Simulation of confidence ratings and RTs in the Multiple-threshold Log-normal Race Model
Source:R/simulateMTLNR.R
simulateMTLNR.Rd
Simulates 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 dataframe with one row. Column names should match the names of MTLNR model specific parameter names. For different stimulus quality/mean drift rates, names should be
v1
,v2
,v3
,.... Additionally, the confidence thresholds should be given by names withthetaUpper1
,thetaUpper2
,...,thetaLower1
,... or, for symmetric thresholds only bytheta1
,theta2
,....- 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,
s_v1=0.5, s_v2=0.5,
s_d1=0.3, s_d2=0.3,
rho_v=0.2, rho_d=0.1,
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 1 1 1.6771830 0.1639733 1
#> 2 1 1 1 1 2.4031542 0.2352296 1
#> 3 1 1 1 1 0.8161488 0.5558157 1
#> 4 1 1 2 0 1.5707194 0.7034179 1
#> 5 1 1 1 1 2.3346020 1.0453644 2
#> 6 1 1 1 1 2.0995131 0.5686660 1
# \donttest{
library(ggplot2)
simus <- simus[simus$response != 0, ]
simus$rating <- factor(simus$rating, labels = c("unsure", "medium", "sure"))
ggplot(simus, aes(x = rt, group = interaction(correct, rating),
color = as.factor(correct), linetype = rating)) +
geom_density(linewidth = 1.2) + xlim(c(0, 5)) +
facet_grid(rows = vars(condition), labeller = "label_both")
#> Warning: Removed 172 rows containing non-finite outside the scale range
#> (`stat_density()`).
# }
# automatically aggregate simulation distribution
# to get only accuracy x confidence rating distribution for
# all conditions
agg_simus <- simulateMTLNR(paramDf, agg_simus = TRUE)
head(agg_simus)
#> # A tibble: 6 × 4
#> rating correct condition p
#> <dbl> <dbl> <int> <dbl>
#> 1 1 0 1 0.208
#> 2 1 0 2 0.0833
#> 3 1 1 1 0.405
#> 4 1 1 2 0.300
#> 5 2 0 1 0.035
#> 6 2 0 2 0.0086
# \donttest{
agg_simus$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 4.6945595 0.011410687 1
#> 2 1 1 1 1 0.9138453 0.995990692 2
#> 3 1 1 1 1 0.3528812 2.564533468 3
#> 4 1 1 1 1 2.2930963 0.606865384 1
#> 5 1 1 2 0 1.1206365 0.249311124 1
#> 6 1 1 1 1 0.8319576 2.187899114 3
#> 7 1 1 1 1 0.8543624 2.093999415 3
#> 8 1 1 1 1 1.4292073 0.272472861 1
#> 9 1 1 1 1 2.2942832 0.310820907 1
#> 10 1 1 1 1 0.6174350 1.112095230 2
#> 11 1 1 1 1 2.5113264 0.248117513 1
#> 12 1 1 1 1 1.6807862 1.284560549 2
#> 13 1 1 2 0 1.6790772 0.016809641 1
#> 14 1 1 1 1 2.7011290 0.990399214 2
#> 15 1 1 1 1 0.9791696 1.164343895 2
#> 16 1 1 1 1 2.7646014 0.145549350 1
#> 17 1 1 2 0 1.0440175 0.009417066 1
#> 18 1 1 1 1 0.7470052 1.243891434 2
#> 19 1 1 1 1 1.9675156 0.573877543 1
#> 20 1 1 1 1 1.9736932 1.223609837 2
#> 21 1 1 1 1 1.0886655 0.816701236 2
#> 22 1 1 2 0 4.4992049 0.083584009 1
#> 23 1 1 2 0 0.9195578 0.945989930 2
#> 24 1 1 2 0 2.5075377 0.446726625 1
#> 25 1 1 2 0 1.2683510 0.303211428 1
#> 26 1 1 1 1 1.5359506 0.988906007 2
#> 27 1 1 2 0 2.2649551 0.251753359 1
#> 28 1 1 1 1 0.8339927 1.911293500 3
#> 29 1 1 1 1 0.7857076 1.994595855 3
#> 30 1 1 1 1 2.3135890 0.039256085 1
#> 31 1 1 1 1 1.4785691 0.350078822 1
#> 32 1 1 1 1 2.3968629 0.931855932 2
#> 33 1 1 1 1 1.8215671 0.541241965 1
#> 34 1 1 1 1 2.6876929 0.179622986 1
#> 35 1 1 1 1 0.7582449 1.870256616 3
#> 36 1 1 1 1 3.7306412 0.677548720 1
#> 37 1 1 1 1 1.8113251 0.982420335 2
#> 38 1 1 2 0 0.9758124 0.413981230 1
#> 39 1 1 1 1 1.0171530 1.457281131 2
#> 40 1 1 1 1 1.0403144 1.453665314 2
#> 41 1 1 1 1 1.3237048 1.316238589 2
#> 42 1 1 1 1 0.8651030 2.316918365 3
#> 43 1 1 1 1 2.2062714 0.819177794 2
#> 44 1 1 1 1 1.9971541 0.597298755 1
#> 45 1 1 1 1 4.2758452 0.823787467 2
#> 46 1 1 2 0 2.3550874 0.720638716 1
#> 47 1 1 1 1 2.6443323 0.557253648 1
#> 48 1 1 1 1 0.8828593 0.338802476 1
#> 49 1 1 1 1 2.0730908 0.980673652 2
#> 50 1 1 1 1 0.8739116 0.630753017 1
#> 51 1 1 2 0 0.8088980 0.787819649 1
#> 52 1 1 1 1 1.0136195 1.613717059 3
#> 53 1 1 2 0 1.4418342 0.714166079 1
#> 54 1 1 1 1 1.1090850 1.332140745 2
#> 55 1 1 1 1 1.4155847 0.774436336 1
#> 56 1 1 1 1 1.5207718 0.926921095 2
#> 57 1 1 1 1 1.2969457 1.208666568 2
#> 58 1 1 1 1 2.0512273 0.690292247 1
#> 59 1 1 2 0 3.6096911 0.143018398 1
#> 60 1 1 1 1 1.7921028 0.868405967 2
#> 61 1 1 2 0 2.7165841 0.065329685 1
#> 62 1 1 1 1 0.9826653 0.021516966 1
#> 63 1 1 1 1 1.1656760 0.198311083 1
#> 64 1 1 1 1 1.4068982 1.118042522 2
#> 65 1 1 1 1 2.3069781 0.504823916 1
#> 66 1 1 1 1 1.1314154 1.569079104 3
#> 67 1 1 2 0 3.3898707 0.511066809 1
#> 68 1 1 1 1 4.4400848 0.634179022 1
#> 69 1 1 2 0 1.8005623 1.101039176 2
#> 70 1 1 1 1 1.1939519 0.787696150 1
#> 71 1 1 1 1 3.5652246 0.922745351 2
#> 72 1 1 1 1 1.5744535 0.165448849 1
#> 73 1 1 2 0 1.8572898 0.002706283 1
#> 74 1 1 1 1 1.5180484 0.471967680 1
#> 75 1 1 1 1 3.1751671 1.425600978 2
#> 76 1 1 1 1 1.7292922 0.320476555 1
#> 77 1 1 1 1 0.7433627 1.386814902 2
#> 78 1 1 1 1 3.8053046 0.508552047 1
#> 79 1 1 1 1 3.4434571 1.105403804 2
#> 80 1 1 1 1 2.6504810 1.149477707 2
#> 81 1 1 2 0 2.0290240 0.405471272 1
#> 82 1 1 1 1 0.8668157 2.091533400 3
#> 83 1 1 1 1 0.3571368 2.380915937 3
#> 84 1 1 1 1 1.1532286 0.269642109 1
#> 85 1 1 2 0 1.8327852 0.132669285 1
#> 86 1 1 1 1 1.4736957 0.799340124 1
#> 87 1 1 1 1 2.6847843 0.817219609 2
#> 88 1 1 1 1 1.0814965 0.727912013 1
#> 89 1 1 1 1 1.9994991 1.080959242 2
#> 90 1 1 2 0 3.0298001 0.543960675 1
#> 91 1 1 1 1 2.0369652 0.186235505 1
#> 92 1 1 1 1 1.1382747 1.777324929 3
#> 93 1 1 1 1 0.6633662 1.161102883 2
#> 94 1 1 1 1 0.7652592 0.776671745 1
#> 95 1 1 1 1 0.7905889 1.936956617 3
#> 96 1 1 1 1 1.7910324 0.206996267 1
#> 97 1 1 2 0 2.8826839 0.453627530 1
#> 98 1 1 2 0 2.7221276 0.275100976 1
#> 99 1 1 2 0 1.9705077 0.390101375 1
#> 100 1 1 1 1 1.4169422 0.843552024 2
#> 101 1 1 2 0 1.2796137 0.063118510 1
#> 102 1 1 1 1 2.8584007 0.756332604 1
#> 103 1 1 1 1 2.6479372 0.416711752 1
#> 104 1 1 1 1 5.8460084 0.688479298 1
#> 105 1 1 2 0 1.9460144 0.526322903 1
#> 106 1 1 1 1 1.1588703 1.422799870 2
#> 107 1 1 2 0 1.2115322 0.344952714 1
#> 108 1 1 2 0 3.3536467 0.040154592 1
#> 109 1 1 1 1 1.3908516 1.042129253 2
#> 110 1 1 1 1 1.9157772 0.949872821 2
#> 111 1 1 1 1 1.3304221 0.054423311 1
#> 112 1 1 1 1 1.0881836 0.382724063 1
#> 113 1 1 1 1 1.2345141 0.981457936 2
#> 114 1 1 1 1 1.5870684 0.453470708 1
#> 115 1 1 1 1 1.8070502 0.549674978 1
#> 116 1 1 1 1 1.6390175 1.016581663 2
#> 117 1 1 1 1 0.8200408 0.105698286 1
#> 118 1 1 1 1 1.2262082 0.445232104 1
#> 119 1 1 1 1 1.3934092 0.796469604 1
#> 120 1 1 1 1 0.8924165 1.957931840 3
#> 121 1 1 1 1 2.2796142 0.289956778 1
#> 122 1 1 1 1 1.3305474 0.897547207 2
#> 123 1 1 1 1 1.6934247 1.542825956 3
#> 124 1 1 2 0 1.2578247 0.300491293 1
#> 125 1 1 1 1 2.4481418 0.062094912 1
#> 126 1 1 2 0 1.5939125 0.582640368 1
#> 127 1 1 2 0 2.1554384 0.173067904 1
#> 128 1 1 2 0 2.3865550 0.793564900 1
#> 129 1 1 1 1 1.6062689 0.542780281 1
#> 130 1 1 2 0 0.7357151 1.377257979 2
#> 131 1 1 1 1 1.1773209 1.676268006 3
#> 132 1 1 2 0 1.5888486 0.283314214 1
#> 133 1 1 1 1 1.3269197 1.202581113 2
#> 134 1 1 2 0 2.2680679 0.672632181 1
#> 135 1 1 1 1 1.2982184 0.148183790 1
#> 136 1 1 2 0 1.4320366 0.290539427 1
#> 137 1 1 1 1 1.4532041 0.953203300 2
#> 138 1 1 1 1 1.1023891 0.602199592 1
#> 139 1 1 2 0 0.9329743 1.116273336 2
#> 140 1 1 2 0 0.8715854 0.562730521 1
#> 141 1 1 1 1 0.8687047 0.515631850 1
#> 142 1 1 2 0 2.8309832 0.227630889 1
#> 143 1 1 1 1 2.2900317 0.208279508 1
#> 144 1 1 2 0 3.2322231 0.404682080 1
#> 145 1 1 2 0 3.5336204 0.009637793 1
#> 146 1 1 1 1 1.3448783 1.326627210 2
#> 147 1 1 2 0 1.0858971 0.769855805 1
#> 148 1 1 1 1 1.4562872 1.515632021 3
#> 149 1 1 1 1 2.1063971 0.662617353 1
#> 150 1 1 1 1 1.0132449 0.751087535 1
#> 151 1 1 1 1 1.0381022 1.483379309 2
#> 152 1 1 1 1 1.4021523 1.450749010 2
#> 153 1 1 1 1 1.7995499 1.408753999 2
#> 154 1 1 2 0 2.0403090 0.752594214 1
#> 155 1 1 2 0 2.3097554 0.170656071 1
#> 156 1 1 1 1 2.5981169 0.432584291 1
#> 157 1 1 1 1 1.0175607 0.225035959 1
#> 158 1 1 2 0 1.8958818 0.169944959 1
#> 159 1 1 2 0 3.4808071 0.128471264 1
#> 160 1 1 2 0 3.7277359 0.289204111 1
#> 161 1 1 2 0 2.1660349 0.051782758 1
#> 162 1 1 1 1 1.2402035 0.206029078 1
#> 163 1 1 2 0 0.8178396 0.225545288 1
#> 164 1 1 1 1 3.0215613 0.484579158 1
#> 165 1 1 1 1 0.9534672 1.286663465 2
#> 166 1 1 1 1 1.3993063 0.341473730 1
#> 167 1 1 1 1 1.7482823 0.588691932 1
#> 168 1 1 1 1 2.2688801 0.175597404 1
#> 169 1 1 2 0 1.7340959 0.328009956 1
#> 170 1 1 1 1 1.6886451 1.386725005 2
#> 171 1 1 1 1 1.7501559 0.321211834 1
#> 172 1 1 1 1 1.4329742 1.807399065 3
#> 173 1 1 1 1 2.2469658 0.269018286 1
#> 174 1 1 2 0 2.1662770 0.104353897 1
#> 175 1 1 1 1 1.4365982 0.461958519 1
#> 176 1 1 1 1 2.2665912 0.398509083 1
#> 177 1 1 1 1 1.3107921 0.028099086 1
#> 178 1 1 2 0 1.7068842 0.009304594 1
#> 179 1 1 1 1 1.9828974 0.575372360 1
#> 180 1 1 1 1 1.2870638 0.986252563 2
#> 181 1 1 1 1 1.3445981 1.280116752 2
#> 182 1 1 1 1 1.1665173 0.533193704 1
#> 183 1 1 1 1 2.2183101 0.206139664 1
#> 184 1 1 2 0 2.3372436 0.456399242 1
#> 185 1 1 1 1 0.6573590 2.248164916 3
#> 186 1 1 1 1 1.5722774 0.588008007 1
#> 187 1 1 1 1 1.5240347 0.808354403 2
#> 188 1 1 1 1 1.0746425 1.653816078 3
#> 189 1 1 1 1 1.9435929 0.726849303 1
#> 190 1 1 1 1 1.2986016 0.582996860 1
#> 191 1 1 1 1 1.8040890 0.702150063 1
#> 192 1 1 1 1 2.5205072 1.199003312 2
#> 193 1 1 1 1 1.7276269 1.502966421 3
#> 194 1 1 1 1 0.7663462 2.331782357 3
#> 195 1 1 2 0 3.5032960 0.290057028 1
#> 196 1 1 1 1 1.8096692 0.654614581 1
#> 197 1 1 1 1 1.8446486 0.531241299 1
#> 198 1 1 1 1 0.6242622 1.865353668 3
#> 199 1 1 1 1 2.1364920 0.137502661 1
#> 200 1 1 1 1 1.7024297 0.105541914 1
#> 201 1 1 1 1 0.4733696 0.575949939 1
#> 202 1 1 1 1 2.4973616 0.074357841 1
#> 203 1 1 2 0 3.0512430 0.110626199 1
#> 204 1 1 1 1 1.4428375 0.714602409 1
#> 205 1 1 1 1 1.5935539 0.727074685 1
#> 206 1 1 2 0 1.9393835 0.480107610 1
#> 207 1 1 1 1 1.7757304 0.683255296 1
#> 208 1 1 1 1 6.5144752 0.010282099 1
#> 209 1 1 1 1 0.7588251 0.820130972 2
#> 210 1 1 1 1 1.6076604 1.038120958 2
#> 211 1 1 1 1 3.1149277 0.270749269 1
#> 212 1 1 2 0 2.2054854 0.290395558 1
#> 213 1 1 1 1 1.8720480 1.495535724 2
#> 214 1 1 1 1 1.3775602 0.956033640 2
#> 215 1 1 2 0 0.5449206 1.405352110 2
#> 216 1 1 1 1 1.3621644 0.820120189 2
#> 217 1 1 1 1 0.8972567 1.786596570 3
#> 218 1 1 1 1 1.0051758 1.245554551 2
#> 219 1 1 1 1 1.7986236 0.012397087 1
#> 220 1 1 1 1 0.6244840 2.460268095 3
#> 221 1 1 2 0 2.2053450 0.604778269 1
#> 222 1 1 1 1 1.1212106 1.134862068 2
#> 223 1 1 1 1 5.2489236 0.332598393 1
#> 224 1 1 2 0 1.7941736 0.163250773 1
#> 225 1 1 1 1 2.6525537 0.201316759 1
#> 226 1 1 1 1 2.7238043 0.702086868 1
#> 227 1 1 1 1 3.7233741 1.011428765 2
#> 228 1 1 1 1 1.2920231 0.632833004 1
#> 229 1 1 1 1 1.3948088 0.161125946 1
#> 230 1 1 1 1 2.5053203 0.685301061 1
#> 231 1 1 1 1 1.4423981 0.383139043 1
#> 232 1 1 1 1 2.9090236 1.166412879 2
#> 233 1 1 1 1 0.5777150 1.436262375 2
#> 234 1 1 1 1 1.6830439 0.680682697 1
#> 235 1 1 1 1 1.3300468 0.194027272 1
#> 236 1 1 1 1 1.0307220 0.969378082 2
#> 237 1 1 1 1 1.8299925 0.017254715 1
#> 238 1 1 2 0 1.9414810 0.053381475 1
#> 239 1 1 2 0 2.3098968 0.577824145 1
#> 240 1 1 1 1 0.5171109 1.962711383 3
#> 241 1 1 2 0 1.1972817 0.084433010 1
#> 242 1 1 1 1 1.4850660 1.404763326 2
#> 243 1 1 1 1 0.8603984 0.435226877 1
#> 244 1 1 1 1 1.4582540 1.723886605 3
#> 245 1 1 1 1 1.4517123 1.156129080 2
#> 246 1 1 1 1 1.2420961 0.482676374 1
#> 247 1 1 1 1 1.0173147 1.169773181 2
#> 248 1 1 1 1 1.6920508 0.968130881 2
#> 249 1 1 2 0 1.9947919 0.336429806 1
#> 250 1 1 1 1 0.5731647 2.105868088 3
#> 251 1 1 1 1 1.0364698 1.357541120 2
#> 252 1 1 2 0 1.0658279 0.293685452 1
#> 253 1 1 1 1 1.1011069 1.358203617 2
#> 254 1 1 1 1 1.0953855 1.014626763 2
#> 255 1 1 1 1 3.3004729 0.497907076 1
#> 256 1 1 1 1 1.8112913 0.458372704 1
#> 257 1 1 2 0 5.3266918 0.228528600 1
#> 258 1 1 1 1 2.0065047 0.548569812 1
#> 259 1 1 2 0 1.8990862 0.361706400 1
#> 260 1 1 1 1 3.4103689 0.066203534 1
#> 261 1 1 1 1 1.8933890 1.546755947 3
#> 262 1 1 1 1 0.5315921 1.595079428 3
#> 263 1 1 1 1 1.7187684 1.009969719 2
#> 264 1 1 1 1 0.5065004 2.857170744 3
#> 265 1 1 2 0 1.5586385 0.424935515 1
#> 266 1 1 2 0 1.6646160 0.241752733 1
#> 267 1 1 1 1 2.3403998 0.963752356 2
#> 268 1 1 2 0 1.7444512 0.109603002 1
#> 269 1 1 2 0 0.9753389 0.402093311 1
#> 270 1 1 1 1 1.2961714 0.332058233 1
#> 271 1 1 1 1 1.8090969 0.602425845 1
#> 272 1 1 2 0 2.7917292 0.209903298 1
#> 273 1 1 1 1 1.4177328 1.357604171 2
#> 274 1 1 1 1 1.2169447 0.654353019 1
#> 275 1 1 2 0 2.3560686 0.323179238 1
#> 276 1 1 2 0 0.9696344 0.284905883 1
#> 277 1 1 1 1 0.9247541 0.981488209 2
#> 278 1 1 1 1 1.4839916 1.228399976 2
#> 279 1 1 1 1 0.9947413 0.982872278 2
#> 280 1 1 2 0 1.4239748 1.101327958 2
#> 281 1 1 2 0 2.1653988 0.113817370 1
#> 282 1 1 1 1 1.3649266 0.330952985 1
#> 283 1 1 1 1 3.4852520 0.508905815 1
#> 284 1 1 2 0 1.1227615 0.110503971 1
#> 285 1 1 1 1 2.3256224 0.442207793 1
#> 286 1 1 1 1 4.3714377 0.335877064 1
#> 287 1 1 1 1 0.9272476 1.732089253 3
#> 288 1 1 2 0 0.7874869 0.491997480 1
#> 289 1 1 2 0 2.5055043 0.542544725 1
#> 290 1 1 1 1 2.0956066 0.357046869 1
#> 291 1 1 1 1 2.0185125 0.730858389 1
#> 292 1 1 2 0 2.6091224 0.104269721 1
#> 293 1 1 2 0 2.0557205 0.643064455 1
#> 294 1 1 1 1 0.5981988 2.115105248 3
#> 295 1 1 1 1 1.1543983 1.602522988 3
#> 296 1 1 1 1 2.2119066 1.017548250 2
#> 297 1 1 1 1 0.8863553 1.828875008 3
#> 298 1 1 2 0 1.7258933 0.270773439 1
#> 299 1 1 1 1 1.2494274 0.861693672 2
#> 300 1 1 1 1 2.0620052 0.820558955 2
#> 301 1 1 2 0 2.0913717 0.618968472 1
#> 302 1 1 1 1 3.1763235 0.334440894 1
#> 303 1 1 1 1 2.1113281 0.649067099 1
#> 304 1 1 1 1 0.9914837 1.188195157 2
#> 305 1 1 1 1 0.8518204 1.625840444 3
#> 306 1 1 1 1 1.0231971 0.899229431 2
#> 307 1 1 1 1 1.0496171 0.960394308 2
#> 308 1 1 1 1 1.2941815 0.786402666 1
#> 309 1 1 2 0 1.9737386 0.412464059 1
#> 310 1 1 1 1 1.2016681 1.236301337 2
#> 311 1 1 1 1 0.8142758 1.333202129 2
#> 312 1 1 1 1 0.6114433 1.833778758 3
#> 313 1 1 1 1 2.1262529 0.020952055 1
#> 314 1 1 2 0 3.5866318 0.023081887 1
#> 315 1 1 2 0 2.9702622 0.194278684 1
#> 316 1 1 1 1 0.9219266 2.020492134 3
#> 317 1 1 1 1 2.4299808 0.555968571 1
#> 318 1 1 1 1 2.4239336 0.511922838 1
#> 319 1 1 1 1 2.8202003 0.178219009 1
#> 320 1 1 2 0 1.5636457 0.465241748 1
#> 321 1 1 2 0 2.8819214 0.250269742 1
#> 322 1 1 2 0 1.5879176 0.087197375 1
#> 323 1 1 1 1 2.1086758 0.583435139 1
#> 324 1 1 1 1 1.9206221 0.780811547 1
#> 325 1 1 2 0 0.6643278 1.250455069 2
#> 326 1 1 1 1 0.8264521 1.650533602 3
#> 327 1 1 1 1 1.3753326 0.308966622 1
#> 328 1 1 2 0 1.4647756 0.410468848 1
#> 329 1 1 1 1 1.2543501 1.009802049 2
#> 330 1 1 2 0 3.7632201 0.268433938 1
#> 331 1 1 1 1 1.3408998 1.000985019 2
#> 332 1 1 1 1 1.4450126 1.078910856 2
#> 333 1 1 2 0 3.4534055 0.337950991 1
#> 334 1 1 1 1 2.5564000 0.417191641 1
#> 335 1 1 1 1 1.0219770 0.787821171 1
#> 336 1 1 1 1 1.0124820 0.544070669 1
#> 337 1 1 2 0 2.1427767 0.118476577 1
#> 338 1 1 1 1 2.6051740 0.481790721 1
#> 339 1 1 1 1 1.1852439 1.137871291 2
#> 340 1 1 1 1 2.5125515 1.585516336 3
#> 341 1 1 1 1 3.2944197 0.105133882 1
#> 342 1 1 1 1 2.5139835 0.483179278 1
#> 343 1 1 1 1 0.6525355 1.402719921 2
#> 344 1 1 1 1 1.1109214 0.883102879 2
#> 345 1 1 2 0 1.2573029 0.498174917 1
#> 346 1 1 2 0 1.5611628 1.688875330 3
#> 347 1 1 1 1 1.5936305 0.970118765 2
#> 348 1 1 1 1 2.4035709 0.607501679 1
#> 349 1 1 2 0 1.2715116 0.040058160 1
#> 350 1 1 1 1 2.2445096 0.448724431 1
#> 351 1 1 1 1 1.4389427 1.533817964 3
#> 352 1 1 2 0 1.3840751 0.621281041 1
#> 353 1 1 2 0 1.2360046 0.989828346 2
#> 354 1 1 2 0 2.4741469 0.512286438 1
#> 355 1 1 1 1 0.6720075 1.072292866 2
#> 356 1 1 2 0 3.6889182 0.475889611 1
#> 357 1 1 1 1 1.2464612 0.638940992 1
#> 358 1 1 1 1 0.4324450 1.422714528 2
#> 359 1 1 1 1 2.7347588 0.514717965 1
#> 360 1 1 2 0 2.1003125 0.586079958 1
#> 361 1 1 2 0 0.6114524 0.745755114 1
#> 362 1 1 2 0 1.7246085 1.183422951 2
#> 363 1 1 1 1 2.4166050 0.825865534 2
#> 364 1 1 2 0 3.6128072 0.876117754 2
#> 365 1 1 1 1 0.5182931 1.287162009 2
#> 366 1 1 1 1 1.1705358 1.281071045 2
#> 367 1 1 1 1 1.5981574 0.407632344 1
#> 368 1 1 2 0 1.9666063 0.382735741 1
#> 369 1 1 1 1 2.4959571 0.190228722 1
#> 370 1 1 1 1 1.1947298 2.077706526 3
#> 371 1 1 1 1 2.3331927 0.506424798 1
#> 372 1 1 1 1 1.3118157 0.995016677 2
#> 373 1 1 1 1 3.1010851 0.410206455 1
#> 374 1 1 1 1 2.9312504 0.346878033 1
#> 375 1 1 1 1 2.0168563 1.604824259 3
#> 376 1 1 1 1 1.4793738 0.769310917 1
#> 377 1 1 1 1 2.3424781 0.108161849 1
#> 378 1 1 1 1 1.3186504 0.248081220 1
#> 379 1 1 1 1 2.0620248 0.364008438 1
#> 380 1 1 1 1 2.2037479 0.391978066 1
#> 381 1 1 2 0 1.4435446 0.002264031 1
#> 382 1 1 1 1 1.4623751 0.670929912 1
#> 383 1 1 1 1 2.2908758 0.867253029 2
#> 384 1 1 1 1 2.1060972 0.098644898 1
#> 385 1 1 1 1 3.6555732 0.046864594 1
#> 386 1 1 1 1 0.8940750 1.830151738 3
#> 387 1 1 1 1 1.8541882 0.796612566 1
#> 388 1 1 1 1 1.8469291 0.578476981 1
#> 389 1 1 1 1 1.0000209 1.257412881 2
#> 390 1 1 1 1 4.1566908 0.756704170 1
#> 391 1 1 1 1 0.9649102 0.920504216 2
#> 392 1 1 1 1 1.5922668 0.795728925 1
#> 393 1 1 2 0 2.9947999 0.141036570 1
#> 394 1 1 1 1 2.8308523 0.467254979 1
#> 395 1 1 2 0 2.2538719 0.086587459 1
#> 396 1 1 2 0 1.5607002 0.465989119 1
#> 397 1 1 1 1 2.1520852 0.388057071 1
#> 398 1 1 1 1 1.4969807 1.883813775 3
#> 399 1 1 2 0 1.5061227 0.687365190 1
#> 400 1 1 2 0 1.4473263 0.061000378 1
#> 401 2 1 1 1 0.9768136 2.137974306 3
#> 402 2 1 1 1 0.7689021 0.807572798 2
#> 403 2 1 1 1 1.1857659 0.471135013 1
#> 404 2 1 1 1 0.8616864 1.802980033 3
#> 405 2 1 1 1 0.5247558 1.170378875 2
#> 406 2 1 1 1 0.8921978 2.430891183 3
#> 407 2 1 2 0 1.1950417 0.032165381 1
#> 408 2 1 1 1 0.8937708 1.263671161 2
#> 409 2 1 1 1 1.1303132 0.981483318 2
#> 410 2 1 1 1 0.8073860 0.999873187 2
#> 411 2 1 1 1 1.2520718 0.783939991 1
#> 412 2 1 1 1 0.7479088 2.520423267 3
#> 413 2 1 1 1 0.4621499 1.216837294 2
#> 414 2 1 1 1 0.6709559 1.244500665 2
#> 415 2 1 1 1 1.4290761 0.970194705 2
#> 416 2 1 1 1 1.3883663 0.783355561 1
#> 417 2 1 1 1 2.1072429 0.665836030 1
#> 418 2 1 1 1 0.3980308 1.852632391 3
#> 419 2 1 1 1 1.6825669 0.574679729 1
#> 420 2 1 1 1 0.9184209 1.487837980 2
#> 421 2 1 1 1 1.1680105 1.005066378 2
#> 422 2 1 1 1 1.7126387 0.489671677 1
#> 423 2 1 1 1 1.1653484 0.914368135 2
#> 424 2 1 1 1 1.1159928 1.676979323 3
#> 425 2 1 1 1 0.3352651 2.651182744 3
#> 426 2 1 1 1 0.5438954 1.787506698 3
#> 427 2 1 1 1 1.1390702 0.891632988 2
#> 428 2 1 1 1 0.8211927 2.174928842 3
#> 429 2 1 1 1 0.7366079 2.205933218 3
#> 430 2 1 1 1 0.5121934 1.433922055 2
#> 431 2 1 1 1 0.8767225 0.637859545 1
#> 432 2 1 1 1 0.9563680 0.165187196 1
#> 433 2 1 1 1 0.8062501 0.889606150 2
#> 434 2 1 1 1 0.7188232 1.238629147 2
#> 435 2 1 1 1 0.7683352 1.423308433 2
#> 436 2 1 1 1 0.8553350 1.051895848 2
#> 437 2 1 1 1 0.7972885 1.154806479 2
#> 438 2 1 1 1 2.8793088 1.200154776 2
#> 439 2 1 1 1 0.4221754 2.413562187 3
#> 440 2 1 1 1 0.8371599 1.668663670 3
#> 441 2 1 1 1 1.3730416 1.204039408 2
#> 442 2 1 1 1 1.1573383 0.023516954 1
#> 443 2 1 1 1 0.6318312 1.979151023 3
#> 444 2 1 2 0 1.1547423 0.764357819 1
#> 445 2 1 2 0 1.7361670 0.228314371 1
#> 446 2 1 1 1 0.9805679 1.083586429 2
#> 447 2 1 1 1 1.1399148 1.321908963 2
#> 448 2 1 1 1 1.5902957 0.887876352 2
#> 449 2 1 1 1 0.5910227 1.394996057 2
#> 450 2 1 1 1 1.1400000 0.407814683 1
#> 451 2 1 1 1 0.6002349 1.997527143 3
#> 452 2 1 1 1 0.8078671 0.881890277 2
#> 453 2 1 1 1 1.0230670 1.284709695 2
#> 454 2 1 2 0 1.2923822 0.109782819 1
#> 455 2 1 1 1 0.5589811 1.787516889 3
#> 456 2 1 1 1 1.2749980 1.147844693 2
#> 457 2 1 1 1 0.6438528 2.122891960 3
#> 458 2 1 1 1 1.0467809 1.957067015 3
#> 459 2 1 1 1 1.1852470 0.408798263 1
#> 460 2 1 1 1 0.6146521 0.811391759 2
#> 461 2 1 1 1 1.2963726 0.699606113 1
#> 462 2 1 1 1 0.5840093 1.348889684 2
#> 463 2 1 1 1 3.8727620 0.312847370 1
#> 464 2 1 1 1 0.3665839 1.846304147 3
#> 465 2 1 1 1 0.7938028 0.355852828 1
#> 466 2 1 1 1 0.7668270 1.384325565 2
#> 467 2 1 1 1 1.8118973 0.798415750 1
#> 468 2 1 1 1 0.5442785 1.583285789 3
#> 469 2 1 1 1 2.5828589 1.174853373 2
#> 470 2 1 1 1 1.7071290 1.070299910 2
#> 471 2 1 1 1 1.1848461 0.821761978 2
#> 472 2 1 1 1 1.3349727 1.351179483 2
#> 473 2 1 1 1 0.7677292 2.188393766 3
#> 474 2 1 1 1 0.8217389 0.844583780 2
#> 475 2 1 1 1 0.7635719 1.634230279 3
#> 476 2 1 2 0 1.5090402 0.063380650 1
#> 477 2 1 1 1 0.9677716 1.535306580 3
#> 478 2 1 1 1 1.1834706 0.457492703 1
#> 479 2 1 1 1 1.4352891 1.133764631 2
#> 480 2 1 1 1 0.7013969 0.970618586 2
#> 481 2 1 2 0 3.7250030 0.052115070 1
#> 482 2 1 1 1 0.4470268 2.389767595 3
#> 483 2 1 1 1 0.7016718 1.346952280 2
#> 484 2 1 1 1 4.5706564 0.080900371 1
#> 485 2 1 2 0 1.3507828 0.192532332 1
#> 486 2 1 1 1 1.7715009 0.266123858 1
#> 487 2 1 1 1 2.0057633 0.586964175 1
#> 488 2 1 1 1 0.9017442 1.225061479 2
#> 489 2 1 1 1 1.2924613 1.823706382 3
#> 490 2 1 1 1 1.6027499 1.483400522 2
#> 491 2 1 1 1 2.5145083 0.878620469 2
#> 492 2 1 1 1 0.9286097 0.922658633 2
#> 493 2 1 2 0 1.1196016 0.156528963 1
#> 494 2 1 1 1 0.7082713 0.969855195 2
#> 495 2 1 1 1 1.5353549 0.402108257 1
#> 496 2 1 1 1 1.6486212 0.767215473 1
#> 497 2 1 1 1 1.1316218 0.735901538 1
#> 498 2 1 1 1 1.1964670 0.446359147 1
#> 499 2 1 1 1 1.3017437 1.306152992 2
#> 500 2 1 1 1 1.8602089 0.910871021 2
#> 501 2 1 1 1 1.7287825 0.465378411 1
#> 502 2 1 1 1 2.1086235 0.322202543 1
#> 503 2 1 1 1 1.1310403 0.732672088 1
#> 504 2 1 1 1 0.4749590 2.336727467 3
#> 505 2 1 1 1 0.6502669 1.764555555 3
#> 506 2 1 2 0 2.5547106 0.038405284 1
#> 507 2 1 2 0 3.4806296 0.063152965 1
#> 508 2 1 1 1 3.2612652 0.256463286 1
#> 509 2 1 1 1 0.9981078 0.855027983 2
#> 510 2 1 1 1 1.3203509 0.699628402 1
#> 511 2 1 2 0 1.2110692 1.362920881 2
#> 512 2 1 2 0 2.0642265 0.136098802 1
#> 513 2 1 1 1 0.8130099 1.096262519 2
#> 514 2 1 2 0 1.1647125 0.407722961 1
#> 515 2 1 1 1 1.9582238 1.157950342 2
#> 516 2 1 1 1 0.5709225 1.970126021 3
#> 517 2 1 1 1 1.8316421 0.361201632 1
#> 518 2 1 1 1 0.5537119 2.250720096 3
#> 519 2 1 1 1 1.2619571 1.196441767 2
#> 520 2 1 1 1 0.5770648 1.667814665 3
#> 521 2 1 1 1 0.7115721 1.380678669 2
#> 522 2 1 1 1 0.3402579 1.945891956 3
#> 523 2 1 1 1 0.6351188 1.701151447 3
#> 524 2 1 1 1 0.5918506 1.324261899 2
#> 525 2 1 1 1 0.7945579 1.225980549 2
#> 526 2 1 1 1 0.7836346 2.171346862 3
#> 527 2 1 1 1 1.4643817 0.100611461 1
#> 528 2 1 1 1 0.8430395 1.306989558 2
#> 529 2 1 1 1 0.9226148 0.549173830 1
#> 530 2 1 1 1 3.1283967 0.894169036 2
#> 531 2 1 1 1 0.6830599 1.446429230 2
#> 532 2 1 1 1 0.8631907 1.024369940 2
#> 533 2 1 1 1 1.9645901 0.743829169 1
#> 534 2 1 1 1 1.3491098 1.006647826 2
#> 535 2 1 1 1 0.4760751 1.209216598 2
#> 536 2 1 1 1 1.4287473 1.263830113 2
#> 537 2 1 1 1 1.2679377 2.037183925 3
#> 538 2 1 1 1 1.1833271 1.353302781 2
#> 539 2 1 1 1 3.8564552 1.471008413 2
#> 540 2 1 1 1 0.5564084 1.551028475 3
#> 541 2 1 1 1 0.7850285 1.075948703 2
#> 542 2 1 1 1 1.2617034 1.173351324 2
#> 543 2 1 1 1 1.4535275 1.163064793 2
#> 544 2 1 1 1 0.6929973 1.031355231 2
#> 545 2 1 1 1 0.7221454 0.641062038 1
#> 546 2 1 1 1 2.0237771 0.418259567 1
#> 547 2 1 1 1 1.0534996 0.508841634 1
#> 548 2 1 1 1 0.9418410 1.047118595 2
#> 549 2 1 1 1 1.1070404 1.448505679 2
#> 550 2 1 1 1 0.2820714 3.118192811 3
#> 551 2 1 1 1 0.7875281 0.734177139 1
#> 552 2 1 1 1 1.3028695 0.128672333 1
#> 553 2 1 1 1 1.0081963 0.918715340 2
#> 554 2 1 1 1 0.9621338 0.867099258 2
#> 555 2 1 1 1 0.4961036 1.860397226 3
#> 556 2 1 1 1 0.9205531 1.365637614 2
#> 557 2 1 1 1 1.2132460 0.950632135 2
#> 558 2 1 1 1 1.2948578 0.355633810 1
#> 559 2 1 1 1 1.5961055 0.234225640 1
#> 560 2 1 1 1 0.7290762 0.905909495 2
#> 561 2 1 1 1 0.8029315 1.860224019 3
#> 562 2 1 1 1 0.7192624 1.585563568 3
#> 563 2 1 1 1 1.0009909 2.113962195 3
#> 564 2 1 1 1 0.9306480 1.337105975 2
#> 565 2 1 1 1 0.7034431 0.901347983 2
#> 566 2 1 1 1 0.9702768 0.808310964 2
#> 567 2 1 1 1 1.0483843 1.671854530 3
#> 568 2 1 1 1 2.8012154 1.006609461 2
#> 569 2 1 1 1 0.9223385 0.949835796 2
#> 570 2 1 2 0 1.8234037 0.203701532 1
#> 571 2 1 1 1 0.7696628 1.081853195 2
#> 572 2 1 1 1 1.2458833 2.567603582 3
#> 573 2 1 1 1 0.6522165 0.327442120 1
#> 574 2 1 1 1 1.1055560 0.388064424 1
#> 575 2 1 1 1 2.1316688 0.880310154 2
#> 576 2 1 1 1 0.9321023 0.048209101 1
#> 577 2 1 1 1 0.7621237 0.013963093 1
#> 578 2 1 1 1 0.6213141 1.500006992 3
#> 579 2 1 1 1 0.6784802 1.839418568 3
#> 580 2 1 1 1 0.9601804 1.775704186 3
#> 581 2 1 1 1 1.2602502 0.679161878 1
#> 582 2 1 1 1 0.4560493 1.223737785 2
#> 583 2 1 1 1 0.8663117 1.828631283 3
#> 584 2 1 1 1 1.6103173 0.506463801 1
#> 585 2 1 1 1 0.6321674 1.661057690 3
#> 586 2 1 1 1 0.9954118 0.598194179 1
#> 587 2 1 1 1 1.7552570 1.655342648 3
#> 588 2 1 1 1 0.9727598 0.625284110 1
#> 589 2 1 1 1 0.9818291 0.967920670 2
#> 590 2 1 1 1 1.2404613 0.712817192 1
#> 591 2 1 1 1 1.7172673 0.878760455 2
#> 592 2 1 1 1 1.9028670 0.179957556 1
#> 593 2 1 1 1 2.1239631 1.380145039 2
#> 594 2 1 1 1 1.0686879 1.797586469 3
#> 595 2 1 1 1 0.7954518 0.673645104 1
#> 596 2 1 1 1 0.7768396 1.584299949 3
#> 597 2 1 1 1 0.6200117 2.688198349 3
#> 598 2 1 1 1 0.6020282 0.373609738 1
#> 599 2 1 1 1 0.6206258 1.957585338 3
#> 600 2 1 1 1 2.1933215 1.588541137 3
#> 601 2 1 1 1 0.5644699 1.716360700 3
#> 602 2 1 1 1 0.8397807 2.032791602 3
#> 603 2 1 1 1 0.7645445 0.448566841 1
#> 604 2 1 1 1 1.0947182 1.158399315 2
#> 605 2 1 1 1 3.6202256 0.936890457 2
#> 606 2 1 1 1 1.0853295 1.359262191 2
#> 607 2 1 1 1 1.7700639 0.793864575 1
#> 608 2 1 1 1 1.0114573 1.032019570 2
#> 609 2 1 1 1 1.0374333 1.337377404 2
#> 610 2 1 1 1 1.0778655 1.637598622 3
#> 611 2 1 1 1 1.2453304 2.057596497 3
#> 612 2 1 1 1 2.3889616 0.433838539 1
#> 613 2 1 1 1 1.0706546 1.697102236 3
#> 614 2 1 2 0 0.6279529 0.846872266 2
#> 615 2 1 1 1 0.4241701 1.576659550 3
#> 616 2 1 1 1 0.8915357 1.642109372 3
#> 617 2 1 2 0 0.6500027 0.755351567 1
#> 618 2 1 1 1 1.4210355 0.975412029 2
#> 619 2 1 1 1 0.8002098 1.936159163 3
#> 620 2 1 1 1 1.2184795 1.321375202 2
#> 621 2 1 1 1 1.0881169 1.643801948 3
#> 622 2 1 1 1 0.6647563 0.498367654 1
#> 623 2 1 1 1 1.2218453 0.672250276 1
#> 624 2 1 2 0 1.6279992 0.156201998 1
#> 625 2 1 1 1 0.8488294 1.914572583 3
#> 626 2 1 2 0 3.0033156 0.613987785 1
#> 627 2 1 1 1 1.7554892 0.814214953 2
#> 628 2 1 1 1 0.8011062 1.192883396 2
#> 629 2 1 1 1 0.9177229 1.090535470 2
#> 630 2 1 1 1 1.1455767 1.396253866 2
#> 631 2 1 1 1 1.0866573 0.914284813 2
#> 632 2 1 1 1 0.7941967 1.478605383 2
#> 633 2 1 1 1 1.0413912 0.867188665 2
#> 634 2 1 1 1 2.2723894 0.305465832 1
#> 635 2 1 1 1 1.1976912 0.761929350 1
#> 636 2 1 1 1 1.3502495 1.648584557 3
#> 637 2 1 1 1 0.7818078 1.377119682 2
#> 638 2 1 1 1 1.4154693 0.076426465 1
#> 639 2 1 1 1 1.6730715 0.490703887 1
#> 640 2 1 1 1 1.1606973 1.491693911 2
#> 641 2 1 1 1 1.7671283 1.020613714 2
#> 642 2 1 1 1 4.1141013 0.074414486 1
#> 643 2 1 2 0 1.6358110 0.049505801 1
#> 644 2 1 2 0 2.9505867 0.131952015 1
#> 645 2 1 1 1 2.0584268 1.065726906 2
#> 646 2 1 1 1 0.6458083 1.534044075 3
#> 647 2 1 1 1 2.0455077 0.385569105 1
#> 648 2 1 1 1 1.0181299 1.063682316 2
#> 649 2 1 1 1 1.0699389 0.336976566 1
#> 650 2 1 1 1 0.8450239 1.125347819 2
#> 651 2 1 1 1 1.0381061 0.963576895 2
#> 652 2 1 1 1 1.5147487 1.191605139 2
#> 653 2 1 1 1 0.9267088 1.630745962 3
#> 654 2 1 1 1 1.6862041 0.589358209 1
#> 655 2 1 1 1 1.5293297 0.379033249 1
#> 656 2 1 1 1 0.9302906 1.023553940 2
#> 657 2 1 1 1 0.3292890 2.251079386 3
#> 658 2 1 1 1 1.0006455 1.648387092 3
#> 659 2 1 1 1 0.6148290 0.726608271 1
#> 660 2 1 2 0 1.3052422 0.050237555 1
#> 661 2 1 1 1 1.2787286 0.929828641 2
#> 662 2 1 1 1 1.5797219 0.671308672 1
#> 663 2 1 1 1 2.0946458 1.484850782 2
#> 664 2 1 1 1 0.7357228 0.488497673 1
#> 665 2 1 1 1 0.4823371 1.519869731 3
#> 666 2 1 1 1 1.0379942 0.641086448 1
#> 667 2 1 1 1 0.8714157 0.568610650 1
#> 668 2 1 1 1 1.7443040 0.337278058 1
#> 669 2 1 1 1 1.9207632 0.345973516 1
#> 670 2 1 2 0 1.4293879 0.268878393 1
#> 671 2 1 1 1 0.6869071 0.704878036 1
#> 672 2 1 1 1 1.8941529 0.024231123 1
#> 673 2 1 1 1 1.9081117 0.291468604 1
#> 674 2 1 1 1 0.7315404 1.856744624 3
#> 675 2 1 2 0 1.5956443 0.335061996 1
#> 676 2 1 1 1 0.9133770 2.749697625 3
#> 677 2 1 1 1 1.0615546 1.238331270 2
#> 678 2 1 1 1 1.2317482 0.900802675 2
#> 679 2 1 1 1 1.0670890 1.787723277 3
#> 680 2 1 1 1 1.0538293 2.013164696 3
#> 681 2 1 1 1 0.8521933 1.359407107 2
#> 682 2 1 2 0 1.6486921 0.246261607 1
#> 683 2 1 1 1 1.7868856 0.779749974 1
#> 684 2 1 1 1 0.4118525 2.132234182 3
#> 685 2 1 1 1 2.6616369 0.184381166 1
#> 686 2 1 1 1 1.4354895 0.187203071 1
#> 687 2 1 1 1 1.2058703 0.798558264 1
#> 688 2 1 1 1 1.0834370 1.504514769 3
#> 689 2 1 2 0 1.2155954 0.450954805 1
#> 690 2 1 1 1 0.4823163 3.005422409 3
#> 691 2 1 1 1 0.4981396 2.067194397 3
#> 692 2 1 1 1 0.4664614 1.488425621 2
#> 693 2 1 1 1 1.0606222 0.686491911 1
#> 694 2 1 1 1 0.5222966 2.309018945 3
#> 695 2 1 1 1 1.9784849 0.893366853 2
#> 696 2 1 1 1 1.4891598 0.091033964 1
#> 697 2 1 1 1 2.5933583 0.130929128 1
#> 698 2 1 1 1 0.9015608 1.614746514 3
#> 699 2 1 1 1 1.4510277 1.155488789 2
#> 700 2 1 1 1 1.1590952 0.671738068 1
#> 701 2 1 1 1 0.4197243 0.942626385 2
#> 702 2 1 1 1 0.3833799 2.237019684 3
#> 703 2 1 1 1 0.8812505 0.991607420 2
#> 704 2 1 1 1 0.6113553 0.369588940 1
#> 705 2 1 1 1 0.9726940 1.045420716 2
#> 706 2 1 1 1 0.6213174 2.632094866 3
#> 707 2 1 1 1 0.4234496 1.764907956 3
#> 708 2 1 1 1 2.0201853 1.040950221 2
#> 709 2 1 1 1 0.6810554 1.260846722 2
#> 710 2 1 1 1 0.4355233 2.529704354 3
#> 711 2 1 1 1 0.8864104 0.481827382 1
#> 712 2 1 1 1 1.7524839 0.469546650 1
#> 713 2 1 1 1 0.4975020 1.581168172 3
#> 714 2 1 1 1 0.9170987 2.087499111 3
#> 715 2 1 1 1 0.6749642 1.866215060 3
#> 716 2 1 2 0 1.0223321 0.066552891 1
#> 717 2 1 1 1 1.1927782 1.702164253 3
#> 718 2 1 1 1 0.8626952 1.768523717 3
#> 719 2 1 1 1 1.3536443 1.326646132 2
#> 720 2 1 1 1 1.9262354 0.407470076 1
#> 721 2 1 2 0 1.3607531 0.778850120 1
#> 722 2 1 1 1 2.2750878 1.182535962 2
#> 723 2 1 1 1 0.8243333 0.006191140 1
#> 724 2 1 1 1 0.9842183 1.345587306 2
#> 725 2 1 1 1 0.7049728 0.287143364 1
#> 726 2 1 1 1 0.6397107 0.767370652 1
#> 727 2 1 1 1 1.3207043 1.252175499 2
#> 728 2 1 1 1 0.8642558 0.892699936 2
#> 729 2 1 2 0 0.8155210 0.367249124 1
#> 730 2 1 1 1 0.8551839 1.530112750 3
#> 731 2 1 2 0 1.2065943 0.140858283 1
#> 732 2 1 1 1 0.7824826 1.804314894 3
#> 733 2 1 2 0 1.7010140 0.246969669 1
#> 734 2 1 1 1 1.1810305 0.634163442 1
#> 735 2 1 1 1 0.5769430 1.281566617 2
#> 736 2 1 1 1 0.7168224 1.676497229 3
#> 737 2 1 2 0 2.7410385 0.061332566 1
#> 738 2 1 1 1 0.4256006 2.893316536 3
#> 739 2 1 1 1 0.9161168 0.291745646 1
#> 740 2 1 1 1 0.7624971 1.794630429 3
#> 741 2 1 2 0 1.3735156 0.730852317 1
#> 742 2 1 1 1 0.9952951 1.123157352 2
#> 743 2 1 1 1 1.4746945 0.796907708 1
#> 744 2 1 1 1 1.0766235 1.740373463 3
#> 745 2 1 1 1 0.4165279 2.143290602 3
#> 746 2 1 1 1 0.6557679 1.342351101 2
#> 747 2 1 1 1 1.3979997 0.801675334 2
#> 748 2 1 1 1 1.0960714 1.072911445 2
#> 749 2 1 1 1 4.5930090 0.468880101 1
#> 750 2 1 1 1 1.3573922 0.893290602 2
#> 751 2 1 2 0 0.7829652 0.371603008 1
#> 752 2 1 1 1 0.8256626 0.834766858 2
#> 753 2 1 1 1 0.9590145 1.215460735 2
#> 754 2 1 1 1 1.0028148 0.133107343 1
#> 755 2 1 1 1 0.9613025 0.880987104 2
#> 756 2 1 2 0 3.0641441 0.301434842 1
#> 757 2 1 1 1 0.8665680 1.614099734 3
#> 758 2 1 1 1 0.9063244 1.870427226 3
#> 759 2 1 1 1 1.2545437 1.129777735 2
#> 760 2 1 1 1 2.1876715 0.264137297 1
#> 761 2 1 1 1 0.7002765 1.241501655 2
#> 762 2 1 2 0 1.1100434 0.144358844 1
#> 763 2 1 1 1 1.2214713 1.821111011 3
#> 764 2 1 1 1 1.4461745 0.902823574 2
#> 765 2 1 1 1 1.5071588 2.125220777 3
#> 766 2 1 1 1 2.3595978 0.459270892 1
#> 767 2 1 1 1 2.1948628 0.610239891 1
#> 768 2 1 1 1 2.3840763 0.974374655 2
#> 769 2 1 2 0 1.1634341 0.088598596 1
#> 770 2 1 2 0 1.1271240 1.004549872 2
#> 771 2 1 1 1 1.2553936 1.122803590 2
#> 772 2 1 1 1 1.7293006 0.550018168 1
#> 773 2 1 1 1 1.2797135 0.566884916 1
#> 774 2 1 1 1 1.1248532 1.917796489 3
#> 775 2 1 1 1 1.8044718 1.547151231 3
#> 776 2 1 1 1 0.6855131 1.646848051 3
#> 777 2 1 1 1 1.4293364 0.829169495 2
#> 778 2 1 1 1 0.9570424 0.672437599 1
#> 779 2 1 1 1 2.9367098 0.770617764 1
#> 780 2 1 1 1 1.7725819 1.424008253 2
#> 781 2 1 1 1 1.0856976 0.414307034 1
#> 782 2 1 1 1 1.4210724 0.916807228 2
#> 783 2 1 1 1 1.4519120 0.963406919 2
#> 784 2 1 1 1 1.8272966 0.117105372 1
#> 785 2 1 1 1 0.5300526 1.724242723 3
#> 786 2 1 1 1 1.2381707 0.898494208 2
#> 787 2 1 2 0 1.8606577 0.281921582 1
#> 788 2 1 1 1 1.1139902 0.466592130 1
#> 789 2 1 1 1 2.8623398 0.524001917 1
#> 790 2 1 1 1 0.7185155 1.789891751 3
#> 791 2 1 1 1 0.6921921 0.097608238 1
#> 792 2 1 2 0 1.3875901 0.097059886 1
#> 793 2 1 1 1 1.9119840 0.975882281 2
#> 794 2 1 1 1 0.6692768 2.280621990 3
#> 795 2 1 1 1 0.4455238 1.039541478 2
#> 796 2 1 2 0 1.4876109 0.010775321 1
#> 797 2 1 1 1 1.0553071 1.589167942 3
#> 798 2 1 1 1 1.8285017 0.649404186 1
#> 799 2 1 1 1 0.7540430 0.598746370 1
#> 800 2 1 1 1 1.3676476 0.258989673 1
#> 801 1 2 1 0 2.7458781 0.158839168 1
#> 802 1 2 2 1 2.6752083 0.078155713 1
#> 803 1 2 1 0 4.8723804 0.742390886 1
#> 804 1 2 2 1 5.6734007 0.426560290 1
#> 805 1 2 1 0 1.7316751 0.735425063 1
#> 806 1 2 2 1 2.0275341 0.403564695 1
#> 807 1 2 2 1 2.4850856 0.363081073 1
#> 808 1 2 2 1 3.1975335 0.367855609 1
#> 809 1 2 2 1 0.8136134 1.644600520 3
#> 810 1 2 1 0 0.9941223 0.566680219 1
#> 811 1 2 2 1 0.6567696 1.665501370 3
#> 812 1 2 1 0 1.5895686 0.055802984 1
#> 813 1 2 2 1 2.2195052 0.707347467 1
#> 814 1 2 2 1 1.7928505 0.607316187 1
#> 815 1 2 2 1 1.2625630 1.078740702 2
#> 816 1 2 1 0 2.8341544 0.044323908 1
#> 817 1 2 2 1 2.1050190 1.384833252 2
#> 818 1 2 2 1 0.9281862 0.174261817 1
#> 819 1 2 2 1 3.2943611 0.023656302 1
#> 820 1 2 2 1 0.9685080 2.291602932 3
#> 821 1 2 2 1 1.3483715 0.333710644 1
#> 822 1 2 1 0 2.3335008 0.067637939 1
#> 823 1 2 2 1 2.4134446 0.323185248 1
#> 824 1 2 2 1 0.9004973 1.949830112 3
#> 825 1 2 2 1 1.3309571 0.422560351 1
#> 826 1 2 1 0 1.6793210 0.012494329 1
#> 827 1 2 2 1 2.1895261 0.605031803 1
#> 828 1 2 2 1 0.9343545 1.052641557 2
#> 829 1 2 1 0 0.9958830 0.410264126 1
#> 830 1 2 2 1 2.1165757 0.227766375 1
#> 831 1 2 2 1 0.9434875 1.109962977 2
#> 832 1 2 1 0 1.7575762 0.343408166 1
#> 833 1 2 2 1 1.4358346 1.039776090 2
#> 834 1 2 2 1 1.5769478 0.625873078 1
#> 835 1 2 2 1 1.6238681 0.412745357 1
#> 836 1 2 1 0 1.3491149 0.007406806 1
#> 837 1 2 2 1 1.5463711 1.957582127 3
#> 838 1 2 2 1 1.7304682 1.275473444 2
#> 839 1 2 2 1 2.2831089 0.048421198 1
#> 840 1 2 1 0 1.7853554 0.201546921 1
#> 841 1 2 2 1 1.1035480 0.433163668 1
#> 842 1 2 2 1 2.5282997 0.365318732 1
#> 843 1 2 2 1 1.7567600 1.579263237 3
#> 844 1 2 1 0 3.4738520 0.254706344 1
#> 845 1 2 2 1 1.5388934 0.312907601 1
#> 846 1 2 2 1 1.4506227 0.521875149 1
#> 847 1 2 2 1 0.7773403 0.718214661 1
#> 848 1 2 1 0 1.0993609 0.460277298 1
#> 849 1 2 2 1 1.9781669 0.578658210 1
#> 850 1 2 1 0 1.1251749 0.197540515 1
#> 851 1 2 2 1 1.7039393 1.132854187 2
#> 852 1 2 1 0 2.8194175 0.624428607 1
#> 853 1 2 2 1 1.0560877 1.918188882 3
#> 854 1 2 2 1 1.0494027 0.300313753 1
#> 855 1 2 2 1 1.3358982 0.719459305 1
#> 856 1 2 2 1 2.0165183 0.160748870 1
#> 857 1 2 2 1 1.7194221 0.283485491 1
#> 858 1 2 2 1 2.0114035 0.431588928 1
#> 859 1 2 2 1 0.9286617 0.462815917 1
#> 860 1 2 1 0 2.2150757 0.170428106 1
#> 861 1 2 2 1 1.2006152 1.073834526 2
#> 862 1 2 2 1 0.8479911 1.015438253 2
#> 863 1 2 2 1 1.0690190 0.483687685 1
#> 864 1 2 2 1 1.1104527 1.516305620 3
#> 865 1 2 1 0 1.3979814 1.240743404 2
#> 866 1 2 2 1 1.3064652 1.088147213 2
#> 867 1 2 2 1 1.8287744 0.994481534 2
#> 868 1 2 2 1 0.9463881 1.007756048 2
#> 869 1 2 1 0 0.9130064 0.687672385 1
#> 870 1 2 2 1 0.6845140 0.734608278 1
#> 871 1 2 2 1 1.0571883 1.102166014 2
#> 872 1 2 2 1 1.3853282 0.677501949 1
#> 873 1 2 2 1 2.1608290 0.449607386 1
#> 874 1 2 2 1 3.3772106 0.127733896 1
#> 875 1 2 2 1 1.9962384 0.005627509 1
#> 876 1 2 2 1 1.9173478 0.099511141 1
#> 877 1 2 1 0 2.6820745 0.226553145 1
#> 878 1 2 2 1 1.4478251 1.220180342 2
#> 879 1 2 2 1 0.9811116 1.821401917 3
#> 880 1 2 2 1 1.9144719 0.788570948 1
#> 881 1 2 2 1 1.3396898 0.298347202 1
#> 882 1 2 2 1 1.2213200 1.103915468 2
#> 883 1 2 1 0 1.6305515 0.086486631 1
#> 884 1 2 2 1 1.4997912 0.468501073 1
#> 885 1 2 2 1 0.9527425 0.551533360 1
#> 886 1 2 2 1 1.4720276 0.490284348 1
#> 887 1 2 2 1 0.9264471 0.034707401 1
#> 888 1 2 2 1 1.4837388 1.079339288 2
#> 889 1 2 2 1 2.0782595 0.471809299 1
#> 890 1 2 2 1 1.5171211 0.028579359 1
#> 891 1 2 1 0 1.2674545 0.375095419 1
#> 892 1 2 2 1 1.7111698 0.646762818 1
#> 893 1 2 2 1 1.2723144 0.470940922 1
#> 894 1 2 2 1 1.5007213 0.680448862 1
#> 895 1 2 2 1 2.2599325 0.067593742 1
#> 896 1 2 2 1 0.9623593 0.973258156 2
#> 897 1 2 2 1 0.4171688 2.066487710 3
#> 898 1 2 1 0 1.1201243 0.091105097 1
#> 899 1 2 2 1 0.6457118 1.092246718 2
#> 900 1 2 2 1 0.8725483 1.296223478 2
#> 901 1 2 2 1 1.4654622 1.186989264 2
#> 902 1 2 2 1 4.5874365 0.895301742 2
#> 903 1 2 1 0 1.1407180 0.085931190 1
#> 904 1 2 2 1 2.2477287 1.030059355 2
#> 905 1 2 2 1 0.9154784 1.060891124 2
#> 906 1 2 2 1 1.0122864 1.174169187 2
#> 907 1 2 2 1 1.4753789 0.916272743 2
#> 908 1 2 2 1 1.1727676 0.099654592 1
#> 909 1 2 1 0 2.1289926 0.210412946 1
#> 910 1 2 1 0 1.6093845 0.022193900 1
#> 911 1 2 2 1 0.8969913 2.082432891 3
#> 912 1 2 2 1 4.1665763 0.167680076 1
#> 913 1 2 2 1 0.9416368 1.672490718 3
#> 914 1 2 1 0 1.3357577 0.279975187 1
#> 915 1 2 2 1 1.0537096 0.989537502 2
#> 916 1 2 2 1 1.1875914 0.411885729 1
#> 917 1 2 2 1 1.0539306 1.066904321 2
#> 918 1 2 2 1 1.3719517 1.515756134 3
#> 919 1 2 2 1 1.3730545 1.230014551 2
#> 920 1 2 2 1 2.2658309 0.110055176 1
#> 921 1 2 2 1 1.5104528 1.839936012 3
#> 922 1 2 2 1 2.9866000 0.032003462 1
#> 923 1 2 2 1 1.9151232 0.036160456 1
#> 924 1 2 2 1 1.1637887 2.040785131 3
#> 925 1 2 2 1 1.9300044 0.178809968 1
#> 926 1 2 2 1 3.2099332 0.087331043 1
#> 927 1 2 1 0 2.9472375 0.462994967 1
#> 928 1 2 2 1 1.8376260 0.707839620 1
#> 929 1 2 1 0 1.6242205 0.653864857 1
#> 930 1 2 1 0 1.8037015 0.125805952 1
#> 931 1 2 1 0 1.0707154 0.941416276 2
#> 932 1 2 2 1 2.4032158 0.052326321 1
#> 933 1 2 2 1 1.9702549 0.772609019 1
#> 934 1 2 2 1 1.0961054 0.643942132 1
#> 935 1 2 2 1 1.1569762 1.674399381 3
#> 936 1 2 1 0 2.2577090 0.474328357 1
#> 937 1 2 2 1 2.8366743 0.262649173 1
#> 938 1 2 1 0 2.5201335 0.527925956 1
#> 939 1 2 2 1 2.1265775 0.766061196 1
#> 940 1 2 2 1 1.9552119 0.993937137 2
#> 941 1 2 2 1 1.6567572 0.807044576 2
#> 942 1 2 1 0 1.7563317 0.102548099 1
#> 943 1 2 2 1 1.0413684 0.680288417 1
#> 944 1 2 1 0 1.3896650 0.787061425 1
#> 945 1 2 1 0 2.0343688 0.596404345 1
#> 946 1 2 1 0 2.7175951 0.651007324 1
#> 947 1 2 2 1 0.6720920 1.051787392 2
#> 948 1 2 2 1 1.2628076 0.609792697 1
#> 949 1 2 1 0 1.5323797 0.665624127 1
#> 950 1 2 2 1 0.8856493 1.531607092 3
#> 951 1 2 2 1 1.5847239 0.689436755 1
#> 952 1 2 1 0 1.2333479 0.301150402 1
#> 953 1 2 2 1 5.2177006 0.144310695 1
#> 954 1 2 2 1 5.8975347 0.077931313 1
#> 955 1 2 2 1 1.4926756 0.100495281 1
#> 956 1 2 2 1 2.1497337 0.604582679 1
#> 957 1 2 2 1 1.3710514 0.541456697 1
#> 958 1 2 2 1 2.1638324 0.815440378 2
#> 959 1 2 2 1 3.6127174 0.515877555 1
#> 960 1 2 2 1 1.0427251 1.001792713 2
#> 961 1 2 2 1 1.6556815 0.207242656 1
#> 962 1 2 2 1 4.0637193 0.021604752 1
#> 963 1 2 2 1 1.8002847 0.424416609 1
#> 964 1 2 2 1 0.9859502 2.165973367 3
#> 965 1 2 2 1 0.8838607 0.400006301 1
#> 966 1 2 2 1 1.8195461 0.759877491 1
#> 967 1 2 2 1 0.8292150 0.632308313 1
#> 968 1 2 2 1 2.7807873 0.087439910 1
#> 969 1 2 2 1 2.5188736 0.624647172 1
#> 970 1 2 2 1 1.0439510 0.483876461 1
#> 971 1 2 2 1 0.9834307 0.279476193 1
#> 972 1 2 2 1 1.4880949 0.869511278 2
#> 973 1 2 1 0 1.6456051 0.167546296 1
#> 974 1 2 2 1 1.1326150 0.814672643 2
#> 975 1 2 2 1 0.8745776 1.219432788 2
#> 976 1 2 2 1 1.1634649 1.192419802 2
#> 977 1 2 1 0 5.2918805 0.708451411 1
#> 978 1 2 2 1 2.1174252 1.587121601 3
#> 979 1 2 2 1 2.3698790 0.118584834 1
#> 980 1 2 1 0 0.8916850 1.321123523 2
#> 981 1 2 2 1 1.4238257 0.065402015 1
#> 982 1 2 2 1 1.6498918 0.440158021 1
#> 983 1 2 1 0 2.1666835 0.267614574 1
#> 984 1 2 2 1 0.6671432 1.218352214 2
#> 985 1 2 2 1 1.8518738 0.283483862 1
#> 986 1 2 2 1 0.8246281 1.192800421 2
#> 987 1 2 1 0 1.7036419 0.066167123 1
#> 988 1 2 2 1 2.1018580 0.777563191 1
#> 989 1 2 2 1 1.1996969 0.980517445 2
#> 990 1 2 2 1 1.1257461 1.158614602 2
#> 991 1 2 2 1 0.6977086 1.784948234 3
#> 992 1 2 2 1 1.0106536 0.952448718 2
#> 993 1 2 2 1 2.3632628 0.052888899 1
#> 994 1 2 2 1 1.1108589 1.675920833 3
#> 995 1 2 1 0 0.9721367 0.794744273 1
#> 996 1 2 2 1 2.0203416 0.084986899 1
#> 997 1 2 2 1 1.6217108 0.641152786 1
#> 998 1 2 2 1 1.7585981 0.859303859 2
#> 999 1 2 2 1 1.1492514 1.563249905 3
#> 1000 1 2 2 1 3.4008865 0.005112749 1
#> 1001 1 2 2 1 1.3597474 0.609331598 1
#> 1002 1 2 2 1 1.2343732 1.253271915 2
#> 1003 1 2 2 1 1.7060888 1.033110245 2
#> 1004 1 2 2 1 0.4667638 2.572983597 3
#> 1005 1 2 2 1 3.9145830 0.187517093 1
#> 1006 1 2 2 1 1.2494218 0.866631410 2
#> 1007 1 2 1 0 0.9732062 0.653244734 1
#> 1008 1 2 1 0 0.9045726 0.239530353 1
#> 1009 1 2 1 0 2.4921271 0.093606045 1
#> 1010 1 2 2 1 1.9314728 1.227924340 2
#> 1011 1 2 2 1 1.3666698 0.781217877 1
#> 1012 1 2 2 1 1.4458107 0.381785798 1
#> 1013 1 2 1 0 0.8183310 0.128155436 1
#> 1014 1 2 2 1 0.9248587 0.130353750 1
#> 1015 1 2 2 1 1.1868776 0.817560162 2
#> 1016 1 2 2 1 2.8407515 0.510081799 1
#> 1017 1 2 2 1 2.5734426 1.077595979 2
#> 1018 1 2 1 0 0.7042840 1.029104093 2
#> 1019 1 2 2 1 1.7767085 0.108202072 1
#> 1020 1 2 2 1 2.4199132 0.602888020 1
#> 1021 1 2 2 1 1.1965857 0.309624648 1
#> 1022 1 2 2 1 2.4122277 0.073939280 1
#> 1023 1 2 1 0 1.2032725 0.067692351 1
#> 1024 1 2 2 1 1.2708467 0.648953735 1
#> 1025 1 2 2 1 0.9549677 1.179935283 2
#> 1026 1 2 1 0 1.9001001 0.129771989 1
#> 1027 1 2 2 1 1.0168984 1.094335614 2
#> 1028 1 2 2 1 2.3349541 1.014157156 2
#> 1029 1 2 1 0 1.8129755 0.935297079 2
#> 1030 1 2 2 1 1.2595881 0.484598402 1
#> 1031 1 2 1 0 1.1098110 1.257315302 2
#> 1032 1 2 2 1 1.0941335 1.099910753 2
#> 1033 1 2 2 1 5.1032624 0.106628469 1
#> 1034 1 2 2 1 0.8446800 0.891335177 2
#> 1035 1 2 2 1 1.7729763 0.244596206 1
#> 1036 1 2 2 1 1.1041890 0.428108224 1
#> 1037 1 2 1 0 1.1338489 1.154335489 2
#> 1038 1 2 1 0 1.5349345 0.703188877 1
#> 1039 1 2 1 0 1.6118189 0.036548563 1
#> 1040 1 2 2 1 1.2717933 1.827600105 3
#> 1041 1 2 1 0 2.4342052 0.102905469 1
#> 1042 1 2 2 1 2.3143358 1.018430595 2
#> 1043 1 2 1 0 2.5865331 0.191873309 1
#> 1044 1 2 2 1 1.1355432 0.515638294 1
#> 1045 1 2 1 0 1.3631597 0.452422428 1
#> 1046 1 2 2 1 1.2042584 1.722672853 3
#> 1047 1 2 1 0 2.7004801 0.482290320 1
#> 1048 1 2 2 1 2.2740283 0.674957570 1
#> 1049 1 2 2 1 1.8596794 0.785058133 1
#> 1050 1 2 2 1 2.4973393 0.316139418 1
#> 1051 1 2 1 0 1.0654516 0.111617805 1
#> 1052 1 2 1 0 1.2185005 0.847266797 2
#> 1053 1 2 1 0 1.2819952 0.279909261 1
#> 1054 1 2 2 1 1.2049222 1.351823952 2
#> 1055 1 2 2 1 1.1634982 1.191233109 2
#> 1056 1 2 2 1 0.5468182 3.436413082 3
#> 1057 1 2 2 1 1.3051736 0.696170836 1
#> 1058 1 2 2 1 2.1177123 1.442086587 2
#> 1059 1 2 2 1 1.2246716 0.149306673 1
#> 1060 1 2 1 0 2.9966480 0.093363336 1
#> 1061 1 2 2 1 2.4448486 0.419853314 1
#> 1062 1 2 2 1 2.8637207 0.098847363 1
#> 1063 1 2 2 1 1.3652861 0.455181823 1
#> 1064 1 2 1 0 1.6462380 0.645300268 1
#> 1065 1 2 1 0 1.6146144 0.309613898 1
#> 1066 1 2 2 1 2.8037668 0.861968467 2
#> 1067 1 2 2 1 1.7872653 1.802660435 3
#> 1068 1 2 2 1 3.3663406 0.433981222 1
#> 1069 1 2 2 1 1.0033315 1.164544645 2
#> 1070 1 2 1 0 1.0520560 0.225909022 1
#> 1071 1 2 2 1 1.6241903 0.880537172 2
#> 1072 1 2 1 0 1.7347936 0.289770938 1
#> 1073 1 2 1 0 1.2525199 0.479682481 1
#> 1074 1 2 1 0 5.6477177 0.068331595 1
#> 1075 1 2 2 1 1.3268718 0.434274419 1
#> 1076 1 2 2 1 0.9262892 1.589751968 3
#> 1077 1 2 2 1 1.9236505 0.674510310 1
#> 1078 1 2 2 1 1.8940988 0.282867209 1
#> 1079 1 2 2 1 2.9511844 0.424518350 1
#> 1080 1 2 1 0 2.2985986 0.141186523 1
#> 1081 1 2 1 0 2.3457791 0.414077464 1
#> 1082 1 2 2 1 1.2401729 1.230764183 2
#> 1083 1 2 2 1 1.1389244 0.890010410 2
#> 1084 1 2 2 1 1.0751300 0.933942912 2
#> 1085 1 2 2 1 1.8686976 0.712721438 1
#> 1086 1 2 2 1 0.9673311 1.197420005 2
#> 1087 1 2 1 0 1.5217289 0.051429517 1
#> 1088 1 2 2 1 0.7253988 1.763684223 3
#> 1089 1 2 2 1 3.0330161 0.137848420 1
#> 1090 1 2 2 1 1.0263784 0.417741760 1
#> 1091 1 2 2 1 1.6409225 0.596407705 1
#> 1092 1 2 2 1 1.3698604 0.396761638 1
#> 1093 1 2 1 0 1.6705749 0.063487967 1
#> 1094 1 2 2 1 1.0788239 0.377050621 1
#> 1095 1 2 1 0 2.5388019 0.312799374 1
#> 1096 1 2 2 1 1.3492550 0.813303100 2
#> 1097 1 2 1 0 1.5903815 0.680426805 1
#> 1098 1 2 2 1 3.4742760 0.248128362 1
#> 1099 1 2 1 0 0.5928047 2.033586401 3
#> 1100 1 2 2 1 1.4659376 0.585955482 1
#> 1101 1 2 2 1 1.2164751 0.995141397 2
#> 1102 1 2 1 0 0.5778614 1.088553326 2
#> 1103 1 2 2 1 1.6038116 0.334427680 1
#> 1104 1 2 2 1 0.8256314 2.073465464 3
#> 1105 1 2 2 1 1.9198430 0.096992297 1
#> 1106 1 2 2 1 2.2018006 0.607535233 1
#> 1107 1 2 2 1 1.3435850 0.753615452 1
#> 1108 1 2 2 1 1.0802570 0.659276420 1
#> 1109 1 2 2 1 0.9149277 0.415889381 1
#> 1110 1 2 2 1 1.8553862 0.818979212 2
#> 1111 1 2 1 0 2.1367398 0.786658109 1
#> 1112 1 2 2 1 2.3169162 1.186524983 2
#> 1113 1 2 1 0 1.7697368 0.039862787 1
#> 1114 1 2 2 1 2.1441183 0.449283931 1
#> 1115 1 2 2 1 1.3562846 0.005821711 1
#> 1116 1 2 2 1 1.9383326 0.197603004 1
#> 1117 1 2 2 1 2.9255818 1.057202142 2
#> 1118 1 2 2 1 0.5859426 0.939819856 2
#> 1119 1 2 2 1 0.8050458 1.473781478 2
#> 1120 1 2 2 1 1.7431988 0.309223265 1
#> 1121 1 2 2 1 2.4119314 1.156155010 2
#> 1122 1 2 2 1 2.8200239 0.494207635 1
#> 1123 1 2 2 1 1.1895938 1.044424658 2
#> 1124 1 2 2 1 1.9116298 0.684768493 1
#> 1125 1 2 2 1 2.6631227 0.385348978 1
#> 1126 1 2 2 1 1.3689398 1.381402127 2
#> 1127 1 2 2 1 3.0849009 0.239661795 1
#> 1128 1 2 2 1 1.4887786 0.196644864 1
#> 1129 1 2 2 1 1.4984006 1.677740952 3
#> 1130 1 2 2 1 1.4990802 0.425579482 1
#> 1131 1 2 1 0 3.3249798 0.258006352 1
#> 1132 1 2 2 1 0.9466640 2.002814036 3
#> 1133 1 2 2 1 0.5402902 0.782935764 1
#> 1134 1 2 2 1 2.3422130 0.066683343 1
#> 1135 1 2 2 1 1.9122533 1.266880621 2
#> 1136 1 2 1 0 1.9608863 0.328304258 1
#> 1137 1 2 2 1 2.6215634 0.615257684 1
#> 1138 1 2 2 1 1.5401743 0.439166519 1
#> 1139 1 2 1 0 0.9793237 0.405773469 1
#> 1140 1 2 2 1 0.8348714 1.707788409 3
#> 1141 1 2 2 1 0.6687428 1.473244733 2
#> 1142 1 2 1 0 3.9090609 0.559921164 1
#> 1143 1 2 1 0 2.6953754 0.161302138 1
#> 1144 1 2 2 1 3.5343500 1.000022058 2
#> 1145 1 2 1 0 1.1742544 0.635276120 1
#> 1146 1 2 1 0 1.7439890 1.356005323 2
#> 1147 1 2 2 1 1.1479746 1.426359307 2
#> 1148 1 2 2 1 1.2574474 0.670962875 1
#> 1149 1 2 1 0 2.0593333 0.355170517 1
#> 1150 1 2 1 0 2.1523102 0.211453110 1
#> 1151 1 2 2 1 1.7204146 0.900595717 2
#> 1152 1 2 2 1 2.3397031 0.574463669 1
#> 1153 1 2 2 1 1.7318570 0.272953997 1
#> 1154 1 2 2 1 2.4222587 0.223398684 1
#> 1155 1 2 1 0 1.8787793 0.232342907 1
#> 1156 1 2 1 0 1.1064666 0.198106589 1
#> 1157 1 2 1 0 3.3806394 0.695091598 1
#> 1158 1 2 2 1 0.8522710 1.136006274 2
#> 1159 1 2 1 0 1.7271821 0.321912023 1
#> 1160 1 2 2 1 2.0624235 0.527893323 1
#> 1161 1 2 2 1 2.8707062 0.301345987 1
#> 1162 1 2 2 1 1.9530200 0.012346320 1
#> 1163 1 2 2 1 0.9548005 1.068466990 2
#> 1164 1 2 1 0 1.8845673 0.220513807 1
#> 1165 1 2 2 1 1.2301803 0.517915674 1
#> 1166 1 2 1 0 3.8741692 0.104981793 1
#> 1167 1 2 2 1 1.2122537 1.037207326 2
#> 1168 1 2 2 1 1.4522231 1.342121712 2
#> 1169 1 2 2 1 1.1401644 0.255758595 1
#> 1170 1 2 2 1 2.1304111 0.687598358 1
#> 1171 1 2 1 0 1.4183555 0.469025430 1
#> 1172 1 2 1 0 2.0466258 0.601058457 1
#> 1173 1 2 2 1 1.5794164 1.487634565 2
#> 1174 1 2 2 1 1.4286615 2.070232436 3
#> 1175 1 2 2 1 1.7380511 0.507842933 1
#> 1176 1 2 2 1 0.9187709 1.956812845 3
#> 1177 1 2 1 0 1.6841206 0.221361056 1
#> 1178 1 2 2 1 1.0887840 0.888821576 2
#> 1179 1 2 2 1 0.5568769 1.407521415 2
#> 1180 1 2 2 1 0.9753013 2.080981952 3
#> 1181 1 2 2 1 1.7147446 1.008608403 2
#> 1182 1 2 2 1 1.7613859 0.847042753 2
#> 1183 1 2 2 1 2.2685190 0.645002631 1
#> 1184 1 2 1 0 2.1839033 0.304476402 1
#> 1185 1 2 2 1 1.1434860 0.708349060 1
#> 1186 1 2 1 0 1.1996739 0.184541373 1
#> 1187 1 2 2 1 1.9588902 0.574927169 1
#> 1188 1 2 2 1 2.0967354 0.584798455 1
#> 1189 1 2 2 1 1.8019210 0.399688832 1
#> 1190 1 2 2 1 1.3439740 2.042194881 3
#> 1191 1 2 1 0 2.8744843 0.171166638 1
#> 1192 1 2 2 1 1.2481278 2.103208878 3
#> 1193 1 2 2 1 1.3131074 0.488172604 1
#> 1194 1 2 2 1 1.4196125 1.578617886 3
#> 1195 1 2 2 1 1.8638448 1.345404058 2
#> 1196 1 2 2 1 1.5040342 1.041353546 2
#> 1197 1 2 2 1 1.0200190 0.711267271 1
#> 1198 1 2 2 1 1.2012271 1.117799815 2
#> 1199 1 2 2 1 1.4810110 1.103998996 2
#> 1200 1 2 1 0 2.0490443 0.621633732 1
#> 1201 2 2 2 1 1.5407694 1.867773945 3
#> 1202 2 2 2 1 0.9122458 0.059769293 1
#> 1203 2 2 2 1 1.4933011 0.758862280 1
#> 1204 2 2 2 1 2.2489639 0.578706035 1
#> 1205 2 2 2 1 1.1419981 0.894887242 2
#> 1206 2 2 2 1 0.4109645 2.765456612 3
#> 1207 2 2 2 1 1.4360659 0.813078070 2
#> 1208 2 2 2 1 0.4771519 1.186545659 2
#> 1209 2 2 2 1 4.1900993 0.706295233 1
#> 1210 2 2 2 1 1.2217053 0.938368768 2
#> 1211 2 2 2 1 1.0564766 0.354414315 1
#> 1212 2 2 2 1 0.9844838 0.750390662 1
#> 1213 2 2 2 1 0.9502039 0.754884013 1
#> 1214 2 2 2 1 1.6813775 2.198804798 3
#> 1215 2 2 1 0 1.0554193 0.900492739 2
#> 1216 2 2 2 1 1.5917700 0.268546629 1
#> 1217 2 2 2 1 0.7990984 1.102121948 2
#> 1218 2 2 2 1 1.6953306 0.177165246 1
#> 1219 2 2 2 1 1.0566833 1.912905344 3
#> 1220 2 2 2 1 1.5654982 2.119373338 3
#> 1221 2 2 2 1 0.6246846 1.578129995 3
#> 1222 2 2 2 1 1.0443913 0.469541004 1
#> 1223 2 2 2 1 0.9552158 0.361947146 1
#> 1224 2 2 2 1 1.1875197 1.495225365 2
#> 1225 2 2 1 0 1.5191134 0.162285259 1
#> 1226 2 2 2 1 1.0956792 1.756399955 3
#> 1227 2 2 2 1 0.9312215 0.488445254 1
#> 1228 2 2 2 1 0.8492647 1.709010415 3
#> 1229 2 2 2 1 0.8963086 2.181380113 3
#> 1230 2 2 2 1 1.1503486 0.892628785 2
#> 1231 2 2 1 0 0.9561868 0.134954863 1
#> 1232 2 2 2 1 1.0403824 1.319522675 2
#> 1233 2 2 2 1 0.5654030 1.673319182 3
#> 1234 2 2 2 1 0.6644822 2.037802099 3
#> 1235 2 2 2 1 1.6910219 0.435508010 1
#> 1236 2 2 2 1 0.8356036 0.533472323 1
#> 1237 2 2 1 0 0.9577200 0.290193628 1
#> 1238 2 2 2 1 1.7634260 2.026112984 3
#> 1239 2 2 2 1 0.5263530 1.849135077 3
#> 1240 2 2 2 1 1.5191729 0.060821046 1
#> 1241 2 2 2 1 2.5992788 0.274621996 1
#> 1242 2 2 2 1 1.0919198 1.233601476 2
#> 1243 2 2 2 1 3.4263245 1.208107980 2
#> 1244 2 2 2 1 1.9715511 0.809368267 2
#> 1245 2 2 2 1 0.9137668 1.664879766 3
#> 1246 2 2 2 1 0.5001608 1.687008640 3
#> 1247 2 2 2 1 1.1238776 0.914793756 2
#> 1248 2 2 2 1 2.0251594 0.047151826 1
#> 1249 2 2 1 0 0.9485837 0.598016891 1
#> 1250 2 2 2 1 1.0603849 1.086380056 2
#> 1251 2 2 2 1 0.9414158 1.433388487 2
#> 1252 2 2 2 1 0.4747861 2.115675724 3
#> 1253 2 2 1 0 1.1727451 0.487902873 1
#> 1254 2 2 2 1 1.1459775 1.449144207 2
#> 1255 2 2 1 0 1.0445508 1.083582081 2
#> 1256 2 2 2 1 1.0270459 1.039571177 2
#> 1257 2 2 2 1 1.0681306 0.962388254 2
#> 1258 2 2 2 1 0.8775385 0.610608003 1
#> 1259 2 2 2 1 1.0028297 0.474087481 1
#> 1260 2 2 1 0 1.6072138 0.271011441 1
#> 1261 2 2 2 1 1.3112267 0.806212554 2
#> 1262 2 2 2 1 1.2287900 0.364158368 1
#> 1263 2 2 2 1 3.7036472 0.331824716 1
#> 1264 2 2 2 1 0.6968101 1.287019689 2
#> 1265 2 2 2 1 0.2344825 2.387954949 3
#> 1266 2 2 2 1 0.6811915 0.727997699 1
#> 1267 2 2 2 1 3.1429712 1.040437505 2
#> 1268 2 2 2 1 2.5827947 0.108013657 1
#> 1269 2 2 2 1 1.5005745 1.368506249 2
#> 1270 2 2 2 1 0.9364180 1.109792506 2
#> 1271 2 2 1 0 1.5907614 0.533968019 1
#> 1272 2 2 2 1 1.4050522 0.802111030 2
#> 1273 2 2 2 1 0.6284336 1.367179536 2
#> 1274 2 2 2 1 1.3590482 0.962465007 2
#> 1275 2 2 2 1 1.9694922 1.408350555 2
#> 1276 2 2 2 1 0.7867616 1.254057082 2
#> 1277 2 2 2 1 0.6928114 2.180190593 3
#> 1278 2 2 1 0 1.5767259 0.055914433 1
#> 1279 2 2 2 1 0.9144969 0.686286306 1
#> 1280 2 2 2 1 1.5373927 1.280764684 2
#> 1281 2 2 2 1 1.1177322 1.746003840 3
#> 1282 2 2 2 1 0.9273605 0.464445628 1
#> 1283 2 2 2 1 1.5650592 0.575341666 1
#> 1284 2 2 2 1 0.9825248 1.731514692 3
#> 1285 2 2 2 1 1.3705259 1.844578797 3
#> 1286 2 2 1 0 1.2034801 0.013738339 1
#> 1287 2 2 2 1 1.0855469 2.253820247 3
#> 1288 2 2 1 0 2.6090578 0.100245321 1
#> 1289 2 2 2 1 0.9666828 1.238560861 2
#> 1290 2 2 2 1 1.6286542 0.138291257 1
#> 1291 2 2 2 1 1.3417136 0.058899364 1
#> 1292 2 2 2 1 2.0594718 1.138340991 2
#> 1293 2 2 1 0 1.2921124 0.777005686 1
#> 1294 2 2 2 1 0.9264908 0.732097341 1
#> 1295 2 2 2 1 0.6219038 2.272187917 3
#> 1296 2 2 2 1 2.0901287 0.708702183 1
#> 1297 2 2 2 1 1.9207722 0.975098642 2
#> 1298 2 2 2 1 0.5125286 0.866023456 2
#> 1299 2 2 2 1 0.6378568 1.214304567 2
#> 1300 2 2 2 1 1.5128445 2.167163491 3
#> 1301 2 2 2 1 2.0841041 1.231456300 2
#> 1302 2 2 2 1 2.8267520 0.649977377 1
#> 1303 2 2 2 1 0.4854706 1.005804814 2
#> 1304 2 2 2 1 1.2033531 0.453716691 1
#> 1305 2 2 2 1 0.7068857 0.944793324 2
#> 1306 2 2 2 1 1.0424358 1.259013767 2
#> 1307 2 2 2 1 0.7553870 1.389239394 2
#> 1308 2 2 1 0 0.8556087 0.608361003 1
#> 1309 2 2 1 0 1.6349517 0.433949698 1
#> 1310 2 2 2 1 0.4093879 1.240419950 2
#> 1311 2 2 2 1 1.4988376 0.897492278 2
#> 1312 2 2 2 1 2.5786993 0.566923915 1
#> 1313 2 2 2 1 2.5002017 0.190274371 1
#> 1314 2 2 2 1 1.0693734 1.249711601 2
#> 1315 2 2 2 1 0.4341473 0.871747609 2
#> 1316 2 2 2 1 0.8060946 1.571854730 3
#> 1317 2 2 2 1 1.2572339 1.377940398 2
#> 1318 2 2 2 1 1.8253184 0.454544700 1
#> 1319 2 2 2 1 3.1083182 0.242773652 1
#> 1320 2 2 2 1 1.9697155 0.990773491 2
#> 1321 2 2 2 1 0.9290765 0.718253883 1
#> 1322 2 2 2 1 1.5143558 1.251489678 2
#> 1323 2 2 2 1 1.7310485 0.127507392 1
#> 1324 2 2 2 1 1.7382965 0.949276740 2
#> 1325 2 2 2 1 0.5225136 0.796035708 1
#> 1326 2 2 2 1 0.9249942 1.888460473 3
#> 1327 2 2 2 1 1.2094034 1.966751333 3
#> 1328 2 2 2 1 1.7212862 0.786777528 1
#> 1329 2 2 2 1 1.7744511 0.361915687 1
#> 1330 2 2 2 1 0.9258677 0.839340936 2
#> 1331 2 2 2 1 3.9392834 0.085478782 1
#> 1332 2 2 2 1 0.4723709 1.986571410 3
#> 1333 2 2 2 1 0.4355133 1.804573270 3
#> 1334 2 2 2 1 0.9018702 0.995451381 2
#> 1335 2 2 2 1 2.0136258 0.392034219 1
#> 1336 2 2 2 1 1.6151481 1.117806692 2
#> 1337 2 2 2 1 0.6727086 1.733340734 3
#> 1338 2 2 2 1 0.5546032 1.663877012 3
#> 1339 2 2 2 1 2.0557582 0.796439521 1
#> 1340 2 2 2 1 1.1604624 2.013278480 3
#> 1341 2 2 2 1 2.0278102 0.013015600 1
#> 1342 2 2 2 1 2.6329506 0.088294277 1
#> 1343 2 2 2 1 0.2981672 2.954120927 3
#> 1344 2 2 2 1 0.2598851 2.977458916 3
#> 1345 2 2 2 1 0.7155475 1.334775545 2
#> 1346 2 2 2 1 0.6784084 1.501244112 3
#> 1347 2 2 2 1 1.5331133 0.889248624 2
#> 1348 2 2 2 1 0.9025265 0.974009626 2
#> 1349 2 2 2 1 0.4950903 2.170413965 3
#> 1350 2 2 1 0 0.6905520 0.904016899 2
#> 1351 2 2 2 1 0.5861168 1.322863322 2
#> 1352 2 2 1 0 2.2693450 0.223919756 1
#> 1353 2 2 2 1 0.8548571 1.604011365 3
#> 1354 2 2 2 1 0.6965965 0.397034981 1
#> 1355 2 2 2 1 1.0674090 1.527005084 3
#> 1356 2 2 2 1 1.6109259 1.070578849 2
#> 1357 2 2 2 1 0.8364388 0.997433425 2
#> 1358 2 2 2 1 1.4031549 0.752483643 1
#> 1359 2 2 2 1 2.1812353 0.735680313 1
#> 1360 2 2 2 1 1.4090230 0.454958080 1
#> 1361 2 2 2 1 1.0359870 1.426047969 2
#> 1362 2 2 2 1 0.7916975 0.456164448 1
#> 1363 2 2 2 1 1.8383196 1.290520019 2
#> 1364 2 2 1 0 0.9705320 0.707892666 1
#> 1365 2 2 2 1 0.7849516 2.543499704 3
#> 1366 2 2 2 1 0.5260208 2.208460716 3
#> 1367 2 2 2 1 1.1099239 0.139456080 1
#> 1368 2 2 2 1 1.3945405 1.250057248 2
#> 1369 2 2 2 1 0.7580113 1.348284570 2
#> 1370 2 2 2 1 0.9745196 2.175618863 3
#> 1371 2 2 2 1 0.8373643 1.343234759 2
#> 1372 2 2 2 1 0.6743273 2.015772430 3
#> 1373 2 2 2 1 1.1236956 1.843252715 3
#> 1374 2 2 2 1 0.5668679 2.267788730 3
#> 1375 2 2 2 1 0.9146259 1.035901534 2
#> 1376 2 2 2 1 1.1077734 1.293597312 2
#> 1377 2 2 2 1 1.8124238 0.577377996 1
#> 1378 2 2 1 0 1.9761027 0.042563413 1
#> 1379 2 2 2 1 1.0848557 0.663917778 1
#> 1380 2 2 2 1 1.1865023 1.520823265 3
#> 1381 2 2 2 1 1.0551769 0.944164837 2
#> 1382 2 2 2 1 1.2640626 0.664826857 1
#> 1383 2 2 2 1 1.7024930 0.178817856 1
#> 1384 2 2 1 0 1.2554292 0.284866194 1
#> 1385 2 2 2 1 0.5667503 1.058339713 2
#> 1386 2 2 2 1 0.9598261 1.201030451 2
#> 1387 2 2 1 0 1.2092169 0.138179462 1
#> 1388 2 2 2 1 1.2220462 0.026907839 1
#> 1389 2 2 1 0 3.0734482 0.088618471 1
#> 1390 2 2 2 1 0.9953173 0.711311177 1
#> 1391 2 2 1 0 0.8164151 0.630600532 1
#> 1392 2 2 2 1 0.8486276 1.311773559 2
#> 1393 2 2 2 1 0.6455847 0.863680161 2
#> 1394 2 2 2 1 1.0598629 1.436124577 2
#> 1395 2 2 2 1 0.7991684 0.786605616 1
#> 1396 2 2 2 1 2.3790551 0.504054174 1
#> 1397 2 2 2 1 0.7428784 1.631477884 3
#> 1398 2 2 2 1 2.1436883 0.575181895 1
#> 1399 2 2 1 0 1.2491117 0.059791282 1
#> 1400 2 2 2 1 1.6372921 1.317526280 2
#> 1401 2 2 1 0 1.1198936 0.036601009 1
#> 1402 2 2 2 1 1.1828789 1.224959600 2
#> 1403 2 2 2 1 0.6215176 2.012452702 3
#> 1404 2 2 2 1 1.1850514 1.126564280 2
#> 1405 2 2 2 1 1.2492293 1.408563732 2
#> 1406 2 2 1 0 2.1588015 0.033148644 1
#> 1407 2 2 2 1 0.9273279 1.200309468 2
#> 1408 2 2 2 1 2.2286670 0.763809996 1
#> 1409 2 2 2 1 1.0303834 1.326251403 2
#> 1410 2 2 2 1 0.4312988 0.960675322 2
#> 1411 2 2 2 1 2.2159755 0.174054887 1
#> 1412 2 2 2 1 0.8509040 0.471858857 1
#> 1413 2 2 2 1 0.9778978 0.009170492 1
#> 1414 2 2 2 1 1.4277563 0.752981928 1
#> 1415 2 2 2 1 0.9832787 0.476385542 1
#> 1416 2 2 2 1 1.4630860 0.511870489 1
#> 1417 2 2 2 1 0.5021783 1.225211292 2
#> 1418 2 2 2 1 0.9756477 0.577929900 1
#> 1419 2 2 2 1 1.6997104 1.615532768 3
#> 1420 2 2 2 1 1.6411521 1.375673627 2
#> 1421 2 2 2 1 0.9074423 1.417310043 2
#> 1422 2 2 2 1 0.6397393 1.140699924 2
#> 1423 2 2 2 1 0.5705526 1.668904373 3
#> 1424 2 2 2 1 0.6744835 2.401379745 3
#> 1425 2 2 2 1 0.8414842 1.683291339 3
#> 1426 2 2 2 1 1.2996808 1.035979274 2
#> 1427 2 2 2 1 1.3370358 0.712368392 1
#> 1428 2 2 2 1 1.4123806 0.179269512 1
#> 1429 2 2 2 1 1.7767821 0.621624087 1
#> 1430 2 2 2 1 2.4009749 0.562320967 1
#> 1431 2 2 2 1 2.1692105 0.963108328 2
#> 1432 2 2 2 1 1.4374039 1.255246895 2
#> 1433 2 2 2 1 1.4666259 1.342235689 2
#> 1434 2 2 2 1 0.9768748 1.291854971 2
#> 1435 2 2 2 1 1.3175667 1.270023985 2
#> 1436 2 2 2 1 1.0982063 0.554825543 1
#> 1437 2 2 2 1 0.8225647 1.461242774 2
#> 1438 2 2 2 1 0.5947128 0.854100113 2
#> 1439 2 2 2 1 0.6746344 1.671697555 3
#> 1440 2 2 2 1 2.0417946 0.498549352 1
#> 1441 2 2 2 1 2.0085404 0.138521046 1
#> 1442 2 2 2 1 1.1476950 0.359954792 1
#> 1443 2 2 2 1 3.3256166 0.807032304 2
#> 1444 2 2 2 1 1.1490376 0.829437980 2
#> 1445 2 2 1 0 2.4653628 0.236257638 1
#> 1446 2 2 2 1 3.0118100 0.549922553 1
#> 1447 2 2 2 1 0.8627590 1.241357567 2
#> 1448 2 2 2 1 1.1119037 1.280961762 2
#> 1449 2 2 2 1 1.5465912 0.292595032 1
#> 1450 2 2 2 1 1.2184133 0.435034562 1
#> 1451 2 2 2 1 1.9059828 0.169480363 1
#> 1452 2 2 2 1 0.8033485 1.219107989 2
#> 1453 2 2 2 1 0.8855539 1.023219097 2
#> 1454 2 2 2 1 1.2451846 1.133424770 2
#> 1455 2 2 2 1 0.5903273 0.572017071 1
#> 1456 2 2 2 1 0.9878066 0.953292171 2
#> 1457 2 2 2 1 2.7139239 2.157053698 3
#> 1458 2 2 2 1 0.9867650 1.939941921 3
#> 1459 2 2 2 1 1.1443012 0.206764335 1
#> 1460 2 2 2 1 2.1323368 1.114645130 2
#> 1461 2 2 2 1 3.9401819 0.066669640 1
#> 1462 2 2 2 1 1.6561621 0.360195188 1
#> 1463 2 2 2 1 1.0084764 1.222679085 2
#> 1464 2 2 2 1 3.4052132 0.454409767 1
#> 1465 2 2 2 1 0.9304525 1.179992344 2
#> 1466 2 2 2 1 1.4456590 0.704983207 1
#> 1467 2 2 2 1 1.2503613 0.585230174 1
#> 1468 2 2 2 1 3.0215601 0.543432729 1
#> 1469 2 2 2 1 0.9813309 1.918473245 3
#> 1470 2 2 2 1 1.4855144 1.268179743 2
#> 1471 2 2 2 1 1.3660062 0.670750207 1
#> 1472 2 2 2 1 1.3308052 2.119809409 3
#> 1473 2 2 2 1 0.6650182 2.180585046 3
#> 1474 2 2 2 1 1.4513580 0.737722456 1
#> 1475 2 2 2 1 1.0255852 0.831018274 2
#> 1476 2 2 1 0 1.9463199 0.756132267 1
#> 1477 2 2 2 1 1.0556340 0.631274567 1
#> 1478 2 2 2 1 3.0351024 0.381093855 1
#> 1479 2 2 2 1 1.3941417 1.310018054 2
#> 1480 2 2 2 1 1.4535525 0.493817639 1
#> 1481 2 2 1 0 2.0950484 0.025231599 1
#> 1482 2 2 2 1 0.3961469 2.144482106 3
#> 1483 2 2 2 1 2.0928731 0.354691496 1
#> 1484 2 2 2 1 1.1587222 1.322012401 2
#> 1485 2 2 2 1 0.5798525 1.884141238 3
#> 1486 2 2 2 1 0.7249072 0.160513707 1
#> 1487 2 2 2 1 0.5164294 1.673943620 3
#> 1488 2 2 2 1 0.4936816 0.705679441 1
#> 1489 2 2 2 1 0.9319793 1.309829354 2
#> 1490 2 2 2 1 0.4405136 1.868311954 3
#> 1491 2 2 2 1 1.9000568 0.381913089 1
#> 1492 2 2 2 1 1.5992010 0.096701846 1
#> 1493 2 2 2 1 1.5169975 1.032420823 2
#> 1494 2 2 2 1 1.2491018 0.192974630 1
#> 1495 2 2 2 1 1.0610121 2.007549527 3
#> 1496 2 2 2 1 2.1206875 0.093009720 1
#> 1497 2 2 2 1 1.0470291 0.138646560 1
#> 1498 2 2 2 1 1.1880676 0.487920355 1
#> 1499 2 2 2 1 1.2422822 1.406641941 2
#> 1500 2 2 2 1 2.2144462 0.098693343 1
#> 1501 2 2 2 1 0.5468544 1.288241043 2
#> 1502 2 2 2 1 1.1629353 1.250440793 2
#> 1503 2 2 2 1 1.1555991 1.171402853 2
#> 1504 2 2 2 1 1.5590353 1.522201218 3
#> 1505 2 2 1 0 0.9877918 0.648677955 1
#> 1506 2 2 2 1 0.8356396 1.382229324 2
#> 1507 2 2 2 1 1.0897281 1.511506098 3
#> 1508 2 2 2 1 2.1728326 0.099470311 1
#> 1509 2 2 2 1 0.9184940 1.024589042 2
#> 1510 2 2 2 1 1.6564396 1.335458033 2
#> 1511 2 2 2 1 0.3846524 2.493043859 3
#> 1512 2 2 2 1 0.6573576 0.701629615 1
#> 1513 2 2 2 1 0.7785829 0.757003805 1
#> 1514 2 2 1 0 1.8957300 0.128580606 1
#> 1515 2 2 2 1 1.1431442 0.633363213 1
#> 1516 2 2 2 1 1.0806708 1.367633517 2
#> 1517 2 2 2 1 0.7051279 1.169743977 2
#> 1518 2 2 2 1 0.3700721 1.892879020 3
#> 1519 2 2 1 0 2.1154649 0.095914678 1
#> 1520 2 2 2 1 0.4624508 2.146294276 3
#> 1521 2 2 2 1 0.7670675 0.958952888 2
#> 1522 2 2 2 1 1.3865250 0.076451487 1
#> 1523 2 2 2 1 1.1317525 0.787539442 1
#> 1524 2 2 2 1 1.3695569 0.325542881 1
#> 1525 2 2 2 1 0.5542667 2.135564258 3
#> 1526 2 2 2 1 0.8321610 1.084536930 2
#> 1527 2 2 2 1 0.7324282 0.892170342 2
#> 1528 2 2 2 1 1.5510048 0.829575033 2
#> 1529 2 2 2 1 0.7407140 1.893737473 3
#> 1530 2 2 2 1 0.8845080 1.539848069 3
#> 1531 2 2 2 1 0.7600400 2.078396966 3
#> 1532 2 2 2 1 1.0643133 0.145364359 1
#> 1533 2 2 2 1 1.6430341 1.103537747 2
#> 1534 2 2 2 1 0.9605252 1.065649263 2
#> 1535 2 2 2 1 0.9517160 1.829901625 3
#> 1536 2 2 2 1 0.4951308 1.543764930 3
#> 1537 2 2 2 1 1.8020297 0.280521002 1
#> 1538 2 2 2 1 0.2784443 2.284657209 3
#> 1539 2 2 2 1 0.9206238 0.535367007 1
#> 1540 2 2 1 0 2.8172544 0.027699822 1
#> 1541 2 2 2 1 1.7851924 0.706176025 1
#> 1542 2 2 2 1 0.8681478 1.831929976 3
#> 1543 2 2 2 1 0.5848287 1.088579144 2
#> 1544 2 2 2 1 0.5493555 1.770053646 3
#> 1545 2 2 2 1 0.8662151 1.528081803 3
#> 1546 2 2 1 0 0.8403915 0.427547649 1
#> 1547 2 2 2 1 1.2122089 0.375269712 1
#> 1548 2 2 2 1 0.7766676 1.682812805 3
#> 1549 2 2 2 1 0.6903967 1.648019647 3
#> 1550 2 2 2 1 1.7992070 0.159355820 1
#> 1551 2 2 1 0 2.8845286 0.151042316 1
#> 1552 2 2 2 1 1.9937066 0.153597623 1
#> 1553 2 2 2 1 0.9183272 1.229425216 2
#> 1554 2 2 2 1 3.4965960 0.169409958 1
#> 1555 2 2 2 1 0.8556662 0.191804847 1
#> 1556 2 2 2 1 1.4909966 0.693341266 1
#> 1557 2 2 2 1 2.2411717 0.414742418 1
#> 1558 2 2 1 0 1.1435584 0.276890000 1
#> 1559 2 2 2 1 1.1988487 0.939537011 2
#> 1560 2 2 2 1 1.4415806 1.528826628 3
#> 1561 2 2 2 1 1.5918336 0.978984377 2
#> 1562 2 2 1 0 0.9975098 0.371596193 1
#> 1563 2 2 2 1 1.3543052 1.315271296 2
#> 1564 2 2 2 1 1.1961063 1.275747359 2
#> 1565 2 2 2 1 1.0617487 0.929515109 2
#> 1566 2 2 2 1 0.7147751 1.415242345 2
#> 1567 2 2 2 1 0.8224994 1.078088838 2
#> 1568 2 2 1 0 2.7364541 0.065698397 1
#> 1569 2 2 2 1 1.0666745 1.267484964 2
#> 1570 2 2 2 1 0.6145044 1.309597485 2
#> 1571 2 2 2 1 2.1058537 0.295497429 1
#> 1572 2 2 1 0 1.1028987 0.459232909 1
#> 1573 2 2 2 1 1.4734714 0.260183085 1
#> 1574 2 2 2 1 0.4462628 2.559522826 3
#> 1575 2 2 2 1 1.0519157 0.958695478 2
#> 1576 2 2 2 1 1.4452415 1.571668422 3
#> 1577 2 2 2 1 0.6822231 2.273242354 3
#> 1578 2 2 2 1 1.1347972 1.703503591 3
#> 1579 2 2 2 1 0.8368275 1.501506004 3
#> 1580 2 2 2 1 0.9705969 0.338455898 1
#> 1581 2 2 2 1 0.7280916 1.568105001 3
#> 1582 2 2 2 1 1.6050891 1.638890083 3
#> 1583 2 2 1 0 2.0625564 0.158767476 1
#> 1584 2 2 2 1 1.2129494 1.273983570 2
#> 1585 2 2 2 1 0.6610786 1.794099360 3
#> 1586 2 2 2 1 0.9688854 1.132050081 2
#> 1587 2 2 2 1 0.9787426 1.375471928 2
#> 1588 2 2 1 0 1.2295498 0.031763271 1
#> 1589 2 2 2 1 1.2718606 0.712034092 1
#> 1590 2 2 2 1 3.3548339 0.493004461 1
#> 1591 2 2 2 1 0.9107187 1.005140692 2
#> 1592 2 2 2 1 1.7115029 1.138122069 2
#> 1593 2 2 2 1 1.4220749 0.010171556 1
#> 1594 2 2 2 1 0.9169832 0.188290038 1
#> 1595 2 2 2 1 2.2939990 0.950875060 2
#> 1596 2 2 2 1 0.7321394 1.390406808 2
#> 1597 2 2 2 1 0.5673429 2.613542186 3
#> 1598 2 2 2 1 2.0615477 0.546916347 1
#> 1599 2 2 2 1 0.7310270 2.774984674 3
#> 1600 2 2 2 1 1.5156109 1.739880292 3
#>
#> $gamma
#> $gamma$condition
#> # A tibble: 2 × 2
#> correct Gamma
#> <dbl> <dbl>
#> 1 0 -0.181
#> 2 1 0.352
#>
#> $gamma$rt
#> # A tibble: 2 × 2
#> correct Gamma
#> <dbl> <dbl>
#> 1 0 -0.590
#> 2 1 -0.514
#>
#> $gamma$correct
#> # A tibble: 2 × 2
#> condition Gamma
#> <int> <dbl>
#> 1 1 0.765
#> 2 2 0.925
#>
#> $gamma$rt_bycondition
#> # A tibble: 2 × 2
#> condition Gamma
#> <int> <dbl>
#> 1 1 -0.510
#> 2 2 -0.495
#>
#> $gamma$rt_byconditionbycorrect
#> # A tibble: 4 × 3
#> condition correct Gamma
#> <int> <dbl> <dbl>
#> 1 1 0 -0.597
#> 2 1 1 -0.498
#> 3 2 0 -0.689
#> 4 2 1 -0.476
#>
#>
# }
# 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,
s_v1=0.5, s_v2=0.5,
s_d1=0.3, s_d2=0.3,
rho_v=0.2, rho_d=0.1,
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 0.4890240 1.9085175 3
#> 2 1 1 1 1 1.2182956 0.3568843 1
#> 3 1 1 1 1 1.2706303 0.5082417 2
#> 4 1 1 1 1 2.2400895 0.3336495 1
#> 5 1 1 1 1 1.1323409 1.4526563 3
#> 6 1 1 1 1 0.8058802 0.8760613 2
# 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,
s_v1=0.5, s_v2=0.5,
s_d1=0.3, s_d2=0.3,
rho_v=0.2, rho_d=0.1,
theta1=0.8, theta2=1.5)
simus_multi <- simulateMTLNR(paramDf_multi, n = 1000)
table(simus_multi$condition, simus_multi$correct)
#>
#> 0 1
#> 1 687 1313
#> 2 408 1592
#> 3 114 1886