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authorJohannes Ranke <jranke@uni-bremen.de>2015-06-21 01:46:51 +0200
committerJohannes Ranke <jranke@uni-bremen.de>2015-06-21 15:23:20 +0200
commit6733555d7a9315c55001770bacc4c61c4d4f39d5 (patch)
treef645a69a54fa6b58cfd65ed581d5f2b88950f6d6 /vignettes/FOCUS_L.html
parentf0da2e311eb33fa5851956e958e91c25b4da5c1e (diff)
Do the t-test for untransformed parametersv0.9-36
Diffstat (limited to 'vignettes/FOCUS_L.html')
-rw-r--r--vignettes/FOCUS_L.html357
1 files changed, 188 insertions, 169 deletions
diff --git a/vignettes/FOCUS_L.html b/vignettes/FOCUS_L.html
index 96ea70ce..692caf93 100644
--- a/vignettes/FOCUS_L.html
+++ b/vignettes/FOCUS_L.html
@@ -214,13 +214,7 @@ hr {
report, p. 284:</p>
<pre><code class="r">library(&quot;mkin&quot;)
-</code></pre>
-
-<pre><code>## Loading required package: minpack.lm
-## Loading required package: rootSolve
-</code></pre>
-
-<pre><code class="r">FOCUS_2006_L1 = data.frame(
+FOCUS_2006_L1 = data.frame(
t = rep(c(0, 1, 2, 3, 5, 7, 14, 21, 30), each = 2),
parent = c(88.3, 91.4, 85.6, 84.5, 78.9, 77.6,
72.0, 71.9, 50.3, 59.4, 47.0, 45.1,
@@ -242,17 +236,17 @@ given in the FOCUS report. </p>
summary(m.L1.SFO)
</code></pre>
-<pre><code>## mkin version: 0.9.35
-## R version: 3.1.2
-## Date of fit: Sat Feb 21 14:44:53 2015
-## Date of summary: Sat Feb 21 14:44:53 2015
+<pre><code>## mkin version: 0.9.36
+## R version: 3.2.1
+## Date of fit: Sun Jun 21 01:47:59 2015
+## Date of summary: Sun Jun 21 01:47:59 2015
##
## Equations:
## d_parent = - k_parent_sink * parent
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 37 model solutions performed in 0.098 s
+## Fitted with method Port using 37 model solutions performed in 0.093 s
##
## Weighting: none
##
@@ -269,13 +263,10 @@ summary(m.L1.SFO)
## Fixed parameter values:
## None
##
-## Optimised, transformed parameters:
-## Estimate Std. Error Lower Upper t value Pr(&gt;|t|)
-## parent_0 92.470 1.36800 89.570 95.370 67.58 4.339e-21
-## log_k_parent_sink -2.347 0.04057 -2.433 -2.261 -57.86 5.155e-20
-## Pr(&gt;t)
-## parent_0 2.170e-21
-## log_k_parent_sink 2.577e-20
+## Optimised, transformed parameters with symmetric confidence intervals:
+## Estimate Std. Error Lower Upper
+## parent_0 92.470 1.36800 89.570 95.370
+## log_k_parent_sink -2.347 0.04057 -2.433 -2.261
##
## Parameter correlation:
## parent_0 log_k_parent_sink
@@ -285,9 +276,12 @@ summary(m.L1.SFO)
## Residual standard error: 2.948 on 16 degrees of freedom
##
## Backtransformed parameters:
-## Estimate Lower Upper
-## parent_0 92.47000 89.57000 95.3700
-## k_parent_sink 0.09561 0.08773 0.1042
+## 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(&gt;t) Lower Upper
+## parent_0 92.47000 67.58 2.170e-21 89.57000 95.3700
+## k_parent_sink 0.09561 24.65 1.867e-14 0.08773 0.1042
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -341,20 +335,31 @@ The residual plot can be easily obtained by</p>
is checked.</p>
<pre><code class="r">m.L1.FOMC &lt;- mkinfit(&quot;FOMC&quot;, FOCUS_2006_L1_mkin, quiet=TRUE)
-summary(m.L1.FOMC, data = FALSE)
</code></pre>
-<pre><code>## mkin version: 0.9.35
-## R version: 3.1.2
-## Date of fit: Sat Feb 21 14:44:55 2015
-## Date of summary: Sat Feb 21 14:44:55 2015
+<pre><code>## Warning in mkinfit(&quot;FOMC&quot;, FOCUS_2006_L1_mkin, quiet = TRUE): Optimisation by method Port did not converge.
+## Convergence code is 1
+</code></pre>
+
+<pre><code class="r">summary(m.L1.FOMC, data = FALSE)
+</code></pre>
+
+<pre><code>## mkin version: 0.9.36
+## R version: 3.2.1
+## Date of fit: Sun Jun 21 01:48:00 2015
+## Date of summary: Sun Jun 21 01:48:00 2015
+##
+##
+## Warning: Optimisation by method Port did not converge.
+## Convergence code is 1
+##
##
## Equations:
-## d_parent = - (alpha/beta) * ((time/beta) + 1)^-1 * parent
+## d_parent = - (alpha/beta) * 1/((time/beta) + 1) * parent
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 611 model solutions performed in 1.509 s
+## Fitted with method Port using 188 model solutions performed in 0.463 s
##
## Weighting: none
##
@@ -373,29 +378,28 @@ summary(m.L1.FOMC, data = FALSE)
## Fixed parameter values:
## None
##
-## Optimised, transformed parameters:
-## Estimate Std. Error Lower Upper t value Pr(&gt;|t|)
-## parent_0 92.47 1.482 89.31 95.63 62.39000 1.546e-19
-## log_alpha 11.25 598.200 -1264.00 1286.00 0.01880 9.852e-01
-## log_beta 13.60 598.200 -1261.00 1289.00 0.02273 9.822e-01
-## Pr(&gt;t)
-## parent_0 7.730e-20
-## log_alpha 4.926e-01
-## log_beta 4.911e-01
+## Optimised, transformed parameters with symmetric confidence intervals:
+## Estimate Std. Error Lower Upper
+## parent_0 92.47 1.422 89.44 95.50
+## log_alpha 15.43 15.080 -16.71 47.58
+## log_beta 17.78 15.090 -14.37 49.93
##
## Parameter correlation:
## parent_0 log_alpha log_beta
-## parent_0 1.0000 -0.3016 -0.3016
-## log_alpha -0.3016 1.0000 1.0000
-## log_beta -0.3016 1.0000 1.0000
+## parent_0 1.0000 0.1129 0.1112
+## log_alpha 0.1129 1.0000 1.0000
+## log_beta 0.1112 1.0000 1.0000
##
## Residual standard error: 3.045 on 15 degrees of freedom
##
## Backtransformed parameters:
-## Estimate Lower Upper
-## parent_0 92.47 89.31 95.63
-## alpha 76830.00 0.00 Inf
-## beta 803500.00 0.00 Inf
+## 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(&gt;t) Lower Upper
+## parent_0 9.247e+01 65.150 4.044e-20 8.944e+01 9.550e+01
+## alpha 5.044e+06 1.271 1.115e-01 5.510e-08 4.618e+20
+## beta 5.276e+07 1.259 1.137e-01 5.732e-07 4.857e+21
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -403,8 +407,8 @@ summary(m.L1.FOMC, data = FALSE)
## parent 3.619 3 6
##
## Estimated disappearance times:
-## DT50 DT90 DT50back
-## parent 7.249 24.08 7.249
+## DT50 DT90 DT50back
+## parent 7.25 24.08 7.25
</code></pre>
<p>Due to the higher number of parameters, and the lower number of degrees of
@@ -442,17 +446,17 @@ FOCUS_2006_L2_mkin &lt;- mkin_wide_to_long(FOCUS_2006_L2)
summary(m.L2.SFO)
</code></pre>
-<pre><code>## mkin version: 0.9.35
-## R version: 3.1.2
-## Date of fit: Sat Feb 21 14:44:55 2015
-## Date of summary: Sat Feb 21 14:44:55 2015
+<pre><code>## mkin version: 0.9.36
+## R version: 3.2.1
+## Date of fit: Sun Jun 21 01:48:00 2015
+## Date of summary: Sun Jun 21 01:48:00 2015
##
## Equations:
## d_parent = - k_parent_sink * parent
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 41 model solutions performed in 0.1 s
+## Fitted with method Port using 41 model solutions performed in 0.097 s
##
## Weighting: none
##
@@ -469,13 +473,10 @@ summary(m.L2.SFO)
## Fixed parameter values:
## None
##
-## Optimised, transformed parameters:
-## Estimate Std. Error Lower Upper t value Pr(&gt;|t|)
-## parent_0 91.4700 3.8070 82.9800 99.9500 24.030 3.545e-10
-## log_k_parent_sink -0.4112 0.1074 -0.6505 -0.1719 -3.828 3.329e-03
-## Pr(&gt;t)
-## parent_0 1.773e-10
-## log_k_parent_sink 1.664e-03
+## Optimised, transformed parameters with symmetric confidence intervals:
+## Estimate Std. Error Lower Upper
+## parent_0 91.4700 3.8070 82.9800 99.9500
+## log_k_parent_sink -0.4112 0.1074 -0.6505 -0.1719
##
## Parameter correlation:
## parent_0 log_k_parent_sink
@@ -485,9 +486,12 @@ summary(m.L2.SFO)
## Residual standard error: 5.51 on 10 degrees of freedom
##
## Backtransformed parameters:
-## Estimate Lower Upper
-## parent_0 91.4700 82.9800 99.9500
-## k_parent_sink 0.6629 0.5218 0.8421
+## 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(&gt;t) Lower Upper
+## parent_0 91.4700 24.03 1.773e-10 82.9800 99.9500
+## k_parent_sink 0.6629 9.31 1.525e-06 0.5218 0.8421
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -552,17 +556,17 @@ mkinresplot(m.L2.FOMC)
<pre><code class="r">summary(m.L2.FOMC, data = FALSE)
</code></pre>
-<pre><code>## mkin version: 0.9.35
-## R version: 3.1.2
-## Date of fit: Sat Feb 21 14:44:55 2015
-## Date of summary: Sat Feb 21 14:44:55 2015
+<pre><code>## mkin version: 0.9.36
+## R version: 3.2.1
+## Date of fit: Sun Jun 21 01:48:00 2015
+## Date of summary: Sun Jun 21 01:48:00 2015
##
## Equations:
-## d_parent = - (alpha/beta) * ((time/beta) + 1)^-1 * parent
+## d_parent = - (alpha/beta) * 1/((time/beta) + 1) * parent
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 81 model solutions performed in 0.201 s
+## Fitted with method Port using 81 model solutions performed in 0.191 s
##
## Weighting: none
##
@@ -581,11 +585,11 @@ mkinresplot(m.L2.FOMC)
## Fixed parameter values:
## None
##
-## Optimised, transformed parameters:
-## Estimate Std. Error Lower Upper t value Pr(&gt;|t|) Pr(&gt;t)
-## parent_0 93.7700 1.8560 89.5700 97.9700 50.5100 2.345e-12 1.173e-12
-## log_alpha 0.3180 0.1867 -0.1044 0.7405 1.7030 1.227e-01 6.137e-02
-## log_beta 0.2102 0.2943 -0.4555 0.8759 0.7142 4.932e-01 2.466e-01
+## Optimised, transformed parameters with symmetric confidence intervals:
+## Estimate Std. Error Lower Upper
+## parent_0 93.7700 1.8560 89.5700 97.9700
+## log_alpha 0.3180 0.1867 -0.1044 0.7405
+## log_beta 0.2102 0.2943 -0.4555 0.8759
##
## Parameter correlation:
## parent_0 log_alpha log_beta
@@ -596,10 +600,13 @@ mkinresplot(m.L2.FOMC)
## Residual standard error: 2.628 on 9 degrees of freedom
##
## Backtransformed parameters:
-## Estimate Lower Upper
-## parent_0 93.770 89.5700 97.970
-## alpha 1.374 0.9009 2.097
-## beta 1.234 0.6341 2.401
+## 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(&gt;t) Lower Upper
+## parent_0 93.770 50.510 1.173e-12 89.5700 97.970
+## alpha 1.374 5.355 2.296e-04 0.9009 2.097
+## beta 1.234 3.398 3.949e-03 0.6341 2.401
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -638,10 +645,10 @@ plot(m.L2.DFOP)
<pre><code class="r">summary(m.L2.DFOP, data = FALSE)
</code></pre>
-<pre><code>## mkin version: 0.9.35
-## R version: 3.1.2
-## Date of fit: Sat Feb 21 14:44:57 2015
-## Date of summary: Sat Feb 21 14:44:57 2015
+<pre><code>## mkin version: 0.9.36
+## R version: 3.2.1
+## Date of fit: Sun Jun 21 01:48:02 2015
+## Date of summary: Sun Jun 21 01:48:02 2015
##
## Equations:
## d_parent = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *
@@ -650,7 +657,7 @@ plot(m.L2.DFOP)
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 336 model solutions performed in 0.856 s
+## Fitted with method Port using 336 model solutions performed in 0.835 s
##
## Weighting: none
##
@@ -671,12 +678,12 @@ plot(m.L2.DFOP)
## Fixed parameter values:
## None
##
-## Optimised, transformed parameters:
-## Estimate Std. Error Lower Upper t value Pr(&gt;|t|) Pr(&gt;t)
-## parent_0 93.9500 NA NA NA NA NA NA
-## log_k1 3.1210 NA NA NA NA NA NA
-## log_k2 -1.0880 NA NA NA NA NA NA
-## g_ilr -0.2821 NA NA NA NA NA NA
+## Optimised, transformed parameters with symmetric confidence intervals:
+## Estimate Std. Error Lower Upper
+## parent_0 93.9500 NA NA NA
+## log_k1 3.1210 NA NA NA
+## log_k2 -1.0880 NA NA NA
+## g_ilr -0.2821 NA NA NA
##
## Parameter correlation:
## Could not estimate covariance matrix; singular system:
@@ -684,11 +691,14 @@ plot(m.L2.DFOP)
## Residual standard error: 1.732 on 8 degrees of freedom
##
## Backtransformed parameters:
-## Estimate Lower Upper
-## parent_0 93.9500 NA NA
-## k1 22.6700 NA NA
-## k2 0.3369 NA NA
-## g 0.4016 NA NA
+## 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(&gt;t) Lower Upper
+## parent_0 93.9500 NA NA NA NA
+## k1 22.6700 NA NA NA NA
+## k2 0.3369 NA NA NA NA
+## g 0.4016 NA NA NA NA
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -727,17 +737,17 @@ plot(m.L3.SFO)
<pre><code class="r">summary(m.L3.SFO)
</code></pre>
-<pre><code>## mkin version: 0.9.35
-## R version: 3.1.2
-## Date of fit: Sat Feb 21 14:44:57 2015
-## Date of summary: Sat Feb 21 14:44:57 2015
+<pre><code>## mkin version: 0.9.36
+## R version: 3.2.1
+## Date of fit: Sun Jun 21 01:48:03 2015
+## Date of summary: Sun Jun 21 01:48:03 2015
##
## Equations:
## d_parent = - k_parent_sink * parent
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 43 model solutions performed in 0.109 s
+## Fitted with method Port using 43 model solutions performed in 0.104 s
##
## Weighting: none
##
@@ -754,13 +764,10 @@ plot(m.L3.SFO)
## Fixed parameter values:
## None
##
-## Optimised, transformed parameters:
-## Estimate Std. Error Lower Upper t value Pr(&gt;|t|)
-## parent_0 74.870 8.4570 54.180 95.57 8.853 1.155e-04
-## log_k_parent_sink -3.678 0.3261 -4.476 -2.88 -11.280 2.903e-05
-## Pr(&gt;t)
-## parent_0 5.776e-05
-## log_k_parent_sink 1.451e-05
+## Optimised, transformed parameters with symmetric confidence intervals:
+## Estimate Std. Error Lower Upper
+## parent_0 74.870 8.4570 54.180 95.57
+## log_k_parent_sink -3.678 0.3261 -4.476 -2.88
##
## Parameter correlation:
## parent_0 log_k_parent_sink
@@ -770,9 +777,12 @@ plot(m.L3.SFO)
## Residual standard error: 12.91 on 6 degrees of freedom
##
## Backtransformed parameters:
-## Estimate Lower Upper
-## parent_0 74.87000 54.18000 95.57000
-## k_parent_sink 0.02527 0.01138 0.05612
+## 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(&gt;t) Lower Upper
+## parent_0 74.87000 8.853 5.776e-05 54.18000 95.57000
+## k_parent_sink 0.02527 3.067 1.102e-02 0.01138 0.05612
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -813,17 +823,17 @@ plot(m.L3.FOMC)
<pre><code class="r">summary(m.L3.FOMC, data = FALSE)
</code></pre>
-<pre><code>## mkin version: 0.9.35
-## R version: 3.1.2
-## Date of fit: Sat Feb 21 14:44:58 2015
-## Date of summary: Sat Feb 21 14:44:58 2015
+<pre><code>## mkin version: 0.9.36
+## R version: 3.2.1
+## Date of fit: Sun Jun 21 01:48:03 2015
+## Date of summary: Sun Jun 21 01:48:03 2015
##
## Equations:
-## d_parent = - (alpha/beta) * ((time/beta) + 1)^-1 * parent
+## d_parent = - (alpha/beta) * 1/((time/beta) + 1) * parent
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 83 model solutions performed in 0.203 s
+## Fitted with method Port using 83 model solutions performed in 0.196 s
##
## Weighting: none
##
@@ -842,11 +852,11 @@ plot(m.L3.FOMC)
## Fixed parameter values:
## None
##
-## Optimised, transformed parameters:
-## Estimate Std. Error Lower Upper t value Pr(&gt;|t|) Pr(&gt;t)
-## parent_0 96.9700 4.5500 85.2800 108.7000 21.310 4.216e-06 2.108e-06
-## log_alpha -0.8619 0.1704 -1.3000 -0.4238 -5.057 3.911e-03 1.955e-03
-## log_beta 0.6193 0.4744 -0.6003 1.8390 1.305 2.486e-01 1.243e-01
+## Optimised, transformed parameters with symmetric confidence intervals:
+## Estimate Std. Error Lower Upper
+## parent_0 96.9700 4.5500 85.2800 108.7000
+## log_alpha -0.8619 0.1704 -1.3000 -0.4238
+## log_beta 0.6193 0.4744 -0.6003 1.8390
##
## Parameter correlation:
## parent_0 log_alpha log_beta
@@ -857,10 +867,13 @@ plot(m.L3.FOMC)
## Residual standard error: 4.572 on 5 degrees of freedom
##
## Backtransformed parameters:
-## Estimate Lower Upper
-## parent_0 96.9700 85.2800 108.7000
-## alpha 0.4224 0.2725 0.6546
-## beta 1.8580 0.5487 6.2890
+## 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(&gt;t) Lower Upper
+## parent_0 96.9700 21.310 2.108e-06 85.2800 108.7000
+## alpha 0.4224 5.867 1.020e-03 0.2725 0.6546
+## beta 1.8580 2.108 4.444e-02 0.5487 6.2890
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -886,10 +899,10 @@ plot(m.L3.DFOP)
<pre><code class="r">summary(m.L3.DFOP, data = FALSE)
</code></pre>
-<pre><code>## mkin version: 0.9.35
-## R version: 3.1.2
-## Date of fit: Sat Feb 21 14:44:58 2015
-## Date of summary: Sat Feb 21 14:44:58 2015
+<pre><code>## mkin version: 0.9.36
+## R version: 3.2.1
+## Date of fit: Sun Jun 21 01:48:03 2015
+## Date of summary: Sun Jun 21 01:48:03 2015
##
## Equations:
## d_parent = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *
@@ -898,7 +911,7 @@ plot(m.L3.DFOP)
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 137 model solutions performed in 0.346 s
+## Fitted with method Port using 137 model solutions performed in 0.35 s
##
## Weighting: none
##
@@ -919,12 +932,12 @@ plot(m.L3.DFOP)
## Fixed parameter values:
## None
##
-## Optimised, transformed parameters:
-## Estimate Std. Error Lower Upper t value Pr(&gt;|t|) Pr(&gt;t)
-## parent_0 97.7500 1.43800 93.7500 101.70000 67.970 2.808e-07 1.404e-07
-## log_k1 -0.6612 0.13340 -1.0310 -0.29100 -4.958 7.715e-03 3.858e-03
-## log_k2 -4.2860 0.05902 -4.4500 -4.12200 -72.620 2.155e-07 1.077e-07
-## g_ilr -0.1229 0.05121 -0.2651 0.01925 -2.401 7.431e-02 3.716e-02
+## Optimised, transformed parameters with symmetric confidence intervals:
+## Estimate Std. Error Lower Upper
+## parent_0 97.7500 1.43800 93.7500 101.70000
+## log_k1 -0.6612 0.13340 -1.0310 -0.29100
+## log_k2 -4.2860 0.05902 -4.4500 -4.12200
+## g_ilr -0.1229 0.05121 -0.2651 0.01925
##
## Parameter correlation:
## parent_0 log_k1 log_k2 g_ilr
@@ -936,11 +949,14 @@ plot(m.L3.DFOP)
## Residual standard error: 1.439 on 4 degrees of freedom
##
## Backtransformed parameters:
-## Estimate Lower Upper
-## parent_0 97.75000 93.75000 101.70000
-## k1 0.51620 0.35650 0.74750
-## k2 0.01376 0.01168 0.01621
-## g 0.45660 0.40730 0.50680
+## 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(&gt;t) Lower Upper
+## parent_0 97.75000 67.970 1.404e-07 93.75000 101.70000
+## k1 0.51620 7.499 8.460e-04 0.35650 0.74750
+## k2 0.01376 16.940 3.557e-05 0.01168 0.01621
+## g 0.45660 25.410 7.121e-06 0.40730 0.50680
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -984,17 +1000,17 @@ plot(m.L4.SFO)
<pre><code class="r">summary(m.L4.SFO, data = FALSE)
</code></pre>
-<pre><code>## mkin version: 0.9.35
-## R version: 3.1.2
-## Date of fit: Sat Feb 21 14:44:58 2015
-## Date of summary: Sat Feb 21 14:44:58 2015
+<pre><code>## mkin version: 0.9.36
+## R version: 3.2.1
+## Date of fit: Sun Jun 21 01:48:04 2015
+## Date of summary: Sun Jun 21 01:48:04 2015
##
## Equations:
## d_parent = - k_parent_sink * parent
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 46 model solutions performed in 0.109 s
+## Fitted with method Port using 46 model solutions performed in 0.105 s
##
## Weighting: none
##
@@ -1011,13 +1027,10 @@ plot(m.L4.SFO)
## Fixed parameter values:
## None
##
-## Optimised, transformed parameters:
-## Estimate Std. Error Lower Upper t value Pr(&gt;|t|)
-## parent_0 96.44 1.94900 91.670 101.200 49.49 4.566e-09
-## log_k_parent_sink -5.03 0.07999 -5.225 -4.834 -62.88 1.088e-09
-## Pr(&gt;t)
-## parent_0 2.283e-09
-## log_k_parent_sink 5.438e-10
+## Optimised, transformed parameters with symmetric confidence intervals:
+## Estimate Std. Error Lower Upper
+## parent_0 96.44 1.94900 91.670 101.200
+## log_k_parent_sink -5.03 0.07999 -5.225 -4.834
##
## Parameter correlation:
## parent_0 log_k_parent_sink
@@ -1027,9 +1040,12 @@ plot(m.L4.SFO)
## Residual standard error: 3.651 on 6 degrees of freedom
##
## Backtransformed parameters:
-## Estimate Lower Upper
-## parent_0 96.440000 91.670000 1.012e+02
-## k_parent_sink 0.006541 0.005378 7.955e-03
+## 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(&gt;t) Lower Upper
+## parent_0 96.440000 49.49 2.283e-09 91.670000 1.012e+02
+## k_parent_sink 0.006541 12.50 8.008e-06 0.005378 7.955e-03
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -1059,17 +1075,17 @@ plot(m.L4.FOMC)
<pre><code class="r">summary(m.L4.FOMC, data = FALSE)
</code></pre>
-<pre><code>## mkin version: 0.9.35
-## R version: 3.1.2
-## Date of fit: Sat Feb 21 14:44:58 2015
-## Date of summary: Sat Feb 21 14:44:58 2015
+<pre><code>## mkin version: 0.9.36
+## R version: 3.2.1
+## Date of fit: Sun Jun 21 01:48:04 2015
+## Date of summary: Sun Jun 21 01:48:04 2015
##
## Equations:
-## d_parent = - (alpha/beta) * ((time/beta) + 1)^-1 * parent
+## d_parent = - (alpha/beta) * 1/((time/beta) + 1) * parent
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 66 model solutions performed in 0.161 s
+## Fitted with method Port using 66 model solutions performed in 0.159 s
##
## Weighting: none
##
@@ -1088,11 +1104,11 @@ plot(m.L4.FOMC)
## Fixed parameter values:
## None
##
-## Optimised, transformed parameters:
-## Estimate Std. Error Lower Upper t value Pr(&gt;|t|) Pr(&gt;t)
-## parent_0 99.1400 1.6800 94.820 103.5000 59.0200 2.643e-08 1.322e-08
-## log_alpha -0.3506 0.3725 -1.308 0.6068 -0.9414 3.897e-01 1.949e-01
-## log_beta 4.1740 0.5635 2.726 5.6230 7.4070 7.059e-04 3.530e-04
+## Optimised, transformed parameters with symmetric confidence intervals:
+## Estimate Std. Error Lower Upper
+## parent_0 99.1400 1.6800 94.820 103.5000
+## log_alpha -0.3506 0.3725 -1.308 0.6068
+## log_beta 4.1740 0.5635 2.726 5.6230
##
## Parameter correlation:
## parent_0 log_alpha log_beta
@@ -1103,10 +1119,13 @@ plot(m.L4.FOMC)
## Residual standard error: 2.315 on 5 degrees of freedom
##
## Backtransformed parameters:
-## Estimate Lower Upper
-## parent_0 99.1400 94.8200 103.500
-## alpha 0.7042 0.2703 1.835
-## beta 64.9800 15.2600 276.600
+## 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(&gt;t) Lower Upper
+## parent_0 99.1400 59.020 1.322e-08 94.8200 103.500
+## alpha 0.7042 2.685 2.178e-02 0.2703 1.835
+## beta 64.9800 1.775 6.807e-02 15.2600 276.600
##
## Chi2 error levels in percent:
## err.min n.optim df

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