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] 0.8426279
#>
#> $p_value
#> [1] 0.4765867
#>
#> $W
#> [1] -3.969419e-13 1.722690e-02 1.722690e-02 3.445379e-02 3.445379e-02
#> [6] 5.168069e-02 5.168069e-02 6.890758e-02 6.890758e-02 6.890758e-02
#> [11] 6.890758e-02 6.890758e-02 6.890758e-02 6.890758e-02 6.890758e-02
#> [16] 6.890758e-02 6.890758e-02 6.890758e-02 6.890758e-02 9.239521e-02
#> [21] 9.239521e-02 9.239521e-02 9.239521e-02 1.096221e-01 1.096221e-01
#> [26] 1.096221e-01 1.096221e-01 1.096221e-01 1.096221e-01 1.096221e-01
#> [31] 1.096221e-01 1.096221e-01 1.096221e-01 1.096221e-01 8.060674e-02
#> [36] 8.060674e-02 8.060674e-02 8.060674e-02 8.060674e-02 9.783363e-02
#> [41] 9.783363e-02 9.783363e-02 9.783363e-02 9.783363e-02 9.783363e-02
#> [46] 9.783363e-02 9.783363e-02 1.096053e-01 8.058992e-02 9.781682e-02
#> [51] 9.781682e-02 1.095885e-01 1.095885e-01 1.268154e-01 1.268154e-01
#> [56] 1.440423e-01 1.440423e-01 1.487364e-01 1.487364e-01 1.487364e-01
#> [61] 1.375125e-01 1.375125e-01 1.547394e-01 1.547394e-01 1.547394e-01
#> [66] 1.557127e-01 1.557127e-01 1.557127e-01 1.674843e-01 1.847112e-01
#> [71] 2.003017e-01 1.775471e-01 1.775471e-01 1.775471e-01 1.775471e-01
#> [76] 1.775471e-01 1.547925e-01 1.547925e-01 1.203218e-01 1.203218e-01
#> [81] 6.297924e-02 6.297924e-02 6.297924e-02 7.263842e-02 7.263842e-02
#> [86] 7.263842e-02 7.263842e-02 5.609122e-02 2.162061e-02 2.162061e-02
#> [91] 4.572466e-02 5.331658e-02 5.331658e-02 5.331658e-02 5.331658e-02
#> [96] 5.331658e-02 5.331658e-02 5.331658e-02 5.331658e-02 5.331658e-02
#> [101] 5.331658e-02 5.331658e-02 5.331658e-02 5.331658e-02 6.297576e-02
#> [106] 6.297576e-02 6.297576e-02 7.474742e-02 7.474742e-02 7.474742e-02
#> [111] 7.474742e-02 9.197431e-02 1.016335e-01 1.092254e-01 9.800147e-02
#> [116] 9.800147e-02 9.800147e-02 9.800147e-02 6.557778e-02 6.557778e-02
#> [121] 6.557778e-02 6.557778e-02 6.557778e-02 6.557778e-02 6.557778e-02
#> [126] 5.435384e-02 5.435384e-02 1.020617e-01 1.020617e-01 1.020617e-01
#> [131] 1.138334e-01 1.138334e-01 1.138334e-01 1.138334e-01 1.138334e-01
#> [136] 1.256050e-01 8.695469e-02 9.872634e-02 7.597171e-02 7.597171e-02
#> [141] 7.597171e-02 7.597171e-02 7.597171e-02 7.597171e-02 7.597171e-02
#> [146] 7.597171e-02 7.597171e-02 7.597171e-02 7.597171e-02 7.597171e-02
#> [151] 8.563089e-02 8.563089e-02 8.563089e-02 9.032506e-02 9.032506e-02
#> [156] 9.032506e-02 9.032506e-02 9.032506e-02 9.032506e-02 9.032506e-02
#> [161] -9.872988e-02 -9.872988e-02 -8.708737e-02 -8.708737e-02 -8.708737e-02
#> [166] -1.161027e-01 -1.161027e-01 -1.064436e-01 -1.064436e-01 -9.085305e-02
#> [171] -9.085305e-02 -9.085305e-02 -9.085305e-02 -1.253237e-01 -3.471233e-01
#> [176] -3.471233e-01 -3.471233e-01 -3.353517e-01 -4.181770e-01 -3.946894e-01
#> [181] -3.829178e-01 -3.673273e-01 -3.673273e-01 -3.501004e-01 -3.501004e-01
#> [186] -4.518171e-01 -4.518171e-01 -4.221220e-01 -4.221220e-01 -4.065315e-01
#> [191] -3.968724e-01 -3.968724e-01 -3.968724e-01 -3.872132e-01 -3.843915e-01
#> [196] -3.671646e-01 -3.575054e-01 -3.575054e-01 -3.334967e-01 -3.245133e-01
#> [201] -3.235400e-01 -3.192674e-01 -3.192674e-01 -3.102840e-01 -3.102840e-01
#> [206] -3.074622e-01 -3.062966e-01 -2.939586e-01 -2.939586e-01 -2.767317e-01
#> [211] -2.470366e-01 -1.869758e-01 -1.869758e-01 -1.519575e-01 -1.278534e-01
#> [216] -1.122629e-01 -1.122629e-01 -1.069496e-01 -1.359650e-01 -6.539377e-02
#> [221] -6.069960e-02 -5.592923e-02 -5.592923e-02 -5.196613e-02 -5.196613e-02
#> [226] -4.437421e-02 -1.467915e-02 2.547744e-03 5.025563e-02 8.726567e-02
#> [231] 9.195984e-02 1.016190e-01 1.165244e-01 1.337513e-01 1.368580e-01
#> [236] 1.462696e-01 1.505422e-01 1.578458e-01 1.578458e-01 2.055537e-01
#> [241] 2.131457e-01 2.287362e-01 2.363281e-01 2.519186e-01 2.519186e-01
#> [246] 2.174480e-01 1.490675e-01 1.995698e-01 1.995698e-01 1.995698e-01
#> [251] 1.995698e-01 2.788651e-01 2.885243e-01 2.938376e-01 2.938376e-01
#> [256] 3.061756e-01 3.158347e-01 3.663371e-01 3.781087e-01 3.839225e-01
#> [261] 3.988279e-01 4.020288e-01 4.176193e-01 4.653272e-01 4.776652e-01
#> [266] 4.948921e-01 4.179980e-01 4.352249e-01 3.114035e-01 3.354122e-01
#> [271] 3.409209e-01 3.441219e-01 3.466038e-01 3.488972e-01 3.606689e-01
#> [276] 3.847729e-01 3.399963e-01 3.472999e-01 3.531137e-01 3.680190e-01
#> [281] 3.680190e-01 3.756110e-01 3.990986e-01 4.080820e-01 4.135907e-01
#> [286] 4.151847e-01 4.176666e-01 3.886512e-01 3.886512e-01 3.905312e-01
#> [291] 2.549111e-01 3.149720e-01 3.222756e-01 3.316872e-01 3.434589e-01
#> [296] 3.674676e-01 3.685365e-01 3.701305e-01 3.850358e-01 3.973738e-01
#> [301] 3.808266e-01 3.931646e-01 3.931646e-01 3.931646e-01 3.358220e-01
#> [306] 3.405161e-01 3.405161e-01 3.577430e-01 3.577430e-01 3.577430e-01
#> [311] 3.577430e-01 3.577430e-01 3.577430e-01 3.129664e-01 3.136405e-01
#> [316] 3.164622e-01 3.192839e-01 3.289431e-01 3.289431e-01 2.142250e-01
#> [321] 6.211554e-02 6.378175e-02 6.378175e-02 6.378175e-02 7.344093e-02
#> [326] 8.103285e-02 8.103285e-02 8.179584e-02 4.937215e-02 5.406632e-02
#> [331] 5.688803e-02 5.688803e-02 5.889593e-02 5.889593e-02 5.889593e-02
#> [336] 5.889593e-02 6.171764e-02 6.641182e-02 -1.553879e-01 -1.553879e-01
#> [341] -1.514248e-01 -1.501010e-01 -1.259969e-01 -1.550123e-01 -1.518113e-01
#> [346] -1.277073e-01 -1.230131e-01 -1.520285e-01 -1.396905e-01 -2.165845e-01
#> [351] -1.993576e-01 -1.752536e-01 -1.634819e-01 -1.706800e-01 -1.872272e-01
#> [356] -1.799236e-01 -1.752294e-01 -1.709568e-01 -1.681351e-01 -1.557971e-01
#> [361] -1.510267e-01 -1.494328e-01 -1.376611e-01 -1.026428e-01 -1.013190e-01
#> [366] -8.954734e-02 -8.558424e-02 -8.399029e-02 -5.998158e-02 -4.764360e-02
#> [371] -3.798441e-02 -1.397571e-02 -8.466995e-03 -1.648825e-03 2.623795e-03
#> [376] 2.890744e-02 3.831908e-02 4.996159e-02 8.510352e-02 5.267983e-02
#> [381] 1.472999e-01 1.472999e-01 1.500611e-01 1.500611e-01 1.548314e-01
#> [386] 1.918415e-01 2.247011e-01 2.575607e-01 2.669723e-01 2.786148e-01
#> [391] 2.833852e-01 2.930444e-01 2.269772e-01 2.504649e-01 2.594483e-01
#> [396] 2.798915e-01 2.826527e-01 2.845327e-01 2.864127e-01 3.013181e-01
#> [401] 3.031981e-01 3.036153e-01 3.541176e-01 3.737504e-01 3.855220e-01
#> [406] 4.011125e-01 4.107717e-01 4.256771e-01 4.412676e-01 4.431196e-01
#> [411] 4.265724e-01 4.284244e-01 4.380836e-01 4.474953e-01 4.521894e-01
#> [416] 4.677799e-01 4.512327e-01 3.938901e-01 3.614664e-01 3.708781e-01
#> [421] 3.714072e-01 3.726655e-01 3.794837e-01 4.271916e-01 4.368507e-01
#> [426] 4.517561e-01 3.370380e-01 3.740480e-01 3.740480e-01 3.830315e-01
#> [431] 3.830315e-01 4.071355e-01 4.227260e-01 4.317094e-01 4.327931e-01
#> [436] 4.342362e-01 4.436478e-01 4.504660e-01 4.676929e-01 4.695729e-01
#> [441] 4.763911e-01 5.469623e-01 5.674055e-01 5.742237e-01 5.891291e-01
#> [446] 6.014671e-01 6.062374e-01 6.159079e-01 6.299094e-01 6.346798e-01
#> [451] 6.386429e-01 6.434132e-01 6.434132e-01 7.984985e-01 7.757438e-01
#> [456] 7.897454e-01 7.897454e-01 7.945157e-01 8.027200e-01 8.095382e-01
#> [461] 8.168418e-01 8.056179e-01 8.426279e-01 6.905184e-01 3.750269e-01
#> [466] 3.873649e-01 3.946685e-01 4.040801e-01 4.280888e-01 4.453157e-01
#> [471] 4.657589e-01 4.751706e-01 4.900759e-01 5.105192e-01 5.178228e-01
#> [476] 5.441064e-01 5.448312e-01 5.452483e-01 5.452483e-01 5.601537e-01
#> [481] 5.719253e-01 5.868307e-01 5.796326e-01 5.968595e-01 6.062711e-01
#> [486] 6.179136e-01 6.197937e-01 6.202108e-01 6.270290e-01 6.270290e-01
#> [491] 6.388007e-01 6.629047e-01 6.650875e-01 6.716161e-01 6.718561e-01
#> [496] 6.727997e-01 6.750932e-01 6.757173e-01 6.757173e-01 6.880553e-01
#> [501] 6.927495e-01 6.927538e-01 6.927538e-01 6.927538e-01 5.582870e-01
#> [506] 5.610482e-01 5.610482e-01 5.980582e-01 6.033715e-01 6.073346e-01
#> [511] 5.783192e-01 6.023280e-01 6.045108e-01 6.046906e-01 6.287947e-01
#> [516] 6.293379e-01 6.348466e-01 6.416647e-01 6.534364e-01 6.607400e-01
#> [521] 5.923595e-01 6.128028e-01 6.300297e-01 6.423677e-01 6.572730e-01
#> [526] 6.620434e-01 6.652997e-01 6.674825e-01 6.693626e-01 6.706209e-01
#> [531] 7.076310e-01 7.099244e-01 7.100155e-01 7.103675e-01 7.146401e-01
#> [536] 7.305253e-01 7.381172e-01 7.477876e-01 6.904450e-01 6.937014e-01
#> [541] 7.092919e-01 7.187035e-01 7.449872e-01 6.987656e-01 7.192088e-01
#> [546] 7.286205e-01 7.288958e-01 7.447809e-01 7.541926e-01 7.804762e-01
#> [551] 7.837326e-01 7.875129e-01 7.951048e-01 6.616913e-01 3.519970e-01
#> [556] 3.760057e-01 3.788274e-01 3.904699e-01 3.917283e-01 3.925594e-01
#> [561] 3.957604e-01 4.025785e-01 4.073489e-01 4.087919e-01 4.091439e-01
#> [566] 2.704552e-01 2.827932e-01 2.852751e-01 3.092838e-01 3.174881e-01
#> [571] 3.212684e-01 3.240295e-01 3.256678e-01 3.311766e-01 3.470617e-01
#> [576] 3.476049e-01 3.497877e-01 3.556015e-01 3.556144e-01 3.556144e-01
#> [581] 3.556144e-01 3.728413e-01 3.746933e-01 3.805071e-01 3.818309e-01
#> [586] 3.837109e-01 3.546956e-01 3.586587e-01 3.634290e-01 3.643727e-01
#> [591] 3.709012e-01 3.864917e-01 3.887852e-01 4.027867e-01 4.049695e-01
#> [596] 4.058006e-01 4.230275e-01 4.346701e-01 4.464417e-01 4.464417e-01
#> [601] 4.540336e-01 4.559137e-01 4.821973e-01 4.838356e-01 4.857157e-01
#> [606] 4.864759e-01 4.877342e-01 4.882127e-01 2.147222e-01 2.205360e-01
#> [611] 2.287402e-01 2.343650e-01 2.515919e-01 2.844515e-01 2.866344e-01
#> [616] 2.922591e-01 3.185428e-01 3.253610e-01 3.318895e-01 3.321940e-01
#> [621] 3.332565e-01 3.422400e-01 3.132246e-01 3.205282e-01 3.364134e-01
#> [626] 3.605174e-01 3.315020e-01 3.336849e-01 1.560194e-01 1.576577e-01
#> [631] 1.580097e-01 1.605128e-01 1.621511e-01 1.703554e-01 1.759802e-01
#> [636] 1.816049e-01 1.853853e-01 1.878883e-01 1.895266e-01 2.223863e-01
#> [641] 2.317979e-01 2.371112e-01 2.380299e-01 2.536204e-01 2.604386e-01
#> [646] 2.760291e-01 2.799922e-01 2.830989e-01 2.827561e-01 2.833678e-01
#> [651] 2.834427e-01 2.907463e-01 2.916900e-01 3.287000e-01 3.296436e-01
#> [656] 3.298462e-01 3.331025e-01 3.343608e-01 3.672204e-01 3.828109e-01
#> [661] 3.846910e-01 3.502204e-01 3.661055e-01 3.729237e-01 3.885142e-01
#> [666] 3.941390e-01 3.999528e-01 3.999528e-01 4.117244e-01 4.175382e-01
#> [671] 4.251301e-01 4.407206e-01 4.483126e-01 4.579717e-01 4.655637e-01
#> [676] 4.752228e-01 1.597313e-01 1.715029e-01 1.715155e-01 -8.630529e-02
#> [681] -7.071479e-02 -5.580944e-02 -4.999565e-02 -4.999565e-02 -4.033647e-02
#> [686] -3.907813e-02 -3.907813e-02 -1.559050e-02 -1.559050e-02 -1.559050e-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"
#>
# }