Capability of detection — Part 6: Methodology for the determination of the critical value and the minimum detectable value in Poisson distributed measurements by normal approximations

This document presents methods for determining the critical value of the response variable and the minimum detectable value in Poisson distribution measurements. It 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 11843‑3 and ISO 11843‑4. The accuracy of the normal approximation as compared to the exact Poisson distribution is discussed in Annex C.

Capacité de détection — Partie 6: Méthodologie pour la détermination de la valeur critique et de la valeur minimale détectable pour les mesures distribuées selon la loi de Poisson approximée par la loi Normale

General Information

Status
Published
Publication Date
17-Feb-2019
Current Stage
9020 - International Standard under periodical review
Start Date
15-Jan-2024
Completion Date
15-Jan-2024
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ISO 11843-6:2019 - Capability of detection
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INTERNATIONAL ISO
STANDARD 11843-6
Second edition
2019-02
Capability of detection —
Part 6:
Methodology for the determination
of the critical value and the
minimum detectable value in Poisson
distributed measurements by normal
approximations
Capacité de détection —
Partie 6: Méthodologie pour la détermination de la valeur critique et
de la valeur minimale détectable pour les mesures distribuées selon la
loi de Poisson approximée par la loi Normale
Reference number
ISO 11843-6:2019(E)
©
ISO 2019

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ISO 11843-6:2019(E)

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ii © ISO 2019 – All rights reserved

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ISO 11843-6:2019(E)

Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Measurement system and data handling . 2
5 Computation by approximation. 2
5.1 The critical value based on the normal distribution . 2
5.2 Determination of the critical value of the response variable . 4
5.3 Sufficient capability of the detection criterion . 5
5.4 Confirmation of the sufficient capability of detection criterion . 5
6 Reporting the results from an assessment of the capability of detection .6
7 Reporting the results from an application of the method . 7
Annex A (informative) Symbols used in this document . 8
Annex B (informative) Estimating the mean value and variance when the Poisson
distribution is approximated by the normal distribution .10
Annex C (informative) An accuracy of approximations .11
Annex D (informative) Selecting the number of channels for the detector .17
Annex E (informative) Examples of calculations .18
Bibliography .23
© ISO 2019 – All rights reserved iii

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ISO 11843-6:2019
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