BS ISO 11843-6:2013:2015 Edition

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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

Published By	Publication Date	Number of Pages
BSI	2015	32

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Categories: 03.120.30 - Application of statistical methods, BSI

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Description

This part of ISO 11843 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.

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PDF Pages	PDF Title
6	Foreword
7	Introduction
9	Section sec_1 Section sec_2 Section sec_3 Section sec_4 1 Scope 2 Normative references 3 Terms and definitions 4 Measurement system and data handling
10	Section sec_5 Section sec_5.1 5 Computation by approximation 5.1 The critical value based on the normal distribution
11	Table tab_b Figure fig_1
12	Section sec_5.2 Section sec_5.3 5.2 Determination of the critical value of the response variable 5.3 Sufficient capability of the detection criterion
13	Section sec_5.4 5.4 Confirmation of the sufficient capability of detection criterion
14	Section sec_6 Section sec_7 6 Reporting the results from an assessment of the capability of detection 7 Reporting the results from an application of the method
15	Annex sec_A Annex A (informative) Symbols used in ISO 11843-6
17	Annex sec_B Annex B (informative) Estimating the mean value and variance when the Poisson distribution is approximated by the normal distribution
18	Annex sec_C Annex C (informative) An accuracy of approximations
19	Table tab_C.1
20	Table tab_C.1___1
21	Table tab_h Figure fig_C.1
22	Annex sec_D Table tab_i Figure fig_D.1 Annex D (informative) Selecting the number of channels for the detector
23	Annex sec_E Annex sec_E.1 Annex E (informative) Examples of calculations
24	Table tab_j Figure fig_E.1 Annex sec_E.1.1 Annex sec_E.1.2
25	Annex sec_E.2
26	Table tab_E.1 Table tab_k Figure fig_E.2 Annex sec_E.2.1
27	Annex sec_E.2.2
28	Reference ref_1 Reference ref_2 Reference ref_3 Reference ref_4 Reference ref_5 Reference ref_6 Reference ref_7 Reference ref_8 Reference ref_9 Reference ref_10 Reference ref_11 Reference ref_12 Reference ref_13 Reference ref_14 Bibliography

Additional information

Status	Withdrawn
Title	Capability of detection – Methodology for the determination of the critical value and the minimum detectable value in Poisson distributed measurements by normal approximations
Corrects	BS ISO 11843-6:2013
Publisher	BSI
Committee	SS/6
Pages	32
Publication Date	2015-10-31
Withdrawn Date	2019-02-27
Replaced By	BS ISO 11843-6:2019
ISBN	978 0 580 91712 7
Standard Number	BS ISO 11843-6:2013
Identical National Standard Of	ISO 11843-6:2013
Descriptors	Statistical methods of analysis, Error detection, Measurement, Standard deviation, Calibration, Chemical analysis and testing, Precision
ICS Codes	03.120.30 - Application of statistical methods

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BS ISO 11843-6:2013:2015 Edition

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