A function to calculate the local spatial runs tests.
Source:R/local.sp.runs.test.R
local.sp.runs.test.RdThis function calculates the local spatial runs tests for all localizations.
Usage
local.sp.runs.test(formula = NULL, data = NULL, fx = NULL,
distr = "asymptotic", listw = listw, alternative = "two.sided" , nsim = NULL,
control = list())Arguments
- formula
An (optional) formula with the factor included in
data- data
An (optional) data frame or a sf object containing the variable to testing for.
- fx
An (optional) factor of observations with the same length as the neighbors list in
listw- distr
a character string specifying the distribution "asymptotic" (default) or "bootstrap"
- listw
A neighbourhood list (an object type knn or nb) or a W matrix that indicates the order of the elements in each $m_i-environment$ (for example of inverse distance). To calculate the number of runs in each $m_i-environment$, an order must be established, for example from the nearest neighbour to the furthest one.
- alternative
a character string specifying the alternative hypothesis, must be one of "two.sided" (default), "greater" or "less".
- nsim
Default value is NULL to obtain the asymptotic version of the local test. For the bootstrap version nsim is the number of permutations to obtain the pseudo-value.
- control
Optional argument. See Control Argument section.
Value
The output is an object of the class localsrq local.SRQ A matrix with
runs.i | number of runs in the localization 'i'. |
E.i | expectation of local runs statistic in the localization 'i'. |
Sd.i | standard deviate of local runs statistic in the localization 'i'. |
z.value | standard value of local runs statistic (only for asymptotic version). |
p.value | p-value of local local runs statistic (only for asymptotic version). |
zseudo.value | standard value of local runs statistic (only for boots version). |
pseudo.value | p-value of local runs statistic (only for boots version). |
MeanNeig Mean of run.i MaxNeig Maximum of run.i listw the object listw alternative a character string describing the alternative hypothesis
Details
The object listw can be the class:
knn: Objects of the class knn that consider the neighbours in order of proximity.nb: If the neighbours are obtained from an sf object, the code internally will call the functionnb2nb_orderit will order them in order of proximity of the centroids.matrix: If a object of matrix class based in the inverse of the distance in introduced as argument, the functionnb2nb_orderwill also be called internally to transform the object the class matrix to a matrix of the class nb with ordered neighbours.
Control arguments
seedinit | Numerical value for the seed in boot version. Default value seedinit = 123 |
Author
| Fernando López | fernando.lopez@upct.es |
| Román Mínguez | roman.minguez@uclm.es |
| Antonio Páez | paezha@gmail.com |
| Manuel Ruiz | manuel.ruiz@upct.es |
@references
Ruiz, M., López, F., and Páez, A. (2021). A test for global and local homogeneity of categorical data based on spatial runs. Working paper.
Examples
# Case 1: Local spatial runs test based on knn
N <- 100
cx <- runif(N)
cy <- runif(N)
x <- cbind(cx,cy)
listw <- spdep::knearneigh(cbind(cx,cy), k = 10)
p <- c(1/6,3/6,2/6)
rho <- 0.5
fx <- dgp.spq(p = p, listw = listw, rho = rho)
# Asymtotic version
lsrq <- local.sp.runs.test(fx = fx, listw = listw, alternative = "less")
print(lsrq)
#> runs.i E.i Std.i z.value p.value
#> 1 5 7.183838 1.59988 -1.3650011 0.086126348
#> 2 8 7.183838 1.59988 0.5101392 0.695023022
#> 3 7 7.183838 1.59988 -0.1149076 0.454259185
#> 4 5 7.183838 1.59988 -1.3650011 0.086126348
#> 5 9 7.183838 1.59988 1.1351860 0.871851293
#> 6 7 7.183838 1.59988 -0.1149076 0.454259185
#> 7 9 7.183838 1.59988 1.1351860 0.871851293
#> 8 8 7.183838 1.59988 0.5101392 0.695023022
#> 9 9 7.183838 1.59988 1.1351860 0.871851293
#> 10 6 7.183838 1.59988 -0.7399544 0.229663845
#> 11 7 7.183838 1.59988 -0.1149076 0.454259185
#> 12 5 7.183838 1.59988 -1.3650011 0.086126348
#> 13 6 7.183838 1.59988 -0.7399544 0.229663845
#> 14 7 7.183838 1.59988 -0.1149076 0.454259185
#> 15 7 7.183838 1.59988 -0.1149076 0.454259185
#> 16 8 7.183838 1.59988 0.5101392 0.695023022
#> 17 6 7.183838 1.59988 -0.7399544 0.229663845
#> 18 7 7.183838 1.59988 -0.1149076 0.454259185
#> 19 6 7.183838 1.59988 -0.7399544 0.229663845
#> 20 7 7.183838 1.59988 -0.1149076 0.454259185
#> 21 5 7.183838 1.59988 -1.3650011 0.086126348
#> 22 6 7.183838 1.59988 -0.7399544 0.229663845
#> 23 5 7.183838 1.59988 -1.3650011 0.086126348
#> 24 8 7.183838 1.59988 0.5101392 0.695023022
#> 25 5 7.183838 1.59988 -1.3650011 0.086126348
#> 26 4 7.183838 1.59988 -1.9900479 0.023292830
#> 27 8 7.183838 1.59988 0.5101392 0.695023022
#> 28 4 7.183838 1.59988 -1.9900479 0.023292830
#> 29 8 7.183838 1.59988 0.5101392 0.695023022
#> 30 6 7.183838 1.59988 -0.7399544 0.229663845
#> 31 8 7.183838 1.59988 0.5101392 0.695023022
#> 32 9 7.183838 1.59988 1.1351860 0.871851293
#> 33 6 7.183838 1.59988 -0.7399544 0.229663845
#> 34 6 7.183838 1.59988 -0.7399544 0.229663845
#> 35 9 7.183838 1.59988 1.1351860 0.871851293
#> 36 7 7.183838 1.59988 -0.1149076 0.454259185
#> 37 6 7.183838 1.59988 -0.7399544 0.229663845
#> 38 8 7.183838 1.59988 0.5101392 0.695023022
#> 39 6 7.183838 1.59988 -0.7399544 0.229663845
#> 40 8 7.183838 1.59988 0.5101392 0.695023022
#> 41 8 7.183838 1.59988 0.5101392 0.695023022
#> 42 7 7.183838 1.59988 -0.1149076 0.454259185
#> 43 7 7.183838 1.59988 -0.1149076 0.454259185
#> 44 9 7.183838 1.59988 1.1351860 0.871851293
#> 45 7 7.183838 1.59988 -0.1149076 0.454259185
#> 46 9 7.183838 1.59988 1.1351860 0.871851293
#> 47 6 7.183838 1.59988 -0.7399544 0.229663845
#> 48 6 7.183838 1.59988 -0.7399544 0.229663845
#> 49 6 7.183838 1.59988 -0.7399544 0.229663845
#> 50 7 7.183838 1.59988 -0.1149076 0.454259185
#> 51 6 7.183838 1.59988 -0.7399544 0.229663845
#> 52 8 7.183838 1.59988 0.5101392 0.695023022
#> 53 9 7.183838 1.59988 1.1351860 0.871851293
#> 54 6 7.183838 1.59988 -0.7399544 0.229663845
#> 55 5 7.183838 1.59988 -1.3650011 0.086126348
#> 56 8 7.183838 1.59988 0.5101392 0.695023022
#> 57 5 7.183838 1.59988 -1.3650011 0.086126348
#> 58 7 7.183838 1.59988 -0.1149076 0.454259185
#> 59 8 7.183838 1.59988 0.5101392 0.695023022
#> 60 10 7.183838 1.59988 1.7602327 0.960815822
#> 61 9 7.183838 1.59988 1.1351860 0.871851293
#> 62 9 7.183838 1.59988 1.1351860 0.871851293
#> 63 9 7.183838 1.59988 1.1351860 0.871851293
#> 64 6 7.183838 1.59988 -0.7399544 0.229663845
#> 65 5 7.183838 1.59988 -1.3650011 0.086126348
#> 66 5 7.183838 1.59988 -1.3650011 0.086126348
#> 67 8 7.183838 1.59988 0.5101392 0.695023022
#> 68 6 7.183838 1.59988 -0.7399544 0.229663845
#> 69 6 7.183838 1.59988 -0.7399544 0.229663845
#> 70 8 7.183838 1.59988 0.5101392 0.695023022
#> 71 5 7.183838 1.59988 -1.3650011 0.086126348
#> 72 6 7.183838 1.59988 -0.7399544 0.229663845
#> 73 5 7.183838 1.59988 -1.3650011 0.086126348
#> 74 3 7.183838 1.59988 -2.6150947 0.004460136
#> 75 5 7.183838 1.59988 -1.3650011 0.086126348
#> 76 7 7.183838 1.59988 -0.1149076 0.454259185
#> 77 7 7.183838 1.59988 -0.1149076 0.454259185
#> 78 4 7.183838 1.59988 -1.9900479 0.023292830
#> 79 6 7.183838 1.59988 -0.7399544 0.229663845
#> 80 9 7.183838 1.59988 1.1351860 0.871851293
#> 81 7 7.183838 1.59988 -0.1149076 0.454259185
#> 82 8 7.183838 1.59988 0.5101392 0.695023022
#> 83 7 7.183838 1.59988 -0.1149076 0.454259185
#> 84 6 7.183838 1.59988 -0.7399544 0.229663845
#> 85 8 7.183838 1.59988 0.5101392 0.695023022
#> 86 8 7.183838 1.59988 0.5101392 0.695023022
#> 87 7 7.183838 1.59988 -0.1149076 0.454259185
#> 88 5 7.183838 1.59988 -1.3650011 0.086126348
#> 89 7 7.183838 1.59988 -0.1149076 0.454259185
#> 90 9 7.183838 1.59988 1.1351860 0.871851293
#> 91 7 7.183838 1.59988 -0.1149076 0.454259185
#> 92 9 7.183838 1.59988 1.1351860 0.871851293
#> 93 6 7.183838 1.59988 -0.7399544 0.229663845
#> 94 5 7.183838 1.59988 -1.3650011 0.086126348
#> 95 7 7.183838 1.59988 -0.1149076 0.454259185
#> 96 3 7.183838 1.59988 -2.6150947 0.004460136
#> 97 5 7.183838 1.59988 -1.3650011 0.086126348
#> 98 6 7.183838 1.59988 -0.7399544 0.229663845
#> 99 9 7.183838 1.59988 1.1351860 0.871851293
#> 100 6 7.183838 1.59988 -0.7399544 0.229663845
plot(lsrq, sig = 0.05)
# Asymtotic version
lsrq <- local.sp.runs.test(fx = fx, listw = listw, alternative = "two.sided",
distr ="bootstrap", nsim = 399)
print(lsrq)
#> SRQ EP.i SdP.i zseudo.value pseudo.value
#> 1 5 7.162907 1.658245 -1.30433517 0.192119328
#> 2 8 7.185464 1.527204 0.53335149 0.593790291
#> 3 7 7.167920 1.656227 -0.10138693 0.919243312
#> 4 5 7.223058 1.582844 -1.40447003 0.160178929
#> 5 9 7.152882 1.589597 1.16200361 0.245233999
#> 6 7 7.210526 1.558181 -0.13511028 0.892524684
#> 7 9 7.343358 1.583489 1.04619720 0.295469994
#> 8 8 7.085213 1.634354 0.55972394 0.575667750
#> 9 9 7.290727 1.562979 1.09359950 0.274130670
#> 10 6 7.082707 1.624460 -0.66650248 0.505089982
#> 11 7 7.370927 1.555589 -0.23844820 0.811533490
#> 12 5 7.115288 1.560100 -1.35586724 0.175141413
#> 13 6 7.105263 1.570439 -0.70379246 0.481562027
#> 14 7 7.320802 1.603183 -0.20010323 0.841399849
#> 15 7 7.230576 1.566601 -0.14718262 0.882987876
#> 16 8 7.135338 1.560096 0.55423627 0.579417162
#> 17 6 7.285714 1.626901 -0.79028449 0.429361642
#> 18 7 7.298246 1.533142 -0.19453228 0.845759125
#> 19 6 7.190476 1.598935 -0.74454330 0.456547856
#> 20 7 7.125313 1.481659 -0.08457635 0.932598201
#> 21 5 7.205514 1.620494 -1.36101353 0.173509414
#> 22 6 7.270677 1.596767 -0.79578079 0.426159461
#> 23 5 7.218045 1.480213 -1.49846354 0.134012859
#> 24 8 7.230576 1.556948 0.49418698 0.621174132
#> 25 5 7.255639 1.599250 -1.41043572 0.158411063
#> 26 4 7.225564 1.637883 -1.96934914 0.048913011
#> 27 8 7.165414 1.585964 0.52623278 0.598726484
#> 28 4 7.085213 1.470910 -2.09748664 0.035950519
#> 29 8 7.208020 1.560935 0.50737532 0.611891501
#> 30 6 7.253133 1.614502 -0.77617293 0.437646886
#> 31 8 7.052632 1.569091 0.60376888 0.545997309
#> 32 9 7.092732 1.559191 1.22324188 0.221238352
#> 33 6 7.228070 1.635232 -0.75100666 0.452648650
#> 34 6 7.080201 1.537989 -0.70234593 0.482463459
#> 35 9 7.135338 1.561705 1.19399061 0.232481641
#> 36 7 7.197995 1.669531 -0.11859320 0.905597652
#> 37 6 7.102757 1.566601 -0.70391689 0.481484530
#> 38 8 7.097744 1.685877 0.53518478 0.592522091
#> 39 6 7.348371 1.604466 -0.84038585 0.400692078
#> 40 8 7.180451 1.607932 0.50969118 0.610267833
#> 41 8 7.270677 1.556932 0.46843618 0.639472702
#> 42 7 7.095238 1.585408 -0.06007165 0.952098573
#> 43 7 7.172932 1.626622 -0.10631379 0.915333393
#> 44 9 7.092732 1.651533 1.15484739 0.248152928
#> 45 7 7.305764 1.624790 -0.18818707 0.850730009
#> 46 9 7.205514 1.623592 1.10525709 0.269048204
#> 47 6 7.210526 1.554953 -0.77849704 0.436276051
#> 48 6 7.225564 1.674295 -0.73198795 0.464175925
#> 49 6 7.240602 1.626494 -0.76274578 0.445615025
#> 50 7 7.243108 1.567107 -0.15513153 0.876717623
#> 51 6 7.140351 1.630535 -0.69937225 0.484319423
#> 52 8 7.328321 1.518719 0.44226693 0.658296060
#> 53 9 7.268170 1.538702 1.12551364 0.260371439
#> 54 6 7.210526 1.650579 -0.73339489 0.463317614
#> 55 5 7.012531 1.482678 -1.35736207 0.174666194
#> 56 8 7.315789 1.545142 0.44281403 0.657900257
#> 57 5 7.185464 1.641390 -1.33147156 0.183033896
#> 58 7 7.328321 1.580336 -0.20775378 0.835421224
#> 59 8 7.145363 1.570431 0.54420512 0.586300332
#> 60 10 7.147870 1.604231 1.77788010 0.075423549
#> 61 9 7.187970 1.620303 1.11832776 0.263427036
#> 62 9 7.127820 1.580727 1.18437969 0.236262795
#> 63 9 7.182957 1.534891 1.18382534 0.236482209
#> 64 6 7.117794 1.516628 -0.73702623 0.461106398
#> 65 5 7.228070 1.578949 -1.41110980 0.158212241
#> 66 5 7.195489 1.675085 -1.31067314 0.189968216
#> 67 8 7.273183 1.628286 0.44636949 0.655330368
#> 68 6 7.228070 1.532107 -0.80155659 0.422809500
#> 69 6 7.137845 1.645321 -0.69156383 0.489211284
#> 70 8 7.155388 1.564658 0.53980574 0.589331007
#> 71 5 7.105263 1.523335 -1.38200914 0.166968896
#> 72 6 7.285714 1.516599 -0.84776166 0.396570717
#> 73 5 7.110276 1.541020 -1.36940167 0.170873754
#> 74 3 7.350877 1.609392 -2.70342855 0.006862820
#> 75 5 7.067669 1.555645 -1.32913916 0.183802062
#> 76 7 7.275689 1.628634 -0.16927638 0.865579250
#> 77 7 7.218045 1.593036 -0.13687393 0.891130445
#> 78 4 7.253133 1.602004 -2.03066492 0.042288997
#> 79 6 7.122807 1.581125 -0.71013177 0.477622427
#> 80 9 7.185464 1.583739 1.14572914 0.251907243
#> 81 7 7.077694 1.593479 -0.04875762 0.961112455
#> 82 8 7.102757 1.610882 0.55698858 0.577535230
#> 83 7 7.230576 1.624859 -0.14190547 0.887154676
#> 84 6 7.220551 1.638567 -0.74488932 0.456338631
#> 85 8 7.200501 1.544938 0.51749563 0.604810219
#> 86 8 7.338346 1.623727 0.40749089 0.683647481
#> 87 7 7.152882 1.505162 -0.10157192 0.919096470
#> 88 5 7.248120 1.646098 -1.36572694 0.172024685
#> 89 7 7.140351 1.525446 -0.09200645 0.926692917
#> 90 9 7.298246 1.568782 1.08476147 0.278027316
#> 91 7 7.328321 1.572367 -0.20880678 0.834599077
#> 92 9 7.110276 1.513049 1.24895144 0.211682834
#> 93 6 7.230576 1.542356 -0.79785505 0.424954612
#> 94 5 7.082707 1.593226 -1.30722634 0.191135852
#> 95 7 7.208020 1.648613 -0.12617881 0.899590385
#> 96 3 7.208020 1.548004 -2.71835159 0.006560808
#> 97 5 7.308271 1.597016 -1.44536507 0.148355368
#> 98 6 7.125313 1.521813 -0.73945559 0.459630395
#> 99 9 7.240602 1.550573 1.13467625 0.256510993
#> 100 6 7.165414 1.589130 -0.73336587 0.463335311
plot(lsrq, sig = 0.1)
# \donttest{
# Case 2:Fastfood example. sf (points)
data("FastFood.sf")
# sf::sf_use_s2(FALSE)
x <- sf::st_coordinates(sf::st_centroid(FastFood.sf))
listw <- spdep::knearneigh(x, k = 10)
formula <- ~ Type
lsrq <- local.sp.runs.test(formula = formula, data = FastFood.sf, listw = listw)
print(lsrq)
#> runs.i E.i Std.i z.value p.value
#> 1 8 7.668307 1.490157 0.2225895 0.82385504
#> 2 9 7.668307 1.490157 0.8936597 0.37150400
#> 3 9 7.668307 1.490157 0.8936597 0.37150400
#> 4 8 7.668307 1.490157 0.2225895 0.82385504
#> 5 10 7.668307 1.490157 1.5647299 0.11764625
#> 6 8 7.668307 1.490157 0.2225895 0.82385504
#> 7 8 7.668307 1.490157 0.2225895 0.82385504
#> 8 7 7.668307 1.490157 -0.4484808 0.65380626
#> 9 7 7.668307 1.490157 -0.4484808 0.65380626
#> 10 7 7.668307 1.490157 -0.4484808 0.65380626
#> 11 7 7.668307 1.490157 -0.4484808 0.65380626
#> 12 8 7.668307 1.490157 0.2225895 0.82385504
#> 13 9 7.668307 1.490157 0.8936597 0.37150400
#> 14 7 7.668307 1.490157 -0.4484808 0.65380626
#> 15 10 7.668307 1.490157 1.5647299 0.11764625
#> 16 9 7.668307 1.490157 0.8936597 0.37150400
#> 17 7 7.668307 1.490157 -0.4484808 0.65380626
#> 18 9 7.668307 1.490157 0.8936597 0.37150400
#> 19 10 7.668307 1.490157 1.5647299 0.11764625
#> 20 9 7.668307 1.490157 0.8936597 0.37150400
#> 21 9 7.668307 1.490157 0.8936597 0.37150400
#> 22 10 7.668307 1.490157 1.5647299 0.11764625
#> 23 7 7.668307 1.490157 -0.4484808 0.65380626
#> 24 6 7.668307 1.490157 -1.1195510 0.26290515
#> 25 9 7.668307 1.490157 0.8936597 0.37150400
#> 26 9 7.668307 1.490157 0.8936597 0.37150400
#> 27 10 7.668307 1.490157 1.5647299 0.11764625
#> 28 8 7.668307 1.490157 0.2225895 0.82385504
#> 29 8 7.668307 1.490157 0.2225895 0.82385504
#> 30 10 7.668307 1.490157 1.5647299 0.11764625
#> 31 9 7.668307 1.490157 0.8936597 0.37150400
#> 32 8 7.668307 1.490157 0.2225895 0.82385504
#> 33 6 7.668307 1.490157 -1.1195510 0.26290515
#> 34 8 7.668307 1.490157 0.2225895 0.82385504
#> 35 8 7.668307 1.490157 0.2225895 0.82385504
#> 36 9 7.668307 1.490157 0.8936597 0.37150400
#> 37 8 7.668307 1.490157 0.2225895 0.82385504
#> 38 7 7.668307 1.490157 -0.4484808 0.65380626
#> 39 8 7.668307 1.490157 0.2225895 0.82385504
#> 40 9 7.668307 1.490157 0.8936597 0.37150400
#> 41 8 7.668307 1.490157 0.2225895 0.82385504
#> 42 9 7.668307 1.490157 0.8936597 0.37150400
#> 43 7 7.668307 1.490157 -0.4484808 0.65380626
#> 44 8 7.668307 1.490157 0.2225895 0.82385504
#> 45 8 7.668307 1.490157 0.2225895 0.82385504
#> 46 8 7.668307 1.490157 0.2225895 0.82385504
#> 47 7 7.668307 1.490157 -0.4484808 0.65380626
#> 48 6 7.668307 1.490157 -1.1195510 0.26290515
#> 49 6 7.668307 1.490157 -1.1195510 0.26290515
#> 50 8 7.668307 1.490157 0.2225895 0.82385504
#> 51 6 7.668307 1.490157 -1.1195510 0.26290515
#> 52 7 7.668307 1.490157 -0.4484808 0.65380626
#> 53 4 7.668307 1.490157 -2.4616914 0.01382836
#> 54 7 7.668307 1.490157 -0.4484808 0.65380626
#> 55 8 7.668307 1.490157 0.2225895 0.82385504
#> 56 8 7.668307 1.490157 0.2225895 0.82385504
#> 57 4 7.668307 1.490157 -2.4616914 0.01382836
#> 58 5 7.668307 1.490157 -1.7906212 0.07335410
#> 59 9 7.668307 1.490157 0.8936597 0.37150400
#> 60 11 7.668307 1.490157 2.2358001 0.02536487
#> 61 4 7.668307 1.490157 -2.4616914 0.01382836
#> 62 7 7.668307 1.490157 -0.4484808 0.65380626
#> 63 6 7.668307 1.490157 -1.1195510 0.26290515
#> 64 10 7.668307 1.490157 1.5647299 0.11764625
#> 65 9 7.668307 1.490157 0.8936597 0.37150400
#> 66 7 7.668307 1.490157 -0.4484808 0.65380626
#> 67 7 7.668307 1.490157 -0.4484808 0.65380626
#> 68 6 7.668307 1.490157 -1.1195510 0.26290515
#> 69 8 7.668307 1.490157 0.2225895 0.82385504
#> 70 10 7.668307 1.490157 1.5647299 0.11764625
#> 71 8 7.668307 1.490157 0.2225895 0.82385504
#> 72 8 7.668307 1.490157 0.2225895 0.82385504
#> 73 6 7.668307 1.490157 -1.1195510 0.26290515
#> 74 8 7.668307 1.490157 0.2225895 0.82385504
#> 75 8 7.668307 1.490157 0.2225895 0.82385504
#> 76 8 7.668307 1.490157 0.2225895 0.82385504
#> 77 10 7.668307 1.490157 1.5647299 0.11764625
#> 78 8 7.668307 1.490157 0.2225895 0.82385504
#> 79 9 7.668307 1.490157 0.8936597 0.37150400
#> 80 8 7.668307 1.490157 0.2225895 0.82385504
#> 81 8 7.668307 1.490157 0.2225895 0.82385504
#> 82 8 7.668307 1.490157 0.2225895 0.82385504
#> 83 9 7.668307 1.490157 0.8936597 0.37150400
#> 84 8 7.668307 1.490157 0.2225895 0.82385504
#> 85 9 7.668307 1.490157 0.8936597 0.37150400
#> 86 10 7.668307 1.490157 1.5647299 0.11764625
#> 87 7 7.668307 1.490157 -0.4484808 0.65380626
#> 88 9 7.668307 1.490157 0.8936597 0.37150400
#> 89 7 7.668307 1.490157 -0.4484808 0.65380626
#> 90 7 7.668307 1.490157 -0.4484808 0.65380626
#> 91 8 7.668307 1.490157 0.2225895 0.82385504
#> 92 11 7.668307 1.490157 2.2358001 0.02536487
#> 93 7 7.668307 1.490157 -0.4484808 0.65380626
#> 94 6 7.668307 1.490157 -1.1195510 0.26290515
#> 95 9 7.668307 1.490157 0.8936597 0.37150400
#> 96 8 7.668307 1.490157 0.2225895 0.82385504
#> 97 8 7.668307 1.490157 0.2225895 0.82385504
#> 98 9 7.668307 1.490157 0.8936597 0.37150400
#> 99 10 7.668307 1.490157 1.5647299 0.11764625
#> 100 10 7.668307 1.490157 1.5647299 0.11764625
#> 101 9 7.668307 1.490157 0.8936597 0.37150400
#> 102 7 7.668307 1.490157 -0.4484808 0.65380626
#> 103 10 7.668307 1.490157 1.5647299 0.11764625
#> 104 10 7.668307 1.490157 1.5647299 0.11764625
#> 105 9 7.668307 1.490157 0.8936597 0.37150400
#> 106 10 7.668307 1.490157 1.5647299 0.11764625
#> 107 7 7.668307 1.490157 -0.4484808 0.65380626
#> 108 8 7.668307 1.490157 0.2225895 0.82385504
#> 109 10 7.668307 1.490157 1.5647299 0.11764625
#> 110 7 7.668307 1.490157 -0.4484808 0.65380626
#> 111 11 7.668307 1.490157 2.2358001 0.02536487
#> 112 7 7.668307 1.490157 -0.4484808 0.65380626
#> 113 9 7.668307 1.490157 0.8936597 0.37150400
#> 114 10 7.668307 1.490157 1.5647299 0.11764625
#> 115 5 7.668307 1.490157 -1.7906212 0.07335410
#> 116 7 7.668307 1.490157 -0.4484808 0.65380626
#> 117 8 7.668307 1.490157 0.2225895 0.82385504
#> 118 9 7.668307 1.490157 0.8936597 0.37150400
#> 119 7 7.668307 1.490157 -0.4484808 0.65380626
#> 120 9 7.668307 1.490157 0.8936597 0.37150400
#> 121 9 7.668307 1.490157 0.8936597 0.37150400
#> 122 3 7.668307 1.490157 -3.1327617 0.00173170
#> 123 7 7.668307 1.490157 -0.4484808 0.65380626
#> 124 9 7.668307 1.490157 0.8936597 0.37150400
#> 125 9 7.668307 1.490157 0.8936597 0.37150400
#> 126 7 7.668307 1.490157 -0.4484808 0.65380626
#> 127 7 7.668307 1.490157 -0.4484808 0.65380626
#> 128 10 7.668307 1.490157 1.5647299 0.11764625
#> 129 9 7.668307 1.490157 0.8936597 0.37150400
#> 130 8 7.668307 1.490157 0.2225895 0.82385504
#> 131 6 7.668307 1.490157 -1.1195510 0.26290515
#> 132 9 7.668307 1.490157 0.8936597 0.37150400
#> 133 8 7.668307 1.490157 0.2225895 0.82385504
#> 134 9 7.668307 1.490157 0.8936597 0.37150400
#> 135 8 7.668307 1.490157 0.2225895 0.82385504
#> 136 7 7.668307 1.490157 -0.4484808 0.65380626
#> 137 5 7.668307 1.490157 -1.7906212 0.07335410
#> 138 9 7.668307 1.490157 0.8936597 0.37150400
#> 139 8 7.668307 1.490157 0.2225895 0.82385504
#> 140 8 7.668307 1.490157 0.2225895 0.82385504
#> 141 7 7.668307 1.490157 -0.4484808 0.65380626
#> 142 7 7.668307 1.490157 -0.4484808 0.65380626
#> 143 10 7.668307 1.490157 1.5647299 0.11764625
#> 144 8 7.668307 1.490157 0.2225895 0.82385504
#> 145 9 7.668307 1.490157 0.8936597 0.37150400
#> 146 7 7.668307 1.490157 -0.4484808 0.65380626
#> 147 9 7.668307 1.490157 0.8936597 0.37150400
#> 148 9 7.668307 1.490157 0.8936597 0.37150400
#> 149 9 7.668307 1.490157 0.8936597 0.37150400
#> 150 8 7.668307 1.490157 0.2225895 0.82385504
#> 151 9 7.668307 1.490157 0.8936597 0.37150400
#> 152 7 7.668307 1.490157 -0.4484808 0.65380626
#> 153 7 7.668307 1.490157 -0.4484808 0.65380626
#> 154 9 7.668307 1.490157 0.8936597 0.37150400
#> 155 9 7.668307 1.490157 0.8936597 0.37150400
#> 156 9 7.668307 1.490157 0.8936597 0.37150400
#> 157 10 7.668307 1.490157 1.5647299 0.11764625
#> 158 8 7.668307 1.490157 0.2225895 0.82385504
#> 159 8 7.668307 1.490157 0.2225895 0.82385504
#> 160 8 7.668307 1.490157 0.2225895 0.82385504
#> 161 8 7.668307 1.490157 0.2225895 0.82385504
#> 162 9 7.668307 1.490157 0.8936597 0.37150400
#> 163 8 7.668307 1.490157 0.2225895 0.82385504
#> 164 10 7.668307 1.490157 1.5647299 0.11764625
#> 165 8 7.668307 1.490157 0.2225895 0.82385504
#> 166 8 7.668307 1.490157 0.2225895 0.82385504
#> 167 10 7.668307 1.490157 1.5647299 0.11764625
#> 168 8 7.668307 1.490157 0.2225895 0.82385504
#> 169 6 7.668307 1.490157 -1.1195510 0.26290515
#> 170 9 7.668307 1.490157 0.8936597 0.37150400
#> 171 9 7.668307 1.490157 0.8936597 0.37150400
#> 172 9 7.668307 1.490157 0.8936597 0.37150400
#> 173 7 7.668307 1.490157 -0.4484808 0.65380626
#> 174 9 7.668307 1.490157 0.8936597 0.37150400
#> 175 7 7.668307 1.490157 -0.4484808 0.65380626
#> 176 10 7.668307 1.490157 1.5647299 0.11764625
#> 177 9 7.668307 1.490157 0.8936597 0.37150400
#> 178 7 7.668307 1.490157 -0.4484808 0.65380626
#> 179 7 7.668307 1.490157 -0.4484808 0.65380626
#> 180 10 7.668307 1.490157 1.5647299 0.11764625
#> 181 8 7.668307 1.490157 0.2225895 0.82385504
#> 182 11 7.668307 1.490157 2.2358001 0.02536487
#> 183 8 7.668307 1.490157 0.2225895 0.82385504
#> 184 8 7.668307 1.490157 0.2225895 0.82385504
#> 185 9 7.668307 1.490157 0.8936597 0.37150400
#> 186 4 7.668307 1.490157 -2.4616914 0.01382836
#> 187 8 7.668307 1.490157 0.2225895 0.82385504
#> 188 7 7.668307 1.490157 -0.4484808 0.65380626
#> 189 9 7.668307 1.490157 0.8936597 0.37150400
#> 190 8 7.668307 1.490157 0.2225895 0.82385504
#> 191 9 7.668307 1.490157 0.8936597 0.37150400
#> 192 8 7.668307 1.490157 0.2225895 0.82385504
#> 193 7 7.668307 1.490157 -0.4484808 0.65380626
#> 194 9 7.668307 1.490157 0.8936597 0.37150400
#> 195 10 7.668307 1.490157 1.5647299 0.11764625
#> 196 8 7.668307 1.490157 0.2225895 0.82385504
#> 197 8 7.668307 1.490157 0.2225895 0.82385504
#> 198 10 7.668307 1.490157 1.5647299 0.11764625
#> 199 7 7.668307 1.490157 -0.4484808 0.65380626
#> 200 10 7.668307 1.490157 1.5647299 0.11764625
#> 201 7 7.668307 1.490157 -0.4484808 0.65380626
#> 202 8 7.668307 1.490157 0.2225895 0.82385504
#> 203 7 7.668307 1.490157 -0.4484808 0.65380626
#> 204 9 7.668307 1.490157 0.8936597 0.37150400
#> 205 7 7.668307 1.490157 -0.4484808 0.65380626
#> 206 8 7.668307 1.490157 0.2225895 0.82385504
#> 207 7 7.668307 1.490157 -0.4484808 0.65380626
#> 208 8 7.668307 1.490157 0.2225895 0.82385504
#> 209 6 7.668307 1.490157 -1.1195510 0.26290515
#> 210 8 7.668307 1.490157 0.2225895 0.82385504
#> 211 9 7.668307 1.490157 0.8936597 0.37150400
#> 212 8 7.668307 1.490157 0.2225895 0.82385504
#> 213 10 7.668307 1.490157 1.5647299 0.11764625
#> 214 7 7.668307 1.490157 -0.4484808 0.65380626
#> 215 8 7.668307 1.490157 0.2225895 0.82385504
#> 216 7 7.668307 1.490157 -0.4484808 0.65380626
#> 217 8 7.668307 1.490157 0.2225895 0.82385504
#> 218 9 7.668307 1.490157 0.8936597 0.37150400
#> 219 7 7.668307 1.490157 -0.4484808 0.65380626
#> 220 8 7.668307 1.490157 0.2225895 0.82385504
#> 221 6 7.668307 1.490157 -1.1195510 0.26290515
#> 222 9 7.668307 1.490157 0.8936597 0.37150400
#> 223 7 7.668307 1.490157 -0.4484808 0.65380626
#> 224 4 7.668307 1.490157 -2.4616914 0.01382836
#> 225 11 7.668307 1.490157 2.2358001 0.02536487
#> 226 6 7.668307 1.490157 -1.1195510 0.26290515
#> 227 9 7.668307 1.490157 0.8936597 0.37150400
#> 228 6 7.668307 1.490157 -1.1195510 0.26290515
#> 229 6 7.668307 1.490157 -1.1195510 0.26290515
#> 230 7 7.668307 1.490157 -0.4484808 0.65380626
#> 231 7 7.668307 1.490157 -0.4484808 0.65380626
#> 232 7 7.668307 1.490157 -0.4484808 0.65380626
#> 233 6 7.668307 1.490157 -1.1195510 0.26290515
#> 234 7 7.668307 1.490157 -0.4484808 0.65380626
#> 235 8 7.668307 1.490157 0.2225895 0.82385504
#> 236 9 7.668307 1.490157 0.8936597 0.37150400
#> 237 6 7.668307 1.490157 -1.1195510 0.26290515
#> 238 10 7.668307 1.490157 1.5647299 0.11764625
#> 239 10 7.668307 1.490157 1.5647299 0.11764625
#> 240 10 7.668307 1.490157 1.5647299 0.11764625
#> 241 11 7.668307 1.490157 2.2358001 0.02536487
#> 242 11 7.668307 1.490157 2.2358001 0.02536487
#> 243 6 7.668307 1.490157 -1.1195510 0.26290515
#> 244 8 7.668307 1.490157 0.2225895 0.82385504
#> 245 7 7.668307 1.490157 -0.4484808 0.65380626
#> 246 7 7.668307 1.490157 -0.4484808 0.65380626
#> 247 9 7.668307 1.490157 0.8936597 0.37150400
#> 248 9 7.668307 1.490157 0.8936597 0.37150400
#> 249 7 7.668307 1.490157 -0.4484808 0.65380626
#> 250 9 7.668307 1.490157 0.8936597 0.37150400
#> 251 9 7.668307 1.490157 0.8936597 0.37150400
#> 252 6 7.668307 1.490157 -1.1195510 0.26290515
#> 253 7 7.668307 1.490157 -0.4484808 0.65380626
#> 254 10 7.668307 1.490157 1.5647299 0.11764625
#> 255 5 7.668307 1.490157 -1.7906212 0.07335410
#> 256 5 7.668307 1.490157 -1.7906212 0.07335410
#> 257 10 7.668307 1.490157 1.5647299 0.11764625
#> 258 8 7.668307 1.490157 0.2225895 0.82385504
#> 259 9 7.668307 1.490157 0.8936597 0.37150400
#> 260 7 7.668307 1.490157 -0.4484808 0.65380626
#> 261 10 7.668307 1.490157 1.5647299 0.11764625
#> 262 6 7.668307 1.490157 -1.1195510 0.26290515
#> 263 8 7.668307 1.490157 0.2225895 0.82385504
#> 264 6 7.668307 1.490157 -1.1195510 0.26290515
#> 265 7 7.668307 1.490157 -0.4484808 0.65380626
#> 266 7 7.668307 1.490157 -0.4484808 0.65380626
#> 267 7 7.668307 1.490157 -0.4484808 0.65380626
#> 268 9 7.668307 1.490157 0.8936597 0.37150400
#> 269 6 7.668307 1.490157 -1.1195510 0.26290515
#> 270 7 7.668307 1.490157 -0.4484808 0.65380626
#> 271 7 7.668307 1.490157 -0.4484808 0.65380626
#> 272 8 7.668307 1.490157 0.2225895 0.82385504
#> 273 8 7.668307 1.490157 0.2225895 0.82385504
#> 274 10 7.668307 1.490157 1.5647299 0.11764625
#> 275 5 7.668307 1.490157 -1.7906212 0.07335410
#> 276 7 7.668307 1.490157 -0.4484808 0.65380626
#> 277 10 7.668307 1.490157 1.5647299 0.11764625
#> 278 7 7.668307 1.490157 -0.4484808 0.65380626
#> 279 8 7.668307 1.490157 0.2225895 0.82385504
#> 280 7 7.668307 1.490157 -0.4484808 0.65380626
#> 281 7 7.668307 1.490157 -0.4484808 0.65380626
#> 282 8 7.668307 1.490157 0.2225895 0.82385504
#> 283 8 7.668307 1.490157 0.2225895 0.82385504
#> 284 9 7.668307 1.490157 0.8936597 0.37150400
#> 285 10 7.668307 1.490157 1.5647299 0.11764625
#> 286 8 7.668307 1.490157 0.2225895 0.82385504
#> 287 8 7.668307 1.490157 0.2225895 0.82385504
#> 288 9 7.668307 1.490157 0.8936597 0.37150400
#> 289 9 7.668307 1.490157 0.8936597 0.37150400
#> 290 10 7.668307 1.490157 1.5647299 0.11764625
#> 291 9 7.668307 1.490157 0.8936597 0.37150400
#> 292 9 7.668307 1.490157 0.8936597 0.37150400
#> 293 10 7.668307 1.490157 1.5647299 0.11764625
#> 294 8 7.668307 1.490157 0.2225895 0.82385504
#> 295 10 7.668307 1.490157 1.5647299 0.11764625
#> 296 8 7.668307 1.490157 0.2225895 0.82385504
#> 297 10 7.668307 1.490157 1.5647299 0.11764625
#> 298 8 7.668307 1.490157 0.2225895 0.82385504
#> 299 9 7.668307 1.490157 0.8936597 0.37150400
#> 300 9 7.668307 1.490157 0.8936597 0.37150400
#> 301 9 7.668307 1.490157 0.8936597 0.37150400
#> 302 7 7.668307 1.490157 -0.4484808 0.65380626
#> 303 7 7.668307 1.490157 -0.4484808 0.65380626
#> 304 9 7.668307 1.490157 0.8936597 0.37150400
#> 305 8 7.668307 1.490157 0.2225895 0.82385504
#> 306 10 7.668307 1.490157 1.5647299 0.11764625
#> 307 9 7.668307 1.490157 0.8936597 0.37150400
#> 308 6 7.668307 1.490157 -1.1195510 0.26290515
#> 309 8 7.668307 1.490157 0.2225895 0.82385504
#> 310 7 7.668307 1.490157 -0.4484808 0.65380626
#> 311 8 7.668307 1.490157 0.2225895 0.82385504
#> 312 8 7.668307 1.490157 0.2225895 0.82385504
#> 313 9 7.668307 1.490157 0.8936597 0.37150400
#> 314 4 7.668307 1.490157 -2.4616914 0.01382836
#> 315 6 7.668307 1.490157 -1.1195510 0.26290515
#> 316 7 7.668307 1.490157 -0.4484808 0.65380626
#> 317 8 7.668307 1.490157 0.2225895 0.82385504
#> 318 9 7.668307 1.490157 0.8936597 0.37150400
#> 319 8 7.668307 1.490157 0.2225895 0.82385504
#> 320 9 7.668307 1.490157 0.8936597 0.37150400
#> 321 7 7.668307 1.490157 -0.4484808 0.65380626
#> 322 9 7.668307 1.490157 0.8936597 0.37150400
#> 323 9 7.668307 1.490157 0.8936597 0.37150400
#> 324 9 7.668307 1.490157 0.8936597 0.37150400
#> 325 9 7.668307 1.490157 0.8936597 0.37150400
#> 326 5 7.668307 1.490157 -1.7906212 0.07335410
#> 327 6 7.668307 1.490157 -1.1195510 0.26290515
#> 328 8 7.668307 1.490157 0.2225895 0.82385504
#> 329 9 7.668307 1.490157 0.8936597 0.37150400
#> 330 10 7.668307 1.490157 1.5647299 0.11764625
#> 331 8 7.668307 1.490157 0.2225895 0.82385504
#> 332 8 7.668307 1.490157 0.2225895 0.82385504
#> 333 9 7.668307 1.490157 0.8936597 0.37150400
#> 334 8 7.668307 1.490157 0.2225895 0.82385504
#> 335 7 7.668307 1.490157 -0.4484808 0.65380626
#> 336 5 7.668307 1.490157 -1.7906212 0.07335410
#> 337 6 7.668307 1.490157 -1.1195510 0.26290515
#> 338 9 7.668307 1.490157 0.8936597 0.37150400
#> 339 8 7.668307 1.490157 0.2225895 0.82385504
#> 340 6 7.668307 1.490157 -1.1195510 0.26290515
#> 341 6 7.668307 1.490157 -1.1195510 0.26290515
#> 342 11 7.668307 1.490157 2.2358001 0.02536487
#> 343 9 7.668307 1.490157 0.8936597 0.37150400
#> 344 11 7.668307 1.490157 2.2358001 0.02536487
#> 345 9 7.668307 1.490157 0.8936597 0.37150400
#> 346 8 7.668307 1.490157 0.2225895 0.82385504
#> 347 9 7.668307 1.490157 0.8936597 0.37150400
#> 348 8 7.668307 1.490157 0.2225895 0.82385504
#> 349 11 7.668307 1.490157 2.2358001 0.02536487
#> 350 9 7.668307 1.490157 0.8936597 0.37150400
#> 351 9 7.668307 1.490157 0.8936597 0.37150400
#> 352 9 7.668307 1.490157 0.8936597 0.37150400
#> 353 7 7.668307 1.490157 -0.4484808 0.65380626
#> 354 9 7.668307 1.490157 0.8936597 0.37150400
#> 355 8 7.668307 1.490157 0.2225895 0.82385504
#> 356 11 7.668307 1.490157 2.2358001 0.02536487
#> 357 8 7.668307 1.490157 0.2225895 0.82385504
#> 358 9 7.668307 1.490157 0.8936597 0.37150400
#> 359 9 7.668307 1.490157 0.8936597 0.37150400
#> 360 9 7.668307 1.490157 0.8936597 0.37150400
#> 361 9 7.668307 1.490157 0.8936597 0.37150400
#> 362 8 7.668307 1.490157 0.2225895 0.82385504
#> 363 9 7.668307 1.490157 0.8936597 0.37150400
#> 364 6 7.668307 1.490157 -1.1195510 0.26290515
#> 365 10 7.668307 1.490157 1.5647299 0.11764625
#> 366 8 7.668307 1.490157 0.2225895 0.82385504
#> 367 10 7.668307 1.490157 1.5647299 0.11764625
#> 368 10 7.668307 1.490157 1.5647299 0.11764625
#> 369 7 7.668307 1.490157 -0.4484808 0.65380626
#> 370 8 7.668307 1.490157 0.2225895 0.82385504
#> 371 8 7.668307 1.490157 0.2225895 0.82385504
#> 372 9 7.668307 1.490157 0.8936597 0.37150400
#> 373 9 7.668307 1.490157 0.8936597 0.37150400
#> 374 10 7.668307 1.490157 1.5647299 0.11764625
#> 375 9 7.668307 1.490157 0.8936597 0.37150400
#> 376 8 7.668307 1.490157 0.2225895 0.82385504
#> 377 10 7.668307 1.490157 1.5647299 0.11764625
#> 378 8 7.668307 1.490157 0.2225895 0.82385504
#> 379 8 7.668307 1.490157 0.2225895 0.82385504
#> 380 8 7.668307 1.490157 0.2225895 0.82385504
#> 381 7 7.668307 1.490157 -0.4484808 0.65380626
#> 382 6 7.668307 1.490157 -1.1195510 0.26290515
#> 383 8 7.668307 1.490157 0.2225895 0.82385504
#> 384 10 7.668307 1.490157 1.5647299 0.11764625
#> 385 7 7.668307 1.490157 -0.4484808 0.65380626
#> 386 9 7.668307 1.490157 0.8936597 0.37150400
#> 387 8 7.668307 1.490157 0.2225895 0.82385504
#> 388 9 7.668307 1.490157 0.8936597 0.37150400
#> 389 8 7.668307 1.490157 0.2225895 0.82385504
#> 390 7 7.668307 1.490157 -0.4484808 0.65380626
#> 391 4 7.668307 1.490157 -2.4616914 0.01382836
#> 392 10 7.668307 1.490157 1.5647299 0.11764625
#> 393 6 7.668307 1.490157 -1.1195510 0.26290515
#> 394 8 7.668307 1.490157 0.2225895 0.82385504
#> 395 8 7.668307 1.490157 0.2225895 0.82385504
#> 396 7 7.668307 1.490157 -0.4484808 0.65380626
#> 397 8 7.668307 1.490157 0.2225895 0.82385504
#> 398 8 7.668307 1.490157 0.2225895 0.82385504
#> 399 9 7.668307 1.490157 0.8936597 0.37150400
#> 400 9 7.668307 1.490157 0.8936597 0.37150400
#> 401 9 7.668307 1.490157 0.8936597 0.37150400
#> 402 9 7.668307 1.490157 0.8936597 0.37150400
#> 403 9 7.668307 1.490157 0.8936597 0.37150400
#> 404 8 7.668307 1.490157 0.2225895 0.82385504
#> 405 5 7.668307 1.490157 -1.7906212 0.07335410
#> 406 7 7.668307 1.490157 -0.4484808 0.65380626
#> 407 8 7.668307 1.490157 0.2225895 0.82385504
#> 408 8 7.668307 1.490157 0.2225895 0.82385504
#> 409 8 7.668307 1.490157 0.2225895 0.82385504
#> 410 8 7.668307 1.490157 0.2225895 0.82385504
#> 411 8 7.668307 1.490157 0.2225895 0.82385504
#> 412 7 7.668307 1.490157 -0.4484808 0.65380626
#> 413 8 7.668307 1.490157 0.2225895 0.82385504
#> 414 10 7.668307 1.490157 1.5647299 0.11764625
#> 415 8 7.668307 1.490157 0.2225895 0.82385504
#> 416 9 7.668307 1.490157 0.8936597 0.37150400
#> 417 9 7.668307 1.490157 0.8936597 0.37150400
#> 418 8 7.668307 1.490157 0.2225895 0.82385504
#> 419 9 7.668307 1.490157 0.8936597 0.37150400
#> 420 8 7.668307 1.490157 0.2225895 0.82385504
#> 421 11 7.668307 1.490157 2.2358001 0.02536487
#> 422 7 7.668307 1.490157 -0.4484808 0.65380626
#> 423 6 7.668307 1.490157 -1.1195510 0.26290515
#> 424 8 7.668307 1.490157 0.2225895 0.82385504
#> 425 9 7.668307 1.490157 0.8936597 0.37150400
#> 426 5 7.668307 1.490157 -1.7906212 0.07335410
#> 427 9 7.668307 1.490157 0.8936597 0.37150400
#> 428 9 7.668307 1.490157 0.8936597 0.37150400
#> 429 11 7.668307 1.490157 2.2358001 0.02536487
#> 430 8 7.668307 1.490157 0.2225895 0.82385504
#> 431 7 7.668307 1.490157 -0.4484808 0.65380626
#> 432 7 7.668307 1.490157 -0.4484808 0.65380626
#> 433 7 7.668307 1.490157 -0.4484808 0.65380626
#> 434 9 7.668307 1.490157 0.8936597 0.37150400
#> 435 9 7.668307 1.490157 0.8936597 0.37150400
#> 436 8 7.668307 1.490157 0.2225895 0.82385504
#> 437 10 7.668307 1.490157 1.5647299 0.11764625
#> 438 9 7.668307 1.490157 0.8936597 0.37150400
#> 439 10 7.668307 1.490157 1.5647299 0.11764625
#> 440 8 7.668307 1.490157 0.2225895 0.82385504
#> 441 10 7.668307 1.490157 1.5647299 0.11764625
#> 442 9 7.668307 1.490157 0.8936597 0.37150400
#> 443 7 7.668307 1.490157 -0.4484808 0.65380626
#> 444 8 7.668307 1.490157 0.2225895 0.82385504
#> 445 10 7.668307 1.490157 1.5647299 0.11764625
#> 446 8 7.668307 1.490157 0.2225895 0.82385504
#> 447 5 7.668307 1.490157 -1.7906212 0.07335410
#> 448 6 7.668307 1.490157 -1.1195510 0.26290515
#> 449 8 7.668307 1.490157 0.2225895 0.82385504
#> 450 8 7.668307 1.490157 0.2225895 0.82385504
#> 451 8 7.668307 1.490157 0.2225895 0.82385504
#> 452 8 7.668307 1.490157 0.2225895 0.82385504
#> 453 9 7.668307 1.490157 0.8936597 0.37150400
#> 454 10 7.668307 1.490157 1.5647299 0.11764625
#> 455 10 7.668307 1.490157 1.5647299 0.11764625
#> 456 8 7.668307 1.490157 0.2225895 0.82385504
#> 457 7 7.668307 1.490157 -0.4484808 0.65380626
#> 458 7 7.668307 1.490157 -0.4484808 0.65380626
#> 459 9 7.668307 1.490157 0.8936597 0.37150400
#> 460 9 7.668307 1.490157 0.8936597 0.37150400
#> 461 6 7.668307 1.490157 -1.1195510 0.26290515
#> 462 5 7.668307 1.490157 -1.7906212 0.07335410
#> 463 10 7.668307 1.490157 1.5647299 0.11764625
#> 464 8 7.668307 1.490157 0.2225895 0.82385504
#> 465 8 7.668307 1.490157 0.2225895 0.82385504
#> 466 7 7.668307 1.490157 -0.4484808 0.65380626
#> 467 6 7.668307 1.490157 -1.1195510 0.26290515
#> 468 9 7.668307 1.490157 0.8936597 0.37150400
#> 469 8 7.668307 1.490157 0.2225895 0.82385504
#> 470 8 7.668307 1.490157 0.2225895 0.82385504
#> 471 8 7.668307 1.490157 0.2225895 0.82385504
#> 472 7 7.668307 1.490157 -0.4484808 0.65380626
#> 473 10 7.668307 1.490157 1.5647299 0.11764625
#> 474 8 7.668307 1.490157 0.2225895 0.82385504
#> 475 9 7.668307 1.490157 0.8936597 0.37150400
#> 476 10 7.668307 1.490157 1.5647299 0.11764625
#> 477 7 7.668307 1.490157 -0.4484808 0.65380626
#> 478 4 7.668307 1.490157 -2.4616914 0.01382836
#> 479 6 7.668307 1.490157 -1.1195510 0.26290515
#> 480 8 7.668307 1.490157 0.2225895 0.82385504
#> 481 8 7.668307 1.490157 0.2225895 0.82385504
#> 482 8 7.668307 1.490157 0.2225895 0.82385504
#> 483 7 7.668307 1.490157 -0.4484808 0.65380626
#> 484 7 7.668307 1.490157 -0.4484808 0.65380626
#> 485 6 7.668307 1.490157 -1.1195510 0.26290515
#> 486 8 7.668307 1.490157 0.2225895 0.82385504
#> 487 9 7.668307 1.490157 0.8936597 0.37150400
#> 488 8 7.668307 1.490157 0.2225895 0.82385504
#> 489 10 7.668307 1.490157 1.5647299 0.11764625
#> 490 10 7.668307 1.490157 1.5647299 0.11764625
#> 491 8 7.668307 1.490157 0.2225895 0.82385504
#> 492 6 7.668307 1.490157 -1.1195510 0.26290515
#> 493 9 7.668307 1.490157 0.8936597 0.37150400
#> 494 6 7.668307 1.490157 -1.1195510 0.26290515
#> 495 7 7.668307 1.490157 -0.4484808 0.65380626
#> 496 9 7.668307 1.490157 0.8936597 0.37150400
#> 497 8 7.668307 1.490157 0.2225895 0.82385504
#> 498 6 7.668307 1.490157 -1.1195510 0.26290515
#> 499 7 7.668307 1.490157 -0.4484808 0.65380626
#> 500 8 7.668307 1.490157 0.2225895 0.82385504
#> 501 9 7.668307 1.490157 0.8936597 0.37150400
#> 502 10 7.668307 1.490157 1.5647299 0.11764625
#> 503 7 7.668307 1.490157 -0.4484808 0.65380626
#> 504 5 7.668307 1.490157 -1.7906212 0.07335410
#> 505 9 7.668307 1.490157 0.8936597 0.37150400
#> 506 7 7.668307 1.490157 -0.4484808 0.65380626
#> 507 6 7.668307 1.490157 -1.1195510 0.26290515
#> 508 10 7.668307 1.490157 1.5647299 0.11764625
#> 509 8 7.668307 1.490157 0.2225895 0.82385504
#> 510 7 7.668307 1.490157 -0.4484808 0.65380626
#> 511 8 7.668307 1.490157 0.2225895 0.82385504
#> 512 10 7.668307 1.490157 1.5647299 0.11764625
#> 513 9 7.668307 1.490157 0.8936597 0.37150400
#> 514 9 7.668307 1.490157 0.8936597 0.37150400
#> 515 10 7.668307 1.490157 1.5647299 0.11764625
#> 516 11 7.668307 1.490157 2.2358001 0.02536487
#> 517 7 7.668307 1.490157 -0.4484808 0.65380626
#> 518 7 7.668307 1.490157 -0.4484808 0.65380626
#> 519 9 7.668307 1.490157 0.8936597 0.37150400
#> 520 9 7.668307 1.490157 0.8936597 0.37150400
#> 521 7 7.668307 1.490157 -0.4484808 0.65380626
#> 522 6 7.668307 1.490157 -1.1195510 0.26290515
#> 523 10 7.668307 1.490157 1.5647299 0.11764625
#> 524 8 7.668307 1.490157 0.2225895 0.82385504
#> 525 10 7.668307 1.490157 1.5647299 0.11764625
#> 526 7 7.668307 1.490157 -0.4484808 0.65380626
#> 527 6 7.668307 1.490157 -1.1195510 0.26290515
#> 528 7 7.668307 1.490157 -0.4484808 0.65380626
#> 529 9 7.668307 1.490157 0.8936597 0.37150400
#> 530 6 7.668307 1.490157 -1.1195510 0.26290515
#> 531 9 7.668307 1.490157 0.8936597 0.37150400
#> 532 10 7.668307 1.490157 1.5647299 0.11764625
#> 533 10 7.668307 1.490157 1.5647299 0.11764625
#> 534 8 7.668307 1.490157 0.2225895 0.82385504
#> 535 10 7.668307 1.490157 1.5647299 0.11764625
#> 536 8 7.668307 1.490157 0.2225895 0.82385504
#> 537 9 7.668307 1.490157 0.8936597 0.37150400
#> 538 8 7.668307 1.490157 0.2225895 0.82385504
#> 539 8 7.668307 1.490157 0.2225895 0.82385504
#> 540 8 7.668307 1.490157 0.2225895 0.82385504
#> 541 9 7.668307 1.490157 0.8936597 0.37150400
#> 542 9 7.668307 1.490157 0.8936597 0.37150400
#> 543 8 7.668307 1.490157 0.2225895 0.82385504
#> 544 8 7.668307 1.490157 0.2225895 0.82385504
#> 545 8 7.668307 1.490157 0.2225895 0.82385504
#> 546 9 7.668307 1.490157 0.8936597 0.37150400
#> 547 9 7.668307 1.490157 0.8936597 0.37150400
#> 548 8 7.668307 1.490157 0.2225895 0.82385504
#> 549 7 7.668307 1.490157 -0.4484808 0.65380626
#> 550 10 7.668307 1.490157 1.5647299 0.11764625
#> 551 10 7.668307 1.490157 1.5647299 0.11764625
#> 552 9 7.668307 1.490157 0.8936597 0.37150400
#> 553 10 7.668307 1.490157 1.5647299 0.11764625
#> 554 9 7.668307 1.490157 0.8936597 0.37150400
#> 555 8 7.668307 1.490157 0.2225895 0.82385504
#> 556 8 7.668307 1.490157 0.2225895 0.82385504
#> 557 10 7.668307 1.490157 1.5647299 0.11764625
#> 558 7 7.668307 1.490157 -0.4484808 0.65380626
#> 559 9 7.668307 1.490157 0.8936597 0.37150400
#> 560 8 7.668307 1.490157 0.2225895 0.82385504
#> 561 9 7.668307 1.490157 0.8936597 0.37150400
#> 562 9 7.668307 1.490157 0.8936597 0.37150400
#> 563 8 7.668307 1.490157 0.2225895 0.82385504
#> 564 9 7.668307 1.490157 0.8936597 0.37150400
#> 565 6 7.668307 1.490157 -1.1195510 0.26290515
#> 566 10 7.668307 1.490157 1.5647299 0.11764625
#> 567 10 7.668307 1.490157 1.5647299 0.11764625
#> 568 10 7.668307 1.490157 1.5647299 0.11764625
#> 569 10 7.668307 1.490157 1.5647299 0.11764625
#> 570 8 7.668307 1.490157 0.2225895 0.82385504
#> 571 9 7.668307 1.490157 0.8936597 0.37150400
#> 572 6 7.668307 1.490157 -1.1195510 0.26290515
#> 573 9 7.668307 1.490157 0.8936597 0.37150400
#> 574 9 7.668307 1.490157 0.8936597 0.37150400
#> 575 9 7.668307 1.490157 0.8936597 0.37150400
#> 576 8 7.668307 1.490157 0.2225895 0.82385504
#> 577 10 7.668307 1.490157 1.5647299 0.11764625
#> 578 7 7.668307 1.490157 -0.4484808 0.65380626
#> 579 8 7.668307 1.490157 0.2225895 0.82385504
#> 580 7 7.668307 1.490157 -0.4484808 0.65380626
#> 581 8 7.668307 1.490157 0.2225895 0.82385504
#> 582 10 7.668307 1.490157 1.5647299 0.11764625
#> 583 7 7.668307 1.490157 -0.4484808 0.65380626
#> 584 9 7.668307 1.490157 0.8936597 0.37150400
#> 585 7 7.668307 1.490157 -0.4484808 0.65380626
#> 586 5 7.668307 1.490157 -1.7906212 0.07335410
#> 587 6 7.668307 1.490157 -1.1195510 0.26290515
#> 588 6 7.668307 1.490157 -1.1195510 0.26290515
#> 589 7 7.668307 1.490157 -0.4484808 0.65380626
#> 590 10 7.668307 1.490157 1.5647299 0.11764625
#> 591 7 7.668307 1.490157 -0.4484808 0.65380626
#> 592 8 7.668307 1.490157 0.2225895 0.82385504
#> 593 9 7.668307 1.490157 0.8936597 0.37150400
#> 594 9 7.668307 1.490157 0.8936597 0.37150400
#> 595 10 7.668307 1.490157 1.5647299 0.11764625
#> 596 9 7.668307 1.490157 0.8936597 0.37150400
#> 597 5 7.668307 1.490157 -1.7906212 0.07335410
#> 598 9 7.668307 1.490157 0.8936597 0.37150400
#> 599 10 7.668307 1.490157 1.5647299 0.11764625
#> 600 6 7.668307 1.490157 -1.1195510 0.26290515
#> 601 5 7.668307 1.490157 -1.7906212 0.07335410
#> 602 8 7.668307 1.490157 0.2225895 0.82385504
#> 603 9 7.668307 1.490157 0.8936597 0.37150400
#> 604 10 7.668307 1.490157 1.5647299 0.11764625
#> 605 8 7.668307 1.490157 0.2225895 0.82385504
#> 606 8 7.668307 1.490157 0.2225895 0.82385504
#> 607 4 7.668307 1.490157 -2.4616914 0.01382836
#> 608 9 7.668307 1.490157 0.8936597 0.37150400
#> 609 8 7.668307 1.490157 0.2225895 0.82385504
#> 610 9 7.668307 1.490157 0.8936597 0.37150400
#> 611 10 7.668307 1.490157 1.5647299 0.11764625
#> 612 7 7.668307 1.490157 -0.4484808 0.65380626
#> 613 8 7.668307 1.490157 0.2225895 0.82385504
#> 614 9 7.668307 1.490157 0.8936597 0.37150400
#> 615 7 7.668307 1.490157 -0.4484808 0.65380626
#> 616 6 7.668307 1.490157 -1.1195510 0.26290515
#> 617 4 7.668307 1.490157 -2.4616914 0.01382836
#> 618 6 7.668307 1.490157 -1.1195510 0.26290515
#> 619 6 7.668307 1.490157 -1.1195510 0.26290515
#> 620 8 7.668307 1.490157 0.2225895 0.82385504
#> 621 8 7.668307 1.490157 0.2225895 0.82385504
#> 622 7 7.668307 1.490157 -0.4484808 0.65380626
#> 623 5 7.668307 1.490157 -1.7906212 0.07335410
#> 624 6 7.668307 1.490157 -1.1195510 0.26290515
#> 625 9 7.668307 1.490157 0.8936597 0.37150400
#> 626 8 7.668307 1.490157 0.2225895 0.82385504
#> 627 7 7.668307 1.490157 -0.4484808 0.65380626
#> 628 9 7.668307 1.490157 0.8936597 0.37150400
#> 629 9 7.668307 1.490157 0.8936597 0.37150400
#> 630 7 7.668307 1.490157 -0.4484808 0.65380626
#> 631 8 7.668307 1.490157 0.2225895 0.82385504
#> 632 8 7.668307 1.490157 0.2225895 0.82385504
#> 633 9 7.668307 1.490157 0.8936597 0.37150400
#> 634 8 7.668307 1.490157 0.2225895 0.82385504
#> 635 8 7.668307 1.490157 0.2225895 0.82385504
#> 636 8 7.668307 1.490157 0.2225895 0.82385504
#> 637 10 7.668307 1.490157 1.5647299 0.11764625
#> 638 9 7.668307 1.490157 0.8936597 0.37150400
#> 639 7 7.668307 1.490157 -0.4484808 0.65380626
#> 640 9 7.668307 1.490157 0.8936597 0.37150400
#> 641 7 7.668307 1.490157 -0.4484808 0.65380626
#> 642 11 7.668307 1.490157 2.2358001 0.02536487
#> 643 8 7.668307 1.490157 0.2225895 0.82385504
#> 644 9 7.668307 1.490157 0.8936597 0.37150400
#> 645 7 7.668307 1.490157 -0.4484808 0.65380626
#> 646 10 7.668307 1.490157 1.5647299 0.11764625
#> 647 5 7.668307 1.490157 -1.7906212 0.07335410
#> 648 5 7.668307 1.490157 -1.7906212 0.07335410
#> 649 8 7.668307 1.490157 0.2225895 0.82385504
#> 650 9 7.668307 1.490157 0.8936597 0.37150400
#> 651 9 7.668307 1.490157 0.8936597 0.37150400
#> 652 6 7.668307 1.490157 -1.1195510 0.26290515
#> 653 7 7.668307 1.490157 -0.4484808 0.65380626
#> 654 8 7.668307 1.490157 0.2225895 0.82385504
#> 655 7 7.668307 1.490157 -0.4484808 0.65380626
#> 656 8 7.668307 1.490157 0.2225895 0.82385504
#> 657 8 7.668307 1.490157 0.2225895 0.82385504
#> 658 9 7.668307 1.490157 0.8936597 0.37150400
#> 659 7 7.668307 1.490157 -0.4484808 0.65380626
#> 660 9 7.668307 1.490157 0.8936597 0.37150400
#> 661 9 7.668307 1.490157 0.8936597 0.37150400
#> 662 7 7.668307 1.490157 -0.4484808 0.65380626
#> 663 9 7.668307 1.490157 0.8936597 0.37150400
#> 664 8 7.668307 1.490157 0.2225895 0.82385504
#> 665 8 7.668307 1.490157 0.2225895 0.82385504
#> 666 11 7.668307 1.490157 2.2358001 0.02536487
#> 667 8 7.668307 1.490157 0.2225895 0.82385504
#> 668 9 7.668307 1.490157 0.8936597 0.37150400
#> 669 9 7.668307 1.490157 0.8936597 0.37150400
#> 670 8 7.668307 1.490157 0.2225895 0.82385504
#> 671 9 7.668307 1.490157 0.8936597 0.37150400
#> 672 10 7.668307 1.490157 1.5647299 0.11764625
#> 673 10 7.668307 1.490157 1.5647299 0.11764625
#> 674 8 7.668307 1.490157 0.2225895 0.82385504
#> 675 9 7.668307 1.490157 0.8936597 0.37150400
#> 676 9 7.668307 1.490157 0.8936597 0.37150400
#> 677 9 7.668307 1.490157 0.8936597 0.37150400
#> 678 9 7.668307 1.490157 0.8936597 0.37150400
#> 679 9 7.668307 1.490157 0.8936597 0.37150400
#> 680 9 7.668307 1.490157 0.8936597 0.37150400
#> 681 6 7.668307 1.490157 -1.1195510 0.26290515
#> 682 6 7.668307 1.490157 -1.1195510 0.26290515
#> 683 7 7.668307 1.490157 -0.4484808 0.65380626
#> 684 8 7.668307 1.490157 0.2225895 0.82385504
#> 685 8 7.668307 1.490157 0.2225895 0.82385504
#> 686 7 7.668307 1.490157 -0.4484808 0.65380626
#> 687 8 7.668307 1.490157 0.2225895 0.82385504
#> 688 8 7.668307 1.490157 0.2225895 0.82385504
#> 689 8 7.668307 1.490157 0.2225895 0.82385504
#> 690 8 7.668307 1.490157 0.2225895 0.82385504
#> 691 7 7.668307 1.490157 -0.4484808 0.65380626
#> 692 6 7.668307 1.490157 -1.1195510 0.26290515
#> 693 10 7.668307 1.490157 1.5647299 0.11764625
#> 694 7 7.668307 1.490157 -0.4484808 0.65380626
#> 695 6 7.668307 1.490157 -1.1195510 0.26290515
#> 696 11 7.668307 1.490157 2.2358001 0.02536487
#> 697 8 7.668307 1.490157 0.2225895 0.82385504
#> 698 6 7.668307 1.490157 -1.1195510 0.26290515
#> 699 7 7.668307 1.490157 -0.4484808 0.65380626
#> 700 7 7.668307 1.490157 -0.4484808 0.65380626
#> 701 6 7.668307 1.490157 -1.1195510 0.26290515
#> 702 8 7.668307 1.490157 0.2225895 0.82385504
#> 703 8 7.668307 1.490157 0.2225895 0.82385504
#> 704 8 7.668307 1.490157 0.2225895 0.82385504
#> 705 8 7.668307 1.490157 0.2225895 0.82385504
#> 706 10 7.668307 1.490157 1.5647299 0.11764625
#> 707 9 7.668307 1.490157 0.8936597 0.37150400
#> 708 6 7.668307 1.490157 -1.1195510 0.26290515
#> 709 8 7.668307 1.490157 0.2225895 0.82385504
#> 710 10 7.668307 1.490157 1.5647299 0.11764625
#> 711 9 7.668307 1.490157 0.8936597 0.37150400
#> 712 9 7.668307 1.490157 0.8936597 0.37150400
#> 713 8 7.668307 1.490157 0.2225895 0.82385504
#> 714 8 7.668307 1.490157 0.2225895 0.82385504
#> 715 10 7.668307 1.490157 1.5647299 0.11764625
#> 716 7 7.668307 1.490157 -0.4484808 0.65380626
#> 717 7 7.668307 1.490157 -0.4484808 0.65380626
#> 718 9 7.668307 1.490157 0.8936597 0.37150400
#> 719 8 7.668307 1.490157 0.2225895 0.82385504
#> 720 8 7.668307 1.490157 0.2225895 0.82385504
#> 721 9 7.668307 1.490157 0.8936597 0.37150400
#> 722 9 7.668307 1.490157 0.8936597 0.37150400
#> 723 8 7.668307 1.490157 0.2225895 0.82385504
#> 724 8 7.668307 1.490157 0.2225895 0.82385504
#> 725 6 7.668307 1.490157 -1.1195510 0.26290515
#> 726 10 7.668307 1.490157 1.5647299 0.11764625
#> 727 8 7.668307 1.490157 0.2225895 0.82385504
#> 728 9 7.668307 1.490157 0.8936597 0.37150400
#> 729 7 7.668307 1.490157 -0.4484808 0.65380626
#> 730 9 7.668307 1.490157 0.8936597 0.37150400
#> 731 9 7.668307 1.490157 0.8936597 0.37150400
#> 732 7 7.668307 1.490157 -0.4484808 0.65380626
#> 733 10 7.668307 1.490157 1.5647299 0.11764625
#> 734 6 7.668307 1.490157 -1.1195510 0.26290515
#> 735 6 7.668307 1.490157 -1.1195510 0.26290515
#> 736 5 7.668307 1.490157 -1.7906212 0.07335410
#> 737 6 7.668307 1.490157 -1.1195510 0.26290515
#> 738 7 7.668307 1.490157 -0.4484808 0.65380626
#> 739 10 7.668307 1.490157 1.5647299 0.11764625
#> 740 9 7.668307 1.490157 0.8936597 0.37150400
#> 741 9 7.668307 1.490157 0.8936597 0.37150400
#> 742 7 7.668307 1.490157 -0.4484808 0.65380626
#> 743 8 7.668307 1.490157 0.2225895 0.82385504
#> 744 7 7.668307 1.490157 -0.4484808 0.65380626
#> 745 9 7.668307 1.490157 0.8936597 0.37150400
#> 746 9 7.668307 1.490157 0.8936597 0.37150400
#> 747 6 7.668307 1.490157 -1.1195510 0.26290515
#> 748 9 7.668307 1.490157 0.8936597 0.37150400
#> 749 9 7.668307 1.490157 0.8936597 0.37150400
#> 750 6 7.668307 1.490157 -1.1195510 0.26290515
#> 751 8 7.668307 1.490157 0.2225895 0.82385504
#> 752 8 7.668307 1.490157 0.2225895 0.82385504
#> 753 9 7.668307 1.490157 0.8936597 0.37150400
#> 754 9 7.668307 1.490157 0.8936597 0.37150400
#> 755 7 7.668307 1.490157 -0.4484808 0.65380626
#> 756 9 7.668307 1.490157 0.8936597 0.37150400
#> 757 11 7.668307 1.490157 2.2358001 0.02536487
#> 758 7 7.668307 1.490157 -0.4484808 0.65380626
#> 759 9 7.668307 1.490157 0.8936597 0.37150400
#> 760 7 7.668307 1.490157 -0.4484808 0.65380626
#> 761 9 7.668307 1.490157 0.8936597 0.37150400
#> 762 7 7.668307 1.490157 -0.4484808 0.65380626
#> 763 8 7.668307 1.490157 0.2225895 0.82385504
#> 764 8 7.668307 1.490157 0.2225895 0.82385504
#> 765 4 7.668307 1.490157 -2.4616914 0.01382836
#> 766 8 7.668307 1.490157 0.2225895 0.82385504
#> 767 9 7.668307 1.490157 0.8936597 0.37150400
#> 768 8 7.668307 1.490157 0.2225895 0.82385504
#> 769 11 7.668307 1.490157 2.2358001 0.02536487
#> 770 8 7.668307 1.490157 0.2225895 0.82385504
#> 771 10 7.668307 1.490157 1.5647299 0.11764625
#> 772 7 7.668307 1.490157 -0.4484808 0.65380626
#> 773 6 7.668307 1.490157 -1.1195510 0.26290515
#> 774 10 7.668307 1.490157 1.5647299 0.11764625
#> 775 7 7.668307 1.490157 -0.4484808 0.65380626
#> 776 9 7.668307 1.490157 0.8936597 0.37150400
#> 777 8 7.668307 1.490157 0.2225895 0.82385504
#> 778 6 7.668307 1.490157 -1.1195510 0.26290515
#> 779 8 7.668307 1.490157 0.2225895 0.82385504
#> 780 10 7.668307 1.490157 1.5647299 0.11764625
#> 781 10 7.668307 1.490157 1.5647299 0.11764625
#> 782 10 7.668307 1.490157 1.5647299 0.11764625
#> 783 9 7.668307 1.490157 0.8936597 0.37150400
#> 784 6 7.668307 1.490157 -1.1195510 0.26290515
#> 785 10 7.668307 1.490157 1.5647299 0.11764625
#> 786 7 7.668307 1.490157 -0.4484808 0.65380626
#> 787 8 7.668307 1.490157 0.2225895 0.82385504
#> 788 9 7.668307 1.490157 0.8936597 0.37150400
#> 789 10 7.668307 1.490157 1.5647299 0.11764625
#> 790 5 7.668307 1.490157 -1.7906212 0.07335410
#> 791 9 7.668307 1.490157 0.8936597 0.37150400
#> 792 8 7.668307 1.490157 0.2225895 0.82385504
#> 793 8 7.668307 1.490157 0.2225895 0.82385504
#> 794 8 7.668307 1.490157 0.2225895 0.82385504
#> 795 7 7.668307 1.490157 -0.4484808 0.65380626
#> 796 7 7.668307 1.490157 -0.4484808 0.65380626
#> 797 6 7.668307 1.490157 -1.1195510 0.26290515
#> 798 8 7.668307 1.490157 0.2225895 0.82385504
#> 799 8 7.668307 1.490157 0.2225895 0.82385504
#> 800 9 7.668307 1.490157 0.8936597 0.37150400
#> 801 8 7.668307 1.490157 0.2225895 0.82385504
#> 802 10 7.668307 1.490157 1.5647299 0.11764625
#> 803 7 7.668307 1.490157 -0.4484808 0.65380626
#> 804 9 7.668307 1.490157 0.8936597 0.37150400
#> 805 10 7.668307 1.490157 1.5647299 0.11764625
#> 806 8 7.668307 1.490157 0.2225895 0.82385504
#> 807 10 7.668307 1.490157 1.5647299 0.11764625
#> 808 8 7.668307 1.490157 0.2225895 0.82385504
#> 809 7 7.668307 1.490157 -0.4484808 0.65380626
#> 810 10 7.668307 1.490157 1.5647299 0.11764625
#> 811 10 7.668307 1.490157 1.5647299 0.11764625
#> 812 9 7.668307 1.490157 0.8936597 0.37150400
#> 813 9 7.668307 1.490157 0.8936597 0.37150400
#> 814 5 7.668307 1.490157 -1.7906212 0.07335410
#> 815 10 7.668307 1.490157 1.5647299 0.11764625
#> 816 10 7.668307 1.490157 1.5647299 0.11764625
#> 817 9 7.668307 1.490157 0.8936597 0.37150400
#> 818 10 7.668307 1.490157 1.5647299 0.11764625
#> 819 9 7.668307 1.490157 0.8936597 0.37150400
#> 820 7 7.668307 1.490157 -0.4484808 0.65380626
#> 821 8 7.668307 1.490157 0.2225895 0.82385504
#> 822 7 7.668307 1.490157 -0.4484808 0.65380626
#> 823 6 7.668307 1.490157 -1.1195510 0.26290515
#> 824 5 7.668307 1.490157 -1.7906212 0.07335410
#> 825 7 7.668307 1.490157 -0.4484808 0.65380626
#> 826 7 7.668307 1.490157 -0.4484808 0.65380626
#> 827 9 7.668307 1.490157 0.8936597 0.37150400
#> 828 6 7.668307 1.490157 -1.1195510 0.26290515
#> 829 8 7.668307 1.490157 0.2225895 0.82385504
#> 830 9 7.668307 1.490157 0.8936597 0.37150400
#> 831 9 7.668307 1.490157 0.8936597 0.37150400
#> 832 9 7.668307 1.490157 0.8936597 0.37150400
#> 833 7 7.668307 1.490157 -0.4484808 0.65380626
#> 834 8 7.668307 1.490157 0.2225895 0.82385504
#> 835 8 7.668307 1.490157 0.2225895 0.82385504
#> 836 8 7.668307 1.490157 0.2225895 0.82385504
#> 837 9 7.668307 1.490157 0.8936597 0.37150400
#> 838 8 7.668307 1.490157 0.2225895 0.82385504
#> 839 8 7.668307 1.490157 0.2225895 0.82385504
#> 840 7 7.668307 1.490157 -0.4484808 0.65380626
#> 841 9 7.668307 1.490157 0.8936597 0.37150400
#> 842 9 7.668307 1.490157 0.8936597 0.37150400
#> 843 7 7.668307 1.490157 -0.4484808 0.65380626
#> 844 10 7.668307 1.490157 1.5647299 0.11764625
#> 845 9 7.668307 1.490157 0.8936597 0.37150400
#> 846 9 7.668307 1.490157 0.8936597 0.37150400
#> 847 9 7.668307 1.490157 0.8936597 0.37150400
#> 848 8 7.668307 1.490157 0.2225895 0.82385504
#> 849 5 7.668307 1.490157 -1.7906212 0.07335410
#> 850 9 7.668307 1.490157 0.8936597 0.37150400
#> 851 10 7.668307 1.490157 1.5647299 0.11764625
#> 852 8 7.668307 1.490157 0.2225895 0.82385504
#> 853 7 7.668307 1.490157 -0.4484808 0.65380626
#> 854 10 7.668307 1.490157 1.5647299 0.11764625
#> 855 7 7.668307 1.490157 -0.4484808 0.65380626
#> 856 9 7.668307 1.490157 0.8936597 0.37150400
#> 857 9 7.668307 1.490157 0.8936597 0.37150400
#> 858 7 7.668307 1.490157 -0.4484808 0.65380626
#> 859 8 7.668307 1.490157 0.2225895 0.82385504
#> 860 10 7.668307 1.490157 1.5647299 0.11764625
#> 861 8 7.668307 1.490157 0.2225895 0.82385504
#> 862 7 7.668307 1.490157 -0.4484808 0.65380626
#> 863 7 7.668307 1.490157 -0.4484808 0.65380626
#> 864 7 7.668307 1.490157 -0.4484808 0.65380626
#> 865 7 7.668307 1.490157 -0.4484808 0.65380626
#> 866 9 7.668307 1.490157 0.8936597 0.37150400
#> 867 6 7.668307 1.490157 -1.1195510 0.26290515
#> 868 8 7.668307 1.490157 0.2225895 0.82385504
#> 869 9 7.668307 1.490157 0.8936597 0.37150400
#> 870 8 7.668307 1.490157 0.2225895 0.82385504
#> 871 8 7.668307 1.490157 0.2225895 0.82385504
#> 872 10 7.668307 1.490157 1.5647299 0.11764625
#> 873 6 7.668307 1.490157 -1.1195510 0.26290515
#> 874 7 7.668307 1.490157 -0.4484808 0.65380626
#> 875 8 7.668307 1.490157 0.2225895 0.82385504
#> 876 8 7.668307 1.490157 0.2225895 0.82385504
#> 877 7 7.668307 1.490157 -0.4484808 0.65380626
plot(lsrq, sf = FastFood.sf, sig = 0.05)
# }
# Case 3: With a sf object (poligons)
fname <- system.file("shape/nc.shp", package="sf")
nc <- sf::st_read(fname)
#> Reading layer `nc' from data source
#> `/home/runner/work/_temp/Library/sf/shape/nc.shp' using driver `ESRI Shapefile'
#> Simple feature collection with 100 features and 14 fields
#> Geometry type: MULTIPOLYGON
#> Dimension: XY
#> Bounding box: xmin: -84.32385 ymin: 33.88199 xmax: -75.45698 ymax: 36.58965
#> Geodetic CRS: NAD27
listw <- spdep::poly2nb(as(nc,"Spatial"), queen = FALSE)
#> although coordinates are longitude/latitude, st_intersects assumes that they
#> are planar
p <- c(1/6,3/6,2/6)
rho = 0.5
nc$fx <- dgp.spq(p = p, listw = listw, rho = rho)
plot(nc["fx"])
formula <- ~ fx
lsrq <- local.sp.runs.test(formula = formula, data = nc, listw = listw)
#> Warning: st_centroid assumes attributes are constant over geometries
#> Warning: st_centroid does not give correct centroids for longitude/latitude data
print(lsrq)
#> runs.i E.i Std.i z.value p.value
#> 1 4 2.855152 0.8722689 1.31249497 0.189353181
#> 2 4 2.855152 0.8722689 1.31249497 0.189353181
#> 3 4 4.091919 1.1317511 -0.08121856 0.935268142
#> 4 3 2.236768 0.7064182 1.08042568 0.279952664
#> 5 4 3.473535 1.0106752 0.52090392 0.602433708
#> 6 4 2.855152 0.8722689 1.31249497 0.189353181
#> 7 3 2.855152 0.8722689 0.16605945 0.868110166
#> 8 5 4.091919 1.1317511 0.80236794 0.422340153
#> 9 4 3.473535 1.0106752 0.52090392 0.602433708
#> 10 4 2.855152 0.8722689 1.31249497 0.189353181
#> 11 2 3.473535 1.0106752 -1.45797128 0.144848459
#> 12 3 3.473535 1.0106752 -0.46853368 0.639402990
#> 13 5 4.091919 1.1317511 0.80236794 0.422340153
#> 14 2 3.473535 1.0106752 -1.45797128 0.144848459
#> 15 2 2.855152 0.8722689 -0.98037608 0.326900515
#> 16 4 4.710303 1.2405813 -0.57255663 0.566944931
#> 17 4 2.855152 0.8722689 1.31249497 0.189353181
#> 18 3 5.947071 1.4323964 -2.05744075 0.039643848
#> 19 3 3.473535 1.0106752 -0.46853368 0.639402990
#> 20 3 2.855152 0.8722689 0.16605945 0.868110166
#> 21 2 2.236768 0.7064182 -0.33516646 0.737499518
#> 22 3 4.091919 1.1317511 -0.96480505 0.334642465
#> 23 5 4.091919 1.1317511 0.80236794 0.422340153
#> 24 3 4.091919 1.1317511 -0.96480505 0.334642465
#> 25 5 4.710303 1.2405813 0.23351712 0.815359874
#> 26 6 4.091919 1.1317511 1.68595444 0.091804576
#> 27 6 4.710303 1.2405813 1.03959088 0.298530015
#> 28 4 4.091919 1.1317511 -0.08121856 0.935268142
#> 29 4 4.091919 1.1317511 -0.08121856 0.935268142
#> 30 3 4.091919 1.1317511 -0.96480505 0.334642465
#> 31 5 4.091919 1.1317511 0.80236794 0.422340153
#> 32 2 2.855152 0.8722689 -0.98037608 0.326900515
#> 33 6 4.091919 1.1317511 1.68595444 0.091804576
#> 34 4 4.710303 1.2405813 -0.57255663 0.566944931
#> 35 3 3.473535 1.0106752 -0.46853368 0.639402990
#> 36 6 4.710303 1.2405813 1.03959088 0.298530015
#> 37 6 4.710303 1.2405813 1.03959088 0.298530015
#> 38 3 2.855152 0.8722689 0.16605945 0.868110166
#> 39 6 6.565455 1.5186493 -0.37234044 0.709639393
#> 40 5 4.091919 1.1317511 0.80236794 0.422340153
#> 41 4 3.473535 1.0106752 0.52090392 0.602433708
#> 42 3 4.710303 1.2405813 -1.37863039 0.168008742
#> 43 4 4.710303 1.2405813 -0.57255663 0.566944931
#> 44 5 4.091919 1.1317511 0.80236794 0.422340153
#> 45 2 2.236768 0.7064182 -0.33516646 0.737499518
#> 46 4 4.710303 1.2405813 -0.57255663 0.566944931
#> 47 2 4.710303 1.2405813 -2.18470415 0.028910546
#> 48 2 5.947071 1.4323964 -2.75557153 0.005858969
#> 49 5 4.710303 1.2405813 0.23351712 0.815359874
#> 50 3 4.091919 1.1317511 -0.96480505 0.334642465
#> 51 6 5.328687 1.3401523 0.50092302 0.616425301
#> 52 4 4.091919 1.1317511 -0.08121856 0.935268142
#> 53 7 4.710303 1.2405813 1.84566464 0.064940915
#> 54 5 4.710303 1.2405813 0.23351712 0.815359874
#> 55 5 4.091919 1.1317511 0.80236794 0.422340153
#> 56 2 2.236768 0.7064182 -0.33516646 0.737499518
#> 57 3 4.710303 1.2405813 -1.37863039 0.168008742
#> 58 4 3.473535 1.0106752 0.52090392 0.602433708
#> 59 3 3.473535 1.0106752 -0.46853368 0.639402990
#> 60 1 2.855152 0.8722689 -2.12681160 0.033435740
#> 61 4 4.710303 1.2405813 -0.57255663 0.566944931
#> 62 5 4.710303 1.2405813 0.23351712 0.815359874
#> 63 6 5.328687 1.3401523 0.50092302 0.616425301
#> 64 2 3.473535 1.0106752 -1.45797128 0.144848459
#> 65 5 4.091919 1.1317511 0.80236794 0.422340153
#> 66 3 3.473535 1.0106752 -0.46853368 0.639402990
#> 67 8 5.947071 1.4323964 1.43321312 0.151796942
#> 68 3 4.091919 1.1317511 -0.96480505 0.334642465
#> 69 3 4.091919 1.1317511 -0.96480505 0.334642465
#> 70 5 4.710303 1.2405813 0.23351712 0.815359874
#> 71 4 4.091919 1.1317511 -0.08121856 0.935268142
#> 72 3 3.473535 1.0106752 -0.46853368 0.639402990
#> 73 2 2.855152 0.8722689 -0.98037608 0.326900515
#> 74 5 4.710303 1.2405813 0.23351712 0.815359874
#> 75 3 2.855152 0.8722689 0.16605945 0.868110166
#> 76 4 2.855152 0.8722689 1.31249497 0.189353181
#> 77 1 2.236768 0.7064182 -1.75075861 0.079987499
#> 78 4 4.091919 1.1317511 -0.08121856 0.935268142
#> 79 5 5.328687 1.3401523 -0.24526083 0.806254475
#> 80 2 2.236768 0.7064182 -0.33516646 0.737499518
#> 81 2 2.855152 0.8722689 -0.98037608 0.326900515
#> 82 6 4.710303 1.2405813 1.03959088 0.298530015
#> 83 6 4.091919 1.1317511 1.68595444 0.091804576
#> 84 4 3.473535 1.0106752 0.52090392 0.602433708
#> 85 3 3.473535 1.0106752 -0.46853368 0.639402990
#> 86 4 3.473535 1.0106752 0.52090392 0.602433708
#> 87 4 3.473535 1.0106752 0.52090392 0.602433708
#> 88 3 4.710303 1.2405813 -1.37863039 0.168008742
#> 89 5 3.473535 1.0106752 1.51034151 0.130956304
#> 90 3 2.236768 0.7064182 1.08042568 0.279952664
#> 91 5 4.710303 1.2405813 0.23351712 0.815359874
#> 92 2 2.855152 0.8722689 -0.98037608 0.326900515
#> 93 4 3.473535 1.0106752 0.52090392 0.602433708
#> 94 3 4.091919 1.1317511 -0.96480505 0.334642465
#> 95 2 2.855152 0.8722689 -0.98037608 0.326900515
#> 96 5 4.091919 1.1317511 0.80236794 0.422340153
#> 97 6 5.328687 1.3401523 0.50092302 0.616425301
#> 98 5 3.473535 1.0106752 1.51034151 0.130956304
#> 99 2 2.236768 0.7064182 -0.33516646 0.737499518
#> 100 4 2.855152 0.8722689 1.31249497 0.189353181
plot(lsrq, sf = nc)
# Version boot
lsrq <- local.sp.runs.test(formula = formula, data = nc, listw = listw,
distr ="bootstrap", nsim = 399)
#> Warning: st_centroid assumes attributes are constant over geometries
#> Warning: st_centroid does not give correct centroids for longitude/latitude data
print(lsrq)
#> SRQ EP.i SdP.i zseudo.value pseudo.value
#> 1 4 2.912281 0.8416451 1.29237295 0.196228020
#> 2 4 2.867168 0.8535470 1.32720529 0.184440782
#> 3 4 4.082707 1.1564443 -0.07151816 0.942985375
#> 4 3 2.250627 0.7245469 1.03426492 0.301012332
#> 5 4 3.433584 0.9667720 0.58588376 0.557953630
#> 6 4 2.837093 0.8745581 1.32970846 0.183614348
#> 7 3 2.802005 0.8787817 0.22530623 0.821741057
#> 8 5 4.092732 1.1425627 0.79406422 0.427158046
#> 9 4 3.463659 1.0040409 0.53418227 0.593215432
#> 10 4 2.794486 0.8926668 1.35046340 0.176867387
#> 11 2 3.493734 1.0121552 -1.47579576 0.139998730
#> 12 3 3.466165 1.0214942 -0.45635641 0.648133704
#> 13 5 4.070175 1.1028003 0.84314861 0.399145336
#> 14 2 3.421053 0.9889632 -1.43691159 0.150743116
#> 15 2 2.864662 0.8575584 -1.00828315 0.313318549
#> 16 4 4.686717 1.2914870 -0.53172567 0.594916012
#> 17 4 2.847118 0.8849299 1.30279492 0.192644787
#> 18 3 6.052632 1.5626729 -1.95346805 0.050764159
#> 19 3 3.503759 0.9793655 -0.51437326 0.606991052
#> 20 3 2.859649 0.8596779 0.16325984 0.870313853
#> 21 2 2.238095 0.7024382 -0.33895541 0.734643325
#> 22 3 4.090226 1.0759498 -1.01326803 0.310932155
#> 23 5 4.070175 1.1386705 0.81658789 0.414163979
#> 24 3 4.195489 1.1013376 -1.08548801 0.277705569
#> 25 5 4.674185 1.3048461 0.24969575 0.802822641
#> 26 6 4.145363 1.1878456 1.56134482 0.118442413
#> 27 6 4.724311 1.3577196 0.93958225 0.347431885
#> 28 4 4.042607 1.1189053 -0.03807875 0.969624892
#> 29 4 4.017544 1.1060332 -0.01586196 0.987344514
#> 30 3 4.102757 1.1306455 -0.97533392 0.329394651
#> 31 5 4.055138 1.0990939 0.85967371 0.389968929
#> 32 2 2.862155 0.8438643 -1.02167543 0.306934543
#> 33 6 4.150376 1.2185516 1.51788738 0.129042792
#> 34 4 4.686717 1.2173779 -0.56409499 0.572689489
#> 35 3 3.496241 0.9767966 -0.50802860 0.611433285
#> 36 6 4.681704 1.2527121 1.05235334 0.292637466
#> 37 6 4.741855 1.2323233 1.02095398 0.307276241
#> 38 3 2.824561 0.9129434 0.19216811 0.847610527
#> 39 6 6.486216 1.5068305 -0.32267434 0.746941886
#> 40 5 4.087719 1.1473476 0.79512144 0.426542865
#> 41 4 3.486216 1.0219626 0.50274293 0.615145021
#> 42 3 4.731830 1.2095784 -1.43176303 0.152211652
#> 43 4 4.721805 1.2381299 -0.58297964 0.559907004
#> 44 5 4.070175 1.0394663 0.89452113 0.371043129
#> 45 2 2.273183 0.6931522 -0.39411686 0.693494767
#> 46 4 4.764411 1.3467387 -0.56760159 0.570305526
#> 47 2 4.741855 1.2424759 -2.20676690 0.027330349
#> 48 2 5.997494 1.4309900 -2.79351618 0.005213842
#> 49 5 4.661654 1.1896996 0.28439604 0.776106892
#> 50 3 4.155388 1.0778327 -1.07195526 0.283740127
#> 51 6 5.385965 1.3585403 0.45198151 0.651282300
#> 52 4 4.225564 1.1644863 -0.19370251 0.846408828
#> 53 7 4.764411 1.2337941 1.81196280 0.069991945
#> 54 5 4.654135 1.2260476 0.28209726 0.777868934
#> 55 5 4.235589 1.1296091 0.67670404 0.498593753
#> 56 2 2.218045 0.7159877 -0.30453751 0.760718417
#> 57 3 4.681704 1.2243103 -1.37359313 0.169568030
#> 58 4 3.536341 1.0040409 0.46179309 0.644229709
#> 59 3 3.551378 1.0594119 -0.52045709 0.602745028
#> 60 1 2.922306 0.7966505 -2.41298519 0.015822462
#> 61 4 4.646617 1.2652814 -0.51104564 0.609319099
#> 62 5 4.644110 1.2655700 0.28120903 0.778550076
#> 63 6 5.421053 1.3197982 0.43866356 0.660905334
#> 64 2 3.491228 0.9996473 -1.49175422 0.135763590
#> 65 5 3.997494 1.1174692 0.89712205 0.369653793
#> 66 3 3.563910 0.9798476 -0.57550765 0.564948016
#> 67 8 6.022556 1.4184685 1.39406950 0.163296617
#> 68 3 3.992481 1.1765906 -0.84352298 0.398936021
#> 69 3 4.127820 1.1674837 -0.96602598 0.334031180
#> 70 5 4.676692 1.2453867 0.25960472 0.795168691
#> 71 4 3.949875 1.1615679 0.04315315 0.965579451
#> 72 3 3.526316 0.9503685 -0.55380183 0.579714478
#> 73 2 2.869674 0.8814433 -0.98664786 0.323815297
#> 74 5 4.681704 1.2883089 0.24706477 0.804858099
#> 75 3 2.894737 0.8617776 0.12214654 0.902782961
#> 76 4 2.854637 0.8904419 1.28628655 0.198343076
#> 77 1 2.268170 0.6425174 -1.97375279 0.048409859
#> 78 4 4.052632 1.1516808 -0.04569980 0.963549526
#> 79 5 5.318296 1.3399322 -0.23754616 0.812233113
#> 80 2 2.215539 0.7149932 -0.30145582 0.763066938
#> 81 2 2.819549 0.8782800 -0.93312943 0.350753145
#> 82 6 4.754386 1.2876782 0.96733333 0.333377428
#> 83 6 4.087719 1.1690414 1.63576813 0.101888125
#> 84 4 3.378446 1.0197234 0.60953186 0.542171964
#> 85 3 3.468672 1.0313654 -0.45441866 0.649527523
#> 86 4 3.521303 0.9994583 0.47895619 0.631969793
#> 87 4 3.456140 0.9886065 0.55012752 0.582231916
#> 88 3 4.644110 1.2635831 -1.30114926 0.193207368
#> 89 5 3.403509 0.9642284 1.65571895 0.097778748
#> 90 3 2.258145 0.6769927 1.09580886 0.273162431
#> 91 5 4.686717 1.2738574 0.24593272 0.805734312
#> 92 2 2.852130 0.8743636 -0.97457200 0.329772608
#> 93 4 3.478697 1.0316218 0.50532401 0.613331284
#> 94 3 4.115288 1.0921105 -1.02122286 0.307148866
#> 95 2 2.804511 0.8836196 -0.91047241 0.362573425
#> 96 5 4.155388 1.1412392 0.74008282 0.459249742
#> 97 6 5.413534 1.3605782 0.43104185 0.666437940
#> 98 5 3.523810 1.0436742 1.41441697 0.157239511
#> 99 2 2.285714 0.7149315 -0.39963868 0.689422662
#> 100 4 2.751880 0.8717165 1.43179610 0.152202183
plot(lsrq, sf = nc)
# Case 4: With isolated areas
data(provinces_spain)
listw <- spdep::poly2nb(as(provinces_spain,"Spatial"), queen = FALSE)
#> although coordinates are longitude/latitude, st_intersects assumes that they
#> are planar
#> Warning: some observations have no neighbours;
#> if this seems unexpected, try increasing the snap argument.
#> Warning: neighbour object has 4 sub-graphs;
#> if this sub-graph count seems unexpected, try increasing the snap argument.
provinces_spain$Mal2Fml<- factor(provinces_spain$Mal2Fml > 100)
levels(provinces_spain$Mal2Fml) = c("men","woman")
plot(provinces_spain["Mal2Fml"])
formula <- ~ Mal2Fml
lsrq <- local.sp.runs.test(formula = formula, data = provinces_spain, listw = listw)
#> Warning: st_centroid assumes attributes are constant over geometries
#> Warning: st_centroid does not give correct centroids for longitude/latitude data
print(lsrq)
#> runs.i E.i Std.i z.value p.value
#> 1 3 2.963265 1.2181954 0.03015501 0.97594343
#> 2 3 3.748571 1.4356803 -0.52140538 0.60208441
#> 3 3 2.177959 0.9361800 0.87807987 0.37990038
#> 4 3 1.785306 0.7491685 1.62138936 0.10493416
#> 5 4 3.355918 1.3328119 0.48325020 0.62891810
#> 6 3 3.355918 1.3328119 -0.26704320 0.78943590
#> 7 0 1.000000 NaN NaN NaN
#> 8 3 2.177959 0.9361800 0.87807987 0.37990038
#> 9 4 4.141224 1.5291733 -0.09235349 0.92641719
#> 10 2 2.570612 1.0881246 -0.52439971 0.60000056
#> 11 1 2.177959 0.9361800 -1.25826142 0.20829723
#> 12 3 2.177959 0.9361800 0.87807987 0.37990038
#> 13 5 3.355918 1.3328119 1.23354359 0.21737302
#> 14 1 3.355918 1.3328119 -1.76762999 0.07712278
#> 15 1 1.785306 0.7491685 -1.04823694 0.29452945
#> 16 5 3.748571 1.4356803 0.87166242 0.38339257
#> 17 2 1.785306 0.7491685 0.28657621 0.77443683
#> 18 5 3.355918 1.3328119 1.23354359 0.21737302
#> 19 5 3.355918 1.3328119 1.23354359 0.21737302
#> 20 1 2.177959 0.9361800 -1.25826142 0.20829723
#> 21 2 2.177959 0.9361800 -0.19009078 0.84923800
#> 22 1 2.570612 1.0881246 -1.44341209 0.14890442
#> 23 1 3.748571 1.4356803 -1.91447317 0.05555972
#> 24 4 2.963265 1.2181954 0.85104136 0.39474638
#> 25 5 2.963265 1.2181954 1.67192771 0.09453858
#> 26 1 2.963265 1.2181954 -1.61161769 0.10704516
#> 27 2 2.963265 1.2181954 -0.79073134 0.42910078
#> 28 1 2.570612 1.0881246 -1.44341209 0.14890442
#> 29 4 2.570612 1.0881246 1.31362503 0.18897242
#> 30 2 2.963265 1.2181954 -0.79073134 0.42910078
#> 31 1 2.570612 1.0881246 -1.44341209 0.14890442
#> 32 1 2.177959 0.9361800 -1.25826142 0.20829723
#> 33 3 2.570612 1.0881246 0.39461266 0.69312877
#> 34 0 1.000000 NaN NaN NaN
#> 35 1 2.177959 0.9361800 -1.25826142 0.20829723
#> 36 3 2.570612 1.0881246 0.39461266 0.69312877
#> 37 0 1.000000 NaN NaN NaN
#> 38 3 2.963265 1.2181954 0.03015501 0.97594343
#> 39 3 3.355918 1.3328119 -0.26704320 0.78943590
#> 40 1 2.963265 1.2181954 -1.61161769 0.10704516
#> 41 5 2.963265 1.2181954 1.67192771 0.09453858
#> 42 5 3.355918 1.3328119 1.23354359 0.21737302
#> 43 4 3.355918 1.3328119 0.48325020 0.62891810
#> 44 4 2.963265 1.2181954 0.85104136 0.39474638
#> 45 5 3.748571 1.4356803 0.87166242 0.38339257
#> 46 3 2.570612 1.0881246 0.39461266 0.69312877
#> 47 1 2.570612 1.0881246 -1.44341209 0.14890442
#> 48 8 4.141224 1.5291733 2.52343903 0.01162132
#> 49 5 2.963265 1.2181954 1.67192771 0.09453858
#> 50 1 2.177959 0.9361800 -1.25826142 0.20829723
plot(lsrq, sf = provinces_spain, sig = 0.1)
# Boots Version
lsrq <- local.sp.runs.test(formula = formula, data = provinces_spain, listw = listw,
distr ="bootstrap", nsim = 199)
#> Warning: st_centroid assumes attributes are constant over geometries
#> Warning: st_centroid does not give correct centroids for longitude/latitude data
print(lsrq)
#> SRQ EP.i SdP.i zseudo.value pseudo.value
#> 1 3 2.904523 1.2333455 0.07741334 0.93829473
#> 2 3 3.748744 1.3696516 -0.54666730 0.58460732
#> 3 3 2.120603 0.9241582 0.95156545 0.34131741
#> 4 3 1.768844 0.7432077 1.65654326 0.09761185
#> 5 4 3.296482 1.2900308 0.54534945 0.58551320
#> 6 3 3.487437 1.2667436 -0.38479546 0.70038896
#> 7 0 0.000000 0.0000000 NaN NaN
#> 8 3 2.266332 0.9125512 0.80397503 0.42141140
#> 9 4 4.160804 1.5256300 -0.10540172 0.91605705
#> 10 2 2.623116 1.1297932 -0.55153065 0.58126996
#> 11 1 2.261307 0.9385462 -1.34389390 0.17898270
#> 12 3 2.211055 1.0128859 0.77890782 0.43603401
#> 13 5 3.467337 1.3362424 1.14699493 0.25138372
#> 14 1 3.457286 1.2897947 -1.90517640 0.05675714
#> 15 1 1.723618 0.7170330 -1.00918379 0.31288650
#> 16 5 3.814070 1.4179951 0.83634255 0.40296222
#> 17 2 1.824121 0.7681942 0.22895174 0.81890643
#> 18 5 3.195980 1.2700051 1.42048252 0.15546725
#> 19 5 3.552764 1.4688620 0.98527719 0.32448793
#> 20 1 2.221106 0.9163811 -1.33253024 0.18268601
#> 21 2 2.100503 0.8989049 -0.11180550 0.91097763
#> 22 1 2.567839 1.0797357 -1.45205833 0.14648539
#> 23 1 3.839196 1.5189947 -1.86912834 0.06160496
#> 24 4 3.005025 1.1827783 0.84121840 0.40022559
#> 25 5 2.919598 1.2364693 1.68253426 0.09246529
#> 26 1 2.869347 1.1472475 -1.62941887 0.10322438
#> 27 2 3.030151 1.2427956 -0.82889798 0.40716214
#> 28 1 2.633166 1.1464066 -1.42459567 0.15427411
#> 29 4 2.452261 1.0132867 1.52744402 0.12665064
#> 30 2 3.035176 1.2406291 -0.83439597 0.40405789
#> 31 1 2.603015 1.0580098 -1.51512304 0.12974125
#> 32 1 2.110553 0.9308621 -1.19303683 0.23285495
#> 33 3 2.547739 1.0232067 0.44200386 0.65848641
#> 34 0 0.000000 0.0000000 NaN NaN
#> 35 1 2.125628 0.8985378 -1.25273320 0.21030282
#> 36 3 2.587940 1.1595259 0.35536964 0.72231269
#> 37 0 0.000000 0.0000000 NaN NaN
#> 38 3 2.864322 1.2499226 0.10854944 0.91355987
#> 39 3 3.417085 1.4431691 -0.28900663 0.77257630
#> 40 1 2.974874 1.1825208 -1.67005468 0.09490855
#> 41 5 2.934673 1.1852433 1.74253384 0.08141508
#> 42 5 3.351759 1.3768961 1.19707015 0.23127922
#> 43 4 3.452261 1.3013134 0.42091220 0.67381919
#> 44 4 2.974874 1.1739478 0.87322932 0.38253809
#> 45 5 3.944724 1.4536474 0.72595073 0.46786897
#> 46 3 2.648241 1.1750282 0.29936199 0.76466386
#> 47 1 2.497487 1.0292410 -1.45494340 0.14568493
#> 48 8 4.130653 1.5995628 2.41900273 0.01556312
#> 49 5 2.984925 1.2491508 1.61315625 0.10671056
#> 50 1 2.251256 0.9832876 -1.27252322 0.20318728
plot(lsrq, sf = provinces_spain, sig = 0.10)
# Case 5: SRQ test based on a distance matrix (inverse distance)
# \donttest{
N <- 100
cx <- runif(N)
cy <- runif(N)
coor <- as.data.frame(cbind(cx,cy))
coor <- sf::st_as_sf(coor,coords = c("cx","cy"))
n = dim(coor)[1]
dis <- 1/matrix(as.numeric(sf::st_distance(coor,coor)), ncol = n, nrow = n)
diag(dis) <- 0
dis <- (dis < quantile(dis,.10))*dis
p <- c(1/6,3/6,2/6)
rho <- 0.5
fx <- dgp.spq(p = p, listw = dis, rho = rho)
lsrq <- local.sp.runs.test(fx = fx, listw = dis)
print(lsrq)
#> runs.i E.i Std.i z.value p.value
#> 1 2 2.855152 0.8722689 -0.98037608 0.32690051
#> 2 4 4.091919 1.1317511 -0.08121856 0.93526814
#> 3 5 3.473535 1.0106752 1.51034151 0.13095630
#> 4 5 3.473535 1.0106752 1.51034151 0.13095630
#> 5 18 14.604444 2.3462098 1.44725143 0.14782652
#> 6 15 14.604444 2.3462098 0.16859343 0.86611645
#> 7 21 22.643434 2.9150932 -0.56376735 0.57291248
#> 8 3 2.236768 0.7064182 1.08042568 0.27995266
#> 9 4 3.473535 1.0106752 0.52090392 0.60243371
#> 10 0 1.000000 NaN NaN NaN
#> 11 21 22.025051 2.8765991 -0.35634111 0.72158513
#> 12 0 1.000000 NaN NaN NaN
#> 13 8 10.275758 1.9514092 -1.16621238 0.24352859
#> 14 0 1.000000 NaN NaN NaN
#> 15 0 1.000000 NaN NaN NaN
#> 16 0 1.000000 NaN NaN NaN
#> 17 6 5.328687 1.3401523 0.50092302 0.61642530
#> 18 4 3.473535 1.0106752 0.52090392 0.60243371
#> 19 18 17.696364 2.5846046 0.11747885 0.90648061
#> 20 2 2.855152 0.8722689 -0.98037608 0.32690051
#> 21 5 3.473535 1.0106752 1.51034151 0.13095630
#> 22 2 2.236768 0.7064182 -0.33516646 0.73749952
#> 23 25 23.261818 2.9528798 0.58863955 0.55610310
#> 24 8 7.183838 1.5998803 0.51013918 0.60995396
#> 25 8 10.275758 1.9514092 -1.16621238 0.24352859
#> 26 0 1.000000 NaN NaN NaN
#> 27 3 3.473535 1.0106752 -0.46853368 0.63940299
#> 28 2 2.236768 0.7064182 -0.33516646 0.73749952
#> 29 0 1.000000 NaN NaN NaN
#> 30 25 24.498586 3.0264361 0.16567808 0.86841029
#> 31 3 2.236768 0.7064182 1.08042568 0.27995266
#> 32 3 4.091919 1.1317511 -0.96480505 0.33464246
#> 33 3 2.855152 0.8722689 0.16605945 0.86811017
#> 34 8 9.038990 1.8199699 -0.57088300 0.56807895
#> 35 5 3.473535 1.0106752 1.51034151 0.13095630
#> 36 6 7.183838 1.5998803 -0.73995436 0.45932769
#> 37 7 8.420606 1.7500327 -0.81175974 0.41692951
#> 38 3 2.855152 0.8722689 0.16605945 0.86811017
#> 39 0 1.000000 NaN NaN NaN
#> 40 5 3.473535 1.0106752 1.51034151 0.13095630
#> 41 1 1.618384 0.4857831 -1.27296272 0.20303127
#> 42 8 9.038990 1.8199699 -0.57088300 0.56807895
#> 43 7 6.565455 1.5186493 0.28613944 0.77477133
#> 44 7 9.038990 1.8199699 -1.12034263 0.26256778
#> 45 1 2.236768 0.7064182 -1.75075861 0.07998750
#> 46 2 2.855152 0.8722689 -0.98037608 0.32690051
#> 47 5 6.565455 1.5186493 -1.03082032 0.30262509
#> 48 5 7.183838 1.5998803 -1.36500113 0.17225270
#> 49 12 10.275758 1.9514092 0.88358834 0.37691847
#> 50 7 7.802222 1.6768193 -0.47841899 0.63235202
#> 51 4 3.473535 1.0106752 0.52090392 0.60243371
#> 52 8 6.565455 1.5186493 0.94461932 0.34485326
#> 53 4 4.710303 1.2405813 -0.57255663 0.56694493
#> 54 8 9.657374 1.8869954 -0.87831360 0.37977356
#> 55 5 7.802222 1.6768193 -1.67115332 0.09469140
#> 56 3 2.236768 0.7064182 1.08042568 0.27995266
#> 57 5 4.091919 1.1317511 0.80236794 0.42234015
#> 58 0 1.000000 NaN NaN NaN
#> 59 0 1.000000 NaN NaN NaN
#> 60 3 5.328687 1.3401523 -1.73762855 0.08227629
#> 61 10 8.420606 1.7500327 0.90249398 0.36679452
#> 62 7 7.802222 1.6768193 -0.47841899 0.63235202
#> 63 0 1.000000 NaN NaN NaN
#> 64 12 11.512525 2.0733657 0.23511277 0.81412121
#> 65 10 10.894141 2.0134619 -0.44408161 0.65698359
#> 66 8 10.275758 1.9514092 -1.16621238 0.24352859
#> 67 0 1.000000 NaN NaN NaN
#> 68 6 5.328687 1.3401523 0.50092302 0.61642530
#> 69 0 1.000000 NaN NaN NaN
#> 70 5 3.473535 1.0106752 1.51034151 0.13095630
#> 71 6 9.657374 1.8869954 -1.93819959 0.05259888
#> 72 5 3.473535 1.0106752 1.51034151 0.13095630
#> 73 2 2.236768 0.7064182 -0.33516646 0.73749952
#> 74 4 2.855152 0.8722689 1.31249497 0.18935318
#> 75 14 16.459596 2.4927161 -0.98671322 0.32378325
#> 76 8 6.565455 1.5186493 0.94461932 0.34485326
#> 77 3 3.473535 1.0106752 -0.46853368 0.63940299
#> 78 18 20.788283 2.7973712 -0.99675111 0.31888533
#> 79 6 5.947071 1.4323964 0.03695157 0.97052362
#> 80 2 2.855152 0.8722689 -0.98037608 0.32690051
#> 81 6 7.802222 1.6768193 -1.07478616 0.28247048
#> 82 14 12.749293 2.1874260 0.57177115 0.56747702
#> 83 0 1.000000 NaN NaN NaN
#> 84 4 4.091919 1.1317511 -0.08121856 0.93526814
#> 85 17 17.696364 2.5846046 -0.26942754 0.78760070
#> 86 8 7.183838 1.5998803 0.51013918 0.60995396
#> 87 3 4.091919 1.1317511 -0.96480505 0.33464246
#> 88 0 1.000000 NaN NaN NaN
#> 89 0 1.000000 NaN NaN NaN
#> 90 4 3.473535 1.0106752 0.52090392 0.60243371
#> 91 1 1.618384 0.4857831 -1.27296272 0.20303127
#> 92 13 11.512525 2.0733657 0.71742037 0.47311476
#> 93 17 17.696364 2.5846046 -0.26942754 0.78760070
#> 94 4 6.565455 1.5186493 -1.68930020 0.09116192
#> 95 6 6.565455 1.5186493 -0.37234044 0.70963939
#> 96 2 2.855152 0.8722689 -0.98037608 0.32690051
#> 97 15 15.841212 2.4451048 -0.34403928 0.73081674
#> 98 16 21.406667 2.8373687 -1.90552133 0.05671234
#> 99 7 5.947071 1.4323964 0.73508234 0.46228935
#> 100 0 1.000000 NaN NaN NaN
plot(lsrq, coor = cbind(cx,cy), sig = 0.05)
lsrq <- local.sp.runs.test(fx = fx, listw = dis, data = )
print(lsrq)
#> runs.i E.i Std.i z.value p.value
#> 1 2 2.855152 0.8722689 -0.98037608 0.32690051
#> 2 4 4.091919 1.1317511 -0.08121856 0.93526814
#> 3 5 3.473535 1.0106752 1.51034151 0.13095630
#> 4 5 3.473535 1.0106752 1.51034151 0.13095630
#> 5 18 14.604444 2.3462098 1.44725143 0.14782652
#> 6 15 14.604444 2.3462098 0.16859343 0.86611645
#> 7 21 22.643434 2.9150932 -0.56376735 0.57291248
#> 8 3 2.236768 0.7064182 1.08042568 0.27995266
#> 9 4 3.473535 1.0106752 0.52090392 0.60243371
#> 10 0 1.000000 NaN NaN NaN
#> 11 21 22.025051 2.8765991 -0.35634111 0.72158513
#> 12 0 1.000000 NaN NaN NaN
#> 13 8 10.275758 1.9514092 -1.16621238 0.24352859
#> 14 0 1.000000 NaN NaN NaN
#> 15 0 1.000000 NaN NaN NaN
#> 16 0 1.000000 NaN NaN NaN
#> 17 6 5.328687 1.3401523 0.50092302 0.61642530
#> 18 4 3.473535 1.0106752 0.52090392 0.60243371
#> 19 18 17.696364 2.5846046 0.11747885 0.90648061
#> 20 2 2.855152 0.8722689 -0.98037608 0.32690051
#> 21 5 3.473535 1.0106752 1.51034151 0.13095630
#> 22 2 2.236768 0.7064182 -0.33516646 0.73749952
#> 23 25 23.261818 2.9528798 0.58863955 0.55610310
#> 24 8 7.183838 1.5998803 0.51013918 0.60995396
#> 25 8 10.275758 1.9514092 -1.16621238 0.24352859
#> 26 0 1.000000 NaN NaN NaN
#> 27 3 3.473535 1.0106752 -0.46853368 0.63940299
#> 28 2 2.236768 0.7064182 -0.33516646 0.73749952
#> 29 0 1.000000 NaN NaN NaN
#> 30 25 24.498586 3.0264361 0.16567808 0.86841029
#> 31 3 2.236768 0.7064182 1.08042568 0.27995266
#> 32 3 4.091919 1.1317511 -0.96480505 0.33464246
#> 33 3 2.855152 0.8722689 0.16605945 0.86811017
#> 34 8 9.038990 1.8199699 -0.57088300 0.56807895
#> 35 5 3.473535 1.0106752 1.51034151 0.13095630
#> 36 6 7.183838 1.5998803 -0.73995436 0.45932769
#> 37 7 8.420606 1.7500327 -0.81175974 0.41692951
#> 38 3 2.855152 0.8722689 0.16605945 0.86811017
#> 39 0 1.000000 NaN NaN NaN
#> 40 5 3.473535 1.0106752 1.51034151 0.13095630
#> 41 1 1.618384 0.4857831 -1.27296272 0.20303127
#> 42 8 9.038990 1.8199699 -0.57088300 0.56807895
#> 43 7 6.565455 1.5186493 0.28613944 0.77477133
#> 44 7 9.038990 1.8199699 -1.12034263 0.26256778
#> 45 1 2.236768 0.7064182 -1.75075861 0.07998750
#> 46 2 2.855152 0.8722689 -0.98037608 0.32690051
#> 47 5 6.565455 1.5186493 -1.03082032 0.30262509
#> 48 5 7.183838 1.5998803 -1.36500113 0.17225270
#> 49 12 10.275758 1.9514092 0.88358834 0.37691847
#> 50 7 7.802222 1.6768193 -0.47841899 0.63235202
#> 51 4 3.473535 1.0106752 0.52090392 0.60243371
#> 52 8 6.565455 1.5186493 0.94461932 0.34485326
#> 53 4 4.710303 1.2405813 -0.57255663 0.56694493
#> 54 8 9.657374 1.8869954 -0.87831360 0.37977356
#> 55 5 7.802222 1.6768193 -1.67115332 0.09469140
#> 56 3 2.236768 0.7064182 1.08042568 0.27995266
#> 57 5 4.091919 1.1317511 0.80236794 0.42234015
#> 58 0 1.000000 NaN NaN NaN
#> 59 0 1.000000 NaN NaN NaN
#> 60 3 5.328687 1.3401523 -1.73762855 0.08227629
#> 61 10 8.420606 1.7500327 0.90249398 0.36679452
#> 62 7 7.802222 1.6768193 -0.47841899 0.63235202
#> 63 0 1.000000 NaN NaN NaN
#> 64 12 11.512525 2.0733657 0.23511277 0.81412121
#> 65 10 10.894141 2.0134619 -0.44408161 0.65698359
#> 66 8 10.275758 1.9514092 -1.16621238 0.24352859
#> 67 0 1.000000 NaN NaN NaN
#> 68 6 5.328687 1.3401523 0.50092302 0.61642530
#> 69 0 1.000000 NaN NaN NaN
#> 70 5 3.473535 1.0106752 1.51034151 0.13095630
#> 71 6 9.657374 1.8869954 -1.93819959 0.05259888
#> 72 5 3.473535 1.0106752 1.51034151 0.13095630
#> 73 2 2.236768 0.7064182 -0.33516646 0.73749952
#> 74 4 2.855152 0.8722689 1.31249497 0.18935318
#> 75 14 16.459596 2.4927161 -0.98671322 0.32378325
#> 76 8 6.565455 1.5186493 0.94461932 0.34485326
#> 77 3 3.473535 1.0106752 -0.46853368 0.63940299
#> 78 18 20.788283 2.7973712 -0.99675111 0.31888533
#> 79 6 5.947071 1.4323964 0.03695157 0.97052362
#> 80 2 2.855152 0.8722689 -0.98037608 0.32690051
#> 81 6 7.802222 1.6768193 -1.07478616 0.28247048
#> 82 14 12.749293 2.1874260 0.57177115 0.56747702
#> 83 0 1.000000 NaN NaN NaN
#> 84 4 4.091919 1.1317511 -0.08121856 0.93526814
#> 85 17 17.696364 2.5846046 -0.26942754 0.78760070
#> 86 8 7.183838 1.5998803 0.51013918 0.60995396
#> 87 3 4.091919 1.1317511 -0.96480505 0.33464246
#> 88 0 1.000000 NaN NaN NaN
#> 89 0 1.000000 NaN NaN NaN
#> 90 4 3.473535 1.0106752 0.52090392 0.60243371
#> 91 1 1.618384 0.4857831 -1.27296272 0.20303127
#> 92 13 11.512525 2.0733657 0.71742037 0.47311476
#> 93 17 17.696364 2.5846046 -0.26942754 0.78760070
#> 94 4 6.565455 1.5186493 -1.68930020 0.09116192
#> 95 6 6.565455 1.5186493 -0.37234044 0.70963939
#> 96 2 2.855152 0.8722689 -0.98037608 0.32690051
#> 97 15 15.841212 2.4451048 -0.34403928 0.73081674
#> 98 16 21.406667 2.8373687 -1.90552133 0.05671234
#> 99 7 5.947071 1.4323964 0.73508234 0.46228935
#> 100 0 1.000000 NaN NaN NaN
plot(lsrq, sf = coor)
# Version boots
lsrq <- local.sp.runs.test(fx = fx, listw = dis, data = coor,
distr ="bootstrap", nsim = 299)
#> Warning: style is M (missing); style should be set to a valid value
#> Warning: no-neighbour observations found, set zero.policy to TRUE;
#> this warning will soon become an error
#> Warning: neighbour object has 18 sub-graphs
print(lsrq)
#> SRQ EP.i SdP.i zseudo.value pseudo.value
#> 1 2 2.812709 0.8737632 -0.93012506 0.35230634
#> 2 4 4.053512 1.1456715 -0.04670772 0.96274618
#> 3 5 3.632107 0.9788566 1.39743955 0.16228143
#> 4 5 3.555184 1.0064214 1.43559745 0.15111692
#> 5 18 14.668896 2.4123708 1.38084234 0.16732744
#> 6 15 14.779264 2.4118217 0.09152243 0.92707748
#> 7 21 22.642140 2.9936785 -0.54853602 0.58332391
#> 8 3 2.187291 0.6939617 1.17111503 0.24155254
#> 9 4 3.521739 1.0242180 0.46695223 0.64053406
#> 10 0 0.000000 0.0000000 NaN NaN
#> 11 21 21.963211 2.6334167 -0.36576463 0.71454071
#> 12 0 0.000000 0.0000000 NaN NaN
#> 13 8 10.173913 1.9907138 -1.09202692 0.27482127
#> 14 0 0.000000 0.0000000 NaN NaN
#> 15 0 0.000000 0.0000000 NaN NaN
#> 16 0 0.000000 0.0000000 NaN NaN
#> 17 6 5.424749 1.3223135 0.43503363 0.66353802
#> 18 4 3.602007 1.0291699 0.38671295 0.69896873
#> 19 18 17.685619 2.5570328 0.12294769 0.90214852
#> 20 2 2.812709 0.8660481 -0.93841098 0.34803325
#> 21 5 3.535117 1.0303796 1.42169250 0.15511554
#> 22 2 2.217391 0.7301502 -0.29773504 0.76590540
#> 23 25 23.234114 3.0209626 0.58454424 0.55885421
#> 24 8 7.367893 1.6542925 0.38210112 0.70238636
#> 25 8 10.277592 2.0049937 -1.13595969 0.25597343
#> 26 0 0.000000 0.0000000 NaN NaN
#> 27 3 3.585284 0.9874638 -0.59271468 0.55337212
#> 28 2 2.224080 0.6755227 -0.33171389 0.74010531
#> 29 0 0.000000 0.0000000 NaN NaN
#> 30 25 24.491639 3.3068614 0.15372921 0.87782325
#> 31 3 2.220736 0.6937676 1.12323516 0.26133763
#> 32 3 4.086957 1.1581910 -0.93849502 0.34799007
#> 33 3 2.832776 0.8816527 0.18967116 0.84956682
#> 34 8 9.120401 1.8370402 -0.60989485 0.54193147
#> 35 5 3.531773 1.0530368 1.39427935 0.16323326
#> 36 6 7.086957 1.6381967 -0.66350795 0.50700529
#> 37 7 8.277592 1.7684406 -0.72243986 0.47002409
#> 38 3 2.949833 0.8978862 0.05587259 0.95544331
#> 39 0 0.000000 0.0000000 NaN NaN
#> 40 5 3.518395 1.0044345 1.47506416 0.14019529
#> 41 1 1.658863 0.4748861 -1.38741238 0.16531605
#> 42 8 8.989967 1.8050729 -0.54843577 0.58339272
#> 43 7 6.397993 1.6380939 0.36750438 0.71324282
#> 44 7 8.829431 1.8702017 -0.97820008 0.32797538
#> 45 1 2.224080 0.6902646 -1.77334941 0.07617083
#> 46 2 2.809365 0.8594789 -0.94169218 0.34635026
#> 47 5 6.662207 1.4914555 -1.11448675 0.26507042
#> 48 5 7.133779 1.7210197 -1.23983430 0.21503669
#> 49 12 10.117057 1.7560089 1.07228567 0.28359174
#> 50 7 7.832776 1.7317009 -0.48090056 0.63058717
#> 51 4 3.521739 0.9772731 0.48938302 0.62457055
#> 52 8 6.424749 1.4712649 1.07067794 0.28431427
#> 53 4 4.785953 1.2562608 -0.62562897 0.53155833
#> 54 8 9.581940 1.8866739 -0.83848077 0.40176075
#> 55 5 7.909699 1.7728015 -1.64129996 0.10073516
#> 56 3 2.204013 0.7476028 1.06471856 0.28700331
#> 57 5 4.020067 1.1699246 0.83760367 0.40225333
#> 58 0 0.000000 0.0000000 NaN NaN
#> 59 0 0.000000 0.0000000 NaN NaN
#> 60 3 5.287625 1.3699363 -1.66987718 0.09494367
#> 61 10 8.458194 1.6990201 0.90746781 0.36415947
#> 62 7 7.709030 1.8150061 -0.39064889 0.69605679
#> 63 0 0.000000 0.0000000 NaN NaN
#> 64 12 11.384615 2.1463010 0.28671869 0.77432773
#> 65 10 10.856187 2.0090534 -0.42616453 0.66998796
#> 66 8 10.351171 1.9696754 -1.19368429 0.23260149
#> 67 0 0.000000 0.0000000 NaN NaN
#> 68 6 5.441472 1.3180799 0.42374397 0.67175254
#> 69 0 0.000000 0.0000000 NaN NaN
#> 70 5 3.558528 1.0028914 1.43731575 0.15062830
#> 71 6 9.511706 1.8288415 -1.92018046 0.05483511
#> 72 5 3.377926 1.0965081 1.47930840 0.13905791
#> 73 2 2.240803 0.7204170 -0.33425456 0.73818748
#> 74 4 2.859532 0.8671877 1.31513420 0.18846481
#> 75 14 16.404682 2.4191861 -0.99400468 0.32022059
#> 76 8 6.458194 1.4426712 1.06871618 0.28519758
#> 77 3 3.625418 0.9519440 -0.65699039 0.51118710
#> 78 18 20.792642 2.5124815 -1.11150756 0.26634994
#> 79 6 5.909699 1.5067654 0.05993037 0.95221109
#> 80 2 2.856187 0.8914509 -0.96044243 0.33683259
#> 81 6 7.762542 1.7360571 -1.01525568 0.30998397
#> 82 14 12.789298 1.8999521 0.63722783 0.52397646
#> 83 0 0.000000 0.0000000 NaN NaN
#> 84 4 4.103679 1.1697903 -0.08863036 0.92937568
#> 85 17 17.715719 2.3664575 -0.30244323 0.76231420
#> 86 8 7.210702 1.5691294 0.50301631 0.61495281
#> 87 3 4.073579 1.1386753 -0.94283119 0.34576725
#> 88 0 0.000000 0.0000000 NaN NaN
#> 89 0 0.000000 0.0000000 NaN NaN
#> 90 4 3.588629 1.0271504 0.40049755 0.68879009
#> 91 1 1.622074 0.4856820 -1.28082498 0.20025515
#> 92 13 11.311037 1.8209017 0.92754220 0.35364509
#> 93 17 17.591973 2.4795951 -0.23873787 0.81130885
#> 94 4 6.555184 1.5014975 -1.70175700 0.08880093
#> 95 6 6.474916 1.6101210 -0.29495696 0.76802676
#> 96 2 2.832776 0.8585120 -0.97002240 0.33203533
#> 97 15 15.829431 2.3475684 -0.35331514 0.72385220
#> 98 16 21.401338 2.7366758 -1.97368570 0.04841749
#> 99 7 5.862876 1.4987444 0.75871762 0.44802150
#> 100 0 0.000000 0.0000000 NaN NaN
plot(lsrq, sf = coor)
# SRQ test based on inverse distance
data("FastFood.sf")
# sf::sf_use_s2(FALSE)
n = dim(FastFood.sf)[1]
dis <- 1000000/matrix(as.numeric(
sf::st_distance(FastFood.sf, FastFood.sf)),
ncol = n, nrow = n)
diag(dis) <- 0
dis <- (dis < quantile(dis,.01))*dis
formula <- ~ Type
lsrq <- local.sp.runs.test(formula = formula, data = FastFood.sf, listw = dis)
#> Warning: style is M (missing); style should be set to a valid value
#> Warning: no-neighbour observations found, set zero.policy to TRUE;
#> this warning will soon become an error
#> Warning: neighbour object has 436 sub-graphs
print(lsrq)
#> runs.i E.i Std.i z.value p.value
#> 1 16 19.004428 2.44850757 -1.227045e+00 0.21980579
#> 2 30 31.674211 3.19588410 -5.238648e-01 0.60037261
#> 3 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 4 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 5 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 6 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 7 10 11.002460 1.82503944 -5.492814e-01 0.58281238
#> 8 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 9 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 10 4 5.000984 1.15429461 -8.671825e-01 0.38584204
#> 11 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 12 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 13 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 14 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 15 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 16 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 17 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 18 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 19 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 20 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 21 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 22 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 23 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 24 8 9.001968 1.63237562 -6.138098e-01 0.53934104
#> 25 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 26 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 27 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 28 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 29 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 30 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 31 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 32 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 33 11 9.668799 1.69902630 7.835083e-01 0.43332868
#> 34 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 35 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 36 14 15.003444 2.15939578 -4.646875e-01 0.64215528
#> 37 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 38 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 39 39 33.007872 3.26461537 1.835477e+00 0.06643499
#> 40 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 41 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 42 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 43 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 44 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 45 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 46 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 47 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 48 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 49 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 50 5 5.000984 1.15429461 -8.525138e-04 0.99931979
#> 51 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 52 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 53 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 54 16 17.670767 2.35608263 -7.091292e-01 0.47824433
#> 55 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 56 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 57 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 58 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 59 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 60 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 61 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 62 10 9.001968 1.63237562 6.113984e-01 0.54093584
#> 63 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 64 18 15.670275 2.21020923 1.054074e+00 0.29184882
#> 65 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 66 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 67 33 36.342026 3.43042252 -9.742315e-01 0.32994159
#> 68 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 69 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 70 94 87.021157 5.35156194 1.304076e+00 0.19220771
#> 71 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 72 21 17.670767 2.35608263 1.413038e+00 0.15764470
#> 73 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 74 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 75 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 76 32 35.008364 3.36508045 -8.939948e-01 0.37132467
#> 77 49 41.676671 3.68020424 1.989925e+00 0.04659925
#> 78 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 79 4 4.334153 1.05373221 -3.171141e-01 0.75115700
#> 80 46 37.675687 3.49454267 2.382089e+00 0.01721472
#> 81 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 82 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 83 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 84 188 177.043298 7.65503034 1.431307e+00 0.15234213
#> 85 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 86 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 87 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 88 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 89 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 90 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 91 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 92 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 93 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 94 4 4.334153 1.05373221 -3.171141e-01 0.75115700
#> 95 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 96 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 97 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 98 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 99 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 100 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 101 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 102 4 4.334153 1.05373221 -3.171141e-01 0.75115700
#> 103 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 104 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 105 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 106 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 107 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 108 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 109 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 110 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 111 21 20.338090 2.53756790 2.608444e-01 0.79421249
#> 112 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 113 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 114 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 115 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 116 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 117 19 21.004920 2.58094570 -7.768161e-01 0.43726726
#> 118 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 119 4 5.000984 1.15429461 -8.671825e-01 0.38584204
#> 120 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 121 29 28.340058 3.01721207 2.187259e-01 0.82686360
#> 122 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 123 8 8.335137 1.56288494 -2.144351e-01 0.83020775
#> 124 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 125 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 126 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 127 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 128 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 129 86 75.685036 4.98654707 2.068559e+00 0.03858754
#> 130 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 131 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 132 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 133 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 134 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 135 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 136 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 137 25 25.672735 2.86626456 -2.347079e-01 0.81443544
#> 138 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 139 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 140 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 141 7 6.334645 1.33284778 4.991977e-01 0.61764009
#> 142 4 3.667323 0.94250012 3.529732e-01 0.72410852
#> 143 6 6.334645 1.33284778 -2.510755e-01 0.80175575
#> 144 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 145 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 146 10 7.668307 1.49015700 1.564730e+00 0.11764625
#> 147 10 9.668799 1.69902630 1.949359e-01 0.84544313
#> 148 15 12.336121 1.94289607 1.371086e+00 0.17034800
#> 149 9 8.335137 1.56288494 4.254072e-01 0.67053983
#> 150 30 28.340058 3.01721207 5.501577e-01 0.58221125
#> 151 10 7.668307 1.49015700 1.564730e+00 0.11764625
#> 152 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 153 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 154 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 155 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 156 6 7.668307 1.49015700 -1.119551e+00 0.26290515
#> 157 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 158 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 159 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 160 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 161 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 162 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 163 4 4.334153 1.05373221 -3.171141e-01 0.75115700
#> 164 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 165 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 166 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 167 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 168 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 169 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 170 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 171 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 172 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 173 15 12.336121 1.94289607 1.371086e+00 0.17034800
#> 174 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 175 7 7.668307 1.49015700 -4.484808e-01 0.65380626
#> 176 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 177 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 178 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 179 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 180 16 19.004428 2.44850757 -1.227045e+00 0.21980579
#> 181 4 4.334153 1.05373221 -3.171141e-01 0.75115700
#> 182 6 7.668307 1.49015700 -1.119551e+00 0.26290515
#> 183 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 184 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 185 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 186 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 187 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 188 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 189 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 190 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 191 4 3.667323 0.94250012 3.529732e-01 0.72410852
#> 192 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 193 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 194 7 7.668307 1.49015700 -4.484808e-01 0.65380626
#> 195 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 196 10 11.002460 1.82503944 -5.492814e-01 0.58281238
#> 197 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 198 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 199 10 9.668799 1.69902630 1.949359e-01 0.84544313
#> 200 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 201 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 202 36 35.008364 3.36508045 2.946841e-01 0.76823524
#> 203 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 204 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 205 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 206 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 207 45 37.675687 3.49454267 2.095929e+00 0.03608850
#> 208 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 209 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 210 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 211 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 212 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 213 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 214 25 25.672735 2.86626456 -2.347079e-01 0.81443544
#> 215 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 216 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 217 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 218 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 219 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 220 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 221 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 222 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 223 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 224 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 225 23 19.671259 2.49343546 1.335002e+00 0.18187572
#> 226 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 227 15 15.670275 2.21020923 -3.032631e-01 0.76168938
#> 228 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 229 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 230 11 9.668799 1.69902630 7.835083e-01 0.43332868
#> 231 33 36.342026 3.43042252 -9.742315e-01 0.32994159
#> 232 13 11.669291 1.88488922 7.059880e-01 0.48019559
#> 233 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 234 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 235 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 236 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 237 8 8.335137 1.56288494 -2.144351e-01 0.83020775
#> 238 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 239 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 240 6 7.668307 1.49015700 -1.119551e+00 0.26290515
#> 241 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 242 6 5.000984 1.15429461 8.654774e-01 0.38677679
#> 243 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 244 188 177.043298 7.65503034 1.431307e+00 0.15234213
#> 245 33 36.342026 3.43042252 -9.742315e-01 0.32994159
#> 246 10 9.668799 1.69902630 1.949359e-01 0.84544313
#> 247 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 248 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 249 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 250 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 251 7 6.334645 1.33284778 4.991977e-01 0.61764009
#> 252 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 253 5 5.000984 1.15429461 -8.525138e-04 0.99931979
#> 254 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 255 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 256 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 257 49 41.676671 3.68020424 1.989925e+00 0.04659925
#> 258 10 7.668307 1.49015700 1.564730e+00 0.11764625
#> 259 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 260 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 261 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 262 8 8.335137 1.56288494 -2.144351e-01 0.83020775
#> 263 8 8.335137 1.56288494 -2.144351e-01 0.83020775
#> 264 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 265 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 266 7 6.334645 1.33284778 4.991977e-01 0.61764009
#> 267 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 268 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 269 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 270 2 3.000492 0.81624798 -1.225721e+00 0.22030381
#> 271 10 9.668799 1.69902630 1.949359e-01 0.84544313
#> 272 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 273 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 274 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 275 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 276 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 277 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 278 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 279 9 8.335137 1.56288494 4.254072e-01 0.67053983
#> 280 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 281 24 23.005412 2.70691089 3.674254e-01 0.71330176
#> 282 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 283 15 12.336121 1.94289607 1.371086e+00 0.17034800
#> 284 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 285 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 286 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 287 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 288 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 289 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 290 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 291 3 3.667323 0.94250012 -7.080346e-01 0.47892377
#> 292 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 293 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 294 16 17.670767 2.35608263 -7.091292e-01 0.47824433
#> 295 5 5.000984 1.15429461 -8.525138e-04 0.99931979
#> 296 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 297 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 298 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 299 17 15.670275 2.21020923 6.016286e-01 0.54742137
#> 300 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 301 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 302 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 303 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 304 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 305 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 306 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 307 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 308 8 8.335137 1.56288494 -2.144351e-01 0.83020775
#> 309 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 310 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 311 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 312 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 313 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 314 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 315 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 316 5 5.000984 1.15429461 -8.525138e-04 0.99931979
#> 317 10 7.668307 1.49015700 1.564730e+00 0.11764625
#> 318 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 319 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 320 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 321 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 322 38 35.008364 3.36508045 8.890235e-01 0.37399046
#> 323 34 35.008364 3.36508045 -2.996554e-01 0.76444004
#> 324 33 30.340550 3.12564144 8.508494e-01 0.39485299
#> 325 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 326 26 23.672243 2.74761605 8.471915e-01 0.39688838
#> 327 36 32.341042 3.23043258 1.132653e+00 0.25736012
#> 328 8 8.335137 1.56288494 -2.144351e-01 0.83020775
#> 329 24 24.339074 2.78772681 -1.216309e-01 0.90319136
#> 330 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 331 89 83.687004 5.24684304 1.012608e+00 0.31124734
#> 332 7 6.334645 1.33284778 4.991977e-01 0.61764009
#> 333 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 334 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 335 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 336 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 337 11 9.668799 1.69902630 7.835083e-01 0.43332868
#> 338 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 339 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 340 14 11.669291 1.88488922 1.236523e+00 0.21626416
#> 341 10 7.668307 1.49015700 1.564730e+00 0.11764625
#> 342 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 343 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 344 3 3.667323 0.94250012 -7.080346e-01 0.47892377
#> 345 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 346 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 347 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 348 9 8.335137 1.56288494 4.254072e-01 0.67053983
#> 349 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 350 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 351 17 15.670275 2.21020923 6.016286e-01 0.54742137
#> 352 38 33.007872 3.26461537 1.529163e+00 0.12622415
#> 353 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 354 26 25.005904 2.82726846 3.516099e-01 0.72513081
#> 355 10 7.668307 1.49015700 1.564730e+00 0.11764625
#> 356 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 357 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 358 47 44.343994 3.79893944 6.991441e-01 0.48446198
#> 359 10 7.668307 1.49015700 1.564730e+00 0.11764625
#> 360 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 361 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 362 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 363 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 364 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 365 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 366 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 367 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 368 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 369 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 370 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 371 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 372 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 373 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 374 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 375 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 376 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 377 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 378 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 379 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 380 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 381 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 382 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 383 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 384 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 385 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 386 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 387 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 388 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 389 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 390 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 391 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 392 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 393 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 394 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 395 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 396 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 397 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 398 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 399 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 400 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 401 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 402 45 38.342518 3.52616541 1.888023e+00 0.05902283
#> 403 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 404 42 45.010825 3.82804764 -7.865170e-01 0.43156466
#> 405 3 3.667323 0.94250012 -7.080346e-01 0.47892377
#> 406 8 9.001968 1.63237562 -6.138098e-01 0.53934104
#> 407 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 408 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 409 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 410 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 411 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 412 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 413 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 414 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 415 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 416 32 35.008364 3.36508045 -8.939948e-01 0.37132467
#> 417 36 35.008364 3.36508045 2.946841e-01 0.76823524
#> 418 31 31.674211 3.19588410 -2.109623e-01 0.83291669
#> 419 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 420 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 421 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 422 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 423 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 424 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 425 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 426 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 427 5 4.334153 1.05373221 6.318936e-01 0.52745642
#> 428 36 34.341534 3.33192879 4.977496e-01 0.61866054
#> 429 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 430 21 17.670767 2.35608263 1.413038e+00 0.15764470
#> 431 25 23.005412 2.70691089 7.368502e-01 0.46121348
#> 432 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 433 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 434 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 435 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 436 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 437 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 438 26 24.339074 2.78772681 5.957995e-01 0.55130915
#> 439 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 440 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 441 7 5.667815 1.24677180 1.068508e+00 0.28529156
#> 442 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 443 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 444 8 7.001476 1.41369228 7.063234e-01 0.47998705
#> 445 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 446 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 447 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 448 10 7.668307 1.49015700 1.564730e+00 0.11764625
#> 449 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 450 6 6.334645 1.33284778 -2.510755e-01 0.80175575
#> 451 3 3.667323 0.94250012 -7.080346e-01 0.47892377
#> 452 7 6.334645 1.33284778 4.991977e-01 0.61764009
#> 453 3 3.667323 0.94250012 -7.080346e-01 0.47892377
#> 454 10 7.668307 1.49015700 1.564730e+00 0.11764625
#> 455 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 456 10 7.668307 1.49015700 1.564730e+00 0.11764625
#> 457 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 458 11 9.668799 1.69902630 7.835083e-01 0.43332868
#> 459 10 7.668307 1.49015700 1.564730e+00 0.11764625
#> 460 5 5.667815 1.24677180 -5.356351e-01 0.59221077
#> 461 3 4.334153 1.05373221 -1.266122e+00 0.20546946
#> 462 9 8.335137 1.56288494 4.254072e-01 0.67053983
#> 463 20 20.338090 2.53756790 -1.332337e-01 0.89400855
#> 464 11 9.668799 1.69902630 7.835083e-01 0.43332868
#> 465 18 14.336614 2.10735730 1.738379e+00 0.08214399
#> 466 44 37.675687 3.49454267 1.809768e+00 0.07033171
#> 467 10 9.668799 1.69902630 1.949359e-01 0.84544313
#> 468 31 28.340058 3.01721207 8.815894e-01 0.37799887
#> 469 46 37.675687 3.49454267 2.382089e+00 0.01721472
#> 470 9 9.001968 1.63237562 -1.205669e-03 0.99903802
#> 471 18 19.671259 2.49343546 -6.702636e-01 0.50268980
#> 472 9 9.001968 1.63237562 -1.205669e-03 0.99903802
#> 473 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 474 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 475 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 476 7 8.335137 1.56288494 -8.542775e-01 0.39295125
#> 477 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 478 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 479 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 480 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 481 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 482 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 483 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 484 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 485 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 486 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 487 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 488 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 489 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 490 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 491 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 492 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 493 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 494 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 495 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 496 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 497 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 498 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 499 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 500 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 501 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 502 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 503 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 504 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 505 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 506 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 507 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 508 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 509 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 510 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 511 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 512 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 513 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 514 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 515 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 516 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 517 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 518 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 519 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 520 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 521 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 522 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 523 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 524 2 1.666831 0.47134650 7.068459e-01 0.47966227
#> 525 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 526 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 527 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 528 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 529 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 530 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 531 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 532 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 533 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 534 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 535 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 536 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 537 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 538 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 539 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 540 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 541 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 542 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 543 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 544 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 545 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 546 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 547 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 548 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 549 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 550 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 551 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 552 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 553 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 554 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 555 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 556 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 557 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 558 11 10.335629 1.76315909 3.768069e-01 0.70631710
#> 559 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 560 7 6.334645 1.33284778 4.991977e-01 0.61764009
#> 561 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 562 8 8.335137 1.56288494 -2.144351e-01 0.83020775
#> 563 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 564 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 565 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 566 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 567 93 87.021157 5.35156194 1.117215e+00 0.26390260
#> 568 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 569 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 570 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 571 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 572 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 573 76 73.684544 4.91932012 4.706863e-01 0.63786480
#> 574 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 575 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 576 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 577 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 578 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 579 17 17.670767 2.35608263 -2.846958e-01 0.77587719
#> 580 9 11.002460 1.82503944 -1.097215e+00 0.27254754
#> 581 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 582 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 583 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 584 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 585 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 586 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 587 4 3.667323 0.94250012 3.529732e-01 0.72410852
#> 588 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 589 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 590 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 591 4 5.667815 1.24677180 -1.337706e+00 0.18099214
#> 592 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 593 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 594 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 595 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 596 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 597 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 598 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 599 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 600 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 601 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 602 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 603 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 604 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 605 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 606 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 607 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 608 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 609 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 610 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 611 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 612 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 613 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 614 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 615 45 36.342026 3.43042252 2.523880e+00 0.01160676
#> 616 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 617 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 618 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 619 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 620 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 621 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 622 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 623 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 624 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 625 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 626 45 42.343502 3.71024441 7.159901e-01 0.47399748
#> 627 6 6.334645 1.33284778 -2.510755e-01 0.80175575
#> 628 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 629 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 630 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 631 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 632 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 633 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 634 5 4.334153 1.05373221 6.318936e-01 0.52745642
#> 635 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 636 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 637 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 638 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 639 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 640 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 641 10 9.668799 1.69902630 1.949359e-01 0.84544313
#> 642 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 643 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 644 28 26.339566 2.90473707 5.716298e-01 0.56757279
#> 645 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 646 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 647 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 648 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 649 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 650 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 651 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 652 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 653 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 654 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 655 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 656 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 657 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 658 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 659 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 660 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 661 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 662 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 663 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 664 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 665 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 666 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 667 32 31.007380 3.16095794 3.140249e-01 0.75350210
#> 668 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 669 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 670 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 671 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 672 17 17.003936 2.30848272 -1.705106e-03 0.99863952
#> 673 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 674 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 675 15 19.004428 2.44850757 -1.635457e+00 0.10195333
#> 676 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 677 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 678 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 679 20 17.670767 2.35608263 9.886042e-01 0.32285684
#> 680 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 681 46 39.009348 3.55750697 1.965042e+00 0.04940935
#> 682 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 683 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 684 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 685 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 686 14 12.336121 1.94289607 8.563909e-01 0.39178159
#> 687 25 24.339074 2.78772681 2.370843e-01 0.81259136
#> 688 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 689 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 690 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 691 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 692 39 36.342026 3.43042252 7.748241e-01 0.43844358
#> 693 41 34.341534 3.33192879 1.998382e+00 0.04567527
#> 694 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 695 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 696 4 5.000984 1.15429461 -8.671825e-01 0.38584204
#> 697 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 698 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 699 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 700 9 9.001968 1.63237562 -1.205669e-03 0.99903802
#> 701 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 702 75 73.684544 4.91932012 2.674061e-01 0.78915648
#> 703 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 704 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 705 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 706 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 707 17 20.338090 2.53756790 -1.315468e+00 0.18835264
#> 708 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 709 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 710 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 711 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 712 4 3.667323 0.94250012 3.529732e-01 0.72410852
#> 713 7 6.334645 1.33284778 4.991977e-01 0.61764009
#> 714 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 715 21 20.338090 2.53756790 2.608444e-01 0.79421249
#> 716 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 717 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 718 226 223.721446 8.60988206 2.646441e-01 0.79128365
#> 719 17 19.004428 2.44850757 -8.186326e-01 0.41299603
#> 720 85 77.018697 5.03086568 1.586467e+00 0.11263338
#> 721 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 722 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 723 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 724 29 25.672735 2.86626456 1.160837e+00 0.24570833
#> 725 26 25.672735 2.86626456 1.141782e-01 0.90909651
#> 726 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 727 47 44.343994 3.79893944 6.991441e-01 0.48446198
#> 728 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 729 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 730 9 9.668799 1.69902630 -3.936365e-01 0.69384942
#> 731 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 732 4 5.000984 1.15429461 -8.671825e-01 0.38584204
#> 733 5 4.334153 1.05373221 6.318936e-01 0.52745642
#> 734 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 735 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 736 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 737 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 738 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 739 51 41.676671 3.68020424 2.533373e+00 0.01129708
#> 740 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 741 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 742 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 743 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 744 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 745 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 746 33 35.008364 3.36508045 -5.968251e-01 0.55062417
#> 747 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 748 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 749 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 750 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 751 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 752 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 753 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 754 32 31.674211 3.19588410 1.019402e-01 0.91880417
#> 755 10 9.668799 1.69902630 1.949359e-01 0.84544313
#> 756 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 757 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 758 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 759 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 760 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 761 6 6.334645 1.33284778 -2.510755e-01 0.80175575
#> 762 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 763 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 764 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 765 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 766 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 767 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 768 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 769 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 770 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 771 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 772 18 14.336614 2.10735730 1.738379e+00 0.08214399
#> 773 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 774 7 6.334645 1.33284778 4.991977e-01 0.61764009
#> 775 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 776 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 777 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 778 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 779 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 780 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 781 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 782 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 783 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 784 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 785 4 3.667323 0.94250012 3.529732e-01 0.72410852
#> 786 10 9.668799 1.69902630 1.949359e-01 0.84544313
#> 787 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 788 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 789 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 790 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 791 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 792 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 793 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 794 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 795 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 796 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 797 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 798 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 799 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 800 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 801 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 802 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 803 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 804 36 34.341534 3.33192879 4.977496e-01 0.61866054
#> 805 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 806 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 807 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 808 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 809 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 810 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 811 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 812 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 813 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 814 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 815 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 816 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 817 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 818 23 19.671259 2.49343546 1.335002e+00 0.18187572
#> 819 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 820 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 821 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 822 10 9.668799 1.69902630 1.949359e-01 0.84544313
#> 823 1 1.666831 0.47134650 -1.414736e+00 0.15714603
#> 824 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 825 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 826 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 827 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 828 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 829 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 830 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 831 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 832 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 833 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 834 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 835 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 836 9 7.668307 1.49015700 8.936597e-01 0.37150400
#> 837 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 838 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 839 19 21.004920 2.58094570 -7.768161e-01 0.43726726
#> 840 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 841 4 5.000984 1.15429461 -8.671825e-01 0.38584204
#> 842 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 843 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 844 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 845 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 846 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 847 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 848 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 849 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 850 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 851 4 3.667323 0.94250012 3.529732e-01 0.72410852
#> 852 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 853 7 7.668307 1.49015700 -4.484808e-01 0.65380626
#> 854 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 855 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 856 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 857 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 858 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 859 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 860 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 861 27 25.005904 2.82726846 7.053082e-01 0.48061845
#> 862 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 863 25 23.672243 2.74761605 4.832397e-01 0.62892558
#> 864 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 865 6 6.334645 1.33284778 -2.510755e-01 0.80175575
#> 866 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 867 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 868 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 869 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 870 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 871 19 17.003936 2.30848272 8.646648e-01 0.38722279
#> 872 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 873 0 1.000000 0.01095397 -9.129110e+01 0.00000000
#> 874 22 20.338090 2.53756790 6.549225e-01 0.51251763
#> 875 8 7.668307 1.49015700 2.225895e-01 0.82385504
#> 876 3 3.000492 0.81624798 -6.027899e-04 0.99951904
#> 877 14 16.337106 2.25988030 -1.034172e+00 0.30105564
# plot(lsrq, sf = FastFood.sf)
# }