Simulation of confidence ratings and RTs in the Multiple-threshold Log-normal Race Model
Source:R/simulateMTLNR.R
simulateMTLNR.RdSimulates the decision responses and reaction times together with a
discrete confidence judgment in the MTLNR (Reynolds et al., 2020),
given specific parameter constellations.
See dMTLNR for more information about parameters.
Also computes the Gamma rank correlation between the confidence ratings and condition
(task difficulty), reaction times and accuracy in the simulated output.
Basically, this function is a wrapper for rMTLNR
for application in confidence experiments with manipulation of specific parameters.
Usage
simulateMTLNR(paramDf, n = 10000, gamma = FALSE, agg_simus = FALSE,
stimulus = c(1, 2), seed = NULL)Arguments
- paramDf
a list or data frame with one row. Column names should match the following names (see dMTLNR): For different stimulus quality/mean drift rates, names should be
v1,v2,v3,.... (corresponding to the mean parameter for the accumulation rate for the stimulus-corresponding accumulator, thereforemu_v1andmu_v2are not used in this context but replaced by the parameterv);mu_d1andmu_d2correspond to the mean parameters for boundary distance of the two accumulators;s1ands2correspond to the variance parameters of the first and second boundary hitting time;rhocorresponds to the correlation of boundary hitting times. Note thats_v1,s_v2,rho_v,s_d1,s_d2, andrho_dare not used in this context, although the accumulation rate-related parameters can be used to replace the above-mentioned variance parameters. Additionally, the confidence thresholds should be given by names withthetaUpper1,thetaUpper2,...,thetaLower1,... or, for symmetric thresholds only bytheta1,theta2,.... (see Details for the correspondence to the data)- n
integer. The number of samples (per condition and stimulus direction) generated. Total number of samples is
n*nConditions*length(stimulus).- gamma
logical. If TRUE, the gamma correlation between confidence ratings, rt and accuracy is computed.
- agg_simus
logical. Simulation is done on a trial basis with RTs outcome. If TRUE, the simulations will be aggregated over RTs to return only the distribution of response and confidence ratings. Default: FALSE.
- stimulus
numeric vector. Either 1, 2 or c(1,2) (default). Together with condition represents the experimental situation. In a binary decision task the presented stimulus belongs to one of two categories. In the default setting trials with both categories presented are simulated but one can choose to simulate only trials with the stimulus coming from one category (1 for the category that is associated with positive drift in the decision process where 1 responses are considered correct and 2 correspondingly for negative drifts and 2 correct decisions).
- seed
numerical. Seeding for non-random data generation.
Value
Depending on gamma and agg_simus.
If gamma is FALSE, returns a data.frame with columns: condition,
stimulus, response, correct, rt, conf (the continuous confidence
measure) and rating (the discrete confidence rating), and dec and vis
(only if process_results=TRUE) for the final states of accumulators in the
simulation or
(if agg_simus=TRUE): condition, stimulus,response, correct,
rating and p (for the probability of a response and rating, given
the condition and stimulus).
If gamma is TRUE, returns a list with elements:
simus (the simulated data frame) and gamma, which is again a list with elements
condition, rt and correct, each a tibble with two columns (see details for more
information).
Details
Simulation is done by simulating normally distributed logarithms of boundary crossing times for both accumulators based on the MTLNR model. The smaller time determines decision time and response (i.e. the winning accumulator). The confidence variable is computed based on the log-ratio of the loosing boundary crossing time over the winning boundary crossing time.
The confidence values are then binned according to the given thresholds.
The output of the fitting function fitRTConf with the respective model
fits the argument paramDf for simulation.
The Gamma coefficients are computed separately for correct/incorrect responses for the
correlation of confidence ratings with condition and rt and separately for conditions
for the correlation of accuracy and confidence. The
resulting data frames in the output thus have two columns. One for the grouping variable
and one for the Gamma coefficient.
Note
Different parameters for different conditions are only allowed for drift rate,
v.
All other parameters are used for all conditions.
References
Reynolds, A., Kvam, P. D., Osth, A. F., & Heathcote, A. (2020). Correlated racing evidence accumulator models. Journal of Mathematical Psychology, 96, 102331. doi: doi: 10.1016/j.jmp.2020.102331
Examples
# 1. Define some parameter set in a data.frame
paramDf <- data.frame(v1=0.5, v2=1.0, t0=0.1, st0=0,
mu_d1=1, mu_d2=1,
s1=0.5, s2=0.5, rho=0.2,
theta1=0.8, theta2=1.5)
# 2. Simulate trials for both stimulus categories and all conditions (2)
simus <- simulateMTLNR(paramDf)
head(simus)
#> condition stimulus response correct rt conf rating
#> 1 1 1 2 0 3.143987 0.1153089 1
#> 2 1 1 1 1 1.708294 0.9622876 2
#> 3 1 1 2 0 3.245038 0.2953091 1
#> 4 1 1 1 1 0.982370 1.8983598 3
#> 5 1 1 1 1 1.851657 0.3736581 1
#> 6 1 1 2 0 2.858774 0.1045750 1
# \donttest{
library(ggplot2)
simus <- simus[simus$response != 0, ]
simus$rating <- factor(simus$rating, labels = c("unsure", "medium", "sure"))
ggplot(simus, aes(x = rt, group = interaction(correct, rating),
color = as.factor(correct), linetype = rating)) +
geom_density(linewidth = 1.2, na.rm=TRUE) + xlim(c(0, 5)) +
facet_grid(rows = vars(condition), labeller = "label_both")
# }
# automatically aggregate simulation distribution
# to get only accuracy x confidence rating distribution for
# all conditions
agg_simus <- simulateMTLNR(paramDf, agg_simus = TRUE)
head(agg_simus)
#> # A tibble: 6 × 4
#> rating correct condition p
#> <dbl> <dbl> <int> <dbl>
#> 1 1 0 1 0.196
#> 2 1 0 2 0.0533
#> 3 1 1 1 0.462
#> 4 1 1 2 0.316
#> 5 2 0 1 0.0199
#> 6 2 0 2 0.0019
# \donttest{
agg_simus$rating <- factor(agg_simus$rating, labels = c("unsure", "medium", "sure"))
library(ggplot2)
ggplot(agg_simus, aes(x = rating, group = correct, fill = as.factor(correct), y = p)) +
geom_bar(stat = "identity", position = "dodge") +
facet_grid(cols = vars(condition), labeller = "label_both")
# }
# \donttest{
# Compute Gamma correlation coefficients between
# confidence and other behavioral measures
# output will be a list
simu_list <- simulateMTLNR(paramDf, n = 400, gamma = TRUE)
simu_list
#> $simus
#> condition stimulus response correct rt conf rating
#> 1 1 1 1 1 1.8116522 1.158590662 2
#> 2 1 1 2 0 1.3523427 1.529925065 3
#> 3 1 1 1 1 2.9137274 0.072417133 1
#> 4 1 1 1 1 1.0075402 0.628196859 1
#> 5 1 1 1 1 1.4826479 0.278131181 1
#> 6 1 1 1 1 1.0850394 0.121759585 1
#> 7 1 1 1 1 2.3181014 0.068373630 1
#> 8 1 1 1 1 2.5406678 1.043317626 2
#> 9 1 1 1 1 1.9718261 0.031788670 1
#> 10 1 1 1 1 1.4092074 0.997556645 2
#> 11 1 1 1 1 1.0372018 0.197333786 1
#> 12 1 1 1 1 0.8604065 0.942290337 2
#> 13 1 1 2 0 2.3004909 0.056597067 1
#> 14 1 1 2 0 3.0597409 0.005472613 1
#> 15 1 1 1 1 1.5176915 1.220115960 2
#> 16 1 1 1 1 2.3273301 0.462496429 1
#> 17 1 1 1 1 2.6068086 0.656345414 1
#> 18 1 1 1 1 4.9398604 0.299397949 1
#> 19 1 1 1 1 1.4246893 1.262458600 2
#> 20 1 1 1 1 2.4653028 0.309312331 1
#> 21 1 1 1 1 1.1983257 0.325723883 1
#> 22 1 1 1 1 1.2382110 0.649230921 1
#> 23 1 1 1 1 1.3175985 0.444625706 1
#> 24 1 1 1 1 1.8011591 1.125358895 2
#> 25 1 1 1 1 1.3881344 0.328342726 1
#> 26 1 1 1 1 2.0274024 0.124877477 1
#> 27 1 1 1 1 1.4668652 0.491557326 1
#> 28 1 1 1 1 2.8588519 0.562273725 1
#> 29 1 1 1 1 1.3258442 1.104265161 2
#> 30 1 1 1 1 1.3915468 0.580561903 1
#> 31 1 1 1 1 1.3192429 0.600487113 1
#> 32 1 1 1 1 2.1164979 0.146945030 1
#> 33 1 1 1 1 1.8024168 0.535196687 1
#> 34 1 1 1 1 1.3524653 0.495192362 1
#> 35 1 1 1 1 1.0732437 0.552270202 1
#> 36 1 1 1 1 1.1832682 0.792444507 1
#> 37 1 1 1 1 0.5271353 2.143279755 3
#> 38 1 1 1 1 1.6073500 0.560377447 1
#> 39 1 1 2 0 1.1368420 0.621761768 1
#> 40 1 1 1 1 3.7617529 0.521788845 1
#> 41 1 1 1 1 2.5028639 0.342381906 1
#> 42 1 1 1 1 3.1531892 0.558867453 1
#> 43 1 1 1 1 1.5618006 1.144052746 2
#> 44 1 1 1 1 1.3346253 0.877810220 2
#> 45 1 1 2 0 2.1297901 0.459787136 1
#> 46 1 1 1 1 1.4487733 0.526212494 1
#> 47 1 1 1 1 0.8112005 0.727489419 1
#> 48 1 1 1 1 1.0842246 0.998603653 2
#> 49 1 1 1 1 2.0391835 0.791587852 1
#> 50 1 1 1 1 2.3587458 0.007589279 1
#> 51 1 1 1 1 2.1175428 0.426908306 1
#> 52 1 1 1 1 1.6721738 1.017543506 2
#> 53 1 1 1 1 1.6623036 0.316959905 1
#> 54 1 1 1 1 1.8102180 1.731168940 3
#> 55 1 1 1 1 1.3868767 0.719061795 1
#> 56 1 1 1 1 1.7490421 0.816199592 2
#> 57 1 1 1 1 1.0791458 0.193790222 1
#> 58 1 1 1 1 2.4572985 0.543281169 1
#> 59 1 1 1 1 1.2970059 0.760459079 1
#> 60 1 1 1 1 0.6955090 0.180055567 1
#> 61 1 1 1 1 2.5321075 0.839436439 2
#> 62 1 1 1 1 1.5117680 0.614841719 1
#> 63 1 1 1 1 1.7750612 0.926918262 2
#> 64 1 1 1 1 0.7528254 1.205771929 2
#> 65 1 1 1 1 0.9378963 1.514095218 3
#> 66 1 1 1 1 0.8564914 1.231038148 2
#> 67 1 1 1 1 1.0480946 0.300646372 1
#> 68 1 1 1 1 1.6266310 0.689568386 1
#> 69 1 1 1 1 0.7293688 1.305289463 2
#> 70 1 1 1 1 2.2068536 0.251293920 1
#> 71 1 1 1 1 0.7758796 0.888105123 2
#> 72 1 1 1 1 1.1758203 1.576632422 3
#> 73 1 1 1 1 0.9207119 0.910979622 2
#> 74 1 1 2 0 1.6568773 0.102335011 1
#> 75 1 1 1 1 0.9288884 1.720790152 3
#> 76 1 1 2 0 1.6884191 0.144051289 1
#> 77 1 1 2 0 2.0260618 0.404506901 1
#> 78 1 1 1 1 2.9746288 0.554278870 1
#> 79 1 1 1 1 4.0801281 0.349998067 1
#> 80 1 1 1 1 2.2322766 1.473638397 2
#> 81 1 1 1 1 2.4242285 0.359983606 1
#> 82 1 1 1 1 1.4069188 0.712582493 1
#> 83 1 1 1 1 2.2467248 0.512569610 1
#> 84 1 1 1 1 2.5302205 0.121209001 1
#> 85 1 1 1 1 2.2319249 0.103614430 1
#> 86 1 1 1 1 1.4818054 0.977207902 2
#> 87 1 1 1 1 1.8923335 1.122161719 2
#> 88 1 1 2 0 1.6483718 0.352839368 1
#> 89 1 1 1 1 1.1366756 0.722474993 1
#> 90 1 1 2 0 2.1785209 0.259797247 1
#> 91 1 1 1 1 2.3175351 0.445783770 1
#> 92 1 1 1 1 1.5662292 0.575126259 1
#> 93 1 1 1 1 1.8882331 1.084850335 2
#> 94 1 1 1 1 0.9749283 0.053737874 1
#> 95 1 1 1 1 1.2992836 0.892297895 2
#> 96 1 1 1 1 1.1158787 0.857482607 2
#> 97 1 1 1 1 2.2060305 0.215949678 1
#> 98 1 1 1 1 0.7246157 1.718609068 3
#> 99 1 1 1 1 1.2011658 0.654390666 1
#> 100 1 1 1 1 2.2532935 0.811643736 2
#> 101 1 1 1 1 1.7164704 0.189263097 1
#> 102 1 1 2 0 2.2201121 0.032256060 1
#> 103 1 1 1 1 1.0574805 2.194003788 3
#> 104 1 1 1 1 0.8488883 1.071239317 2
#> 105 1 1 1 1 1.2026462 0.604428756 1
#> 106 1 1 1 1 2.5681175 0.156682157 1
#> 107 1 1 1 1 3.7152579 0.564820315 1
#> 108 1 1 1 1 1.4027359 1.042971776 2
#> 109 1 1 1 1 1.1679669 1.361331517 2
#> 110 1 1 1 1 1.2756862 1.211715972 2
#> 111 1 1 1 1 1.9448088 0.643082969 1
#> 112 1 1 1 1 2.1468771 0.866194902 2
#> 113 1 1 1 1 0.9130456 1.319342866 2
#> 114 1 1 2 0 0.9937058 0.491308658 1
#> 115 1 1 1 1 1.4639449 0.781559672 1
#> 116 1 1 1 1 1.6708214 0.130884022 1
#> 117 1 1 1 1 1.8542443 0.674236955 1
#> 118 1 1 1 1 2.2094311 0.296669175 1
#> 119 1 1 1 1 1.1189099 1.504821655 3
#> 120 1 1 1 1 2.5576778 0.880738089 2
#> 121 1 1 1 1 1.3172623 1.147470782 2
#> 122 1 1 1 1 1.1817560 0.496425338 1
#> 123 1 1 1 1 1.6871276 0.912755438 2
#> 124 1 1 1 1 1.6042086 0.863188218 2
#> 125 1 1 1 1 2.9095656 0.716198506 1
#> 126 1 1 2 0 2.7986312 0.389521610 1
#> 127 1 1 1 1 1.0825923 0.597826957 1
#> 128 1 1 1 1 1.9824666 0.358784658 1
#> 129 1 1 1 1 2.0678077 0.509000516 1
#> 130 1 1 1 1 2.0291582 0.478738348 1
#> 131 1 1 1 1 2.2561550 0.198954535 1
#> 132 1 1 2 0 3.5115063 0.106585593 1
#> 133 1 1 1 1 3.0011873 0.485775771 1
#> 134 1 1 1 1 2.9012195 0.057602334 1
#> 135 1 1 1 1 1.3812013 0.240279888 1
#> 136 1 1 1 1 1.9065978 0.349102994 1
#> 137 1 1 2 0 1.1660969 0.393053150 1
#> 138 1 1 1 1 0.8711080 1.537715788 3
#> 139 1 1 1 1 1.2772639 0.863972639 2
#> 140 1 1 1 1 1.5763950 1.014318106 2
#> 141 1 1 1 1 1.0741313 1.072730144 2
#> 142 1 1 1 1 1.2877725 0.578667552 1
#> 143 1 1 1 1 1.5164126 0.659138752 1
#> 144 1 1 1 1 1.0545176 0.389512792 1
#> 145 1 1 2 0 1.2880044 0.239609442 1
#> 146 1 1 1 1 3.5092698 0.037505101 1
#> 147 1 1 1 1 1.9411405 0.564890522 1
#> 148 1 1 1 1 0.9790105 1.205314406 2
#> 149 1 1 2 0 1.1726752 0.342195253 1
#> 150 1 1 1 1 1.4580823 0.766129772 1
#> 151 1 1 1 1 2.5980171 0.614739602 1
#> 152 1 1 1 1 1.4401964 0.720515088 1
#> 153 1 1 1 1 1.9551756 1.164903394 2
#> 154 1 1 1 1 1.2231159 1.383419887 2
#> 155 1 1 1 1 0.7405662 0.971096331 2
#> 156 1 1 1 1 2.4078067 0.023933981 1
#> 157 1 1 1 1 2.5763461 0.446108854 1
#> 158 1 1 1 1 1.8732215 0.013440695 1
#> 159 1 1 1 1 1.2201518 1.416243802 2
#> 160 1 1 1 1 1.5393510 1.212554636 2
#> 161 1 1 1 1 1.0181602 1.585202936 3
#> 162 1 1 1 1 1.0303611 0.225667254 1
#> 163 1 1 2 0 2.9523798 0.205430389 1
#> 164 1 1 1 1 1.4355768 1.527998538 3
#> 165 1 1 1 1 1.2742973 0.774539287 1
#> 166 1 1 1 1 3.1337731 0.367337573 1
#> 167 1 1 2 0 3.1335113 0.422697634 1
#> 168 1 1 1 1 0.8738229 1.565305147 3
#> 169 1 1 1 1 0.9930712 1.867129850 3
#> 170 1 1 1 1 1.9768460 0.651224877 1
#> 171 1 1 1 1 1.5322231 0.667186062 1
#> 172 1 1 1 1 3.1455548 0.034812463 1
#> 173 1 1 1 1 1.7118885 1.795291972 3
#> 174 1 1 1 1 0.8913986 0.769883614 1
#> 175 1 1 1 1 1.0745892 1.189686263 2
#> 176 1 1 1 1 0.8501432 1.428651664 2
#> 177 1 1 1 1 0.7351832 1.776102088 3
#> 178 1 1 1 1 2.2096504 0.284183274 1
#> 179 1 1 1 1 1.7195509 0.630529576 1
#> 180 1 1 1 1 1.0459634 0.610379543 1
#> 181 1 1 1 1 2.1504587 0.511511339 1
#> 182 1 1 1 1 1.4756530 0.596319023 1
#> 183 1 1 2 0 1.8183343 0.455274327 1
#> 184 1 1 1 1 1.6720336 1.014203858 2
#> 185 1 1 1 1 1.7536469 0.720499575 1
#> 186 1 1 1 1 1.1076714 0.469810952 1
#> 187 1 1 1 1 2.4616165 0.286334180 1
#> 188 1 1 1 1 2.1404711 0.290242727 1
#> 189 1 1 1 1 1.8735523 0.354626629 1
#> 190 1 1 1 1 1.3305565 1.758041966 3
#> 191 1 1 1 1 3.9393270 0.192229051 1
#> 192 1 1 2 0 1.4588258 0.756081404 1
#> 193 1 1 1 1 2.1492690 0.799053273 1
#> 194 1 1 1 1 0.8663827 0.796806355 1
#> 195 1 1 1 1 0.9042634 2.274361440 3
#> 196 1 1 1 1 1.3826061 0.481170881 1
#> 197 1 1 1 1 1.6657200 0.663731445 1
#> 198 1 1 2 0 2.5715274 0.071911120 1
#> 199 1 1 1 1 0.8432517 1.331502913 2
#> 200 1 1 1 1 1.1310921 0.084887199 1
#> 201 1 1 2 0 3.1471421 0.084465557 1
#> 202 1 1 1 1 1.5017689 1.232463546 2
#> 203 1 1 1 1 1.7158233 0.563352673 1
#> 204 1 1 1 1 1.9443199 1.102507734 2
#> 205 1 1 1 1 1.0400296 0.179130253 1
#> 206 1 1 2 0 2.9594931 0.395285434 1
#> 207 1 1 1 1 0.6031574 1.030628765 2
#> 208 1 1 1 1 0.4003214 1.504640893 3
#> 209 1 1 1 1 3.0531641 0.226190502 1
#> 210 1 1 1 1 0.8638986 0.938207018 2
#> 211 1 1 1 1 2.3300456 1.128605637 2
#> 212 1 1 1 1 1.4341238 1.064105380 2
#> 213 1 1 1 1 4.5540799 0.152462895 1
#> 214 1 1 1 1 1.2820546 1.186453257 2
#> 215 1 1 1 1 1.5998224 0.734069454 1
#> 216 1 1 1 1 2.1747907 0.513956641 1
#> 217 1 1 1 1 1.6851061 0.754112948 1
#> 218 1 1 2 0 1.2801516 0.115615186 1
#> 219 1 1 1 1 1.0901954 1.334569358 2
#> 220 1 1 2 0 1.7328207 0.848337887 2
#> 221 1 1 1 1 2.2386856 0.224483218 1
#> 222 1 1 1 1 1.2475541 0.256674184 1
#> 223 1 1 2 0 2.4171468 0.052599215 1
#> 224 1 1 1 1 1.5833708 0.873826231 2
#> 225 1 1 1 1 3.2707990 1.366444122 2
#> 226 1 1 1 1 2.0468959 0.815752514 2
#> 227 1 1 1 1 2.1766964 0.176356744 1
#> 228 1 1 1 1 2.9646457 0.032419066 1
#> 229 1 1 2 0 3.3378940 0.443067114 1
#> 230 1 1 1 1 2.3014347 0.989880482 2
#> 231 1 1 1 1 1.9251275 0.489319530 1
#> 232 1 1 1 1 1.7120447 0.964156002 2
#> 233 1 1 1 1 1.2717864 0.828839021 2
#> 234 1 1 1 1 2.5622260 0.573625884 1
#> 235 1 1 2 0 1.5505198 0.543181528 1
#> 236 1 1 1 1 1.9870878 0.132599926 1
#> 237 1 1 1 1 2.2596021 0.408900941 1
#> 238 1 1 1 1 2.2834840 0.539578029 1
#> 239 1 1 1 1 1.6041740 0.270933862 1
#> 240 1 1 1 1 1.3457893 0.476432286 1
#> 241 1 1 1 1 2.0476568 0.926838398 2
#> 242 1 1 2 0 2.1618410 0.547404670 1
#> 243 1 1 1 1 2.5213540 0.191507785 1
#> 244 1 1 1 1 1.6808019 0.451394872 1
#> 245 1 1 1 1 1.2204614 1.577907444 3
#> 246 1 1 2 0 1.2941377 1.109219721 2
#> 247 1 1 2 0 1.9784095 0.304765653 1
#> 248 1 1 1 1 0.7560452 1.537266919 3
#> 249 1 1 1 1 1.2722038 1.098390855 2
#> 250 1 1 1 1 2.0999573 0.858579650 2
#> 251 1 1 1 1 2.3058356 0.541734962 1
#> 252 1 1 1 1 2.5519625 1.046215291 2
#> 253 1 1 1 1 1.7443732 0.320870621 1
#> 254 1 1 1 1 2.2710131 0.746988679 1
#> 255 1 1 1 1 2.4657673 0.197672981 1
#> 256 1 1 1 1 0.6896428 1.513522981 3
#> 257 1 1 1 1 3.9505083 0.400975544 1
#> 258 1 1 1 1 0.8736047 0.688372233 1
#> 259 1 1 1 1 3.4336213 0.144276221 1
#> 260 1 1 1 1 1.6738551 0.764130446 1
#> 261 1 1 1 1 1.4252381 0.838022864 2
#> 262 1 1 1 1 1.5143338 0.448181155 1
#> 263 1 1 1 1 1.8165000 0.766425887 1
#> 264 1 1 1 1 0.6885239 1.320770674 2
#> 265 1 1 1 1 1.1132197 0.140930389 1
#> 266 1 1 1 1 0.9437480 1.836314665 3
#> 267 1 1 1 1 2.1946997 0.575984913 1
#> 268 1 1 2 0 1.5566373 1.225769974 2
#> 269 1 1 1 1 1.0604796 0.397342868 1
#> 270 1 1 2 0 1.1675974 1.215283989 2
#> 271 1 1 1 1 2.0531829 0.305802295 1
#> 272 1 1 2 0 1.4381937 0.371537666 1
#> 273 1 1 1 1 0.9804596 1.068559143 2
#> 274 1 1 1 1 1.1192877 2.254330780 3
#> 275 1 1 1 1 1.7628817 0.354749538 1
#> 276 1 1 1 1 3.0749942 0.056274767 1
#> 277 1 1 1 1 1.4164243 1.023067403 2
#> 278 1 1 2 0 5.2726858 0.042666134 1
#> 279 1 1 2 0 1.9607178 0.374762100 1
#> 280 1 1 2 0 2.6844630 0.389927341 1
#> 281 1 1 1 1 4.0151004 0.523141496 1
#> 282 1 1 2 0 1.5552768 1.005190836 2
#> 283 1 1 2 0 2.4506507 0.087014303 1
#> 284 1 1 2 0 2.0866624 0.237694419 1
#> 285 1 1 2 0 1.6280260 0.336030453 1
#> 286 1 1 1 1 1.9883538 0.902468644 2
#> 287 1 1 1 1 2.6094703 0.679858266 1
#> 288 1 1 1 1 2.4666588 0.233009957 1
#> 289 1 1 1 1 2.4270763 0.251682310 1
#> 290 1 1 1 1 1.0467417 1.011763170 2
#> 291 1 1 1 1 1.5113565 1.798427129 3
#> 292 1 1 2 0 1.6046834 0.186574371 1
#> 293 1 1 1 1 0.5465751 1.617642828 3
#> 294 1 1 1 1 1.4443336 0.059646732 1
#> 295 1 1 2 0 1.6483664 0.123024128 1
#> 296 1 1 1 1 1.8892999 0.908414992 2
#> 297 1 1 2 0 1.7599585 0.073661830 1
#> 298 1 1 1 1 1.4152226 0.635281360 1
#> 299 1 1 1 1 0.8673510 0.365308858 1
#> 300 1 1 1 1 1.2475874 1.096885773 2
#> 301 1 1 1 1 1.7822317 0.389266680 1
#> 302 1 1 1 1 1.0454914 1.543628334 3
#> 303 1 1 1 1 1.3003939 1.138235507 2
#> 304 1 1 1 1 1.8531579 0.607337704 1
#> 305 1 1 1 1 0.6392724 2.195635707 3
#> 306 1 1 1 1 2.3277333 0.915238250 2
#> 307 1 1 1 1 0.9898822 0.186459270 1
#> 308 1 1 2 0 2.4014157 0.638765542 1
#> 309 1 1 1 1 1.8104146 0.952201452 2
#> 310 1 1 1 1 2.1559363 0.104404143 1
#> 311 1 1 1 1 1.0072444 0.419941538 1
#> 312 1 1 1 1 2.1308141 1.065916795 2
#> 313 1 1 1 1 2.5221669 0.696781122 1
#> 314 1 1 1 1 1.0384242 1.834600421 3
#> 315 1 1 1 1 1.5365533 0.351921330 1
#> 316 1 1 1 1 2.3757677 0.022585719 1
#> 317 1 1 1 1 2.2659211 0.971151960 2
#> 318 1 1 1 1 0.8318140 0.253825404 1
#> 319 1 1 1 1 1.6004231 1.480953956 2
#> 320 1 1 1 1 0.9280784 1.352950527 2
#> 321 1 1 1 1 1.6548134 0.366103482 1
#> 322 1 1 1 1 2.0146173 0.849581045 2
#> 323 1 1 1 1 1.0946452 0.785204734 1
#> 324 1 1 1 1 1.6383787 0.550719906 1
#> 325 1 1 1 1 1.9101962 0.629795291 1
#> 326 1 1 2 0 1.0500703 1.190320512 2
#> 327 1 1 2 0 1.3918137 0.078377839 1
#> 328 1 1 1 1 2.8044187 0.275363395 1
#> 329 1 1 1 1 2.4572406 0.135251214 1
#> 330 1 1 1 1 1.2028761 1.111898246 2
#> 331 1 1 1 1 1.6534039 1.027250535 2
#> 332 1 1 1 1 1.8683156 1.462026077 2
#> 333 1 1 1 1 1.2711551 0.975296228 2
#> 334 1 1 1 1 1.1160439 0.527713574 1
#> 335 1 1 1 1 1.4840898 1.310048679 2
#> 336 1 1 2 0 2.2643580 0.313692217 1
#> 337 1 1 1 1 1.2787292 0.865239996 2
#> 338 1 1 1 1 1.6067579 0.798218765 1
#> 339 1 1 1 1 2.0103554 0.566017939 1
#> 340 1 1 1 1 1.8256859 0.873312065 2
#> 341 1 1 1 1 0.7961265 0.487796847 1
#> 342 1 1 1 1 1.3472293 0.475312464 1
#> 343 1 1 1 1 1.3881451 0.261225048 1
#> 344 1 1 1 1 0.7165721 2.149491469 3
#> 345 1 1 1 1 1.1757174 0.931758827 2
#> 346 1 1 1 1 1.6017119 0.390664859 1
#> 347 1 1 1 1 2.4835055 0.532511769 1
#> 348 1 1 1 1 1.1594607 0.624739403 1
#> 349 1 1 2 0 1.5493106 0.277065058 1
#> 350 1 1 1 1 1.2315743 1.549427816 3
#> 351 1 1 1 1 1.0777172 1.016463010 2
#> 352 1 1 1 1 2.1076711 0.631568049 1
#> 353 1 1 2 0 1.6416456 0.518922092 1
#> 354 1 1 1 1 0.6916229 0.929487424 2
#> 355 1 1 1 1 0.9310229 1.027371364 2
#> 356 1 1 1 1 1.7367931 1.001676334 2
#> 357 1 1 1 1 1.3821461 0.411102953 1
#> 358 1 1 1 1 1.8602245 0.604981075 1
#> 359 1 1 1 1 0.9183453 0.925653566 2
#> 360 1 1 1 1 1.2351774 0.924961567 2
#> 361 1 1 1 1 0.7457948 0.951027049 2
#> 362 1 1 1 1 1.4687258 0.920401691 2
#> 363 1 1 1 1 1.1123434 1.242350302 2
#> 364 1 1 1 1 1.4020107 0.272026747 1
#> 365 1 1 1 1 1.4237152 0.442232749 1
#> 366 1 1 1 1 1.9412096 0.533149185 1
#> 367 1 1 1 1 4.2254285 0.401402716 1
#> 368 1 1 1 1 1.8431799 0.649480136 1
#> 369 1 1 1 1 1.7661526 0.393917603 1
#> 370 1 1 1 1 2.7578025 0.720593218 1
#> 371 1 1 2 0 1.6299664 0.671139829 1
#> 372 1 1 1 1 3.0049771 0.309375243 1
#> 373 1 1 1 1 0.8661363 1.529558782 3
#> 374 1 1 1 1 1.2300809 0.482481634 1
#> 375 1 1 1 1 1.2655831 1.130194328 2
#> 376 1 1 1 1 1.2158844 1.171234978 2
#> 377 1 1 1 1 2.0613504 1.161456259 2
#> 378 1 1 1 1 1.2999011 0.939224634 2
#> 379 1 1 2 0 1.4811279 0.237417567 1
#> 380 1 1 1 1 2.0914734 1.019638522 2
#> 381 1 1 2 0 1.5080856 0.224755694 1
#> 382 1 1 1 1 1.8162242 0.600906849 1
#> 383 1 1 2 0 2.4991053 0.157146216 1
#> 384 1 1 1 1 1.2646834 0.956304277 2
#> 385 1 1 1 1 0.9906608 1.553365523 3
#> 386 1 1 1 1 1.5992870 0.946789710 2
#> 387 1 1 1 1 1.3592253 0.427486329 1
#> 388 1 1 1 1 1.9270895 0.581209467 1
#> 389 1 1 1 1 1.6283380 0.700828980 1
#> 390 1 1 1 1 2.0070290 0.957392795 2
#> 391 1 1 1 1 1.8296226 0.194424197 1
#> 392 1 1 1 1 2.2850758 0.067544172 1
#> 393 1 1 1 1 1.3687269 0.465013637 1
#> 394 1 1 2 0 2.4781871 0.185976610 1
#> 395 1 1 1 1 1.7095051 0.409219875 1
#> 396 1 1 2 0 1.1206323 0.258095561 1
#> 397 1 1 1 1 1.8651694 0.523519562 1
#> 398 1 1 1 1 0.7162102 1.349089409 2
#> 399 1 1 1 1 0.8121433 1.444203483 2
#> 400 1 1 1 1 3.0263759 0.340726302 1
#> 401 2 1 1 1 0.9138854 1.213339651 2
#> 402 2 1 1 1 1.8242544 0.615748907 1
#> 403 2 1 1 1 0.8102736 1.286485736 2
#> 404 2 1 1 1 0.7556187 1.422164995 2
#> 405 2 1 1 1 0.9436903 0.931642096 2
#> 406 2 1 1 1 1.4583628 0.717058818 1
#> 407 2 1 1 1 0.6225533 1.936809749 3
#> 408 2 1 1 1 1.7147988 0.869933073 2
#> 409 2 1 2 0 1.5433123 0.330114053 1
#> 410 2 1 1 1 1.9122547 0.635197248 1
#> 411 2 1 1 1 1.2262425 0.723221794 1
#> 412 2 1 1 1 1.1782177 1.415895247 2
#> 413 2 1 1 1 0.5609929 1.871815843 3
#> 414 2 1 1 1 0.9500170 0.820383964 2
#> 415 2 1 1 1 0.7681785 2.175304965 3
#> 416 2 1 1 1 1.2460423 0.637434283 1
#> 417 2 1 1 1 0.7893569 1.223931446 2
#> 418 2 1 1 1 1.4256536 1.237363982 2
#> 419 2 1 1 1 0.8604164 1.695302613 3
#> 420 2 1 1 1 0.7806409 1.382067511 2
#> 421 2 1 1 1 1.3663345 1.214667298 2
#> 422 2 1 1 1 2.7144856 0.014231702 1
#> 423 2 1 1 1 0.9997361 2.070908483 3
#> 424 2 1 2 0 1.1872746 0.407099799 1
#> 425 2 1 1 1 0.7574563 1.077108857 2
#> 426 2 1 1 1 1.3347883 0.840050924 2
#> 427 2 1 1 1 1.1160921 0.806076639 2
#> 428 2 1 1 1 0.6346108 1.342560955 2
#> 429 2 1 1 1 1.7196075 1.782982450 3
#> 430 2 1 2 0 0.8903756 0.200843815 1
#> 431 2 1 1 1 0.6841076 0.448070473 1
#> 432 2 1 1 1 1.9334431 0.358090602 1
#> 433 2 1 1 1 1.2861196 1.345974117 2
#> 434 2 1 1 1 1.0016586 0.414451597 1
#> 435 2 1 1 1 1.0454871 1.134682270 2
#> 436 2 1 1 1 1.4235209 1.349413772 2
#> 437 2 1 1 1 0.6676188 1.563452660 3
#> 438 2 1 1 1 1.0022933 1.295435912 2
#> 439 2 1 2 0 1.8118977 0.253672372 1
#> 440 2 1 2 0 1.3575351 0.219670684 1
#> 441 2 1 1 1 2.6160578 0.226085471 1
#> 442 2 1 2 0 1.2196012 0.024053252 1
#> 443 2 1 1 1 1.0599233 1.195616865 2
#> 444 2 1 1 1 0.5424260 1.993991913 3
#> 445 2 1 1 1 1.6977717 1.137492131 2
#> 446 2 1 1 1 1.5189143 0.680653300 1
#> 447 2 1 1 1 1.2898469 0.783649572 1
#> 448 2 1 1 1 2.3741552 0.347410568 1
#> 449 2 1 1 1 1.7845982 0.620948988 1
#> 450 2 1 1 1 1.5913982 0.399835758 1
#> 451 2 1 1 1 1.2122068 1.575373500 3
#> 452 2 1 1 1 1.7747574 0.606222163 1
#> 453 2 1 1 1 1.1959470 1.294867785 2
#> 454 2 1 1 1 0.7133333 0.800224195 2
#> 455 2 1 1 1 1.3313275 0.936697791 2
#> 456 2 1 1 1 0.7575211 1.545002146 3
#> 457 2 1 1 1 1.5881399 1.071706176 2
#> 458 2 1 2 0 1.5728005 0.097564757 1
#> 459 2 1 1 1 0.5195938 1.246056815 2
#> 460 2 1 1 1 1.2849835 0.038094166 1
#> 461 2 1 1 1 1.2864605 2.033585834 3
#> 462 2 1 1 1 1.3956397 0.558096588 1
#> 463 2 1 1 1 1.2436595 1.843425704 3
#> 464 2 1 1 1 1.8653550 0.229122251 1
#> 465 2 1 1 1 1.1814198 1.123562663 2
#> 466 2 1 1 1 0.9145463 1.209934889 2
#> 467 2 1 1 1 0.9708401 1.579138489 3
#> 468 2 1 1 1 1.2269302 0.486941141 1
#> 469 2 1 1 1 1.3610337 0.284202243 1
#> 470 2 1 1 1 1.4403692 0.892632028 2
#> 471 2 1 1 1 1.4747977 1.037165113 2
#> 472 2 1 1 1 1.2308096 1.504506471 3
#> 473 2 1 1 1 0.9745912 0.691863474 1
#> 474 2 1 1 1 1.0893208 1.095301675 2
#> 475 2 1 1 1 0.7953347 0.876380444 2
#> 476 2 1 1 1 0.7993675 0.742361719 1
#> 477 2 1 1 1 1.1268855 1.189897094 2
#> 478 2 1 1 1 1.4179311 1.257923538 2
#> 479 2 1 1 1 0.7210164 1.289643348 2
#> 480 2 1 1 1 0.9982165 0.695299425 1
#> 481 2 1 1 1 1.1954087 1.219054219 2
#> 482 2 1 1 1 0.8414098 1.571051468 3
#> 483 2 1 1 1 0.4399812 2.079484572 3
#> 484 2 1 2 0 2.2348072 0.055798533 1
#> 485 2 1 1 1 0.8992826 1.440670376 2
#> 486 2 1 1 1 0.5217391 0.626422848 1
#> 487 2 1 1 1 0.9235547 0.586651105 1
#> 488 2 1 1 1 1.4708507 0.687080429 1
#> 489 2 1 1 1 0.9771431 0.743725350 1
#> 490 2 1 1 1 1.0312094 1.380737074 2
#> 491 2 1 1 1 2.0028153 0.159656053 1
#> 492 2 1 1 1 1.2446533 1.052523095 2
#> 493 2 1 2 0 0.6084342 1.061182002 2
#> 494 2 1 1 1 2.9256164 0.015988470 1
#> 495 2 1 1 1 1.1457222 0.569287386 1
#> 496 2 1 1 1 1.4421312 1.141143658 2
#> 497 2 1 1 1 1.0849711 1.096245296 2
#> 498 2 1 1 1 0.8941541 1.493609216 2
#> 499 2 1 1 1 1.1907675 1.114946996 2
#> 500 2 1 1 1 1.5525468 0.502076879 1
#> 501 2 1 1 1 1.5649719 0.752311123 1
#> 502 2 1 1 1 0.6418847 1.426598496 2
#> 503 2 1 1 1 1.7972591 1.491866921 2
#> 504 2 1 1 1 1.1492002 0.993495963 2
#> 505 2 1 1 1 2.5690018 0.583505165 1
#> 506 2 1 2 0 1.2174251 0.266996869 1
#> 507 2 1 1 1 1.5054584 0.765905947 1
#> 508 2 1 1 1 0.7349412 1.775609745 3
#> 509 2 1 1 1 1.8852768 1.023803397 2
#> 510 2 1 1 1 0.6273468 1.453489651 2
#> 511 2 1 1 1 1.2086672 1.696616593 3
#> 512 2 1 1 1 0.6291359 1.517191580 3
#> 513 2 1 1 1 0.4519581 0.888241374 2
#> 514 2 1 1 1 1.4583801 1.358102346 2
#> 515 2 1 1 1 1.1488388 0.898665400 2
#> 516 2 1 1 1 2.2219461 0.477377646 1
#> 517 2 1 1 1 1.2364706 1.493678487 2
#> 518 2 1 1 1 0.6657735 2.131974256 3
#> 519 2 1 1 1 0.6333283 1.586277477 3
#> 520 2 1 1 1 2.1030568 1.007090146 2
#> 521 2 1 1 1 1.6900424 1.192053704 2
#> 522 2 1 1 1 1.3389993 1.150123035 2
#> 523 2 1 1 1 1.5170912 1.240955495 2
#> 524 2 1 1 1 0.9827630 1.477747849 2
#> 525 2 1 1 1 1.2313038 0.082059101 1
#> 526 2 1 1 1 0.6651777 0.347397911 1
#> 527 2 1 1 1 0.9632079 0.616981793 1
#> 528 2 1 1 1 0.6330839 1.453371134 2
#> 529 2 1 1 1 1.0277861 0.542504990 1
#> 530 2 1 1 1 0.9271281 1.217627557 2
#> 531 2 1 1 1 0.7723664 1.509173955 3
#> 532 2 1 1 1 1.9303300 0.901171055 2
#> 533 2 1 1 1 1.2257535 0.298600127 1
#> 534 2 1 1 1 0.9825810 1.592981761 3
#> 535 2 1 1 1 1.7744387 0.667265592 1
#> 536 2 1 1 1 1.2086566 0.829570118 2
#> 537 2 1 1 1 0.8601863 1.201849873 2
#> 538 2 1 2 0 1.0475340 0.041608850 1
#> 539 2 1 1 1 0.6082914 1.654775342 3
#> 540 2 1 1 1 0.6277481 2.512516133 3
#> 541 2 1 1 1 0.8436019 1.217646327 2
#> 542 2 1 1 1 1.3739030 0.810817729 2
#> 543 2 1 1 1 0.8144248 1.423891834 2
#> 544 2 1 2 0 1.6217677 0.216827232 1
#> 545 2 1 1 1 0.5772399 1.352078331 2
#> 546 2 1 1 1 0.6035120 1.073863057 2
#> 547 2 1 1 1 0.4597588 1.112900157 2
#> 548 2 1 1 1 1.7498012 0.381029471 1
#> 549 2 1 1 1 0.8436369 1.804889737 3
#> 550 2 1 1 1 0.7744486 1.260688279 2
#> 551 2 1 1 1 0.4562609 1.402374268 2
#> 552 2 1 2 0 0.9920106 0.256020770 1
#> 553 2 1 1 1 1.1290071 0.271313439 1
#> 554 2 1 2 0 1.4361384 0.464165305 1
#> 555 2 1 1 1 0.4961912 2.136389523 3
#> 556 2 1 1 1 1.4548662 0.946751680 2
#> 557 2 1 1 1 1.2657626 0.926538681 2
#> 558 2 1 1 1 0.9735585 0.815158899 2
#> 559 2 1 1 1 0.3376144 2.503867437 3
#> 560 2 1 1 1 0.5609642 1.858392726 3
#> 561 2 1 1 1 0.5037484 1.066423593 2
#> 562 2 1 1 1 0.9370542 1.508115954 3
#> 563 2 1 1 1 1.4754531 1.442734335 2
#> 564 2 1 1 1 1.8650783 0.690290731 1
#> 565 2 1 2 0 1.9505697 0.607083261 1
#> 566 2 1 1 1 1.6675147 1.946467901 3
#> 567 2 1 1 1 1.2629155 0.095333314 1
#> 568 2 1 1 1 0.8791716 0.516931743 1
#> 569 2 1 1 1 1.1578150 1.071649127 2
#> 570 2 1 1 1 1.0349955 0.097538999 1
#> 571 2 1 1 1 1.6382284 0.290048753 1
#> 572 2 1 1 1 1.4746460 0.654548064 1
#> 573 2 1 1 1 1.3585672 0.950336191 2
#> 574 2 1 1 1 2.3947262 1.166568925 2
#> 575 2 1 1 1 1.2295088 0.734428460 1
#> 576 2 1 1 1 0.7543919 0.425402285 1
#> 577 2 1 1 1 1.1615220 1.354994161 2
#> 578 2 1 1 1 1.1290882 1.237136688 2
#> 579 2 1 1 1 0.5768490 1.613085018 3
#> 580 2 1 1 1 1.0299102 0.924007517 2
#> 581 2 1 1 1 1.4581335 1.182465815 2
#> 582 2 1 1 1 0.7098340 1.326350414 2
#> 583 2 1 1 1 0.5141221 1.439874660 2
#> 584 2 1 1 1 1.4635321 0.106231110 1
#> 585 2 1 1 1 2.1944911 0.356851892 1
#> 586 2 1 1 1 0.8440364 1.803477498 3
#> 587 2 1 1 1 1.3200288 0.584200985 1
#> 588 2 1 1 1 2.0260821 0.658524458 1
#> 589 2 1 1 1 1.5938440 0.960171164 2
#> 590 2 1 2 0 1.3849391 0.265594539 1
#> 591 2 1 1 1 3.5725984 0.087118316 1
#> 592 2 1 1 1 0.7201342 1.366132941 2
#> 593 2 1 1 1 2.1278715 0.414831004 1
#> 594 2 1 1 1 1.3573177 0.759811982 1
#> 595 2 1 1 1 1.0517135 2.018686934 3
#> 596 2 1 1 1 0.8962703 1.215389841 2
#> 597 2 1 1 1 1.2692220 0.765938179 1
#> 598 2 1 1 1 0.9036220 1.029824972 2
#> 599 2 1 1 1 1.1852495 0.546545275 1
#> 600 2 1 1 1 0.9701109 1.157399421 2
#> 601 2 1 1 1 1.4122640 0.690880220 1
#> 602 2 1 1 1 0.5224332 0.799705799 1
#> 603 2 1 1 1 0.9134937 0.302150397 1
#> 604 2 1 1 1 0.9018360 1.240983798 2
#> 605 2 1 1 1 1.5765408 1.143425390 2
#> 606 2 1 2 0 1.3290623 0.299596470 1
#> 607 2 1 1 1 2.1949865 0.267739480 1
#> 608 2 1 1 1 1.0123922 0.370647538 1
#> 609 2 1 1 1 1.3459115 0.621119360 1
#> 610 2 1 1 1 1.6334265 1.001062987 2
#> 611 2 1 1 1 1.3623478 1.372888326 2
#> 612 2 1 1 1 0.8292584 1.136854399 2
#> 613 2 1 1 1 0.5290649 2.093702153 3
#> 614 2 1 1 1 1.2421554 0.369359522 1
#> 615 2 1 1 1 0.9480011 1.269566665 2
#> 616 2 1 1 1 0.6729735 1.198529527 2
#> 617 2 1 1 1 0.8966384 1.512023747 3
#> 618 2 1 1 1 2.1828274 0.375944338 1
#> 619 2 1 1 1 0.8219862 1.560056668 3
#> 620 2 1 1 1 0.7928314 0.823918709 2
#> 621 2 1 2 0 1.3360408 0.206244193 1
#> 622 2 1 2 0 1.2292420 0.056265932 1
#> 623 2 1 1 1 0.8355841 1.721160571 3
#> 624 2 1 1 1 0.7240666 2.303309502 3
#> 625 2 1 1 1 2.5186414 0.399533991 1
#> 626 2 1 1 1 1.3527048 0.496933785 1
#> 627 2 1 1 1 1.4581230 0.668563489 1
#> 628 2 1 1 1 0.9335156 1.332856465 2
#> 629 2 1 1 1 0.6920130 1.888851259 3
#> 630 2 1 1 1 0.9160675 1.874249358 3
#> 631 2 1 1 1 0.5397120 0.929502234 2
#> 632 2 1 1 1 0.9381994 1.016296638 2
#> 633 2 1 1 1 1.2620097 0.360450230 1
#> 634 2 1 1 1 1.4727498 0.426633475 1
#> 635 2 1 1 1 1.1754810 0.490332532 1
#> 636 2 1 1 1 2.3543004 1.360809152 2
#> 637 2 1 1 1 1.2921765 0.939875925 2
#> 638 2 1 1 1 0.3809125 1.137616375 2
#> 639 2 1 1 1 0.5799222 0.712768848 1
#> 640 2 1 1 1 1.5139376 0.141476672 1
#> 641 2 1 1 1 1.0265314 0.720537697 1
#> 642 2 1 1 1 1.5542911 0.767008815 1
#> 643 2 1 1 1 1.5440754 0.814742512 2
#> 644 2 1 1 1 1.1809483 0.630375092 1
#> 645 2 1 1 1 0.8721972 1.101375363 2
#> 646 2 1 1 1 0.6038065 0.644051077 1
#> 647 2 1 2 0 1.1301341 0.339582744 1
#> 648 2 1 1 1 0.6607302 1.057376867 2
#> 649 2 1 1 1 0.7315370 1.953642543 3
#> 650 2 1 1 1 1.9599445 0.801819621 2
#> 651 2 1 1 1 1.3647562 0.508291595 1
#> 652 2 1 2 0 1.2578953 0.041215904 1
#> 653 2 1 1 1 1.7185240 0.868706910 2
#> 654 2 1 1 1 0.9212398 0.794179995 1
#> 655 2 1 1 1 1.8721692 1.159477432 2
#> 656 2 1 1 1 0.7873260 1.323151024 2
#> 657 2 1 1 1 2.2251831 0.531203853 1
#> 658 2 1 1 1 1.3415603 0.729658983 1
#> 659 2 1 1 1 1.1316685 0.778960389 1
#> 660 2 1 1 1 0.6062467 1.568519568 3
#> 661 2 1 1 1 1.9512318 0.471253322 1
#> 662 2 1 2 0 1.3669143 0.250203663 1
#> 663 2 1 1 1 1.2705595 1.195820830 2
#> 664 2 1 1 1 0.8761956 2.038302259 3
#> 665 2 1 1 1 1.8854158 0.818089509 2
#> 666 2 1 2 0 1.7614444 0.199687085 1
#> 667 2 1 1 1 1.4732137 0.764350874 1
#> 668 2 1 1 1 1.2562552 1.367287580 2
#> 669 2 1 1 1 1.0184644 1.660432124 3
#> 670 2 1 1 1 2.2119402 0.755571189 1
#> 671 2 1 1 1 1.0294624 1.125669682 2
#> 672 2 1 1 1 0.6086538 1.711119583 3
#> 673 2 1 1 1 0.5090417 1.036135258 2
#> 674 2 1 1 1 0.9551305 1.569859133 3
#> 675 2 1 1 1 1.4678091 0.444584614 1
#> 676 2 1 1 1 1.8043706 0.877192184 2
#> 677 2 1 1 1 0.7488333 1.399783821 2
#> 678 2 1 2 0 1.3100379 0.154849834 1
#> 679 2 1 1 1 1.6281074 0.777346198 1
#> 680 2 1 1 1 0.9192007 0.693780768 1
#> 681 2 1 1 1 1.1552954 0.601754797 1
#> 682 2 1 1 1 0.6984072 2.028719955 3
#> 683 2 1 1 1 0.8996057 1.598524834 3
#> 684 2 1 1 1 1.3088845 0.577850175 1
#> 685 2 1 1 1 2.2892787 0.046152452 1
#> 686 2 1 1 1 0.7072608 1.738427451 3
#> 687 2 1 1 1 1.2419467 0.907351487 2
#> 688 2 1 1 1 0.8624312 1.236860851 2
#> 689 2 1 1 1 1.1653968 0.640331220 1
#> 690 2 1 2 0 1.4666989 0.166980115 1
#> 691 2 1 1 1 0.4497990 1.726389986 3
#> 692 2 1 1 1 1.2955954 1.666150012 3
#> 693 2 1 1 1 1.6993144 0.521332734 1
#> 694 2 1 1 1 0.9935491 1.191546779 2
#> 695 2 1 1 1 1.0296307 0.326551914 1
#> 696 2 1 1 1 1.1810672 0.715089871 1
#> 697 2 1 1 1 1.2456586 0.925067929 2
#> 698 2 1 1 1 1.5835294 1.119705815 2
#> 699 2 1 1 1 0.7714032 1.733526129 3
#> 700 2 1 1 1 0.8958391 0.995129706 2
#> 701 2 1 1 1 0.9248001 1.813013972 3
#> 702 2 1 1 1 1.6680121 0.790427315 1
#> 703 2 1 1 1 0.6519062 1.372288351 2
#> 704 2 1 2 0 1.7794008 0.356829291 1
#> 705 2 1 2 0 1.0060923 0.018300565 1
#> 706 2 1 1 1 1.2565696 0.599664055 1
#> 707 2 1 1 1 0.9119060 1.232980985 2
#> 708 2 1 1 1 1.0667964 0.681792716 1
#> 709 2 1 1 1 0.8585476 2.128527908 3
#> 710 2 1 1 1 0.9856172 1.702154579 3
#> 711 2 1 1 1 0.8414069 1.017720504 2
#> 712 2 1 1 1 1.2078313 0.453828472 1
#> 713 2 1 1 1 0.7061029 1.148246062 2
#> 714 2 1 1 1 1.3147638 1.274742648 2
#> 715 2 1 1 1 0.4298334 1.842614559 3
#> 716 2 1 1 1 0.7332064 1.973701805 3
#> 717 2 1 1 1 1.5930901 0.093964318 1
#> 718 2 1 1 1 0.7664020 0.981186325 2
#> 719 2 1 1 1 1.4398755 0.322266712 1
#> 720 2 1 1 1 1.3373100 0.323481717 1
#> 721 2 1 1 1 2.0510410 0.361126057 1
#> 722 2 1 1 1 1.0695532 1.180236978 2
#> 723 2 1 1 1 2.4205939 0.825376478 2
#> 724 2 1 1 1 0.6102492 1.206405904 2
#> 725 2 1 1 1 2.2319964 0.630801826 1
#> 726 2 1 1 1 1.3449480 0.256700815 1
#> 727 2 1 1 1 1.0514554 1.260383271 2
#> 728 2 1 1 1 0.5487855 1.931073726 3
#> 729 2 1 1 1 0.6749788 1.497784398 2
#> 730 2 1 1 1 0.8872094 1.281819647 2
#> 731 2 1 1 1 0.9362280 0.765883280 1
#> 732 2 1 1 1 0.7680133 1.035926166 2
#> 733 2 1 1 1 1.1101055 1.362205654 2
#> 734 2 1 1 1 1.0336574 0.813401909 2
#> 735 2 1 1 1 1.4992787 0.919802831 2
#> 736 2 1 1 1 2.0050321 0.729946749 1
#> 737 2 1 1 1 1.2265565 1.800698539 3
#> 738 2 1 1 1 0.9301677 1.885429227 3
#> 739 2 1 1 1 1.6376888 0.852549456 2
#> 740 2 1 1 1 0.6275463 1.114328986 2
#> 741 2 1 2 0 1.2959251 0.406399151 1
#> 742 2 1 1 1 1.3437797 1.275971481 2
#> 743 2 1 1 1 0.6621392 1.550733167 3
#> 744 2 1 1 1 1.3835222 0.596021113 1
#> 745 2 1 1 1 0.7840771 1.168602338 2
#> 746 2 1 1 1 0.6935456 2.077633468 3
#> 747 2 1 1 1 1.2012339 1.171340605 2
#> 748 2 1 1 1 1.1072424 1.022438229 2
#> 749 2 1 1 1 1.8430900 0.826169882 2
#> 750 2 1 1 1 1.3118871 0.966879347 2
#> 751 2 1 1 1 2.1026564 0.983135925 2
#> 752 2 1 1 1 0.6885916 1.741363515 3
#> 753 2 1 1 1 1.6672508 1.826666280 3
#> 754 2 1 1 1 2.1280713 0.301451746 1
#> 755 2 1 1 1 0.4376581 1.901017273 3
#> 756 2 1 1 1 1.2070944 1.504657530 3
#> 757 2 1 1 1 0.5811686 2.026296542 3
#> 758 2 1 1 1 1.3294190 0.671858477 1
#> 759 2 1 1 1 0.5025494 2.228233018 3
#> 760 2 1 1 1 1.5119433 1.168247119 2
#> 761 2 1 1 1 0.5618452 2.093817879 3
#> 762 2 1 1 1 0.9004612 1.082582065 2
#> 763 2 1 1 1 1.0673542 0.148725719 1
#> 764 2 1 1 1 1.7209609 0.266507193 1
#> 765 2 1 1 1 2.0500241 0.031555528 1
#> 766 2 1 1 1 0.6652891 1.312078877 2
#> 767 2 1 1 1 0.8957576 1.744845641 3
#> 768 2 1 1 1 1.9928687 1.156024806 2
#> 769 2 1 1 1 1.1186867 1.820988914 3
#> 770 2 1 1 1 1.3521513 0.763469024 1
#> 771 2 1 1 1 0.9448034 1.446199623 2
#> 772 2 1 1 1 0.5725440 2.168164149 3
#> 773 2 1 1 1 1.5966158 0.319081164 1
#> 774 2 1 1 1 1.4679520 1.330210136 2
#> 775 2 1 1 1 1.1239615 1.816951214 3
#> 776 2 1 1 1 0.5692628 1.437848102 2
#> 777 2 1 1 1 0.6626768 1.613143217 3
#> 778 2 1 1 1 1.0802845 1.226694198 2
#> 779 2 1 1 1 0.9284701 1.305664792 2
#> 780 2 1 1 1 1.0690480 1.331741858 2
#> 781 2 1 1 1 0.6015613 1.019610921 2
#> 782 2 1 1 1 0.7370625 0.872154049 2
#> 783 2 1 1 1 1.4330607 0.989886350 2
#> 784 2 1 1 1 1.9516588 0.199873589 1
#> 785 2 1 1 1 1.5385403 0.759885352 1
#> 786 2 1 1 1 1.5724546 1.334472307 2
#> 787 2 1 1 1 1.0997292 0.913627324 2
#> 788 2 1 1 1 0.5135034 2.508528111 3
#> 789 2 1 1 1 0.8454722 1.482498707 2
#> 790 2 1 1 1 0.9104230 1.034488829 2
#> 791 2 1 1 1 0.9437520 0.762663996 1
#> 792 2 1 1 1 1.0766563 1.676625239 3
#> 793 2 1 1 1 1.1574613 0.567025589 1
#> 794 2 1 1 1 0.7921636 1.113783694 2
#> 795 2 1 1 1 0.9917126 1.017953045 2
#> 796 2 1 1 1 0.7607636 2.595722363 3
#> 797 2 1 1 1 0.7020410 2.031749739 3
#> 798 2 1 1 1 0.6874538 0.547395832 1
#> 799 2 1 1 1 1.7709348 1.231084956 2
#> 800 2 1 1 1 3.8531660 0.330988026 1
#> 801 1 2 2 1 1.3617934 1.443854173 2
#> 802 1 2 2 1 0.9826086 1.369681577 2
#> 803 1 2 2 1 1.8601594 1.016472434 2
#> 804 1 2 2 1 2.4175103 0.168223227 1
#> 805 1 2 1 0 1.6297762 0.138279806 1
#> 806 1 2 1 0 2.8744625 0.828625250 2
#> 807 1 2 2 1 2.3872358 0.475729699 1
#> 808 1 2 2 1 0.9440550 1.138250610 2
#> 809 1 2 2 1 1.4567649 0.502183600 1
#> 810 1 2 2 1 2.6422643 0.505382405 1
#> 811 1 2 2 1 1.3434499 0.465249866 1
#> 812 1 2 2 1 1.0563902 1.184832046 2
#> 813 1 2 1 0 1.6382121 0.444397815 1
#> 814 1 2 2 1 1.1139860 1.176512677 2
#> 815 1 2 2 1 2.1097764 0.064714431 1
#> 816 1 2 2 1 0.8749739 2.069144996 3
#> 817 1 2 2 1 1.1131637 1.173757152 2
#> 818 1 2 2 1 1.0974681 0.873357868 2
#> 819 1 2 2 1 2.4152868 0.516213391 1
#> 820 1 2 2 1 2.9160629 0.017445376 1
#> 821 1 2 2 1 1.2087976 1.096314336 2
#> 822 1 2 2 1 4.2850821 0.147942761 1
#> 823 1 2 2 1 1.1937074 0.073132861 1
#> 824 1 2 2 1 1.4914051 0.040814403 1
#> 825 1 2 2 1 1.0834040 0.953424225 2
#> 826 1 2 2 1 2.0443102 0.792163101 1
#> 827 1 2 2 1 1.0890216 1.820693527 3
#> 828 1 2 1 0 0.7000621 1.903315289 3
#> 829 1 2 2 1 1.8863271 0.914996554 2
#> 830 1 2 2 1 0.7846051 0.869375452 2
#> 831 1 2 1 0 1.9377985 0.134267212 1
#> 832 1 2 2 1 1.3873582 0.238330326 1
#> 833 1 2 2 1 1.4566015 1.504596624 3
#> 834 1 2 2 1 1.2875580 0.810051879 2
#> 835 1 2 1 0 2.2836395 0.133931843 1
#> 836 1 2 1 0 2.8088434 0.476920778 1
#> 837 1 2 2 1 1.5510847 0.770018705 1
#> 838 1 2 2 1 1.8106620 0.531969004 1
#> 839 1 2 2 1 1.2160907 1.075150698 2
#> 840 1 2 2 1 1.0067636 0.359468359 1
#> 841 1 2 2 1 2.2914015 0.392817924 1
#> 842 1 2 1 0 2.0967881 0.524774492 1
#> 843 1 2 1 0 1.4653792 0.830134413 2
#> 844 1 2 1 0 1.7474402 0.299634446 1
#> 845 1 2 2 1 1.2196991 1.928041827 3
#> 846 1 2 1 0 1.4054812 0.442827967 1
#> 847 1 2 2 1 1.0299381 0.951053527 2
#> 848 1 2 2 1 1.7526955 0.457125232 1
#> 849 1 2 2 1 1.8623021 1.536508300 3
#> 850 1 2 2 1 2.5049363 0.480729614 1
#> 851 1 2 2 1 1.0275534 1.711149426 3
#> 852 1 2 2 1 1.6171757 0.813585936 2
#> 853 1 2 2 1 2.0007387 0.140094797 1
#> 854 1 2 2 1 1.9120429 0.741942869 1
#> 855 1 2 2 1 1.7989001 1.221816311 2
#> 856 1 2 2 1 2.5236420 0.275805924 1
#> 857 1 2 2 1 0.9421173 1.840883355 3
#> 858 1 2 2 1 0.9458069 1.313211995 2
#> 859 1 2 1 0 2.9990638 0.028177400 1
#> 860 1 2 2 1 1.3042072 0.483684321 1
#> 861 1 2 1 0 2.2932454 0.286197718 1
#> 862 1 2 2 1 1.6159088 0.872492346 2
#> 863 1 2 2 1 1.0632443 0.538230097 1
#> 864 1 2 2 1 1.2723822 1.647104439 3
#> 865 1 2 2 1 1.4234317 0.188996856 1
#> 866 1 2 2 1 1.8530194 0.112491706 1
#> 867 1 2 2 1 1.1533942 0.735304867 1
#> 868 1 2 1 0 2.5346286 0.663471574 1
#> 869 1 2 2 1 1.2169972 1.186036978 2
#> 870 1 2 2 1 1.8193363 0.805162567 2
#> 871 1 2 1 0 1.8869800 0.527548570 1
#> 872 1 2 2 1 1.1912288 0.658457357 1
#> 873 1 2 2 1 1.1187676 0.929844481 2
#> 874 1 2 2 1 1.5662007 0.326837547 1
#> 875 1 2 2 1 1.5880685 1.296486091 2
#> 876 1 2 2 1 1.3363784 0.796637360 1
#> 877 1 2 2 1 1.5921374 0.305155035 1
#> 878 1 2 1 0 1.4129014 0.526888855 1
#> 879 1 2 2 1 1.9072415 1.215982980 2
#> 880 1 2 2 1 0.6031775 1.654621462 3
#> 881 1 2 2 1 1.2622741 0.817693892 2
#> 882 1 2 1 0 4.2758632 0.003887553 1
#> 883 1 2 2 1 1.9291947 0.152013975 1
#> 884 1 2 2 1 1.0404485 0.883619078 2
#> 885 1 2 2 1 2.1458941 0.706617148 1
#> 886 1 2 2 1 1.3958739 0.435764842 1
#> 887 1 2 2 1 1.3978363 1.207976438 2
#> 888 1 2 2 1 1.0774561 1.691119909 3
#> 889 1 2 2 1 2.5959660 0.017033524 1
#> 890 1 2 2 1 1.8033410 0.875489950 2
#> 891 1 2 2 1 1.2927770 1.512284922 3
#> 892 1 2 2 1 2.8552259 0.585463201 1
#> 893 1 2 2 1 0.7481348 1.474992101 2
#> 894 1 2 2 1 1.1267415 1.235096520 2
#> 895 1 2 1 0 2.1952438 0.384118604 1
#> 896 1 2 2 1 1.6723299 1.179290607 2
#> 897 1 2 1 0 1.8941200 0.462182740 1
#> 898 1 2 2 1 2.1202128 0.298958698 1
#> 899 1 2 2 1 1.4678471 1.284036600 2
#> 900 1 2 2 1 1.4732974 1.866328101 3
#> 901 1 2 2 1 3.2253384 0.711244395 1
#> 902 1 2 2 1 1.4177638 1.048493638 2
#> 903 1 2 2 1 0.8210639 1.027653842 2
#> 904 1 2 2 1 1.0413886 0.887365490 2
#> 905 1 2 2 1 1.5513592 1.537963676 3
#> 906 1 2 2 1 1.8702767 1.170277200 2
#> 907 1 2 2 1 1.9860926 0.771582372 1
#> 908 1 2 2 1 2.0901199 0.954177425 2
#> 909 1 2 2 1 3.0317848 0.790010813 1
#> 910 1 2 2 1 1.0236693 1.233600430 2
#> 911 1 2 2 1 1.1516171 1.790662244 3
#> 912 1 2 2 1 1.1245397 1.100545419 2
#> 913 1 2 2 1 3.9789688 0.141263645 1
#> 914 1 2 2 1 1.0137157 0.902718203 2
#> 915 1 2 2 1 1.1291728 1.239980658 2
#> 916 1 2 2 1 1.4530804 0.127657252 1
#> 917 1 2 2 1 1.4596802 0.659429342 1
#> 918 1 2 2 1 5.0174710 0.014352535 1
#> 919 1 2 2 1 1.5845593 0.686570195 1
#> 920 1 2 2 1 1.6154778 0.374545600 1
#> 921 1 2 1 0 2.3752820 0.120439693 1
#> 922 1 2 2 1 2.2948507 0.163600217 1
#> 923 1 2 2 1 1.0506772 1.790759245 3
#> 924 1 2 1 0 0.7720643 0.171888838 1
#> 925 1 2 1 0 1.3293328 0.513497096 1
#> 926 1 2 2 1 2.0594895 0.284053789 1
#> 927 1 2 2 1 1.4322148 1.111842629 2
#> 928 1 2 2 1 1.9098885 0.897936641 2
#> 929 1 2 1 0 2.0158247 0.116800186 1
#> 930 1 2 2 1 2.2359827 0.334473943 1
#> 931 1 2 1 0 4.0799093 0.148856240 1
#> 932 1 2 2 1 1.5532178 0.907987865 2
#> 933 1 2 1 0 2.9490754 0.089131525 1
#> 934 1 2 2 1 0.9674047 1.074579779 2
#> 935 1 2 2 1 0.5116148 1.783364170 3
#> 936 1 2 2 1 1.4107625 0.768940424 1
#> 937 1 2 2 1 2.5200061 0.401746282 1
#> 938 1 2 2 1 0.8159415 0.618155098 1
#> 939 1 2 2 1 1.5887598 0.689640182 1
#> 940 1 2 1 0 1.4602599 0.487993952 1
#> 941 1 2 2 1 1.8880020 0.843931776 2
#> 942 1 2 2 1 2.1371547 1.109383110 2
#> 943 1 2 2 1 2.8532294 0.237415812 1
#> 944 1 2 1 0 1.7646734 0.714515592 1
#> 945 1 2 2 1 3.3477257 0.732541013 1
#> 946 1 2 2 1 1.5550476 0.505008391 1
#> 947 1 2 1 0 1.5004485 0.599597619 1
#> 948 1 2 2 1 1.2548678 0.949190728 2
#> 949 1 2 2 1 0.9097880 0.915391677 2
#> 950 1 2 2 1 1.1399532 1.298561923 2
#> 951 1 2 2 1 3.0544973 0.638638602 1
#> 952 1 2 2 1 1.8549932 0.925334790 2
#> 953 1 2 2 1 1.3548853 0.681515705 1
#> 954 1 2 2 1 2.5912461 0.422908112 1
#> 955 1 2 1 0 2.9865544 0.067851828 1
#> 956 1 2 2 1 1.0681074 1.406136973 2
#> 957 1 2 1 0 1.3615965 1.120398299 2
#> 958 1 2 2 1 2.3486098 0.179651274 1
#> 959 1 2 2 1 1.7183510 0.720339770 1
#> 960 1 2 2 1 3.9572382 0.809655860 2
#> 961 1 2 2 1 1.8651773 0.081597792 1
#> 962 1 2 2 1 1.4887887 0.892039550 2
#> 963 1 2 2 1 2.1567508 0.636485631 1
#> 964 1 2 2 1 2.0730925 0.228567867 1
#> 965 1 2 2 1 1.2909584 1.120764724 2
#> 966 1 2 2 1 1.4233616 0.754156049 1
#> 967 1 2 1 0 4.4275910 0.292681646 1
#> 968 1 2 2 1 1.3241197 0.395662054 1
#> 969 1 2 1 0 2.2150233 0.177100872 1
#> 970 1 2 2 1 1.7435059 0.074043681 1
#> 971 1 2 1 0 2.6245008 0.569096857 1
#> 972 1 2 1 0 2.9692240 0.160338912 1
#> 973 1 2 2 1 3.0741539 0.086291558 1
#> 974 1 2 1 0 1.4035183 0.520034192 1
#> 975 1 2 2 1 1.6624272 0.183794829 1
#> 976 1 2 1 0 1.3825858 0.465961048 1
#> 977 1 2 2 1 2.7121147 0.427678004 1
#> 978 1 2 2 1 1.1287278 0.383479227 1
#> 979 1 2 1 0 2.5347219 0.006451082 1
#> 980 1 2 1 0 1.2187947 0.042396927 1
#> 981 1 2 2 1 2.9224750 0.186039715 1
#> 982 1 2 1 0 2.6215538 0.059917238 1
#> 983 1 2 2 1 2.3048735 0.231816282 1
#> 984 1 2 2 1 1.6399180 0.133775921 1
#> 985 1 2 2 1 0.8109629 0.046904234 1
#> 986 1 2 2 1 1.7759154 0.825465960 2
#> 987 1 2 2 1 2.8519593 0.169012929 1
#> 988 1 2 1 0 2.1603471 0.156976008 1
#> 989 1 2 2 1 2.1209138 0.932665236 2
#> 990 1 2 2 1 2.1396696 0.570151406 1
#> 991 1 2 2 1 1.4532664 1.443769438 2
#> 992 1 2 2 1 1.2618198 0.101304372 1
#> 993 1 2 2 1 1.3751396 0.755313325 1
#> 994 1 2 1 0 1.4632926 0.067793345 1
#> 995 1 2 2 1 0.8813316 0.396645215 1
#> 996 1 2 2 1 0.8464135 0.692515131 1
#> 997 1 2 2 1 0.7512831 0.780609091 1
#> 998 1 2 2 1 3.9241749 0.132015457 1
#> 999 1 2 2 1 2.2266659 0.877125978 2
#> 1000 1 2 1 0 1.8422733 0.599096856 1
#> 1001 1 2 2 1 1.8809848 0.189656844 1
#> 1002 1 2 2 1 1.2367058 0.762147709 1
#> 1003 1 2 2 1 1.0199857 0.980589558 2
#> 1004 1 2 2 1 1.1137503 0.498582059 1
#> 1005 1 2 2 1 1.4141627 0.403166751 1
#> 1006 1 2 2 1 1.4862629 1.701713450 3
#> 1007 1 2 2 1 1.8286847 0.764310693 1
#> 1008 1 2 2 1 2.4289127 0.087486161 1
#> 1009 1 2 2 1 0.7377164 1.191830081 2
#> 1010 1 2 2 1 2.0462094 1.595699226 3
#> 1011 1 2 2 1 1.0238867 0.946505987 2
#> 1012 1 2 2 1 2.7019816 0.631174907 1
#> 1013 1 2 2 1 1.8576696 0.488635038 1
#> 1014 1 2 2 1 1.8427025 0.301533863 1
#> 1015 1 2 2 1 2.2136357 0.010853987 1
#> 1016 1 2 1 0 3.0617809 0.158512349 1
#> 1017 1 2 2 1 1.2296341 0.432924808 1
#> 1018 1 2 2 1 1.9212220 0.501535927 1
#> 1019 1 2 2 1 2.0282325 0.935598787 2
#> 1020 1 2 2 1 1.2975049 0.810784362 2
#> 1021 1 2 2 1 1.9814971 0.472438682 1
#> 1022 1 2 1 0 1.7861348 0.655388472 1
#> 1023 1 2 2 1 2.4289797 0.060773835 1
#> 1024 1 2 2 1 1.3781107 1.231013444 2
#> 1025 1 2 2 1 1.2365512 0.112302294 1
#> 1026 1 2 1 0 2.0719450 0.097003807 1
#> 1027 1 2 1 0 2.5773927 0.558022888 1
#> 1028 1 2 2 1 3.0950580 1.095228680 2
#> 1029 1 2 1 0 1.7625748 0.668793927 1
#> 1030 1 2 2 1 1.8201479 0.518098430 1
#> 1031 1 2 2 1 2.3845856 0.032270931 1
#> 1032 1 2 2 1 1.3635910 1.188992192 2
#> 1033 1 2 2 1 1.7198557 0.196726182 1
#> 1034 1 2 2 1 1.7704987 0.330586646 1
#> 1035 1 2 1 0 2.0289885 0.052451756 1
#> 1036 1 2 1 0 1.4111688 0.012687950 1
#> 1037 1 2 2 1 1.1724728 0.853925815 2
#> 1038 1 2 2 1 1.8428239 0.622962914 1
#> 1039 1 2 2 1 1.5269006 0.308791568 1
#> 1040 1 2 1 0 4.5825324 0.038141137 1
#> 1041 1 2 2 1 2.4182962 0.764238559 1
#> 1042 1 2 2 1 1.5813903 0.472826126 1
#> 1043 1 2 1 0 1.6285846 0.440050115 1
#> 1044 1 2 2 1 2.5002740 0.270716782 1
#> 1045 1 2 2 1 1.7616403 0.956018486 2
#> 1046 1 2 2 1 1.8724490 0.697716160 1
#> 1047 1 2 2 1 1.3503729 0.459489379 1
#> 1048 1 2 1 0 1.4086973 0.024750856 1
#> 1049 1 2 2 1 1.8094501 0.669054334 1
#> 1050 1 2 2 1 1.0416961 0.575318516 1
#> 1051 1 2 2 1 1.4839728 0.291025406 1
#> 1052 1 2 2 1 1.2952738 0.470559157 1
#> 1053 1 2 1 0 1.1581288 0.747130695 1
#> 1054 1 2 1 0 1.0425239 0.594084132 1
#> 1055 1 2 2 1 1.5372380 0.400811556 1
#> 1056 1 2 2 1 1.2991171 0.646087728 1
#> 1057 1 2 2 1 1.2969922 0.720278350 1
#> 1058 1 2 2 1 2.4521240 0.714422889 1
#> 1059 1 2 1 0 0.9982729 0.613459659 1
#> 1060 1 2 2 1 2.7001757 0.662614627 1
#> 1061 1 2 1 0 3.2982258 0.352668712 1
#> 1062 1 2 2 1 1.3548350 0.316886975 1
#> 1063 1 2 2 1 1.1016306 0.448320912 1
#> 1064 1 2 2 1 1.3355214 0.007241805 1
#> 1065 1 2 2 1 1.2171867 0.963320287 2
#> 1066 1 2 2 1 1.5692621 0.463411564 1
#> 1067 1 2 2 1 2.5541814 0.381012277 1
#> 1068 1 2 2 1 0.5406159 1.797353942 3
#> 1069 1 2 2 1 2.6111373 0.039652833 1
#> 1070 1 2 2 1 2.1442176 0.560146009 1
#> 1071 1 2 2 1 1.0644321 0.330486117 1
#> 1072 1 2 2 1 2.0153431 0.029573969 1
#> 1073 1 2 2 1 1.8801049 0.257581088 1
#> 1074 1 2 2 1 2.5298907 1.017329348 2
#> 1075 1 2 2 1 1.5412720 0.458248038 1
#> 1076 1 2 1 0 2.7346732 0.036210709 1
#> 1077 1 2 1 0 1.3181352 0.921183949 2
#> 1078 1 2 1 0 2.4365884 0.028925745 1
#> 1079 1 2 2 1 0.8309645 1.029996736 2
#> 1080 1 2 2 1 0.8891714 0.897338134 2
#> 1081 1 2 2 1 1.8835315 1.095088917 2
#> 1082 1 2 2 1 2.3089406 0.428129884 1
#> 1083 1 2 1 0 2.6040206 0.105481246 1
#> 1084 1 2 2 1 0.9647531 1.392833303 2
#> 1085 1 2 2 1 1.5084805 0.448236165 1
#> 1086 1 2 2 1 1.5959816 0.500985397 1
#> 1087 1 2 2 1 1.1579304 0.252788590 1
#> 1088 1 2 2 1 1.6325368 1.306529095 2
#> 1089 1 2 2 1 0.8286844 1.546658130 3
#> 1090 1 2 2 1 1.4241499 0.388434930 1
#> 1091 1 2 1 0 1.3412110 0.297292459 1
#> 1092 1 2 2 1 2.7026744 0.186739056 1
#> 1093 1 2 2 1 4.0080252 0.314898947 1
#> 1094 1 2 2 1 1.8339231 0.436158842 1
#> 1095 1 2 2 1 2.1123023 0.442939515 1
#> 1096 1 2 2 1 1.4191329 1.246171693 2
#> 1097 1 2 2 1 1.3283761 0.626133555 1
#> 1098 1 2 2 1 1.4612038 0.347453292 1
#> 1099 1 2 2 1 1.8119779 0.373543471 1
#> 1100 1 2 2 1 1.8654540 0.427321898 1
#> 1101 1 2 2 1 1.6358171 0.505524678 1
#> 1102 1 2 2 1 2.6677750 0.551906953 1
#> 1103 1 2 2 1 0.9297563 1.509602876 3
#> 1104 1 2 2 1 1.3858681 1.948842345 3
#> 1105 1 2 1 0 1.8785228 1.423256634 2
#> 1106 1 2 2 1 3.1058910 0.143738848 1
#> 1107 1 2 2 1 2.4527586 0.330772847 1
#> 1108 1 2 2 1 1.5734625 0.225860448 1
#> 1109 1 2 1 0 2.1080477 0.819726954 2
#> 1110 1 2 2 1 1.5985411 0.315500055 1
#> 1111 1 2 2 1 2.2189668 0.827149680 2
#> 1112 1 2 2 1 2.7407293 0.333350354 1
#> 1113 1 2 1 0 1.4319858 0.899050094 2
#> 1114 1 2 1 0 2.8841316 0.156783218 1
#> 1115 1 2 2 1 1.4384653 0.425218286 1
#> 1116 1 2 1 0 2.6909684 0.329950394 1
#> 1117 1 2 1 0 1.8119533 0.138750009 1
#> 1118 1 2 2 1 2.6871648 0.630691581 1
#> 1119 1 2 2 1 1.2145637 0.528786891 1
#> 1120 1 2 2 1 1.3224394 0.923189948 2
#> 1121 1 2 1 0 2.3885394 0.017788988 1
#> 1122 1 2 2 1 0.8353060 1.375204499 2
#> 1123 1 2 2 1 0.9296493 1.356891485 2
#> 1124 1 2 2 1 0.5561882 1.930552617 3
#> 1125 1 2 2 1 1.2023412 1.771434174 3
#> 1126 1 2 2 1 2.5672220 0.539654044 1
#> 1127 1 2 2 1 2.8922876 0.281241479 1
#> 1128 1 2 2 1 2.1370197 1.356730844 2
#> 1129 1 2 2 1 1.3330572 0.420543267 1
#> 1130 1 2 2 1 2.9347352 0.686330924 1
#> 1131 1 2 2 1 1.4907557 1.049930913 2
#> 1132 1 2 2 1 0.9088457 1.562244453 3
#> 1133 1 2 2 1 2.3896498 0.447643784 1
#> 1134 1 2 2 1 1.7366444 0.218186981 1
#> 1135 1 2 2 1 2.3685750 1.018811218 2
#> 1136 1 2 2 1 1.4869737 0.645786848 1
#> 1137 1 2 1 0 3.7978030 0.294603497 1
#> 1138 1 2 2 1 0.8447419 1.002696260 2
#> 1139 1 2 2 1 0.6451378 0.738133208 1
#> 1140 1 2 2 1 1.6543537 0.511290271 1
#> 1141 1 2 2 1 2.4224013 0.101802625 1
#> 1142 1 2 2 1 1.7324251 1.227316936 2
#> 1143 1 2 1 0 2.2287205 0.764081667 1
#> 1144 1 2 2 1 1.2650460 0.751612371 1
#> 1145 1 2 1 0 1.3551608 0.016396206 1
#> 1146 1 2 1 0 2.2657302 0.566774174 1
#> 1147 1 2 2 1 0.7471602 2.728368705 3
#> 1148 1 2 1 0 2.6401664 0.294062367 1
#> 1149 1 2 2 1 2.2560371 0.550035065 1
#> 1150 1 2 2 1 1.2214224 1.138626555 2
#> 1151 1 2 2 1 3.0953770 0.205317464 1
#> 1152 1 2 2 1 3.3913593 0.011966994 1
#> 1153 1 2 2 1 3.2285218 0.068603615 1
#> 1154 1 2 2 1 2.6216335 0.356226978 1
#> 1155 1 2 2 1 2.2419419 0.760996055 1
#> 1156 1 2 2 1 1.4826273 0.802150100 2
#> 1157 1 2 2 1 1.3273847 0.253479549 1
#> 1158 1 2 2 1 2.6043024 0.547618658 1
#> 1159 1 2 2 1 1.5246738 0.620704999 1
#> 1160 1 2 2 1 1.7491099 0.555571899 1
#> 1161 1 2 2 1 1.6607457 1.426812406 2
#> 1162 1 2 1 0 1.9801440 0.195524197 1
#> 1163 1 2 2 1 1.3167194 0.972420181 2
#> 1164 1 2 1 0 3.6433527 0.526948852 1
#> 1165 1 2 2 1 2.5439075 0.636210343 1
#> 1166 1 2 2 1 1.1096885 0.710183651 1
#> 1167 1 2 2 1 1.1609233 0.843435960 2
#> 1168 1 2 2 1 0.9480165 1.191068616 2
#> 1169 1 2 2 1 2.8761892 0.129236020 1
#> 1170 1 2 2 1 2.7051303 0.229006859 1
#> 1171 1 2 2 1 1.8679144 1.494759809 2
#> 1172 1 2 2 1 3.1388617 0.354838873 1
#> 1173 1 2 1 0 2.6775409 0.032055250 1
#> 1174 1 2 2 1 1.7435472 0.122622662 1
#> 1175 1 2 2 1 1.0842611 1.015806322 2
#> 1176 1 2 1 0 1.5982384 0.053508014 1
#> 1177 1 2 2 1 1.7856768 0.503897821 1
#> 1178 1 2 2 1 0.9823084 1.797358368 3
#> 1179 1 2 2 1 1.8669807 0.545909619 1
#> 1180 1 2 2 1 0.6110913 1.870400386 3
#> 1181 1 2 2 1 2.1255229 0.293103104 1
#> 1182 1 2 1 0 1.8094238 0.698479878 1
#> 1183 1 2 2 1 2.7312542 0.584341117 1
#> 1184 1 2 1 0 3.6884829 0.242793343 1
#> 1185 1 2 2 1 2.7648401 0.271133939 1
#> 1186 1 2 2 1 1.2529434 1.090712095 2
#> 1187 1 2 2 1 3.0229671 0.475476302 1
#> 1188 1 2 2 1 1.2617128 1.079147287 2
#> 1189 1 2 2 1 4.0525578 1.015145920 2
#> 1190 1 2 1 0 1.8063702 0.251516029 1
#> 1191 1 2 2 1 1.5664250 1.052532120 2
#> 1192 1 2 1 0 1.6922388 0.867230246 2
#> 1193 1 2 2 1 1.6694609 0.159670211 1
#> 1194 1 2 2 1 1.6723952 0.175073327 1
#> 1195 1 2 1 0 1.9400322 0.405353153 1
#> 1196 1 2 2 1 1.9508670 0.572151829 1
#> 1197 1 2 1 0 2.0512337 0.526378190 1
#> 1198 1 2 2 1 1.4167513 1.520682596 3
#> 1199 1 2 1 0 0.9511680 0.958087072 2
#> 1200 1 2 2 1 1.7006503 0.869382915 2
#> 1201 2 2 2 1 1.2196935 1.338683686 2
#> 1202 2 2 2 1 0.8523080 0.879442256 2
#> 1203 2 2 2 1 1.0701293 1.469952683 2
#> 1204 2 2 2 1 0.7622245 0.826597586 2
#> 1205 2 2 2 1 0.9421136 0.498056871 1
#> 1206 2 2 2 1 1.2108016 1.270270710 2
#> 1207 2 2 1 0 1.1731200 0.025910953 1
#> 1208 2 2 2 1 1.0161959 1.626456625 3
#> 1209 2 2 2 1 1.4962161 0.626130040 1
#> 1210 2 2 2 1 1.0040731 0.153279302 1
#> 1211 2 2 2 1 1.4005447 0.670435026 1
#> 1212 2 2 2 1 2.5517708 0.992644231 2
#> 1213 2 2 2 1 0.5940098 1.143649029 2
#> 1214 2 2 2 1 2.1815841 0.214538476 1
#> 1215 2 2 2 1 2.4286918 1.038278296 2
#> 1216 2 2 2 1 1.0556037 0.966776309 2
#> 1217 2 2 2 1 1.1000529 0.718169451 1
#> 1218 2 2 2 1 1.5384569 1.031176333 2
#> 1219 2 2 2 1 1.9917396 0.320519303 1
#> 1220 2 2 2 1 1.2427055 1.722957007 3
#> 1221 2 2 2 1 1.2664515 0.832332979 2
#> 1222 2 2 1 0 2.2362742 0.202069027 1
#> 1223 2 2 1 0 1.7577979 0.087584128 1
#> 1224 2 2 1 0 1.4783990 0.807400118 2
#> 1225 2 2 2 1 0.5408676 2.471769203 3
#> 1226 2 2 2 1 1.1615123 0.982823281 2
#> 1227 2 2 2 1 1.9932622 0.478055580 1
#> 1228 2 2 2 1 0.9836651 1.469624687 2
#> 1229 2 2 2 1 0.8675247 1.603028559 3
#> 1230 2 2 2 1 1.1078908 0.480725054 1
#> 1231 2 2 2 1 2.3253849 0.678665941 1
#> 1232 2 2 2 1 0.6965688 1.887356861 3
#> 1233 2 2 2 1 1.0133326 0.901857075 2
#> 1234 2 2 2 1 1.6189092 0.401690213 1
#> 1235 2 2 2 1 1.2881920 0.671306147 1
#> 1236 2 2 2 1 0.9645131 1.644875164 3
#> 1237 2 2 2 1 1.6248356 0.937139210 2
#> 1238 2 2 2 1 0.5610578 2.395591306 3
#> 1239 2 2 2 1 1.1200436 1.809848535 3
#> 1240 2 2 2 1 1.2812482 1.290487454 2
#> 1241 2 2 2 1 0.7756176 0.462214963 1
#> 1242 2 2 2 1 1.6222145 0.546749206 1
#> 1243 2 2 2 1 1.0528946 1.400095173 2
#> 1244 2 2 1 0 0.9437973 0.010570529 1
#> 1245 2 2 2 1 0.6538213 1.023057175 2
#> 1246 2 2 2 1 1.8261668 0.369987749 1
#> 1247 2 2 2 1 0.9388468 0.825915440 2
#> 1248 2 2 2 1 1.1675467 1.203419995 2
#> 1249 2 2 2 1 1.6005475 0.487600368 1
#> 1250 2 2 2 1 0.9574597 1.543711716 3
#> 1251 2 2 2 1 0.8220848 1.364656127 2
#> 1252 2 2 2 1 1.2508820 0.580628758 1
#> 1253 2 2 2 1 1.0643840 0.335619863 1
#> 1254 2 2 2 1 1.3250419 0.908666797 2
#> 1255 2 2 2 1 0.8787646 1.716833632 3
#> 1256 2 2 2 1 0.4977918 2.404791596 3
#> 1257 2 2 2 1 0.9767128 1.742253129 3
#> 1258 2 2 2 1 0.5328766 1.750634896 3
#> 1259 2 2 2 1 0.7463837 1.623117450 3
#> 1260 2 2 2 1 1.7821835 0.601177130 1
#> 1261 2 2 2 1 0.9742995 1.181306048 2
#> 1262 2 2 2 1 0.7993609 1.095277577 2
#> 1263 2 2 2 1 1.2875004 0.207490645 1
#> 1264 2 2 2 1 0.5488591 0.700735118 1
#> 1265 2 2 2 1 1.2064811 0.803490453 2
#> 1266 2 2 2 1 1.1829707 1.453783538 2
#> 1267 2 2 2 1 1.2711342 0.611959111 1
#> 1268 2 2 2 1 1.1230068 0.852465480 2
#> 1269 2 2 2 1 0.8172658 1.503359325 3
#> 1270 2 2 2 1 1.3381953 1.158374862 2
#> 1271 2 2 2 1 1.6803774 0.405113944 1
#> 1272 2 2 2 1 1.0809098 1.030164074 2
#> 1273 2 2 2 1 1.4864802 0.188117220 1
#> 1274 2 2 2 1 0.9925129 1.157213604 2
#> 1275 2 2 2 1 1.5546910 1.174715036 2
#> 1276 2 2 2 1 1.2398745 0.611075190 1
#> 1277 2 2 2 1 0.7235027 1.939681420 3
#> 1278 2 2 2 1 0.4538494 1.623276826 3
#> 1279 2 2 2 1 0.6013951 1.227730561 2
#> 1280 2 2 2 1 1.0879698 1.000460173 2
#> 1281 2 2 2 1 0.4829942 1.284424682 2
#> 1282 2 2 2 1 1.5238260 0.253563609 1
#> 1283 2 2 2 1 0.9306428 0.602171283 1
#> 1284 2 2 2 1 1.2700437 0.126599594 1
#> 1285 2 2 2 1 0.9165065 1.118124839 2
#> 1286 2 2 2 1 1.0914802 0.594401239 1
#> 1287 2 2 2 1 1.5295551 0.810327584 2
#> 1288 2 2 2 1 0.6885381 0.527132870 1
#> 1289 2 2 2 1 0.8567777 0.216600795 1
#> 1290 2 2 2 1 0.4804113 1.814870235 3
#> 1291 2 2 2 1 0.9711656 1.782880157 3
#> 1292 2 2 2 1 0.9999596 0.339105124 1
#> 1293 2 2 2 1 0.8083257 0.523611679 1
#> 1294 2 2 2 1 1.0245672 0.070971790 1
#> 1295 2 2 2 1 1.7505465 0.781011290 1
#> 1296 2 2 2 1 1.5080103 0.911606456 2
#> 1297 2 2 2 1 0.6714372 1.484583317 2
#> 1298 2 2 2 1 2.2504810 0.532631941 1
#> 1299 2 2 2 1 1.0081234 1.624140609 3
#> 1300 2 2 2 1 1.3857765 1.353366731 2
#> 1301 2 2 2 1 0.9393990 0.338559945 1
#> 1302 2 2 2 1 1.4497375 1.453848525 2
#> 1303 2 2 2 1 1.3796108 0.645663643 1
#> 1304 2 2 2 1 1.0082912 1.471328319 2
#> 1305 2 2 2 1 1.1149240 1.768180238 3
#> 1306 2 2 2 1 1.1884128 0.766057551 1
#> 1307 2 2 2 1 1.2247925 1.058453415 2
#> 1308 2 2 2 1 1.2017361 0.503493075 1
#> 1309 2 2 2 1 1.0224401 0.878723217 2
#> 1310 2 2 2 1 1.2405467 1.125599526 2
#> 1311 2 2 2 1 1.3027568 0.098912236 1
#> 1312 2 2 2 1 2.0043003 0.386071922 1
#> 1313 2 2 2 1 1.0762288 1.121114817 2
#> 1314 2 2 2 1 1.1426825 0.507207167 1
#> 1315 2 2 2 1 0.2352781 3.214572873 3
#> 1316 2 2 2 1 0.5441116 1.960873428 3
#> 1317 2 2 2 1 2.1698361 0.803915233 2
#> 1318 2 2 2 1 1.4690433 0.379892502 1
#> 1319 2 2 2 1 1.0879178 0.922645324 2
#> 1320 2 2 2 1 0.5774769 0.566391593 1
#> 1321 2 2 2 1 0.7398164 1.371933414 2
#> 1322 2 2 2 1 0.5531058 1.993476321 3
#> 1323 2 2 1 0 2.2410325 0.165209086 1
#> 1324 2 2 2 1 0.5892663 1.522236843 3
#> 1325 2 2 2 1 1.6985265 0.873031611 2
#> 1326 2 2 2 1 1.0031607 1.116930078 2
#> 1327 2 2 2 1 2.0574767 0.111846229 1
#> 1328 2 2 2 1 0.6145722 2.341886772 3
#> 1329 2 2 2 1 2.8434784 0.036011413 1
#> 1330 2 2 2 1 0.7580680 1.644757684 3
#> 1331 2 2 2 1 1.5556045 1.879174313 3
#> 1332 2 2 1 0 0.7395333 0.603059960 1
#> 1333 2 2 1 0 2.3210290 0.026104048 1
#> 1334 2 2 2 1 1.0018083 1.267088902 2
#> 1335 2 2 2 1 0.5796103 1.315702617 2
#> 1336 2 2 2 1 0.8411373 0.987149292 2
#> 1337 2 2 2 1 0.5429593 2.911690362 3
#> 1338 2 2 2 1 2.0803641 0.723861323 1
#> 1339 2 2 2 1 1.5013004 1.584997951 3
#> 1340 2 2 2 1 1.2644978 1.513266963 3
#> 1341 2 2 2 1 0.9150499 1.972426572 3
#> 1342 2 2 2 1 0.6722616 1.174245809 2
#> 1343 2 2 2 1 1.0806579 1.192433416 2
#> 1344 2 2 2 1 1.4809759 0.896637651 2
#> 1345 2 2 2 1 1.4913972 0.192265271 1
#> 1346 2 2 2 1 0.5444133 1.906360687 3
#> 1347 2 2 2 1 1.0104487 0.876674020 2
#> 1348 2 2 2 1 1.3577204 0.303232496 1
#> 1349 2 2 2 1 2.5908268 0.630051882 1
#> 1350 2 2 2 1 1.9746570 0.309562783 1
#> 1351 2 2 2 1 0.5816842 1.040119409 2
#> 1352 2 2 2 1 2.0096737 0.203471405 1
#> 1353 2 2 2 1 1.4809190 0.935082080 2
#> 1354 2 2 2 1 0.6167053 2.641894831 3
#> 1355 2 2 2 1 1.5481924 0.318308749 1
#> 1356 2 2 2 1 1.8113540 0.501728129 1
#> 1357 2 2 2 1 0.8101938 1.710604622 3
#> 1358 2 2 2 1 1.4332652 1.073600050 2
#> 1359 2 2 2 1 1.1594407 1.028641313 2
#> 1360 2 2 2 1 0.6804333 1.722094087 3
#> 1361 2 2 2 1 0.6315732 2.819545089 3
#> 1362 2 2 2 1 0.9446473 0.294550200 1
#> 1363 2 2 2 1 1.4785519 1.365882739 2
#> 1364 2 2 2 1 1.4558733 1.208611448 2
#> 1365 2 2 2 1 1.2254560 0.731475718 1
#> 1366 2 2 2 1 1.3986446 0.229024234 1
#> 1367 2 2 2 1 0.9147779 0.550907334 1
#> 1368 2 2 2 1 1.1680703 1.134944724 2
#> 1369 2 2 2 1 0.9256788 1.570884117 3
#> 1370 2 2 2 1 1.5204270 0.389350445 1
#> 1371 2 2 2 1 0.9130840 1.358283623 2
#> 1372 2 2 2 1 0.6679576 2.552052136 3
#> 1373 2 2 2 1 1.3718315 1.438450463 2
#> 1374 2 2 2 1 1.5825423 0.718886603 1
#> 1375 2 2 2 1 1.1936068 1.464538966 2
#> 1376 2 2 2 1 0.7634888 2.112694313 3
#> 1377 2 2 2 1 1.2406148 1.110641544 2
#> 1378 2 2 2 1 0.8766808 1.225153982 2
#> 1379 2 2 2 1 1.7621813 0.721624980 1
#> 1380 2 2 2 1 1.0546290 1.386556651 2
#> 1381 2 2 2 1 0.7628053 1.644532211 3
#> 1382 2 2 1 0 2.0657804 0.295053268 1
#> 1383 2 2 2 1 0.6317872 1.284064335 2
#> 1384 2 2 2 1 0.8041410 1.031267003 2
#> 1385 2 2 2 1 2.3203870 0.301030820 1
#> 1386 2 2 2 1 0.4249719 2.461145054 3
#> 1387 2 2 2 1 0.7874973 0.810949669 2
#> 1388 2 2 2 1 1.1131058 1.229594041 2
#> 1389 2 2 2 1 1.9982850 0.102409518 1
#> 1390 2 2 2 1 1.0558949 0.998865918 2
#> 1391 2 2 2 1 1.1237130 1.033661731 2
#> 1392 2 2 2 1 1.1064825 0.644589464 1
#> 1393 2 2 2 1 1.1154271 0.231027212 1
#> 1394 2 2 2 1 0.9491904 0.946042325 2
#> 1395 2 2 2 1 1.7789337 0.720714718 1
#> 1396 2 2 2 1 1.5186803 0.554286097 1
#> 1397 2 2 2 1 1.3053322 1.033504858 2
#> 1398 2 2 1 0 2.0936741 0.305262826 1
#> 1399 2 2 2 1 1.3149443 0.989682061 2
#> 1400 2 2 2 1 0.9783355 1.182710434 2
#> 1401 2 2 2 1 1.5831495 0.506783070 1
#> 1402 2 2 2 1 1.1482756 0.856193698 2
#> 1403 2 2 2 1 0.8703919 1.005208726 2
#> 1404 2 2 2 1 3.6662150 0.304066755 1
#> 1405 2 2 2 1 1.6087056 1.088550606 2
#> 1406 2 2 2 1 1.1649602 1.018397039 2
#> 1407 2 2 2 1 0.6040678 1.252352943 2
#> 1408 2 2 2 1 1.0475132 1.558628484 3
#> 1409 2 2 2 1 0.9845556 1.563111498 3
#> 1410 2 2 2 1 0.6515602 1.204785643 2
#> 1411 2 2 2 1 0.8895571 1.369061115 2
#> 1412 2 2 1 0 2.5503474 0.279418751 1
#> 1413 2 2 2 1 1.7835637 1.269489926 2
#> 1414 2 2 2 1 0.6946479 0.990111973 2
#> 1415 2 2 2 1 0.9073431 1.213535000 2
#> 1416 2 2 2 1 1.1611558 1.121979097 2
#> 1417 2 2 2 1 1.2397044 1.099089271 2
#> 1418 2 2 2 1 1.1499105 1.205040509 2
#> 1419 2 2 2 1 0.9635301 2.256593672 3
#> 1420 2 2 2 1 1.0668435 1.303833155 2
#> 1421 2 2 2 1 1.1502650 1.444337172 2
#> 1422 2 2 2 1 2.0637139 0.220715825 1
#> 1423 2 2 1 0 2.0194732 0.464885540 1
#> 1424 2 2 2 1 0.8012477 1.219114181 2
#> 1425 2 2 2 1 0.8945192 1.397030629 2
#> 1426 2 2 2 1 0.8267694 1.975806249 3
#> 1427 2 2 2 1 0.9465920 1.277006917 2
#> 1428 2 2 2 1 0.9254588 1.982578106 3
#> 1429 2 2 2 1 0.3063093 1.277854371 2
#> 1430 2 2 2 1 0.7594571 1.255510109 2
#> 1431 2 2 1 0 1.4226244 0.311653033 1
#> 1432 2 2 2 1 0.9210938 1.664393394 3
#> 1433 2 2 2 1 1.5813102 1.264109845 2
#> 1434 2 2 2 1 1.1648424 1.242623958 2
#> 1435 2 2 2 1 0.7351020 0.977237816 2
#> 1436 2 2 1 0 1.4132153 0.268617018 1
#> 1437 2 2 2 1 0.8096017 0.924085995 2
#> 1438 2 2 2 1 2.4693192 0.864101363 2
#> 1439 2 2 2 1 0.6853050 1.221434354 2
#> 1440 2 2 2 1 1.8578289 0.074173070 1
#> 1441 2 2 2 1 0.6411866 1.746771121 3
#> 1442 2 2 2 1 0.5819517 0.928549806 2
#> 1443 2 2 2 1 1.5502664 0.499573125 1
#> 1444 2 2 2 1 0.9569028 0.845754045 2
#> 1445 2 2 2 1 0.8402148 1.909864603 3
#> 1446 2 2 2 1 1.0765024 0.656641884 1
#> 1447 2 2 2 1 1.2043361 1.055585047 2
#> 1448 2 2 2 1 1.0570913 0.941734643 2
#> 1449 2 2 2 1 0.4209428 2.634907245 3
#> 1450 2 2 2 1 0.6122399 1.582384587 3
#> 1451 2 2 2 1 1.6173504 1.250037382 2
#> 1452 2 2 2 1 1.1550782 1.549342276 3
#> 1453 2 2 2 1 1.1582047 1.299443045 2
#> 1454 2 2 2 1 0.9799152 1.173713464 2
#> 1455 2 2 2 1 0.9157602 1.377654974 2
#> 1456 2 2 2 1 0.8801583 1.020612501 2
#> 1457 2 2 1 0 1.7631537 0.580198253 1
#> 1458 2 2 2 1 0.7505058 0.984839991 2
#> 1459 2 2 2 1 0.6842035 1.436197324 2
#> 1460 2 2 1 0 1.5783247 0.221984495 1
#> 1461 2 2 1 0 1.6167759 0.108801876 1
#> 1462 2 2 2 1 1.1710565 0.906503009 2
#> 1463 2 2 1 0 1.5266263 0.030822404 1
#> 1464 2 2 2 1 1.3364003 0.895994681 2
#> 1465 2 2 1 0 1.7057967 0.567466895 1
#> 1466 2 2 2 1 0.8512130 0.625618723 1
#> 1467 2 2 2 1 0.5361059 1.701111794 3
#> 1468 2 2 2 1 1.3971057 1.325828295 2
#> 1469 2 2 2 1 2.1024567 0.822739458 2
#> 1470 2 2 2 1 1.4795277 1.335962977 2
#> 1471 2 2 2 1 0.5966599 1.668659198 3
#> 1472 2 2 1 0 2.0623058 0.091550695 1
#> 1473 2 2 2 1 1.7626998 0.393810406 1
#> 1474 2 2 2 1 1.2571391 0.550591746 1
#> 1475 2 2 2 1 1.8089940 0.678195360 1
#> 1476 2 2 2 1 0.8593711 1.451865252 2
#> 1477 2 2 2 1 0.4808401 1.914889552 3
#> 1478 2 2 2 1 0.6153296 1.051722083 2
#> 1479 2 2 2 1 0.9903059 1.186810874 2
#> 1480 2 2 2 1 1.0628508 0.548190446 1
#> 1481 2 2 2 1 0.5059817 1.940585798 3
#> 1482 2 2 2 1 1.7490655 0.268378370 1
#> 1483 2 2 2 1 0.8071431 1.626848385 3
#> 1484 2 2 2 1 1.0811919 1.432928229 2
#> 1485 2 2 1 0 1.2753972 0.344290182 1
#> 1486 2 2 2 1 2.4814564 0.512756833 1
#> 1487 2 2 2 1 0.7034358 2.436657643 3
#> 1488 2 2 2 1 0.5697781 1.746376004 3
#> 1489 2 2 2 1 1.0269261 1.654205711 3
#> 1490 2 2 2 1 0.4050641 1.750057093 3
#> 1491 2 2 2 1 1.1649310 1.555393371 3
#> 1492 2 2 2 1 2.5425335 0.046850719 1
#> 1493 2 2 2 1 1.0552260 1.414918304 2
#> 1494 2 2 2 1 1.4317411 1.182006977 2
#> 1495 2 2 2 1 1.2437268 0.498916168 1
#> 1496 2 2 2 1 1.0521929 1.123561032 2
#> 1497 2 2 2 1 0.8542346 0.698475474 1
#> 1498 2 2 2 1 0.6399336 1.555022484 3
#> 1499 2 2 2 1 0.7418425 0.857196974 2
#> 1500 2 2 2 1 0.6569124 2.120991471 3
#> 1501 2 2 2 1 1.3433184 0.600738508 1
#> 1502 2 2 2 1 1.0051606 0.245559819 1
#> 1503 2 2 2 1 0.9147872 1.091872751 2
#> 1504 2 2 2 1 2.0926713 0.344479716 1
#> 1505 2 2 2 1 0.6115215 2.102202575 3
#> 1506 2 2 2 1 0.6579762 1.704522968 3
#> 1507 2 2 2 1 1.3543898 1.888366242 3
#> 1508 2 2 2 1 1.8150655 0.470711236 1
#> 1509 2 2 2 1 1.0844817 1.141115089 2
#> 1510 2 2 2 1 1.4914079 1.348126787 2
#> 1511 2 2 2 1 0.6846619 1.103223892 2
#> 1512 2 2 1 0 1.1679719 0.030393865 1
#> 1513 2 2 2 1 2.5169634 0.516577712 1
#> 1514 2 2 2 1 1.1897197 1.270030144 2
#> 1515 2 2 2 1 1.8548574 0.522733091 1
#> 1516 2 2 2 1 1.2213048 1.515713960 3
#> 1517 2 2 2 1 0.7116301 1.582218136 3
#> 1518 2 2 2 1 2.6092408 0.341674395 1
#> 1519 2 2 2 1 0.5387836 1.461931939 2
#> 1520 2 2 2 1 1.4387098 1.157550219 2
#> 1521 2 2 2 1 0.8545061 1.455881486 2
#> 1522 2 2 2 1 1.1583385 0.326177942 1
#> 1523 2 2 2 1 0.9521654 1.601741615 3
#> 1524 2 2 2 1 1.5791258 0.343290373 1
#> 1525 2 2 2 1 1.2449064 1.105306632 2
#> 1526 2 2 2 1 0.7870316 1.061807530 2
#> 1527 2 2 2 1 0.9818071 1.230329476 2
#> 1528 2 2 2 1 1.8534754 0.304838292 1
#> 1529 2 2 2 1 0.5140193 1.845441821 3
#> 1530 2 2 2 1 1.7554990 1.270366887 2
#> 1531 2 2 1 0 1.7358105 0.009038708 1
#> 1532 2 2 2 1 1.2566866 0.108392339 1
#> 1533 2 2 2 1 1.1577946 0.468586374 1
#> 1534 2 2 2 1 0.5241982 2.357874950 3
#> 1535 2 2 2 1 0.8981051 0.736911306 1
#> 1536 2 2 2 1 0.7566409 0.836218806 2
#> 1537 2 2 2 1 0.8028056 1.179161305 2
#> 1538 2 2 2 1 0.3477241 2.188195960 3
#> 1539 2 2 2 1 0.8283528 1.426716725 2
#> 1540 2 2 2 1 0.7221695 0.773881712 1
#> 1541 2 2 2 1 0.5864058 1.386571522 2
#> 1542 2 2 2 1 0.5018361 1.190687966 2
#> 1543 2 2 2 1 1.5155086 0.578654852 1
#> 1544 2 2 2 1 0.9788230 1.227841838 2
#> 1545 2 2 2 1 1.8656852 0.478398723 1
#> 1546 2 2 2 1 2.0095136 0.660217228 1
#> 1547 2 2 2 1 1.5793440 0.221915571 1
#> 1548 2 2 2 1 1.5586820 0.338001542 1
#> 1549 2 2 2 1 0.7536457 1.292614690 2
#> 1550 2 2 2 1 1.1598488 1.192852915 2
#> 1551 2 2 2 1 0.6759181 2.687840328 3
#> 1552 2 2 2 1 1.0750675 0.774725126 1
#> 1553 2 2 2 1 0.7510205 1.739914248 3
#> 1554 2 2 2 1 1.4678025 0.815941815 2
#> 1555 2 2 2 1 1.0151837 1.079514285 2
#> 1556 2 2 2 1 0.9705277 1.820163967 3
#> 1557 2 2 2 1 0.5788460 1.698003037 3
#> 1558 2 2 2 1 0.6410160 1.928162391 3
#> 1559 2 2 2 1 2.5998948 0.407923497 1
#> 1560 2 2 2 1 2.1097594 0.032172393 1
#> 1561 2 2 2 1 0.6735319 1.566546286 3
#> 1562 2 2 2 1 1.1616492 0.855701849 2
#> 1563 2 2 1 0 1.4433995 0.250755378 1
#> 1564 2 2 2 1 0.4700287 2.011447337 3
#> 1565 2 2 2 1 1.4826760 0.603484447 1
#> 1566 2 2 2 1 0.9782070 0.979012773 2
#> 1567 2 2 2 1 1.5230218 0.408172030 1
#> 1568 2 2 2 1 2.2321512 0.146717267 1
#> 1569 2 2 2 1 0.5716946 1.848915629 3
#> 1570 2 2 2 1 1.4151424 1.476857617 2
#> 1571 2 2 2 1 1.2340720 1.429081114 2
#> 1572 2 2 2 1 0.6540745 0.824608332 2
#> 1573 2 2 2 1 1.3023599 1.682188827 3
#> 1574 2 2 2 1 0.7290268 2.358548346 3
#> 1575 2 2 2 1 0.4515742 1.623680133 3
#> 1576 2 2 2 1 1.0090607 1.483184591 2
#> 1577 2 2 2 1 0.8524368 0.751196063 1
#> 1578 2 2 2 1 0.9267337 1.720165340 3
#> 1579 2 2 2 1 1.2394790 1.587801481 3
#> 1580 2 2 2 1 3.0718464 0.120934115 1
#> 1581 2 2 2 1 0.8760906 1.727997108 3
#> 1582 2 2 2 1 1.8027455 1.506430242 3
#> 1583 2 2 2 1 1.7920979 0.897364331 2
#> 1584 2 2 2 1 1.1347686 0.684320054 1
#> 1585 2 2 2 1 1.2686042 1.415170427 2
#> 1586 2 2 2 1 1.7058732 0.866730947 2
#> 1587 2 2 2 1 1.7543940 0.137995639 1
#> 1588 2 2 2 1 1.2790466 1.524867444 3
#> 1589 2 2 1 0 0.5030397 0.192613609 1
#> 1590 2 2 2 1 0.9576895 1.499184011 2
#> 1591 2 2 2 1 1.4655541 0.816266922 2
#> 1592 2 2 2 1 0.6235570 1.232646798 2
#> 1593 2 2 2 1 0.9152362 0.778874315 1
#> 1594 2 2 2 1 1.1001152 1.430825120 2
#> 1595 2 2 2 1 1.1865371 1.094264230 2
#> 1596 2 2 1 0 1.9422333 0.844954658 2
#> 1597 2 2 2 1 2.9162720 0.421942690 1
#> 1598 2 2 2 1 1.2306790 0.791869912 1
#> 1599 2 2 2 1 0.8032903 1.551770931 3
#> 1600 2 2 2 1 1.2249085 1.121175108 2
#>
#> $gamma
#> $gamma$condition
#> # A tibble: 2 × 2
#> correct Gamma
#> <dbl> <dbl>
#> 1 0 -0.402
#> 2 1 0.460
#>
#> $gamma$rt
#> # A tibble: 2 × 2
#> correct Gamma
#> <dbl> <dbl>
#> 1 0 -0.402
#> 2 1 -0.569
#>
#> $gamma$correct
#> # A tibble: 2 × 2
#> condition Gamma
#> <int> <dbl>
#> 1 1 0.662
#> 2 2 0.946
#>
#> $gamma$rt_bycondition
#> # A tibble: 2 × 2
#> condition Gamma
#> <int> <dbl>
#> 1 1 -0.521
#> 2 2 -0.550
#>
#> $gamma$rt_byconditionbycorrect
#> # A tibble: 4 × 3
#> condition correct Gamma
#> <int> <dbl> <dbl>
#> 1 1 0 -0.543
#> 2 1 1 -0.498
#> 3 2 0 -0.0850
#> 4 2 1 -0.541
#>
#>
# }
# Example with asymmetric confidence thresholds
paramDf_asym <- data.frame(v1=0.5, v2=1.0, t0=0.1, st0=0,
mu_d1=1, mu_d2=1,
s1=0.5, s2=0.5, rho=0.2,
thetaLower1=0.5, thetaLower2=1.2,
thetaUpper1=0.7, thetaUpper2=1.8)
simus_asym <- simulateMTLNR(paramDf_asym, n = 1000)
head(simus_asym)
#> condition stimulus response correct rt conf rating
#> 1 1 1 1 1 3.420575 0.96100655 2
#> 2 1 1 1 1 2.891788 0.36445419 1
#> 3 1 1 1 1 1.393999 0.89136444 2
#> 4 1 1 1 1 1.766385 1.06768445 2
#> 5 1 1 2 0 1.244454 0.28932499 1
#> 6 1 1 1 1 2.350296 0.07335215 1
# Example with multiple conditions
paramDf_multi <- data.frame(v1=0.3, v2=0.6, v3=1.2, t0=0.1, st0=0,
mu_d1=1, mu_d2=1,
s1=0.5, s2=0.5, rho=0.2,
theta1=0.8, theta2=1.5)
simus_multi <- simulateMTLNR(paramDf_multi, n = 1000)
table(simus_multi$condition, simus_multi$correct)
#>
#> 0 1
#> 1 636 1364
#> 2 345 1655
#> 3 66 1934