diff options
Diffstat (limited to 'docs/reference/lod.html')
| -rw-r--r-- | docs/reference/lod.html | 89 |
1 files changed, 53 insertions, 36 deletions
diff --git a/docs/reference/lod.html b/docs/reference/lod.html index b9c30e6..13ce70a 100644 --- a/docs/reference/lod.html +++ b/docs/reference/lod.html @@ -18,19 +18,35 @@ <!-- Font Awesome icons --> <link href="https://maxcdn.bootstrapcdn.com/font-awesome/4.6.3/css/font-awesome.min.css" rel="stylesheet" integrity="sha384-T8Gy5hrqNKT+hzMclPo118YTQO6cYprQmhrYwIiQ/3axmI1hQomh7Ud2hPOy8SP1" crossorigin="anonymous"> +<!-- clipboard.js --> +<script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/1.7.1/clipboard.min.js" integrity="sha384-cV+rhyOuRHc9Ub/91rihWcGmMmCXDeksTtCihMupQHSsi8GIIRDG0ThDc3HGQFJ3" crossorigin="anonymous"></script> <!-- pkgdown --> <link href="../pkgdown.css" rel="stylesheet"> <script src="../jquery.sticky-kit.min.js"></script> <script src="../pkgdown.js"></script> + + +<meta property="og:title" content="Estimate a limit of detection (LOD) — lod" /> +<meta property="og:description" content="The decision limit (German: Nachweisgrenze) is defined as the signal or + analyte concentration that is significantly different from the blank signal + with a first order error alpha (one-sided significance test). + The detection limit, or more precise, the minimum detectable value + (German: Erfassungsgrenze), is then defined as the signal or analyte + concentration where the probability that the signal is not detected although + the analyte is present (type II or false negative error), is beta (also a + one-sided significance test)." /> +<meta name="twitter:card" content="summary" /> <!-- mathjax --> -<script src='https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML'></script> +<script src='https://mathjax.rstudio.com/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML'></script> <!--[if lt IE 9]> <script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script> <script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script> <![endif]--> + + </head> <body> @@ -83,45 +99,46 @@ one-sided significance test).</p> - <pre>lod(object, …, alpha = 0.05, beta = 0.05, method = "default", tol = "default")</pre> + <pre class="usage">lod(object, …, alpha = 0.05, beta = 0.05, method = "default", 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. - </dd> - <dt>…</dt> - <dd> - Placeholder for further arguments that might be needed by - future implementations. - </dd> - <dt>alpha</dt> - <dd> - The error tolerance for the decision limit (critical value). - </dd> - <dt>beta</dt> - <dd> - The error tolerance beta for the detection limit. - </dd> - <dt>method</dt> - <dd> - The “default” method uses a prediction interval at the LOD + optionally from a weighted regression.</p></td> + </tr> + <tr> + <th>…</th> + <td><p>Placeholder for further arguments that might be needed by + future implementations.</p></td> + </tr> + <tr> + <th>alpha</th> + <td><p>The error tolerance for the decision limit (critical value).</p></td> + </tr> + <tr> + <th>beta</th> + <td><p>The error tolerance beta for the detection limit.</p></td> + </tr> + <tr> + <th>method</th> + <td><p>The “default” method uses a prediction interval at the LOD for the estimation of the LOD, which obviously requires iteration. This is described for example in Massart, p. 432 ff. The “din” method uses the prediction interval at - x = 0 as an approximation. - </dd> - <dt>tol</dt> - <dd> - When the “default” method is used, the default tolerance + x = 0 as an approximation.</p></td> + </tr> + <tr> + <th>tol</th> + <td><p>When the “default” method is used, the default tolerance for the LOD 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> + divided by 1000. Can be set to a numeric value to override this.</p></td> + </tr> + </table> <h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2> @@ -143,16 +160,16 @@ <p>Massart, L.M, Vandenginste, B.G.M., Buydens, L.M.C., De Jong, S., Lewi, P.J., Smeyers-Verbeke, J. (1997) Handbook of Chemometrics and Qualimetrics: Part A, Chapter 13.7.8</p> - <p>J. Inczedy, T. Lengyel, and A.M. Ure (2002) International Union of Pure and +<p>J. Inczedy, T. Lengyel, and A.M. Ure (2002) International Union of Pure and Applied Chemistry Compendium of Analytical Nomenclature: Definitive Rules. Web edition.</p> - <p>Currie, L. A. (1997) Nomenclature in evaluation of analytical methods including +<p>Currie, L. A. (1997) Nomenclature in evaluation of analytical methods including detection and quantification capabilities (IUPAC Recommendations 1995). Analytica Chimica Acta 391, 105 - 126.</p> <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> @@ -200,7 +217,7 @@ </div> <div class="pkgdown"> - <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> </div> </footer> |