Takes a fitted `aplms` object and outputs some diagnostic information about the fitting procedure and results. Returns the conformal normal curvature of the fitted `aplms` model object. The `case-weight`, `dispersion`, `response`, `explanatory`, and `corAR` perturbations are available.
Arguments
- model
an object with the result of fitting additive partial linear models with symmetric errors.
- perturbation
A string vector specifying a perturbation scheme: `case-weight`, `dispersion`, `response`, `explanatory`, and `corAR`.
- part
A logical value to indicate whether the influential analysis is performed for \(\gamma\), \(\phi\) and \(\rho\).
- ...
other arguments.
Examples
data(temperature)
temperature.df = data.frame(temperature,time=1:length(temperature))
model<-aplms::aplms(temperature ~ 1,
npc=c("time"), basis=c("cr"),Knot=c(60),
data=temperature.df,family=Powerexp(k=0.3),p=1,
control = list(tol = 0.001,
algorithm1 = c("P-GAM"),
algorithm2 = c("BFGS"),
Maxiter1 = 20,
Maxiter2 = 25),
lam=c(10))
influence(model, perturbation = c("case-weight"))
#> $`case-weight`
#> $`case-weight`$C_i
#> [1] 1.226926e-03 8.304278e-04 2.260923e-04 2.305555e-04 2.501751e-04
#> [6] -7.657181e-05 -3.389592e-03 -7.034536e-02 -6.297093e-03 -5.424112e-03
#> [11] 8.245579e-03 2.959907e-04 7.156546e-04 2.270109e-04 9.589497e-04
#> [16] 6.794920e-04 1.043649e-02 1.291007e-02 2.655570e-02 6.017279e-03
#> [21] 1.955335e-02 5.886449e-03 3.924388e-03 1.121327e-03 6.434732e-03
#> [26] 1.537558e-02 1.848741e-02 2.009293e-02 2.033712e-03 1.403120e-04
#> [31] -5.512786e-03 -1.279461e-03 -8.509161e-04 2.758523e-02 8.788163e-03
#> [36] 2.068985e-02 3.548507e-03 2.049049e-02 1.254777e-02 1.147404e-02
#> [41] -2.608922e-03 -5.655587e-04 2.652329e-04 6.024637e-04 5.218981e-04
#> [46] 5.000447e-03 9.772424e-04 1.579816e-04 -9.751192e-04 3.444090e-03
#> [51] 5.816112e-04 2.326396e-02 1.410398e-02 1.602392e-01 1.756181e-02
#> [56] 2.660688e-04 7.792045e-04 9.011164e-04 2.294985e-04 -1.097111e-03
#> [61] 8.066059e-05 4.947847e-03 5.206535e-03 9.516606e-03 7.042960e-02
#> [66] 2.093759e-02 4.618712e-02 2.686441e-04 2.703529e-03 1.267659e-02
#> [71] 8.056024e-03 2.835433e-03 2.327046e-04 2.280843e-04 2.315198e-04
#> [76] 1.419334e-03 3.215766e-02 1.726446e-02 5.902078e-03 2.255139e-04
#> [81] 2.383699e-03 8.174330e-04 2.803362e-03 2.821160e-02 2.327866e-02
#> [86] 4.475576e-03 1.256767e-02 9.176129e-03 7.425355e-04 -4.295133e-04
#> [91] 1.623056e-03 6.729465e-03 1.633066e-03 2.466968e-02 5.427462e-03
#> [96] -8.144873e-05 -6.514898e-04 1.008992e-02 1.589570e-03 -1.589621e-03
#> [101] -2.528776e-03 -2.293461e-02 -3.604211e-02 -1.135982e-02 -1.019650e-03
#> [106] 1.299814e-05 6.337268e-04 9.868367e-03 1.015632e-02 2.209732e-02
#> [111] 1.579022e-05 1.839202e-03 2.797064e-03 3.567358e-02 5.568631e-02
#> [116] 5.423101e-01 1.811323e-01 1.053512e-02 6.926459e-02 2.790302e-04
#> [121] 8.995144e-03 2.286481e-04 4.277868e-03 2.123424e-04 3.259386e-02
#> [126] 6.833082e-03 -1.508713e-03 3.129319e-04 1.097785e-02 5.831978e-04
#> [131] 3.215432e-03 2.295287e-04 2.209559e-04 5.811474e-04 1.582385e-03
#> [136] 4.539629e-03 2.409805e-02 7.481174e-03 4.958165e-02 1.490707e-02
#> [141] 4.935145e-02 1.489707e-02
#>
#> $`case-weight`$C_i_gamma
#> [1] 1.378494e-03 9.393863e-04 4.182878e-04 4.213201e-04 4.361391e-04
#> [6] 9.741749e-05 -3.220495e-03 -6.987489e-02 -6.156582e-03 -4.922256e-03
#> [11] 8.811507e-03 4.839220e-04 7.832298e-04 4.192159e-04 1.088362e-03
#> [16] 8.484560e-04 1.042750e-02 1.294300e-02 2.715519e-02 6.044032e-03
#> [21] 1.972636e-02 5.920749e-03 4.005223e-03 1.268496e-03 6.453994e-03
#> [26] 1.544011e-02 1.842712e-02 2.012372e-02 2.023970e-03 3.277470e-04
#> [31] -5.490966e-03 -1.106554e-03 -7.690053e-04 2.795812e-02 8.775842e-03
#> [36] 2.173706e-02 3.635901e-03 2.119468e-02 1.255299e-02 1.149628e-02
#> [41] -2.585557e-03 -3.843297e-04 4.494610e-04 6.481397e-04 6.949996e-04
#> [46] 4.989358e-03 1.015336e-03 3.442322e-04 -9.283175e-04 4.626281e-03
#> [51] 7.558049e-04 2.326437e-02 1.422389e-02 1.605004e-01 1.752655e-02
#> [56] 4.546801e-04 9.373307e-04 9.288351e-04 4.205001e-04 -9.863403e-04
#> [61] 2.641141e-04 5.035323e-03 5.270616e-03 9.503705e-03 7.030369e-02
#> [66] 2.102632e-02 4.644590e-02 4.578638e-04 2.790116e-03 1.265012e-02
#> [71] 8.065468e-03 2.822685e-03 4.241773e-04 1.328093e-03 4.126991e-04
#> [76] 1.472262e-03 3.282104e-02 1.717667e-02 5.887181e-03 4.178959e-04
#> [81] 2.587191e-03 9.829185e-04 2.890587e-03 2.855560e-02 2.330139e-02
#> [86] 4.525558e-03 1.260463e-02 9.245420e-03 9.359626e-04 -2.551057e-04
#> [91] 1.618179e-03 6.732204e-03 1.765326e-03 2.537730e-02 5.357001e-03
#> [96] 9.889179e-05 -6.514895e-04 1.152376e-02 1.722432e-03 -1.555166e-03
#> [101] -2.353864e-03 -2.288631e-02 -3.500276e-02 -1.134886e-02 -8.447224e-04
#> [106] 1.406398e-04 8.054657e-04 9.907401e-03 1.024721e-02 2.420061e-02
#> [111] 1.884004e-04 1.996747e-03 2.892544e-03 3.566294e-02 5.573585e-02
#> [116] 5.413206e-01 1.810105e-01 1.049655e-02 7.183581e-02 4.676485e-04
#> [121] 8.980774e-03 4.208401e-04 4.328838e-03 4.027445e-04 3.269973e-02
#> [126] 6.893497e-03 -1.340510e-03 4.408862e-04 1.137453e-02 7.523405e-04
#> [131] 3.458504e-03 4.217031e-04 4.039216e-04 7.459662e-04 1.712541e-03
#> [136] 4.607811e-03 2.411849e-02 7.493667e-03 5.036013e-02 1.497415e-02
#> [141] 4.988341e-02 1.485532e-02
#>
#> $`case-weight`$C_i_phi
#> [1] 1.205799e-03 8.064116e-04 1.198598e-04 1.245342e-04 1.581034e-04
#> [6] -2.693123e-04 -3.966396e-03 -7.773107e-02 -7.199491e-03 -5.733637e-03
#> [11] 8.184423e-03 1.856508e-04 7.075422e-04 1.199891e-04 9.149848e-04
#> [16] 5.885616e-04 1.102974e-02 1.362409e-02 2.784754e-02 6.241583e-03
#> [21] 2.035750e-02 6.202459e-03 4.064427e-03 1.066209e-03 6.752352e-03
#> [26] 1.607980e-02 1.947789e-02 2.122721e-02 2.108501e-03 2.856740e-05
#> [31] -5.831385e-03 -1.506002e-03 -9.464769e-04 2.910176e-02 9.280028e-03
#> [36] 2.085311e-02 3.673837e-03 2.148634e-02 1.325220e-02 1.212590e-02
#> [41] -2.775455e-03 -7.303556e-04 1.692116e-04 6.318080e-04 4.230085e-04
#> [46] 5.281815e-03 9.715605e-04 4.190531e-05 -1.053202e-03 2.901366e-03
#> [51] 4.768793e-04 2.413473e-02 1.489922e-02 1.688263e-01 1.846458e-02
#> [56] 1.627018e-04 7.680789e-04 8.891754e-04 1.203425e-04 -1.211332e-03
#> [61] -2.661171e-05 5.200224e-03 5.456206e-03 9.922813e-03 7.374186e-02
#> [66] 2.212328e-02 4.880906e-02 1.595114e-04 2.786372e-03 1.338710e-02
#> [71] 8.436419e-03 2.963330e-03 1.251651e-04 -2.699328e-04 1.127013e-04
#> [76] 1.447569e-03 3.383192e-02 1.818836e-02 6.180641e-03 1.193507e-04
#> [81] 2.403497e-03 7.299703e-04 2.927737e-03 2.954015e-02 2.453690e-02
#> [86] 4.579990e-03 1.328025e-02 9.688570e-03 6.619177e-04 -5.790852e-04
#> [91] 1.712135e-03 7.076035e-03 1.605403e-03 2.557830e-02 5.731384e-03
#> [96] -2.089787e-04 -6.885892e-04 9.524723e-03 1.585866e-03 -1.680715e-03
#> [101] -2.904950e-03 -2.454269e-02 -4.031290e-02 -1.220577e-02 -1.302484e-03
#> [106] 3.700808e-06 5.396702e-04 1.034023e-02 1.066691e-02 2.332908e-02
#> [111] -7.894609e-05 1.928380e-03 2.856616e-03 3.464382e-02 5.601406e-02
#> [116] 5.346707e-01 1.822394e-01 1.109548e-02 7.275046e-02 1.700784e-04
#> [121] 9.134188e-03 1.212459e-04 4.124540e-03 1.068180e-04 3.365546e-02
#> [126] 7.117558e-03 -1.808872e-03 -4.840431e-04 9.184648e-03 4.968875e-04
#> [131] 2.914639e-03 1.219507e-04 1.424145e-04 4.900670e-04 1.484537e-03
#> [136] 4.784990e-03 2.544822e-02 7.876806e-03 5.236161e-02 1.574769e-02
#> [141] 5.069000e-02 1.572778e-02
#>
#> $`case-weight`$C_i_rhos
#> [1] 1.227972e-03 8.299448e-04 2.262552e-04 2.302467e-04 2.470657e-04
#> [6] -8.622622e-05 -3.410820e-03 -7.073451e-02 -6.549783e-03 -6.190955e-03
#> [11] 8.000647e-03 2.670761e-04 7.161306e-04 2.263208e-04 9.563410e-04
#> [16] 6.786456e-04 1.038581e-02 1.289368e-02 2.644068e-02 5.811095e-03
#> [21] 1.955565e-02 5.845121e-03 3.926220e-03 1.112884e-03 6.438525e-03
#> [26] 1.536541e-02 1.833589e-02 2.009318e-02 1.827149e-03 1.402063e-04
#> [31] -5.613085e-03 -1.360333e-03 -8.850329e-04 2.754107e-02 8.530641e-03
#> [36] 2.063319e-02 3.394136e-03 2.044730e-02 1.252252e-02 1.148412e-02
#> [41] -2.788063e-03 -5.983397e-04 2.653769e-04 5.400325e-04 5.118012e-04
#> [46] 4.950086e-03 8.949458e-04 1.465351e-04 -1.075431e-03 3.295691e-03
#> [51] 4.873223e-04 2.255222e-02 1.406495e-02 1.599161e-01 1.738211e-02
#> [56] 2.621600e-04 7.623897e-04 7.634838e-04 2.257109e-04 -1.202869e-03
#> [61] 5.669031e-05 4.951985e-03 5.112108e-03 9.438837e-03 6.929644e-02
#> [66] 2.073719e-02 4.470666e-02 2.523690e-04 2.698509e-03 1.264956e-02
#> [71] 8.043670e-03 2.691384e-03 2.304049e-04 8.538849e-05 1.641673e-04
#> [76] 1.391682e-03 3.209760e-02 1.676833e-02 5.818753e-03 2.256631e-04
#> [81] 2.385733e-03 7.606165e-04 2.763602e-03 2.818777e-02 2.315994e-02
#> [86] 4.347196e-03 1.254222e-02 9.140003e-03 3.545217e-04 -5.050353e-04
#> [91] 1.568910e-03 6.735355e-03 1.613546e-03 2.466781e-02 5.405436e-03
#> [96] -1.244608e-04 -7.233793e-04 9.994312e-03 1.396482e-03 -1.628736e-03
#> [101] -2.536411e-03 -2.305261e-02 -3.745594e-02 -1.141642e-02 -1.114462e-03
#> [106] 6.523421e-06 6.304175e-04 9.847707e-03 1.014030e-02 2.124927e-02
#> [111] -1.099445e-04 1.771457e-03 2.758961e-03 3.570400e-02 5.573526e-02
#> [116] 5.427706e-01 1.812690e-01 1.042614e-02 6.907333e-02 2.482667e-04
#> [121] 8.938610e-03 2.272893e-04 4.198079e-03 2.093119e-04 3.118089e-02
#> [126] 6.528994e-03 -1.609699e-03 3.126569e-04 1.090304e-02 5.377793e-04
#> [131] 3.172136e-03 2.276785e-04 2.205892e-04 5.783880e-04 1.544818e-03
#> [136] 4.536310e-03 2.393255e-02 7.322214e-03 4.953218e-02 1.480408e-02
#> [141] 4.935654e-02 1.448202e-02
#>
#>