
# Binomial Outcome
sim_Bai(100, 4)
#> $dat
#> x1 x2 x3 x4 y
#> [1,] 1.71527740 0.900485695 -0.12859619 2.954596222 0
#> [2,] 0.81863768 -0.485637127 1.90236135 0.527579006 1
#> [3,] 0.14137333 -0.139258394 -1.14347299 0.411368824 0
#> [4,] 1.13587630 -1.024610954 -0.50104605 0.726587202 0
#> [5,] 0.45832427 0.378110657 -1.67989462 0.053776797 0
#> [6,] 0.53544240 0.415417657 -1.29964628 0.191509046 0
#> [7,] 1.61171128 0.242903308 -0.27135450 -1.205431916 0
#> [8,] -0.21863405 2.473661034 0.19157329 0.112096478 0
#> [9,] -1.38782367 -1.434504475 -0.17065217 0.473153051 0
#> [10,] 1.34686451 -1.129912499 -1.29336775 0.826352343 0
#> [11,] 0.29029245 -1.388782881 -0.11949522 -0.825720016 1
#> [12,] 0.55881140 -1.033127343 0.56483052 1.303509461 0
#> [13,] -0.33733093 -1.525530688 1.91252004 -0.042764885 1
#> [14,] 0.44276823 -0.576574237 -0.94746352 1.207860420 0
#> [15,] -0.56443128 0.023948288 -0.80454830 0.051544857 0
#> [16,] 0.96875367 -1.009784592 -0.02012031 -1.737584836 0
#> [17,] -0.38902736 -1.970542551 0.39223840 0.409432781 0
#> [18,] 1.33240569 0.553287406 -1.35526399 0.836503863 0
#> [19,] 0.20116801 1.410024307 2.22129418 -0.280757640 1
#> [20,] -0.23845068 -1.233356566 0.67046235 0.364585047 1
#> [21,] -1.17004276 0.460352871 -0.10123860 1.151072447 0
#> [22,] 1.41928480 -0.409649828 -2.42037818 0.786507073 0
#> [23,] -0.91014616 0.992542311 0.28277724 -0.159704042 0
#> [24,] 1.44201516 0.073468933 -1.67237644 -1.370446449 0
#> [25,] 0.96631678 -0.584588367 0.32329570 1.261602994 0
#> [26,] 0.71437158 -1.792564325 -1.31478832 0.002463102 0
#> [27,] -0.59546914 1.337589052 -0.41893951 0.142409762 1
#> [28,] 1.16412963 -0.727779051 -0.85712123 -0.560252426 0
#> [29,] 0.29311478 1.055093984 -0.01549308 1.715164576 0
#> [30,] 1.49891630 0.703011471 1.37810908 1.137134563 1
#> [31,] -0.70591323 0.590532267 -0.28388922 -1.208850212 0
#> [32,] 0.67940442 1.352060851 -0.11676639 0.840337992 0
#> [33,] -2.72399290 1.358429419 0.14539765 0.640495624 1
#> [34,] -0.28910156 -2.119439507 0.92612115 -0.576763578 0
#> [35,] 0.93345971 0.714906306 -0.25479844 -0.042891318 0
#> [36,] 1.28891406 -1.461375447 -1.10669373 0.959738589 0
#> [37,] 1.46465291 0.702710039 -0.14236760 0.486316296 1
#> [38,] 1.31232474 -0.871134916 -0.09228526 1.484777411 0
#> [39,] 0.43560165 0.214870904 1.49807229 -0.794826006 1
#> [40,] -0.11714825 -1.102159317 -0.31310134 -0.667378460 0
#> [41,] 1.24218011 -0.349846691 1.35528586 0.827307131 1
#> [42,] 1.26230763 -0.497298213 -0.07805580 0.695453684 1
#> [43,] -0.13956093 -2.464628403 -0.21218869 0.634464850 0
#> [44,] -0.73903133 -2.245568213 -0.24847821 -2.349633198 0
#> [45,] -1.66274647 0.097371421 -1.64278943 -1.265363093 0
#> [46,] -0.63345417 1.355629908 -0.86506865 -0.744144346 0
#> [47,] 2.40600437 -0.806035006 0.20761947 -1.250594183 0
#> [48,] 0.21220243 0.213944341 1.40676562 0.320592462 1
#> [49,] -1.27115345 1.323912599 0.27805386 -0.055280901 0
#> [50,] -1.40898906 0.326702804 1.16812375 -0.237471357 1
#> [51,] -1.46560187 1.450341466 -1.36044300 0.152253857 0
#> [52,] 0.07814297 2.367816002 0.57862783 -1.140729887 0
#> [53,] -0.60079132 1.360530931 -0.68500878 -0.255576713 1
#> [54,] 1.29198378 -1.163638728 -0.26715999 -0.286638567 1
#> [55,] -1.26334282 -1.894184016 -0.23444947 0.944110165 0
#> [56,] -0.38006404 -0.939754723 0.72690098 -0.889442296 0
#> [57,] 0.54864260 0.620099705 -0.31171347 0.611393518 0
#> [58,] 0.10686500 -0.324183141 0.14448165 1.059672791 1
#> [59,] -0.05140532 0.753734490 -0.71272501 1.435658767 0
#> [60,] -0.98142017 0.280445690 -0.25781196 0.306983280 0
#> [61,] 0.75372419 0.960892061 0.89291679 -0.991995959 0
#> [62,] 0.49469559 0.940101333 -0.32666674 -0.438770245 0
#> [63,] 0.08648104 -0.586498743 0.53870298 -3.111583521 0
#> [64,] -1.67374981 -0.652063702 1.00965521 1.175125914 1
#> [65,] 0.93545350 0.341082166 1.52613399 0.129932538 1
#> [66,] 1.18929581 -0.262831753 0.47180182 1.108523435 0
#> [67,] 0.54130801 -1.486496548 -0.83540264 2.214191535 0
#> [68,] 0.43244102 -0.461054207 0.18194249 0.116278427 1
#> [69,] -0.10425155 0.169057269 -0.05171976 -0.902530835 0
#> [70,] -0.07559918 0.212178983 -0.44028911 0.108653251 0
#> [71,] -2.42564218 -0.186992181 -0.21345120 1.822167330 0
#> [72,] -1.35379805 -0.047717583 1.35671150 0.578811606 0
#> [73,] -0.34497645 0.671983611 1.32390986 -0.518886605 1
#> [74,] 1.55131580 0.471570243 -1.29509656 1.024788028 0
#> [75,] -1.16489953 -0.165783095 1.05484115 0.389574405 0
#> [76,] 0.89902018 0.254383005 0.46752239 1.007144681 0
#> [77,] 0.95102129 -0.052643607 0.81699963 1.501468074 0
#> [78,] -0.18353654 0.689757322 0.02829276 0.819361449 0
#> [79,] -1.73865030 1.775526777 1.16508918 0.673271321 1
#> [80,] 1.28072951 0.899697827 -0.15047576 -0.112416899 0
#> [81,] 1.19440826 -0.395239551 -0.67015261 0.481348739 1
#> [82,] -1.03691098 -1.028606372 0.69915446 1.788866577 0
#> [83,] 1.28144385 0.062870335 -0.78397758 0.639763086 0
#> [84,] 0.27063568 1.099425607 1.62455255 -0.365961226 1
#> [85,] -0.74739893 1.290576722 0.39026274 -0.852150223 1
#> [86,] 0.31680658 1.085028321 0.82577904 -0.139408700 1
#> [87,] 0.27631382 -1.372408460 -0.69023794 0.782633534 1
#> [88,] 0.04911997 0.788742951 -0.05469698 -0.756828423 0
#> [89,] 0.46876143 -0.405306765 -0.27048849 -0.081945463 1
#> [90,] -0.27107016 -0.882969203 -0.32378698 0.212201663 0
#> [91,] -0.29561819 1.619570118 -0.85292692 0.135492350 0
#> [92,] -1.15065376 0.667813469 -0.12139410 0.557885392 0
#> [93,] 2.38694847 -0.009996428 0.14243055 0.245682938 0
#> [94,] -2.27497659 0.594800173 -0.99698107 0.565760519 0
#> [95,] 1.17521254 -1.269405384 0.37724568 0.046293473 1
#> [96,] 0.97649960 -0.182311395 0.09786360 -1.949921332 0
#> [97,] 0.24563972 -0.490967553 0.11591142 0.005194811 1
#> [98,] -0.40533724 1.422050433 0.44147999 0.631648079 0
#> [99,] 0.71188508 -0.730796033 0.73535174 0.884587116 0
#> [100,] -0.12241376 -0.214453427 0.94236705 -1.478995194 0
#>
#> $eta
#> [1] -52.52499179 7.64915122 -6.10528038 -6.55029733 -9.09850211
#> [6] -8.53121905 -15.69408562 -2.17015187 -2.89843060 -9.57947196
#> [11] 3.13580263 -11.45083270 8.85895559 -10.49559142 -8.12938190
#> [16] -21.07794127 -6.99864292 -4.84010109 18.13698252 -1.58787201
#> [21] -10.18527071 -12.69596203 -0.67225792 -23.14031565 -6.51456134
#> [26] -17.04117847 -1.09117716 -5.33294002 -15.43701466 3.19344468
#> [31] -1.71000760 -9.68438368 2.97576949 -3.71595323 -2.42900204
#> [36] -4.02605868 0.42605052 -12.26475014 3.65835927 -10.62597981
#> [41] 11.81661811 4.14082072 -4.78292426 -23.78739608 -19.07024019
#> [46] -5.08905373 -8.30054998 8.62919235 -4.94520205 2.44863968
#> [51] -8.09866578 -1.22525514 -2.20459763 1.14282895 -16.29162062
#> [56] -8.48592818 -2.87271566 0.15369106 -15.83412961 -4.15098485
#> [61] -8.99980205 -6.81581180 -42.07955943 2.55077620 5.88862846
#> [66] 2.02156690 -28.64863011 5.45366592 -12.31334963 -9.17763325
#> [71] -21.21844552 -1.79599901 4.30594792 -12.99214240 -0.34848195
#> [76] -8.55065664 -12.08180372 -6.17815977 9.54383505 0.73519421
#> [81] 1.96870687 -17.56546368 -7.32559599 8.56677282 1.23969348
#> [86] 3.92578368 0.04716594 -2.15829992 1.80056626 -12.51387068
#> [91] -7.63098777 -4.44080890 -1.06985897 -10.03915069 7.54123043
#> [96] -20.36086944 7.80691196 -1.45214124 -7.33888710 -9.16799457
#>
#> $mu
#> [1] 2.220446e-16 9.995238e-01 2.226089e-03 1.427649e-03 1.118207e-04
#> [6] 1.971755e-04 1.528077e-07 1.024631e-01 5.223120e-02 6.912866e-05
#> [11] 9.583456e-01 1.064050e-05 9.998579e-01 2.765735e-05 2.946635e-04
#> [16] 7.014011e-10 9.122873e-04 7.844236e-03 1.000000e+00 1.696835e-01
#> [21] 3.772044e-05 3.063461e-06 3.379914e-01 8.918434e-11 1.479514e-03
#> [26] 3.972924e-08 2.513967e-01 4.806634e-03 1.976012e-07 9.605868e-01
#> [31] 1.531627e-01 6.224415e-05 9.514674e-01 2.375424e-02 8.098771e-02
#> [36] 1.753168e-02 6.049302e-01 4.715032e-06 9.748729e-01 2.427644e-05
#> [41] 9.999926e-01 9.843394e-01 8.301983e-03 4.669444e-11 5.222758e-09
#> [46] 6.126090e-03 2.483185e-04 9.998212e-01 7.067176e-03 9.204619e-01
#> [51] 3.038520e-04 2.270130e-01 9.933838e-02 7.581987e-01 8.406961e-08
#> [56] 2.063092e-04 5.351892e-02 5.383473e-01 1.328388e-07 1.550472e-02
#> [61] 1.234190e-04 1.095102e-03 2.220446e-16 9.276256e-01 9.972369e-01
#> [66] 8.830429e-01 3.614582e-13 9.957377e-01 4.491364e-06 1.033141e-04
#> [71] 6.094614e-10 1.423388e-01 9.866914e-01 2.278155e-06 4.137506e-01
#> [76] 1.933806e-04 5.661570e-06 2.069948e-03 9.999284e-01 6.759441e-01
#> [81] 8.774721e-01 2.351885e-08 6.580338e-04 9.998097e-01 7.755107e-01
#> [86] 9.806549e-01 5.117893e-01 1.035582e-01 8.582179e-01 3.675305e-06
#> [91] 4.849461e-04 1.164910e-02 2.554299e-01 4.365493e-05 9.994695e-01
#> [96] 1.436768e-09 9.995933e-01 1.896722e-01 6.493513e-04 1.043146e-04
#>
# Logistic Outcome
sim_Bai(100, 4, family = poisson())
#> $dat
#> x1 x2 x3 x4 y
#> [1,] -0.84282302 -0.437194696 -1.11369571 0.746735148 12
#> [2,] 0.10585479 0.884812787 -0.34670341 -1.181249101 2
#> [3,] 1.12225966 1.585657366 -0.42215727 0.074995770 29
#> [4,] 1.04063552 -1.970524918 -0.01107440 0.039407172 1
#> [5,] -0.23070887 -0.002770688 0.27996199 -0.690859677 0
#> [6,] -1.05445089 1.148710256 -0.19921323 1.977357867 0
#> [7,] -0.79500049 1.748994785 -1.63272945 -0.519641698 6
#> [8,] 0.20778218 0.109427264 1.12978750 0.922785767 1
#> [9,] 0.84382305 -0.278161454 -0.31100351 1.564402515 0
#> [10,] 0.01600106 -0.599156527 0.23798665 2.434873725 0
#> [11,] -0.09215289 0.856867042 -0.10838282 -1.744884636 0
#> [12,] -0.30125021 0.211136848 -0.03655741 0.773345673 0
#> [13,] 0.76452203 -0.548191320 -0.60726001 0.265419095 3
#> [14,] -0.80126256 1.745411301 0.70898230 -0.701573065 12
#> [15,] 1.03917389 -1.010373661 0.64882771 0.480150765 1
#> [16,] 1.22153932 -0.899305905 0.07668139 -0.270618430 5
#> [17,] -1.44187877 1.111119498 -0.75154056 -1.011705332 0
#> [18,] -1.49268773 -0.151223512 0.16038807 -3.207633813 0
#> [19,] 0.64263583 -0.229298897 1.82285015 -0.439502411 11
#> [20,] 2.64486196 0.592107046 2.97517710 -1.105699954 734
#> [21,] -0.73343464 -2.021636783 -0.89540190 -1.267644614 1
#> [22,] 1.33848736 0.866787709 0.22462060 0.229490570 3
#> [23,] 1.44593860 -1.544834042 1.72430269 0.667858428 29
#> [24,] 0.32732953 1.260873068 0.06440721 -0.745217145 3
#> [25,] -0.30309133 1.037890269 0.79245140 -0.274163986 2
#> [26,] -0.99970690 0.291532108 -0.25091034 0.461470433 2
#> [27,] 0.50020877 0.172004807 1.18400487 0.132721388 3
#> [28,] 1.69713530 -0.083436898 -0.11601851 0.215905568 1
#> [29,] 0.81861119 -2.048813656 1.20089335 0.082224343 1
#> [30,] -1.31688092 1.694468355 0.22136097 -1.143497578 0
#> [31,] -1.41987513 -0.664835188 0.97791849 -1.150915053 0
#> [32,] 0.48804148 -0.556526987 -0.59725059 -0.080153720 4
#> [33,] -0.17602896 -0.812976434 -0.95443768 -0.097320041 1
#> [34,] 1.23542760 -1.363936529 2.01617342 -0.876987393 88
#> [35,] 1.51143001 0.960943269 0.41135664 0.108225851 2
#> [36,] 0.51954697 0.766602252 1.58042540 1.301850726 1
#> [37,] -1.86649411 -0.222895543 1.07454127 0.562110825 16
#> [38,] 0.07254210 0.081754721 -0.58383171 -0.032253371 2
#> [39,] -0.97651982 -1.517386308 -0.75605695 0.004864110 6
#> [40,] -3.21540530 1.895085464 0.46250847 0.137365902 3
#> [41,] -1.07079755 -0.139879616 -0.66865695 -0.001635881 2
#> [42,] 1.67831460 0.221602585 -0.28354296 1.911903772 0
#> [43,] -0.19030293 0.714266909 -2.62005628 0.714630226 1
#> [44,] -2.41208098 0.402086133 -0.14043111 1.568640997 0
#> [45,] -0.15033614 1.227241357 -1.04142333 1.237658203 0
#> [46,] -0.51230866 0.849462415 0.13734710 -0.038613232 7
#> [47,] -0.92747406 0.909431463 1.19901374 0.238877638 12
#> [48,] -0.37583867 0.612857421 -0.33636414 -0.838979050 0
#> [49,] -1.31590591 0.174347286 -0.47729771 -1.024458600 0
#> [50,] -0.23911109 -0.668529248 -0.86158710 -0.995506171 1
#> [51,] -0.38878563 -0.567166292 1.89223657 0.303254818 21
#> [52,] -1.28886210 -0.176520647 -1.24856483 -0.352899598 1
#> [53,] -0.39644258 -0.918543086 -1.08749701 0.398679311 1
#> [54,] 0.41459172 0.310514905 1.01764378 -1.365786923 0
#> [55,] -0.53124010 0.305828892 0.46729740 2.896025663 0
#> [56,] 0.62407466 -2.105607527 1.40285905 -0.773022370 1
#> [57,] -1.65094127 1.164619970 -2.15861437 -1.119813026 0
#> [58,] -0.31785546 -0.613230706 0.19378267 -0.564873028 0
#> [59,] 2.36279003 2.455386751 0.83194949 2.490255764 0
#> [60,] -1.09738155 -0.802017584 0.88376238 -1.127671082 0
#> [61,] -0.52128458 -2.261533573 0.75374598 0.410226932 13
#> [62,] 1.46677740 1.094410952 0.38044109 -0.745422665 2
#> [63,] 1.89527814 -0.448783783 -0.59044725 1.262638969 0
#> [64,] 0.69612604 0.978430036 -0.20316638 0.184241859 1
#> [65,] -1.09872244 1.664715654 1.10407523 0.178670845 10
#> [66,] 0.77698319 -0.156077774 0.23702679 -0.510208854 2
#> [67,] -1.63220741 0.689423412 0.24793647 -0.468333787 14
#> [68,] -0.97652813 0.797626688 1.04364281 0.523481045 8
#> [69,] 0.38522707 -0.610608758 -1.17206001 0.952155723 1
#> [70,] 0.04545882 -1.609244216 0.24118045 -0.143379986 8
#> [71,] -1.43767830 -0.418566621 0.08020736 -0.295628685 8
#> [72,] -1.16153472 0.953611970 0.34324016 0.444952540 0
#> [73,] -0.25934898 -0.331525049 1.47300449 0.645099093 10
#> [74,] -1.41507183 0.916866160 -2.15729711 -1.027902767 0
#> [75,] -0.93690947 -0.023143307 0.65871577 -1.214766672 0
#> [76,] -0.74508655 0.512468939 1.53710968 -1.459172080 1
#> [77,] 0.27826116 -1.091453811 -0.09550575 -0.232824424 5
#> [78,] -2.87099635 -0.395029437 -0.74475634 -1.101235187 1
#> [79,] 1.11875641 0.100385814 -0.71583569 -0.159210085 4
#> [80,] 0.92646839 0.059403962 -0.84001542 1.354488565 0
#> [81,] 2.53379874 -0.071132659 -0.31395262 -0.272051843 1
#> [82,] -0.73408663 -0.805977539 0.53259154 -1.699226243 0
#> [83,] -0.61965304 0.389986653 0.47607667 -0.605849403 6
#> [84,] 0.67158770 -0.665612842 -1.07711443 -0.679157540 0
#> [85,] 0.33658369 -1.684728240 -1.69012374 1.096655309 0
#> [86,] -0.62849121 -0.240101567 0.82666881 0.125148297 20
#> [87,] 1.68957762 -0.187568061 0.85795200 -0.605765430 3
#> [88,] 0.75895026 0.355184732 0.04809181 1.147038142 0
#> [89,] -0.50106683 -0.540478231 1.98648158 0.286491715 86
#> [90,] -0.20233144 -0.348244255 -1.27011818 -1.427476586 0
#> [91,] -0.96826609 -0.025349118 -0.04795043 -0.653163314 1
#> [92,] 1.68409644 1.871251323 0.11114121 0.782537435 0
#> [93,] 0.63989076 -0.647165624 0.82692378 -0.046934110 7
#> [94,] 1.63104843 -0.360545924 0.30633253 -0.259924537 1
#> [95,] 1.77768484 -0.418610047 0.06262036 -1.060134329 0
#> [96,] 0.29926678 2.024902754 -1.41547604 1.572709530 0
#> [97,] 0.12905551 0.396947674 -0.51410892 -0.200374934 8
#> [98,] -1.88424097 1.019586944 0.67556683 -0.878831635 2
#> [99,] 0.55633347 0.277503501 0.32260789 1.729824342 0
#> [100,] -0.21526931 1.830310350 0.95677354 -0.026675566 3
#>
#> $eta
#> [1] 1.84525427 -1.23087958 2.94510163 0.69418682 -1.28710927
#> [6] -7.73476157 1.98335476 0.51749244 -3.80642692 -9.81641168
#> [11] -5.44815630 -1.43645778 0.77590097 2.28145953 0.70339571
#> [16] 1.27825318 -2.19598872 -19.27450959 2.67005248 6.59937202
#> [21] -1.86038919 2.01311489 3.39427357 0.78178023 -0.17757776
#> [26] 0.65039263 1.43437389 -0.20212778 0.71532303 -1.27849670
#> [31] -1.03298655 1.93843730 -0.53949606 4.39908813 0.77354835
#> [36] -0.18389036 2.60714937 0.66129256 2.15483642 0.22093796
#> [41] 0.58391401 -7.53734381 -0.25997437 -3.65842926 -3.33226793
#> [46] 1.40855307 2.17174857 0.15281992 -2.59421958 -1.79883358
#> [51] 3.43067770 -0.06633993 -0.78871706 -1.23232022 -15.08929321
#> [56] 0.33253256 -1.50989541 0.28855084 -9.01371563 -1.88547777
#> [61] 2.18845031 -0.31456680 -1.59424329 -0.48944530 2.42175441
#> [66] -0.08930731 2.58340080 1.93410307 0.33796758 2.12474102
#> [71] 1.87689588 -0.38442234 1.76236741 -2.09693224 -1.59113465
#> [76] 0.51402091 1.76336128 0.47647000 0.83218268 -3.93432521
#> [81] 0.34925621 -3.85081046 1.96326166 -0.63713252 -0.56563727
#> [86] 3.02935275 0.38815091 -2.04990350 4.48721299 -3.01962544
#> [91] -0.06433835 -0.95205639 1.28563670 1.60485143 -0.80689438
#> [96] -3.83880760 2.29457743 -0.02354816 -5.10028779 1.05900095
#>
#> $mu
#> [1] 6.329709e+00 2.920356e-01 1.901259e+01 2.002080e+00 2.760677e-01
#> [6] 4.373566e-04 7.267081e+00 1.677815e+00 2.222746e-02 5.454897e-05
#> [11] 4.304233e-03 2.377685e-01 2.172549e+00 9.790960e+00 2.020602e+00
#> [16] 3.590363e+00 1.112485e-01 4.257816e-09 1.444073e+01 7.346337e+02
#> [21] 1.556121e-01 7.486601e+00 2.979300e+01 2.185359e+00 8.372959e-01
#> [26] 1.916293e+00 4.197016e+00 8.169905e-01 2.044847e+00 2.784556e-01
#> [31] 3.559423e-01 6.947885e+00 5.830420e-01 8.137663e+01 2.167443e+00
#> [36] 8.320270e-01 1.356034e+01 1.937295e+00 8.626479e+00 1.247246e+00
#> [41] 1.793043e+00 5.328110e-04 7.710714e-01 2.577296e-02 3.571202e-02
#> [46] 4.090033e+00 8.773612e+00 1.165115e+00 7.470415e-02 1.654918e-01
#> [51] 3.089757e+01 9.358127e-01 4.544274e-01 2.916152e-01 2.797713e-07
#> [56] 1.394495e+00 2.209331e-01 1.334492e+00 1.217287e-04 1.517565e-01
#> [61] 8.921377e+00 7.301051e-01 2.030621e-01 6.129663e-01 1.126561e+01
#> [66] 9.145645e-01 1.324210e+01 6.917836e+00 1.402095e+00 8.370729e+00
#> [71] 6.533194e+00 6.808438e-01 5.826214e+00 1.228327e-01 2.036944e-01
#> [76] 1.672001e+00 5.832007e+00 1.610380e+00 2.298330e+00 1.955889e-02
#> [81] 1.418012e+00 2.126250e-02 7.122520e+00 5.288066e-01 5.679981e-01
#> [86] 2.068384e+01 1.474252e+00 1.287473e-01 8.887341e+01 4.881950e-02
#> [91] 9.376877e-01 3.859465e-01 3.616970e+00 4.977120e+00 4.462418e-01
#> [96] 2.151925e-02 9.920243e+00 9.767269e-01 6.094992e-03 2.883489e+00
#>
# Gaussian Outcome with measurement error variance = 1
sim_Bai(100, 4, family = gaussian(), dispersion = 1 )
#> $dat
#> x1 x2 x3 x4 y
#> [1,] -0.91030410 0.54137110 -0.752659672 -0.921266480 -2.62506559
#> [2,] -1.00178631 0.95411468 0.350952215 0.217690700 -3.92665737
#> [3,] -0.58159232 0.91735473 -0.420553225 0.233818352 -3.08186539
#> [4,] -0.73236865 -0.48579867 0.789461150 0.540133712 10.58421501
#> [5,] 2.30006136 -1.84883075 0.864943572 -1.295124683 -2.05217781
#> [6,] -1.39561303 -0.88227241 -1.499859285 0.321070237 -19.05380196
#> [7,] -0.46070929 -0.35072691 1.028657347 0.903755702 3.60265556
#> [8,] -0.64249899 -1.15441684 0.276032612 2.111384444 -17.49079685
#> [9,] 0.81600704 -1.36413450 0.468745052 0.317372926 0.27534489
#> [10,] 0.08338789 -0.64777033 0.445980433 1.050051152 -1.46850624
#> [11,] 0.65900185 -1.22969308 0.583898949 -0.443324134 -2.96051322
#> [12,] 0.90244873 -1.83643839 1.533704413 1.207458269 -6.81298899
#> [13,] -0.94217156 0.21041430 -0.798724646 -1.906692901 -24.85817169
#> [14,] 1.21336732 0.19309342 0.005024061 -1.087494533 -5.89033698
#> [15,] -1.94000886 -0.74621188 -0.555810860 1.535231373 -18.24715866
#> [16,] -0.56623190 1.44320646 0.580358051 0.046119021 6.54321095
#> [17,] -0.87957906 -0.55124127 -0.446643733 -0.254171972 3.53327640
#> [18,] 0.46859623 -0.43766034 -0.671351493 0.314968321 -0.91342724
#> [19,] -0.46306102 0.44262624 0.990073721 0.280840661 6.70054368
#> [20,] 0.28706261 -1.59299387 0.076120547 -0.929178210 0.51368468
#> [21,] -0.84854444 0.53538242 -0.049954970 0.093116451 6.24266393
#> [22,] 1.41129715 -0.42106989 1.750294271 2.055668986 -5.51209329
#> [23,] -0.56377384 1.13886408 2.053102282 -0.664392558 6.89492072
#> [24,] 1.06679207 -1.22704308 -1.215949537 -0.527162079 -5.95832438
#> [25,] 0.08954381 -1.98292976 1.138772586 0.337832604 4.60500963
#> [26,] 0.10506111 -0.61452326 0.869324619 0.199175378 8.27391239
#> [27,] -0.18205756 -0.65604287 -0.502456645 1.093367048 -15.40719286
#> [28,] -0.17886466 0.84959292 -0.581065760 1.040958721 -14.44382797
#> [29,] 1.90892261 -0.21901333 0.512816883 0.672590757 -3.18002303
#> [30,] -0.01775922 -0.84188255 1.521161354 0.171265396 5.61576798
#> [31,] -0.52790463 -0.69599607 0.345670776 1.284065861 -7.08312751
#> [32,] -0.21765554 0.30566398 -0.891863685 -0.455721551 -13.96095376
#> [33,] -0.81549777 0.34937886 -0.976834025 -0.377655907 -3.19937821
#> [34,] -0.05727960 1.64646997 0.140909581 -0.754529470 -1.47493038
#> [35,] 0.68561065 0.38349328 0.128446933 -0.001185693 -2.77559698
#> [36,] -1.63617968 -0.12978607 0.193412755 0.795891367 0.29138844
#> [37,] 1.05152006 -0.40320458 -0.106727679 0.923708635 -3.14232476
#> [38,] 0.12365904 -0.12407591 1.470975028 -0.543286168 7.89184372
#> [39,] 0.64319988 0.40083831 0.101736239 -0.176652393 -4.31956295
#> [40,] -0.29822732 -1.83745414 0.100938342 -2.345959526 -36.64077377
#> [41,] 0.31648532 -1.52104413 0.477026624 0.714352080 7.63754080
#> [42,] 1.16979738 -0.90985936 0.716569227 0.075454182 2.78205589
#> [43,] -0.21661729 1.85191193 -0.468422243 0.115332964 -10.22432219
#> [44,] 0.57649559 -0.39338632 1.170258338 0.117965241 6.43341717
#> [45,] 0.24526753 0.68867501 0.799482259 -0.323172153 9.69470297
#> [46,] -1.24022140 0.73778643 -0.294313821 -0.746284656 -10.94628093
#> [47,] 0.61470447 -1.65804408 -0.431041165 -0.508255335 -8.89850891
#> [48,] 1.00486430 1.75224317 -0.962499200 0.445487074 -7.77373126
#> [49,] -1.47432563 -0.29868145 0.182458371 0.238204581 1.00305884
#> [50,] -0.37280436 0.36056390 2.048045316 -0.212232670 7.49116471
#> [51,] 1.83997697 0.98748236 1.801184638 -1.734602866 -11.44271701
#> [52,] 0.28041996 1.86294579 1.203171853 -1.603863236 -2.90881137
#> [53,] -0.48641548 -0.50332188 -1.186897310 -1.785483956 -20.69810549
#> [54,] 0.75665334 -0.13012920 0.608978847 0.807657686 -5.85159380
#> [55,] 0.55936722 -0.43506979 -0.546904579 -0.381235139 -2.50810719
#> [56,] 0.40591187 -1.13778206 -0.291201695 -0.917032188 -6.02133321
#> [57,] 0.53011103 0.60951319 1.697137000 -1.145945024 5.38634652
#> [58,] -0.02425783 -0.89880186 -1.661861758 1.185924158 -22.36191155
#> [59,] 0.95832923 -0.09973147 0.419991355 0.856002079 -5.96339359
#> [60,] -0.06058868 -0.06820262 0.022873312 1.444207920 -15.95312569
#> [61,] 0.42978248 1.47562825 0.604017181 3.005395572 -34.79876166
#> [62,] -0.40018817 0.82694697 -1.390645294 -0.097129719 -11.67122218
#> [63,] 0.13569313 -0.67342828 1.494994993 -0.257307991 12.33677349
#> [64,] -1.89210184 1.36563900 -1.610783017 1.057854771 -11.04700062
#> [65,] 0.19257023 1.55994904 -1.158849367 -0.839471169 -2.69065801
#> [66,] -0.91500577 2.00398281 -0.700339746 2.097678374 -29.34681096
#> [67,] -0.29195066 1.11866506 0.830825964 -0.626075506 -6.87079014
#> [68,] 0.17434285 1.28093577 0.274286125 -0.161515356 3.19562060
#> [69,] 0.13210037 0.73653116 -0.688532989 -0.651475727 -2.31145345
#> [70,] 0.85339160 1.01169271 0.537155599 0.661078874 -7.45962545
#> [71,] 0.81696510 -2.24114881 -0.664462113 -0.165886136 -7.22152837
#> [72,] 0.13218674 -1.64692912 0.406325998 -0.028142485 4.49626813
#> [73,] 0.25937277 -0.76781001 1.124736704 1.637309953 -4.90353494
#> [74,] 0.47347789 0.92998976 1.010281068 0.972407682 -2.97498610
#> [75,] 1.00182537 1.05922571 -2.005480068 -0.797810817 -20.98215339
#> [76,] 0.06910061 1.26040028 -0.515968276 2.793434721 -40.92052998
#> [77,] -1.44527738 -0.51764910 0.175378647 -0.242444544 -0.06112831
#> [78,] 1.89923502 0.74490331 -0.781743975 0.182745882 -6.56674290
#> [79,] 0.27946056 -0.57843051 0.451809783 0.267168827 6.72758714
#> [80,] 0.57608479 -0.46653079 -0.825378134 -1.903044437 -21.25826600
#> [81,] -0.13947940 0.60305401 0.497674122 -2.225657669 -21.65560498
#> [82,] -0.92462688 -1.91348027 1.049360650 -1.287914886 -4.32962569
#> [83,] -1.46831005 -1.23667381 -1.184461011 -1.845656140 -24.21306762
#> [84,] 1.07109093 -0.28548983 0.804359678 0.392610016 8.23966600
#> [85,] -1.86008330 -0.38431514 -0.184805446 0.598965567 3.94395469
#> [86,] -0.41899621 1.84820533 -0.177895108 -0.569540347 -4.54209775
#> [87,] 0.02023352 0.37140375 0.282408129 0.402735857 1.74216191
#> [88,] 0.53694109 0.26678119 2.216337907 -0.465822634 7.19256725
#> [89,] -0.28474145 0.49855974 -0.001546135 0.098303502 -2.20140432
#> [90,] -1.56091183 -0.89889714 0.455615020 -1.157050865 -7.26256723
#> [91,] 0.69806307 -0.19598273 0.286425625 0.102091842 -3.99322613
#> [92,] -0.52769502 -0.69172271 -0.619791503 -0.002851872 -3.96362558
#> [93,] 1.15419849 -0.09660396 -0.515500853 0.051344621 -0.98877614
#> [94,] 2.23440052 1.65541563 0.246304189 3.271766563 -45.46539773
#> [95,] -0.18162044 1.43547679 0.972136863 0.292795019 2.59069502
#> [96,] 0.02524121 -1.00035209 -0.288816962 0.335985445 -7.29559237
#> [97,] 0.47935420 2.70717115 -0.546557921 -0.041552957 -1.34804707
#> [98,] 1.18164719 -0.99948154 -0.094112713 -0.398001564 -2.47731696
#> [99,] 0.18963373 -0.67829357 2.788099682 0.123666285 19.73658407
#> [100,] 0.46688942 0.39056138 0.843804328 0.467147280 3.52396223
#>
#> $eta
#> [1] -3.70325785 -2.50754097 -3.94012346 10.41464882 -3.54448565
#> [6] -17.94951423 2.98877672 -18.63298260 -0.01483995 -1.26827875
#> [11] -1.72860492 -5.91978917 -25.41553330 -5.53991850 -16.61279394
#> [16] 6.61201435 1.65263623 -1.06738346 5.50426745 1.37503607
#> [21] 6.07548007 -5.48250440 6.83618555 -6.75471314 3.73355500
#> [26] 7.95984047 -14.68236756 -15.41492167 -2.19030466 3.40078713
#> [31] -7.43790656 -13.38544813 -2.99520376 -1.61014188 -3.99640103
#> [36] -0.74202309 -0.83950804 8.20724641 -3.22973864 -36.65287543
#> [41] 6.60756735 3.15821879 -9.82694286 7.08267969 10.86894308
#> [46] -8.85997545 -8.36666301 -6.24645839 1.39369892 7.75295079
#> [51] -13.30796043 -3.06641506 -21.51785856 -7.10521172 -3.34718114
#> [56] -5.47987896 5.10599078 -23.22553416 -5.65678546 -16.04529596
#> [61] -37.72609464 -12.75907568 10.82831465 -12.72542635 -3.32903743
#> [66] -28.71547631 -7.18218094 3.25734636 -1.85605252 -8.08535849
#> [71] -8.46865393 5.21383278 -5.46187383 -1.69634771 -20.62538746
#> [76] -43.19328407 0.84943252 -7.28666651 7.95395585 -23.02711355
#> [81] -23.16727407 -5.21326472 -25.01059885 7.36181799 3.34576755
#> [86] -7.09270726 1.05656224 8.02531710 -2.94611135 -7.55638845
#> [91] -3.93004700 -4.88684448 -2.27444515 -45.01404159 1.82804910
#> [96] -6.51375625 -1.35923156 -1.82733536 19.59902529 4.99986718
#>
#> $mu
#> [1] -3.70325785 -2.50754097 -3.94012346 10.41464882 -3.54448565
#> [6] -17.94951423 2.98877672 -18.63298260 -0.01483995 -1.26827875
#> [11] -1.72860492 -5.91978917 -25.41553330 -5.53991850 -16.61279394
#> [16] 6.61201435 1.65263623 -1.06738346 5.50426745 1.37503607
#> [21] 6.07548007 -5.48250440 6.83618555 -6.75471314 3.73355500
#> [26] 7.95984047 -14.68236756 -15.41492167 -2.19030466 3.40078713
#> [31] -7.43790656 -13.38544813 -2.99520376 -1.61014188 -3.99640103
#> [36] -0.74202309 -0.83950804 8.20724641 -3.22973864 -36.65287543
#> [41] 6.60756735 3.15821879 -9.82694286 7.08267969 10.86894308
#> [46] -8.85997545 -8.36666301 -6.24645839 1.39369892 7.75295079
#> [51] -13.30796043 -3.06641506 -21.51785856 -7.10521172 -3.34718114
#> [56] -5.47987896 5.10599078 -23.22553416 -5.65678546 -16.04529596
#> [61] -37.72609464 -12.75907568 10.82831465 -12.72542635 -3.32903743
#> [66] -28.71547631 -7.18218094 3.25734636 -1.85605252 -8.08535849
#> [71] -8.46865393 5.21383278 -5.46187383 -1.69634771 -20.62538746
#> [76] -43.19328407 0.84943252 -7.28666651 7.95395585 -23.02711355
#> [81] -23.16727407 -5.21326472 -25.01059885 7.36181799 3.34576755
#> [86] -7.09270726 1.05656224 8.02531710 -2.94611135 -7.55638845
#> [91] -3.93004700 -4.88684448 -2.27444515 -45.01404159 1.82804910
#> [96] -6.51375625 -1.35923156 -1.82733536 19.59902529 4.99986718
#>