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authorJohannes Ranke <jranke@uni-bremen.de>2018-03-01 10:35:09 +0100
committerJohannes Ranke <jranke@uni-bremen.de>2018-03-01 10:35:09 +0100
commit966da79af48c371c05dd8011702ef2bd3b1d1e03 (patch)
treef14a97f3d7ee962031af9c41a4bbe5d7391a9f85 /docs/reference/loq.html
parentb7e28fd4357d7ba353be74ba5c53550fb54d3a8a (diff)
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+<meta property="og:title" content="Estimate a limit of quantification (LOQ) — loq" />
+<meta property="og:description" content="The limit of quantification is the x value, where the relative error
+ of the quantification given the calibration model reaches a prespecified
+ value 1/k. Thus, it is the solution of the equation
+ $$L = k c(L)$$
+ where c(L) is half of the length of the confidence interval at the limit L
+ (DIN 32645, equivalent to ISO 11843). c(L) is internally estimated by
+ inverse.predict, and L is obtained by iteration." />
+<meta name="twitter:card" content="summary" />
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@@ -79,62 +94,63 @@
$$L = k c(L)$$
where c(L) is half of the length of the confidence interval at the limit L
(DIN 32645, equivalent to ISO 11843). c(L) is internally estimated by
- <code><a href='inverse.predict.html'>inverse.predict</a></code>, and L is obtained by iteration.</p>
+ <code>inverse.predict</code>, and L is obtained by iteration.</p>
- <pre>loq(object, &#8230;, alpha = 0.05, k = 3, n = 1, w.loq = "auto",
+ <pre class="usage">loq(object, &#8230;, alpha = 0.05, k = 3, n = 1, w.loq = "auto",
var.loq = "auto", tol = "default")</pre>
<h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a> Arguments</h2>
- <dl class="dl-horizontal">
- <dt>object</dt>
- <dd>
- A univariate model object of class <code>lm</code> or
+ <table class="ref-arguments">
+ <colgroup><col class="name" /><col class="desc" /></colgroup>
+ <tr>
+ <th>object</th>
+ <td><p>A univariate model object of class <code>lm</code> or
<code><a href='http://www.rdocumentation.org/packages/MASS/topics/rlm'>rlm</a></code>
with model formula <code>y ~ x</code> or <code>y ~ x - 1</code>,
optionally from a weighted regression. If weights are specified
in the model, either <code>w.loq</code> or <code>var.loq</code> have to
- be specified.
- </dd>
- <dt>alpha</dt>
- <dd>
- The error tolerance for the prediction of x values in the calculation.
- </dd>
- <dt>&#8230;</dt>
- <dd>
- Placeholder for further arguments that might be needed by
- future implementations.
- </dd>
- <dt>k</dt>
- <dd>
- The inverse of the maximum relative error tolerated at the
- desired LOQ.
- </dd>
- <dt>n</dt>
- <dd>
- The number of replicate measurements for which the LOQ should be
- specified.
- </dd>
- <dt>w.loq</dt>
- <dd>
- The weight that should be attributed to the LOQ. Defaults
+ be specified.</p></td>
+ </tr>
+ <tr>
+ <th>alpha</th>
+ <td><p>The error tolerance for the prediction of x values in the calculation.</p></td>
+ </tr>
+ <tr>
+ <th>&#8230;</th>
+ <td><p>Placeholder for further arguments that might be needed by
+ future implementations.</p></td>
+ </tr>
+ <tr>
+ <th>k</th>
+ <td><p>The inverse of the maximum relative error tolerated at the
+ desired LOQ.</p></td>
+ </tr>
+ <tr>
+ <th>n</th>
+ <td><p>The number of replicate measurements for which the LOQ should be
+ specified.</p></td>
+ </tr>
+ <tr>
+ <th>w.loq</th>
+ <td><p>The weight that should be attributed to the LOQ. Defaults
to one for unweighted regression, and to the mean of the weights
- for weighted regression. See <code><a href='massart97ex3.html'>massart97ex3</a></code> for
+ for weighted regression. See <code>massart97ex3</code> for
an example how to take advantage of knowledge about the
- variance function.
- </dd>
- <dt>var.loq</dt>
- <dd>
- The approximate variance at the LOQ. The default value is
- calculated from the model.
- </dd>
- <dt>tol</dt>
- <dd>
- The default tolerance for the LOQ on the x scale is the value of the
+ variance function.</p></td>
+ </tr>
+ <tr>
+ <th>var.loq</th>
+ <td><p>The approximate variance at the LOQ. The default value is
+ calculated from the model.</p></td>
+ </tr>
+ <tr>
+ <th>tol</th>
+ <td><p>The default tolerance for the LOQ on the x scale is the value of the
smallest non-zero standard divided by 1000. Can be set to a
- numeric value to override this.
- </dd>
- </dl>
+ numeric value to override this.</p></td>
+ </tr>
+ </table>
<h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2>
@@ -149,7 +165,7 @@
<h2 class="hasAnchor" id="see-also"><a class="anchor" href="#see-also"></a>See also</h2>
- <p>Examples for <code><a href='din32645.html'>din32645</a></code></p>
+ <p>Examples for <code>din32645</code></p>
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
@@ -195,7 +211,7 @@
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- <p>Site built with <a href="http://hadley.github.io/pkgdown/">pkgdown</a>.</p>
+ <p>Site built with <a href="http://pkgdown.r-lib.org/">pkgdown</a>.</p>
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