This function adds measured data columns that can be functions of unmeasured data columns.
Usage
declare_measurement(..., handler = measurement_handler, label = NULL)
measurement_handler(data, ...)Arguments
- ...
arguments to be captured, and later passed to the handler
- handler
a tidy-in, tidy-out function
- label
a string describing the step
- data
A data.frame.
Details
It is also possible to include measured variables in your declare_model call or to add variables using declare_step. However, putting latent variables in declare_model and variables-as-measured in declare_measurement helps communicate which parts of your research design are in M and which parts are in D.
Examples
# declare_measurement in use
## Two-arm randomized experiment
design <-
declare_model(
N = 500,
X = rep(c(0, 1), each = N / 2),
U = rnorm(N, sd = 0.25),
potential_outcomes(Y ~ 0.2 * Z + X + U)
) +
declare_inquiry(ATE = mean(Y_Z_1 - Y_Z_0)) +
declare_sampling(S = complete_rs(N = N, n = 200)) +
declare_assignment(Z = complete_ra(N = N, m = 100)) +
declare_measurement(Y = reveal_outcomes(Y ~ Z)) +
declare_estimator(Y ~ Z, inquiry = "ATE")
run_design(design)
#> inquiry estimand estimator term estimate std.error statistic p.value
#> 1 ATE 0.2 estimator Z 0.1550252 0.08031084 1.930315 0.05499649
#> conf.low conf.high df outcome
#> 1 -0.003349185 0.3133996 198 Y
# Reveal potential outcomes according to treatment assignment
design <-
declare_model(N = 100,
potential_outcomes(Y ~ rbinom(
N, size = 1, prob = 0.1 * Z + 0.5
))) +
declare_assignment(Z = complete_ra(N, m = 50)) +
declare_measurement(Y = reveal_outcomes(Y ~ Z))
head(draw_data(design))
#> ID Y_Z_0 Y_Z_1 Z Y
#> 1 001 0 1 1 1
#> 2 002 0 1 0 0
#> 3 003 1 0 1 0
#> 4 004 0 1 0 0
#> 5 005 1 0 1 0
#> 6 006 0 1 0 0
# Generate observed measurement from a latent value
design <-
declare_model(N = 100, latent = runif(N)) +
declare_measurement(observed = rbinom(N, 1, prob = latent))
head(draw_data(design))
#> ID latent observed
#> 1 001 0.6470987 1
#> 2 002 0.4379810 0
#> 3 003 0.8303115 1
#> 4 004 0.9474058 1
#> 5 005 0.2534557 1
#> 6 006 0.1299259 0
# Index creation
library(psych)
design <-
declare_model(
N = 500,
X = rep(c(0, 1), each = N / 2),
Y_1 = 0.2 * X + rnorm(N, sd = 0.25),
Y_2 = 0.3 * X + 0.5 * rnorm(N, sd = 0.50),
Y_3 = 0.1 * X + 0.4 * rnorm(N, sd = 0.75)) +
declare_measurement(
index = fa(
r = cbind(Y_1, Y_2, Y_3),
nfactors = 1,
rotate = "varimax"
)$scores
)
draw_data(design)
#> ID X Y_1 Y_2 Y_3 MR1
#> 1 001 0 0.234786179 0.255737035 -0.8315109123 0.2564617289
#> 2 002 0 -0.063783207 0.233236373 0.2451738586 0.2128395022
#> 3 003 0 -0.030403562 -0.171517786 -0.1613010331 -0.9149528202
#> 4 004 0 -0.063443733 0.440488941 -0.3768919101 0.7118722538
#> 5 005 0 0.317284997 -0.035044964 0.0361154701 -0.4188462672
#> 6 006 0 0.573104833 0.179916354 -0.0147183601 0.2368407837
#> 7 007 0 0.031938087 -0.261252743 0.2707672929 -1.0954925458
#> 8 008 0 0.349121342 -0.209030119 0.0843677090 -0.8757836379
#> 9 009 0 -0.039382002 -0.038312328 0.0782640058 -0.5325043744
#> 10 010 0 0.086751447 0.451452916 -0.2544417595 0.7998684452
#> 11 011 0 0.046005841 -0.866176488 -0.1154666581 -2.7696542941
#> 12 012 0 -0.136899441 -0.184823617 -0.2345016683 -0.9909643648
#> 13 013 0 -0.043393179 0.242023679 -0.1875246389 0.1992246892
#> 14 014 0 -0.035697960 0.029954495 -0.1725706064 -0.3716711788
#> 15 015 0 0.166550090 -0.020642783 0.0943805085 -0.4200226077
#> 16 016 0 0.206800261 -0.167635352 0.3298125221 -0.7823420762
#> 17 017 0 0.199102227 -0.016270780 0.4924094405 -0.3580537263
#> 18 018 0 -0.042389446 -0.345709235 -0.2566849327 -1.4003433796
#> 19 019 0 -0.206357599 0.167674859 -0.0460996167 -0.0378353409
#> 20 020 0 -0.250375278 -0.186858168 0.2919218433 -0.9780522202
#> 21 021 0 0.086616534 -0.435940217 -0.3336991111 -1.6132170748
#> 22 022 0 0.012377097 0.194854147 -0.2008372273 0.0870932128
#> 23 023 0 0.184314494 0.176894543 0.4255896345 0.1542056000
#> 24 024 0 -0.324754481 0.100771880 -0.5624530015 -0.3074668113
#> 25 025 0 0.026422221 -0.274198445 0.2779775606 -1.1315374154
#> 26 026 0 -0.052006411 -0.003580823 0.2762200849 -0.4222574374
#> 27 027 0 0.326410530 0.142941200 -0.2096255438 0.0415302295
#> 28 028 0 0.433344453 -0.261780779 -0.2674188204 -1.0284979622
#> 29 029 0 0.780871822 0.043255646 0.4423812170 -0.0238869716
#> 30 030 0 -0.472338091 -0.026343649 0.4937806743 -0.5905178652
#> 31 031 0 -0.007138264 -0.165314259 -0.3004417194 -0.9050672331
#> 32 032 0 -0.172035631 -0.024958867 -0.1231566011 -0.5572001264
#> 33 033 0 0.134014518 0.025602550 -0.2744736222 -0.3418572942
#> 34 034 0 -0.069522194 -0.038413249 -0.2093569066 -0.5710184812
#> 35 035 0 -0.009516512 -0.411093273 0.3272938328 -1.5085670326
#> 36 036 0 0.092863144 0.071289941 0.0638297397 -0.1964769271
#> 37 037 0 -0.017518246 -0.323165838 -0.7002919335 -1.3764065496
#> 38 038 0 0.148629105 -0.214740304 -0.1388822993 -0.9750919167
#> 39 039 0 0.371911710 -0.152697214 -0.0948890216 -0.7342289934
#> 40 040 0 0.005688023 0.221117061 0.8537349295 0.2626470526
#> 41 041 0 0.190749204 0.212024069 -0.0967752305 0.1986688889
#> 42 042 0 -0.281978380 0.380677231 -0.3856931591 0.4820600042
#> 43 043 0 0.353554082 0.121606974 -0.1245198472 0.0005972448
#> 44 044 0 -0.068156271 0.292585782 -0.4399565164 0.3032145801
#> 45 045 0 -0.311726581 0.514016198 -0.4678477910 0.8260538296
#> 46 046 0 0.283931064 -0.413398109 0.1524523908 -1.4427316516
#> 47 047 0 0.390128867 0.245697056 0.4986945182 0.4109847473
#> 48 048 0 0.057986431 -0.186085715 0.1373525871 -0.8972707083
#> 49 049 0 -0.005151154 -0.061259941 -0.4168309169 -0.6341929535
#> 50 050 0 0.044662276 -0.141995928 0.1746949264 -0.7780826287
#> 51 051 0 0.368633842 0.214292819 -0.3792465089 0.2307034392
#> 52 052 0 -0.065155002 0.052807499 -0.3226736975 -0.3338884311
#> 53 053 0 0.027727683 -0.497771192 -0.4737297668 -1.8129307833
#> 54 054 0 0.358639153 0.086492003 0.4467105406 -0.0353730715
#> 55 055 0 -0.086446419 0.134216501 0.2392972924 -0.0630504994
#> 56 056 0 0.118604252 -0.048118966 -0.0625494073 -0.5249860487
#> 57 057 0 -0.097953508 0.196505567 0.2350106597 0.1018166258
#> 58 058 0 -0.459528458 -0.094191936 0.6710294837 -0.7525993365
#> 59 059 0 0.032500960 -0.181907384 -0.1864799636 -0.9264180137
#> 60 060 0 -0.022020307 0.285935650 0.2372397971 0.3676360199
#> 61 061 0 -0.553006559 0.187514278 0.1051095588 -0.0747997463
#> 62 062 0 0.242744734 -0.331049965 0.1154461614 -1.2358763663
#> 63 063 0 0.227257321 -0.184558022 -0.0580767821 -0.8610946898
#> 64 064 0 0.276972834 -0.044974267 -0.0082829179 -0.4625634554
#> 65 065 0 0.183635956 0.764069204 -0.2978990907 1.6723712568
#> 66 066 0 0.007937975 -0.155904656 0.2427162732 -0.8201433132
#> 67 067 0 -0.003120742 0.190150825 0.5075906781 0.1410972221
#> 68 068 0 0.008425458 0.114123171 0.2101374234 -0.0914423573
#> 69 069 0 0.130524197 0.058791544 0.2751304188 -0.1975120819
#> 70 070 0 0.108920371 0.009790520 0.0589974559 -0.3587328755
#> 71 071 0 0.116595099 0.350444260 -0.5371820537 0.5067038656
#> 72 072 0 -0.009834597 -0.292177406 0.6754322344 -1.1512422449
#> 73 073 0 -0.466219253 0.317898044 0.1383998322 0.3084671398
#> 74 074 0 -0.294923901 -0.279374564 -0.4271348580 -1.3149774208
#> 75 075 0 -0.117584653 0.001375246 0.0476818429 -0.4519393705
#> 76 076 0 -0.082397433 -0.021558031 0.4130691610 -0.4664625417
#> 77 077 0 0.127000139 -0.363665093 -0.0122123385 -1.3725441483
#> 78 078 0 -0.028824301 0.138093368 -0.2741197156 -0.0867350875
#> 79 079 0 0.341805422 0.393241347 -0.4134110221 0.7040456139
#> 80 080 0 -0.048531288 -0.339327864 -0.5612954226 -1.4156655658
#> 81 081 0 -0.122362631 -0.244633833 0.2852734655 -1.0961671746
#> 82 082 0 -0.375012375 0.036574330 0.0831815628 -0.4316713687
#> 83 083 0 -0.091607933 0.346401639 0.4694589397 0.5336697882
#> 84 084 0 -0.031114486 0.201947905 0.1805931865 0.1315122092
#> 85 085 0 -0.180829675 0.142930475 0.0578636150 -0.0866016889
#> 86 086 0 0.299990157 -0.200861957 0.3518477691 -0.8416762510
#> 87 087 0 -0.429694178 -0.191846431 0.3443378758 -1.0411114847
#> 88 088 0 0.062958134 -0.113510566 -0.0810661362 -0.7210960085
#> 89 089 0 -0.216050597 -0.045264334 0.5619995306 -0.5565495920
#> 90 090 0 -0.100219759 0.119104016 0.1383201900 -0.1184102571
#> 91 091 0 -0.236236239 0.426482854 0.4582729712 0.7053578784
#> 92 092 0 -0.338054306 0.480632462 -0.2730944966 0.7471790966
#> 93 093 0 0.093802755 -0.165166307 -0.0123191126 -0.8447266529
#> 94 094 0 0.094125956 -0.239624772 -0.0532320430 -1.0505566123
#> 95 095 0 -0.085568348 -0.147391822 -0.1927448845 -0.8696062667
#> 96 096 0 0.133926063 -0.208876209 -0.1341237213 -0.9632142913
#> 97 097 0 -0.098959729 -0.434035827 0.1724294192 -1.6137232529
#> 98 098 0 -0.381516086 -0.031364456 0.1415925211 -0.6118957739
#> 99 099 0 0.297404971 0.161172204 -0.0798663229 0.0951661428
#> 100 100 0 0.165985439 0.455093541 -0.3472757288 0.8245941635
#> 101 101 0 0.153811051 0.081451359 0.3903862115 -0.1173474609
#> 102 102 0 0.032399393 -0.274517639 -0.0496012270 -1.1636319675
#> 103 103 0 0.441922147 0.199012452 0.0212166380 0.2521110501
#> 104 104 0 -0.059186114 0.029179205 -0.2100662148 -0.3847380502
#> 105 105 0 -0.000752335 0.066155810 -0.5980166862 -0.3058050621
#> 106 106 0 0.391568341 0.036738549 -0.6089262923 -0.2666759963
#> 107 107 0 -0.004698007 -0.491981124 -0.0820075343 -1.7676229567
#> 108 108 0 -0.078227253 0.278794803 0.2237284936 0.3297330689
#> 109 109 0 0.021955199 0.180457222 -0.1535014383 0.0557795826
#> 110 110 0 -0.075847432 -0.245054844 -0.2673127379 -1.1388488289
#> 111 111 0 0.132959802 -0.275501855 -0.0021096735 -1.1307590866
#> 112 112 0 -0.355902978 -0.098194908 0.3605569334 -0.7630941631
#> 113 113 0 -0.040524195 -0.125063932 -0.0833520763 -0.7842802843
#> 114 114 0 0.115664483 0.502406236 0.5984878005 1.0328765869
#> 115 115 0 0.112411765 0.393409588 0.1574875097 0.6919724100
#> 116 116 0 -0.261669676 -0.049354865 -0.0963390012 -0.6480197328
#> 117 117 0 0.079758549 -0.092786617 -0.2126575557 -0.6730715416
#> 118 118 0 0.006095567 -0.191755241 0.2882993200 -0.9132703196
#> 119 119 0 -0.060353574 -0.030109061 -0.3851271966 -0.5634462844
#> 120 120 0 0.067608338 -0.018708543 0.1684106423 -0.4375626123
#> 121 121 0 0.130815236 -0.023493714 -0.1260370038 -0.4609188238
#> 122 122 0 -0.723818710 0.101251022 -0.3277241953 -0.4045006530
#> 123 123 0 -0.093263617 0.373340887 0.7247348522 0.6319360424
#> 124 124 0 -0.145233342 -0.009190903 0.2910000683 -0.4644760790
#> 125 125 0 0.253986326 -0.206314189 0.3220386786 -0.8735275685
#> 126 126 0 0.265092786 -0.633849781 0.0207449504 -2.0592591533
#> 127 127 0 -0.229418859 -0.151747884 0.1912851243 -0.8866428701
#> 128 128 0 -0.372761600 0.393488388 0.1942059736 0.5475425445
#> 129 129 0 -0.066726698 0.060888427 0.4813136252 -0.2313347283
#> 130 130 0 0.105675793 0.075560711 -0.1747641342 -0.2050617758
#> 131 131 0 0.109174622 0.035661388 0.3606115917 -0.2581020510
#> 132 132 0 -0.026860071 -0.135790272 -0.3105496867 -0.8321004746
#> 133 133 0 -0.111954089 0.335555934 -0.0291046900 0.4477425047
#> 134 134 0 0.138947662 -0.137415484 -0.3124936574 -0.7860032327
#> 135 135 0 0.185823104 0.026513571 -0.0869147534 -0.3046197943
#> 136 136 0 -0.279494675 0.032167802 -0.1870540510 -0.4416785562
#> 137 137 0 0.447729611 -0.282772627 -0.0706074233 -1.0611314915
#> 138 138 0 0.255074984 -0.126083036 0.5703085680 -0.6306954763
#> 139 139 0 0.032347415 -0.046562431 -0.0508695235 -0.5459630935
#> 140 140 0 0.315110098 -0.008654037 -0.1079477920 -0.3625234980
#> 141 141 0 -0.345840932 0.158836750 0.1064966663 -0.0890387771
#> 142 142 0 0.217497072 0.281559986 -0.3904069212 0.3656749357
#> 143 143 0 0.153725783 -0.191776158 -0.4209958549 -0.9397642600
#> 144 144 0 0.375743135 -0.122346132 -0.3827652126 -0.6798493841
#> 145 145 0 -0.111881752 0.337047994 0.2071048169 0.4756451472
#> 146 146 0 0.367070359 -0.044216242 -0.1126046116 -0.4434878485
#> 147 147 0 0.372934207 0.369280516 -0.2834308429 0.6617408830
#> 148 148 0 0.288323225 0.002376867 0.4593090430 -0.2835738280
#> 149 149 0 -0.279419828 0.137671110 -0.0552366572 -0.1424145161
#> 150 150 0 0.066597733 0.437206542 0.1276720213 0.7936554717
#> 151 151 0 0.102453132 -0.342283788 -0.1765035006 -1.3386805045
#> 152 152 0 -0.141680014 -0.360665042 -0.1249601051 -1.4579439159
#> 153 153 0 0.410163135 0.084982554 -0.3270322809 -0.1017907940
#> 154 154 0 0.071320090 0.143253513 0.2043815005 0.0061578869
#> 155 155 0 -0.248113893 -0.207653525 -0.0790858107 -1.0711607434
#> 156 156 0 -0.290243038 -0.215208867 -0.4538232589 -1.1423351165
#> 157 157 0 -0.011329243 -0.120477107 0.1968472980 -0.7346462660
#> 158 158 0 0.162995731 -0.057866270 0.3914423730 -0.4920163942
#> 159 159 0 0.002473891 0.440064078 -0.2207530269 0.7466325438
#> 160 160 0 0.245292857 -0.192961152 -0.1651026218 -0.8891548719
#> 161 161 0 0.330957846 -0.050605335 -0.0828253969 -0.4688406144
#> 162 162 0 -0.038113158 0.227620287 0.5107137561 0.2322640805
#> 163 163 0 0.015734918 -0.021188779 0.1226752617 -0.4647610030
#> 164 164 0 0.015938799 -0.203820385 0.3014688888 -0.9416310297
#> 165 165 0 0.012781890 0.307273034 -0.5233537928 0.3593526461
#> 166 166 0 0.462654454 -0.273292016 0.1329125367 -1.0103354213
#> 167 167 0 -0.096338404 0.009512520 0.0355542945 -0.4246129054
#> 168 168 0 0.114900327 -0.294989451 -0.3040704255 -1.2195689106
#> 169 169 0 0.169035824 0.109595367 -0.3497134074 -0.1111012371
#> 170 170 0 -0.201468030 0.001862509 -0.0072131778 -0.4818069745
#> 171 171 0 0.214842154 0.456594524 -0.6620311532 0.8118378200
#> 172 172 0 0.013379877 -0.144919552 -0.3349682413 -0.8470032012
#> 173 173 0 -0.231153645 0.276328404 -0.0671480656 0.2469357479
#> 174 174 0 -0.109110670 -0.061228456 -0.0204662516 -0.6258962793
#> 175 175 0 0.193615488 -0.072971092 0.6955963408 -0.4928984230
#> 176 176 0 -0.365157566 0.321175108 0.3823199536 0.3728646333
#> 177 177 0 0.064895201 -0.100035743 0.3138265898 -0.6441338129
#> 178 178 0 0.181681968 0.124998103 0.0662663170 -0.0235115228
#> 179 179 0 -0.395839861 -0.218330014 -0.0534331412 -1.1426772311
#> 180 180 0 0.029144214 0.331650177 -0.0590482178 0.4772781318
#> 181 181 0 0.152845547 -0.186748836 -0.2934561363 -0.9135377115
#> 182 182 0 -0.033643092 0.136902398 0.2772669132 -0.0357940522
#> 183 183 0 -0.506551393 0.014966346 0.2783562142 -0.5107583814
#> 184 184 0 -0.303502258 -0.013163173 0.2407676899 -0.5287040149
#> 185 185 0 -0.399653793 0.160190214 0.3564237053 -0.0766036631
#> 186 186 0 -0.050735961 -0.044529667 -0.3049914167 -0.5915020591
#> 187 187 0 -0.146276552 -0.107165639 -0.4525747842 -0.8053664747
#> 188 188 0 -0.057549316 -0.252072594 -0.0609952331 -1.1314534963
#> 189 189 0 0.107567812 0.156230215 -0.5533147609 -0.0240505528
#> 190 190 0 0.223228648 -0.436154194 -0.1826391961 -1.5567819016
#> 191 191 0 0.060336687 0.351821399 0.4385748318 0.5917012861
#> 192 192 0 0.141223285 -0.538117558 -0.3572040031 -1.8758170829
#> 193 193 0 -0.149332370 -0.008032229 -0.3065544546 -0.5228903510
#> 194 194 0 -0.002203537 -0.347223982 -0.2200600086 -1.3884653353
#> 195 195 0 0.357998299 0.011015072 -0.0131740340 -0.2865379147
#> 196 196 0 -0.083983383 0.207893101 -0.1647862014 0.0966062837
#> 197 197 0 0.211791398 0.194314401 -0.3501519413 0.1315363507
#> 198 198 0 -0.294154615 0.259858188 -0.0336740829 0.1864120584
#> 199 199 0 0.103141838 -0.293731578 -0.0869641333 -1.1978461875
#> 200 200 0 -0.051607748 0.357024759 -0.1572021125 0.5114531518
#> 201 201 0 0.032653066 0.052417398 0.3409841054 -0.2380675382
#> 202 202 0 0.135866126 0.016955231 -0.4907867537 -0.3865563056
#> 203 203 0 -0.269410633 -0.182342846 0.2761353127 -0.9732280333
#> 204 204 0 -0.138157358 0.258733108 -0.6090378532 0.1729993825
#> 205 205 0 0.112935735 -0.130065664 -0.0330418884 -0.7458365908
#> 206 206 0 -0.029412603 0.029872393 0.1806780715 -0.3343243541
#> 207 207 0 -0.172869958 -0.011580911 -0.3855514774 -0.5476769358
#> 208 208 0 0.512622443 0.342074042 0.4111065977 0.7008046738
#> 209 209 0 0.301203215 0.004821286 0.2997285699 -0.2891144237
#> 210 210 0 -0.076730378 0.080338594 0.2248204349 -0.2075625090
#> 211 211 0 0.009504739 0.214080862 -0.2223109161 0.1361569284
#> 212 212 0 0.062029015 -0.287953760 0.1893129397 -1.1668777331
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#> 410 410 1 0.411316733 0.508447982 0.2149303463 1.1009450691
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#> 428 428 1 0.292541294 0.954588200 0.2738308252 2.2797175433
#> 429 429 1 -0.219902402 0.541180161 -0.3328394069 0.9413753454
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#> 442 442 1 0.556566359 0.263162689 0.0146480670 0.4603647071
#> 443 443 1 0.471261811 0.201561280 0.5611098190 0.3224724260
#> 444 444 1 0.344146729 -0.082343379 0.5274929138 -0.4892363065
#> 445 445 1 0.232887464 0.336723779 0.1472839749 0.5741479320
#> 446 446 1 -0.326102120 0.703955901 0.1084848725 1.3945996544
#> 447 447 1 0.550176973 0.392921830 0.2041149542 0.8292088836
#> 448 448 1 0.395578173 0.182249737 -0.0446920630 0.1858586998
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#> 450 450 1 0.137325915 0.137789144 0.2591642398 0.0170586994
#> 451 451 1 -0.018684758 0.279135381 0.1930823554 0.3457694947
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#> 461 461 1 0.108936461 0.264076603 0.3727302843 0.3621075442
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#> 463 463 1 0.167257847 0.394153309 -0.2495147422 0.6696861076
#> 464 464 1 0.362663121 0.094628099 -0.4291944638 -0.1004824221
#> 465 465 1 0.300646711 0.455798580 -0.1033187512 0.8922981410
#> 466 466 1 -0.267716003 0.261961352 -0.2702456548 0.1763229004
#> 467 467 1 0.199223615 0.453027960 -0.2038826728 0.8436292769
#> 468 468 1 0.218184556 0.102698974 0.4810955303 -0.0309244628
#> 469 469 1 -0.202844119 -0.164073442 0.0287986773 -0.9283194944
#> 470 470 1 0.425321425 0.432074546 -0.4634413980 0.8297803067
#> 471 471 1 -0.168498679 0.597595677 -0.5178060179 1.0913266323
#> 472 472 1 0.601291009 0.131714529 -0.1973120818 0.0963945816
#> 473 473 1 0.112446390 0.647555320 0.3950149976 1.4047479787
#> 474 474 1 0.107125008 0.432028971 0.0492498676 0.7841009869
#> 475 475 1 -0.190250815 0.669278266 0.2110933019 1.3525080974
#> 476 476 1 0.028377595 0.272155724 -0.2499281322 0.2965373021
#> 477 477 1 0.268067808 0.281510686 -0.4305742309 0.3769506416
#> 478 478 1 0.131169657 0.212659821 0.4473257888 0.2370816596
#> 479 479 1 0.434081946 0.332236209 0.3705175455 0.6460309335
#> 480 480 1 -0.176954807 -0.097506827 -0.1982094518 -0.7629002683
#> 481 481 1 -0.232948396 -0.056075492 0.4812947455 -0.5991613352
#> 482 482 1 0.262907945 -0.099785253 0.2847873814 -0.5858400910
#> 483 483 1 -0.200595535 -0.033395141 0.2773401333 -0.5483815778
#> 484 484 1 0.463836179 0.498084231 -0.0545169888 1.0617246017
#> 485 485 1 0.077376278 0.290040375 0.2120507018 0.4066108373
#> 486 486 1 0.389921221 0.056364778 0.5051158390 -0.1015661855
#> 487 487 1 0.589952619 0.302386112 -0.0535980760 0.5699908882
#> 488 488 1 0.008014426 0.609065767 0.3708864668 1.2660656661
#> 489 489 1 0.177152122 0.062421651 0.2134261458 -0.1796432476
#> 490 490 1 0.139458570 0.079076014 0.2851816241 -0.1387902351
#> 491 491 1 0.139216518 0.427545508 -0.1122076660 0.7654689652
#> 492 492 1 0.072866421 -0.028346827 -0.1805448634 -0.4972911754
#> 493 493 1 0.092385063 0.505021511 0.3642597970 1.0092098528
#> 494 494 1 0.338266376 -0.246603644 0.2017351792 -0.9690919369
#> 495 495 1 0.209351781 0.319314549 -0.3750222364 0.4670607465
#> 496 496 1 0.118749834 1.140651738 0.2825105214 2.7317305495
#> 497 497 1 0.090723700 0.120404958 0.1641119336 -0.0538979236
#> 498 498 1 0.091211650 0.198749816 0.0940990422 0.1515192127
#> 499 499 1 -0.079448914 0.392459439 0.0487288937 0.6197578943
#> 500 500 1 0.096625724 0.067969929 -0.1057706049 -0.2214394220