Perform Flexible cFDR — flexible

Performs Flexible cFDR for continuous auxiliary covariates

flexible_cfdr(
  p,
  q,
  indep_index,
  res_p = 300,
  res_q = 500,
  nxbin = 1000,
  gridp = 50,
  splinecorr = TRUE,
  dist_thr = 0.5,
  locfdr_df = 10,
  plot = TRUE,
  maf = NULL,
  check_indep_cor = TRUE,
  enforce_p_q_cor = TRUE
)

Arguments

p	p-values for principal trait (vector of length n)
q	continuous auxiliary data values (vector of length n)
indep_index	indices of independent SNPs
res_p	number of grid points in x-direction (`p`) for KDE estimation
res_q	number of grid points in y-direction (`q`) for KDE estimation
nxbin	number of bins in x-direction (`p`) for hex-binning
gridp	number of data points required in a KDE grid point for left-censoring
splinecorr	logical value for whether spline correction should be implemented
dist_thr	distance threshold for spline correction
locfdr_df	`df` parameter in locfdr function
plot	logical value for whether to produce plots to assess KDE fit
maf	minor allele frequencies for SNPs to which `p` and `q` relate (optional and used to perform MAF matching)
check_indep_cor	check that sign of the correlation between `p` and `q` is the same in the independent subset as in the whole
enforce_p_q_cor	if `p` and `q` are negatively correlated, flip the sign on `q` values

Value

List of length two: (1) data.frame of p-values, q-values and v-values (2) data.frame of auxiliary data (q_low used for left censoring, how many data-points were left censored and/or spline corrected)

Details

If maf is specified, then the independent SNPs will be down-sampled to match the minor allele frequency distribution.

Examples

# \donttest{
# this is a long running example
 
# In this example, we generate some p-values (representing GWAS p-values)
# and some arbitrary auxiliary data values (e.g. representing functional genomic data).
# We use the flexible_cfdr() function to generate v-values using default parameter values.

# generate p
set.seed(1)
n <- 1000
n1p <- 50 
zp <- c(rnorm(n1p, sd=5), rnorm(n-n1p, sd=1))
p <- 2*pnorm(-abs(zp))

# generate q
mixture_comp1 <- function(x) rnorm(x, mean = -0.5, sd = 0.5)
mixture_comp2 <- function(x) rnorm(x, mean = 2, sd = 1)
q <- c(mixture_comp1(n1p), mixture_comp2(n-n1p))

n_indep <- n

flexible_cfdr(p, q, indep_index = 1:n_indep)
#> [[1]]
#>                 p             q            v
#> 1    1.734608e-03  0.0674825443 4.826891e-04
#> 2    3.585055e-01  0.0559659225 1.287012e-01
#> 3    2.938988e-05 -0.9353888168 3.541055e-06
#> 4    1.506582e-15 -0.3946342075 3.031918e-16
#> 5    9.944734e-02 -0.4653021763 1.812437e-02
#> 6    4.089893e-05 -1.3313244264 3.882494e-06
#> 7    1.480373e-02 -0.0945800099 3.554173e-03
#> 8    2.228271e-04 -1.4561728980 1.490741e-05
#> 9    3.990563e-03 -1.1233767144 3.533304e-04
#> 10   1.267755e-01 -0.0009227775 3.445266e-02
#> 11   4.064740e-14 -0.7704363723 5.522621e-15
#> 12   5.126961e-02 -0.6081878954 7.917187e-03
#> 13   1.895066e-03 -1.3109686464 1.413839e-04
#> 14   1.686822e-28 -1.2254819827 1.547672e-29
#> 15   1.858795e-08 -0.3245451347 3.971621e-09
#> 16   8.222375e-01 -0.5872734644 2.170879e-01
#> 17   9.354807e-01 -0.7957142351 2.100921e-01
#> 18   2.367960e-06 -1.1670136304 3.634295e-07
#> 19   4.023849e-05 -1.0486492506 4.397322e-06
#> 20   2.982784e-03  0.5180518047 1.398200e-03
#> 21   4.329841e-06 -0.6632447967 7.446736e-07
#> 22   9.203607e-05 -0.1129973940 2.059823e-05
#> 23   7.092788e-01 -0.1074967997 2.557355e-01
#> 24   2.605314e-23 -0.1183769598 6.497052e-24
#> 25   1.940907e-03 -0.3525956202 3.655632e-04
#> 26   7.789837e-01 -1.1261779621 1.257621e-01
#> 27   4.359929e-01 -1.0047518764 6.740839e-02
#> 28   1.927048e-13 -0.1243044027 4.114084e-14
#> 29   1.681398e-02 -1.1541767563 1.481905e-03
#> 30   3.664406e-02 -0.2362299515 7.782798e-03
#> 31   1.095229e-11 -0.7667697868 1.778142e-12
#> 32   6.072949e-01 -0.6991880070 1.388041e-01
#> 33   5.257955e-02 -0.8947847252 6.168563e-03
#> 34   7.879103e-01 -0.6150705681 2.030827e-01
#> 35   5.766678e-12 -0.0614075792 1.336909e-12
#> 36   3.798905e-02 -0.2731334112 7.815146e-03
#> 37   4.867245e-02 -0.6162320739 7.498629e-03
#> 38   7.667971e-01 -0.0649972377 2.841532e-01
#> 39   3.795181e-08  0.3280018671 1.275938e-08
#> 40   1.356991e-04 -0.5031844645 2.135148e-05
#> 41   4.107253e-01 -0.2647552734 1.206933e-01
#> 42   2.052238e-01 -0.3608906755 4.557213e-02
#> 43   4.924740e-04 -0.9889514705 5.068749e-05
#> 44   5.380637e-03 -0.9632930711 5.557238e-04
#> 45   5.736455e-04  0.4598852313 2.503953e-04
#> 46   4.039712e-04 -0.0593611061 9.578336e-05
#> 47   6.831705e-02 -0.1289591140 1.605711e-02
#> 48   1.217057e-04 -0.4262132980 2.045919e-05
#> 49   5.742993e-01 -0.2573057175 1.835326e-01
#> 50   1.055213e-05 -0.4240719802 1.920630e-06
#> 51   6.905521e-01  2.0419987541 7.550447e-01
#> 52   5.405203e-01  2.2234223119 6.575055e-01
#> 53   7.330135e-01  0.9895349140 5.463229e-01
#> 54   2.587447e-01  4.4012221020 4.527075e-01
#> 55   1.518511e-01  2.8019617903 2.916883e-01
#> 56   4.765861e-02  1.7487920410 7.487900e-02
#> 57   7.134538e-01  3.2128893708 8.663406e-01
#> 58   2.964231e-01  1.3727419140 2.879009e-01
#> 59   5.688679e-01  3.7111585075 7.657049e-01
#> 60   8.925687e-01  1.6056264470 8.338613e-01
#> 61   1.632275e-02 -0.3214908565 3.250268e-03
#> 62   9.686990e-01  3.3641191954 9.933277e-01
#> 63   4.903581e-01  3.1322291327 6.947377e-01
#> 64   9.776604e-01  1.2256836806 7.874114e-01
#> 65   4.573163e-01  0.5896250340 2.569394e-01
#> 66   8.502556e-01  0.1654724193 3.665973e-01
#> 67   7.108116e-02  1.7309864621 1.031506e-01
#> 68   1.427696e-01  0.1660714227 4.553370e-02
#> 69   8.781985e-01  1.1855319812 7.094045e-01
#> 70   2.980956e-02  2.1635721224 7.137729e-02
#> 71   6.344238e-01  2.8555192221 7.914633e-01
#> 72   4.777374e-01  1.1800368731 4.015521e-01
#> 73   5.413808e-01  1.8763972400 5.974050e-01
#> 74   3.502535e-01  2.2549482360 4.934659e-01
#> 75   2.099753e-01  3.7189263382 3.869722e-01
#> 76   7.707101e-01  1.0414564725 5.899586e-01
#> 77   6.575546e-01  0.3956897382 3.380677e-01
#> 78   9.991181e-01  0.1543905783 4.200187e-01
#> 79   9.407388e-01  2.5557371853 9.675931e-01
#> 80   5.555119e-01  1.9398808086 6.230748e-01
#> 81   5.695810e-01  2.7720863044 7.352009e-01
#> 82   8.924707e-01  1.8591606128 8.814170e-01
#> 83   2.387619e-01  2.3930939255 3.897848e-01
#> 84   1.276170e-01  2.2242185742 2.266858e-01
#> 85   5.525481e-01  2.0235419852 6.358973e-01
#> 86   7.391717e-01  1.3770373402 6.656368e-01
#> 87   2.877367e-01  3.2620093806 4.876853e-01
#> 88   7.609878e-01  1.5942259572 7.296709e-01
#> 89   7.113685e-01  2.6667637714 8.310565e-01
#> 90   7.893931e-01  2.1646391545 8.486314e-01
#> 91   5.874603e-01  3.7815244748 7.799065e-01
#> 92   2.270981e-01  2.7112139643 3.944711e-01
#> 93   2.458849e-01  1.6623088441 2.886098e-01
#> 94   4.837939e-01  1.9908510477 5.693428e-01
#> 95   1.125504e-01  1.8746907916 1.683245e-01
#> 96   5.765123e-01 -0.0908460970 2.055066e-01
#> 97   2.017463e-01  3.6973938948 3.750679e-01
#> 98   5.664650e-01  3.0638811545 7.560199e-01
#> 99   2.207212e-01  1.2333833638 1.971389e-01
#> 100  6.359274e-01  2.3820075592 7.531778e-01
#> 101  5.350164e-01  2.2418959036 6.559230e-01
#> 102  9.664063e-01  0.8672405889 6.528407e-01
#> 103  3.623367e-01  3.4899074137 5.712091e-01
#> 104  8.744341e-01  1.7517528950 8.503835e-01
#> 105  5.127352e-01  2.1835837079 6.289746e-01
#> 106  7.718013e-02  2.4048710094 1.638496e-01
#> 107  4.735546e-01  1.0058755307 3.543380e-01
#> 108  3.627306e-01  0.9145706704 2.500912e-01
#> 109  7.008411e-01  1.9514574455 7.483355e-01
#> 110  9.253470e-02  2.5760856005 1.934555e-01
#> 111  5.249482e-01  2.0738305318 6.214033e-01
#> 112  6.443361e-01  2.7059455713 7.860872e-01
#> 113  1.520631e-01  2.3349801034 2.702844e-01
#> 114  5.152425e-01  2.5453878059 6.714049e-01
#> 115  8.357125e-01  0.5970940941 4.876853e-01
#> 116  6.944613e-01  2.6770538909 8.198570e-01
#> 117  7.489737e-01  1.2101995539 6.279137e-01
#> 118  7.801579e-01  1.5342711106 7.327924e-01
#> 119  6.211732e-01  1.8951479348 6.706520e-01
#> 120  8.592488e-01  0.3521489127 4.224145e-01
#> 121  6.128865e-01  1.9004630480 6.644383e-01
#> 122  1.792594e-01  1.5601423632 2.055066e-01
#> 123  8.300952e-01  1.2814885481 7.067300e-01
#> 124  8.575007e-01  1.4454024037 7.709661e-01
#> 125  9.201929e-01  3.2454891768 9.762504e-01
#> 126  4.760523e-01  0.7410786490 2.980534e-01
#> 127  9.413570e-01  1.7846155186 9.014182e-01
#> 128  9.699794e-01 -0.4719617101 2.758620e-01
#> 129  4.954537e-01  1.3258306799 4.510648e-01
#> 130  7.457334e-01  1.4987028146 6.978192e-01
#> 131  9.520279e-01  3.5423257880 9.896762e-01
#> 132  5.559321e-01  1.0379819348 4.278591e-01
#> 133  5.950750e-01  1.1278204636 4.856024e-01
#> 134  1.289151e-01  0.6023703821 6.392901e-02
#> 135  7.591799e-01  2.1798051668 8.275324e-01
#> 136  1.244281e-01  3.1540919878 2.583352e-01
#> 137  7.634327e-01  0.8014663899 5.080628e-01
#> 138  5.973051e-01  1.5742755985 5.896023e-01
#> 139  5.143400e-01  3.3663086088 7.208401e-01
#> 140  9.546274e-01  1.3157026053 8.021783e-01
#> 141  5.557425e-02  2.6855122084 1.341851e-01
#> 142  2.393619e-01  2.3895035428 3.897848e-01
#> 143  9.591826e-02  0.6946040762 5.170571e-02
#> 144  6.429842e-01  3.2168880111 8.195544e-01
#> 145  2.644563e-01  2.7951740183 4.450442e-01
#> 146  4.527616e-01  1.5117974906 4.494838e-01
#> 147  3.687308e-02  1.0960065454 3.183024e-02
#> 148  9.861210e-01  1.6095815819 8.968233e-01
#> 149  1.983382e-01  2.8140634151 3.598789e-01
#> 150  1.008793e-01  1.4357507198 1.089706e-01
#> 151  6.525755e-01  0.1257946812 2.755233e-01
#> 152  9.851922e-01  1.8570952891 9.388480e-01
#> 153  7.504331e-01  2.7719040097 8.652658e-01
#> 154  3.527014e-01  0.8408820698 2.300812e-01
#> 155  1.368933e-01  1.7620844723 1.843059e-01
#> 156  2.822886e-01  0.7778066740 1.719734e-01
#> 157  3.172966e-01  2.1168062129 4.398823e-01
#> 158  5.344242e-01  1.8675003720 5.897326e-01
#> 159  1.662278e-01  1.9663152240 2.481576e-01
#> 160  6.158239e-02  1.3776735818 6.682494e-02
#> 161  6.707635e-01  1.2906365384 5.905997e-01
#> 162  8.113792e-01  2.8714454144 9.100896e-01
#> 163  2.898353e-01  2.1051380190 4.102381e-01
#> 164  3.753898e-01  1.8130647324 4.355575e-01
#> 165  5.357563e-01 -1.2131885324 7.086193e-02
#> 166  2.737683e-02  0.7243812968 1.621078e-02
#> 167  7.987022e-01  2.7629063179 8.957697e-01
#> 168  1.543033e-01  1.5931848566 1.835326e-01
#> 169  8.851849e-01  0.7916822161 5.781728e-01
#> 170  8.355895e-01  1.5606773431 7.809257e-01
#> 171  2.100034e-02  1.6244192541 3.354275e-02
#> 172  9.157392e-01  1.4985576049 8.253138e-01
#> 173  6.476719e-01  2.4966125758 7.720775e-01
#> 174  9.385019e-01  3.5208809382 9.851195e-01
#> 175  7.383789e-01  2.9880918278 8.718363e-01
#> 176  9.722982e-01  3.2461225340 9.936936e-01
#> 177  4.309075e-01  1.6701326725 4.561847e-01
#> 178  3.796383e-02  2.8443447140 1.019309e-01
#> 179  3.042357e-01  1.0189242448 2.272753e-01
#> 180  2.270825e-01  1.8607785949 3.026268e-01
#> 181  2.182019e-01  4.1854379065 4.001324e-01
#> 182  3.251669e-01  1.9871719901 4.241203e-01
#> 183  8.259297e-01  1.6946910740 8.021783e-01
#> 184  1.423081e-01  1.4157865393 1.495231e-01
#> 185  6.023509e-01  2.7712685019 7.605492e-01
#> 186  8.738622e-01  4.1061893618 9.638462e-01
#> 187  1.430335e-01  2.4121570368 2.620738e-01
#> 188  4.436275e-01  1.7387351219 4.817801e-01
#> 189  6.670416e-01  4.0737836460 8.450790e-01
#> 190  3.543891e-01  1.2211697766 3.085860e-01
#> 191  8.594267e-01  3.1315325133 9.471048e-01
#> 192  6.876754e-01  1.5786548719 6.669897e-01
#> 193  4.643223e-01  0.9782526300 3.407454e-01
#> 194  4.063278e-01  3.2183053787 6.178505e-01
#> 195  2.270154e-01  0.2002393251 8.222269e-02
#> 196  2.946458e-01  1.6917500616 3.407454e-01
#> 197  1.495401e-01  2.0155152433 2.333215e-01
#> 198  3.097020e-01  1.5576822813 3.321207e-01
#> 199  6.803580e-01  0.3619922671 3.421138e-01
#> 200  7.031468e-01  1.3585988438 6.327978e-01
#> 201  6.822448e-01  0.4429642555 3.632083e-01
#> 202  9.124372e-02  3.9231636530 2.058920e-01
#> 203  1.126059e-01  0.1431703716 3.461244e-02
#> 204  7.407141e-01 -0.1061184356 2.667083e-01
#> 205  2.229902e-02  2.6976485269 6.720195e-02
#> 206  1.250155e-02  2.9074444077 4.273847e-02
#> 207  5.047299e-01  1.8040118011 5.501136e-01
#> 208  5.882820e-01  1.7931795120 6.227059e-01
#> 209  9.893090e-01  2.7250431705 9.916378e-01
#> 210  6.099755e-01  3.3987189554 7.979290e-01
#> 211  8.694353e-01  0.4094448506 4.450442e-01
#> 212  6.739781e-01  3.3044970766 8.421324e-01
#> 213  6.889748e-01  2.1960117337 7.747031e-01
#> 214  1.706220e-01  1.6606565545 2.101689e-01
#> 215  3.232319e-01  3.2651441401 5.292331e-01
#> 216  1.285751e-01  2.9397736851 2.597234e-01
#> 217  7.575189e-01  3.2779524859 8.944332e-01
#> 218  2.101003e-01  1.7088398564 2.598706e-01
#> 219  5.207165e-01  2.7761724497 6.958176e-01
#> 220  9.643392e-01  2.2957256332 9.678226e-01
#> 221  8.305686e-02  1.4828004452 9.498601e-02
#> 222  9.982990e-01  3.7572330243 9.996873e-01
#> 223  5.284981e-01  2.1617268189 6.389823e-01
#> 224  7.331272e-01  1.9453156242 7.736872e-01
#> 225  2.474471e-01  2.5289716007 4.096209e-01
#> 226  7.136593e-02  2.3897345213 1.536838e-01
#> 227  7.405448e-01  1.2942285852 6.450657e-01
#> 228  1.083809e-01  1.9468215249 1.711097e-01
#> 229  8.436762e-01  4.6064444888 9.535960e-01
#> 230  7.924152e-01  1.9274068952 8.182259e-01
#> 231  3.242182e-01  1.7037281086 3.694345e-01
#> 232  3.865666e-03  2.7343303361 1.440759e-02
#> 233  5.218595e-01  2.4014807464 6.633327e-01
#> 234  5.683334e-01  1.4616989240 5.430058e-01
#> 235  9.523760e-01  0.9172771891 6.627006e-01
#> 236  9.217904e-01  2.8478014075 9.683784e-01
#> 237  5.749198e-01  2.1188450150 6.717260e-01
#> 238  2.354412e-01  2.4822472228 3.917162e-01
#> 239  2.727389e-01  1.7086751953 3.230364e-01
#> 240  9.957361e-01  0.3478897285 4.785432e-01
#> 241  4.793734e-01  2.0690945983 5.802623e-01
#> 242  3.010858e-01  4.3905767000 5.028744e-01
#> 243  8.231616e-01  0.5382283137 4.624218e-01
#> 244  3.795598e-01  1.0151937073 2.841520e-01
#> 245  2.448439e-01  0.6639462555 1.341851e-01
#> 246  4.548246e-02  1.6348683883 6.573881e-02
#> 247  5.858974e-01  3.3814542480 7.798592e-01
#> 248  7.982051e-01  1.8466827442 8.089525e-01
#> 249  8.680617e-01  1.7444283658 8.441104e-01
#> 250  3.075085e-01  0.7113728964 1.793228e-01
#> 251  8.916459e-01  2.0652664170 9.094672e-01
#> 252  6.838849e-01  3.0353264214 8.394244e-01
#> 253  9.444684e-01  4.2602157919 9.908094e-01
#> 254  8.043941e-01  3.3146962753 9.212372e-01
#> 255  4.867102e-01  1.1299766543 3.964614e-01
#> 256  2.517007e-01  1.4968699646 2.685303e-01
#> 257  1.625691e-02  2.6074555553 5.036790e-02
#> 258  5.668211e-01  1.9899585837 6.417729e-01
#> 259  7.078654e-01  2.2753302996 7.979432e-01
#> 260  6.706415e-01  0.6877012166 4.175170e-01
#> 261  3.415979e-01  1.5734701327 3.626804e-01
#> 262  6.971007e-01  1.0735957523 5.473222e-01
#> 263  7.761570e-01  1.0714420754 6.028496e-01
#> 264  3.912185e-01  1.2810993978 3.524985e-01
#> 265  8.550021e-02  1.5852094305 1.068702e-01
#> 266  7.871180e-01  1.9943321069 8.246090e-01
#> 267  6.728907e-01  2.6334489195 8.018031e-01
#> 268  2.343951e-01  1.4908192263 2.507019e-01
#> 269  7.406196e-01  1.1429913807 6.011616e-01
#> 270  3.473051e-01  3.6161675768 5.539314e-01
#> 271  7.956873e-01  2.9938664068 9.064611e-01
#> 272  6.933011e-01  2.6968458594 8.205080e-01
#> 273  3.942934e-01  3.6999706730 6.031334e-01
#> 274  8.069048e-03  1.0222580547 6.847055e-03
#> 275  8.760238e-01  4.0488175820 9.641219e-01
#> 276  2.583889e-01  3.2264493242 4.509847e-01
#> 277  2.207215e-02  2.3070230120 6.025545e-02
#> 278  4.586927e-01  2.6243329839 6.301565e-01
#> 279  1.880918e-01  2.0613414425 2.879009e-01
#> 280  3.576754e-01  1.8891742086 4.345969e-01
#> 281  6.905342e-01  0.4237664399 3.627880e-01
#> 282  6.836198e-01  2.7425898458 8.175429e-01
#> 283  1.854172e-01  4.1423233981 3.553560e-01
#> 284  4.831584e-01  4.0897729567 6.940311e-01
#> 285  5.615004e-01  2.1697943271 6.680227e-01
#> 286  3.167919e-01  1.8921222111 3.977568e-01
#> 287  5.040196e-01  2.1819944946 6.212644e-01
#> 288  3.445645e-01  3.1459281783 5.508222e-01
#> 289  6.645047e-01  3.4772988226 8.366821e-01
#> 290  3.148202e-01  2.4079441525 4.754666e-01
#> 291  6.964488e-01  3.1142787352 8.514706e-01
#> 292  7.066416e-01  1.9729241560 7.570091e-01
#> 293  8.071031e-01  2.4977222033 8.867136e-01
#> 294  1.537941e-01  3.1856400136 3.054501e-01
#> 295  7.533338e-02  5.6395736267 1.811692e-01
#> 296  8.930486e-01  1.9459974044 8.952574e-01
#> 297  4.439149e-01  1.3318526831 4.080219e-01
#> 298  3.395086e-01  2.4458079574 5.036970e-01
#> 299  9.596716e-01  1.5941747536 8.775138e-01
#> 300  7.597452e-01  2.6352831445 8.624117e-01
#> 301  3.714965e-01  2.3412483991 5.238143e-01
#> 302  2.949621e-01  3.3161671630 4.963795e-01
#> 303  4.868530e-02  1.0402235163 3.834729e-02
#> 304  7.012511e-01  0.7944247886 4.653937e-01
#> 305  9.809799e-02  3.5675730582 2.169610e-01
#> 306  1.304798e-01  2.2252857998 2.303415e-01
#> 307  9.338788e-01  1.0775893426 7.085034e-01
#> 308  5.705641e-01  0.9262275896 4.083669e-01
#> 309  3.055763e-01  1.4476417144 3.094193e-01
#> 310  7.466903e-01  2.5904614011 8.511448e-01
#> 311  2.966647e-01  1.4727245893 3.058615e-01
#> 312  9.210760e-01  3.3418461638 9.776313e-01
#> 313  6.497303e-01  2.2438446285 7.500446e-01
#> 314  5.119645e-01  2.1958807894 6.299147e-01
#> 315  9.713442e-01  1.9844802714 9.472545e-01
#> 316  2.849969e-01  1.7024226718 3.343214e-01
#> 317  6.284037e-01  1.8323208529 6.646661e-01
#> 318  9.036830e-01  3.1564785799 9.681147e-01
#> 319  1.956171e-01  0.6612359908 1.045524e-01
#> 320  6.210853e-01  3.0867687753 7.980738e-01
#> 321  1.909067e-01  1.6493158033 2.303415e-01
#> 322  1.343826e-01  2.7347232446 2.624896e-01
#> 323  4.152425e-01  1.9415855162 4.977452e-01
#> 324  6.151315e-02  0.6541870957 3.231991e-02
#> 325  6.297850e-01  2.3469052693 7.452147e-01
#> 326  6.482925e-01  1.3615953530 5.902292e-01
#> 327  7.237884e-01  3.1243923545 8.689541e-01
#> 328  8.646252e-01  1.1722669692 6.960529e-01
#> 329  3.875681e-01  0.2122198625 1.606558e-01
#> 330  4.969917e-01  1.1459899974 4.085017e-01
#> 331  7.435915e-01  1.4279772776 6.806431e-01
#> 332  1.166288e-01  1.1740693213 1.003555e-01
#> 333  7.132828e-01  1.7624159060 7.234933e-01
#> 334  1.724307e-01  1.4046735039 1.774702e-01
#> 335  7.381673e-01  1.5892578052 7.102501e-01
#> 336  4.637109e-01  2.3279914384 6.056619e-01
#> 337  3.438500e-01  0.8363533883 2.223400e-01
#> 338  9.964904e-01  2.7601776650 9.941593e-01
#> 339  7.245966e-01  1.9974441639 7.752538e-01
#> 340  5.963231e-01  1.9617722291 6.621307e-01
#> 341  4.595493e-01 -0.0362374200 1.633517e-01
#> 342  2.875746e-01  1.6987709206 3.343214e-01
#> 343  8.055190e-01  1.4443538956 7.319593e-01
#> 344  7.721993e-01  2.8472954157 8.843497e-01
#> 345  2.351947e-02  3.3908205110 7.265709e-02
#> 346  1.588794e-01  3.2312462152 3.131945e-01
#> 347  3.596568e-01  0.8866625378 2.430337e-01
#> 348  8.483071e-01  1.2039461073 6.951326e-01
#> 349  4.218111e-01  1.9104801229 4.968913e-01
#> 350  5.909654e-02  0.9403431121 4.185200e-02
#> 351  1.405136e-01  0.3956878060 5.661121e-02
#> 352  4.982356e-01  2.7913506660 6.784095e-01
#> 353  7.039731e-01  2.0681565281 7.699726e-01
#> 354  8.471168e-01  2.6143959997 9.189425e-01
#> 355  1.145905e-01  0.7969322472 6.890046e-02
#> 356  5.510188e-01  1.6595451646 5.639215e-01
#> 357  2.405645e-01  0.8287513656 1.512006e-01
#> 358  8.763148e-01  1.1705852324 7.033831e-01
#> 359  5.499575e-02  2.2292120418 1.202942e-01
#> 360  8.451903e-01  1.1850070817 6.876476e-01
#> 361  9.532893e-03  1.0065544854 7.924027e-03
#> 362  1.888455e-01  0.6938315410 1.037042e-01
#> 363  5.250743e-01  0.5657782285 2.971172e-01
#> 364  6.672110e-01  1.1371520668 5.438824e-01
#> 365  8.655463e-01  3.7037992038 9.556708e-01
#> 366  5.403934e-01  1.3443674035 4.947183e-01
#> 367  4.975560e-01  0.8868313744 3.440898e-01
#> 368  5.700676e-01  0.5944945536 3.319878e-01
#> 369  5.669544e-01  1.8493563132 6.146810e-01
#> 370  1.727907e-01  1.6059930876 2.049583e-01
#> 371  6.974816e-01  2.2520693197 7.881779e-01
#> 372  7.810783e-01  1.7172935623 7.704941e-01
#> 373  4.104619e-01  2.8676676125 6.050895e-01
#> 374  9.451162e-01  2.7200911213 9.748995e-01
#> 375  2.429430e-01  3.0560696014 4.281087e-01
#> 376  9.933704e-01  2.2435020604 9.778136e-01
#> 377  8.974721e-01  3.1143626621 9.645299e-01
#> 378  8.840196e-01  1.9234472863 8.856030e-01
#> 379  8.698012e-01  2.9329250540 9.458213e-01
#> 380  7.780743e-02  1.8420182613 1.213392e-01
#> 381  4.457100e-01  1.3184904852 4.068410e-01
#> 382  2.663828e-01  0.7798989086 1.618425e-01
#> 383  3.558994e-01  1.2910870084 3.242816e-01
#> 384  8.694620e-01  1.2513204022 7.255585e-01
#> 385  2.481620e-01  2.5760775261 4.132263e-01
#> 386  9.549264e-01  1.9479005361 9.338389e-01
#> 387  3.322443e-02  1.3696628264 3.809402e-02
#> 388  7.302103e-01  1.1016639345 5.800679e-01
#> 389  5.678586e-02  3.5126858755 1.419017e-01
#> 390  4.172680e-01  1.7632507072 4.629320e-01
#> 391  1.855016e-01  0.7511965784 1.071442e-01
#> 392  5.381342e-01  1.5699906636 5.362085e-01
#> 393  2.749786e-01  2.0932994365 3.928991e-01
#> 394  7.591442e-01  2.8330410887 8.746480e-01
#> 395  9.122835e-01  1.9150675219 9.031568e-01
#> 396  3.553235e-01  2.1118530390 4.761762e-01
#> 397  1.111795e-01  0.9605640572 7.760426e-02
#> 398  9.640989e-01  2.7964228135 9.845375e-01
#> 399  4.745297e-01  2.0999033762 5.828443e-01
#> 400  3.869163e-01  2.7369597532 5.727024e-01
#> 401  2.826251e-01  3.5468813344 4.801921e-01
#> 402  5.800571e-02  2.1789209719 1.214351e-01
#> 403  5.465105e-01  1.7174534084 5.716431e-01
#> 404  6.958949e-01  1.2327012214 5.944425e-01
#> 405  6.772475e-01  1.4235957598 6.271999e-01
#> 406  7.071716e-01  1.0851441600 5.582917e-01
#> 407  7.138943e-01  2.3699109613 8.116056e-01
#> 408  7.674764e-01  0.5323156367 4.319272e-01
#> 409  1.493530e-01  0.2546380216 5.271734e-02
#> 410  4.854660e-01  1.3326181961 4.441609e-01
#> 411  6.978921e-01  3.0842790065 8.511604e-01
#> 412  5.140552e-01  2.1228316414 6.199674e-01
#> 413  2.606855e-01  1.5057506052 2.778679e-01
#> 414  4.400488e-01  2.6695881839 6.174082e-01
#> 415  6.113929e-01  1.6485211467 6.153819e-01
#> 416  6.005425e-01  1.8850195991 6.508010e-01
#> 417  3.087948e-01  2.0729869418 4.239260e-01
#> 418  8.016869e-01  3.0887746126 9.147368e-01
#> 419  1.527189e-01  3.2925687385 3.051291e-01
#> 420  8.742853e-02  3.2825112941 1.974884e-01
#> 421  1.512673e-01  2.9790561183 2.958629e-01
#> 422  4.774740e-01  2.3294697834 6.178505e-01
#> 423  9.481202e-01  3.8796357177 9.902677e-01
#> 424  7.849793e-02  4.0428990311 1.844373e-01
#> 425  5.688656e-01  3.3285763726 7.668781e-01
#> 426  1.068865e-01  1.7803313563 1.511107e-01
#> 427  1.015718e-01  0.9599525684 7.101338e-02
#> 428  4.356449e-01  2.1929497827 5.628283e-01
#> 429  5.214077e-01  1.4447637481 4.979260e-01
#> 430  4.957884e-01  2.2749908899 6.266623e-01
#> 431  4.202368e-02  1.4494865949 5.072309e-02
#> 432  6.163968e-01  2.9212598931 7.842093e-01
#> 433  1.255723e-01  4.1894559924 2.656721e-01
#> 434  9.800568e-01  2.9639947901 9.927955e-01
#> 435  5.531914e-01  2.7418184763 7.198369e-01
#> 436  8.428922e-01  2.0373565650 8.725583e-01
#> 437  3.723884e-01  4.1808336862 5.826423e-01
#> 438  9.794846e-01  1.9204147965 9.435797e-01
#> 439  5.172046e-01  3.3762950288 7.241774e-01
#> 440  5.180466e-01  3.5753166768 7.228862e-01
#> 441  6.644099e-01  2.1603769784 7.513852e-01
#> 442  7.629316e-02 -1.2532200729 6.677049e-03
#> 443  9.854317e-01  1.6700695127 9.094672e-01
#> 444  3.937619e-01  2.4570898257 5.571685e-01
#> 445  8.374449e-01  0.6958962426 5.193666e-01
#> 446  2.629311e-03  0.7088265612 1.556672e-03
#> 447  1.719038e-01  2.9063797317 3.248591e-01
#> 448  6.714912e-01 -0.7959614952 1.429025e-01
#> 449  8.128091e-01  2.2335605713 8.725577e-01
#> 450  1.914358e-02  1.7309640614 3.437019e-02
#> 451  3.362020e-01  1.3414549450 3.170703e-01
#> 452  5.455606e-01  2.0633457931 6.369742e-01
#> 453  4.515237e-01  2.0544768391 5.522113e-01
#> 454  1.198005e-01  2.2470093234 2.177592e-01
#> 455  1.459758e-01  2.1240355479 2.410585e-01
#> 456  9.550775e-01  1.4647433004 8.438228e-01
#> 457  6.104933e-01  2.2584825914 7.202304e-01
#> 458  3.591549e-02  3.3877088680 1.004220e-01
#> 459  3.152042e-01  2.6671704463 4.954123e-01
#> 460  5.921163e-01  3.4970494521 7.850930e-01
#> 461  6.505220e-01  1.7251195966 6.633327e-01
#> 462  3.035948e-02  2.5830758434 8.459589e-02
#> 463  2.128574e-01  2.5033585263 3.649914e-01
#> 464  5.515106e-01  1.2567523180 4.834571e-01
#> 465  9.961028e-01  1.1831224145 7.850940e-01
#> 466  7.799680e-01  3.8702836811 9.118378e-01
#> 467  4.802465e-01  1.1727469560 4.017699e-01
#> 468  5.299927e-01  2.9507126936 7.194273e-01
#> 469  1.388162e-01  1.7338276489 1.835758e-01
#> 470  2.786176e-01  0.9009178183 1.875886e-01
#> 471  4.160780e-01  0.4657824569 2.115666e-01
#> 472  1.054738e-01  0.7936901404 6.328720e-02
#> 473  9.126824e-01  0.0499747271 3.603433e-01
#> 474  6.592931e-01  1.1159599704 5.318289e-01
#> 475  1.766974e-01  2.9734059852 3.343214e-01
#> 476  1.872997e-01  1.4190286842 1.941942e-01
#> 477  7.155708e-01  3.7367673815 8.709257e-01
#> 478  8.153733e-01  1.8273246818 8.186820e-01
#> 479  2.324955e-01  1.0620074683 1.797495e-01
#> 480  9.777340e-01  1.7154063402 9.122846e-01
#> 481  7.208681e-01  1.4109818983 6.590208e-01
#> 482  2.514584e-01  1.5560685740 2.770429e-01
#> 483  6.048627e-01  2.0599965735 6.874572e-01
#> 484  7.172595e-01  2.0822329489 7.829576e-01
#> 485  1.874547e-02  2.7583975237 5.858118e-02
#> 486  1.442382e-02  2.5396629909 4.483460e-02
#> 487  8.676035e-01  2.7766476465 9.380929e-01
#> 488  2.966393e-01  2.1321716647 4.219827e-01
#> 489  4.850298e-02  1.1931347002 4.456326e-02
#> 490  6.067825e-01  2.4493500858 7.360539e-01
#> 491  2.754606e-01  2.4126414568 4.328794e-01
#> 492  2.233281e-02  1.5963859509 3.435804e-02
#> 493  3.758236e-01  1.6119117225 3.990130e-01
#> 494  9.115320e-01  3.0951877478 9.703905e-01
#> 495  1.388114e-04  3.3404800431 6.728610e-04
#> 496  2.674690e-01  2.1144055467 3.886110e-01
#> 497  7.584121e-01  1.6077353797 7.307451e-01
#> 498  2.683396e-01  3.6523578432 4.622231e-01
#> 499  7.281003e-01  0.7563023912 4.718368e-01
#> 500  3.825189e-01  1.0880741292 3.021343e-01
#> 501  9.383824e-01  2.8500434719 9.757035e-01
#> 502  7.665668e-01  1.0746870049 5.974307e-01
#> 503  2.367132e-01  2.8935812144 4.143631e-01
#> 504  9.909899e-01  1.0589902622 7.384499e-01
#> 505  3.213922e-01  2.5389520941 4.932083e-01
#> 506  1.109433e-01  1.8180256019 1.601240e-01
#> 507  1.698421e-01  2.8917675950 3.216069e-01
#> 508  8.028882e-01  3.3292082052 9.206129e-01
#> 509  2.462832e-01  1.8965338748 3.292469e-01
#> 510  2.651838e-01  2.6150646107 4.366879e-01
#> 511  1.145509e-02  0.2002276047 3.710430e-03
#> 512  3.493234e-01  1.7372948584 3.977568e-01
#> 513  3.334243e-01  0.7898581231 2.086796e-01
#> 514  9.621238e-01  2.2044772526 9.612723e-01
#> 515  6.864063e-01  1.9860058955 7.424838e-01
#> 516  8.169294e-01  1.7647991602 8.084686e-01
#> 517  6.727532e-01  1.8116813458 6.998125e-01
#> 518  7.083162e-01  2.9512830688 8.503835e-01
#> 519  7.143608e-01  1.8459852140 7.402290e-01
#> 520  2.340065e-01  3.8542445048 4.187631e-01
#> 521  4.609232e-01  0.0958326456 1.814539e-01
#> 522  7.713063e-01  2.3592997019 8.526909e-01
#> 523  3.762378e-01  4.1145349462 5.853256e-01
#> 524  8.352239e-01  0.8642510132 5.732376e-01
#> 525  9.619313e-01  1.2037440142 7.706735e-01
#> 526  9.208109e-02  1.6024305498 1.159827e-01
#> 527  8.853216e-01  2.0917240415 9.074218e-01
#> 528  2.379152e-01  1.7613059259 2.978556e-01
#> 529  4.956185e-01  1.5380376363 4.923015e-01
#> 530  8.860946e-01  3.9263406073 9.674604e-01
#> 531  2.331372e-01  2.1220548148 3.522088e-01
#> 532  2.423115e-01  3.0920505765 4.283558e-01
#> 533  9.368722e-01 -0.9722574754 1.824808e-01
#> 534  6.514320e-01  3.1284890510 8.218966e-01
#> 535  1.005842e-01  3.3120001290 2.204129e-01
#> 536  4.415418e-01  1.5173920269 4.403542e-01
#> 537  7.616148e-01  1.7751410033 7.663398e-01
#> 538  1.999348e-01  3.6677653109 3.726989e-01
#> 539  5.470258e-01  2.0412185323 6.348120e-01
#> 540  7.588264e-01  3.0381748456 8.867665e-01
#> 541  6.756415e-01  2.5876429333 7.993362e-01
#> 542  7.224881e-01  1.8417004229 7.461350e-01
#> 543  6.076148e-01  1.7079145851 6.232557e-01
#> 544  9.851543e-01  0.5801010367 5.558037e-01
#> 545  1.873534e-01 -0.1383180252 4.792714e-02
#> 546  9.475116e-01  1.9774998951 9.330907e-01
#> 547  4.837424e-01  2.2697709536 6.161866e-01
#> 548  5.910424e-01  1.4970306010 5.694740e-01
#> 549  2.768069e-02  2.6308073904 7.844256e-02
#> 550  6.950776e-01  2.4745652084 8.051261e-01
#> 551  6.192166e-01  1.6593409384 6.241412e-01
#> 552  8.220767e-01  2.0496015595 8.585840e-01
#> 553  2.639331e-01  3.2952631909 4.583368e-01
#> 554  6.928469e-01  2.3146242050 7.910152e-01
#> 555  1.211822e-01  2.8015725037 2.444144e-01
#> 556  4.571703e-01  2.4860588962 6.167515e-01
#> 557  1.971584e-02  3.7255610567 6.521338e-02
#> 558  4.166508e-01  2.1024328608 5.302031e-01
#> 559  6.161525e-01  1.0101629251 4.671251e-01
#> 560  6.094305e-01  1.5395587910 5.934263e-01
#> 561  2.242273e-01  2.2376614920 3.559988e-01
#> 562  9.820023e-01  1.7306027358 9.174077e-01
#> 563  4.831537e-01  1.8304459303 5.359153e-01
#> 564  5.568800e-01  2.6648689733 7.150591e-01
#> 565  5.440315e-01  1.2244490848 4.690452e-01
#> 566  2.727987e-01  0.0807388690 9.274184e-02
#> 567  8.045138e-01  4.0193325396 9.286704e-01
#> 568  8.729585e-01  2.4352105149 9.254359e-01
#> 569  5.314604e-01  3.0501688322 7.266909e-01
#> 570  3.678890e-01  1.6878851593 4.056305e-01
#> 571  3.201286e-01  2.0936176173 4.390961e-01
#> 572  3.957420e-01 -0.1531877506 1.234526e-01
#> 573  4.204145e-01  2.3579930710 5.707437e-01
#> 574  6.400700e-01  2.4678648113 7.633083e-01
#> 575  3.962039e-01  1.0933111651 3.139323e-01
#> 576  3.237555e-01  1.4706500845 3.294637e-01
#> 577  5.648719e-01  3.3435767169 7.633083e-01
#> 578  4.288359e-02  2.4694340566 1.074346e-01
#> 579  4.972138e-02  1.7468949122 7.787171e-02
#> 580  2.440510e-01  2.3691037153 3.931536e-01
#> 581  1.686609e-01  0.6532928095 8.859711e-02
#> 582  8.668351e-01  3.1719354256 9.514664e-01
#> 583  1.130506e-01  0.0912636551 3.313505e-02
#> 584  9.336878e-02  0.9956091894 6.837383e-02
#> 585  6.253397e-01  2.6766875137 7.694006e-01
#> 586  3.795785e-01  3.1523217442 5.885205e-01
#> 587  8.848097e-01  0.2672400824 4.083669e-01
#> 588  6.390898e-01  2.6013088566 7.735516e-01
#> 589  7.067418e-01  2.3416503141 8.035169e-01
#> 590  4.466330e-01  1.9647189909 5.309700e-01
#> 591  7.692967e-01  1.3738349802 6.876476e-01
#> 592  8.927374e-01  1.1440287903 7.064422e-01
#> 593  1.633642e-01  2.1517778420 2.683189e-01
#> 594  2.997411e-01  3.2063726938 5.013502e-01
#> 595  3.448665e-02  0.5114221168 1.585850e-02
#> 596  4.423219e-01  0.9496258769 3.168548e-01
#> 597  4.144083e-01  3.6378741169 6.244796e-01
#> 598  6.627592e-01  0.7926658188 4.390961e-01
#> 599  3.656217e-01 -0.6261550846 7.761956e-02
#> 600  4.454120e-01  2.0174632662 5.404424e-01
#> 601  7.330532e-01  2.3441940274 8.238337e-01
#> 602  1.329875e-01  2.0127198373 2.110197e-01
#> 603  5.972858e-01  1.1265498668 4.856024e-01
#> 604  5.876867e-01  2.3428002843 7.113394e-01
#> 605  8.912890e-01  1.8226122457 8.740389e-01
#> 606  2.556496e-01  2.9214332546 4.392503e-01
#> 607  1.344903e-01  2.3009444022 2.429248e-01
#> 608  8.232354e-01  2.6933867527 9.074148e-01
#> 609  4.531494e-02  2.3254719063 1.074434e-01
#> 610  8.245445e-01  2.4080510227 8.934673e-01
#> 611  8.694376e-01  2.7598422559 9.386221e-01
#> 612  7.394184e-01 -0.2871535205 2.380828e-01
#> 613  7.000833e-01  2.5178382616 8.127521e-01
#> 614  1.618868e-01  0.6527637417 8.505501e-02
#> 615  7.456429e-03  2.3631598589 2.351740e-02
#> 616  6.717948e-01  3.3147525647 8.410914e-01
#> 617  7.652441e-01  1.5516940891 7.254048e-01
#> 618  7.307824e-02  1.1918355317 6.528353e-02
#> 619  8.041280e-01  1.9137315010 8.247883e-01
#> 620  8.046730e-01  3.5854242725 9.236063e-01
#> 621  7.983289e-01  2.1010574482 8.474723e-01
#> 622  7.394749e-02  2.1487622117 1.437187e-01
#> 623  7.431603e-02  1.4535653319 8.459615e-02
#> 624  7.780165e-02  1.4723244127 8.905728e-02
#> 625  4.904456e-01  1.8601284405 5.488982e-01
#> 626  2.710096e-01  0.4105885856 1.218415e-01
#> 627  4.749123e-01  3.2341041657 6.844544e-01
#> 628  8.053182e-01  1.6645451517 7.794168e-01
#> 629  7.491304e-01 -0.0010025068 2.892640e-01
#> 630  1.729946e-01  1.9825415973 2.587598e-01
#> 631  2.194910e-01  1.7590331042 2.771837e-01
#> 632  6.091976e-01  0.2080106011 2.721972e-01
#> 633  4.646601e-01  4.0496915112 6.749874e-01
#> 634  9.842412e-01  0.8827823885 6.693713e-01
#> 635  1.157503e-01  0.6464504552 5.986374e-02
#> 636  4.818481e-01  2.4513023110 6.348120e-01
#> 637  4.740333e-01  3.0332274249 6.752996e-01
#> 638  6.417776e-01  1.8041143049 6.706520e-01
#> 639  3.301050e-01  2.2273103868 4.697775e-01
#> 640  5.760131e-01  0.8978002500 4.050772e-01
#> 641  1.498921e-02  2.9552773685 4.946310e-02
#> 642  7.334914e-01  2.3128304459 8.216189e-01
#> 643  4.758252e-01  2.1010057132 5.828443e-01
#> 644  5.098718e-01  2.7481154143 6.846222e-01
#> 645  9.709613e-01  2.9989608948 9.905385e-01
#> 646  1.110960e-01  1.2674846910 1.034463e-01
#> 647  3.965534e-01  2.4808952401 5.610756e-01
#> 648  6.425753e-02  1.0105496917 4.794573e-02
#> 649  7.462026e-01  4.2295590483 8.989906e-01
#> 650  7.985315e-01  2.4567365996 8.784787e-01
#> 651  9.514219e-01  1.9641845564 9.337642e-01
#> 652  4.102285e-01  1.5095572936 4.119346e-01
#> 653  6.729025e-02  1.7794333888 1.029061e-01
#> 654  1.527411e-01  0.8987906392 1.012257e-01
#> 655  7.993896e-01  2.0634704714 8.443451e-01
#> 656  3.284520e-03  2.5835259331 1.163482e-02
#> 657  9.980725e-01  1.4866411538 8.762616e-01
#> 658  6.102858e-01  1.1874478781 5.139433e-01
#> 659  2.780457e-01  0.3706800945 1.214351e-01
#> 660  4.809142e-01  2.5689057065 6.442335e-01
#> 661  7.406623e-01  2.3337833067 8.285217e-01
#> 662  3.289022e-01  1.7886774406 3.892600e-01
#> 663  3.990384e-01  1.4489020696 3.910686e-01
#> 664  3.317575e-01  2.2583611289 4.758878e-01
#> 665  7.647238e-02  0.6247895536 3.833833e-02
#> 666  7.470964e-01  0.5272458509 4.200187e-01
#> 667  1.806355e-01  0.5547903272 8.697118e-02
#> 668  4.913545e-01  1.6387115754 5.064323e-01
#> 669  9.431744e-01  2.7907099647 9.759991e-01
#> 670  2.854220e-02  2.7146578463 8.138019e-02
#> 671  2.469834e-01  1.4348464827 2.542294e-01
#> 672  2.373295e-01  3.4180143034 4.241570e-01
#> 673  5.979378e-01  0.8542432190 4.096209e-01
#> 674  1.452191e-01  1.5071821770 1.630647e-01
#> 675  5.666668e-01  1.2669477263 4.989157e-01
#> 676  1.517499e-01  2.1592320804 2.534866e-01
#> 677  2.913407e-01  0.2488070408 1.165266e-01
#> 678  4.634902e-01  3.1848308671 6.725061e-01
#> 679  8.329596e-01  3.2070316010 9.349287e-01
#> 680  3.178331e-01  2.9776493265 5.154048e-01
#> 681  2.811006e-01  1.9180082560 3.682990e-01
#> 682  2.305379e-01  3.1562634226 4.140857e-01
#> 683  8.284912e-01  2.4867963368 9.004642e-01
#> 684  8.862214e-01  2.9588486628 9.550324e-01
#> 685  2.865366e-01  2.1777923712 4.187631e-01
#> 686  6.681973e-01  2.2922508810 7.693512e-01
#> 687  5.117087e-01 -0.1133406847 1.764932e-01
#> 688  3.373601e-01  1.4619520892 3.404403e-01
#> 689  1.196956e-01  3.0140255848 2.477548e-01
#> 690  2.979700e-01  2.1012696415 4.185663e-01
#> 691  3.520748e-01  0.7812926285 2.194538e-01
#> 692  9.398599e-01  1.0416232072 7.004209e-01
#> 693  4.916069e-02  1.4442025154 5.821833e-02
#> 694  4.497070e-01  4.1218759116 6.617904e-01
#> 695  6.446916e-01  1.8204100124 6.764565e-01
#> 696  8.846267e-01  1.3552645918 7.663414e-01
#> 697  1.459356e-02 -0.0925837718 3.554173e-03
#> 698  5.616997e-01  0.0981291623 2.284602e-01
#> 699  5.124343e-01  3.2222502763 7.189697e-01
#> 700  7.607403e-01  1.1487795586 6.174082e-01
#> 701  4.792134e-01  3.6212028830 6.877782e-01
#> 702  4.865848e-02  1.6708971980 7.117988e-02
#> 703  9.282883e-01 -0.3264095274 2.899025e-01
#> 704  9.888162e-01  4.1929979995 9.994376e-01
#> 705  2.612435e-01  0.9175200236 1.780646e-01
#> 706  1.789063e-01  1.4936390326 1.954992e-01
#> 707  1.277197e-01  2.0959189568 2.132756e-01
#> 708  6.730482e-01  1.8798347421 7.127782e-01
#> 709  1.735376e-01  0.4813323703 7.718656e-02
#> 710  7.946567e-02  0.4894149372 3.472201e-02
#> 711  1.167960e-01  3.3956049282 2.480123e-01
#> 712  1.947153e-01  1.2915780559 1.832117e-01
#> 713  8.121943e-01  2.8279383531 9.078403e-01
#> 714  2.208956e-01  3.7077558372 4.012327e-01
#> 715  7.430533e-01  1.2208334431 6.258315e-01
#> 716  1.584570e-02  1.2931009313 1.820440e-02
#> 717  7.536784e-01  0.0070974895 2.933494e-01
#> 718  9.693886e-02  3.8998765329 2.161093e-01
#> 719  8.958124e-01  1.2437930641 7.402290e-01
#> 720  2.731275e-01  1.6220442203 3.090478e-01
#> 721  6.246003e-01  0.6360451985 3.750679e-01
#> 722  4.360326e-01  2.7419581593 6.190956e-01
#> 723  8.123596e-02  3.6109759960 1.869272e-01
#> 724  9.375200e-01  2.2273874469 9.505860e-01
#> 725  3.292856e-01  1.5994843261 3.557264e-01
#> 726  9.436685e-01  0.3304196004 4.515113e-01
#> 727  1.288633e-01  3.4907010973 2.670142e-01
#> 728  3.877093e-01  2.6914874332 5.695598e-01
#> 729  6.159712e-01  1.9590225233 6.784095e-01
#> 730  7.227534e-01  3.2043448527 8.718363e-01
#> 731  6.252461e-01  3.2985149636 8.089525e-01
#> 732  3.491219e-01  1.5377829792 3.632083e-01
#> 733  2.880503e-01  0.7742262522 1.759841e-01
#> 734  3.252036e-01  2.9632667541 5.226802e-01
#> 735  6.713850e-01  2.6932112280 8.042870e-01
#> 736  6.517636e-01  1.4986068341 6.214995e-01
#> 737  3.549218e-01  5.1539714170 5.629713e-01
#> 738  8.425594e-01 -0.5491068950 2.289728e-01
#> 739  2.321452e-01  1.9918619152 3.307853e-01
#> 740  6.202157e-01  3.1387806410 8.007944e-01
#> 741  2.475834e-02  3.4823464679 7.504265e-02
#> 742  1.817548e-01  2.9758450090 3.418396e-01
#> 743  1.995708e-01  2.1483502933 3.146308e-01
#> 744  4.896938e-01  2.7889087573 6.710259e-01
#> 745  3.335127e-01  2.5575812197 5.067657e-01
#> 746  1.783691e-01  1.9726056070 2.639796e-01
#> 747  3.012926e-01  1.1229250412 2.454727e-01
#> 748  4.169199e-01  3.2162434707 6.283032e-01
#> 749  7.158861e-02  1.6487501877 9.616280e-02
#> 750  7.647062e-02  1.7056068826 1.072085e-01
#> 751  1.457547e-01  2.2531378095 2.546988e-01
#> 752  3.977456e-01  2.0114979858 4.958801e-01
#> 753  2.111244e-01  0.0242160378 6.445610e-02
#> 754  5.045881e-01  1.5736732761 5.068832e-01
#> 755  1.967836e-01  2.6123025601 3.490997e-01
#> 756  4.185052e-02  3.2308141088 1.116782e-01
#> 757  4.324386e-02  0.7291921920 2.522273e-02
#> 758  3.144283e-01  1.3494443365 2.996255e-01
#> 759  4.138578e-01 -0.4431662372 1.068549e-01
#> 760  5.066978e-01  2.9965485945 7.017045e-01
#> 761  9.909991e-01  2.0051135284 9.591417e-01
#> 762  5.354703e-01  2.7910247638 7.094045e-01
#> 763  2.001098e-01  1.4368084632 2.098301e-01
#> 764  9.011084e-01  2.2138262027 9.288306e-01
#> 765  8.604969e-01  2.9770826641 9.425729e-01
#> 766  9.049853e-02  1.7658388974 1.294829e-01
#> 767  5.207870e-01  2.8486605540 7.020397e-01
#> 768  1.997609e-01  2.6539708906 3.553560e-01
#> 769  8.882278e-01  0.4094299737 4.528585e-01
#> 770  2.659221e-01  2.3094231329 4.129789e-01
#> 771  7.340998e-01 -0.4859821899 2.086796e-01
#> 772  9.595972e-02  1.7215608927 1.322108e-01
#> 773  3.529659e-01  1.4475662407 3.516703e-01
#> 774  1.565336e-01  2.8760420728 3.008451e-01
#> 775  9.499889e-01  2.2934836944 9.609157e-01
#> 776  3.266409e-01  1.4027779531 3.205396e-01
#> 777  2.769704e-01  1.8427963967 3.513333e-01
#> 778  8.891917e-01  2.1841850603 9.191830e-01
#> 779  6.992952e-01  0.9869679857 5.223311e-01
#> 780  2.611889e-01  1.3201565953 2.480123e-01
#> 781  4.473468e-01  0.7573063855 2.806310e-01
#> 782  2.505728e-01  0.4649812635 1.165876e-01
#> 783  3.995214e-01  1.4754599869 3.964366e-01
#> 784  6.954917e-01  1.9814726145 7.491508e-01
#> 785  3.727268e-01  0.4318528288 1.820067e-01
#> 786  1.817917e-01  2.4678516742 3.211581e-01
#> 787  6.905392e-01  1.3321711360 6.170736e-01
#> 788  9.111510e-01  2.3110823596 9.412779e-01
#> 789  4.992032e-01  2.1425510042 6.101245e-01
#> 790  4.303470e-01  1.6259652793 4.494838e-01
#> 791  9.306824e-01  0.0550736240 3.681037e-01
#> 792  1.668845e-01  0.4023186859 6.929448e-02
#> 793  8.661977e-01 -0.5406578610 2.369347e-01
#> 794  4.103994e-01  3.3620472495 6.236930e-01
#> 795  8.251745e-01  1.6393339966 7.904588e-01
#> 796  3.032957e-01  3.9363973109 5.029581e-01
#> 797  9.912827e-01  0.5441162025 5.452534e-01
#> 798  2.205786e-01  3.4819057083 4.018342e-01
#> 799  9.428549e-03  3.0761196360 3.469167e-02
#> 800  2.423542e-01  1.2425115986 2.181103e-01
#> 801  2.770771e-01  2.7140855444 4.553290e-01
#> 802  6.783776e-02  2.5813846292 1.534195e-01
#> 803  3.195992e-01  1.8532760976 3.925636e-01
#> 804  9.905359e-01  3.5069817775 9.984013e-01
#> 805  5.487539e-01  1.7204673568 5.716431e-01
#> 806  8.587638e-01  4.0277387333 9.558466e-01
#> 807  6.701214e-01  0.8042598042 4.476859e-01
#> 808  3.189302e-01  3.3123178917 5.238889e-01
#> 809  4.668213e-01  1.4759924872 4.556041e-01
#> 810  8.423403e-02  2.3542495091 1.720650e-01
#> 811  7.237897e-01  1.9283255123 7.631355e-01
#> 812  4.673401e-01  1.8668556937 5.292331e-01
#> 813  5.039670e-01  1.9119226156 5.707755e-01
#> 814  1.533720e-02  2.9177889313 5.024048e-02
#> 815  8.139313e-01  2.0314392644 8.511003e-01
#> 816  4.774475e-02  3.3589305821 1.233874e-01
#> 817  4.255704e-01  2.1134948451 5.405340e-01
#> 818  8.739980e-02  2.1743065463 1.654236e-01
#> 819  9.617865e-02  1.9465195953 1.554423e-01
#> 820  6.233490e-01  1.5752419660 6.119964e-01
#> 821  8.618219e-01  2.2079115521 9.038550e-01
#> 822  3.364061e-01  2.9929229178 5.363745e-01
#> 823  7.688904e-01  2.8138578885 8.798299e-01
#> 824  9.354425e-01  2.9960055838 9.779950e-01
#> 825  8.542787e-01  3.7327442709 9.506591e-01
#> 826  8.679563e-01  2.3570420344 9.184982e-01
#> 827  2.042275e-01  2.1557263346 3.216069e-01
#> 828  1.879898e-02  3.5527886563 6.256742e-02
#> 829  1.579484e-01  1.9359303822 2.334431e-01
#> 830  9.864673e-01  0.9917812418 7.110548e-01
#> 831  5.862217e-01  1.1071044763 4.710785e-01
#> 832  7.184290e-02  1.3454853788 7.370566e-02
#> 833  3.118058e-01  0.5662171715 1.631129e-01
#> 834  5.729470e-01  3.4181843532 7.698150e-01
#> 835  8.372434e-01  1.4061143347 7.461197e-01
#> 836  2.438321e-01  3.1189717980 4.307293e-01
#> 837  2.533063e-02  4.3840815633 8.053519e-02
#> 838  7.624500e-01  1.5967135058 7.318191e-01
#> 839  2.971769e-01  2.3701085584 4.528585e-01
#> 840  3.253406e-01  1.4247069863 3.230364e-01
#> 841  4.488628e-02  4.9192288071 1.228475e-01
#> 842  3.839886e-02  0.9210852105 2.760578e-02
#> 843  2.245041e-03  3.1784913293 9.592546e-03
#> 844  7.938222e-01  2.8696027732 8.995487e-01
#> 845  6.495458e-01  2.9311663098 8.088250e-01
#> 846  8.748031e-01  3.0246812276 9.514664e-01
#> 847  3.506193e-01  2.6129750561 5.278870e-01
#> 848  7.620207e-01  2.6081900815 8.621304e-01
#> 849  5.044746e-02  1.1071082898 4.268697e-02
#> 850  7.236861e-01  2.4520356063 8.246090e-01
#> 851  6.524044e-01  1.6252876930 6.460384e-01
#> 852  5.095421e-01  4.8401851450 7.219672e-01
#> 853  3.023436e-01  2.7323934532 4.856024e-01
#> 854  1.773893e-02  2.8405189282 5.643062e-02
#> 855  7.455018e-01 -0.2196521173 2.500564e-01
#> 856  3.450170e-01  0.6725362179 1.983882e-01
#> 857  4.437418e-01  1.0233393019 3.350651e-01
#> 858  3.401954e-01  1.4129241280 3.336876e-01
#> 859  6.906269e-01  1.4319871847 6.395245e-01
#> 860  7.556356e-01  2.6436409567 8.606219e-01
#> 861  4.259781e-01  1.7626928924 4.709582e-01
#> 862  3.239230e-01  1.7014219743 3.694345e-01
#> 863  4.268860e-01  3.1895625592 6.370702e-01
#> 864  7.574600e-01 -0.1089412039 2.725272e-01
#> 865  7.177670e-01  1.9267179960 7.575286e-01
#> 866  1.618756e-01  2.8634028693 3.090527e-01
#> 867  9.552857e-01  3.0747074615 9.866414e-01
#> 868  8.934302e-02  1.7941473698 1.314200e-01
#> 869  8.166525e-01  1.5663861675 7.677870e-01
#> 870  9.052035e-01  1.8177762156 8.834424e-01
#> 871  7.631278e-02  1.5689213270 9.498601e-02
#> 872  7.312809e-01  1.5753903896 7.014853e-01
#> 873  5.332518e-01  0.6461803236 3.181802e-01
#> 874  6.602831e-01  1.8034050510 6.871263e-01
#> 875  6.133504e-01  2.2341161368 7.198369e-01
#> 876  8.524172e-01  1.4427937060 7.665392e-01
#> 877  8.599657e-01  0.8866747251 5.962406e-01
#> 878  3.597465e-01  0.3693645741 1.663916e-01
#> 879  7.488344e-01  1.6121761185 7.238762e-01
#> 880  7.138523e-01  3.7226320166 8.696870e-01
#> 881  3.469041e-01  1.4414996998 3.447169e-01
#> 882  5.256222e-01  1.3633391539 4.860862e-01
#> 883  9.501738e-01  4.7813871339 9.935238e-01
#> 884  8.549252e-01  0.0427441236 3.380187e-01
#> 885  2.697489e-01  2.1425278964 3.959003e-01
#> 886  7.976768e-02  2.6644987989 1.748364e-01
#> 887  3.401766e-01  1.5213725075 3.525909e-01
#> 888  1.001596e-01  3.1836895831 2.185951e-01
#> 889  3.860880e-01  2.8054372913 5.765267e-01
#> 890  7.899680e-01  2.0533177579 8.353253e-01
#> 891  8.240255e-01  0.8326535848 5.557907e-01
#> 892  7.818504e-01  2.3233501559 8.572951e-01
#> 893  1.632412e-01  1.6792169776 2.045748e-01
#> 894  5.099523e-01  1.1140497359 4.117067e-01
#> 895  5.089130e-01  2.1512781718 6.202633e-01
#> 896  9.894238e-01  2.5793634720 9.885286e-01
#> 897  3.516052e-01  1.9208331738 4.357509e-01
#> 898  2.244847e-01  2.8487676353 3.964851e-01
#> 899  3.676714e-02 -0.5110334871 6.221886e-03
#> 900  5.987823e-01  2.7384771144 7.547087e-01
#> 901  1.232188e-01  1.4290057147 1.316493e-01
#> 902  8.459245e-01  2.2865390164 8.995487e-01
#> 903  7.914543e-01  3.1476198559 9.103703e-01
#> 904  2.632531e-01  2.1395587021 3.879671e-01
#> 905  5.150769e-01  2.0889266088 6.153819e-01
#> 906  3.016506e-01 -0.6301593170 6.098123e-02
#> 907  5.097664e-01  0.7827791679 3.300657e-01
#> 908  8.120134e-01  2.7491525789 9.038550e-01
#> 909  4.744385e-01  0.5840670759 2.679754e-01
#> 910  3.479962e-01  1.8876173382 4.260718e-01
#> 911  9.240336e-01  2.3040320060 9.477939e-01
#> 912  6.434938e-01  1.6459871951 6.419672e-01
#> 913  1.418648e-01  1.1487575105 1.182664e-01
#> 914  8.786455e-01  0.5388269248 4.898820e-01
#> 915  7.610242e-02  2.2642518462 1.545325e-01
#> 916  5.169391e-01  0.0926420560 2.067241e-01
#> 917  8.416233e-01  1.0747687338 6.485536e-01
#> 918  4.906699e-01  1.8884287071 5.546464e-01
#> 919  9.711663e-01  1.0347655746 7.173593e-01
#> 920  5.195139e-02  1.8371010761 8.791054e-02
#> 921  4.609924e-01  2.8601840549 6.514101e-01
#> 922  2.026883e-02  2.0180987750 4.622532e-02
#> 923  7.271574e-01  2.1372624558 7.977335e-01
#> 924  2.568295e-01  3.5988860712 4.483448e-01
#> 925  6.735103e-01  1.8886991513 7.142364e-01
#> 926  3.551968e-01  2.2854558736 5.015017e-01
#> 927  3.139048e-01  0.0160901039 1.055843e-01
#> 928  8.497211e-01  2.0307402181 8.762616e-01
#> 929  3.503469e-01  1.2399951137 3.092535e-01
#> 930  7.309140e-01  0.7759867825 4.797328e-01
#> 931  4.156333e-01  3.0023666525 6.180231e-01
#> 932  3.600126e-01  1.9784585771 4.550205e-01
#> 933  8.635538e-01  2.9453213393 9.430513e-01
#> 934  1.629541e-02  1.0915087838 1.491638e-02
#> 935  4.260862e-01 -0.4022022269 1.145470e-01
#> 936  3.007389e-02  2.1629380475 7.197902e-02
#> 937  9.534432e-01  2.9432089306 9.838114e-01
#> 938  1.754448e-01  4.5446048602 3.429246e-01
#> 939  7.132082e-01  2.8871909335 8.483438e-01
#> 940  3.500370e-01  3.0604367665 5.540775e-01
#> 941  9.667863e-01  1.3842521110 8.294846e-01
#> 942  4.989695e-01  2.3528548814 6.391741e-01
#> 943  3.862510e-01  1.5246718717 3.926130e-01
#> 944  8.140729e-01  2.4220563698 8.867665e-01
#> 945  3.503193e-01  0.8164408458 2.237556e-01
#> 946  4.160735e-01  1.6162504165 4.349960e-01
#> 947  1.775559e-01  0.5403341943 8.459589e-02
#> 948  2.432968e-02  2.0457732245 5.589363e-02
#> 949  6.215517e-01  2.4524561138 7.478555e-01
#> 950  6.354339e-01  2.0575658704 7.128619e-01
#> 951  2.325986e-01  1.3613061469 2.284602e-01
#> 952  9.073391e-01  1.7613186817 8.746480e-01
#> 953  5.996815e-01  0.3570973784 2.985360e-01
#> 954  8.302184e-01  1.7774254290 8.213208e-01
#> 955  8.930471e-01  0.2244315493 3.994825e-01
#> 956  8.661828e-01  1.9845340972 8.815583e-01
#> 957  3.346787e-01  3.7510468745 5.383981e-01
#> 958  6.827019e-01  2.7042065055 8.138784e-01
#> 959  6.409019e-01  3.4810193242 8.205080e-01
#> 960  2.510502e-02  3.3528879122 7.540360e-02
#> 961  4.265767e-01  1.6700421643 4.561847e-01
#> 962  9.840792e-01  2.3634987405 9.796918e-01
#> 963  1.192266e-02  0.1723372669 3.762015e-03
#> 964  2.703916e-02  2.8937777441 7.845154e-02
#> 965  1.365500e-01  1.2808750657 1.278847e-01
#> 966  2.457428e-01  2.9405095198 4.278591e-01
#> 967  1.449127e-01  0.1288424091 4.480210e-02
#> 968  2.853323e-02  3.1470027172 8.377366e-02
#> 969  4.598689e-01  1.4970089051 4.528585e-01
#> 970  7.308397e-01  3.4258983683 8.794328e-01
#> 971  6.484786e-01  1.9806600444 7.098059e-01
#> 972  3.798839e-01  1.3619262736 3.588260e-01
#> 973  3.378289e-01  2.4982710004 5.064323e-01
#> 974  4.802846e-01  1.9417532648 5.561695e-01
#> 975  2.726961e-03  1.3737832222 3.593568e-03
#> 976  3.365259e-01  1.1053792392 2.692883e-01
#> 977  7.038057e-01  4.4100602149 8.741474e-01
#> 978  6.135114e-01  1.0503527494 4.768564e-01
#> 979  4.265669e-02  2.5591515006 1.085446e-01
#> 980  9.484710e-01  1.7885853103 9.064611e-01
#> 981  6.428923e-01  0.9821451982 4.785432e-01
#> 982  9.403911e-01  0.6098090108 5.446467e-01
#> 983  6.263744e-01  0.5113706909 3.472391e-01
#> 984  4.539110e-01  0.5939553665 2.569394e-01
#> 985  6.424797e-01  0.5037645178 3.555525e-01
#> 986  8.970250e-01  2.6861459241 9.506591e-01
#> 987  4.148087e-01  1.7632383693 4.609596e-01
#> 988  9.679732e-01  3.9991424292 9.958951e-01
#> 989  4.345573e-01  2.6332386829 6.095090e-01
#> 990  4.987532e-01  3.6481975469 7.064416e-01
#> 991  6.293425e-01  2.5027186434 7.578575e-01
#> 992  5.034231e-01  2.8454674124 6.877782e-01
#> 993  6.080903e-01  2.4672473957 7.388633e-01
#> 994  2.942196e-01  1.5979449363 3.244392e-01
#> 995  9.036450e-01  2.9235267033 9.623365e-01
#> 996  7.540582e-01  1.9919443593 7.979420e-01
#> 997  3.784961e-01  3.0337842376 5.829769e-01
#> 998  6.750065e-01  1.2008730183 5.693423e-01
#> 999  1.381404e-01  3.0042330210 2.764858e-01
#> 1000 4.856037e-01  1.6880266438 5.099065e-01
#> 
#> [[2]]
#>   q_low left_cens splinecorr
#> 1    NA         0          1
#> 
# }