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National standards and national normative documents

Publication date

July 2005

Number of pages

37 p.

Reference

NF ISO 16269-6

ICS Codes

03.120.30 Application of statistical methods

Classification index

X06-040-6

Print number

2 - 01/04/2006

International kinship

ISO 16269-6:2005

Sumary

Statistical interpretation of data - Part 6 : determination of statistical tolerance intervals

ISO 16269-6:2005 describes procedures for establishing tolerance intervals that include at least a specified proportion of the population with a specified confidence level. Both one-sided and two-sided statistical tolerance intervals are provided, a one-sided interval having either an upper or a lower limit while a two-sided interval has both upper and lower limits. Two methods are provided, a parametric method for the case where the characteristic being studied has a normal distribution and a distribution-free method for the case where nothing is known about the distribution except that it is continuous.

Standard replaced by (1)

NF ISO 16269-6

March 2014

Standard Current

Statistical interpretation of data - Part 6 : determination of statistical tolerance intervals

ISO 16269-6:2013 describes procedures for establishing statistical tolerance intervals that include at least a specified proportion of the population with a specified confidence level. Both one-sided and two-sided statistical tolerance intervals are provided, a one‑sided interval having either an upper or a lower limit while a two-sided interval has both upper and lower limits. Two methods are provided, a parametric method for the case where the characteristic being studied has a normal distribution and a distribution‑free method for the case where nothing is known about the distribution except that it is continuous. There is also a procedure for the establishment of two‑sided statistical tolerance intervals for more than one normal sample with common unknown variance.

Table of contents

Avant-propos
iv
Introduction
v
1 Domaine d'application
1
2 Références normatives
1
3 Termes, définitions et symboles
1
3.1 Termes et définitions
1
3.2 Symboles
2
4 Méthodes
3
4.1 Population normale avec une variance et une moyenne connues
3
4.2 Population normale avec une variance connue et une moyenne inconnue
3
4.3 Population normale avec une variance et une moyenne inconnues
3
4.4 Distribution continue quelconque de type inconnu
3
5 Exemples
4
5.1 Données
4
5.2 Exemple 1: intervalle statistique de dispersion unilatéral sous variance connue
4
5.3 Exemple 2: intervalle statistique de dispersion bilatéral sous variance connue
5
5.4 Exemple 3: intervalle statistique de dispersion unilatéral sous variance inconnue
5
5.5 Exemple 4: intervalle statistique de dispersion bilatéral sous variance inconnue
6
5.6 Exemple 5: intervalle statistique de dispersion non paramétrique pour une distribution continue
7
Annexe A (informative) Formulaires pour les intervalles de dispersion
8
Annexe B (normative) Facteurs de la limite statistique de dispersion unilatérale, k1 (n; p; 1 - a), pour un écart-type de la population, sigma, connu
14
Annexe C (normative) Facteurs de la limite statistique de dispersion bilatérale, k2(n; p; 1 - a), pour un écart-type de la population, sigma, connu
17
Annexe D (normative) Facteurs de la limite statistique de dispersion unilatérale, k3(n; p; 1 - a), pour un écart-type de la population, sigma, inconnu
20
Annexe E (normative) Facteurs de la limite statistique de dispersion bilatérale, k4(n; p; 1 - a), pour un écart-type de la population, sigma, inconnu
23
Annexe F (normative) Intervalles statistiques de dispersion unilatéraux non paramétriques
26
Annexe G (normative) Intervalles statistiques de dispersion bilatéraux non paramétriques
27
Annexe H (informative) Construction d'un intervalle statistique de dispersion non paramétrique pour un type de distribution quelconque
28
Annexe I (informative) Calculs des facteurs des intervalles statistiques de dispersion bilatéraux paramétriques
29
Bibliographie
30

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