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author | Johannes Ranke <jranke@uni-bremen.de> | 2022-09-16 21:31:32 +0200 |
---|---|---|
committer | Johannes Ranke <jranke@uni-bremen.de> | 2022-09-16 21:31:32 +0200 |
commit | 062a1be18677a4e83a64d23622b5214258d9bc7d (patch) | |
tree | 9f137063546d30eb0bb4c6002b86e77751091df5 | |
parent | fd205e13061de8abc595d266f3b0c7650773d442 (diff) |
Add llhist to the multistart vignette
-rw-r--r-- | docs/dev/articles/web_only/multistart.html | 8 | ||||
-rw-r--r-- | docs/dev/articles/web_only/multistart_files/figure-html/unnamed-chunk-4-1.png | bin | 0 -> 39793 bytes | |||
-rw-r--r-- | docs/dev/pkgdown.yml | 2 | ||||
-rw-r--r-- | vignettes/web_only/multistart.html | 3 | ||||
-rw-r--r-- | vignettes/web_only/multistart.rmd | 11 |
5 files changed, 23 insertions, 1 deletions
diff --git a/docs/dev/articles/web_only/multistart.html b/docs/dev/articles/web_only/multistart.html index a119a0d6..b3108120 100644 --- a/docs/dev/articles/web_only/multistart.html +++ b/docs/dev/articles/web_only/multistart.html @@ -63,6 +63,9 @@ <a href="../../articles/web_only/dimethenamid_2018.html">Example evaluations of dimethenamid data from 2018 with nonlinear mixed-effects models</a> </li> <li> + <a href="../../articles/web_only/multistart.html">Short demo of the multistart method</a> + </li> + <li> <a href="../../articles/web_only/compiled_models.html">Performance benefit by using compiled model definitions in mkin</a> </li> <li> @@ -140,6 +143,11 @@ <span><span class="va">f_saem_reduced_multi</span> <span class="op"><-</span> <span class="fu"><a href="../../reference/multistart.html">multistart</a></span><span class="op">(</span><span class="va">f_saem_reduced</span>, n <span class="op">=</span> <span class="fl">16</span>, cores <span class="op">=</span> <span class="fl">16</span><span class="op">)</span></span> <span><span class="fu"><a href="../../reference/parhist.html">parhist</a></span><span class="op">(</span><span class="va">f_saem_reduced_multi</span>, lpos <span class="op">=</span> <span class="st">"bottomright"</span><span class="op">)</span></span></code></pre></div> <p><img src="multistart_files/figure-html/unnamed-chunk-3-1.png" width="700"></p> +<p>We can also analyse the log-likelihoods obtained in the multiple runs:</p> +<div class="sourceCode" id="cb4"><pre class="downlit sourceCode r"> +<code class="sourceCode R"><span><span class="fu"><a href="../../reference/llhist.html">llhist</a></span><span class="op">(</span><span class="va">f_saem_reduced_multi</span><span class="op">)</span></span></code></pre></div> +<p><img src="multistart_files/figure-html/unnamed-chunk-4-1.png" width="700"></p> +<p>The one run with the lower likelihood is probably responsible for the outliers in the boxplots above, and caused by some weird starting value combination. In any case, the converged values from the original fit (red circles) appear perfectly acceptable, supporting the choice of starting values made by mkin.</p> </div> <div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar"> diff --git a/docs/dev/articles/web_only/multistart_files/figure-html/unnamed-chunk-4-1.png b/docs/dev/articles/web_only/multistart_files/figure-html/unnamed-chunk-4-1.png Binary files differnew file mode 100644 index 00000000..957c2457 --- /dev/null +++ b/docs/dev/articles/web_only/multistart_files/figure-html/unnamed-chunk-4-1.png diff --git a/docs/dev/pkgdown.yml b/docs/dev/pkgdown.yml index 6cd0f89b..c9b168a6 100644 --- a/docs/dev/pkgdown.yml +++ b/docs/dev/pkgdown.yml @@ -12,7 +12,7 @@ articles: compiled_models: web_only/compiled_models.html dimethenamid_2018: web_only/dimethenamid_2018.html multistart: web_only/multistart.html -last_built: 2022-09-16T19:00Z +last_built: 2022-09-16T19:23Z urls: reference: https://pkgdown.jrwb.de/mkin/reference article: https://pkgdown.jrwb.de/mkin/articles diff --git a/vignettes/web_only/multistart.html b/vignettes/web_only/multistart.html index ab1b768d..004b62be 100644 --- a/vignettes/web_only/multistart.html +++ b/vignettes/web_only/multistart.html @@ -391,6 +391,9 @@ parhist(f_saem_full_multi, lpos = "bottomright")</code></pre> f_saem_reduced_multi <- multistart(f_saem_reduced, n = 16, cores = 16) parhist(f_saem_reduced_multi, lpos = "bottomright")</code></pre> <p><img 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" width="672" /></p> +<p>We can also analyse the log-likelihoods obtained in the multiple runs</p> +<pre class="r"><code>llhist(f_saem_reduced_multi)</code></pre> +<p><img 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width="672" /></p> diff --git a/vignettes/web_only/multistart.rmd b/vignettes/web_only/multistart.rmd index 5f109f3d..a25b73ce 100644 --- a/vignettes/web_only/multistart.rmd +++ b/vignettes/web_only/multistart.rmd @@ -46,3 +46,14 @@ f_saem_reduced <- update(f_saem_full, covariance.model = diag(c(1, 1, 0, 1))) f_saem_reduced_multi <- multistart(f_saem_reduced, n = 16, cores = 16) parhist(f_saem_reduced_multi, lpos = "bottomright") ``` + +We can also analyse the log-likelihoods obtained in the multiple runs: + +```{r} +llhist(f_saem_reduced_multi) +``` + +The one run with the lower likelihood is probably responsible for the outliers +in the boxplots above, and caused by some weird starting value combination. In +any case, the converged values from the original fit (red circles) appear +perfectly acceptable, supporting the choice of starting values made by mkin. |