From 0b98c459c30a0629a728acf6b311de035c55fb64 Mon Sep 17 00:00:00 2001 From: Johannes Ranke Date: Wed, 18 Jul 2018 15:18:30 +0200 Subject: Correct references to the Rocke and Lorenzato model Rename 'sigma_rl' to 'sigma_twocomp' as the Rocke and Lorenzato model assumes lognormal distribution for large y. Rebuild static documentation. --- docs/reference/sigma_twocomp.html | 203 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 203 insertions(+) create mode 100644 docs/reference/sigma_twocomp.html (limited to 'docs/reference/sigma_twocomp.html') diff --git a/docs/reference/sigma_twocomp.html b/docs/reference/sigma_twocomp.html new file mode 100644 index 00000000..8bf1d5f6 --- /dev/null +++ b/docs/reference/sigma_twocomp.html @@ -0,0 +1,203 @@ + + + + + + + + +Two component error model — sigma_twocomp • mkin + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
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Two component error model

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

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

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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.

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sigma_twocomp(y, sigma_low, rsd_high)
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Arguments

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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

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Value

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The standard deviation of the response variable.

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References

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

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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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