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data-search-index="../search.json" id="search-input" placeholder="Search for" autocomplete="off"></form> + + <ul class="navbar-nav"><li class="nav-item"> + <a class="external-link nav-link" href="https://github.com/jranke/mkin/" aria-label="github"> + <span class="fab fa fab fa-github fa-lg"></span> </a> </li> - </ul></div><!--/.nav-collapse --> - </div><!--/.container --> -</div><!--/.navbar --> - - - - </header><div class="row"> - <div class="col-md-9 contents"> - <div class="page-header"> - <h1>Two-component error model</h1> - <small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/R/sigma_twocomp.R" class="external-link"><code>R/sigma_twocomp.R</code></a></small> - <div class="hidden name"><code>sigma_twocomp.Rd</code></div> + </ul></div> + + + </div> +</nav><div class="container template-reference-topic"> +<div class="row"> + <main id="main" class="col-md-9"><div class="page-header"> + <img src="" class="logo" alt=""><h1>Two-component error model</h1> + <small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/R/sigma_twocomp.R" class="external-link"><code>R/sigma_twocomp.R</code></a></small> + <div class="d-none name"><code>sigma_twocomp.Rd</code></div> </div> - <div class="ref-description"> + <div class="ref-description section level2"> <p>Function describing the standard deviation of the measurement error in dependence of the measured value \(y\):</p> </div> - <div id="ref-usage"> + <div class="section level2"> + <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage"></a></h2> <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">sigma_twocomp</span><span class="op">(</span><span class="va">y</span>, <span class="va">sigma_low</span>, <span class="va">rsd_high</span><span class="op">)</span></span></code></pre></div> </div> - <div id="arguments"> - <h2>Arguments</h2> + <div class="section level2"> + <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2> <dl><dt>y</dt> <dd><p>The magnitude of the observed value</p></dd> @@ -134,14 +101,14 @@ observed values</p></dd> deviation with the magnitude of the observed value</p></dd> </dl></div> - <div id="value"> - <h2>Value</h2> + <div class="section level2"> + <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2> <p>The standard deviation of the response variable.</p> </div> - <div id="details"> - <h2>Details</h2> + <div class="section level2"> + <h2 id="details">Details<a class="anchor" aria-label="anchor" href="#details"></a></h2> <p>$$\sigma = \sqrt{ \sigma_{low}^2 + y^2 * {rsd}_{high}^2}$$ sigma = sqrt(sigma_low^2 + y^2 * rsd_high^2)</p> <p>This is the error model used for example by Werner et al. (1978). The model @@ -149,8 +116,8 @@ proposed by Rocke and Lorenzato (1995) can be written in this form as well, but assumes approximate lognormal distribution of errors for high values of y.</p> </div> - <div id="references"> - <h2>References</h2> + <div class="section level2"> + <h2 id="references">References<a class="anchor" aria-label="anchor" href="#references"></a></h2> <p>Werner, Mario, Brooks, Samuel H., and Knott, Lancaster B. (1978) Additive, Multiplicative, and Mixed Analytical Errors. Clinical Chemistry 24(11), 1895-1898.</p> @@ -162,8 +129,8 @@ Degradation Data. <em>Environments</em> 6(12) 124 .</p> </div> - <div id="ref-examples"> - <h2>Examples</h2> + <div class="section level2"> + <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-examples"></a></h2> <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="va">times</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>, <span class="fl">1</span>, <span class="fl">3</span>, <span class="fl">7</span>, <span class="fl">14</span>, <span class="fl">28</span>, <span class="fl">60</span>, <span class="fl">90</span>, <span class="fl">120</span><span class="op">)</span></span></span> <span class="r-in"><span><span class="va">d_pred</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/data.frame.html" class="external-link">data.frame</a></span><span class="op">(</span>time <span class="op">=</span> <span class="va">times</span>, parent <span class="op">=</span> <span class="fl">100</span> <span class="op">*</span> <span class="fu"><a href="https://rdrr.io/r/base/Log.html" class="external-link">exp</a></span><span class="op">(</span><span class="op">-</span> <span class="fl">0.03</span> <span class="op">*</span> <span class="va">times</span><span class="op">)</span><span class="op">)</span></span></span> <span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/Random.html" class="external-link">set.seed</a></span><span class="op">(</span><span class="fl">123456</span><span class="op">)</span></span></span> @@ -193,26 +160,22 @@ Degradation Data. <em>Environments</em> 6(12) 124 <span class="r-out co"><span class="r-pr">#></span> f_mkin_tc 4 101.6446</span> </code></pre></div> </div> - </div> - <div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar"> - <nav id="toc" data-toggle="toc" class="sticky-top"><h2 data-toc-skip>Contents</h2> - </nav></div> -</div> + </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2> + </nav></aside></div> - <footer><div class="copyright"> + <footer><div class="pkgdown-footer-left"> <p></p><p>Developed by Johannes Ranke.</p> </div> -<div class="pkgdown"> +<div class="pkgdown-footer-right"> <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.7.</p> </div> - </footer></div> + </footer></div> - </body></html> |