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authorJohannes Ranke <jranke@uni-bremen.de>2018-07-18 15:18:30 +0200
committerJohannes Ranke <jranke@uni-bremen.de>2018-07-18 15:58:46 +0200
commit0b98c459c30a0629a728acf6b311de035c55fb64 (patch)
treef146faf4802da38862aa14b0268265f3fad9ba34 /man/sigma_twocomp.Rd
parentd3ed95f2a0a43ed74b02ea90e35d043ed4e1e72f (diff)
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.
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+\name{sigma_twocomp}
+\alias{sigma_twocomp}
+\title{Two component error model}
+\description{
+ Function describing the standard deviation of the measurement error
+ in dependence of the measured value \eqn{y}:
+
+ \deqn{\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.
+}
+\usage{
+sigma_twocomp(y, sigma_low, rsd_high)
+}
+\arguments{
+ \item{y}{ The magnitude of the observed value }
+ \item{sigma_low}{ The asymptotic minimum of the standard deviation for low observed values }
+ \item{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.
+}
+\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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