diff options
Diffstat (limited to 'inst/web/loq.html')
| -rw-r--r-- | inst/web/loq.html | 189 |
1 files changed, 189 insertions, 0 deletions
diff --git a/inst/web/loq.html b/inst/web/loq.html new file mode 100644 index 0000000..dd03523 --- /dev/null +++ b/inst/web/loq.html @@ -0,0 +1,189 @@ +<!DOCTYPE html> +<html lang="en"> + <head> + <meta charset="utf-8"> +<title>loq. chemCal 0.1-35.900</title> +<meta name="viewport" content="width=device-width, initial-scale=1.0"> +<meta name="author" content=""> + +<link href="css/bootstrap.css" rel="stylesheet"> +<link href="css/bootstrap-responsive.css" rel="stylesheet"> +<link href="css/highlight.css" rel="stylesheet"> +<link href="css/staticdocs.css" rel="stylesheet"> + +<!--[if lt IE 9]> + <script src="http://html5shim.googlecode.com/svn/trunk/html5.js"></script> +<![endif]--> + +<script type="text/x-mathjax-config"> + MathJax.Hub.Config({ + tex2jax: { + inlineMath: [ ['$','$'], ["\\(","\\)"] ], + processEscapes: true + } + }); +</script> +<script type="text/javascript" + src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"> +</script> + </head> + + <body> + <div class="navbar"> + <div class="navbar-inner"> + <div class="container"> + <a class="brand" href="#">chemCal 0.1-35.900</a> + <div class="nav"> + <ul class="nav"> + <li><a href="index.html"><i class="icon-home icon-white"></i> Index</a></li> + </ul> + </div> + </div> + </div> +</div> + + <div class="container"> + <header> + + </header> + + <h1>Estimate a limit of quantification (LOQ)</h1> + +<div class="row"> + <div class="span8"> + <h2>Usage</h2> + <pre><div>loq(object, ..., alpha = 0.05, k = 3, n = 1, w.loq = "auto", var.loq = "auto", tol = "default")</div></pre> + + <h2>Arguments</h2> + <dl> + <dt>object</dt> + <dd> + A univariate model object of class <code><a href='http://www.inside-r.org/r-doc/stats/lm'>lm</a></code> or + <code><a href='http://www.inside-r.org/r-doc/MASS/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>...</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 + 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 + 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 + smallest non-zero standard divided by 1000. Can be set to a + numeric value to override this. + </dd> + </dl> + + <div class="Value"> + <h2>Value</h2> + + <p><dl> + The estimated limit of quantification for a model used for calibration. +</dl></p> + + </div> + + <div class="Description"> + <h2>Description</h2> + + <p>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 + <code><a href='inverse.predict.html'>inverse.predict</a></code>, and L is obtained by iteration.</p> + + </div> + + <div class="Note"> + <h2>Note</h2> + + <p>- IUPAC recommends to base the LOQ on the standard deviation of the signal + where x = 0. + - The calculation of a LOQ based on weighted regression is non-standard + and therefore not tested. Feedback is welcome.</p> + + </div> + + <h2 id="examples">Examples</h2> + <pre class="examples"><div class='input'>data(massart97ex3) +attach(massart97ex3) +m <- lm(y ~ x) +loq(m) +</div> +<div class='output'>$x +[1] 13.97764 + +$y + 1 +30.6235 + +</div> +<div class='input'> +# We can get better by using replicate measurements +loq(m, n = 3) +</div> +<div class='output'>$x +[1] 9.971963 + +$y + 1 +22.68539 + +</div></pre> + </div> + <div class="span4"> + <!-- <ul> + <li>loq</li><li>loq.lm</li><li>loq.rlm</li><li>loq.default</li> + </ul> + <ul> + <li>manip</li> + </ul> --> + + <h2>See also</h2> + + Examples for <code><a href='din32645.html'>din32645</a></code> + + + </div> +</div> + + <footer> + <p class="pull-right"><a href="#">Back to top</a></p> +<p>Built by <a href="https://github.com/hadley/staticdocs">staticdocs</a>. Styled with <a href="http://twitter.github.com/bootstrap">bootstrap</a>.</p> + </footer> + </div> + </body> +</html>
\ No newline at end of file |