Fresenius' Zeitschrift für analytische Chemie

, Volume 327, Issue 2, pp 157–164 | Cite as

Über den Vertrauensbereich bei der Kalibrierung und Analysenmessung mit ionen-sensitiven Elektroden

  • S. Ebel
  • U. Becht
Originalarbeiten Verschiedene Methoden

Confidence interval of calibration and analytical measurement using ion-sensitive electrodes


The straight forward determination of concentrations by means of ion-sensitive electrodes is based on calibration procedures. In the case that the working range is within Nernstian response linear regression with ordinary least square calculation is sufficient. Caused by blanks there are deviations from linearity and calibration has to be done by a non-linear regression technique. Confidence intervals are discussed for both methods of calibration, for the calibration function as well as for the inverse function from the viewpoint of statistics. Furtheron, the expected relative error in the analytical result is taken into consideration as a very useful tool of comparing both methods. The influences of data distances and number of data are discussed. In many cases non-linear calibration has advantages compared to linear calibration eliminating the influence of a blank value. The possible working range is extended even below the socalled blank value.


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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • S. Ebel
    • 1
  • U. Becht
    • 1
  1. 1.Institut für Pharmazie und LebensmittelchemieBayerische Julius-Maximilians-Universität Würzburg, Am HublandWürzburgBundesrepublik Deutschland

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