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mkin version used for fitting: Dummy 0.0 for testing
R version used for fitting: Dummy R version for testing
Date of fit: Dummy date for testing
Date of summary: Dummy date for testing
Equations:
d_parent/dt = - k_parent_sink * parent - k_parent_m1 * parent
d_m1/dt = + k_parent_m1 * parent - k_m1_sink * m1
Model predictions using solution type eigen
Fitted using test 0 model solutions performed in test time 0 s
Error model: Constant variance
Error model algorithm: OLS
Starting values for parameters to be optimised:
value type
parent_0 100.7500 state
k_parent_sink 0.1000 deparm
k_parent_m1 0.1001 deparm
k_m1_sink 0.1002 deparm
Starting values for the transformed parameters actually optimised:
value lower upper
parent_0 100.750000 -Inf Inf
log_k_parent_sink -2.302585 -Inf Inf
log_k_parent_m1 -2.301586 -Inf Inf
log_k_m1_sink -2.300587 -Inf Inf
Fixed parameter values:
value type
m1_0 0 state
Optimised, transformed parameters with symmetric confidence intervals:
Estimate Std. Error Lower Upper
parent_0 99.600 1.57000 96.400 102.800
log_k_parent_sink -3.038 0.07626 -3.193 -2.883
log_k_parent_m1 -2.980 0.04033 -3.062 -2.898
log_k_m1_sink -5.248 0.13320 -5.518 -4.977
sigma 3.126 0.35850 2.396 3.855
Parameter correlation:
parent_0 log_k_parent_sink log_k_parent_m1 log_k_m1_sink
parent_0 1e+00 6e-01 -6e-02 -2e-01
log_k_parent_sink 6e-01 1e+00 -9e-02 -6e-01
log_k_parent_m1 -6e-02 -9e-02 1e+00 5e-01
log_k_m1_sink -2e-01 -6e-01 5e-01 1e+00
sigma 1e-09 6e-10 3e-08 1e-09
sigma
parent_0 1e-09
log_k_parent_sink 6e-10
log_k_parent_m1 3e-08
log_k_m1_sink 1e-09
sigma 1e+00
Backtransformed parameters:
Confidence intervals for internally transformed parameters are asymmetric.
t-test (unrealistically) based on the assumption of normal distribution
for estimators of untransformed parameters.
Estimate t value Pr(>t) Lower Upper
parent_0 99.600000 63.430 2.298e-36 96.400000 1.028e+02
k_parent_sink 0.047920 13.110 6.126e-15 0.041030 5.596e-02
k_parent_m1 0.050780 24.800 3.269e-23 0.046780 5.512e-02
k_m1_sink 0.005261 7.510 6.165e-09 0.004012 6.898e-03
sigma 3.126000 8.718 2.235e-10 2.396000 3.855e+00
FOCUS Chi2 error levels in percent:
err.min n.optim df
All data 6.398 4 15
parent 6.827 3 6
m1 4.490 1 9
Resulting formation fractions:
ff
parent_sink 0.4855
parent_m1 0.5145
m1_sink 1.0000
Estimated disappearance times:
DT50 DT90
parent 7.023 23.33
m1 131.761 437.70
Data:
time variable observed predicted residual
0 parent 99.46 99.59848 -1.385e-01
0 parent 102.04 99.59848 2.442e+00
1 parent 93.50 90.23787 3.262e+00
1 parent 92.50 90.23787 2.262e+00
3 parent 63.23 74.07320 -1.084e+01
3 parent 68.99 74.07320 -5.083e+00
7 parent 52.32 49.91207 2.408e+00
7 parent 55.13 49.91207 5.218e+00
14 parent 27.27 25.01257 2.257e+00
14 parent 26.64 25.01257 1.627e+00
21 parent 11.50 12.53462 -1.035e+00
21 parent 11.64 12.53462 -8.946e-01
35 parent 2.85 3.14787 -2.979e-01
35 parent 2.91 3.14787 -2.379e-01
50 parent 0.69 0.71624 -2.624e-02
50 parent 0.63 0.71624 -8.624e-02
75 parent 0.05 0.06074 -1.074e-02
75 parent 0.06 0.06074 -7.382e-04
1 m1 4.84 4.80296 3.704e-02
1 m1 5.64 4.80296 8.370e-01
3 m1 12.91 13.02400 -1.140e-01
3 m1 12.96 13.02400 -6.400e-02
7 m1 22.97 25.04476 -2.075e+00
7 m1 24.47 25.04476 -5.748e-01
14 m1 41.69 36.69002 5.000e+00
14 m1 33.21 36.69002 -3.480e+00
21 m1 44.37 41.65310 2.717e+00
21 m1 46.44 41.65310 4.787e+00
35 m1 41.22 43.31312 -2.093e+00
35 m1 37.95 43.31312 -5.363e+00
50 m1 41.19 41.21831 -2.831e-02
50 m1 40.01 41.21831 -1.208e+00
75 m1 40.09 36.44703 3.643e+00
75 m1 33.85 36.44703 -2.597e+00
100 m1 31.04 31.98163 -9.416e-01
100 m1 33.13 31.98163 1.148e+00
120 m1 25.15 28.78984 -3.640e+00
120 m1 33.31 28.78984 4.520e+00
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