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author | Johannes Ranke <jranke@uni-bremen.de> | 2017-03-06 17:00:48 +0100 |
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committer | Johannes Ranke <jranke@uni-bremen.de> | 2017-03-06 17:00:48 +0100 |
commit | 73e650114af77582238abf5273e63005e0b2287e (patch) | |
tree | e0effa0124a713738c850aa47acc54d1b82318d8 /docs | |
parent | fcb3332b7b186639cce940696057a2b6dd2c5cca (diff) |
Static documentation now built by pkgdown::build_site()
Diffstat (limited to 'docs')
40 files changed, 2093 insertions, 9232 deletions
diff --git a/docs/articles/chemCal.Rnw b/docs/articles/chemCal.Rnw new file mode 100644 index 0000000..30e0331 --- /dev/null +++ b/docs/articles/chemCal.Rnw @@ -0,0 +1,130 @@ +\documentclass[a4paper]{article} +%\VignetteIndexEntry{Short manual for the chemCal package} +\usepackage{hyperref} + +\title{Basic calibration functions for analytical chemistry} +\author{Johannes Ranke} + +\begin{document} +\maketitle + +The \texttt{chemCal} package was first designed in the course of a lecture and lab +course on "analytics of organic trace contaminants" at the University of Bremen +from October to December 2004. In the fall 2005, an email exchange with +Ron Wehrens led to the belief that it would be desirable to implement the +inverse prediction method given in \cite{massart97} since it also covers the +case of weighted regression. Studies of the IUPAC orange book and of DIN 32645 +as well as publications by Currie and the Analytical Method Committee of the +Royal Society of Chemistry and a nice paper by Castillo and Castells provided +further understanding of the matter. + +At the moment, the package consists of four functions, working on univariate +linear models of class \texttt{lm} or \texttt{rlm}, plus to datasets for +validation. + +A \href{http://bugs.r-project.org/bugzilla3/show_bug.cgi?id=8877}{bug +report (PR\#8877)} and the following e-mail exchange on the r-devel mailing list about +prediction intervals from weighted regression entailed some further studies +on this subject. However, I did not encounter any proof or explanation of the +formula cited below yet, so I can't really confirm that Massart's method is correct. + +When calibrating an analytical method, the first task is to generate a suitable +model. If we want to use the \texttt{chemCal} functions, we will have to restrict +ourselves to univariate, possibly weighted, linear regression so far. + +Once such a model has been created, the calibration can be graphically +shown by using the \texttt{calplot} function: + +<<echo=TRUE,fig=TRUE>>= +library(chemCal) +data(massart97ex3) +m0 <- lm(y ~ x, data = massart97ex3) +calplot(m0) +@ + +As we can see, the scatter increases with increasing x. This is also +illustrated by one of the diagnostic plots for linear models +provided by R: + +<<echo=TRUE,fig=TRUE>>= +plot(m0,which=3) +@ + +Therefore, in Example 8 in \cite{massart97} weighted regression +is proposed which can be reproduced by + +<<>>= +attach(massart97ex3) +yx <- split(y, x) +ybar <- sapply(yx, mean) +s <- round(sapply(yx, sd), digits = 2) +w <- round(1 / (s^2), digits = 3) +weights <- w[factor(x)] +m <- lm(y ~ x, w = weights) +@ + +If we now want to predict a new x value from measured y values, +we use the \texttt{inverse.predict} function: + +<<>>= +inverse.predict(m, 15, ws=1.67) +inverse.predict(m, 90, ws = 0.145) +@ + +The weight \texttt{ws} assigned to the measured y value has to be +given by the user in the case of weighted regression, or alternatively, +the approximate variance \texttt{var.s} at this location. + +\section*{Theory for \texttt{inverse.predict}} +Equation 8.28 in \cite{massart97} gives a general equation for predicting the +standard error $s_{\hat{x_s}}$ for an x value predicted from measurements of y +according to the linear calibration function $ y = b_0 + b_1 \cdot x$: + +\begin{equation} +s_{\hat{x_s}} = \frac{s_e}{b_1} \sqrt{\frac{1}{w_s m} + \frac{1}{\sum{w_i}} + + \frac{(\bar{y_s} - \bar{y_w})^2 \sum{w_i}} + {{b_1}^2 \left( \sum{w_i} \sum{w_i {x_i}^2} - + {\left( \sum{ w_i x_i } \right)}^2 \right) }} +\end{equation} + +with + +\begin{equation} +s_e = \sqrt{ \frac{\sum w_i (y_i - \hat{y_i})^2}{n - 2}} +\end{equation} + +where $w_i$ is the weight for calibration standard $i$, $y_i$ is the mean $y$ +value (!) observed for standard $i$, $\hat{y_i}$ is the estimated value for +standard $i$, $n$ is the number calibration standards, $w_s$ is the weight +attributed to the sample $s$, $m$ is the number of replicate measurements of +sample $s$, $\bar{y_s}$ is the mean response for the sample, +$\bar{y_w} = \frac{\sum{w_i y_i}}{\sum{w_i}}$ is the weighted mean of responses +$y_i$, and $x_i$ is the given $x$ value for standard $i$. + +The weight $w_s$ for the sample should be estimated or calculated in accordance +to the weights used in the linear regression. + +I adjusted the above equation in order to be able to take a different +precisions in standards and samples into account. In analogy to Equation 8.26 +from \cite{massart97} we get + +\begin{equation} +s_{\hat{x_s}} = \frac{1}{b_1} \sqrt{\frac{{s_s}^2}{w_s m} + + {s_e}^2 \left( \frac{1}{\sum{w_i}} + + \frac{(\bar{y_s} - \bar{y_w})^2 \sum{w_i}} + {{b_1}^2 \left( \sum{w_i} \sum{w_i {x_i}^2} - {\left( \sum{ w_i x_i } \right)}^2 \right) } \right) } +\end{equation} + +where I interpret $\frac{{s_s}^2}{w_s}$ as an estimator of the variance at location +$\hat{x_s}$, which can be replaced by a user-specified value using the argument +\texttt{var.s} of the function \texttt{inverse.predict}. + +\begin{thebibliography}{1} +\bibitem{massart97} +Massart, L.M, Vandenginste, B.G.M., Buydens, L.M.C., De Jong, S., Lewi, P.J., +Smeyers-Verbeke, J. +\newblock Handbook of Chemometrics and Qualimetrics: Part A, +\newblock Elsevier, Amsterdam, 1997 +\end{thebibliography} + +\end{document} diff --git a/docs/articles/index.html b/docs/articles/index.html new file mode 100644 index 0000000..5c6fdad --- /dev/null +++ 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Author, maintainer, copyright holder. + </p> + </li> + </ul> + + </div> + +</div> + + + <footer> + <div class="copyright"> + <p>Developed by Johannes Ranke.</p> +</div> + +<div class="pkgdown"> + <p>Site built with <a href="http://hadley.github.io/pkgdown/">pkgdown</a>.</p> +</div> + + </footer> + </div> + + </body> +</html> diff --git a/docs/calplot.lm.html b/docs/calplot.lm.html deleted file mode 100644 index 07cacd8..0000000 --- a/docs/calplot.lm.html +++ /dev/null @@ -1,169 +0,0 @@ -<!DOCTYPE html> -<html lang="en"> - <head> - <meta charset="utf-8"> -<title>calplot. chemCal 0.1-37</title> -<meta name="viewport" content="width=device-width, initial-scale=1.0"> -<meta name="author" content=" - Johannes Ranke - <a href='mailto:jranke@uni-bremen.de'>jranke@uni-bremen.de</a> - <a href = 'http://www.uft.uni-bremen.de/chemie/ranke'>http://www.uft.uni-bremen.de/chemie/ranke</a> -"> - -<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="index.html">chemCal 0.1-37</a> - <div class="nav"> - <ul class="nav"> - <li><a href="index.html">Home</a></li> - <li><a href="reference.html">Reference</a></li> - </ul> - </div> - </div> - </div> -</div> - - - <div class="container"> - <header> - - </header> - - <h1>Plot calibration graphs from univariate linear models</h1> - -<div class="row"> - <div class="span8"> - <h2>Usage</h2> - <pre><span class="functioncall"><a href='calplot.lm.html'>calplot</a></span><span class="keyword">(</span><span class="symbol">object</span><span class="keyword">,</span> <span class="argument">xlim</span> <span class="argument">=</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/c'>c</a></span><span class="keyword">(</span><span class="string">"auto"</span><span class="keyword">,</span> <span class="string">"auto"</span><span class="keyword">)</span><span class="keyword">,</span> <span class="argument">ylim</span> <span class="argument">=</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/c'>c</a></span><span class="keyword">(</span><span class="string">"auto"</span><span class="keyword">,</span> <span class="string">"auto"</span><span class="keyword">)</span><span class="keyword">,</span> - <span class="argument">xlab</span> <span class="argument">=</span> <span class="string">"Concentration"</span><span class="keyword">,</span> <span class="argument">ylab</span> <span class="argument">=</span> <span class="string">"Response"</span><span class="keyword">,</span> <span class="argument">alpha</span><span class="argument">=</span><span class="number">0.05</span><span class="keyword">,</span> <span class="argument">varfunc</span> <span class="argument">=</span> NULL<span class="keyword">)</span></pre> - - <h2>Arguments</h2> - <dl> - <dt>object</dt> - <dd> - A univariate model object of class <code><a href='http://www.rdocumentation.org/packages/stats/topics/lm'>lm</a></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>. - </dd> - <dt>xlim</dt> - <dd> - The limits of the plot on the x axis. - </dd> - <dt>ylim</dt> - <dd> - The limits of the plot on the y axis. - </dd> - <dt>xlab</dt> - <dd> - The label of the x axis. - </dd> - <dt>ylab</dt> - <dd> - The label of the y axis. - </dd> - <dt>alpha</dt> - <dd> - The error tolerance level for the confidence and prediction bands. Note that this - includes both tails of the Gaussian distribution, unlike the alpha and beta parameters - used in <code><a href='lod.html'>lod</a></code> (see note below). - </dd> - <dt>varfunc</dt> - <dd> - The variance function for generating the weights in the model. - Currently, this argument is ignored (see note below). - </dd> - </dl> - - <div class="Description"> - <h2>Description</h2> - - <p>Produce graphics of calibration data, the fitted model as well - as confidence, and, for unweighted regression, prediction bands.</p> - - </div> - - <div class="Value"> - <h2>Value</h2> - - <p><dl> - A plot of the calibration data, of your fitted model as well as lines showing - the confidence limits. Prediction limits are only shown for models from - unweighted regression. -</dl></p> - - </div> - - <div class="Note"> - <h2>Note</h2> - - <p>Prediction bands for models from weighted linear regression require weights - for the data, for which responses should be predicted. Prediction intervals - using weights e.g. from a variance function are currently not supported by - the internally used function <code><a href='http://www.rdocumentation.org/packages/stats/topics/predict.lm'>predict.lm</a></code>, therefore, - <code>calplot</code> does not draw prediction bands for such models.</p> - - <p>It is possible to compare the <code><a href='calplot.lm.html'>calplot</a></code> prediction bands with the - <code><a href='lod.html'>lod</a></code> values if the <code>lod()</code> alpha and beta parameters are - half the value of the <code>calplot()</code> alpha parameter.</p> - - <p></p> - - </div> - - <h2 id="examples">Examples</h2> - <pre class="examples"><div class='input'><span class="functioncall"><a href='http://www.rdocumentation.org/packages/utils/topics/data'>data</a></span><span class="keyword">(</span><span class="symbol">massart97ex3</span><span class="keyword">)</span> -<span class="symbol">m</span> <span class="assignement"><-</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/stats/topics/lm'>lm</a></span><span class="keyword">(</span><span class="symbol">y</span> <span class="keyword">~</span> <span class="symbol">x</span><span class="keyword">,</span> <span class="argument">data</span> <span class="argument">=</span> <span class="symbol">massart97ex3</span><span class="keyword">)</span> -<span class="functioncall"><a href='calplot.lm.html'>calplot</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">)</span></div> -<p><img src='calplot.lm-2.png' alt='' width='540' height='400' /></p></pre> - </div> - <div class="span4 sidebar"> - <!-- <ul> - <li>calplot</li><li>calplot.default</li><li>calplot.lm</li> - </ul> - <ul> - <li>regression</li> - </ul> --> - - - - <h2>Author</h2> - - Johannes Ranke - <a href='mailto:jranke@uni-bremen.de'>jranke@uni-bremen.de</a> - <a href = 'http://www.uft.uni-bremen.de/chemie/ranke'>http://www.uft.uni-bremen.de/chemie/ranke</a> - - - </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>. 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\ No newline at end of file diff --git a/docs/css/bootstrap-responsive.css b/docs/css/bootstrap-responsive.css deleted file mode 100644 index 06e55c0..0000000 --- a/docs/css/bootstrap-responsive.css +++ /dev/null @@ -1,815 +0,0 @@ -/*! - * Bootstrap Responsive v2.0.4 - * - * Copyright 2012 Twitter, Inc - * Licensed under the Apache License v2.0 - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Designed and built with all the love in the world @twitter by @mdo and @fat. - */ - -.clearfix { - *zoom: 1; -} - -.clearfix:before, -.clearfix:after { - display: table; - content: ""; -} - -.clearfix:after { - clear: both; -} - -.hide-text { - font: 0/0 a; - color: transparent; - text-shadow: none; - background-color: transparent; - border: 0; -} - -.input-block-level { - display: block; - width: 100%; - min-height: 28px; - -webkit-box-sizing: border-box; - -moz-box-sizing: border-box; - -ms-box-sizing: border-box; - box-sizing: border-box; -} - -.hidden { - display: none; - visibility: 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<h2>Description</h2> - - <p>Sample dataset to test the package.</p> - - </div> - - <div class="Format"> - <h2>Format</h2> - - <p>A dataframe containing 10 rows of x and y values.</p> - - </div> - - <div class="References"> - <h2>References</h2> - - <p>DIN 32645 (equivalent to ISO 11843), Beuth Verlag, Berlin, 1994</p> - - <p>Dintest. Plugin for MS Excel for evaluations of calibration data. Written - by Georg Schmitt, University of Heidelberg. Formerly available from - the Website of the University of Heidelberg.</p> - - <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> - - </div> - - <h2 id="examples">Examples</h2> - <pre class="examples"><div class='input'><span class="functioncall"><a href='http://www.rdocumentation.org/packages/utils/topics/data'>data</a></span><span class="keyword">(</span><span class="symbol">din32645</span><span class="keyword">)</span> -<span class="symbol">m</span> <span class="assignement"><-</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/stats/topics/lm'>lm</a></span><span class="keyword">(</span><span class="symbol">y</span> <span class="keyword">~</span> <span class="symbol">x</span><span class="keyword">,</span> <span class="argument">data</span> <span class="argument">=</span> <span class="symbol">din32645</span><span class="keyword">)</span> -<span class="functioncall"><a href='calplot.lm.html'>calplot</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">)</span></div> -<p><img src='din32645-2.png' alt='' width='540' height='400' /></p> -<div class='input'> -<span class="comment">## Prediction of x with confidence interval</span> -<span class="keyword">(</span><span class="symbol">prediction</span> <span class="assignement"><-</span> <span class="functioncall"><a href='inverse.predict.html'>inverse.predict</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">,</span> <span class="number">3500</span><span class="keyword">,</span> <span class="argument">alpha</span> <span class="argument">=</span> <span class="number">0.01</span><span class="keyword">)</span><span class="keyword">)</span></div> -<div class='output'>$Prediction -[1] 0.1054792 - -$`Standard Error` -[1] 0.02215619 - -$Confidence -[1] 0.07434261 - -$`Confidence Limits` -[1] 0.03113656 0.17982178 - -</div> -<div class='input'> -<span class="comment"># This should give 0.07434 according to test data from Dintest, which </span> -<span class="comment"># was collected from Procontrol 3.1 (isomehr GmbH) in this case</span> -<span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/Round'>round</a></span><span class="keyword">(</span><span class="symbol">prediction</span><span class="keyword">$</span><span class="symbol">Confidence</span><span class="keyword">,</span><span class="number">5</span><span class="keyword">)</span></div> -<div class='output'>[1] 0.07434 -</div> -<div class='input'> -<span class="comment">## Critical value:</span> -<span class="keyword">(</span><span class="symbol">crit</span> <span class="assignement"><-</span> <span class="functioncall"><a href='lod.html'>lod</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">,</span> <span class="argument">alpha</span> <span class="argument">=</span> <span class="number">0.01</span><span class="keyword">,</span> <span class="argument">beta</span> <span class="argument">=</span> <span class="number">0.5</span><span class="keyword">)</span><span class="keyword">)</span></div> -<div class='output'>$x -[1] 0.0698127 - -$y - 1 -3155.393 - -</div> -<div class='input'> -<span class="comment"># According to DIN 32645, we should get 0.07 for the critical value</span> -<span class="comment"># (decision limit, "Nachweisgrenze")</span> -<span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/Round'>round</a></span><span class="keyword">(</span><span class="symbol">crit</span><span class="keyword">$</span><span class="symbol">x</span><span class="keyword">,</span> <span class="number">2</span><span class="keyword">)</span></div> -<div class='output'>[1] 0.07 -</div> -<div class='input'><span class="comment"># and according to Dintest test data, we should get 0.0698 from</span> -<span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/Round'>round</a></span><span class="keyword">(</span><span class="symbol">crit</span><span class="keyword">$</span><span class="symbol">x</span><span class="keyword">,</span> <span class="number">4</span><span class="keyword">)</span></div> -<div class='output'>[1] 0.0698 -</div> -<div class='input'> -<span class="comment">## Limit of detection (smallest detectable value given alpha and beta)</span> -<span class="comment"># In German, the smallest detectable value is the "Erfassungsgrenze", and we</span> -<span class="comment"># should get 0.14 according to DIN, which we achieve by using the method </span> -<span class="comment"># described in it:</span> -<span class="symbol">lod.din</span> <span class="assignement"><-</span> <span class="functioncall"><a href='lod.html'>lod</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">,</span> <span class="argument">alpha</span> <span class="argument">=</span> <span class="number">0.01</span><span class="keyword">,</span> <span class="argument">beta</span> <span class="argument">=</span> <span class="number">0.01</span><span class="keyword">,</span> <span class="argument">method</span> <span class="argument">=</span> <span class="string">"din"</span><span class="keyword">)</span> -<span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/Round'>round</a></span><span class="keyword">(</span><span class="symbol">lod.din</span><span class="keyword">$</span><span class="symbol">x</span><span class="keyword">,</span> <span class="number">2</span><span class="keyword">)</span></div> -<div class='output'>[1] 0.14 -</div> -<div class='input'> -<span class="comment">## Limit of quantification</span> -<span class="comment"># This accords to the test data coming with the test data from Dintest again, </span> -<span class="comment"># except for the last digits of the value cited for Procontrol 3.1 (0.2121)</span> -<span class="keyword">(</span><span class="symbol">loq</span> <span class="assignement"><-</span> <span class="functioncall"><a href='loq.html'>loq</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">,</span> <span class="argument">alpha</span> <span class="argument">=</span> <span class="number">0.01</span><span class="keyword">)</span><span class="keyword">)</span></div> -<div class='output'>$x -[1] 0.2119575 - -$y - 1 -4528.787 - -</div> -<div class='input'><span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/Round'>round</a></span><span class="keyword">(</span><span class="symbol">loq</span><span class="keyword">$</span><span class="symbol">x</span><span class="keyword">,</span><span class="number">4</span><span class="keyword">)</span></div> -<div class='output'>[1] 0.212 -</div> -<div class='input'> -<span class="comment"># A similar value is obtained using the approximation </span> -<span class="comment"># LQ = 3.04 * LC (Currie 1999, p. 120)</span> -<span class="number">3.04</span> <span class="keyword">*</span> <span class="functioncall"><a href='lod.html'>lod</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">,</span><span class="argument">alpha</span> <span class="argument">=</span> <span class="number">0.01</span><span class="keyword">,</span> <span class="argument">beta</span> <span class="argument">=</span> <span class="number">0.5</span><span class="keyword">)</span><span class="keyword">$</span><span class="symbol">x</span></div> -<div class='output'>[1] 0.2122306 -</div></pre> - 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There are also functions estimating the limit -of detection (LOD) and limit of quantification (LOQ). -The functions work on model objects from - optionally weighted - linear -regression (lm) or robust linear regression ('rlm' from the 'MASS' package). - </div> + </header><div class="row"> + <div class="contents col-md-9"> + <div id="chemcal" class="section level1"> +<div class="page-header"><h1 class="hasAnchor"> +<a href="#chemcal" class="anchor"> </a>chemCal</h1></div> - <div class="span3 offset1 sidebar"> - <h2>Vignettes</h2> - <ul> - <li><a href="vignettes/chemCal.pdf">Short manual for the chemCal package</a></li> - </ul> - <h2>Authors</h2> - <ul> - <li><a href='mailto:jranke@uni-bremen.de'>Johannes Ranke</a> [aut, cre, cph]</li> - </ul> +<p>Static documentation of this R package can be found unter <a href="http://jranke.github.io/chemCal" class="uri">http://jranke.github.io/chemCal</a></p> +</div> </div> + + <div class="col-md-3" id="sidebar"> + <h2>Links</h2> +<ul class="list-unstyled"> +<li>Download from CRAN at <br><a href="https://cran.r-project.org/package=chemCal">https://cran.r-project.org/package=chemCal</a> +</li> +</ul> +<h2>License</h2> +<p>GPL (>= 2)</p> +<h2>Developers</h2> +<ul class="list-unstyled"> +<li>Johannes Ranke <br><small class="roles"> Author, maintainer, copyright holder </small> </li> +</ul> +<html><body> +<h2>Dev status</h2> +<ul class="list-unstyled"> +<li><a href="http://cran.r-project.org/package=chemCal"><img src="http://www.r-pkg.org/badges/version/chemCal"></a></li> +</ul> +</body></html> </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>. 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\ No newline at end of file +</html> diff --git a/docs/inverse.predict.html b/docs/inverse.predict.html deleted file mode 100644 index 4d66549..0000000 --- a/docs/inverse.predict.html +++ /dev/null @@ -1,204 +0,0 @@ -<!DOCTYPE html> -<html lang="en"> - <head> - <meta charset="utf-8"> -<title>inverse.predict. chemCal 0.1-37</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="index.html">chemCal 0.1-37</a> - <div class="nav"> - <ul class="nav"> - <li><a href="index.html">Home</a></li> - <li><a href="reference.html">Reference</a></li> - </ul> - </div> - </div> - </div> -</div> - - - <div class="container"> - <header> - - </header> - - <h1>Predict x from y for a linear calibration</h1> - -<div class="row"> - <div class="span8"> - <h2>Usage</h2> - <pre><span class="functioncall"><a href='inverse.predict.html'>inverse.predict</a></span><span class="keyword">(</span><span class="symbol">object</span><span class="keyword">,</span> <span class="symbol">newdata</span><span class="keyword">,</span> <span class="symbol">...</span><span class="keyword">,</span> - <span class="symbol">ws</span><span class="keyword">,</span> <span class="argument">alpha</span><span class="argument">=</span><span class="number">0.05</span><span class="keyword">,</span> <span class="argument">var.s</span> <span class="argument">=</span> <span class="string">"auto"</span><span class="keyword">)</span></pre> - - <h2>Arguments</h2> - <dl> - <dt>object</dt> - <dd> - A univariate model object of class <code><a href='http://www.rdocumentation.org/packages/stats/topics/lm'>lm</a></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>. - </dd> - <dt>newdata</dt> - <dd> - A vector of observed y values for one sample. - </dd> - <dt>...</dt> - <dd> - Placeholder for further arguments that might be needed by - future implementations. - </dd> - <dt>ws</dt> - <dd> - The weight attributed to the sample. This argument is obligatory - if <code>object</code> has weights. - </dd> - <dt>alpha</dt> - <dd> - The error tolerance level for the confidence interval to be reported. - </dd> - <dt>var.s</dt> - <dd> - The estimated variance of the sample measurements. The default is to take - the residual standard error from the calibration and to adjust it - using <code>ws</code>, if applicable. This means that <code>var.s</code> - overrides <code>ws</code>. - </dd> - </dl> - - <div class="Value"> - <h2>Value</h2> - - <p><dl> - A list containing the predicted x value, its standard error and a - confidence interval. -</dl></p> - - </div> - - <div class="Description"> - <h2>Description</h2> - - <p>This function predicts x values using a univariate linear model that has been - generated for the purpose of calibrating a measurement method. Prediction - intervals are given at the specified confidence level. - The calculation method was taken from Massart et al. (1997). In particular, - Equations 8.26 and 8.28 were combined in order to yield a general treatment - of inverse prediction for univariate linear models, taking into account - weights that have been used to create the linear model, and at the same - time providing the possibility to specify a precision in sample measurements - differing from the precision in standard samples used for the calibration. - This is elaborated in the package vignette.</p> - - </div> - - <div class="Note"> - <h2>Note</h2> - - <p>The function was validated with examples 7 and 8 from Massart et al. (1997).</p> - - </div> - - <div class="References"> - <h2>References</h2> - - <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, - p. 200</p> - - </div> - - <h2 id="examples">Examples</h2> - <pre class="examples"><div class='input'><span class="comment"># This is example 7 from Chapter 8 in Massart et al. (1997)</span> -<span class="functioncall"><a href='http://www.rdocumentation.org/packages/utils/topics/data'>data</a></span><span class="keyword">(</span><span class="symbol">massart97ex1</span><span class="keyword">)</span> -<span class="symbol">m</span> <span class="assignement"><-</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/stats/topics/lm'>lm</a></span><span class="keyword">(</span><span class="symbol">y</span> <span class="keyword">~</span> <span class="symbol">x</span><span class="keyword">,</span> <span class="argument">data</span> <span class="argument">=</span> <span class="symbol">massart97ex1</span><span class="keyword">)</span> -<span class="functioncall"><a href='inverse.predict.html'>inverse.predict</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">,</span> <span class="number">15</span><span class="keyword">)</span> <span class="comment"># 6.1 +- 4.9</span></div> -<div class='output'>$Prediction -[1] 6.09381 - -$`Standard Error` -[1] 1.767278 - -$Confidence -[1] 4.906751 - -$`Confidence Limits` -[1] 1.187059 11.000561 - -</div> -<div class='input'><span class="functioncall"><a href='inverse.predict.html'>inverse.predict</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">,</span> <span class="number">90</span><span class="keyword">)</span> <span class="comment"># 43.9 +- 4.9</span></div> -<div class='output'>$Prediction -[1] 43.93983 - -$`Standard Error` -[1] 1.767747 - -$Confidence -[1] 4.908053 - -$`Confidence Limits` -[1] 39.03178 48.84788 - -</div> -<div class='input'><span class="functioncall"><a href='inverse.predict.html'>inverse.predict</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">,</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/rep'>rep</a></span><span class="keyword">(</span><span class="number">90</span><span class="keyword">,</span><span class="number">5</span><span class="keyword">)</span><span class="keyword">)</span> <span class="comment"># 43.9 +- 3.2</span></div> -<div class='output'>$Prediction -[1] 43.93983 - -$`Standard Error` -[1] 1.141204 - -$Confidence -[1] 3.168489 - -$`Confidence Limits` -[1] 40.77134 47.10832 - -</div></pre> - </div> - <div class="span4 sidebar"> - <!-- <ul> - <li>inverse.predict</li><li>inverse.predict.lm</li><li>inverse.predict.rlm</li><li>inverse.predict.default</li> - </ul> - <ul> - <li>manip</li> - </ul> --> - - - - - </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>. 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- * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - * ========================================================== */ - - -!function ($) { - - "use strict"; // jshint ;_; - - - /* ALERT CLASS DEFINITION - * ====================== */ - - var dismiss = '[data-dismiss="alert"]' - , Alert = function (el) { - $(el).on('click', dismiss, this.close) - } - - Alert.prototype.close = function (e) { - var $this = $(this) - , selector = $this.attr('data-target') - , $parent - - if (!selector) { - selector = $this.attr('href') - selector = selector && selector.replace(/.*(?=#[^\s]*$)/, '') //strip for ie7 - } - - $parent = $(selector) - - e && e.preventDefault() - - $parent.length || ($parent = $this.hasClass('alert') ? $this : $this.parent()) - - $parent.trigger(e = $.Event('close')) - - if (e.isDefaultPrevented()) return - - $parent.removeClass('in') - - function removeElement() { - $parent - .trigger('closed') - .remove() - } - - $.support.transition && $parent.hasClass('fade') ? - $parent.on($.support.transition.end, removeElement) : - removeElement() - } - - - /* ALERT PLUGIN DEFINITION - * ======================= */ - - $.fn.alert = function (option) { - return this.each(function () { - var $this = $(this) - , data = $this.data('alert') - if (!data) $this.data('alert', (data = new Alert(this))) - if (typeof option == 'string') data[option].call($this) - }) - } - - $.fn.alert.Constructor = Alert - - - /* ALERT DATA-API - * ============== */ - - $(function () { - $('body').on('click.alert.data-api', dismiss, Alert.prototype.close) - }) - -}(window.jQuery);/* ============================================================ - * bootstrap-button.js v2.0.4 - * http://twitter.github.com/bootstrap/javascript.html#buttons - * ============================================================ - * Copyright 2012 Twitter, Inc. - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - * ============================================================ */ - - -!function ($) { - - "use strict"; // jshint ;_; - - - /* BUTTON PUBLIC CLASS DEFINITION - * ============================== */ - - var Button = function (element, options) { - this.$element = $(element) - this.options = $.extend({}, $.fn.button.defaults, options) - } - - Button.prototype.setState = function (state) { - var d = 'disabled' - , $el = this.$element - , data = $el.data() - , val = $el.is('input') ? 'val' : 'html' - - state = state + 'Text' - data.resetText || $el.data('resetText', $el[val]()) - - $el[val](data[state] || this.options[state]) - - // push to event loop to allow forms to submit - setTimeout(function () { - state == 'loadingText' ? - $el.addClass(d).attr(d, d) : - $el.removeClass(d).removeAttr(d) - }, 0) - } - - Button.prototype.toggle = function () { - var $parent = this.$element.parent('[data-toggle="buttons-radio"]') - - $parent && $parent - .find('.active') - .removeClass('active') - - this.$element.toggleClass('active') - } - - - /* BUTTON PLUGIN DEFINITION - * ======================== */ - - $.fn.button = function (option) { - return this.each(function () { - var $this = $(this) - , data = $this.data('button') - , options = typeof option == 'object' && option - if (!data) $this.data('button', (data = new Button(this, options))) - if (option == 'toggle') data.toggle() - else if (option) data.setState(option) - }) - } - - $.fn.button.defaults = { - loadingText: 'loading...' - } - - $.fn.button.Constructor = Button - - - /* BUTTON DATA-API - * =============== */ - - $(function () { - $('body').on('click.button.data-api', '[data-toggle^=button]', function ( e ) { - var $btn = $(e.target) - if (!$btn.hasClass('btn')) $btn = $btn.closest('.btn') - $btn.button('toggle') - }) - }) - -}(window.jQuery);/* ========================================================== - * bootstrap-carousel.js v2.0.4 - * http://twitter.github.com/bootstrap/javascript.html#carousel - * ========================================================== - * Copyright 2012 Twitter, Inc. - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - * ========================================================== */ - - -!function ($) { - - "use strict"; // jshint ;_; - - - /* CAROUSEL CLASS DEFINITION - * ========================= */ - - var Carousel = function (element, options) { - this.$element = $(element) - this.options = options - this.options.slide && this.slide(this.options.slide) - this.options.pause == 'hover' && this.$element - .on('mouseenter', $.proxy(this.pause, this)) - .on('mouseleave', $.proxy(this.cycle, this)) - } - - Carousel.prototype = { - - cycle: function (e) { - if (!e) this.paused = false - this.options.interval - && !this.paused - && (this.interval = setInterval($.proxy(this.next, this), this.options.interval)) - return this - } - - , to: function (pos) { - var $active = this.$element.find('.active') - , children = $active.parent().children() - , activePos = children.index($active) - , that = this - - if (pos > (children.length - 1) || pos < 0) return - - if (this.sliding) { - return this.$element.one('slid', function () { - that.to(pos) - }) - } - - if (activePos == pos) { - return this.pause().cycle() - } - - return this.slide(pos > activePos ? 'next' : 'prev', $(children[pos])) - } - - , pause: function (e) { - if (!e) this.paused = true - clearInterval(this.interval) - this.interval = null - return this - } - - , next: function () { - if (this.sliding) return - return this.slide('next') - } - - , prev: function () { - if (this.sliding) return - return this.slide('prev') - } - - , slide: function (type, next) { - var $active = this.$element.find('.active') - , $next = next || $active[type]() - , isCycling = this.interval - , direction = type == 'next' ? 'left' : 'right' - , fallback = type == 'next' ? 'first' : 'last' - , that = this - , e = $.Event('slide') - - this.sliding = true - - isCycling && this.pause() - - $next = $next.length ? $next : this.$element.find('.item')[fallback]() - - if ($next.hasClass('active')) return - - if ($.support.transition && this.$element.hasClass('slide')) { - this.$element.trigger(e) - if (e.isDefaultPrevented()) return - $next.addClass(type) - $next[0].offsetWidth // force reflow - $active.addClass(direction) - $next.addClass(direction) - this.$element.one($.support.transition.end, function () { - $next.removeClass([type, direction].join(' ')).addClass('active') - $active.removeClass(['active', direction].join(' ')) - that.sliding = false - setTimeout(function () { that.$element.trigger('slid') }, 0) - }) - } else { - this.$element.trigger(e) - if (e.isDefaultPrevented()) return - $active.removeClass('active') - $next.addClass('active') - this.sliding = false - this.$element.trigger('slid') - } - - isCycling && this.cycle() - - return this - } - - } - - - /* CAROUSEL PLUGIN DEFINITION - * ========================== */ - - $.fn.carousel = function (option) { - return this.each(function () { - var $this = $(this) - , data = $this.data('carousel') - , options = $.extend({}, $.fn.carousel.defaults, typeof option == 'object' && option) - if (!data) $this.data('carousel', (data = new Carousel(this, options))) - if (typeof option == 'number') data.to(option) - else if (typeof option == 'string' || (option = options.slide)) data[option]() - else if (options.interval) data.cycle() - }) - } - - $.fn.carousel.defaults = { - interval: 5000 - , pause: 'hover' - } - - $.fn.carousel.Constructor = Carousel - - - /* CAROUSEL DATA-API - * ================= */ - - $(function () { - $('body').on('click.carousel.data-api', '[data-slide]', function ( e ) { - var $this = $(this), href - , $target = $($this.attr('data-target') || (href = $this.attr('href')) && href.replace(/.*(?=#[^\s]+$)/, '')) //strip for ie7 - , options = !$target.data('modal') && $.extend({}, $target.data(), $this.data()) - $target.carousel(options) - e.preventDefault() - }) - }) - -}(window.jQuery);/* ============================================================= - * bootstrap-collapse.js v2.0.4 - * http://twitter.github.com/bootstrap/javascript.html#collapse - * ============================================================= - * Copyright 2012 Twitter, Inc. - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - * ============================================================ */ - - -!function ($) { - - "use strict"; // jshint ;_; - - - /* COLLAPSE PUBLIC CLASS DEFINITION - * ================================ */ - - var Collapse = function (element, options) { - this.$element = $(element) - this.options = $.extend({}, $.fn.collapse.defaults, options) - - if (this.options.parent) { - this.$parent = $(this.options.parent) - } - - this.options.toggle && this.toggle() - } - - Collapse.prototype = { - - constructor: Collapse - - , dimension: function () { - var hasWidth = this.$element.hasClass('width') - return hasWidth ? 'width' : 'height' - } - - , show: function () { - var dimension - , scroll - , actives - , hasData - - if (this.transitioning) return - - dimension = this.dimension() - scroll = $.camelCase(['scroll', dimension].join('-')) - actives = this.$parent && this.$parent.find('> .accordion-group > .in') - - if (actives && actives.length) { - hasData = actives.data('collapse') - if (hasData && hasData.transitioning) return - actives.collapse('hide') - hasData || actives.data('collapse', null) - } - - this.$element[dimension](0) - this.transition('addClass', $.Event('show'), 'shown') - this.$element[dimension](this.$element[0][scroll]) - } - - , hide: function () { - var dimension - if (this.transitioning) return - dimension = this.dimension() - this.reset(this.$element[dimension]()) - this.transition('removeClass', $.Event('hide'), 'hidden') - this.$element[dimension](0) - } - - , reset: function (size) { - var dimension = this.dimension() - - this.$element - .removeClass('collapse') - [dimension](size || 'auto') - [0].offsetWidth - - this.$element[size !== null ? 'addClass' : 'removeClass']('collapse') - - return this - } - - , transition: function (method, startEvent, completeEvent) { - var that = this - , complete = function () { - if (startEvent.type == 'show') that.reset() - that.transitioning = 0 - that.$element.trigger(completeEvent) - } - - this.$element.trigger(startEvent) - - if (startEvent.isDefaultPrevented()) return - - this.transitioning = 1 - - this.$element[method]('in') - - $.support.transition && this.$element.hasClass('collapse') ? - this.$element.one($.support.transition.end, complete) : - complete() - } - - , toggle: function () { - this[this.$element.hasClass('in') ? 'hide' : 'show']() - } - - } - - - /* COLLAPSIBLE PLUGIN DEFINITION - * ============================== */ - - $.fn.collapse = function (option) { - return this.each(function () { - var $this = $(this) - , data = $this.data('collapse') - , options = typeof option == 'object' && option - if (!data) $this.data('collapse', (data = new Collapse(this, options))) - if (typeof option == 'string') data[option]() - }) - } - - $.fn.collapse.defaults = { - toggle: true - } - - $.fn.collapse.Constructor = Collapse - - - /* COLLAPSIBLE DATA-API - * ==================== */ - - $(function () { - $('body').on('click.collapse.data-api', '[data-toggle=collapse]', function ( e ) { - var $this = $(this), href - , target = $this.attr('data-target') - || e.preventDefault() - || (href = $this.attr('href')) && href.replace(/.*(?=#[^\s]+$)/, '') //strip for ie7 - , option = $(target).data('collapse') ? 'toggle' : $this.data() - $(target).collapse(option) - }) - }) - -}(window.jQuery);/* ============================================================ - * bootstrap-dropdown.js v2.0.4 - * http://twitter.github.com/bootstrap/javascript.html#dropdowns - * ============================================================ - * Copyright 2012 Twitter, Inc. - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - * ============================================================ */ - - -!function ($) { - - "use strict"; // jshint ;_; - - - /* DROPDOWN CLASS DEFINITION - * ========================= */ - - var toggle = '[data-toggle="dropdown"]' - , Dropdown = function (element) { - var $el = $(element).on('click.dropdown.data-api', this.toggle) - $('html').on('click.dropdown.data-api', function () { - $el.parent().removeClass('open') - }) - } - - Dropdown.prototype = { - - constructor: Dropdown - - , toggle: function (e) { - var $this = $(this) - , $parent - , selector - , isActive - - if ($this.is('.disabled, :disabled')) return - - selector = $this.attr('data-target') - - if (!selector) { - selector = $this.attr('href') - selector = selector && selector.replace(/.*(?=#[^\s]*$)/, '') //strip for ie7 - } - - $parent = $(selector) - $parent.length || ($parent = $this.parent()) - - isActive = $parent.hasClass('open') - - clearMenus() - - if (!isActive) $parent.toggleClass('open') - - return false - } - - } - - function clearMenus() { - $(toggle).parent().removeClass('open') - } - - - /* DROPDOWN PLUGIN DEFINITION - * ========================== */ - - $.fn.dropdown = function (option) { - return this.each(function () { - var $this = $(this) - , data = $this.data('dropdown') - if (!data) $this.data('dropdown', (data = new Dropdown(this))) - if (typeof option == 'string') data[option].call($this) - }) - } - - $.fn.dropdown.Constructor = Dropdown - - - /* APPLY TO STANDARD DROPDOWN ELEMENTS - * =================================== */ - - $(function () { - $('html').on('click.dropdown.data-api', clearMenus) - $('body') - .on('click.dropdown', '.dropdown form', function (e) { e.stopPropagation() }) - .on('click.dropdown.data-api', toggle, Dropdown.prototype.toggle) - }) - -}(window.jQuery);/* ========================================================= - * bootstrap-modal.js v2.0.4 - * http://twitter.github.com/bootstrap/javascript.html#modals - * ========================================================= - * Copyright 2012 Twitter, Inc. - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - * ========================================================= */ - - -!function ($) { - - "use strict"; // jshint ;_; - - - /* MODAL CLASS DEFINITION - * ====================== */ - - var Modal = function (content, options) { - this.options = options - this.$element = $(content) - .delegate('[data-dismiss="modal"]', 'click.dismiss.modal', $.proxy(this.hide, this)) - } - - Modal.prototype = { - - constructor: Modal - - , toggle: function () { - return this[!this.isShown ? 'show' : 'hide']() - } - - , show: function () { - var that = this - , e = $.Event('show') - - this.$element.trigger(e) - - if (this.isShown || e.isDefaultPrevented()) return - - $('body').addClass('modal-open') - - this.isShown = true - - escape.call(this) - backdrop.call(this, function () { - var transition = $.support.transition && that.$element.hasClass('fade') - - if (!that.$element.parent().length) { - that.$element.appendTo(document.body) //don't move modals dom position - } - - that.$element - .show() - - if (transition) { - that.$element[0].offsetWidth // force reflow - } - - that.$element.addClass('in') - - transition ? - that.$element.one($.support.transition.end, function () { that.$element.trigger('shown') }) : - that.$element.trigger('shown') - - }) - } - - , hide: function (e) { - e && e.preventDefault() - - var that = this - - e = $.Event('hide') - - this.$element.trigger(e) - - if (!this.isShown || e.isDefaultPrevented()) return - - this.isShown = false - - $('body').removeClass('modal-open') - - escape.call(this) - - this.$element.removeClass('in') - - $.support.transition && this.$element.hasClass('fade') ? - hideWithTransition.call(this) : - hideModal.call(this) - } - - } - - - /* MODAL PRIVATE METHODS - * ===================== */ - - function hideWithTransition() { - var that = this - , timeout = setTimeout(function () { - that.$element.off($.support.transition.end) - hideModal.call(that) - }, 500) - - this.$element.one($.support.transition.end, function () { - clearTimeout(timeout) - hideModal.call(that) - }) - } - - function hideModal(that) { - this.$element - .hide() - .trigger('hidden') - - backdrop.call(this) - } - - function backdrop(callback) { - var that = this - , animate = this.$element.hasClass('fade') ? 'fade' : '' - - if (this.isShown && this.options.backdrop) { - var doAnimate = $.support.transition && animate - - this.$backdrop = $('<div class="modal-backdrop ' + animate + '" />') - .appendTo(document.body) - - if (this.options.backdrop != 'static') { - this.$backdrop.click($.proxy(this.hide, this)) - } - - if (doAnimate) this.$backdrop[0].offsetWidth // force reflow - - this.$backdrop.addClass('in') - - doAnimate ? - this.$backdrop.one($.support.transition.end, callback) : - callback() - - } else if (!this.isShown && this.$backdrop) { - this.$backdrop.removeClass('in') - - $.support.transition && this.$element.hasClass('fade')? - this.$backdrop.one($.support.transition.end, $.proxy(removeBackdrop, this)) : - removeBackdrop.call(this) - - } else if (callback) { - callback() - } - } - - function removeBackdrop() { - this.$backdrop.remove() - this.$backdrop = null - } - - function escape() { - var that = this - if (this.isShown && this.options.keyboard) { - $(document).on('keyup.dismiss.modal', function ( e ) { - e.which == 27 && that.hide() - }) - } else if (!this.isShown) { - $(document).off('keyup.dismiss.modal') - } - } - - - /* MODAL PLUGIN DEFINITION - * ======================= */ - - $.fn.modal = function (option) { - return this.each(function () { - var $this = $(this) - , data = $this.data('modal') - , options = $.extend({}, $.fn.modal.defaults, $this.data(), typeof option == 'object' && option) - if (!data) $this.data('modal', (data = new Modal(this, options))) - if (typeof option == 'string') data[option]() - else if (options.show) data.show() - }) - } - - $.fn.modal.defaults = { - backdrop: true - , keyboard: true - , show: true - } - - $.fn.modal.Constructor = Modal - - - /* MODAL DATA-API - * ============== */ - - $(function () { - $('body').on('click.modal.data-api', '[data-toggle="modal"]', function ( e ) { - var $this = $(this), href - , $target = $($this.attr('data-target') || (href = $this.attr('href')) && href.replace(/.*(?=#[^\s]+$)/, '')) //strip for ie7 - , option = $target.data('modal') ? 'toggle' : $.extend({}, $target.data(), $this.data()) - - e.preventDefault() - $target.modal(option) - }) - }) - -}(window.jQuery);/* =========================================================== - * bootstrap-tooltip.js v2.0.4 - * http://twitter.github.com/bootstrap/javascript.html#tooltips - * Inspired by the original jQuery.tipsy by Jason Frame - * =========================================================== - * Copyright 2012 Twitter, Inc. - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - * ========================================================== */ - - -!function ($) { - - "use strict"; // jshint ;_; - - - /* TOOLTIP PUBLIC CLASS DEFINITION - * =============================== */ - - var Tooltip = function (element, options) { - this.init('tooltip', element, options) - } - - Tooltip.prototype = { - - constructor: Tooltip - - , init: function (type, element, options) { - var eventIn - , eventOut - - this.type = type - this.$element = $(element) - this.options = this.getOptions(options) - this.enabled = true - - if (this.options.trigger != 'manual') { - eventIn = this.options.trigger == 'hover' ? 'mouseenter' : 'focus' - eventOut = this.options.trigger == 'hover' ? 'mouseleave' : 'blur' - this.$element.on(eventIn, this.options.selector, $.proxy(this.enter, this)) - this.$element.on(eventOut, this.options.selector, $.proxy(this.leave, this)) - } - - this.options.selector ? - (this._options = $.extend({}, this.options, { trigger: 'manual', selector: '' })) : - this.fixTitle() - } - - , getOptions: function (options) { - options = $.extend({}, $.fn[this.type].defaults, options, this.$element.data()) - - if (options.delay && typeof options.delay == 'number') { - options.delay = { - show: options.delay - , hide: options.delay - } - } - - return options - } - - , enter: function (e) { - var self = $(e.currentTarget)[this.type](this._options).data(this.type) - - if (!self.options.delay || !self.options.delay.show) return self.show() - - clearTimeout(this.timeout) - self.hoverState = 'in' - this.timeout = setTimeout(function() { - if (self.hoverState == 'in') self.show() - }, self.options.delay.show) - } - - , leave: function (e) { - var self = $(e.currentTarget)[this.type](this._options).data(this.type) - - if (this.timeout) clearTimeout(this.timeout) - if (!self.options.delay || !self.options.delay.hide) return self.hide() - - self.hoverState = 'out' - this.timeout = setTimeout(function() { - if (self.hoverState == 'out') self.hide() - }, self.options.delay.hide) - } - - , show: function () { - var $tip - , inside - , pos - , actualWidth - , actualHeight - , placement - , tp - - if (this.hasContent() && this.enabled) { - $tip = this.tip() - this.setContent() - - if (this.options.animation) { - $tip.addClass('fade') - } - - placement = typeof this.options.placement == 'function' ? - this.options.placement.call(this, $tip[0], this.$element[0]) : - this.options.placement - - inside = /in/.test(placement) - - $tip - .remove() - .css({ top: 0, left: 0, display: 'block' }) - .appendTo(inside ? this.$element : document.body) - - pos = this.getPosition(inside) - - actualWidth = $tip[0].offsetWidth - actualHeight = $tip[0].offsetHeight - - switch (inside ? placement.split(' ')[1] : placement) { - case 'bottom': - tp = {top: pos.top + pos.height, left: pos.left + pos.width / 2 - actualWidth / 2} - break - case 'top': - tp = {top: pos.top - actualHeight, left: pos.left + pos.width / 2 - actualWidth / 2} - break - case 'left': - tp = {top: pos.top + pos.height / 2 - actualHeight / 2, left: pos.left - actualWidth} - break - case 'right': - tp = {top: pos.top + pos.height / 2 - actualHeight / 2, left: pos.left + pos.width} - break - } - - $tip - .css(tp) - .addClass(placement) - .addClass('in') - } - } - - , isHTML: function(text) { - // html string detection logic adapted from jQuery - return typeof text != 'string' - || ( text.charAt(0) === "<" - && text.charAt( text.length - 1 ) === ">" - && text.length >= 3 - ) || /^(?:[^<]*<[\w\W]+>[^>]*$)/.exec(text) - } - - , setContent: function () { - var $tip = this.tip() - , title = this.getTitle() - - $tip.find('.tooltip-inner')[this.isHTML(title) ? 'html' : 'text'](title) - $tip.removeClass('fade in top bottom left right') - } - - , hide: function () { - var that = this - , $tip = this.tip() - - $tip.removeClass('in') - - function removeWithAnimation() { - var timeout = setTimeout(function () { - $tip.off($.support.transition.end).remove() - }, 500) - - $tip.one($.support.transition.end, function () { - clearTimeout(timeout) - $tip.remove() - }) - } - - $.support.transition && this.$tip.hasClass('fade') ? - removeWithAnimation() : - $tip.remove() - } - - , fixTitle: function () { - var $e = this.$element - if ($e.attr('title') || typeof($e.attr('data-original-title')) != 'string') { - $e.attr('data-original-title', $e.attr('title') || '').removeAttr('title') - } - } - - , hasContent: function () { - return this.getTitle() - } - - , getPosition: function (inside) { - return $.extend({}, (inside ? {top: 0, left: 0} : this.$element.offset()), { - width: this.$element[0].offsetWidth - , height: this.$element[0].offsetHeight - }) - } - - , getTitle: function () { - var title - , $e = this.$element - , o = this.options - - title = $e.attr('data-original-title') - || (typeof o.title == 'function' ? o.title.call($e[0]) : o.title) - - return title - } - - , tip: function () { - return this.$tip = this.$tip || $(this.options.template) - } - - , validate: function () { - if (!this.$element[0].parentNode) { - this.hide() - this.$element = null - this.options = null - } - } - - , enable: function () { - this.enabled = true - } - - , disable: function () { - this.enabled = false - } - - , toggleEnabled: function () { - this.enabled = !this.enabled - } - - , toggle: function () { - this[this.tip().hasClass('in') ? 'hide' : 'show']() - } - - } - - - /* TOOLTIP PLUGIN DEFINITION - * ========================= */ - - $.fn.tooltip = function ( option ) { - return this.each(function () { - var $this = $(this) - , data = $this.data('tooltip') - , options = typeof option == 'object' && option - if (!data) $this.data('tooltip', (data = new Tooltip(this, options))) - if (typeof option == 'string') data[option]() - }) - } - - $.fn.tooltip.Constructor = Tooltip - - $.fn.tooltip.defaults = { - animation: true - , placement: 'top' - , selector: false - , template: '<div class="tooltip"><div class="tooltip-arrow"></div><div class="tooltip-inner"></div></div>' - , trigger: 'hover' - , title: '' - , delay: 0 - } - -}(window.jQuery); -/* =========================================================== - * bootstrap-popover.js v2.0.4 - * http://twitter.github.com/bootstrap/javascript.html#popovers - * =========================================================== - * Copyright 2012 Twitter, Inc. - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - * =========================================================== */ - - -!function ($) { - - "use strict"; // jshint ;_; - - - /* POPOVER PUBLIC CLASS DEFINITION - * =============================== */ - - var Popover = function ( element, options ) { - this.init('popover', element, options) - } - - - /* NOTE: POPOVER EXTENDS BOOTSTRAP-TOOLTIP.js - ========================================== */ - - Popover.prototype = $.extend({}, $.fn.tooltip.Constructor.prototype, { - - constructor: Popover - - , setContent: function () { - var $tip = this.tip() - , title = this.getTitle() - , content = this.getContent() - - $tip.find('.popover-title')[this.isHTML(title) ? 'html' : 'text'](title) - $tip.find('.popover-content > *')[this.isHTML(content) ? 'html' : 'text'](content) - - $tip.removeClass('fade top bottom left right in') - } - - , hasContent: function () { - return this.getTitle() || this.getContent() - } - - , getContent: function () { - var content - , $e = this.$element - , o = this.options - - content = $e.attr('data-content') - || (typeof o.content == 'function' ? o.content.call($e[0]) : o.content) - - return content - } - - , tip: function () { - if (!this.$tip) { - this.$tip = $(this.options.template) - } - return this.$tip - } - - }) - - - /* POPOVER PLUGIN DEFINITION - * ======================= */ - - $.fn.popover = function (option) { - return this.each(function () { - var $this = $(this) - , data = $this.data('popover') - , options = typeof option == 'object' && option - if (!data) $this.data('popover', (data = new Popover(this, options))) - if (typeof option == 'string') data[option]() - }) - } - - $.fn.popover.Constructor = Popover - - $.fn.popover.defaults = $.extend({} , $.fn.tooltip.defaults, { - placement: 'right' - , content: '' - , template: '<div class="popover"><div class="arrow"></div><div class="popover-inner"><h3 class="popover-title"></h3><div class="popover-content"><p></p></div></div></div>' - }) - -}(window.jQuery);/* ============================================================= - * bootstrap-scrollspy.js v2.0.4 - * http://twitter.github.com/bootstrap/javascript.html#scrollspy - * ============================================================= - * Copyright 2012 Twitter, Inc. - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - * ============================================================== */ - - -!function ($) { - - "use strict"; // jshint ;_; - - - /* SCROLLSPY CLASS DEFINITION - * ========================== */ - - function ScrollSpy( element, options) { - var process = $.proxy(this.process, this) - , $element = $(element).is('body') ? $(window) : $(element) - , href - this.options = $.extend({}, $.fn.scrollspy.defaults, options) - this.$scrollElement = $element.on('scroll.scroll.data-api', process) - this.selector = (this.options.target - || ((href = $(element).attr('href')) && href.replace(/.*(?=#[^\s]+$)/, '')) //strip for ie7 - || '') + ' .nav li > a' - this.$body = $('body') - this.refresh() - this.process() - } - - ScrollSpy.prototype = { - - constructor: ScrollSpy - - , refresh: function () { - var self = this - , $targets - - this.offsets = $([]) - this.targets = $([]) - - $targets = this.$body - .find(this.selector) - .map(function () { - var $el = $(this) - , href = $el.data('target') || $el.attr('href') - , $href = /^#\w/.test(href) && $(href) - return ( $href - && href.length - && [[ $href.position().top, href ]] ) || null - }) - .sort(function (a, b) { return a[0] - b[0] }) - .each(function () { - self.offsets.push(this[0]) - self.targets.push(this[1]) - }) - } - - , process: function () { - var scrollTop = this.$scrollElement.scrollTop() + this.options.offset - , scrollHeight = this.$scrollElement[0].scrollHeight || this.$body[0].scrollHeight - , maxScroll = scrollHeight - this.$scrollElement.height() - , offsets = this.offsets - , targets = this.targets - , activeTarget = this.activeTarget - , i - - if (scrollTop >= maxScroll) { - return activeTarget != (i = targets.last()[0]) - && this.activate ( i ) - } - - for (i = offsets.length; i--;) { - activeTarget != targets[i] - && scrollTop >= offsets[i] - && (!offsets[i + 1] || scrollTop <= offsets[i + 1]) - && this.activate( targets[i] ) - } - } - - , activate: function (target) { - var active - , selector - - this.activeTarget = target - - $(this.selector) - .parent('.active') - .removeClass('active') - - selector = this.selector - + '[data-target="' + target + '"],' - + this.selector + '[href="' + target + '"]' - - active = $(selector) - .parent('li') - .addClass('active') - - if (active.parent('.dropdown-menu')) { - active = active.closest('li.dropdown').addClass('active') - } - - active.trigger('activate') - } - - } - - - /* SCROLLSPY PLUGIN DEFINITION - * =========================== */ - - $.fn.scrollspy = function ( option ) { - return this.each(function () { - var $this = $(this) - , data = $this.data('scrollspy') - , options = typeof option == 'object' && option - if (!data) $this.data('scrollspy', (data = new ScrollSpy(this, options))) - if (typeof option == 'string') data[option]() - }) - } - - $.fn.scrollspy.Constructor = ScrollSpy - - $.fn.scrollspy.defaults = { - offset: 10 - } - - - /* SCROLLSPY DATA-API - * ================== */ - - $(function () { - $('[data-spy="scroll"]').each(function () { - var $spy = $(this) - $spy.scrollspy($spy.data()) - }) - }) - -}(window.jQuery);/* ======================================================== - * bootstrap-tab.js v2.0.4 - * http://twitter.github.com/bootstrap/javascript.html#tabs - * ======================================================== - * Copyright 2012 Twitter, Inc. - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - * ======================================================== */ - - -!function ($) { - - "use strict"; // jshint ;_; - - - /* TAB CLASS DEFINITION - * ==================== */ - - var Tab = function ( element ) { - this.element = $(element) - } - - Tab.prototype = { - - constructor: Tab - - , show: function () { - var $this = this.element - , $ul = $this.closest('ul:not(.dropdown-menu)') - , selector = $this.attr('data-target') - , previous - , $target - , e - - if (!selector) { - selector = $this.attr('href') - selector = selector && selector.replace(/.*(?=#[^\s]*$)/, '') //strip for ie7 - } - - if ( $this.parent('li').hasClass('active') ) return - - previous = $ul.find('.active a').last()[0] - - e = $.Event('show', { - relatedTarget: previous - }) - - $this.trigger(e) - - if (e.isDefaultPrevented()) return - - $target = $(selector) - - this.activate($this.parent('li'), $ul) - this.activate($target, $target.parent(), function () { - $this.trigger({ - type: 'shown' - , relatedTarget: previous - }) - }) - } - - , activate: function ( element, container, callback) { - var $active = container.find('> .active') - , transition = callback - && $.support.transition - && $active.hasClass('fade') - - function next() { - $active - .removeClass('active') - .find('> .dropdown-menu > .active') - .removeClass('active') - - element.addClass('active') - - if (transition) { - element[0].offsetWidth // reflow for transition - element.addClass('in') - } else { - element.removeClass('fade') - } - - if ( element.parent('.dropdown-menu') ) { - element.closest('li.dropdown').addClass('active') - } - - callback && callback() - } - - transition ? - $active.one($.support.transition.end, next) : - next() - - $active.removeClass('in') - } - } - - - /* TAB PLUGIN DEFINITION - * ===================== */ - - $.fn.tab = function ( option ) { - return this.each(function () { - var $this = $(this) - , data = $this.data('tab') - if (!data) $this.data('tab', (data = new Tab(this))) - if (typeof option == 'string') data[option]() - }) - } - - $.fn.tab.Constructor = Tab - - - /* TAB DATA-API - * ============ */ - - $(function () { - $('body').on('click.tab.data-api', '[data-toggle="tab"], [data-toggle="pill"]', function (e) { - e.preventDefault() - $(this).tab('show') - }) - }) - -}(window.jQuery);/* ============================================================= - * bootstrap-typeahead.js v2.0.4 - * http://twitter.github.com/bootstrap/javascript.html#typeahead - * ============================================================= - * Copyright 2012 Twitter, Inc. - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - * ============================================================ */ - - -!function($){ - - "use strict"; // jshint ;_; - - - /* TYPEAHEAD PUBLIC CLASS DEFINITION - * ================================= */ - - var Typeahead = function (element, options) { - this.$element = $(element) - this.options = $.extend({}, $.fn.typeahead.defaults, options) - this.matcher = this.options.matcher || this.matcher - this.sorter = this.options.sorter || this.sorter - this.highlighter = this.options.highlighter || this.highlighter - this.updater = this.options.updater || this.updater - this.$menu = $(this.options.menu).appendTo('body') - this.source = this.options.source - this.shown = false - this.listen() - } - - Typeahead.prototype = { - - constructor: Typeahead - - , select: function () { - var val = this.$menu.find('.active').attr('data-value') - this.$element - .val(this.updater(val)) - .change() - return this.hide() - } - - , updater: function (item) { - return item - } - - , show: function () { - var pos = $.extend({}, this.$element.offset(), { - height: this.$element[0].offsetHeight - }) - - this.$menu.css({ - top: pos.top + pos.height - , left: pos.left - }) - - this.$menu.show() - this.shown = true - return this - } - - , hide: function () { - this.$menu.hide() - this.shown = false - return this - } - - , lookup: function (event) { - var that = this - , items - , q - - this.query = this.$element.val() - - if (!this.query) { - return this.shown ? this.hide() : this - } - - items = $.grep(this.source, function (item) { - return that.matcher(item) - }) - - items = this.sorter(items) - - if (!items.length) { - return this.shown ? this.hide() : this - } - - return this.render(items.slice(0, this.options.items)).show() - } - - , matcher: function (item) { - return ~item.toLowerCase().indexOf(this.query.toLowerCase()) - } - - , sorter: function (items) { - var beginswith = [] - , caseSensitive = [] - , caseInsensitive = [] - , item - - while (item = items.shift()) { - if (!item.toLowerCase().indexOf(this.query.toLowerCase())) beginswith.push(item) - else if (~item.indexOf(this.query)) caseSensitive.push(item) - else caseInsensitive.push(item) - } - - return beginswith.concat(caseSensitive, caseInsensitive) - } - - , highlighter: function (item) { - var query = this.query.replace(/[\-\[\]{}()*+?.,\\\^$|#\s]/g, '\\$&') - return item.replace(new RegExp('(' + query + ')', 'ig'), function ($1, match) { - return '<strong>' + match + '</strong>' - }) - } - - , render: function (items) { - var that = this - - items = $(items).map(function (i, item) { - i = $(that.options.item).attr('data-value', item) - i.find('a').html(that.highlighter(item)) - return i[0] - }) - - items.first().addClass('active') - this.$menu.html(items) - return this - } - - , next: function (event) { - var active = this.$menu.find('.active').removeClass('active') - , next = active.next() - - if (!next.length) { - next = $(this.$menu.find('li')[0]) - } - - next.addClass('active') - } - - , prev: function (event) { - var active = this.$menu.find('.active').removeClass('active') - , prev = active.prev() - - if (!prev.length) { - prev = this.$menu.find('li').last() - } - - prev.addClass('active') - } - - , listen: function () { - this.$element - .on('blur', $.proxy(this.blur, this)) - .on('keypress', $.proxy(this.keypress, this)) - .on('keyup', $.proxy(this.keyup, this)) - - if ($.browser.webkit || $.browser.msie) { - this.$element.on('keydown', $.proxy(this.keypress, this)) - } - - this.$menu - .on('click', $.proxy(this.click, this)) - .on('mouseenter', 'li', $.proxy(this.mouseenter, this)) - } - - , keyup: function (e) { - switch(e.keyCode) { - case 40: // down arrow - case 38: // up arrow - break - - case 9: // tab - case 13: // enter - if (!this.shown) return - this.select() - break - - case 27: // escape - if (!this.shown) return - this.hide() - break - - default: - this.lookup() - } - - e.stopPropagation() - e.preventDefault() - } - - , keypress: function (e) { - if (!this.shown) return - - switch(e.keyCode) { - case 9: // tab - case 13: // enter - case 27: // escape - e.preventDefault() - break - - case 38: // up arrow - if (e.type != 'keydown') break - e.preventDefault() - this.prev() - break - - case 40: // down arrow - if (e.type != 'keydown') break - e.preventDefault() - this.next() - break - } - - e.stopPropagation() - } - - , blur: function (e) { - var that = this - setTimeout(function () { that.hide() }, 150) - } - - , click: function (e) { - e.stopPropagation() - e.preventDefault() - this.select() - } - - , mouseenter: function (e) { - this.$menu.find('.active').removeClass('active') - $(e.currentTarget).addClass('active') - } - - } - - - /* TYPEAHEAD PLUGIN DEFINITION - * =========================== */ - - $.fn.typeahead = function (option) { - return this.each(function () { - var $this = $(this) - , data = $this.data('typeahead') - , options = typeof option == 'object' && option - if (!data) $this.data('typeahead', (data = new Typeahead(this, options))) - if (typeof option == 'string') data[option]() - }) - } - - $.fn.typeahead.defaults = { - source: [] - , items: 8 - , menu: '<ul class="typeahead dropdown-menu"></ul>' - , item: '<li><a href="#"></a></li>' - 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\ No newline at end of file diff --git a/docs/link.svg b/docs/link.svg new file mode 100644 index 0000000..88ad827 --- /dev/null +++ b/docs/link.svg @@ -0,0 +1,12 @@ +<?xml version="1.0" encoding="utf-8"?> +<!-- Generator: Adobe Illustrator 19.2.1, SVG Export Plug-In . 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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 - 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> - - <div class="Value"> - <h2>Value</h2> - - <p><dl> - A list containig the corresponding x and y values of the estimated limit of - detection of a model used for calibration. -</dl></p> - - </div> - - <div class="Description"> - <h2>Description</h2> - - <p>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).</p> - - </div> - - <div class="Note"> - <h2>Note</h2> - - <p>- The default values for alpha and beta are the ones recommended by IUPAC. - - The estimation of the LOD in terms of the analyte amount/concentration - xD from the LOD in the signal domain SD is done by simply inverting the - calibration function (i.e. assuming a known calibration function). - - The calculation of a LOD from weighted calibration models requires - a weights argument for the internally used <code><a href='http://www.rdocumentation.org/packages/stats/topics/predict.lm'>predict.lm</a></code> - function, which is currently not supported in R.</p> - - </div> - - <div class="References"> - <h2>References</h2> - - <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 - Applied Chemistry Compendium of Analytical Nomenclature: Definitive Rules. - Web edition.</p> - - <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> - - </div> - - <h2 id="examples">Examples</h2> - <pre class="examples"><div class='input'><span class="functioncall"><a href='http://www.rdocumentation.org/packages/utils/topics/data'>data</a></span><span class="keyword">(</span><span class="symbol">din32645</span><span class="keyword">)</span> -<span class="symbol">m</span> <span class="assignement"><-</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/stats/topics/lm'>lm</a></span><span class="keyword">(</span><span class="symbol">y</span> <span class="keyword">~</span> <span class="symbol">x</span><span class="keyword">,</span> <span class="argument">data</span> <span class="argument">=</span> <span class="symbol">din32645</span><span class="keyword">)</span> -<span class="functioncall"><a href='lod.html'>lod</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">)</span></div> -<div class='output'>$x -[1] 0.08655484 - -$y - 1 -3317.154 - -</div> -<div class='input'> -<span class="comment"># The critical value (decision limit, German Nachweisgrenze) can be obtained</span> -<span class="comment"># by using beta = 0.5:</span> -<span class="functioncall"><a href='lod.html'>lod</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">,</span> <span class="argument">alpha</span> <span class="argument">=</span> <span class="number">0.01</span><span class="keyword">,</span> <span class="argument">beta</span> <span class="argument">=</span> <span class="number">0.5</span><span class="keyword">)</span></div> -<div class='output'>$x -[1] 0.0698127 - -$y - 1 -3155.393 - -</div></pre> - </div> - <div class="span4 sidebar"> - <!-- <ul> - <li>lod</li><li>lod.lm</li><li>lod.rlm</li><li>lod.default</li> - </ul> - <ul> - <li>manip</li> - </ul> --> - - <h2>See also</h2> - <p>Examples for <code><a href='din32645.html'>din32645</a></code></p> - - - - - </div> -</div> - - <footer> - <p class="pull-right"><a href="#">Back to top</a></p> -<p>Built by <a href="https://github.com/hadley/staticdocs">staticdocs</a>. Styled with <a href="https://getbootstrap.com/2.0.4/">bootstrap</a>.</p> - </footer> - </div> - </body> -</html>
\ No newline at end of file diff --git a/docs/loq.html b/docs/loq.html deleted file mode 100644 index 352737f..0000000 --- a/docs/loq.html +++ /dev/null @@ -1,191 +0,0 @@ -<!DOCTYPE html> -<html lang="en"> - <head> - <meta charset="utf-8"> -<title>loq. chemCal 0.1-37</title> -<meta name="viewport" content="width=device-width, initial-scale=1.0"> -<meta name="author" content=""> - -<link href="css/bootstrap.css" rel="stylesheet"> -<link href="css/bootstrap-responsive.css" rel="stylesheet"> -<link href="css/highlight.css" rel="stylesheet"> -<link href="css/staticdocs.css" rel="stylesheet"> - -<!--[if lt IE 9]> - <script src="http://html5shim.googlecode.com/svn/trunk/html5.js"></script> -<![endif]--> - -<script type="text/x-mathjax-config"> - MathJax.Hub.Config({ - tex2jax: { - inlineMath: [ ['$','$'], ["\\(","\\)"] ], - 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="index.html">chemCal 0.1-37</a> - <div class="nav"> - <ul class="nav"> - <li><a href="index.html">Home</a></li> - <li><a href="reference.html">Reference</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><span class="functioncall"><a href='loq.html'>loq</a></span><span class="keyword">(</span><span class="symbol">object</span><span class="keyword">,</span> <span class="symbol">...</span><span class="keyword">,</span> <span class="argument">alpha</span> <span class="argument">=</span> <span class="number">0.05</span><span class="keyword">,</span> <span class="argument">k</span> <span class="argument">=</span> <span class="number">3</span><span class="keyword">,</span> <span class="argument">n</span> <span class="argument">=</span> <span class="number">1</span><span class="keyword">,</span> <span class="argument">w.loq</span> <span class="argument">=</span> <span class="string">"auto"</span><span class="keyword">,</span> - <span class="argument">var.loq</span> <span class="argument">=</span> <span class="string">"auto"</span><span class="keyword">,</span> <span class="argument">tol</span> <span class="argument">=</span> <span class="string">"default"</span><span class="keyword">)</span></pre> - - <h2>Arguments</h2> - <dl> - <dt>object</dt> - <dd> - A univariate model object of class <code><a href='http://www.rdocumentation.org/packages/stats/topics/lm'>lm</a></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>...</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'><span class="functioncall"><a href='http://www.rdocumentation.org/packages/utils/topics/data'>data</a></span><span class="keyword">(</span><span class="symbol">massart97ex3</span><span class="keyword">)</span> -<span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/attach'>attach</a></span><span class="keyword">(</span><span class="symbol">massart97ex3</span><span class="keyword">)</span> -<span class="symbol">m</span> <span class="assignement"><-</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/stats/topics/lm'>lm</a></span><span class="keyword">(</span><span class="symbol">y</span> <span class="keyword">~</span> <span class="symbol">x</span><span class="keyword">)</span> -<span class="functioncall"><a href='loq.html'>loq</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">)</span></div> -<div class='output'>$x -[1] 13.97764 - -$y - 1 -30.6235 - -</div> -<div class='input'> -<span class="comment"># We can get better by using replicate measurements</span> -<span class="functioncall"><a href='loq.html'>loq</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">,</span> <span class="argument">n</span> <span class="argument">=</span> <span class="number">3</span><span class="keyword">)</span></div> -<div class='output'>$x -[1] 9.971963 - -$y - 1 -22.68539 - -</div></pre> - </div> - <div class="span4 sidebar"> - <!-- <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> - <p>Examples for <code><a href='din32645.html'>din32645</a></code></p> - - - - - </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="https://getbootstrap.com/2.0.4/">bootstrap</a>.</p> - </footer> - </div> - </body> -</html>
\ No newline at end of file diff --git a/docs/massart97ex1.html b/docs/massart97ex1.html deleted file mode 100644 index 00fde33..0000000 --- a/docs/massart97ex1.html +++ /dev/null @@ -1,102 +0,0 @@ -<!DOCTYPE html> -<html lang="en"> - <head> - <meta charset="utf-8"> -<title>massart97ex1. chemCal 0.1-37</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="index.html">chemCal 0.1-37</a> - <div class="nav"> - <ul class="nav"> - <li><a href="index.html">Home</a></li> - <li><a href="reference.html">Reference</a></li> - </ul> - </div> - </div> - </div> -</div> - - - <div class="container"> - <header> - - </header> - - <h1>Calibration data from Massart et al. (1997), example 1</h1> - -<div class="row"> - <div class="span8"> - <h2>Usage</h2> - <pre><span class="functioncall"><a href='http://www.rdocumentation.org/packages/utils/topics/data'>data</a></span><span class="keyword">(</span><span class="symbol">massart97ex1</span><span class="keyword">)</span></pre> - - <div class="Description"> - <h2>Description</h2> - - <p>Sample dataset from p. 175 to test the package.</p> - - </div> - - <div class="Format"> - <h2>Format</h2> - - <p>A dataframe containing 6 observations of x and y data.</p> - - </div> - - <div class="Source"> - <h2>Source</h2> - - <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 8.</p> - - </div> - </div> - <div class="span4 sidebar"> - <!-- <ul> - <li>massart97ex1</li> - </ul> - <ul> - <li>datasets</li> - </ul> --> - - - - - </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="https://getbootstrap.com/2.0.4/">bootstrap</a>.</p> - </footer> - </div> - </body> -</html>
\ No newline at end of file diff --git a/docs/massart97ex3.html b/docs/massart97ex3.html deleted file mode 100644 index 7e4d510..0000000 --- a/docs/massart97ex3.html +++ /dev/null @@ -1,194 +0,0 @@ -<!DOCTYPE html> -<html lang="en"> - <head> - <meta charset="utf-8"> -<title>massart97ex3. chemCal 0.1-37</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="index.html">chemCal 0.1-37</a> - <div class="nav"> - <ul class="nav"> - <li><a href="index.html">Home</a></li> - <li><a href="reference.html">Reference</a></li> - </ul> - </div> - </div> - </div> -</div> - - - <div class="container"> - <header> - - </header> - - <h1>Calibration data from Massart et al. (1997), example 3</h1> - -<div class="row"> - <div class="span8"> - <h2>Usage</h2> - <pre><span class="functioncall"><a href='http://www.rdocumentation.org/packages/utils/topics/data'>data</a></span><span class="keyword">(</span><span class="symbol">massart97ex3</span><span class="keyword">)</span></pre> - - <div class="Description"> - <h2>Description</h2> - - <p>Sample dataset from p. 188 to test the package.</p> - - </div> - - <div class="Format"> - <h2>Format</h2> - - <p>A dataframe containing 6 levels of x values with 5 - observations of y for each level.</p> - - </div> - - <div class="Source"> - <h2>Source</h2> - - <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 8.</p> - - </div> - - <h2 id="examples">Examples</h2> - <pre class="examples"><div class='input'><span class="functioncall"><a href='http://www.rdocumentation.org/packages/utils/topics/data'>data</a></span><span class="keyword">(</span><span class="symbol">massart97ex3</span><span class="keyword">)</span> -<span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/attach'>attach</a></span><span class="keyword">(</span><span class="symbol">massart97ex3</span><span class="keyword">)</span></div> -<strong class='message'>The following objects are masked from massart97ex3 (pos = 3): - - x, y -</strong> -<div class='input'><span class="symbol">yx</span> <span class="assignement"><-</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/split'>split</a></span><span class="keyword">(</span><span class="symbol">y</span><span class="keyword">,</span> <span class="symbol">x</span><span class="keyword">)</span> -<span class="symbol">ybar</span> <span class="assignement"><-</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/lapply'>sapply</a></span><span class="keyword">(</span><span class="symbol">yx</span><span class="keyword">,</span> <span class="symbol">mean</span><span class="keyword">)</span> -<span class="symbol">s</span> <span class="assignement"><-</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/Round'>round</a></span><span class="keyword">(</span><span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/lapply'>sapply</a></span><span class="keyword">(</span><span class="symbol">yx</span><span class="keyword">,</span> <span class="symbol">sd</span><span class="keyword">)</span><span class="keyword">,</span> <span class="argument">digits</span> <span class="argument">=</span> <span class="number">2</span><span class="keyword">)</span> -<span class="symbol">w</span> <span class="assignement"><-</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/Round'>round</a></span><span class="keyword">(</span><span class="number">1</span> <span class="keyword">/</span> <span class="keyword">(</span><span class="symbol">s</span><span class="keyword">^</span><span class="number">2</span><span class="keyword">)</span><span class="keyword">,</span> <span class="argument">digits</span> <span class="argument">=</span> <span class="number">3</span><span class="keyword">)</span> -<span class="symbol">weights</span> <span class="assignement"><-</span> <span class="symbol">w</span><span class="keyword">[</span><span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/factor'>factor</a></span><span class="keyword">(</span><span class="symbol">x</span><span class="keyword">)</span><span class="keyword">]</span> -<span class="symbol">m</span> <span class="assignement"><-</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/stats/topics/lm'>lm</a></span><span class="keyword">(</span><span class="symbol">y</span> <span class="keyword">~</span> <span class="symbol">x</span><span class="keyword">,</span> <span class="argument">w</span> <span class="argument">=</span> <span class="symbol">weights</span><span class="keyword">)</span> -<span class="functioncall"><a href='calplot.lm.html'>calplot</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">)</span></div> -<strong class='warning'>Warning message: -Assuming constant prediction variance even though model fit is weighted -</strong> -<p><img src='massart97ex3-5.png' alt='' width='540' height='400' /></p> -<div class='input'> -<span class="comment"># The following concords with the book p. 200</span> -<span class="functioncall"><a href='inverse.predict.html'>inverse.predict</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">,</span> <span class="number">15</span><span class="keyword">,</span> <span class="argument">ws</span> <span class="argument">=</span> <span class="number">1.67</span><span class="keyword">)</span> <span class="comment"># 5.9 +- 2.5</span></div> -<div class='output'>$Prediction -[1] 5.865367 - -$`Standard Error` -[1] 0.8926109 - -$Confidence -[1] 2.478285 - -$`Confidence Limits` -[1] 3.387082 8.343652 - -</div> -<div class='input'><span class="functioncall"><a href='inverse.predict.html'>inverse.predict</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">,</span> <span class="number">90</span><span class="keyword">,</span> <span class="argument">ws</span> <span class="argument">=</span> <span class="number">0.145</span><span class="keyword">)</span> <span class="comment"># 44.1 +- 7.9</span></div> -<div class='output'>$Prediction -[1] 44.06025 - -$`Standard Error` -[1] 2.829162 - -$Confidence -[1] 7.855012 - -$`Confidence Limits` -[1] 36.20523 51.91526 - -</div> -<div class='input'> -<span class="comment"># The LOD is only calculated for models from unweighted regression</span> -<span class="comment"># with this version of chemCal</span> -<span class="symbol">m0</span> <span class="assignement"><-</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/stats/topics/lm'>lm</a></span><span class="keyword">(</span><span class="symbol">y</span> <span class="keyword">~</span> <span class="symbol">x</span><span class="keyword">)</span> -<span class="functioncall"><a href='lod.html'>lod</a></span><span class="keyword">(</span><span class="symbol">m0</span><span class="keyword">)</span></div> -<div class='output'>$x -[1] 5.407085 - -$y - 1 -13.63911 - -</div> -<div class='input'> -<span class="comment"># Limit of quantification from unweighted regression</span> -<span class="functioncall"><a href='loq.html'>loq</a></span><span class="keyword">(</span><span class="symbol">m0</span><span class="keyword">)</span></div> -<div class='output'>$x -[1] 13.97764 - -$y - 1 -30.6235 - -</div> -<div class='input'> -<span class="comment"># For calculating the limit of quantification from a model from weighted</span> -<span class="comment"># regression, we need to supply weights, internally used for inverse.predict</span> -<span class="comment"># If we are not using a variance function, we can use the weight from</span> -<span class="comment"># the above example as a first approximation (x = 15 is close to our</span> -<span class="comment"># loq approx 14 from above).</span> -<span class="functioncall"><a href='loq.html'>loq</a></span><span class="keyword">(</span><span class="symbol">m</span><span class="keyword">,</span> <span class="argument">w.loq</span> <span class="argument">=</span> <span class="number">1.67</span><span class="keyword">)</span></div> -<div class='output'>$x -[1] 7.346195 - -$y - 1 -17.90777 - -</div> -<div class='input'><span class="comment"># The weight for the loq should therefore be derived at x = 7.3 instead</span> -<span class="comment"># of 15, but the graphical procedure of Massart (p. 201) to derive the </span> -<span class="comment"># variances on which the weights are based is quite inaccurate anyway. </span></div></pre> - </div> - <div class="span4 sidebar"> - <!-- <ul> - <li>massart97ex3</li> - </ul> - <ul> - <li>datasets</li> - </ul> --> - - - - - </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>. 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(1997), example 1</li> - - </ul> - <h3>Other</h3> - - - <ul class="index"> - - <li> - <code><a href="chemCal-package.html">chemCal-package</a></code><br /> - Calibration functions for analytical chemistry -</li> - - <li> - <code><a href="massart97ex3.html">massart97ex3</a></code><br />Calibration data from Massart et al. (1997), example 3</li> - - </ul> - </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="https://getbootstrap.com/2.0.4/">bootstrap</a>.</p> - </footer> - </div> - </body> -</html>
\ No newline at end of file diff --git a/docs/calplot.lm-2.png b/docs/reference/calplot-2.png Binary files differindex 7e40a4b..7e40a4b 100644 --- a/docs/calplot.lm-2.png +++ b/docs/reference/calplot-2.png diff --git a/docs/reference/calplot.lm.html b/docs/reference/calplot.lm.html new file mode 100644 index 0000000..f66e636 --- /dev/null +++ b/docs/reference/calplot.lm.html @@ -0,0 +1,177 @@ +<!-- Generated by pkgdown: do not edit by hand --> +<!DOCTYPE html> +<html> + <head> + <meta charset="utf-8"> +<meta http-equiv="X-UA-Compatible" content="IE=edge"> +<meta name="viewport" content="width=device-width, initial-scale=1.0"> + +<title>Plot calibration graphs from univariate linear models — calplot • chemCal</title> + +<!-- jquery --> +<script src="https://code.jquery.com/jquery-3.1.0.min.js" integrity="sha384-nrOSfDHtoPMzJHjVTdCopGqIqeYETSXhZDFyniQ8ZHcVy08QesyHcnOUpMpqnmWq" crossorigin="anonymous"></script> +<!-- Bootstrap --> + +<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet" integrity="sha384-BVYiiSIFeK1dGmJRAkycuHAHRg32OmUcww7on3RYdg4Va+PmSTsz/K68vbdEjh4u" crossorigin="anonymous"> +<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha384-Tc5IQib027qvyjSMfHjOMaLkfuWVxZxUPnCJA7l2mCWNIpG9mGCD8wGNIcPD7Txa" crossorigin="anonymous"></script> + +<!-- 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"> + + +<!-- pkgdown --> +<link href="../pkgdown.css" rel="stylesheet"> +<script src="../jquery.sticky-kit.min.js"></script> +<script src="../pkgdown.js"></script> + +<!-- mathjax --> +<script src='https://cdn.mathjax.org/mathjax/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> + <div class="container template-reference-topic"> + <header> + <div class="navbar navbar-default navbar-fixed-top" role="navigation"> + <div class="container"> + <div class="navbar-header"> + <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar"> + <span class="icon-bar"></span> + <span class="icon-bar"></span> + <span class="icon-bar"></span> + </button> + <a class="navbar-brand" href="../index.html">chemCal</a> + </div> + <div id="navbar" class="navbar-collapse collapse"> + <ul class="nav navbar-nav"> + <li> + <a href="../reference/index.html">Reference</a> +</li> +<li> + <a href="../articles/index.html">Articles</a> +</li> + </ul> + + <ul class="nav navbar-nav navbar-right"> + + </ul> + </div><!--/.nav-collapse --> + </div><!--/.container --> +</div><!--/.navbar --> + + + </header> + + <div class="row"> + <div class="col-md-9 contents"> + <div class="page-header"> + <h1>Plot calibration graphs from univariate linear models</h1> + </div> + + + <p>Produce graphics of calibration data, the fitted model as well + as confidence, and, for unweighted regression, prediction bands.</p> + + + <pre><span class='fu'>calplot</span>(<span class='no'>object</span>, <span class='kw'>xlim</span> <span class='kw'>=</span> <span class='fu'>c</span>(<span class='st'>"auto"</span>, <span class='st'>"auto"</span>), <span class='kw'>ylim</span> <span class='kw'>=</span> <span class='fu'>c</span>(<span class='st'>"auto"</span>, <span class='st'>"auto"</span>), + <span class='kw'>xlab</span> <span class='kw'>=</span> <span class='st'>"Concentration"</span>, <span class='kw'>ylab</span> <span class='kw'>=</span> <span class='st'>"Response"</span>, <span class='kw'>alpha</span><span class='kw'>=</span><span class='fl'>0.05</span>, <span class='kw'>varfunc</span> <span class='kw'>=</span> <span class='kw'>NULL</span>)</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 + <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>. + </dd> + <dt>xlim</dt> + <dd> + The limits of the plot on the x axis. + </dd> + <dt>ylim</dt> + <dd> + The limits of the plot on the y axis. + </dd> + <dt>xlab</dt> + <dd> + The label of the x axis. + </dd> + <dt>ylab</dt> + <dd> + The label of the y axis. + </dd> + <dt>alpha</dt> + <dd> + The error tolerance level for the confidence and prediction bands. Note that this + includes both tails of the Gaussian distribution, unlike the alpha and beta parameters + used in <code><a href='lod.html'>lod</a></code> (see note below). + </dd> + <dt>varfunc</dt> + <dd> + The variance function for generating the weights in the model. + Currently, this argument is ignored (see note below). + </dd> + </dl> + + <h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2> + + <p>A plot of the calibration data, of your fitted model as well as lines showing + the confidence limits. Prediction limits are only shown for models from + unweighted regression.</p> + + <h2 class="hasAnchor" id="note"><a class="anchor" href="#note"></a>Note</h2> + + <p>Prediction bands for models from weighted linear regression require weights + for the data, for which responses should be predicted. Prediction intervals + using weights e.g. from a variance function are currently not supported by + the internally used function <code>predict.lm</code>, therefore, + <code>calplot</code> does not draw prediction bands for such models.</p> + <p>It is possible to compare the <code>calplot</code> prediction bands with the + <code><a href='lod.html'>lod</a></code> values if the <code>lod()</code> alpha and beta parameters are + half the value of the <code>calplot()</code> alpha parameter.</p> + + + <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2> + <pre class="examples"><div class='input'><span class='fu'>data</span>(<span class='no'>massart97ex3</span>) +<span class='no'>m</span> <span class='kw'><-</span> <span class='fu'>lm</span>(<span class='no'>y</span> ~ <span class='no'>x</span>, <span class='kw'>data</span> <span class='kw'>=</span> <span class='no'>massart97ex3</span>) +<span class='fu'>calplot</span>(<span class='no'>m</span>)</div><img src='calplot-2.png' alt='' width='540' height='400' /></pre> + </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="#note">Note</a></li> + + <li><a href="#examples">Examples</a></li> + </ul> + + <h2>Author</h2> + + Johannes Ranke + <a href='mailto:jranke@uni-bremen.de'>jranke@uni-bremen.de</a> + <a href = 'http://www.uft.uni-bremen.de/chemie/ranke'>http://www.uft.uni-bremen.de/chemie/ranke</a> + + </div> +</div> + + <footer> + <div class="copyright"> + <p>Developed by Johannes Ranke.</p> +</div> + +<div class="pkgdown"> + <p>Site built with <a href="http://hadley.github.io/pkgdown/">pkgdown</a>.</p> +</div> + + </footer> + </div> + + </body> +</html> diff --git a/docs/reference/chemCal-package.html b/docs/reference/chemCal-package.html new file mode 100644 index 0000000..18e3822 --- /dev/null +++ b/docs/reference/chemCal-package.html @@ -0,0 +1,115 @@ +<!-- Generated by pkgdown: do not edit by hand --> +<!DOCTYPE html> +<html> + <head> + <meta charset="utf-8"> +<meta http-equiv="X-UA-Compatible" content="IE=edge"> +<meta name="viewport" content="width=device-width, initial-scale=1.0"> + +<title> + — chemCal-package • chemCal</title> + +<!-- jquery --> +<script src="https://code.jquery.com/jquery-3.1.0.min.js" integrity="sha384-nrOSfDHtoPMzJHjVTdCopGqIqeYETSXhZDFyniQ8ZHcVy08QesyHcnOUpMpqnmWq" crossorigin="anonymous"></script> +<!-- Bootstrap --> + +<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet" integrity="sha384-BVYiiSIFeK1dGmJRAkycuHAHRg32OmUcww7on3RYdg4Va+PmSTsz/K68vbdEjh4u" crossorigin="anonymous"> +<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha384-Tc5IQib027qvyjSMfHjOMaLkfuWVxZxUPnCJA7l2mCWNIpG9mGCD8wGNIcPD7Txa" crossorigin="anonymous"></script> + +<!-- Font Awesome icons 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data-target="#navbar"> + <span class="icon-bar"></span> + <span class="icon-bar"></span> + <span class="icon-bar"></span> + </button> + <a class="navbar-brand" href="../index.html">chemCal</a> + </div> + <div id="navbar" class="navbar-collapse collapse"> + <ul class="nav navbar-nav"> + <li> + <a href="../reference/index.html">Reference</a> +</li> +<li> + <a href="../articles/index.html">Articles</a> +</li> + </ul> + + <ul class="nav navbar-nav navbar-right"> + + </ul> + </div><!--/.nav-collapse --> + </div><!--/.container --> +</div><!--/.navbar --> + + + </header> + + <div class="row"> + <div class="col-md-9 contents"> + <div class="page-header"> + <h1> +</h1> + </div> + + + <p>See <a href = '../DESCRIPTION'>../DESCRIPTION</a></p> + + + + <h2 class="hasAnchor" id="details"><a class="anchor" href="#details"></a>Details</h2> + + <p>There is a package vignette located in <a href = '../doc/chemCal.pdf'>../doc/chemCal.pdf</a>.</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="#details">Details</a></li> + </ul> + + <h2>Author</h2> + + Author and Maintainer: Johannes Ranke <jranke@uni-bremen.de> + + </div> +</div> + + <footer> + <div class="copyright"> + <p>Developed by Johannes Ranke.</p> +</div> + +<div class="pkgdown"> + <p>Site built with <a href="http://hadley.github.io/pkgdown/">pkgdown</a>.</p> +</div> + + </footer> + </div> + + </body> +</html> diff --git a/docs/din32645-2.png b/docs/reference/din32645-2.png Binary files differindex 1d1e8ab..1d1e8ab 100644 --- a/docs/din32645-2.png +++ b/docs/reference/din32645-2.png diff --git a/docs/reference/din32645.html b/docs/reference/din32645.html new file mode 100644 index 0000000..1b64592 --- /dev/null +++ b/docs/reference/din32645.html @@ -0,0 +1,175 @@ +<!-- Generated by pkgdown: do not edit by hand --> +<!DOCTYPE html> +<html> + <head> + <meta charset="utf-8"> +<meta http-equiv="X-UA-Compatible" content="IE=edge"> +<meta name="viewport" content="width=device-width, initial-scale=1.0"> + +<title>Calibration data from DIN 32645 — din32645 • chemCal</title> + +<!-- jquery --> +<script src="https://code.jquery.com/jquery-3.1.0.min.js" integrity="sha384-nrOSfDHtoPMzJHjVTdCopGqIqeYETSXhZDFyniQ8ZHcVy08QesyHcnOUpMpqnmWq" crossorigin="anonymous"></script> +<!-- Bootstrap --> + +<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet" integrity="sha384-BVYiiSIFeK1dGmJRAkycuHAHRg32OmUcww7on3RYdg4Va+PmSTsz/K68vbdEjh4u" crossorigin="anonymous"> +<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha384-Tc5IQib027qvyjSMfHjOMaLkfuWVxZxUPnCJA7l2mCWNIpG9mGCD8wGNIcPD7Txa" crossorigin="anonymous"></script> + +<!-- 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" 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<div id="navbar" class="navbar-collapse collapse"> + <ul class="nav navbar-nav"> + <li> + <a href="../reference/index.html">Reference</a> +</li> +<li> + <a href="../articles/index.html">Articles</a> +</li> + </ul> + + <ul class="nav navbar-nav navbar-right"> + + </ul> + </div><!--/.nav-collapse --> + </div><!--/.container --> +</div><!--/.navbar --> + + + </header> + + <div class="row"> + <div class="col-md-9 contents"> + <div class="page-header"> + <h1>Calibration data from DIN 32645</h1> + </div> + + + <p>Sample dataset to test the package.</p> + + + <pre><span class='fu'>data</span>(<span class='no'>din32645</span>)</pre> + + <h2 class="hasAnchor" id="format"><a class="anchor" href="#format"></a>Format</h2> + + <p>A dataframe containing 10 rows of x and y values.</p> + + <h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>References</h2> + + <p>DIN 32645 (equivalent to ISO 11843), Beuth Verlag, Berlin, 1994</p> + <p>Dintest. Plugin for MS Excel for evaluations of calibration data. Written + by Georg Schmitt, University of Heidelberg. Formerly available from + the Website of the University of Heidelberg.</p> + <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="examples"><a class="anchor" href="#examples"></a>Examples</h2> + <pre class="examples"><div class='input'><span class='fu'>data</span>(<span class='no'>din32645</span>) +<span class='no'>m</span> <span class='kw'><-</span> <span class='fu'>lm</span>(<span class='no'>y</span> ~ <span class='no'>x</span>, <span class='kw'>data</span> <span class='kw'>=</span> <span class='no'>din32645</span>) +<span class='fu'><a href='calplot.html'>calplot</a></span>(<span class='no'>m</span>)</div><img src='din32645-2.png' alt='' width='540' height='400' /><div class='input'> +<span class='co'>## Prediction of x with confidence interval</span> +(<span class='no'>prediction</span> <span class='kw'><-</span> <span class='fu'><a href='inverse.predict.html'>inverse.predict</a></span>(<span class='no'>m</span>, <span class='fl'>3500</span>, <span class='kw'>alpha</span> <span class='kw'>=</span> <span class='fl'>0.01</span>))</div><div class='output co'>#> $Prediction +#> [1] 0.1054792 +#> +#> $`Standard Error` +#> [1] 0.02215619 +#> +#> $Confidence +#> [1] 0.07434261 +#> +#> $`Confidence Limits` +#> [1] 0.03113656 0.17982178 +#> </div><div class='input'> +<span class='co'># This should give 0.07434 according to test data from Dintest, which </span> +<span class='co'># was collected from Procontrol 3.1 (isomehr GmbH) in this case</span> +<span class='fu'>round</span>(<span class='no'>prediction</span>$<span class='no'>Confidence</span>,<span class='fl'>5</span>)</div><div class='output co'>#> [1] 0.07434</div><div class='input'> +<span class='co'>## Critical value:</span> +(<span class='no'>crit</span> <span class='kw'><-</span> <span class='fu'><a href='lod.html'>lod</a></span>(<span class='no'>m</span>, <span class='kw'>alpha</span> <span class='kw'>=</span> <span class='fl'>0.01</span>, <span class='kw'>beta</span> <span class='kw'>=</span> <span class='fl'>0.5</span>))</div><div class='output co'>#> $x +#> [1] 0.0698127 +#> +#> $y +#> 1 +#> 3155.393 +#> </div><div class='input'> +<span class='co'># According to DIN 32645, we should get 0.07 for the critical value</span> +<span class='co'># (decision limit, "Nachweisgrenze")</span> +<span class='fu'>round</span>(<span class='no'>crit</span>$<span class='no'>x</span>, <span class='fl'>2</span>)</div><div class='output co'>#> [1] 0.07</div><div class='input'><span class='co'># and according to Dintest test data, we should get 0.0698 from</span> +<span class='fu'>round</span>(<span class='no'>crit</span>$<span class='no'>x</span>, <span class='fl'>4</span>)</div><div class='output co'>#> [1] 0.0698</div><div class='input'> +<span class='co'>## Limit of detection (smallest detectable value given alpha and beta)</span> +<span class='co'># In German, the smallest detectable value is the "Erfassungsgrenze", and we</span> +<span class='co'># should get 0.14 according to DIN, which we achieve by using the method </span> +<span class='co'># described in it:</span> +<span class='no'>lod.din</span> <span class='kw'><-</span> <span class='fu'><a href='lod.html'>lod</a></span>(<span class='no'>m</span>, <span class='kw'>alpha</span> <span class='kw'>=</span> <span class='fl'>0.01</span>, <span class='kw'>beta</span> <span class='kw'>=</span> <span class='fl'>0.01</span>, <span class='kw'>method</span> <span class='kw'>=</span> <span class='st'>"din"</span>) +<span class='fu'>round</span>(<span class='no'>lod.din</span>$<span class='no'>x</span>, <span class='fl'>2</span>)</div><div class='output co'>#> [1] 0.14</div><div class='input'> +<span class='co'>## Limit of quantification</span> +<span class='co'># This accords to the test data coming with the test data from Dintest again, </span> +<span class='co'># except for the last digits of the value cited for Procontrol 3.1 (0.2121)</span> +(<span class='no'>loq</span> <span class='kw'><-</span> <span class='fu'><a href='loq.html'>loq</a></span>(<span class='no'>m</span>, <span class='kw'>alpha</span> <span class='kw'>=</span> <span class='fl'>0.01</span>))</div><div class='output co'>#> $x +#> [1] 0.2119575 +#> +#> $y +#> 1 +#> 4528.787 +#> </div><div class='input'><span class='fu'>round</span>(<span class='no'>loq</span>$<span class='no'>x</span>,<span class='fl'>4</span>)</div><div class='output co'>#> [1] 0.212</div><div class='input'> +<span class='co'># A similar value is obtained using the approximation </span> +<span class='co'># LQ = 3.04 * LC (Currie 1999, p. 120)</span> +<span class='fl'>3.04</span> * <span class='fu'><a href='lod.html'>lod</a></span>(<span class='no'>m</span>,<span class='kw'>alpha</span> <span class='kw'>=</span> <span class='fl'>0.01</span>, <span class='kw'>beta</span> <span class='kw'>=</span> <span class='fl'>0.5</span>)$<span class='no'>x</span></div><div class='output co'>#> [1] 0.2122306</div></pre> + </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="#format">Format</a></li> + + <li><a href="#references">References</a></li> + + <li><a href="#examples">Examples</a></li> + </ul> + + </div> +</div> + + <footer> + <div class="copyright"> + <p>Developed by Johannes Ranke.</p> +</div> + +<div class="pkgdown"> + <p>Site built with <a href="http://hadley.github.io/pkgdown/">pkgdown</a>.</p> +</div> + + </footer> + </div> + + </body> +</html> diff --git a/docs/reference/index.html b/docs/reference/index.html new file mode 100644 index 0000000..b55336a --- /dev/null +++ b/docs/reference/index.html @@ -0,0 +1,146 @@ +<!-- Generated by pkgdown: do not edit by hand --> +<!DOCTYPE html> +<html> + <head> + <meta charset="utf-8"> +<meta http-equiv="X-UA-Compatible" content="IE=edge"> +<meta name="viewport" content="width=device-width, initial-scale=1.0"> + +<title>Function 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href="../reference/index.html">Reference</a> +</li> +<li> + <a href="../articles/index.html">Articles</a> +</li> + </ul> + + <ul class="nav navbar-nav navbar-right"> + + </ul> + </div><!--/.nav-collapse --> + </div><!--/.container --> +</div><!--/.navbar --> + + + </header> + + <div class="row"> + <div class="col-md-9"> + <div class="page-header"> + <h1>Function reference</h1> + <h4>version 0.1-37.9000</h4> + </div> + + <div class="contents"> + <h2 id="section-all-functions" class="hasAnchor"><a href="#section-all-functions" class="anchor"></a>All functions</h2> + <p class="section-desc"></p> + + + <p><a href="calplot.lm.html">Plot calibration graphs from univariate linear models</a></p> + <ul> + <li><code><a href="calplot.lm.html">calplot</a></code></li><li><code><a href="calplot.lm.html">calplot.default</a></code></li><li><code><a href="calplot.lm.html">calplot.lm</a></code></li> + </ul> + + <p><a href="chemCal-package.html"> +</a></p> + <ul> + <li><code><a href="chemCal-package.html">chemCal-package</a></code></li> + </ul> + + <p><a href="din32645.html">Calibration data from DIN 32645</a></p> + <ul> + <li><code><a href="din32645.html">din32645</a></code></li> + </ul> + + <p><a href="inverse.predict.html">Predict x from y for a linear calibration</a></p> + <ul> + <li><code><a href="inverse.predict.html">inverse.predict</a></code></li><li><code><a href="inverse.predict.html">inverse.predict.lm</a></code></li><li><code><a href="inverse.predict.html">inverse.predict.rlm</a></code></li><li><code><a href="inverse.predict.html">inverse.predict.default</a></code></li> + </ul> + + <p><a href="lod.html">Estimate a limit of detection (LOD)</a></p> + <ul> + <li><code><a href="lod.html">lod</a></code></li><li><code><a href="lod.html">lod.lm</a></code></li><li><code><a href="lod.html">lod.rlm</a></code></li><li><code><a href="lod.html">lod.default</a></code></li> + </ul> + + <p><a href="loq.html">Estimate a limit of quantification (LOQ)</a></p> + <ul> + <li><code><a href="loq.html">loq</a></code></li><li><code><a href="loq.html">loq.lm</a></code></li><li><code><a href="loq.html">loq.rlm</a></code></li><li><code><a href="loq.html">loq.default</a></code></li> + </ul> + + <p><a href="massart97ex1.html">Calibration data from Massart et al. (1997), example 1</a></p> + <ul> + <li><code><a href="massart97ex1.html">massart97ex1</a></code></li> + </ul> + + <p><a href="massart97ex3.html">Calibration data from Massart et al. (1997), example 3</a></p> + <ul> + <li><code><a href="massart97ex3.html">massart97ex3</a></code></li> + </ul> + + </div> + </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="#section-all-functions">All functions</a></li> + </ul> + </div> +</div> + + <footer> + <div class="copyright"> + <p>Developed by Johannes Ranke.</p> +</div> + +<div class="pkgdown"> + <p>Site built with <a href="http://hadley.github.io/pkgdown/">pkgdown</a>.</p> +</div> + + </footer> + </div> + + </body> +</html> diff --git a/docs/reference/inverse.predict.html b/docs/reference/inverse.predict.html new file mode 100644 index 0000000..60d169c --- /dev/null +++ b/docs/reference/inverse.predict.html @@ -0,0 +1,211 @@ +<!-- Generated by pkgdown: do not edit by hand --> +<!DOCTYPE html> +<html> + <head> + <meta charset="utf-8"> +<meta http-equiv="X-UA-Compatible" content="IE=edge"> +<meta name="viewport" content="width=device-width, initial-scale=1.0"> + +<title>Predict x from y for a linear calibration — inverse.predict • chemCal</title> + +<!-- jquery --> +<script src="https://code.jquery.com/jquery-3.1.0.min.js" integrity="sha384-nrOSfDHtoPMzJHjVTdCopGqIqeYETSXhZDFyniQ8ZHcVy08QesyHcnOUpMpqnmWq" crossorigin="anonymous"></script> +<!-- Bootstrap --> + +<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet" integrity="sha384-BVYiiSIFeK1dGmJRAkycuHAHRg32OmUcww7on3RYdg4Va+PmSTsz/K68vbdEjh4u" crossorigin="anonymous"> +<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha384-Tc5IQib027qvyjSMfHjOMaLkfuWVxZxUPnCJA7l2mCWNIpG9mGCD8wGNIcPD7Txa" crossorigin="anonymous"></script> + +<!-- 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"> + + +<!-- pkgdown --> +<link href="../pkgdown.css" rel="stylesheet"> +<script src="../jquery.sticky-kit.min.js"></script> +<script src="../pkgdown.js"></script> + +<!-- mathjax --> +<script src='https://cdn.mathjax.org/mathjax/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> + <div class="container template-reference-topic"> + <header> + <div class="navbar navbar-default navbar-fixed-top" role="navigation"> + <div class="container"> + <div class="navbar-header"> + <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar"> + <span class="icon-bar"></span> + <span class="icon-bar"></span> + <span class="icon-bar"></span> + </button> + <a class="navbar-brand" href="../index.html">chemCal</a> + </div> + <div id="navbar" class="navbar-collapse collapse"> + <ul class="nav navbar-nav"> + <li> + <a href="../reference/index.html">Reference</a> +</li> +<li> + <a href="../articles/index.html">Articles</a> +</li> + </ul> + + <ul class="nav navbar-nav navbar-right"> + + </ul> + </div><!--/.nav-collapse --> + </div><!--/.container --> +</div><!--/.navbar --> + + + </header> + + <div class="row"> + <div class="col-md-9 contents"> + <div class="page-header"> + <h1>Predict x from y for a linear calibration</h1> + </div> + + + <p>This function predicts x values using a univariate linear model that has been + generated for the purpose of calibrating a measurement method. Prediction + intervals are given at the specified confidence level. + The calculation method was taken from Massart et al. (1997). In particular, + Equations 8.26 and 8.28 were combined in order to yield a general treatment + of inverse prediction for univariate linear models, taking into account + weights that have been used to create the linear model, and at the same + time providing the possibility to specify a precision in sample measurements + differing from the precision in standard samples used for the calibration. + This is elaborated in the package vignette.</p> + + + <pre>inverse.predict(object, newdata, …, + ws, alpha=0.05, var.s = "auto")</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 + <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>. + </dd> + <dt>newdata</dt> + <dd> + A vector of observed y values for one sample. + </dd> + <dt>…</dt> + <dd> + Placeholder for further arguments that might be needed by + future implementations. + </dd> + <dt>ws</dt> + <dd> + The weight attributed to the sample. This argument is obligatory + if <code>object</code> has weights. + </dd> + <dt>alpha</dt> + <dd> + The error tolerance level for the confidence interval to be reported. + </dd> + <dt>var.s</dt> + <dd> + The estimated variance of the sample measurements. The default is to take + the residual standard error from the calibration and to adjust it + using <code>ws</code>, if applicable. This means that <code>var.s</code> + overrides <code>ws</code>. + </dd> + </dl> + + <h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2> + + <p>A list containing the predicted x value, its standard error and a + confidence interval.</p> + + <h2 class="hasAnchor" id="note"><a class="anchor" href="#note"></a>Note</h2> + + <p>The function was validated with examples 7 and 8 from Massart et al. (1997).</p> + + <h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>References</h2> + + <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, + p. 200</p> + + + <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2> + <pre class="examples"><div class='input'><span class='co'># This is example 7 from Chapter 8 in Massart et al. (1997)</span> +<span class='fu'>data</span>(<span class='no'>massart97ex1</span>) +<span class='no'>m</span> <span class='kw'><-</span> <span class='fu'>lm</span>(<span class='no'>y</span> ~ <span class='no'>x</span>, <span class='kw'>data</span> <span class='kw'>=</span> <span class='no'>massart97ex1</span>) +<span class='fu'>inverse.predict</span>(<span class='no'>m</span>, <span class='fl'>15</span>) <span class='co'># 6.1 +- 4.9</span></div><div class='output co'>#> $Prediction +#> [1] 6.09381 +#> +#> $`Standard Error` +#> [1] 1.767278 +#> +#> $Confidence +#> [1] 4.906751 +#> +#> $`Confidence Limits` +#> [1] 1.187059 11.000561 +#> </div><div class='input'><span class='fu'>inverse.predict</span>(<span class='no'>m</span>, <span class='fl'>90</span>) <span class='co'># 43.9 +- 4.9</span></div><div class='output co'>#> $Prediction +#> [1] 43.93983 +#> +#> $`Standard Error` +#> [1] 1.767747 +#> +#> $Confidence +#> [1] 4.908053 +#> +#> $`Confidence Limits` +#> [1] 39.03178 48.84788 +#> </div><div class='input'><span class='fu'>inverse.predict</span>(<span class='no'>m</span>, <span class='fu'>rep</span>(<span class='fl'>90</span>,<span class='fl'>5</span>)) <span class='co'># 43.9 +- 3.2</span></div><div class='output co'>#> $Prediction +#> [1] 43.93983 +#> +#> $`Standard Error` +#> [1] 1.141204 +#> +#> $Confidence +#> [1] 3.168489 +#> +#> $`Confidence Limits` +#> [1] 40.77134 47.10832 +#> </div></pre> + </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="#note">Note</a></li> + + <li><a href="#references">References</a></li> + + <li><a href="#examples">Examples</a></li> + </ul> + + </div> +</div> + + <footer> + <div class="copyright"> + <p>Developed by Johannes Ranke.</p> +</div> + +<div class="pkgdown"> + <p>Site built with <a href="http://hadley.github.io/pkgdown/">pkgdown</a>.</p> +</div> + + </footer> + </div> + + </body> +</html> diff --git a/docs/reference/lod.html b/docs/reference/lod.html new file mode 100644 index 0000000..7c33d47 --- /dev/null +++ b/docs/reference/lod.html @@ -0,0 +1,210 @@ +<!-- Generated by pkgdown: do not edit by hand --> +<!DOCTYPE html> +<html> + <head> + <meta charset="utf-8"> +<meta http-equiv="X-UA-Compatible" content="IE=edge"> +<meta name="viewport" content="width=device-width, initial-scale=1.0"> + +<title>Estimate a limit of detection (LOD) — lod • chemCal</title> + +<!-- jquery --> +<script src="https://code.jquery.com/jquery-3.1.0.min.js" integrity="sha384-nrOSfDHtoPMzJHjVTdCopGqIqeYETSXhZDFyniQ8ZHcVy08QesyHcnOUpMpqnmWq" crossorigin="anonymous"></script> +<!-- Bootstrap --> + +<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet" integrity="sha384-BVYiiSIFeK1dGmJRAkycuHAHRg32OmUcww7on3RYdg4Va+PmSTsz/K68vbdEjh4u" crossorigin="anonymous"> +<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha384-Tc5IQib027qvyjSMfHjOMaLkfuWVxZxUPnCJA7l2mCWNIpG9mGCD8wGNIcPD7Txa" crossorigin="anonymous"></script> + +<!-- 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"> + + +<!-- pkgdown --> +<link href="../pkgdown.css" rel="stylesheet"> +<script src="../jquery.sticky-kit.min.js"></script> +<script src="../pkgdown.js"></script> + +<!-- mathjax --> +<script src='https://cdn.mathjax.org/mathjax/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> + <div class="container template-reference-topic"> + <header> + <div class="navbar navbar-default navbar-fixed-top" role="navigation"> + <div class="container"> + <div class="navbar-header"> + <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar"> + <span class="icon-bar"></span> + <span class="icon-bar"></span> + <span class="icon-bar"></span> + </button> + <a class="navbar-brand" href="../index.html">chemCal</a> + </div> + <div id="navbar" class="navbar-collapse collapse"> + <ul class="nav navbar-nav"> + <li> + <a href="../reference/index.html">Reference</a> +</li> +<li> + <a href="../articles/index.html">Articles</a> +</li> + </ul> + + <ul class="nav navbar-nav navbar-right"> + + </ul> + </div><!--/.nav-collapse --> + </div><!--/.container --> +</div><!--/.navbar --> + + + </header> + + <div class="row"> + <div class="col-md-9 contents"> + <div class="page-header"> + <h1>Estimate a limit of detection (LOD)</h1> + </div> + + + <p>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).</p> + + + <pre>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 + <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 + 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 + 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> + + <h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2> + + <p>A list containig the corresponding x and y values of the estimated limit of + detection of a model used for calibration.</p> + + <h2 class="hasAnchor" id="note"><a class="anchor" href="#note"></a>Note</h2> + + <p>- The default values for alpha and beta are the ones recommended by IUPAC. + - The estimation of the LOD in terms of the analyte amount/concentration + xD from the LOD in the signal domain SD is done by simply inverting the + calibration function (i.e. assuming a known calibration function). + - The calculation of a LOD from weighted calibration models requires + a weights argument for the internally used <code>predict.lm</code> + function, which is currently not supported in R.</p> + + <h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>References</h2> + + <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 + Applied Chemistry Compendium of Analytical Nomenclature: Definitive Rules. + Web edition.</p> + <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> + + + <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2> + <pre class="examples"><div class='input'><span class='fu'>data</span>(<span class='no'>din32645</span>) +<span class='no'>m</span> <span class='kw'><-</span> <span class='fu'>lm</span>(<span class='no'>y</span> ~ <span class='no'>x</span>, <span class='kw'>data</span> <span class='kw'>=</span> <span class='no'>din32645</span>) +<span class='fu'>lod</span>(<span class='no'>m</span>)</div><div class='output co'>#> $x +#> [1] 0.08655484 +#> +#> $y +#> 1 +#> 3317.154 +#> </div><div class='input'> +<span class='co'># The critical value (decision limit, German Nachweisgrenze) can be obtained</span> +<span class='co'># by using beta = 0.5:</span> +<span class='fu'>lod</span>(<span class='no'>m</span>, <span class='kw'>alpha</span> <span class='kw'>=</span> <span class='fl'>0.01</span>, <span class='kw'>beta</span> <span class='kw'>=</span> <span class='fl'>0.5</span>)</div><div class='output co'>#> $x +#> [1] 0.0698127 +#> +#> $y +#> 1 +#> 3155.393 +#> </div></pre> + </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="#note">Note</a></li> + + <li><a href="#references">References</a></li> + + <li><a href="#see-also">See also</a></li> + + <li><a href="#examples">Examples</a></li> + </ul> + + </div> +</div> + + <footer> + <div class="copyright"> + <p>Developed by Johannes Ranke.</p> +</div> + +<div class="pkgdown"> + <p>Site built with <a href="http://hadley.github.io/pkgdown/">pkgdown</a>.</p> +</div> + + </footer> + </div> + + </body> +</html> diff --git a/docs/reference/loq.html b/docs/reference/loq.html new file mode 100644 index 0000000..bc62e75 --- /dev/null +++ b/docs/reference/loq.html @@ -0,0 +1,205 @@ +<!-- Generated by pkgdown: do not edit by hand --> +<!DOCTYPE html> +<html> + <head> + <meta charset="utf-8"> +<meta http-equiv="X-UA-Compatible" content="IE=edge"> +<meta name="viewport" content="width=device-width, initial-scale=1.0"> + +<title>Estimate a limit of quantification (LOQ) — loq • chemCal</title> + +<!-- jquery --> +<script src="https://code.jquery.com/jquery-3.1.0.min.js" integrity="sha384-nrOSfDHtoPMzJHjVTdCopGqIqeYETSXhZDFyniQ8ZHcVy08QesyHcnOUpMpqnmWq" crossorigin="anonymous"></script> +<!-- Bootstrap --> + +<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet" integrity="sha384-BVYiiSIFeK1dGmJRAkycuHAHRg32OmUcww7on3RYdg4Va+PmSTsz/K68vbdEjh4u" crossorigin="anonymous"> +<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha384-Tc5IQib027qvyjSMfHjOMaLkfuWVxZxUPnCJA7l2mCWNIpG9mGCD8wGNIcPD7Txa" crossorigin="anonymous"></script> + +<!-- 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"> + + +<!-- pkgdown --> +<link href="../pkgdown.css" rel="stylesheet"> +<script src="../jquery.sticky-kit.min.js"></script> +<script src="../pkgdown.js"></script> + +<!-- mathjax --> +<script src='https://cdn.mathjax.org/mathjax/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> + <div class="container template-reference-topic"> + <header> + <div class="navbar navbar-default navbar-fixed-top" role="navigation"> + <div class="container"> + <div class="navbar-header"> + <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar"> + <span class="icon-bar"></span> + <span class="icon-bar"></span> + <span class="icon-bar"></span> + </button> + <a class="navbar-brand" href="../index.html">chemCal</a> + </div> + <div id="navbar" class="navbar-collapse collapse"> + <ul class="nav navbar-nav"> + <li> + <a href="../reference/index.html">Reference</a> +</li> +<li> + <a href="../articles/index.html">Articles</a> +</li> + </ul> + + <ul class="nav navbar-nav navbar-right"> + + </ul> + </div><!--/.nav-collapse --> + </div><!--/.container --> +</div><!--/.navbar --> + + + </header> + + <div class="row"> + <div class="col-md-9 contents"> + <div class="page-header"> + <h1>Estimate a limit of quantification (LOQ)</h1> + </div> + + + <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> + + + <pre>loq(object, …, 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 + <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>…</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> + + <h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2> + + <p>The estimated limit of quantification for a model used for calibration.</p> + + <h2 class="hasAnchor" id="note"><a class="anchor" href="#note"></a>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> + + <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> + + + <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2> + <pre class="examples"><div class='input'><span class='fu'>data</span>(<span class='no'>massart97ex3</span>) +<span class='fu'>attach</span>(<span class='no'>massart97ex3</span>) +<span class='no'>m</span> <span class='kw'><-</span> <span class='fu'>lm</span>(<span class='no'>y</span> ~ <span class='no'>x</span>) +<span class='fu'>loq</span>(<span class='no'>m</span>)</div><div class='output co'>#> $x +#> [1] 13.97764 +#> +#> $y +#> 1 +#> 30.6235 +#> </div><div class='input'> +<span class='co'># We can get better by using replicate measurements</span> +<span class='fu'>loq</span>(<span class='no'>m</span>, <span class='kw'>n</span> <span class='kw'>=</span> <span class='fl'>3</span>)</div><div class='output co'>#> $x +#> [1] 9.971963 +#> +#> $y +#> 1 +#> 22.68539 +#> </div></pre> + </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="#note">Note</a></li> + + <li><a href="#see-also">See also</a></li> + + <li><a href="#examples">Examples</a></li> + </ul> + + </div> +</div> + + <footer> + <div class="copyright"> + <p>Developed by Johannes Ranke.</p> +</div> + +<div class="pkgdown"> + <p>Site built with <a href="http://hadley.github.io/pkgdown/">pkgdown</a>.</p> +</div> + + </footer> + </div> + + </body> +</html> diff --git a/docs/reference/massart97ex1.html b/docs/reference/massart97ex1.html new file mode 100644 index 0000000..9b95a5f --- /dev/null +++ b/docs/reference/massart97ex1.html @@ -0,0 +1,118 @@ +<!-- Generated by pkgdown: do not edit by hand --> +<!DOCTYPE html> +<html> + <head> + <meta charset="utf-8"> +<meta http-equiv="X-UA-Compatible" content="IE=edge"> +<meta name="viewport" content="width=device-width, initial-scale=1.0"> + +<title>Calibration data from Massart et al. (1997), example 1 — massart97ex1 • chemCal</title> + +<!-- jquery --> +<script src="https://code.jquery.com/jquery-3.1.0.min.js" integrity="sha384-nrOSfDHtoPMzJHjVTdCopGqIqeYETSXhZDFyniQ8ZHcVy08QesyHcnOUpMpqnmWq" crossorigin="anonymous"></script> +<!-- Bootstrap --> + +<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet" integrity="sha384-BVYiiSIFeK1dGmJRAkycuHAHRg32OmUcww7on3RYdg4Va+PmSTsz/K68vbdEjh4u" crossorigin="anonymous"> +<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha384-Tc5IQib027qvyjSMfHjOMaLkfuWVxZxUPnCJA7l2mCWNIpG9mGCD8wGNIcPD7Txa" crossorigin="anonymous"></script> + +<!-- 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"> + + +<!-- pkgdown --> +<link href="../pkgdown.css" rel="stylesheet"> +<script src="../jquery.sticky-kit.min.js"></script> +<script src="../pkgdown.js"></script> + +<!-- mathjax --> +<script src='https://cdn.mathjax.org/mathjax/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> + <div class="container template-reference-topic"> + <header> + <div class="navbar navbar-default navbar-fixed-top" role="navigation"> + <div class="container"> + <div class="navbar-header"> + <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar"> + <span class="icon-bar"></span> + <span class="icon-bar"></span> + <span class="icon-bar"></span> + </button> + <a class="navbar-brand" href="../index.html">chemCal</a> + </div> + <div id="navbar" class="navbar-collapse collapse"> + <ul class="nav navbar-nav"> + <li> + <a href="../reference/index.html">Reference</a> +</li> +<li> + <a href="../articles/index.html">Articles</a> +</li> + </ul> + + <ul class="nav navbar-nav navbar-right"> + + </ul> + </div><!--/.nav-collapse --> + </div><!--/.container --> +</div><!--/.navbar --> + + + </header> + + <div class="row"> + <div class="col-md-9 contents"> + <div class="page-header"> + <h1>Calibration data from Massart et al. (1997), example 1</h1> + </div> + + + <p>Sample dataset from p. 175 to test the package.</p> + + + <pre><span class='fu'>data</span>(<span class='no'>massart97ex1</span>)</pre> + + <h2 class="hasAnchor" id="format"><a class="anchor" href="#format"></a>Format</h2> + + <p>A dataframe containing 6 observations of x and y data.</p> + + <h2 class="hasAnchor" id="source"><a class="anchor" href="#source"></a>Source</h2> + + <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 8.</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="#format">Format</a></li> + + <li><a href="#source">Source</a></li> + </ul> + + </div> +</div> + + <footer> + <div class="copyright"> + <p>Developed by Johannes Ranke.</p> +</div> + +<div class="pkgdown"> + <p>Site built with <a href="http://hadley.github.io/pkgdown/">pkgdown</a>.</p> +</div> + + </footer> + </div> + + </body> +</html> diff --git a/docs/massart97ex3-5.png b/docs/reference/massart97ex3-5.png Binary files differindex c6c080e..c6c080e 100644 --- a/docs/massart97ex3-5.png +++ b/docs/reference/massart97ex3-5.png diff --git a/docs/reference/massart97ex3.html b/docs/reference/massart97ex3.html new file mode 100644 index 0000000..2ec8f6f --- /dev/null +++ b/docs/reference/massart97ex3.html @@ -0,0 +1,188 @@ +<!-- Generated by pkgdown: do not edit by hand --> +<!DOCTYPE html> +<html> + <head> + <meta charset="utf-8"> +<meta http-equiv="X-UA-Compatible" content="IE=edge"> +<meta name="viewport" content="width=device-width, initial-scale=1.0"> + +<title>Calibration data from Massart et al. (1997), example 3 — massart97ex3 • chemCal</title> + +<!-- jquery --> +<script src="https://code.jquery.com/jquery-3.1.0.min.js" integrity="sha384-nrOSfDHtoPMzJHjVTdCopGqIqeYETSXhZDFyniQ8ZHcVy08QesyHcnOUpMpqnmWq" crossorigin="anonymous"></script> +<!-- Bootstrap --> + +<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet" integrity="sha384-BVYiiSIFeK1dGmJRAkycuHAHRg32OmUcww7on3RYdg4Va+PmSTsz/K68vbdEjh4u" crossorigin="anonymous"> +<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha384-Tc5IQib027qvyjSMfHjOMaLkfuWVxZxUPnCJA7l2mCWNIpG9mGCD8wGNIcPD7Txa" crossorigin="anonymous"></script> + +<!-- 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"> + + +<!-- pkgdown --> +<link href="../pkgdown.css" rel="stylesheet"> +<script src="../jquery.sticky-kit.min.js"></script> +<script src="../pkgdown.js"></script> + +<!-- mathjax --> +<script src='https://cdn.mathjax.org/mathjax/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> + <div class="container template-reference-topic"> + <header> + <div class="navbar navbar-default navbar-fixed-top" role="navigation"> + <div class="container"> + <div class="navbar-header"> + <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar"> + <span class="icon-bar"></span> + <span class="icon-bar"></span> + <span class="icon-bar"></span> + </button> + <a class="navbar-brand" href="../index.html">chemCal</a> + </div> + <div id="navbar" class="navbar-collapse collapse"> + <ul class="nav navbar-nav"> + <li> + <a href="../reference/index.html">Reference</a> +</li> +<li> + <a href="../articles/index.html">Articles</a> +</li> + </ul> + + <ul class="nav navbar-nav navbar-right"> + + </ul> + </div><!--/.nav-collapse --> + </div><!--/.container --> +</div><!--/.navbar --> + + + </header> + + <div class="row"> + <div class="col-md-9 contents"> + <div class="page-header"> + <h1>Calibration data from Massart et al. (1997), example 3</h1> + </div> + + + <p>Sample dataset from p. 188 to test the package.</p> + + + <pre><span class='fu'>data</span>(<span class='no'>massart97ex3</span>)</pre> + + <h2 class="hasAnchor" id="format"><a class="anchor" href="#format"></a>Format</h2> + + <p>A dataframe containing 6 levels of x values with 5 + observations of y for each level.</p> + + <h2 class="hasAnchor" id="source"><a class="anchor" href="#source"></a>Source</h2> + + <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 8.</p> + + + <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2> + <pre class="examples"><div class='input'><span class='fu'>data</span>(<span class='no'>massart97ex3</span>) +<span class='fu'>attach</span>(<span class='no'>massart97ex3</span>)</div><div class='output co'>#> <span class='message'>The following objects are masked from massart97ex3 (pos = 3):</span> +#> <span class='message'></span> +#> <span class='message'> x, y</span></div><div class='input'><span class='no'>yx</span> <span class='kw'><-</span> <span class='fu'>split</span>(<span class='no'>y</span>, <span class='no'>x</span>) +<span class='no'>ybar</span> <span class='kw'><-</span> <span class='fu'>sapply</span>(<span class='no'>yx</span>, <span class='no'>mean</span>) +<span class='no'>s</span> <span class='kw'><-</span> <span class='fu'>round</span>(<span class='fu'>sapply</span>(<span class='no'>yx</span>, <span class='no'>sd</span>), <span class='kw'>digits</span> <span class='kw'>=</span> <span class='fl'>2</span>) +<span class='no'>w</span> <span class='kw'><-</span> <span class='fu'>round</span>(<span class='fl'>1</span> / (<span class='no'>s</span>^<span class='fl'>2</span>), <span class='kw'>digits</span> <span class='kw'>=</span> <span class='fl'>3</span>) +<span class='no'>weights</span> <span class='kw'><-</span> <span class='no'>w</span>[<span class='fu'>factor</span>(<span class='no'>x</span>)] +<span class='no'>m</span> <span class='kw'><-</span> <span class='fu'>lm</span>(<span class='no'>y</span> ~ <span class='no'>x</span>, <span class='kw'>w</span> <span class='kw'>=</span> <span class='no'>weights</span>) +<span class='fu'><a href='calplot.html'>calplot</a></span>(<span class='no'>m</span>)</div><div class='output co'>#> <span class='warning'>Warning: Assuming constant prediction variance even though model fit is weighted</span></div><img src='massart97ex3-5.png' alt='' width='540' height='400' /><div class='input'> +<span class='co'># The following concords with the book p. 200</span> +<span class='fu'><a href='inverse.predict.html'>inverse.predict</a></span>(<span class='no'>m</span>, <span class='fl'>15</span>, <span class='kw'>ws</span> <span class='kw'>=</span> <span class='fl'>1.67</span>) <span class='co'># 5.9 +- 2.5</span></div><div class='output co'>#> $Prediction +#> [1] 5.865367 +#> +#> $`Standard Error` +#> [1] 0.8926109 +#> +#> $Confidence +#> [1] 2.478285 +#> +#> $`Confidence Limits` +#> [1] 3.387082 8.343652 +#> </div><div class='input'><span class='fu'><a href='inverse.predict.html'>inverse.predict</a></span>(<span class='no'>m</span>, <span class='fl'>90</span>, <span class='kw'>ws</span> <span class='kw'>=</span> <span class='fl'>0.145</span>) <span class='co'># 44.1 +- 7.9</span></div><div class='output co'>#> $Prediction +#> [1] 44.06025 +#> +#> $`Standard Error` +#> [1] 2.829162 +#> +#> $Confidence +#> [1] 7.855012 +#> +#> $`Confidence Limits` +#> [1] 36.20523 51.91526 +#> </div><div class='input'> +<span class='co'># The LOD is only calculated for models from unweighted regression</span> +<span class='co'># with this version of chemCal</span> +<span class='no'>m0</span> <span class='kw'><-</span> <span class='fu'>lm</span>(<span class='no'>y</span> ~ <span class='no'>x</span>) +<span class='fu'><a href='lod.html'>lod</a></span>(<span class='no'>m0</span>)</div><div class='output co'>#> $x +#> [1] 5.407085 +#> +#> $y +#> 1 +#> 13.63911 +#> </div><div class='input'> +<span class='co'># Limit of quantification from unweighted regression</span> +<span class='fu'><a href='loq.html'>loq</a></span>(<span class='no'>m0</span>)</div><div class='output co'>#> $x +#> [1] 13.97764 +#> +#> $y +#> 1 +#> 30.6235 +#> </div><div class='input'> +<span class='co'># For calculating the limit of quantification from a model from weighted</span> +<span class='co'># regression, we need to supply weights, internally used for inverse.predict</span> +<span class='co'># If we are not using a variance function, we can use the weight from</span> +<span class='co'># the above example as a first approximation (x = 15 is close to our</span> +<span class='co'># loq approx 14 from above).</span> +<span class='fu'><a href='loq.html'>loq</a></span>(<span class='no'>m</span>, <span class='kw'>w.loq</span> <span class='kw'>=</span> <span class='fl'>1.67</span>)</div><div class='output co'>#> $x +#> [1] 7.346195 +#> +#> $y +#> 1 +#> 17.90777 +#> </div><div class='input'><span class='co'># The weight for the loq should therefore be derived at x = 7.3 instead</span> +<span class='co'># of 15, but the graphical procedure of Massart (p. 201) to derive the </span> +<span class='co'># variances on which the weights are based is quite inaccurate anyway. </span></div></pre> + </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="#format">Format</a></li> + + <li><a href="#source">Source</a></li> + + <li><a href="#examples">Examples</a></li> + </ul> + + </div> +</div> + + <footer> + <div class="copyright"> + <p>Developed by Johannes Ranke.</p> +</div> + +<div class="pkgdown"> + <p>Site built with <a href="http://hadley.github.io/pkgdown/">pkgdown</a>.</p> +</div> + + </footer> + </div> + + </body> +</html> diff --git a/docs/vignettes/chemCal.pdf b/docs/vignettes/chemCal.pdf Binary files differdeleted file mode 100644 index cc7c5d8..0000000 --- a/docs/vignettes/chemCal.pdf +++ /dev/null |