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Diffstat (limited to 'docs/reference/transform_odeparms.html')
| -rw-r--r-- | docs/reference/transform_odeparms.html | 330 |
1 files changed, 41 insertions, 289 deletions
diff --git a/docs/reference/transform_odeparms.html b/docs/reference/transform_odeparms.html index 3148f00b..fbc792f1 100644 --- a/docs/reference/transform_odeparms.html +++ b/docs/reference/transform_odeparms.html @@ -203,157 +203,29 @@ The transformation of sets of formation fractions is fragile, as it supposes <span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='st'>"m1"</span>, <span class='kw'>sink</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>), <span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>))</div><div class='output co'>#> <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='co'># Fit the model to the FOCUS example dataset D using defaults</span> <span class='no'>fit</span> <span class='kw'><-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>) -<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit</span>, <span class='kw'>data</span><span class='kw'>=</span><span class='fl'>FALSE</span>) <span class='co'># See transformed and backtransformed parameters</span></div><div class='output co'>#> mkin version used for fitting: 0.9.48.1 -#> R version used for fitting: 3.5.2 -#> Date of fit: Mon Mar 4 10:09:27 2019 -#> Date of summary: Mon Mar 4 10:09:27 2019 -#> -#> 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 deSolve -#> -#> Fitted with method Port using 153 model solutions performed in 0.699 s -#> -#> Weighting: none -#> -#> 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 1.61400 96.330 102.900 -#> log_k_parent_sink -3.038 0.07826 -3.197 -2.879 -#> log_k_parent_m1 -2.980 0.04124 -3.064 -2.897 -#> log_k_m1_sink -5.248 0.13610 -5.523 -4.972 -#> -#> Parameter correlation: -#> parent_0 log_k_parent_sink log_k_parent_m1 log_k_m1_sink -#> parent_0 1.00000 0.6075 -0.06625 -0.1701 -#> log_k_parent_sink 0.60752 1.0000 -0.08740 -0.6253 -#> log_k_parent_m1 -0.06625 -0.0874 1.00000 0.4716 -#> log_k_m1_sink -0.17006 -0.6253 0.47164 1.0000 -#> -#> Residual standard error: 3.211 on 36 degrees of freedom -#> -#> 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 61.720 2.024e-38 96.330000 1.029e+02 -#> k_parent_sink 0.047920 12.780 3.050e-15 0.040890 5.616e-02 -#> k_parent_m1 0.050780 24.250 3.407e-24 0.046700 5.521e-02 -#> k_m1_sink 0.005261 7.349 5.758e-09 0.003992 6.933e-03 -#> -#> 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</div><div class='input'> -</div><div class='input'><span class='no'>fit.2</span> <span class='kw'><-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>transform_rates</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>) -<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.2</span>, <span class='kw'>data</span><span class='kw'>=</span><span class='fl'>FALSE</span>)</div><div class='output co'>#> mkin version used for fitting: 0.9.48.1 -#> R version used for fitting: 3.5.2 -#> Date of fit: Mon Mar 4 10:09:29 2019 -#> Date of summary: Mon Mar 4 10:09:29 2019 -#> -#> 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 deSolve -#> -#> Fitted with method Port using 350 model solutions performed in 1.584 s -#> -#> Weighting: none -#> -#> 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_0 100.7500 -Inf Inf -#> k_parent_sink 0.1000 0 Inf -#> k_parent_m1 0.1001 0 Inf -#> k_m1_sink 0.1002 0 Inf -#> -#> Fixed parameter values: -#> value type -#> m1_0 0 state -#> -#> Optimised, transformed parameters with symmetric confidence intervals: -#> Estimate Std. Error Lower Upper -#> parent_0 99.600000 1.6140000 96.330000 1.029e+02 -#> k_parent_sink 0.047920 0.0037500 0.040310 5.553e-02 -#> k_parent_m1 0.050780 0.0020940 0.046530 5.502e-02 -#> k_m1_sink 0.005261 0.0007159 0.003809 6.713e-03 -#> -#> Parameter correlation: -#> parent_0 k_parent_sink k_parent_m1 k_m1_sink -#> parent_0 1.00000 0.6075 -0.06625 -0.1701 -#> k_parent_sink 0.60752 1.0000 -0.08740 -0.6253 -#> k_parent_m1 -0.06625 -0.0874 1.00000 0.4716 -#> k_m1_sink -0.17006 -0.6253 0.47164 1.0000 -#> -#> Residual standard error: 3.211 on 36 degrees of freedom -#> -#> 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 61.720 2.024e-38 96.330000 1.029e+02 -#> k_parent_sink 0.047920 12.780 3.050e-15 0.040310 5.553e-02 -#> k_parent_m1 0.050780 24.250 3.407e-24 0.046530 5.502e-02 -#> k_m1_sink 0.005261 7.349 5.758e-09 0.003809 6.713e-03 -#> -#> 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</div><div class='input'> +<span class='no'>fit.s</span> <span class='kw'><-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit</span>) +<span class='co'># Transformed and backtransformed parameters</span> +<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.s</span>$<span class='no'>par</span>, <span class='fl'>3</span>)</div><div class='output co'>#> Estimate Std. Error Lower Upper +#> parent_0 99.60 1.6137 96.33 102.87 +#> log_k_parent_sink -3.04 0.0783 -3.20 -2.88 +#> log_k_parent_m1 -2.98 0.0412 -3.06 -2.90 +#> log_k_m1_sink -5.25 0.1361 -5.52 -4.97</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.s</span>$<span class='no'>bpar</span>, <span class='fl'>3</span>)</div><div class='output co'>#> Estimate se_notrans t value Pr(>t) Lower Upper +#> parent_0 99.59848 1.613712 61.72 2.02e-38 96.32572 1.03e+02 +#> k_parent_sink 0.04792 0.003750 12.78 3.05e-15 0.04089 5.62e-02 +#> k_parent_m1 0.05078 0.002094 24.25 3.41e-24 0.04670 5.52e-02 +#> k_m1_sink 0.00526 0.000716 7.35 5.76e-09 0.00399 6.93e-03</div><div class='input'> +</div><div class='input'><span class='co'># Compare to the version without transforming rate parameters</span> +<span class='no'>fit.2</span> <span class='kw'><-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>transform_rates</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>) +<span class='no'>fit.2.s</span> <span class='kw'><-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.2</span>) +<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.2.s</span>$<span class='no'>par</span>, <span class='fl'>3</span>)</div><div class='output co'>#> Estimate Std. Error Lower Upper +#> parent_0 99.59848 1.613710 96.32573 1.03e+02 +#> k_parent_sink 0.04792 0.003750 0.04031 5.55e-02 +#> k_parent_m1 0.05078 0.002094 0.04653 5.50e-02 +#> k_m1_sink 0.00526 0.000716 0.00381 6.71e-03</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.2.s</span>$<span class='no'>bpar</span>, <span class='fl'>3</span>)</div><div class='output co'>#> Estimate se_notrans t value Pr(>t) Lower Upper +#> parent_0 99.59848 1.613710 61.72 2.02e-38 96.32573 1.03e+02 +#> k_parent_sink 0.04792 0.003750 12.78 3.05e-15 0.04031 5.55e-02 +#> k_parent_m1 0.05078 0.002094 24.25 3.41e-24 0.04653 5.50e-02 +#> k_m1_sink 0.00526 0.000716 7.35 5.76e-09 0.00381 6.71e-03</div><div class='input'> <span class='no'>initials</span> <span class='kw'><-</span> <span class='no'>fit</span>$<span class='no'>start</span>$<span class='no'>value</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/names'>names</a></span>(<span class='no'>initials</span>) <span class='kw'><-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/colnames'>rownames</a></span>(<span class='no'>fit</span>$<span class='no'>start</span>) <span class='no'>transformed</span> <span class='kw'><-</span> <span class='no'>fit</span>$<span class='no'>start_transformed</span>$<span class='no'>value</span> @@ -367,80 +239,16 @@ The transformation of sets of formation fractions is fragile, as it supposes <span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>), <span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#> <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'> <span class='no'>fit.ff</span> <span class='kw'><-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO.ff</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>) -<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.ff</span>, <span class='kw'>data</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>)</div><div class='output co'>#> mkin version used for fitting: 0.9.48.1 -#> R version used for fitting: 3.5.2 -#> Date of fit: Mon Mar 4 10:09:30 2019 -#> Date of summary: Mon Mar 4 10:09:30 2019 -#> -#> Equations: -#> d_parent/dt = - k_parent * parent -#> d_m1/dt = + f_parent_to_m1 * k_parent * parent - k_m1 * m1 -#> -#> Model predictions using solution type deSolve -#> -#> Fitted with method Port using 186 model solutions performed in 0.86 s -#> -#> Weighting: none -#> -#> Starting values for parameters to be optimised: -#> value type -#> parent_0 100.7500 state -#> k_parent 0.1000 deparm -#> k_m1 0.1001 deparm -#> f_parent_to_m1 0.5000 deparm -#> -#> Starting values for the transformed parameters actually optimised: -#> value lower upper -#> parent_0 100.750000 -Inf Inf -#> log_k_parent -2.302585 -Inf Inf -#> log_k_m1 -2.301586 -Inf Inf -#> f_parent_ilr_1 0.000000 -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 99.60000 1.61400 96.3300 102.9000 -#> log_k_parent -2.31600 0.04187 -2.4010 -2.2310 -#> log_k_m1 -5.24800 0.13610 -5.5230 -4.9720 -#> f_parent_ilr_1 0.04096 0.06477 -0.0904 0.1723 -#> -#> Parameter correlation: -#> parent_0 log_k_parent log_k_m1 f_parent_ilr_1 -#> parent_0 1.0000 0.5178 -0.1701 -0.5489 -#> log_k_parent 0.5178 1.0000 -0.3285 -0.5451 -#> log_k_m1 -0.1701 -0.3285 1.0000 0.7466 -#> f_parent_ilr_1 -0.5489 -0.5451 0.7466 1.0000 -#> -#> Residual standard error: 3.211 on 36 degrees of freedom -#> -#> 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 61.720 2.024e-38 96.330000 1.029e+02 -#> k_parent 0.098700 23.880 5.700e-24 0.090660 1.074e-01 -#> k_m1 0.005261 7.349 5.758e-09 0.003992 6.933e-03 -#> f_parent_to_m1 0.514500 22.490 4.375e-23 0.468100 5.606e-01 -#> -#> Chi2 error levels in percent: -#> err.min n.optim df -#> All data 6.398 4 15 -#> parent 6.459 2 7 -#> m1 4.690 2 8 -#> -#> Resulting formation fractions: -#> ff -#> parent_m1 0.5145 -#> parent_sink 0.4855 -#> -#> Estimated disappearance times: -#> DT50 DT90 -#> parent 7.023 23.33 -#> m1 131.761 437.70</div><div class='input'><span class='no'>initials</span> <span class='kw'><-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"f_parent_to_m1"</span> <span class='kw'>=</span> <span class='fl'>0.5</span>) +<span class='no'>fit.ff.s</span> <span class='kw'><-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.ff</span>) +<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.ff.s</span>$<span class='no'>par</span>, <span class='fl'>3</span>)</div><div class='output co'>#> Estimate Std. Error Lower Upper +#> parent_0 99.598 1.6137 96.3257 102.871 +#> log_k_parent -2.316 0.0419 -2.4006 -2.231 +#> log_k_m1 -5.248 0.1361 -5.5235 -4.972 +#> f_parent_ilr_1 0.041 0.0648 -0.0904 0.172</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.ff.s</span>$<span class='no'>bpar</span>, <span class='fl'>3</span>)</div><div class='output co'>#> Estimate se_notrans t value Pr(>t) Lower Upper +#> parent_0 99.59848 1.613712 61.72 2.02e-38 96.32574 1.03e+02 +#> k_parent 0.09870 0.004132 23.88 5.70e-24 0.09066 1.07e-01 +#> k_m1 0.00526 0.000716 7.35 5.76e-09 0.00399 6.93e-03 +#> f_parent_to_m1 0.51448 0.022880 22.49 4.37e-23 0.46808 5.61e-01</div><div class='input'><span class='no'>initials</span> <span class='kw'><-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"f_parent_to_m1"</span> <span class='kw'>=</span> <span class='fl'>0.5</span>) <span class='no'>transformed</span> <span class='kw'><-</span> <span class='fu'>transform_odeparms</span>(<span class='no'>initials</span>, <span class='no'>SFO_SFO.ff</span>) <span class='fu'>backtransform_odeparms</span>(<span class='no'>transformed</span>, <span class='no'>SFO_SFO.ff</span>)</div><div class='output co'>#> f_parent_to_m1 #> 0.5 </div><div class='input'> @@ -451,70 +259,14 @@ The transformation of sets of formation fractions is fragile, as it supposes <span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#> <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'> <span class='no'>fit.ff.2</span> <span class='kw'><-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO.ff.2</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>) -<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.ff.2</span>, <span class='kw'>data</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>)</div><div class='output co'>#> mkin version used for fitting: 0.9.48.1 -#> R version used for fitting: 3.5.2 -#> Date of fit: Mon Mar 4 10:09:31 2019 -#> Date of summary: Mon Mar 4 10:09:31 2019 -#> -#> Equations: -#> d_parent/dt = - k_parent * parent -#> d_m1/dt = + k_parent * parent - k_m1 * m1 -#> -#> Model predictions using solution type deSolve -#> -#> Fitted with method Port using 104 model solutions performed in 0.476 s -#> -#> Weighting: none -#> -#> Starting values for parameters to be optimised: -#> value type -#> parent_0 100.7500 state -#> k_parent 0.1000 deparm -#> k_m1 0.1001 deparm -#> -#> Starting values for the transformed parameters actually optimised: -#> value lower upper -#> parent_0 100.750000 -Inf Inf -#> log_k_parent -2.302585 -Inf Inf -#> log_k_m1 -2.301586 -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 84.790 2.96500 78.78 90.800 -#> log_k_parent -2.756 0.08088 -2.92 -2.593 -#> log_k_m1 -4.214 0.11150 -4.44 -3.988 -#> -#> Parameter correlation: -#> parent_0 log_k_parent log_k_m1 -#> parent_0 1.0000 0.11058 0.46156 -#> log_k_parent 0.1106 1.00000 0.06274 -#> log_k_m1 0.4616 0.06274 1.00000 -#> -#> Residual standard error: 8.333 on 37 degrees of freedom -#> -#> 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 84.79000 28.600 3.939e-27 78.78000 90.80000 -#> k_parent 0.06352 12.360 5.237e-15 0.05392 0.07483 -#> k_m1 0.01478 8.966 4.114e-11 0.01179 0.01853 -#> -#> Chi2 error levels in percent: -#> err.min n.optim df -#> All data 19.66 3 16 -#> parent 17.56 2 7 -#> m1 18.71 1 9 -#> -#> Estimated disappearance times: -#> DT50 DT90 -#> parent 10.91 36.25 -#> m1 46.89 155.75</div></pre> +<span class='no'>fit.ff.2.s</span> <span class='kw'><-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.ff.2</span>) +<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.ff.2.s</span>$<span class='no'>par</span>, <span class='fl'>3</span>)</div><div class='output co'>#> Estimate Std. Error Lower Upper +#> parent_0 84.79 2.9651 78.78 90.80 +#> log_k_parent -2.76 0.0809 -2.92 -2.59 +#> log_k_m1 -4.21 0.1115 -4.44 -3.99</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.ff.2.s</span>$<span class='no'>bpar</span>, <span class='fl'>3</span>)</div><div class='output co'>#> Estimate se_notrans t value Pr(>t) Lower Upper +#> parent_0 84.7916 2.96505 28.60 3.94e-27 78.7838 90.7994 +#> k_parent 0.0635 0.00514 12.36 5.24e-15 0.0539 0.0748 +#> k_m1 0.0148 0.00165 8.97 4.11e-11 0.0118 0.0185</div></pre> </div> <div class="col-md-3 hidden-xs hidden-sm" id="sidebar"> <h2>Contents</h2> |