Implements the univariate cumulative martingale residual test of Boschi & Wit (2025), Section 3.3. The test statistic is \(T_x = \sup_u |\hat W[u]|\) where \(\hat W[u]\) is the normalised cumulative score process for the requested covariate; under correct specification \(\hat W\) converges to a standard Brownian bridge, so the p-value follows the Kolmogorov-Smirnov distribution \(2 \sum_{k\ge 1} (-1)^{k-1} e^{-2 k^2 t^2}\).
Usage
gof_univariate(
event_log,
model,
covariate,
scope = "all",
mode = "one",
half_life = NULL,
seed = NULL
)Arguments
- event_log
Dyadic event log.
- model
Named character vector of
<stat> = "linear"mapping.- covariate
Name of the covariate in
modelto test.- scope, mode, half_life, seed
See
compare_models().
Value
A list with statistic (\(T_x\)), p_value (KS),
W (numeric vector of length n, the normalised process),
and u (the time grid in [0, 1]).
References
Boschi M, Wit EC (2025). Goodness of fit in relational event models. Statistics and Computing 36(4).
Examples
# \donttest{
data(classroom_events)
gof_univariate(classroom_events,
model = c(reciprocity_count = "linear",
transitivity_count = "linear"),
covariate = "reciprocity_count", seed = 1)
#> $statistic
#> [1] 0.7495182
#>
#> $p_value
#> [1] 0.6279781
#>
#> $W
#> [1] -1.400075e-15 1.459096e-02 1.459096e-02 2.918191e-02 2.918191e-02
#> [6] 4.377287e-02 4.377287e-02 5.836383e-02 5.836383e-02 5.836383e-02
#> [11] 5.836383e-02 5.836383e-02 5.836383e-02 5.836383e-02 3.098026e-02
#> [16] 9.400354e-03 9.400354e-03 -1.217955e-02 -1.217955e-02 -1.217955e-02
#> [21] -1.217955e-02 -1.217955e-02 -3.956312e-02 -2.775679e-02 -2.074736e-02
#> [26] -4.813094e-02 -4.813094e-02 -4.813094e-02 -4.813094e-02 -4.813094e-02
#> [31] -4.813094e-02 -4.813094e-02 -4.813094e-02 -4.813094e-02 -7.551451e-02
#> [36] -7.551451e-02 -7.551451e-02 -7.551451e-02 -7.551451e-02 -6.824359e-02
#> [41] -6.824359e-02 -6.824359e-02 -6.824359e-02 -6.824359e-02 -6.824359e-02
#> [46] -5.643726e-02 -5.643726e-02 -4.184631e-02 -6.922988e-02 -5.742355e-02
#> [51] -5.742355e-02 -4.561722e-02 -4.561722e-02 -3.381089e-02 -3.381089e-02
#> [56] -1.921993e-02 -1.921993e-02 -1.194902e-02 -1.194902e-02 -1.194902e-02
#> [61] -2.735068e-02 -2.735068e-02 -1.275972e-02 -1.275972e-02 -1.275972e-02
#> [66] -1.041673e-02 -1.041673e-02 -1.041673e-02 1.389600e-03 2.211696e-02
#> [71] 3.807935e-02 1.649944e-02 1.097782e-03 -6.706147e-03 -6.706147e-03
#> [76] -6.706147e-03 -2.828605e-02 -2.828605e-02 -4.674860e-02 -4.674860e-02
#> [81] -1.380927e-01 -1.380927e-01 -1.380927e-01 -1.342263e-01 -1.342263e-01
#> [86] -1.342263e-01 -1.248751e-01 -1.535438e-01 -1.720063e-01 -1.602000e-01
#> [91] -1.425900e-01 -1.332602e-01 -1.548401e-01 -1.548401e-01 -1.548401e-01
#> [96] -1.548401e-01 -1.548401e-01 -1.548401e-01 -1.548401e-01 -1.764200e-01
#> [101] -1.864089e-01 -1.864089e-01 -1.864089e-01 -1.864089e-01 -1.776855e-01
#> [106] -2.123608e-01 -2.123608e-01 -2.030311e-01 -2.090298e-01 -2.090298e-01
#> [111] -1.944388e-01 -1.631081e-01 -1.471457e-01 -1.471457e-01 -1.549496e-01
#> [116] -1.549496e-01 -1.549496e-01 -1.549496e-01 -1.732543e-01 -1.732543e-01
#> [121] -1.978533e-01 -1.978533e-01 -1.978533e-01 -1.978533e-01 -1.978533e-01
#> [126] -2.056572e-01 -2.056572e-01 -1.939814e-01 -1.939814e-01 -1.939814e-01
#> [131] -1.565066e-01 -1.565066e-01 -1.509395e-01 -1.509395e-01 -1.072350e-01
#> [136] -9.996412e-02 -1.245631e-01 -1.099721e-01 -1.253738e-01 -1.313725e-01
#> [141] -1.313725e-01 -1.313725e-01 -2.075477e-01 -2.075477e-01 -2.200889e-01
#> [146] -2.354905e-01 -2.354905e-01 -2.354905e-01 -2.354905e-01 -2.354905e-01
#> [151] -2.307144e-01 -2.307144e-01 -2.307144e-01 -2.251473e-01 -2.251473e-01
#> [156] -2.195802e-01 -2.140130e-01 -2.140130e-01 -2.067421e-01 -1.973910e-01
#> [161] -4.146238e-01 -3.854228e-01 -3.674452e-01 -3.674452e-01 -3.674452e-01
#> [166] -3.828469e-01 -3.828469e-01 -3.796943e-01 -3.796943e-01 -3.651033e-01
#> [171] -3.651033e-01 -3.882546e-01 -3.840447e-01 -3.840447e-01 -5.485437e-01
#> [176] -5.485437e-01 -5.845810e-01 -5.845810e-01 -6.425615e-01 -6.279705e-01
#> [181] -6.156845e-01 -5.843538e-01 -5.843538e-01 -5.615425e-01 -5.604234e-01
#> [186] -6.132387e-01 -6.132387e-01 -5.818528e-01 -5.818528e-01 -5.663675e-01
#> [191] -5.401419e-01 -5.401419e-01 -5.145774e-01 -5.122344e-01 -5.122344e-01
#> [196] -5.004281e-01 -4.706723e-01 -5.115774e-01 -4.876688e-01 -4.789454e-01
#> [201] -4.772141e-01 -4.655382e-01 -4.953770e-01 -4.837012e-01 -4.837012e-01
#> [206] -4.837012e-01 -4.830177e-01 -4.733948e-01 -5.032336e-01 -4.719029e-01
#> [211] -4.719029e-01 -3.942319e-01 -3.942319e-01 -4.216155e-01 -3.960510e-01
#> [216] -3.800886e-01 -3.758787e-01 -3.706429e-01 -3.706429e-01 -3.209317e-01
#> [221] -3.049693e-01 -2.810194e-01 -2.810194e-01 -2.631128e-01 -2.631128e-01
#> [226] -2.575457e-01 -2.138412e-01 -1.935419e-01 -1.622111e-01 -1.208166e-01
#> [231] -1.155941e-01 -1.001088e-01 -6.189748e-02 -4.117013e-02 -3.639402e-02
#> [236] -2.928015e-02 -2.722049e-02 -2.244438e-02 -4.090693e-02 7.251616e-03
#> [241] -5.289577e-03 9.301381e-03 9.301381e-03 2.691138e-02 2.691138e-02
#> [246] 2.691138e-02 -6.443275e-02 -3.114296e-02 -6.098175e-02 -6.098175e-02
#> [251] -6.098175e-02 6.456976e-02 6.738031e-02 7.261607e-02 7.261607e-02
#> [256] 9.052272e-02 1.021985e-01 1.503571e-01 1.649480e-01 1.766239e-01
#> [261] 1.938910e-01 1.967016e-01 2.060527e-01 2.739827e-01 3.221413e-01
#> [266] 3.314924e-01 2.226461e-01 2.663506e-01 2.193015e-01 2.432514e-01
#> [271] 2.526664e-01 2.547260e-01 2.600998e-01 2.629241e-01 2.775150e-01
#> [276] 3.278100e-01 3.004264e-01 3.068984e-01 3.187047e-01 3.449303e-01
#> [281] 2.869498e-01 2.987562e-01 2.987562e-01 3.163662e-01 3.232744e-01
#> [286] 3.259692e-01 3.285419e-01 3.185530e-01 3.185530e-01 3.222468e-01
#> [291] 2.477334e-01 2.680328e-01 2.732686e-01 2.865609e-01 3.072882e-01
#> [296] 3.454995e-01 3.465910e-01 3.480214e-01 3.635066e-01 4.286349e-01
#> [301] 3.877299e-01 4.116385e-01 3.990973e-01 4.022498e-01 3.260747e-01
#> [306] 3.299411e-01 3.299411e-01 3.445321e-01 3.171485e-01 3.171485e-01
#> [311] 2.939973e-01 2.978637e-01 2.795590e-01 1.822887e-01 1.875245e-01
#> [316] 1.875245e-01 1.880236e-01 1.932594e-01 1.932594e-01 1.170842e-01
#> [321] -1.373697e-02 -1.973569e-02 -1.973569e-02 -1.246477e-02 -9.312201e-03
#> [326] 2.494129e-03 -9.477621e-02 -8.745865e-02 -1.068306e-01 -1.047392e-01
#> [331] -9.917204e-02 -9.917204e-02 -9.270006e-02 -7.810911e-02 -8.809801e-02
#> [336] -9.808692e-02 -8.580092e-02 -8.056515e-02 -2.526061e-01 -2.500334e-01
#> [341] -2.449772e-01 -2.435468e-01 -1.839354e-01 -1.839354e-01 -1.812405e-01
#> [346] -1.689545e-01 -1.647446e-01 -1.945834e-01 -1.772933e-01 -2.092123e-01
#> [351] -2.092123e-01 -1.829867e-01 -2.045666e-01 -2.127774e-01 -2.253186e-01
#> [356] -2.156957e-01 -2.156957e-01 -1.949684e-01 -1.894012e-01 -1.654927e-01
#> [361] -1.636586e-01 -1.618244e-01 -1.442144e-01 -1.442144e-01 -1.421153e-01
#> [366] -1.421153e-01 -1.323020e-01 -1.313302e-01 -1.214023e-01 -9.749378e-02
#> [371] -9.048435e-02 -7.452196e-02 -3.531358e-02 -3.002469e-02 -2.581476e-02
#> [376] 1.239656e-02 1.971412e-02 7.332032e-02 7.332032e-02 4.135634e-02
#> [381] 9.462582e-02 3.666757e-02 3.800287e-02 3.800287e-02 7.955500e-02
#> [386] 1.572260e-01 1.701662e-01 2.016167e-01 2.325988e-01 2.427419e-01
#> [391] 2.464357e-01 2.610266e-01 2.139776e-01 2.285685e-01 2.402444e-01
#> [396] 2.884029e-01 3.004322e-01 3.010814e-01 3.027670e-01 3.092390e-01
#> [401] 3.243608e-01 3.246104e-01 3.766770e-01 3.810328e-01 3.810328e-01
#> [406] 3.986428e-01 4.104491e-01 4.360136e-01 4.413873e-01 4.464435e-01
#> [411] 4.310418e-01 4.439821e-01 4.474927e-01 4.573060e-01 4.573060e-01
#> [416] 4.812146e-01 3.791301e-01 2.353108e-01 1.773526e-01 1.826414e-01
#> [421] 1.899590e-01 1.924768e-01 2.057691e-01 2.296776e-01 2.413535e-01
#> [426] 2.795648e-01 1.015928e-01 1.133992e-01 6.471609e-02 7.343953e-02
#> [431] 6.089834e-02 9.418813e-02 1.255189e-01 1.325283e-01 1.350461e-01
#> [436] 1.379313e-01 1.618812e-01 1.746690e-01 1.892600e-01 1.915748e-01
#> [441] 1.984830e-01 2.673697e-01 3.087642e-01 3.404989e-01 3.404989e-01
#> [446] 3.667245e-01 3.675342e-01 3.880084e-01 3.978217e-01 4.017801e-01
#> [451] 4.105036e-01 4.268177e-01 3.859127e-01 4.267199e-01 4.267199e-01
#> [456] 4.542861e-01 4.014708e-01 4.042951e-01 4.579013e-01 4.677146e-01
#> [461] 4.831999e-01 4.831999e-01 5.269043e-01 4.295425e-01 2.042164e-01
#> [466] 2.129399e-01 2.177160e-01 2.300020e-01 2.429423e-01 2.522720e-01
#> [471] 2.820278e-01 3.023272e-01 3.262357e-01 3.435028e-01 3.508204e-01
#> [476] 3.535152e-01 3.553493e-01 3.570349e-01 3.470460e-01 3.542613e-01
#> [481] 3.326814e-01 3.443572e-01 3.475098e-01 3.788958e-01 4.171071e-01
#> [486] 4.585016e-01 4.590304e-01 4.603657e-01 4.638191e-01 4.845464e-01
#> [491] 4.991374e-01 5.195367e-01 5.210664e-01 5.239517e-01 5.292406e-01
#> [496] 5.317583e-01 5.370472e-01 5.387328e-01 5.233312e-01 5.332591e-01
#> [501] 5.361079e-01 5.368655e-01 5.368655e-01 5.410754e-01 3.192283e-01
#> [506] 3.204551e-01 3.204551e-01 3.408545e-01 3.525303e-01 3.659335e-01
#> [511] 3.659335e-01 3.887448e-01 3.896374e-01 3.899400e-01 4.059024e-01
#> [516] 4.061513e-01 4.090277e-01 4.184426e-01 4.236784e-01 4.534342e-01
#> [521] 3.561638e-01 3.695671e-01 3.695671e-01 3.764753e-01 4.062311e-01
#> [526] 4.182603e-01 4.598124e-01 4.613006e-01 4.638184e-01 4.811085e-01
#> [531] 4.987185e-01 5.007781e-01 5.009259e-01 5.023000e-01 5.122279e-01
#> [536] 5.256311e-01 5.311982e-01 5.444905e-01 5.444905e-01 5.517058e-01
#> [541] 5.552164e-01 5.639398e-01 6.120983e-01 5.784756e-01 6.012868e-01
#> [546] 6.063430e-01 6.081771e-01 6.134660e-01 6.362772e-01 6.958887e-01
#> [551] 6.965362e-01 7.453083e-01 7.495182e-01 7.086132e-01 4.436989e-01
#> [556] 4.553747e-01 4.553747e-01 4.622829e-01 4.666387e-01 4.672862e-01
#> [561] 4.769091e-01 4.842267e-01 4.930630e-01 4.999712e-01 5.025646e-01
#> [566] 4.364708e-01 4.592821e-01 4.631502e-01 4.727731e-01 4.759499e-01
#> [571] 4.803057e-01 4.897207e-01 4.928946e-01 4.998028e-01 5.226140e-01
#> [576] 5.238409e-01 5.249539e-01 5.582437e-01 5.699196e-01 5.903189e-01
#> [581] 6.049099e-01 6.049099e-01 6.101988e-01 6.198216e-01 6.460472e-01
#> [586] 6.487420e-01 5.826482e-01 5.870040e-01 5.997919e-01 6.000945e-01
#> [591] 6.082706e-01 6.200769e-01 6.253658e-01 6.347808e-01 6.379576e-01
#> [596] 6.419160e-01 5.839356e-01 5.892245e-01 5.707619e-01 5.083445e-01
#> [601] 4.809609e-01 4.815498e-01 5.132845e-01 5.158779e-01 5.177121e-01
#> [606] 5.192002e-01 5.251651e-01 5.257376e-01 3.819183e-01 4.023176e-01
#> [611] 4.117326e-01 4.154264e-01 4.154264e-01 4.416520e-01 4.426516e-01
#> [616] 4.495599e-01 4.734684e-01 5.032242e-01 5.061094e-01 5.079436e-01
#> [621] 5.091675e-01 5.120439e-01 5.120439e-01 5.275292e-01 5.503404e-01
#> [626] 5.731517e-01 5.731517e-01 5.738788e-01 3.402401e-01 3.420387e-01
#> [631] 3.455985e-01 3.557416e-01 3.563142e-01 3.802227e-01 3.922520e-01
#> [636] 3.982168e-01 4.046895e-01 4.051178e-01 4.326840e-01 4.920818e-01
#> [641] 4.992971e-01 5.127003e-01 5.355115e-01 5.355115e-01 5.376130e-01
#> [646] 5.498990e-01 5.572165e-01 5.775159e-01 5.590533e-01 5.605415e-01
#> [651] 5.606821e-01 5.779492e-01 5.781981e-01 6.470847e-01 6.562331e-01
#> [656] 6.563560e-01 6.651924e-01 6.677101e-01 7.009999e-01 7.022737e-01
#> [661] 7.045850e-01 6.747462e-01 7.283524e-01 7.355677e-01 7.355677e-01
#> [666] 7.408566e-01 7.254549e-01 7.038750e-01 6.458945e-01 6.613798e-01
#> [671] 6.613798e-01 6.816792e-01 6.976416e-01 7.183689e-01 7.183689e-01
#> [676] 7.218795e-01 3.703972e-01 4.017279e-01 4.046043e-01 1.396900e-01
#> [681] 1.438999e-01 1.491357e-01 1.564066e-01 1.634160e-01 1.687898e-01
#> [686] 1.708912e-01 1.493113e-01 1.493113e-01 5.796714e-02 -1.340323e-02
#> [691] 0.000000e+00
#>
#> $u
#> [1] 0.001447178 0.002894356 0.004341534 0.005788712 0.007235890 0.008683068
#> [7] 0.010130246 0.011577424 0.013024602 0.014471780 0.015918958 0.017366136
#> [13] 0.018813314 0.020260492 0.021707670 0.023154848 0.024602026 0.026049204
#> [19] 0.027496382 0.028943560 0.030390738 0.031837916 0.033285094 0.034732272
#> [25] 0.036179450 0.037626628 0.039073806 0.040520984 0.041968162 0.043415340
#> [31] 0.044862518 0.046309696 0.047756874 0.049204052 0.050651230 0.052098408
#> [37] 0.053545586 0.054992764 0.056439942 0.057887120 0.059334298 0.060781476
#> [43] 0.062228654 0.063675832 0.065123010 0.066570188 0.068017366 0.069464544
#> [49] 0.070911722 0.072358900 0.073806078 0.075253256 0.076700434 0.078147612
#> [55] 0.079594790 0.081041968 0.082489146 0.083936324 0.085383502 0.086830680
#> [61] 0.088277858 0.089725036 0.091172214 0.092619392 0.094066570 0.095513748
#> [67] 0.096960926 0.098408104 0.099855282 0.101302460 0.102749638 0.104196816
#> [73] 0.105643994 0.107091172 0.108538350 0.109985528 0.111432706 0.112879884
#> [79] 0.114327062 0.115774240 0.117221418 0.118668596 0.120115774 0.121562952
#> [85] 0.123010130 0.124457308 0.125904486 0.127351664 0.128798842 0.130246020
#> [91] 0.131693198 0.133140376 0.134587554 0.136034732 0.137481910 0.138929088
#> [97] 0.140376266 0.141823444 0.143270622 0.144717800 0.146164978 0.147612156
#> [103] 0.149059334 0.150506512 0.151953690 0.153400868 0.154848046 0.156295224
#> [109] 0.157742402 0.159189580 0.160636758 0.162083936 0.163531114 0.164978292
#> [115] 0.166425470 0.167872648 0.169319826 0.170767004 0.172214182 0.173661360
#> [121] 0.175108538 0.176555716 0.178002894 0.179450072 0.180897250 0.182344428
#> [127] 0.183791606 0.185238784 0.186685962 0.188133140 0.189580318 0.191027496
#> [133] 0.192474674 0.193921852 0.195369030 0.196816208 0.198263386 0.199710564
#> [139] 0.201157742 0.202604920 0.204052098 0.205499276 0.206946454 0.208393632
#> [145] 0.209840810 0.211287988 0.212735166 0.214182344 0.215629522 0.217076700
#> [151] 0.218523878 0.219971056 0.221418234 0.222865412 0.224312590 0.225759768
#> [157] 0.227206946 0.228654124 0.230101302 0.231548480 0.232995658 0.234442836
#> [163] 0.235890014 0.237337192 0.238784370 0.240231548 0.241678726 0.243125904
#> [169] 0.244573082 0.246020260 0.247467438 0.248914616 0.250361795 0.251808973
#> [175] 0.253256151 0.254703329 0.256150507 0.257597685 0.259044863 0.260492041
#> [181] 0.261939219 0.263386397 0.264833575 0.266280753 0.267727931 0.269175109
#> [187] 0.270622287 0.272069465 0.273516643 0.274963821 0.276410999 0.277858177
#> [193] 0.279305355 0.280752533 0.282199711 0.283646889 0.285094067 0.286541245
#> [199] 0.287988423 0.289435601 0.290882779 0.292329957 0.293777135 0.295224313
#> [205] 0.296671491 0.298118669 0.299565847 0.301013025 0.302460203 0.303907381
#> [211] 0.305354559 0.306801737 0.308248915 0.309696093 0.311143271 0.312590449
#> [217] 0.314037627 0.315484805 0.316931983 0.318379161 0.319826339 0.321273517
#> [223] 0.322720695 0.324167873 0.325615051 0.327062229 0.328509407 0.329956585
#> [229] 0.331403763 0.332850941 0.334298119 0.335745297 0.337192475 0.338639653
#> [235] 0.340086831 0.341534009 0.342981187 0.344428365 0.345875543 0.347322721
#> [241] 0.348769899 0.350217077 0.351664255 0.353111433 0.354558611 0.356005789
#> [247] 0.357452967 0.358900145 0.360347323 0.361794501 0.363241679 0.364688857
#> [253] 0.366136035 0.367583213 0.369030391 0.370477569 0.371924747 0.373371925
#> [259] 0.374819103 0.376266281 0.377713459 0.379160637 0.380607815 0.382054993
#> [265] 0.383502171 0.384949349 0.386396527 0.387843705 0.389290883 0.390738061
#> [271] 0.392185239 0.393632417 0.395079595 0.396526773 0.397973951 0.399421129
#> [277] 0.400868307 0.402315485 0.403762663 0.405209841 0.406657019 0.408104197
#> [283] 0.409551375 0.410998553 0.412445731 0.413892909 0.415340087 0.416787265
#> [289] 0.418234443 0.419681621 0.421128799 0.422575977 0.424023155 0.425470333
#> [295] 0.426917511 0.428364689 0.429811867 0.431259045 0.432706223 0.434153401
#> [301] 0.435600579 0.437047757 0.438494935 0.439942113 0.441389291 0.442836469
#> [307] 0.444283647 0.445730825 0.447178003 0.448625181 0.450072359 0.451519537
#> [313] 0.452966715 0.454413893 0.455861071 0.457308249 0.458755427 0.460202605
#> [319] 0.461649783 0.463096961 0.464544139 0.465991317 0.467438495 0.468885673
#> [325] 0.470332851 0.471780029 0.473227207 0.474674385 0.476121563 0.477568741
#> [331] 0.479015919 0.480463097 0.481910275 0.483357453 0.484804631 0.486251809
#> [337] 0.487698987 0.489146165 0.490593343 0.492040521 0.493487699 0.494934877
#> [343] 0.496382055 0.497829233 0.499276411 0.500723589 0.502170767 0.503617945
#> [349] 0.505065123 0.506512301 0.507959479 0.509406657 0.510853835 0.512301013
#> [355] 0.513748191 0.515195369 0.516642547 0.518089725 0.519536903 0.520984081
#> [361] 0.522431259 0.523878437 0.525325615 0.526772793 0.528219971 0.529667149
#> [367] 0.531114327 0.532561505 0.534008683 0.535455861 0.536903039 0.538350217
#> [373] 0.539797395 0.541244573 0.542691751 0.544138929 0.545586107 0.547033285
#> [379] 0.548480463 0.549927641 0.551374819 0.552821997 0.554269175 0.555716353
#> [385] 0.557163531 0.558610709 0.560057887 0.561505065 0.562952243 0.564399421
#> [391] 0.565846599 0.567293777 0.568740955 0.570188133 0.571635311 0.573082489
#> [397] 0.574529667 0.575976845 0.577424023 0.578871201 0.580318379 0.581765557
#> [403] 0.583212735 0.584659913 0.586107091 0.587554269 0.589001447 0.590448625
#> [409] 0.591895803 0.593342981 0.594790159 0.596237337 0.597684515 0.599131693
#> [415] 0.600578871 0.602026049 0.603473227 0.604920405 0.606367583 0.607814761
#> [421] 0.609261939 0.610709117 0.612156295 0.613603473 0.615050651 0.616497829
#> [427] 0.617945007 0.619392185 0.620839363 0.622286541 0.623733719 0.625180897
#> [433] 0.626628075 0.628075253 0.629522431 0.630969609 0.632416787 0.633863965
#> [439] 0.635311143 0.636758321 0.638205499 0.639652677 0.641099855 0.642547033
#> [445] 0.643994211 0.645441389 0.646888567 0.648335745 0.649782923 0.651230101
#> [451] 0.652677279 0.654124457 0.655571635 0.657018813 0.658465991 0.659913169
#> [457] 0.661360347 0.662807525 0.664254703 0.665701881 0.667149059 0.668596237
#> [463] 0.670043415 0.671490593 0.672937771 0.674384949 0.675832127 0.677279305
#> [469] 0.678726483 0.680173661 0.681620839 0.683068017 0.684515195 0.685962373
#> [475] 0.687409551 0.688856729 0.690303907 0.691751085 0.693198263 0.694645441
#> [481] 0.696092619 0.697539797 0.698986975 0.700434153 0.701881331 0.703328509
#> [487] 0.704775687 0.706222865 0.707670043 0.709117221 0.710564399 0.712011577
#> [493] 0.713458755 0.714905933 0.716353111 0.717800289 0.719247467 0.720694645
#> [499] 0.722141823 0.723589001 0.725036179 0.726483357 0.727930535 0.729377713
#> [505] 0.730824891 0.732272069 0.733719247 0.735166425 0.736613603 0.738060781
#> [511] 0.739507959 0.740955137 0.742402315 0.743849493 0.745296671 0.746743849
#> [517] 0.748191027 0.749638205 0.751085384 0.752532562 0.753979740 0.755426918
#> [523] 0.756874096 0.758321274 0.759768452 0.761215630 0.762662808 0.764109986
#> [529] 0.765557164 0.767004342 0.768451520 0.769898698 0.771345876 0.772793054
#> [535] 0.774240232 0.775687410 0.777134588 0.778581766 0.780028944 0.781476122
#> [541] 0.782923300 0.784370478 0.785817656 0.787264834 0.788712012 0.790159190
#> [547] 0.791606368 0.793053546 0.794500724 0.795947902 0.797395080 0.798842258
#> [553] 0.800289436 0.801736614 0.803183792 0.804630970 0.806078148 0.807525326
#> [559] 0.808972504 0.810419682 0.811866860 0.813314038 0.814761216 0.816208394
#> [565] 0.817655572 0.819102750 0.820549928 0.821997106 0.823444284 0.824891462
#> [571] 0.826338640 0.827785818 0.829232996 0.830680174 0.832127352 0.833574530
#> [577] 0.835021708 0.836468886 0.837916064 0.839363242 0.840810420 0.842257598
#> [583] 0.843704776 0.845151954 0.846599132 0.848046310 0.849493488 0.850940666
#> [589] 0.852387844 0.853835022 0.855282200 0.856729378 0.858176556 0.859623734
#> [595] 0.861070912 0.862518090 0.863965268 0.865412446 0.866859624 0.868306802
#> [601] 0.869753980 0.871201158 0.872648336 0.874095514 0.875542692 0.876989870
#> [607] 0.878437048 0.879884226 0.881331404 0.882778582 0.884225760 0.885672938
#> [613] 0.887120116 0.888567294 0.890014472 0.891461650 0.892908828 0.894356006
#> [619] 0.895803184 0.897250362 0.898697540 0.900144718 0.901591896 0.903039074
#> [625] 0.904486252 0.905933430 0.907380608 0.908827786 0.910274964 0.911722142
#> [631] 0.913169320 0.914616498 0.916063676 0.917510854 0.918958032 0.920405210
#> [637] 0.921852388 0.923299566 0.924746744 0.926193922 0.927641100 0.929088278
#> [643] 0.930535456 0.931982634 0.933429812 0.934876990 0.936324168 0.937771346
#> [649] 0.939218524 0.940665702 0.942112880 0.943560058 0.945007236 0.946454414
#> [655] 0.947901592 0.949348770 0.950795948 0.952243126 0.953690304 0.955137482
#> [661] 0.956584660 0.958031838 0.959479016 0.960926194 0.962373372 0.963820550
#> [667] 0.965267728 0.966714906 0.968162084 0.969609262 0.971056440 0.972503618
#> [673] 0.973950796 0.975397974 0.976845152 0.978292330 0.979739508 0.981186686
#> [679] 0.982633864 0.984081042 0.985528220 0.986975398 0.988422576 0.989869754
#> [685] 0.991316932 0.992764110 0.994211288 0.995658466 0.997105644 0.998552822
#> [691] 1.000000000
#>
#> $covariate
#> [1] "reciprocity_count"
#>
# }