Capability of detection - Methodology for the determination of the critical value and the minimum detectable value in Poisson distributed measurements by normal approximations
Capability of detection - Methodology for the determination of the critical value and the minimum detectable value in Poisson distributed measurements by normal approximations
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Capability of detection - Methodology for the determination of the critical value and the minimum detectable value in Poisson distributed measurements by normal approximations

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What is ISO 11843-6 - Capability of detection about?  

ISO 11843-6 presents methods for determining the critical value of the response variable and the minimum detectable value in Poisson distribution measurements. ISO 118436 is applicable when variations in both the background noise and the signal are describable by the Poisson distribution. The conventional approximation is used to approximate the Poisson distribution by the normal distribution consistent with ISO 118433 and ISO 118434. 

Who is ISO 11843-6 - Capability of detection for? 

ISO 11843-6  on Capability of detection is useful for: 

  • Mathematician and professors 
  • Medical students  
  • X-Ray radiation therapist 
  • Psychiatrist 
  • Forensic psychologist 

Why should you use ISO 11843-6 - Capability of detection 

The methods used to set the minimum detectable value have for some time been in widespread use in the field of chemical analysis, although not where pulse-counting measurements are concerned. The need to establish a methodology for determining the minimum detectable value in that area is recognized. 

In ISO 11843-6 the Poisson distribution is approximated by the normal distribution, ensuring consistency with the IUPAC approach laid out in the ISO 11843 series. The conventional approximation is used to generate the variance, the critical value of the response variable, the capability of detection criteria and the minimum detectability level 

ISO 118436 specified the procedures of computation and approximation. ISO 118436 ensures that the Poisson distribution is approximated by the normal distribution and consistency with the IUPAC approach. ISO 118436 helps to find: 

  • α is the probability of erroneously detecting that a system is not in the basic state when it is in that state 
  • β is the probability of erroneously not detecting that a system is not in the basic state when the value of the state variable is equal to the minimum detectable value (xd) 

What’s changed since the last update? 

BS ISO 11843-6:2019 supersedes BS ISO 118436:2013, which is withdrawn. BS ISO 11843-6:2019 includes some technical changes with respect to BS ISO 118436:2013. These include: 

  • In Formula (2) and the related Note, “±” is replaced with “+” 
  • In 5.4, 2nd paragraph, “100(1-α/2)%” is replaced with “100(1-α)%”, and “described below by the general theory of estimation” is inserted at the end 
  • In clause 6 e), figure 1, and annex c 3rd paragraph, the average values (, and ) are used 
  • In annex c, 3rd paragraph, 1st sentence, “independent” is inserted before “variables” 
  • In the line below formula (c.1), is consistently replaced with  
  • In e.2, 2nd paragraph, the text has been slightly reworded for clarity