Analytical Sciences
Online ISSN : 1348-2246
Print ISSN : 0910-6340
ISSN-L : 0910-6340
Original Papers
A Practical Method for Determining Minimum Detectable Values in Pulse-Counting Measurements
Yoichiro FURUKAWAManabu IWASAKIAkihiro TANAKA
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2010 Volume 26 Issue 2 Pages 259-265

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Abstract

The purpose of this paper is to propose a statistical method for determining minimum detectable values in a pulse-counting measurements. The output of x-ray, electron and ion-spectroscopy detectors is a series of pulses that vary in their arrival frequency according to a Poisson distribution. The analysis presented here relates this to a Normal distribution, making it consistent with the standards and methodology recommended by IUPAC and in the ISO 11843 series of international standards. The theory and limitations of doing this are presented using two types of approximations: a Simple approximation and a Square Root approximation. The variance, critical values of the response variables, capability of detection criteria and the minimum detectable values are then defined. Finally, the validity of the approximations is checked using experimental data. It is concluded that the methodology is accurate enough for practical use.

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© 2010 by The Japan Society for Analytical Chemistry
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