# S3 method for saem.mmkin
-summary(object, data = FALSE, verbose = FALSE, distimes = TRUE, ...)
+summary(object, data = FALSE, verbose = FALSE, distimes = TRUE, ...)
# S3 method for summary.saem.mmkin
print(x, digits = max(3, getOption("digits") - 3), verbose = x$verbose, ...)
@@ -266,36 +266,38 @@ saemix authors for the parts inherited from saemix.
#> SD.g_qlogis 0.37478 0.04490 0.70467
illparms(f_saem_dfop_sfo)
#> [1] "sd(parent_0)" "sd(log_k_m1)"
-
f_saem_dfop_sfo_2 <- update(f_saem_dfop_sfo, covariance.model = diag(c(0, 0, 1, 1, 1, 0)))
+
f_saem_dfop_sfo_2 <- update(f_saem_dfop_sfo,
+
no_random_effect = c("parent_0", "log_k_m1"))
illparms(f_saem_dfop_sfo_2)
intervals(f_saem_dfop_sfo_2)
#> Approximate 95% confidence intervals
#>
#> Fixed effects:
#> lower est. upper
-
#> parent_0 97.57609542 100.73343868 103.89078195
-
#> k_m1 0.01549292 0.01714893 0.01898194
-
#> f_parent_to_m1 0.20720315 0.28358738 0.37481744
-
#> k1 0.06149334 0.08733164 0.12402670
-
#> k2 0.01448390 0.01699942 0.01995184
-
#> g 0.45084762 0.51075839 0.57036168
+
#> parent_0 98.36731429 101.42508066 104.48284703
+
#> k_m1 0.01513234 0.01670094 0.01843214
+
#> f_parent_to_m1 0.20221431 0.27608850 0.36461630
+
#> k1 0.06915073 0.09759718 0.13774560
+
#> k2 0.01487068 0.01740389 0.02036863
+
#> g 0.37365671 0.48384821 0.59563299
#>
#> Random effects:
#> lower est. upper
-
#> sd(f_parent_qlogis) 0.16606767 0.4479731 0.7298784
-
#> sd(log_k1) 0.12284609 0.3588446 0.5948430
-
#> sd(log_k2) 0.05379723 0.1548780 0.2559588
+
#> sd(f_parent_qlogis) 0.16439770 0.4427585 0.7211193
+
#> sd(log_k1) 0.08304243 0.3345213 0.5860002
+
#> sd(log_k2) 0.03146410 0.1490210 0.2665779
+
#> sd(g_qlogis) 0.06216385 0.4023430 0.7425221
#>
#>
-
#> lower est. upper
-
#> a.1 0.6811490 0.88503409 1.08891921
-
#> b.1 0.0676515 0.08336272 0.09907394
-
summary(f_saem_dfop_sfo_2, data = TRUE)
+
#> lower est. upper
+
#> a.1 0.67696663 0.87777355 1.07858048
+
#> b.1 0.06363957 0.07878001 0.09392044
+
summary(f_saem_dfop_sfo_2, data = TRUE)
#> saemix version used for fitting: 3.2
#> mkin version used for pre-fitting: 1.2.2
#> R version used for fitting: 4.2.2
-
#> Date of fit: Thu Nov 24 08:11:52 2022
-
#> Date of summary: Thu Nov 24 08:11:52 2022
+
#> Date of fit: Thu Dec 15 14:47:14 2022
+
#> Date of summary: Thu Dec 15 14:47:14 2022
#>
#> Equations:
#> d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *
@@ -310,12 +312,12 @@ saemix authors for the parts inherited from saemix.
#>
#> Model predictions using solution type analytical
#>
-
#> Fitted in 26.242 s
+
#> Fitted in 9.623 s
#> Using 300, 100 iterations and 10 chains
#>
#> Variance model: Two-component variance function
#>
-
#> Mean of starting values for individual parameters:
+
#> Starting values for degradation parameters:
#> parent_0 log_k_m1 f_parent_qlogis log_k1 log_k2
#> 101.65645 -4.05368 -0.94311 -2.35943 -4.07006
#> g_qlogis
@@ -324,237 +326,291 @@ saemix authors for the parts inherited from saemix.
#> Fixed degradation parameter values:
#> None
#>
+
#> Starting values for random effects (square root of initial entries in omega):
+
#> parent_0 log_k_m1 f_parent_qlogis log_k1 log_k2 g_qlogis
+
#> parent_0 6.742 0.0000 0.0000 0.0000 0.0000 0.000
+
#> log_k_m1 0.000 0.2236 0.0000 0.0000 0.0000 0.000
+
#> f_parent_qlogis 0.000 0.0000 0.5572 0.0000 0.0000 0.000
+
#> log_k1 0.000 0.0000 0.0000 0.8031 0.0000 0.000
+
#> log_k2 0.000 0.0000 0.0000 0.0000 0.2931 0.000
+
#> g_qlogis 0.000 0.0000 0.0000 0.0000 0.0000 0.807
+
#>
+
#> Starting values for error model parameters:
+
#> a.1 b.1
+
#> 1 1
+
#>
#> Results:
#>
#> Likelihood computed by importance sampling
-
#> AIC BIC logLik
-
#> 809.5 805.2 -393.7
+
#> AIC BIC logLik
+
#> 807 802.3 -391.5
#>
#> Optimised parameters:
#> est. lower upper
-
#> parent_0 100.73344 97.57610 103.89078
-
#> log_k_m1 -4.06582 -4.16737 -3.96427
-
#> f_parent_qlogis -0.92674 -1.34187 -0.51160
-
#> log_k1 -2.43804 -2.78883 -2.08726
-
#> log_k2 -4.07458 -4.23472 -3.91443
-
#> g_qlogis 0.04304 -0.19725 0.28333
-
#> a.1 0.88503 0.68115 1.08892
-
#> b.1 0.08336 0.06765 0.09907
-
#> SD.f_parent_qlogis 0.44797 0.16607 0.72988
-
#> SD.log_k1 0.35884 0.12285 0.59484
-
#> SD.log_k2 0.15488 0.05380 0.25596
+
#> parent_0 101.42508 98.36731 104.48285
+
#> log_k_m1 -4.09229 -4.19092 -3.99366
+
#> f_parent_qlogis -0.96395 -1.37251 -0.55538
+
#> log_k1 -2.32691 -2.67147 -1.98235
+
#> log_k2 -4.05106 -4.20836 -3.89376
+
#> g_qlogis -0.06463 -0.51656 0.38730
+
#> a.1 0.87777 0.67697 1.07858
+
#> b.1 0.07878 0.06364 0.09392
+
#> SD.f_parent_qlogis 0.44276 0.16440 0.72112
+
#> SD.log_k1 0.33452 0.08304 0.58600
+
#> SD.log_k2 0.14902 0.03146 0.26658
+
#> SD.g_qlogis 0.40234 0.06216 0.74252
#>
#> Correlation:
#> parnt_0 lg_k_m1 f_prnt_ log_k1 log_k2
-
#> log_k_m1 -0.4698
-
#> f_parent_qlogis -0.2461 0.2709
-
#> log_k1 0.1572 -0.1517 -0.0648
-
#> log_k2 -0.0023 0.0835 0.0125 0.1420
-
#> g_qlogis 0.2314 -0.2337 -0.0755 -0.2762 -0.4797
+
#> log_k_m1 -0.4693
+
#> f_parent_qlogis -0.2378 0.2595
+
#> log_k1 0.1720 -0.1593 -0.0669
+
#> log_k2 0.0179 0.0594 0.0035 0.1995
+
#> g_qlogis 0.1073 -0.1060 -0.0322 -0.2299 -0.3168
#>
#> Random effects:
-
#> est. lower upper
-
#> SD.f_parent_qlogis 0.4480 0.1661 0.7299
-
#> SD.log_k1 0.3588 0.1228 0.5948
-
#> SD.log_k2 0.1549 0.0538 0.2560
+
#> est. lower upper
+
#> SD.f_parent_qlogis 0.4428 0.16440 0.7211
+
#> SD.log_k1 0.3345 0.08304 0.5860
+
#> SD.log_k2 0.1490 0.03146 0.2666
+
#> SD.g_qlogis 0.4023 0.06216 0.7425
#>
#> Variance model:
#> est. lower upper
-
#> a.1 0.88503 0.68115 1.08892
-
#> b.1 0.08336 0.06765 0.09907
+
#> a.1 0.87777 0.67697 1.07858
+
#> b.1 0.07878 0.06364 0.09392
#>
#> Backtransformed parameters:
-
#> est. lower upper
-
#> parent_0 100.73344 97.57610 103.89078
-
#> k_m1 0.01715 0.01549 0.01898
-
#> f_parent_to_m1 0.28359 0.20720 0.37482
-
#> k1 0.08733 0.06149 0.12403
-
#> k2 0.01700 0.01448 0.01995
-
#> g 0.51076 0.45085 0.57036
+
#> est. lower upper
+
#> parent_0 101.4251 98.36731 104.48285
+
#> k_m1 0.0167 0.01513 0.01843
+
#> f_parent_to_m1 0.2761 0.20221 0.36462
+
#> k1 0.0976 0.06915 0.13775
+
#> k2 0.0174 0.01487 0.02037
+
#> g 0.4838 0.37366 0.59563
#>
#> Resulting formation fractions:
#> ff
-
#> parent_m1 0.2836
-
#> parent_sink 0.7164
+
#> parent_m1 0.2761
+
#> parent_sink 0.7239
#>
#> Estimated disappearance times:
#> DT50 DT90 DT50back DT50_k1 DT50_k2
-
#> parent 15.94 93.48 28.14 7.937 40.77
-
#> m1 40.42 134.27 NA NA NA
+
#> parent 15.54 94.33 28.4 7.102 39.83
+
#> m1 41.50 137.87 NA NA NA
#>
#> Data:
-
#> ds name time observed predicted residual std standardized
-
#> ds 1 parent 0 89.8 1.007e+02 -10.93344 8.4439 -1.29483
-
#> ds 1 parent 0 104.1 1.007e+02 3.36656 8.4439 0.39870
-
#> ds 1 parent 1 88.7 9.591e+01 -7.20789 8.0440 -0.89606
-
#> ds 1 parent 1 95.5 9.591e+01 -0.40789 8.0440 -0.05071
-
#> ds 1 parent 3 81.8 8.712e+01 -5.31561 7.3159 -0.72658
-
#> ds 1 parent 3 94.5 8.712e+01 7.38439 7.3159 1.00936
-
#> ds 1 parent 7 71.5 7.246e+01 -0.95675 6.1047 -0.15672
-
#> ds 1 parent 7 70.3 7.246e+01 -2.15675 6.1047 -0.35329
-
#> ds 1 parent 14 54.2 5.382e+01 0.38143 4.5729 0.08341
-
#> ds 1 parent 14 49.6 5.382e+01 -4.21857 4.5729 -0.92251
-
#> ds 1 parent 28 31.5 3.230e+01 -0.80120 2.8344 -0.28267
-
#> ds 1 parent 28 28.8 3.230e+01 -3.50120 2.8344 -1.23524
-
#> ds 1 parent 60 12.1 1.307e+01 -0.97165 1.4038 -0.69215
-
#> ds 1 parent 60 13.6 1.307e+01 0.52835 1.4038 0.37637
-
#> ds 1 parent 90 6.2 6.353e+00 -0.15285 1.0314 -0.14820
-
#> ds 1 parent 90 8.3 6.353e+00 1.94715 1.0314 1.88790
-
#> ds 1 parent 120 2.2 3.175e+00 -0.97462 0.9238 -1.05506
-
#> ds 1 parent 120 2.4 3.175e+00 -0.77462 0.9238 -0.83855
-
#> ds 1 m1 1 0.3 1.183e+00 -0.88350 0.8905 -0.99212
-
#> ds 1 m1 1 0.2 1.183e+00 -0.98350 0.8905 -1.10441
-
#> ds 1 m1 3 2.2 3.281e+00 -1.08106 0.9263 -1.16703
-
#> ds 1 m1 3 3.0 3.281e+00 -0.28106 0.9263 -0.30341
-
#> ds 1 m1 7 6.5 6.564e+00 -0.06353 1.0405 -0.06106
-
#> ds 1 m1 7 5.0 6.564e+00 -1.56353 1.0405 -1.50266
-
#> ds 1 m1 14 10.2 1.015e+01 0.05147 1.2243 0.04204
-
#> ds 1 m1 14 9.5 1.015e+01 -0.64853 1.2243 -0.52970
-
#> ds 1 m1 28 12.2 1.265e+01 -0.44824 1.3766 -0.32561
-
#> ds 1 m1 28 13.4 1.265e+01 0.75176 1.3766 0.54610
-
#> ds 1 m1 60 11.8 1.078e+01 1.02355 1.2611 0.81165
-
#> ds 1 m1 60 13.2 1.078e+01 2.42355 1.2611 1.92181
-
#> ds 1 m1 90 6.6 7.698e+00 -1.09840 1.0932 -1.00474
-
#> ds 1 m1 90 9.3 7.698e+00 1.60160 1.0932 1.46502
-
#> ds 1 m1 120 3.5 5.199e+00 -1.69853 0.9854 -1.72363
-
#> ds 1 m1 120 5.4 5.199e+00 0.20147 0.9854 0.20445
-
#> ds 2 parent 0 118.0 1.007e+02 17.26656 8.4439 2.04485
-
#> ds 2 parent 0 99.8 1.007e+02 -0.93344 8.4439 -0.11055
-
#> ds 2 parent 1 90.2 9.584e+01 -5.63852 8.0382 -0.70146
-
#> ds 2 parent 1 94.6 9.584e+01 -1.23852 8.0382 -0.15408
-
#> ds 2 parent 3 96.1 8.706e+01 9.04068 7.3113 1.23654
-
#> ds 2 parent 3 78.4 8.706e+01 -8.65932 7.3113 -1.18438
-
#> ds 2 parent 7 77.9 7.286e+01 5.04438 6.1376 0.82188
-
#> ds 2 parent 7 77.7 7.286e+01 4.84438 6.1376 0.78930
-
#> ds 2 parent 14 56.0 5.567e+01 0.33336 4.7242 0.07057
-
#> ds 2 parent 14 54.7 5.567e+01 -0.96664 4.7242 -0.20462
-
#> ds 2 parent 28 36.6 3.705e+01 -0.44800 3.2127 -0.13944
-
#> ds 2 parent 28 36.8 3.705e+01 -0.24800 3.2127 -0.07719
-
#> ds 2 parent 60 22.1 2.008e+01 2.01984 1.8935 1.06672
-
#> ds 2 parent 60 24.7 2.008e+01 4.61984 1.8935 2.43984
-
#> ds 2 parent 90 12.4 1.253e+01 -0.12814 1.3689 -0.09360
-
#> ds 2 parent 90 10.8 1.253e+01 -1.72814 1.3689 -1.26238
-
#> ds 2 parent 120 6.8 7.916e+00 -1.11595 1.1040 -1.01085
-
#> ds 2 parent 120 7.9 7.916e+00 -0.01595 1.1040 -0.01445
-
#> ds 2 m1 1 1.3 1.317e+00 -0.01669 0.8918 -0.01871
-
#> ds 2 m1 3 3.7 3.613e+00 0.08699 0.9349 0.09305
-
#> ds 2 m1 3 4.7 3.613e+00 1.08699 0.9349 1.16270
-
#> ds 2 m1 7 8.1 7.092e+00 1.00781 1.0643 0.94688
-
#> ds 2 m1 7 7.9 7.092e+00 0.80781 1.0643 0.75897
-
#> ds 2 m1 14 10.1 1.066e+01 -0.56458 1.2545 -0.45006
-
#> ds 2 m1 14 10.3 1.066e+01 -0.36458 1.2545 -0.29063
-
#> ds 2 m1 28 10.7 1.281e+01 -2.11106 1.3870 -1.52201
-
#> ds 2 m1 28 12.2 1.281e+01 -0.61106 1.3870 -0.44055
-
#> ds 2 m1 60 10.7 1.078e+01 -0.08464 1.2616 -0.06709
-
#> ds 2 m1 60 12.5 1.078e+01 1.71536 1.2616 1.35970
-
#> ds 2 m1 90 9.1 8.013e+00 1.08684 1.1088 0.98016
-
#> ds 2 m1 90 7.4 8.013e+00 -0.61316 1.1088 -0.55298
-
#> ds 2 m1 120 6.1 5.749e+00 0.35063 1.0065 0.34838
-
#> ds 2 m1 120 4.5 5.749e+00 -1.24937 1.0065 -1.24133
-
#> ds 3 parent 0 106.2 1.007e+02 5.46656 8.4439 0.64740
-
#> ds 3 parent 0 106.9 1.007e+02 6.16656 8.4439 0.73030
-
#> ds 3 parent 1 107.4 9.369e+01 13.70530 7.8606 1.74354
-
#> ds 3 parent 1 96.1 9.369e+01 2.40530 7.8606 0.30599
-
#> ds 3 parent 3 79.4 8.185e+01 -2.45363 6.8807 -0.35660
-
#> ds 3 parent 3 82.6 8.185e+01 0.74637 6.8807 0.10847
-
#> ds 3 parent 7 63.9 6.487e+01 -0.97153 5.4798 -0.17729
-
#> ds 3 parent 7 62.4 6.487e+01 -2.47153 5.4798 -0.45103
-
#> ds 3 parent 14 51.0 4.791e+01 3.09024 4.0908 0.75542
-
#> ds 3 parent 14 47.1 4.791e+01 -0.80976 4.0908 -0.19795
-
#> ds 3 parent 28 36.1 3.313e+01 2.97112 2.9001 1.02450
-
#> ds 3 parent 28 36.6 3.313e+01 3.47112 2.9001 1.19691
-
#> ds 3 parent 60 20.1 1.927e+01 0.83265 1.8339 0.45404
-
#> ds 3 parent 60 19.8 1.927e+01 0.53265 1.8339 0.29045
-
#> ds 3 parent 90 11.3 1.203e+01 -0.72783 1.3374 -0.54421
-
#> ds 3 parent 90 10.7 1.203e+01 -1.32783 1.3374 -0.99284
-
#> ds 3 parent 120 8.2 7.516e+00 0.68382 1.0844 0.63061
-
#> ds 3 parent 120 7.3 7.516e+00 -0.21618 1.0844 -0.19936
-
#> ds 3 m1 0 0.8 -9.948e-14 0.80000 0.8850 0.90392
-
#> ds 3 m1 1 1.8 1.682e+00 0.11759 0.8961 0.13123
-
#> ds 3 m1 1 2.3 1.682e+00 0.61759 0.8961 0.68921
-
#> ds 3 m1 3 4.2 4.431e+00 -0.23052 0.9590 -0.24037
-
#> ds 3 m1 3 4.1 4.431e+00 -0.33052 0.9590 -0.34465
-
#> ds 3 m1 7 6.8 8.084e+00 -1.28422 1.1124 -1.15445
-
#> ds 3 m1 7 10.1 8.084e+00 2.01578 1.1124 1.81208
-
#> ds 3 m1 14 11.4 1.100e+01 0.40274 1.2743 0.31606
-
#> ds 3 m1 14 12.8 1.100e+01 1.80274 1.2743 1.41474
-
#> ds 3 m1 28 11.5 1.176e+01 -0.25977 1.3207 -0.19669
-
#> ds 3 m1 28 10.6 1.176e+01 -1.15977 1.3207 -0.87813
-
#> ds 3 m1 60 7.5 9.277e+00 -1.77696 1.1753 -1.51190
-
#> ds 3 m1 60 8.6 9.277e+00 -0.67696 1.1753 -0.57598
-
#> ds 3 m1 90 7.3 6.883e+00 0.41708 1.0548 0.39542
-
#> ds 3 m1 90 8.1 6.883e+00 1.21708 1.0548 1.15389
-
#> ds 3 m1 120 5.3 4.948e+00 0.35179 0.9764 0.36028
-
#> ds 3 m1 120 3.8 4.948e+00 -1.14821 0.9764 -1.17591
-
#> ds 4 parent 0 104.7 1.007e+02 3.96656 8.4439 0.46975
-
#> ds 4 parent 0 88.3 1.007e+02 -12.43344 8.4439 -1.47247
-
#> ds 4 parent 1 94.2 9.738e+01 -3.18358 8.1663 -0.38985
-
#> ds 4 parent 1 94.6 9.738e+01 -2.78358 8.1663 -0.34086
-
#> ds 4 parent 3 78.1 9.110e+01 -12.99595 7.6454 -1.69984
-
#> ds 4 parent 3 96.5 9.110e+01 5.40405 7.6454 0.70684
-
#> ds 4 parent 7 76.2 8.000e+01 -3.79797 6.7273 -0.56456
-
#> ds 4 parent 7 77.8 8.000e+01 -2.19797 6.7273 -0.32672
-
#> ds 4 parent 14 70.8 6.446e+01 6.34396 5.4456 1.16496
-
#> ds 4 parent 14 67.3 6.446e+01 2.84396 5.4456 0.52225
-
#> ds 4 parent 28 43.1 4.359e+01 -0.48960 3.7400 -0.13091
-
#> ds 4 parent 28 45.1 4.359e+01 1.51040 3.7400 0.40385
-
#> ds 4 parent 60 21.3 2.095e+01 0.35282 1.9577 0.18022
-
#> ds 4 parent 60 23.5 2.095e+01 2.55282 1.9577 1.30400
-
#> ds 4 parent 90 11.8 1.188e+01 -0.07874 1.3281 -0.05929
-
#> ds 4 parent 90 12.1 1.188e+01 0.22126 1.3281 0.16660
-
#> ds 4 parent 120 7.0 7.072e+00 -0.07245 1.0634 -0.06813
-
#> ds 4 parent 120 6.2 7.072e+00 -0.87245 1.0634 -0.82041
-
#> ds 4 m1 0 1.6 5.684e-14 1.60000 0.8850 1.80784
-
#> ds 4 m1 1 0.9 6.960e-01 0.20399 0.8869 0.23000
-
#> ds 4 m1 3 3.7 1.968e+00 1.73240 0.9001 1.92466
-
#> ds 4 m1 3 2.0 1.968e+00 0.03240 0.9001 0.03599
-
#> ds 4 m1 7 3.6 4.083e+00 -0.48287 0.9482 -0.50924
-
#> ds 4 m1 7 3.8 4.083e+00 -0.28287 0.9482 -0.29832
-
#> ds 4 m1 14 7.1 6.682e+00 0.41836 1.0457 0.40007
-
#> ds 4 m1 14 6.6 6.682e+00 -0.08164 1.0457 -0.07807
-
#> ds 4 m1 28 9.5 9.103e+00 0.39733 1.1658 0.34082
-
#> ds 4 m1 28 9.3 9.103e+00 0.19733 1.1658 0.16926
-
#> ds 4 m1 60 8.3 8.750e+00 -0.44979 1.1469 -0.39218
-
#> ds 4 m1 60 9.0 8.750e+00 0.25021 1.1469 0.21817
-
#> ds 4 m1 90 6.6 6.673e+00 -0.07285 1.0453 -0.06969
-
#> ds 4 m1 90 7.7 6.673e+00 1.02715 1.0453 0.98261
-
#> ds 4 m1 120 3.7 4.757e+00 -1.05747 0.9698 -1.09036
-
#> ds 4 m1 120 3.5 4.757e+00 -1.25747 0.9698 -1.29658
-
#> ds 5 parent 0 110.4 1.007e+02 9.66656 8.4439 1.14480
-
#> ds 5 parent 0 112.1 1.007e+02 11.36656 8.4439 1.34612
-
#> ds 5 parent 1 93.5 9.395e+01 -0.45394 7.8821 -0.05759
-
#> ds 5 parent 1 91.0 9.395e+01 -2.95394 7.8821 -0.37477
-
#> ds 5 parent 3 71.0 8.245e+01 -11.44783 6.9298 -1.65197
-
#> ds 5 parent 3 89.7 8.245e+01 7.25217 6.9298 1.04652
-
#> ds 5 parent 7 60.4 6.567e+01 -5.27002 5.5455 -0.95032
-
#> ds 5 parent 7 59.1 6.567e+01 -6.57002 5.5455 -1.18475
-
#> ds 5 parent 14 56.5 4.847e+01 8.03029 4.1364 1.94139
-
#> ds 5 parent 14 47.0 4.847e+01 -1.46971 4.1364 -0.35532
-
#> ds 5 parent 28 30.2 3.309e+01 -2.89206 2.8971 -0.99825
-
#> ds 5 parent 28 23.9 3.309e+01 -9.19206 2.8971 -3.17281
-
#> ds 5 parent 60 17.0 1.891e+01 -1.90623 1.8076 -1.05458
-
#> ds 5 parent 60 18.7 1.891e+01 -0.20623 1.8076 -0.11409
-
#> ds 5 parent 90 11.3 1.168e+01 -0.38263 1.3160 -0.29076
-
#> ds 5 parent 90 11.9 1.168e+01 0.21737 1.3160 0.16518
-
#> ds 5 parent 120 9.0 7.230e+00 1.77031 1.0708 1.65333
-
#> ds 5 parent 120 8.1 7.230e+00 0.87031 1.0708 0.81280
-
#> ds 5 m1 0 0.7 -5.116e-13 0.70000 0.8850 0.79093
-
#> ds 5 m1 1 3.0 3.244e+00 -0.24430 0.9254 -0.26398
-
#> ds 5 m1 1 2.6 3.244e+00 -0.64430 0.9254 -0.69621
-
#> ds 5 m1 3 5.1 8.592e+00 -3.49175 1.1385 -3.06686
-
#> ds 5 m1 3 7.5 8.592e+00 -1.09175 1.1385 -0.95890
-
#> ds 5 m1 7 16.5 1.583e+01 0.66887 1.5890 0.42093
-
#> ds 5 m1 7 19.0 1.583e+01 3.16887 1.5890 1.99424
-
#> ds 5 m1 14 22.9 2.181e+01 1.08658 2.0224 0.53728
-
#> ds 5 m1 14 23.2 2.181e+01 1.38658 2.0224 0.68562
-
#> ds 5 m1 28 22.2 2.364e+01 -1.43659 2.1600 -0.66508
-
#> ds 5 m1 28 24.4 2.364e+01 0.76341 2.1600 0.35342
-
#> ds 5 m1 60 15.5 1.873e+01 -3.23377 1.7950 -1.80150
-
#> ds 5 m1 60 19.8 1.873e+01 1.06623 1.7950 0.59398
-
#> ds 5 m1 90 14.9 1.387e+01 1.03117 1.4560 0.70822
-
#> ds 5 m1 90 14.2 1.387e+01 0.33117 1.4560 0.22745
-
#> ds 5 m1 120 10.9 9.937e+00 0.96270 1.2122 0.79415
-
#> ds 5 m1 120 10.4 9.937e+00 0.46270 1.2122 0.38169
+
#> ds name time observed predicted residual std standardized
+
#> ds 1 parent 0 89.8 1.014e+02 -11.62508 8.0383 -1.44620
+
#> ds 1 parent 0 104.1 1.014e+02 2.67492 8.0383 0.33277
+
#> ds 1 parent 1 88.7 9.650e+01 -7.80311 7.6530 -1.01961
+
#> ds 1 parent 1 95.5 9.650e+01 -1.00311 7.6530 -0.13107
+
#> ds 1 parent 3 81.8 8.753e+01 -5.72638 6.9510 -0.82382
+
#> ds 1 parent 3 94.5 8.753e+01 6.97362 6.9510 1.00326
+
#> ds 1 parent 7 71.5 7.254e+01 -1.04133 5.7818 -0.18010
+
#> ds 1 parent 7 70.3 7.254e+01 -2.24133 5.7818 -0.38765
+
#> ds 1 parent 14 54.2 5.349e+01 0.71029 4.3044 0.16502
+
#> ds 1 parent 14 49.6 5.349e+01 -3.88971 4.3044 -0.90366
+
#> ds 1 parent 28 31.5 3.167e+01 -0.16616 2.6446 -0.06283
+
#> ds 1 parent 28 28.8 3.167e+01 -2.86616 2.6446 -1.08379
+
#> ds 1 parent 60 12.1 1.279e+01 -0.69287 1.3365 -0.51843
+
#> ds 1 parent 60 13.6 1.279e+01 0.80713 1.3365 0.60392
+
#> ds 1 parent 90 6.2 6.397e+00 -0.19718 1.0122 -0.19481
+
#> ds 1 parent 90 8.3 6.397e+00 1.90282 1.0122 1.87996
+
#> ds 1 parent 120 2.2 3.323e+00 -1.12320 0.9160 -1.22623
+
#> ds 1 parent 120 2.4 3.323e+00 -0.92320 0.9160 -1.00788
+
#> ds 1 m1 1 0.3 1.179e+00 -0.87919 0.8827 -0.99605
+
#> ds 1 m1 1 0.2 1.179e+00 -0.97919 0.8827 -1.10935
+
#> ds 1 m1 3 2.2 3.273e+00 -1.07272 0.9149 -1.17256
+
#> ds 1 m1 3 3.0 3.273e+00 -0.27272 0.9149 -0.29811
+
#> ds 1 m1 7 6.5 6.559e+00 -0.05872 1.0186 -0.05765
+
#> ds 1 m1 7 5.0 6.559e+00 -1.55872 1.0186 -1.53032
+
#> ds 1 m1 14 10.2 1.016e+01 0.03787 1.1880 0.03188
+
#> ds 1 m1 14 9.5 1.016e+01 -0.66213 1.1880 -0.55734
+
#> ds 1 m1 28 12.2 1.268e+01 -0.47913 1.3297 -0.36032
+
#> ds 1 m1 28 13.4 1.268e+01 0.72087 1.3297 0.54211
+
#> ds 1 m1 60 11.8 1.078e+01 1.02493 1.2211 0.83936
+
#> ds 1 m1 60 13.2 1.078e+01 2.42493 1.2211 1.98588
+
#> ds 1 m1 90 6.6 7.705e+00 -1.10464 1.0672 -1.03509
+
#> ds 1 m1 90 9.3 7.705e+00 1.59536 1.0672 1.49491
+
#> ds 1 m1 120 3.5 5.236e+00 -1.73617 0.9699 -1.79010
+
#> ds 1 m1 120 5.4 5.236e+00 0.16383 0.9699 0.16892
+
#> ds 2 parent 0 118.0 1.014e+02 16.57492 8.0383 2.06198
+
#> ds 2 parent 0 99.8 1.014e+02 -1.62508 8.0383 -0.20217
+
#> ds 2 parent 1 90.2 9.599e+01 -5.79045 7.6129 -0.76061
+
#> ds 2 parent 1 94.6 9.599e+01 -1.39045 7.6129 -0.18264
+
#> ds 2 parent 3 96.1 8.652e+01 9.57931 6.8724 1.39388
+
#> ds 2 parent 3 78.4 8.652e+01 -8.12069 6.8724 -1.18164
+
#> ds 2 parent 7 77.9 7.197e+01 5.93429 5.7370 1.03439
+
#> ds 2 parent 7 77.7 7.197e+01 5.73429 5.7370 0.99953
+
#> ds 2 parent 14 56.0 5.555e+01 0.44657 4.4637 0.10005
+
#> ds 2 parent 14 54.7 5.555e+01 -0.85343 4.4637 -0.19120
+
#> ds 2 parent 28 36.6 3.853e+01 -1.93170 3.1599 -0.61132
+
#> ds 2 parent 28 36.8 3.853e+01 -1.73170 3.1599 -0.54803
+
#> ds 2 parent 60 22.1 2.110e+01 1.00360 1.8795 0.53396
+
#> ds 2 parent 60 24.7 2.110e+01 3.60360 1.8795 1.91728
+
#> ds 2 parent 90 12.4 1.250e+01 -0.09712 1.3190 -0.07363
+
#> ds 2 parent 90 10.8 1.250e+01 -1.69712 1.3190 -1.28667
+
#> ds 2 parent 120 6.8 7.419e+00 -0.61913 1.0546 -0.58709
+
#> ds 2 parent 120 7.9 7.419e+00 0.48087 1.0546 0.45599
+
#> ds 2 m1 1 1.3 1.422e+00 -0.12194 0.8849 -0.13781
+
#> ds 2 m1 3 3.7 3.831e+00 -0.13149 0.9282 -0.14166
+
#> ds 2 m1 3 4.7 3.831e+00 0.86851 0.9282 0.93567
+
#> ds 2 m1 7 8.1 7.292e+00 0.80812 1.0490 0.77034
+
#> ds 2 m1 7 7.9 7.292e+00 0.60812 1.0490 0.57969
+
#> ds 2 m1 14 10.1 1.055e+01 -0.45332 1.2090 -0.37495
+
#> ds 2 m1 14 10.3 1.055e+01 -0.25332 1.2090 -0.20953
+
#> ds 2 m1 28 10.7 1.230e+01 -1.59960 1.3074 -1.22347
+
#> ds 2 m1 28 12.2 1.230e+01 -0.09960 1.3074 -0.07618
+
#> ds 2 m1 60 10.7 1.065e+01 0.05342 1.2141 0.04400
+
#> ds 2 m1 60 12.5 1.065e+01 1.85342 1.2141 1.52661
+
#> ds 2 m1 90 9.1 8.196e+00 0.90368 1.0897 0.82930
+
#> ds 2 m1 90 7.4 8.196e+00 -0.79632 1.0897 -0.73078
+
#> ds 2 m1 120 6.1 5.997e+00 0.10252 0.9969 0.10284
+
#> ds 2 m1 120 4.5 5.997e+00 -1.49748 0.9969 -1.50220
+
#> ds 3 parent 0 106.2 1.014e+02 4.77492 8.0383 0.59402
+
#> ds 3 parent 0 106.9 1.014e+02 5.47492 8.0383 0.68110
+
#> ds 3 parent 1 107.4 9.390e+01 13.49935 7.4494 1.81214
+
#> ds 3 parent 1 96.1 9.390e+01 2.19935 7.4494 0.29524
+
#> ds 3 parent 3 79.4 8.152e+01 -2.12307 6.4821 -0.32753
+
#> ds 3 parent 3 82.6 8.152e+01 1.07693 6.4821 0.16614
+
#> ds 3 parent 7 63.9 6.446e+01 -0.55834 5.1533 -0.10834
+
#> ds 3 parent 7 62.4 6.446e+01 -2.05834 5.1533 -0.39942
+
#> ds 3 parent 14 51.0 4.826e+01 2.74073 3.9019 0.70241
+
#> ds 3 parent 14 47.1 4.826e+01 -1.15927 3.9019 -0.29711
+
#> ds 3 parent 28 36.1 3.424e+01 1.86399 2.8364 0.65718
+
#> ds 3 parent 28 36.6 3.424e+01 2.36399 2.8364 0.83346
+
#> ds 3 parent 60 20.1 1.968e+01 0.42172 1.7815 0.23672
+
#> ds 3 parent 60 19.8 1.968e+01 0.12172 1.7815 0.06833
+
#> ds 3 parent 90 11.3 1.195e+01 -0.64633 1.2869 -0.50222
+
#> ds 3 parent 90 10.7 1.195e+01 -1.24633 1.2869 -0.96844
+
#> ds 3 parent 120 8.2 7.255e+00 0.94532 1.0474 0.90251
+
#> ds 3 parent 120 7.3 7.255e+00 0.04532 1.0474 0.04327
+
#> ds 3 m1 0 0.8 2.956e-11 0.80000 0.8778 0.91140
+
#> ds 3 m1 1 1.8 1.758e+00 0.04187 0.8886 0.04712
+
#> ds 3 m1 1 2.3 1.758e+00 0.54187 0.8886 0.60978
+
#> ds 3 m1 3 4.2 4.567e+00 -0.36697 0.9486 -0.38683
+
#> ds 3 m1 3 4.1 4.567e+00 -0.46697 0.9486 -0.49224
+
#> ds 3 m1 7 6.8 8.151e+00 -1.35124 1.0876 -1.24242
+
#> ds 3 m1 7 10.1 8.151e+00 1.94876 1.0876 1.79182
+
#> ds 3 m1 14 11.4 1.083e+01 0.57098 1.2240 0.46647
+
#> ds 3 m1 14 12.8 1.083e+01 1.97098 1.2240 1.61022
+
#> ds 3 m1 28 11.5 1.147e+01 0.03175 1.2597 0.02520
+
#> ds 3 m1 28 10.6 1.147e+01 -0.86825 1.2597 -0.68928
+
#> ds 3 m1 60 7.5 9.298e+00 -1.79834 1.1433 -1.57298
+
#> ds 3 m1 60 8.6 9.298e+00 -0.69834 1.1433 -0.61083
+
#> ds 3 m1 90 7.3 7.038e+00 0.26249 1.0382 0.25283
+
#> ds 3 m1 90 8.1 7.038e+00 1.06249 1.0382 1.02340
+
#> ds 3 m1 120 5.3 5.116e+00 0.18417 0.9659 0.19068
+
#> ds 3 m1 120 3.8 5.116e+00 -1.31583 0.9659 -1.36232
+
#> ds 4 parent 0 104.7 1.014e+02 3.27492 8.0383 0.40741
+
#> ds 4 parent 0 88.3 1.014e+02 -13.12508 8.0383 -1.63281
+
#> ds 4 parent 1 94.2 9.781e+01 -3.61183 7.7555 -0.46572
+
#> ds 4 parent 1 94.6 9.781e+01 -3.21183 7.7555 -0.41414
+
#> ds 4 parent 3 78.1 9.110e+01 -13.00467 7.2307 -1.79853
+
#> ds 4 parent 3 96.5 9.110e+01 5.39533 7.2307 0.74617
+
#> ds 4 parent 7 76.2 7.951e+01 -3.30511 6.3246 -0.52258
+
#> ds 4 parent 7 77.8 7.951e+01 -1.70511 6.3246 -0.26960
+
#> ds 4 parent 14 70.8 6.376e+01 7.03783 5.0993 1.38016
+
#> ds 4 parent 14 67.3 6.376e+01 3.53783 5.0993 0.69379
+
#> ds 4 parent 28 43.1 4.340e+01 -0.30456 3.5303 -0.08627
+
#> ds 4 parent 28 45.1 4.340e+01 1.69544 3.5303 0.48026
+
#> ds 4 parent 60 21.3 2.142e+01 -0.12077 1.9022 -0.06349
+
#> ds 4 parent 60 23.5 2.142e+01 2.07923 1.9022 1.09308
+
#> ds 4 parent 90 11.8 1.207e+01 -0.26813 1.2940 -0.20721
+
#> ds 4 parent 90 12.1 1.207e+01 0.03187 1.2940 0.02463
+
#> ds 4 parent 120 7.0 6.954e+00 0.04554 1.0347 0.04402
+
#> ds 4 parent 120 6.2 6.954e+00 -0.75446 1.0347 -0.72914
+
#> ds 4 m1 0 1.6 1.990e-13 1.60000 0.8778 1.82279
+
#> ds 4 m1 1 0.9 7.305e-01 0.16949 0.8797 0.19267
+
#> ds 4 m1 3 3.7 2.051e+00 1.64896 0.8925 1.84753
+
#> ds 4 m1 3 2.0 2.051e+00 -0.05104 0.8925 -0.05719
+
#> ds 4 m1 7 3.6 4.204e+00 -0.60375 0.9382 -0.64354
+
#> ds 4 m1 7 3.8 4.204e+00 -0.40375 0.9382 -0.43036
+
#> ds 4 m1 14 7.1 6.760e+00 0.34021 1.0267 0.33137
+
#> ds 4 m1 14 6.6 6.760e+00 -0.15979 1.0267 -0.15563
+
#> ds 4 m1 28 9.5 9.011e+00 0.48856 1.1289 0.43277
+
#> ds 4 m1 28 9.3 9.011e+00 0.28856 1.1289 0.25561
+
#> ds 4 m1 60 8.3 8.611e+00 -0.31077 1.1093 -0.28014
+
#> ds 4 m1 60 9.0 8.611e+00 0.38923 1.1093 0.35086
+
#> ds 4 m1 90 6.6 6.678e+00 -0.07753 1.0233 -0.07576
+
#> ds 4 m1 90 7.7 6.678e+00 1.02247 1.0233 0.99915
+
#> ds 4 m1 120 3.7 4.847e+00 -1.14679 0.9572 -1.19804
+
#> ds 4 m1 120 3.5 4.847e+00 -1.34679 0.9572 -1.40698
+
#> ds 5 parent 0 110.4 1.014e+02 8.97492 8.0383 1.11651
+
#> ds 5 parent 0 112.1 1.014e+02 10.67492 8.0383 1.32800
+
#> ds 5 parent 1 93.5 9.466e+01 -1.16118 7.5089 -0.15464
+
#> ds 5 parent 1 91.0 9.466e+01 -3.66118 7.5089 -0.48758
+
#> ds 5 parent 3 71.0 8.302e+01 -12.01844 6.5988 -1.82130
+
#> ds 5 parent 3 89.7 8.302e+01 6.68156 6.5988 1.01254
+
#> ds 5 parent 7 60.4 6.563e+01 -5.22574 5.2440 -0.99652
+
#> ds 5 parent 7 59.1 6.563e+01 -6.52574 5.2440 -1.24442
+
#> ds 5 parent 14 56.5 4.727e+01 9.22621 3.8263 2.41128
+
#> ds 5 parent 14 47.0 4.727e+01 -0.27379 3.8263 -0.07156
+
#> ds 5 parent 28 30.2 3.103e+01 -0.83405 2.5977 -0.32108
+
#> ds 5 parent 28 23.9 3.103e+01 -7.13405 2.5977 -2.74634
+
#> ds 5 parent 60 17.0 1.800e+01 -0.99696 1.6675 -0.59787
+
#> ds 5 parent 60 18.7 1.800e+01 0.70304 1.6675 0.42161
+
#> ds 5 parent 90 11.3 1.167e+01 -0.36809 1.2710 -0.28961
+
#> ds 5 parent 90 11.9 1.167e+01 0.23191 1.2710 0.18246
+
#> ds 5 parent 120 9.0 7.595e+00 1.40496 1.0623 1.32256
+
#> ds 5 parent 120 8.1 7.595e+00 0.50496 1.0623 0.47535
+
#> ds 5 m1 0 0.7 0.000e+00 0.70000 0.8778 0.79747
+
#> ds 5 m1 1 3.0 3.158e+00 -0.15799 0.9123 -0.17317
+
#> ds 5 m1 1 2.6 3.158e+00 -0.55799 0.9123 -0.61160
+
#> ds 5 m1 3 5.1 8.443e+00 -3.34286 1.1013 -3.03535
+
#> ds 5 m1 3 7.5 8.443e+00 -0.94286 1.1013 -0.85613
+
#> ds 5 m1 7 16.5 1.580e+01 0.69781 1.5232 0.45811
+
#> ds 5 m1 7 19.0 1.580e+01 3.19781 1.5232 2.09935
+
#> ds 5 m1 14 22.9 2.216e+01 0.73604 1.9543 0.37663
+
#> ds 5 m1 14 23.2 2.216e+01 1.03604 1.9543 0.53014
+
#> ds 5 m1 28 22.2 2.423e+01 -2.03128 2.1011 -0.96678
+
#> ds 5 m1 28 24.4 2.423e+01 0.16872 2.1011 0.08030
+
#> ds 5 m1 60 15.5 1.876e+01 -3.25610 1.7187 -1.89455
+
#> ds 5 m1 60 19.8 1.876e+01 1.04390 1.7187 0.60739
+
#> ds 5 m1 90 14.9 1.366e+01 1.23585 1.3890 0.88976
+
#> ds 5 m1 90 14.2 1.366e+01 0.53585 1.3890 0.38579
+
#> ds 5 m1 120 10.9 9.761e+00 1.13911 1.1670 0.97613
+
#> ds 5 m1 120 10.4 9.761e+00 0.63911 1.1670 0.54767
+
# Add a correlation between random effects of g and k2
+
cov_model_3 <- f_saem_dfop_sfo_2$so@model@covariance.model
+
cov_model_3["log_k2", "g_qlogis"] <- 1
+
cov_model_3["g_qlogis", "log_k2"] <- 1
+
f_saem_dfop_sfo_3 <- update(f_saem_dfop_sfo,
+
covariance.model = cov_model_3)
+
intervals(f_saem_dfop_sfo_3)
+
#> Approximate 95% confidence intervals
+
#>
+
#> Fixed effects:
+
#> lower est. upper
+
#> parent_0 98.39888363 101.48951337 104.58014311
+
#> k_m1 0.01508704 0.01665986 0.01839665
+
#> f_parent_to_m1 0.20141557 0.27540583 0.36418131
+
#> k1 0.07708759 0.10430866 0.14114200
+
#> k2 0.01476621 0.01786384 0.02161129
+
#> g 0.33679867 0.45083525 0.57028162
+
#>
+
#> Random effects:
+
#> lower est. upper
+
#> sd(f_parent_qlogis) 0.38085375 0.4441841 0.5075145
+
#> sd(log_k1) 0.04774819 0.2660384 0.4843286
+
#> sd(log_k2) -0.63842736 0.1977024 1.0338321
+
#> sd(g_qlogis) 0.22711289 0.4502227 0.6733326
+
#> corr(log_k2,g_qlogis) -0.83271473 -0.6176939 -0.4026730
+
#>
+
#>
+
#> lower est. upper
+
#> a.1 0.67347568 0.87437392 1.07527216
+
#> b.1 0.06393032 0.07912417 0.09431802
+
# The correlation does not improve the fit judged by AIC and BIC, although
+
# the likelihood is higher with the additional parameter
+
anova(f_saem_dfop_sfo, f_saem_dfop_sfo_2, f_saem_dfop_sfo_3)
+
#> Data: 171 observations of 2 variable(s) grouped in 5 datasets
+
#>
+
#> npar AIC BIC Lik
+
#> f_saem_dfop_sfo_2 12 806.96 802.27 -391.48
+
#> f_saem_dfop_sfo_3 13 807.99 802.91 -391.00
+
#> f_saem_dfop_sfo 14 810.83 805.36 -391.42
# }
--
cgit v1.2.1