aboutsummaryrefslogtreecommitdiff
path: root/inst/web/massart97ex3.html
diff options
context:
space:
mode:
Diffstat (limited to 'inst/web/massart97ex3.html')
-rw-r--r--inst/web/massart97ex3.html198
1 files changed, 198 insertions, 0 deletions
diff --git a/inst/web/massart97ex3.html b/inst/web/massart97ex3.html
new file mode 100644
index 0000000..9f94ed8
--- /dev/null
+++ b/inst/web/massart97ex3.html
@@ -0,0 +1,198 @@
+<!DOCTYPE html>
+<html lang="en">
+ <head>
+ <meta charset="utf-8">
+<title>massart97ex3. chemCal 0.1-35.900</title>
+<meta name="viewport" content="width=device-width, initial-scale=1.0">
+<meta name="author" content="">
+
+<link href="css/bootstrap.css" rel="stylesheet">
+<link href="css/bootstrap-responsive.css" rel="stylesheet">
+<link href="css/highlight.css" rel="stylesheet">
+<link href="css/staticdocs.css" rel="stylesheet">
+
+<!--[if lt IE 9]>
+ <script src="http://html5shim.googlecode.com/svn/trunk/html5.js"></script>
+<![endif]-->
+
+<script type="text/x-mathjax-config">
+ MathJax.Hub.Config({
+ tex2jax: {
+ inlineMath: [ ['$','$'], ["\\(","\\)"] ],
+ processEscapes: true
+ }
+ });
+</script>
+<script type="text/javascript"
+ src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML">
+</script>
+ </head>
+
+ <body>
+ <div class="navbar">
+ <div class="navbar-inner">
+ <div class="container">
+ <a class="brand" href="#">chemCal 0.1-35.900</a>
+ <div class="nav">
+ <ul class="nav">
+ <li><a href="index.html"><i class="icon-home icon-white"></i> Index</a></li>
+ </ul>
+ </div>
+ </div>
+ </div>
+</div>
+
+ <div class="container">
+ <header>
+
+ </header>
+
+ <h1>Calibration data from Massart et al. (1997), example 3</h1>
+
+<div class="row">
+ <div class="span8">
+ <h2>Usage</h2>
+ <pre><div>data(massart97ex3)</div></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'>data(massart97ex3)
+attach(massart97ex3)
+</div>
+<strong class='message'>Die folgenden Objekte sind maskiert von massart97ex3 (pos = 3):
+
+ x, y
+</strong>
+<div class='input'>yx &lt;- split(y, x)
+ybar &lt;- sapply(yx, mean)
+s &lt;- round(sapply(yx, sd), digits = 2)
+w &lt;- round(1 / (s^2), digits = 3)
+weights &lt;- w[factor(x)]
+m &lt;- lm(y ~ x, w = weights)
+calplot(m)
+</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'>
+# The following concords with the book p. 200
+inverse.predict(m, 15, ws = 1.67) # 5.9 +- 2.5
+</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'>inverse.predict(m, 90, ws = 0.145) # 44.1 +- 7.9
+</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'>
+# The LOD is only calculated for models from unweighted regression
+# with this version of chemCal
+m0 &lt;- lm(y ~ x)
+lod(m0)
+</div>
+<div class='output'>$x
+[1] 5.407085
+
+$y
+ 1
+13.63911
+
+</div>
+<div class='input'>
+# Limit of quantification from unweighted regression
+loq(m0)
+</div>
+<div class='output'>$x
+[1] 13.97764
+
+$y
+ 1
+30.6235
+
+</div>
+<div class='input'>
+# For calculating the limit of quantification from a model from weighted
+# regression, we need to supply weights, internally used for inverse.predict
+# If we are not using a variance function, we can use the weight from
+# the above example as a first approximation (x = 15 is close to our
+# loq approx 14 from above).
+loq(m, w.loq = 1.67)
+</div>
+<div class='output'>$x
+[1] 7.346195
+
+$y
+ 1
+17.90777
+
+</div>
+<div class='input'># The weight for the loq should therefore be derived at x = 7.3 instead
+# of 15, but the graphical procedure of Massart (p. 201) to derive the
+# variances on which the weights are based is quite inaccurate anyway.
+</div></pre>
+ </div>
+ <div class="span4">
+ <!-- <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>. Styled with <a href="http://twitter.github.com/bootstrap">bootstrap</a>.</p>
+ </footer>
+ </div>
+ </body>
+</html> \ No newline at end of file

Contact - Imprint