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authorJohannes Ranke <jranke@uni-bremen.de>2018-07-18 15:18:30 +0200
committerJohannes Ranke <jranke@uni-bremen.de>2018-07-18 15:58:46 +0200
commit0b98c459c30a0629a728acf6b311de035c55fb64 (patch)
treef146faf4802da38862aa14b0268265f3fad9ba34 /docs/reference/sigma_twocomp.html
parentd3ed95f2a0a43ed74b02ea90e35d043ed4e1e72f (diff)
Correct references to the Rocke and Lorenzato model
Rename 'sigma_rl' to 'sigma_twocomp' as the Rocke and Lorenzato model assumes lognormal distribution for large y. Rebuild static documentation.
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+<meta property="og:description" content="Function describing the standard deviation of the measurement error
+ in dependence of the measured value \(y\):
+$$\sigma = \sqrt{ \sigma_{low}^2 + y^2 * {rsd}_{high}^2}$$
+This is the error model used for example by Werner et al. (1978). The model
+ 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." />
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+ <h1>Two component error model</h1>
+
+ <div class="hidden name"><code>sigma_twocomp.Rd</code></div>
+ </div>
+
+ <div class="ref-description">
+
+ <p>Function describing the standard deviation of the measurement error
+ in dependence of the measured value \(y\):</p>
+<p>$$\sigma = \sqrt{ \sigma_{low}^2 + y^2 * {rsd}_{high}^2}$$</p>
+<p>This is the error model used for example by Werner et al. (1978). The model
+ 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>
+
+ <pre class="usage"><span class='fu'>sigma_twocomp</span>(<span class='no'>y</span>, <span class='no'>sigma_low</span>, <span class='no'>rsd_high</span>)</pre>
+
+ <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
+ <table class="ref-arguments">
+ <colgroup><col class="name" /><col class="desc" /></colgroup>
+ <tr>
+ <th>y</th>
+ <td><p>The magnitude of the observed value</p></td>
+ </tr>
+ <tr>
+ <th>sigma_low</th>
+ <td><p>The asymptotic minimum of the standard deviation for low observed values</p></td>
+ </tr>
+ <tr>
+ <th>rsd_high</th>
+ <td><p>The coefficient describing the increase of the standard deviation with
+ the magnitude of the observed value</p></td>
+ </tr>
+ </table>
+
+ <h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2>
+
+ <p>The standard deviation of the response variable.</p>
+
+ <h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>References</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>
+<p>Rocke, David M. and Lorenzato, Stefan (1995) A two-component model for
+ measurement error in analytical chemistry. Technometrics 37(2), 176-184.</p>
+
+
+ </div>
+ <div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
+ <h2>Contents</h2>
+ <ul class="nav nav-pills nav-stacked">
+ <li><a href="#arguments">Arguments</a></li>
+
+ <li><a href="#value">Value</a></li>
+
+ <li><a href="#references">References</a></li>
+ </ul>
+
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