From a77a10ea6c607346778ba0700b3b66ac393101a2 Mon Sep 17 00:00:00 2001 From: Johannes Ranke Date: Wed, 27 May 2020 06:06:08 +0200 Subject: Create up to date pkgdown docs in development mode --- docs/dev/reference/sigma_twocomp.html | 219 ++++++++++++++++++++++++++++++++++ 1 file changed, 219 insertions(+) create mode 100644 docs/dev/reference/sigma_twocomp.html (limited to 'docs/dev/reference/sigma_twocomp.html') diff --git a/docs/dev/reference/sigma_twocomp.html b/docs/dev/reference/sigma_twocomp.html new file mode 100644 index 00000000..eac61a11 --- /dev/null +++ b/docs/dev/reference/sigma_twocomp.html @@ -0,0 +1,219 @@ + + + + + + + + +Two-component error model — sigma_twocomp • mkin + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
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Two-component error model

+ Source: R/sigma_twocomp.R + +
+ +
+

Function describing the standard deviation of the measurement error in +dependence of the measured value \(y\):

+
+ + 
sigma_twocomp(y, sigma_low, rsd_high)
+ +

Arguments

+ + + + + + + + + + + + + + +
y

The magnitude of the observed value

sigma_low

The asymptotic minimum of the standard deviation for low +observed values

rsd_high

The coefficient describing the increase of the standard +deviation with the magnitude of the observed value

+ +

Value

+ +

The standard deviation of the response variable.

+

Details

+ +

$$\sigma = \sqrt{ \sigma_{low}^2 + y^2 * {rsd}_{high}^2}$$ sigma = +sqrt(sigma_low^2 + y^2 * rsd_high^2)

+

This is the error model used for example by Werner et al. (1978). The model +proposed by Rocke and Lorenzato (1995) can be written in this form as well, +but assumes approximate lognormal distribution of errors for high values of +y.

+

References

+ +

Werner, Mario, Brooks, Samuel H., and Knott, Lancaster B. (1978) +Additive, Multiplicative, and Mixed Analytical Errors. Clinical Chemistry +24(11), 1895-1898.

+

Rocke, David M. and Lorenzato, Stefan (1995) A two-component model for +measurement error in analytical chemistry. Technometrics 37(2), 176-184.

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