calibration: Analytical calibration functions

View source: R/calibration.R

calibrationR Documentation

Analytical calibration functions


Defines a calibration object for the calculation of concentrations from measurement signals including estimations for the limit of detection (LOD) and limit of quantification (LOQ) in accordance with DIN 32645 (2008).

The LOD is defined as the lowest quantity of a substance that can be distinguished from the absence of that substance (blank value) within a given confidence level (alpha). The LOQ is defined as the lowest quantity of a substance that can be quantified/distinguished from another sample given with respect to a defined confidence level (k).


  data = NULL,
  blanks = NULL,
  weights = NULL,
  model = "lm",
  check_assumptions = TRUE,

## S3 method for class 'calibration'
print(x, ...)

## S3 method for class 'calibration'
summary(object, ...)

## S3 method for class 'calibration'
plot(x, interval = "conf", level = 0.95, ...)

lod(object, ...)

## S3 method for class 'calibration'
lod(object, blanks = NULL, alpha = 0.01, level = 0.05, ...)

loq(object, ...)

## S3 method for class 'calibration'
  blanks = NULL,
  alpha = 0.01,
  k = 3,
  level = 0.05,
  maxiter = 10,



model formula providing the recorded signal intensities with respect to the nominal analyte concentrations in the form of signal ~ concentration or signal ~ concentraion - 1; model formulas are currently restricted to those forms, however, the possibility to use log or sqrt transformed data will be implemented in the future.


an optional data frame containing the variables in the model.


a vector of numeric blank values overriding those automatically retrieved from calibration data.


an optional character string containing one or more model variables, for example, in the form of "1/concentration^0.5" or "1/signal" which is internally converted to a numeric vector and passed to the fitting process of the selected model.


model class to be used for fitting; currently, lm() and rlm() are supported.


automatically check for normality and homoscedasticity of model residuals using shapiro.test() and bptest(), respectively; only executed if weights == NULL.


further arguments passed to the submethod, namely the respective model environment such as lm(), plot(), or print().

x, object

an object of class 'calibration' with a model formula as shown above.


Type of interval calculation (can be abbreviated); see predict() for details.


tolerance/confidence level; see predict() and confint() for details.


error tolerance for the detection limit (critical value).


relative uncertainty for the limit of quantification (1/beta).


a positive integer specifying the maximum number of iterations to calculate the LOQ.


If the data supplied to calibration contain more than one blank value, namely measurements with a nominal concentration of or close to zero, the LOD and LOQ are calculated from the deviation of the blank samples. This method is called "blank method" according to DIN 32645 (2008) and supposed to be more accurate than the so-called "calibration method" which will be used for the estimation of LOD and LOQ when data does not contain zero concentration measurements.


calibration returns an object of class 'calibration'. print() calls the function parameters together with the respective LOD and LOQ. plot() plots the respective calibration curve together with the measurement values. summary() may be used to retrieve the summary of the underlying model.


Zacharias Steinmetz


Almeida, A. M. D., Castel-Branco, M. M., & Falcao, A. C. (2002). Linear regression for calibration lines revisited: weighting schemes for bioanalytical methods. Journal of Chromatography B, 774(2), 215-222. doi: 10.1016/S1570-0232(02)00244-1.

Currie, L.A. (1999). Nomenclature in evaluation of analytical methods including detection and quantification capabilities: (IUPAC Recommendations 1995). Analytica Chimica Acta 391, 105-126.

DIN 32645 (2008). Chemical analysis - Decision limit, detection limit and determination limit under repeatability conditions - Terms, methods, evaluation. Technical standard. Deutsches Institut für Normung, Berlin.

Massart, D.L., Vandeginste, B.G., Buydens, L.M.C., Lewi, P.J., & Smeyers-Verbeke, J. (1997). Handbook of chemometrics and qualimetrics: Part A. Elsevier Science Inc.

See Also

Other calibration: din32645, icp, matrix_effect(), neitzel2003, weight_select()


din <- calibration(Area ~ Conc, data = din32645)



envalysis documentation built on Oct. 7, 2022, 5:06 p.m.