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BS ISO 16269-6:2014

BS ISO 16269-6:2014

$198.66

Statistical interpretation of data – Determination of statistical tolerance intervals

Published By Publication Date Number of Pages
BSI 2014 58
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This part of ISO 16269 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.

PDF Catalog

PDF Pages PDF Title
6 Foreword
7 Introduction
9 Section sec_1
Section sec_2
Section sec_3
Section sec_3.1
Section sec_3.1.1
Section sec_3.1.2
1 Scope
2 Normative references
3 Terms, definitions and symbols
3.1 Terms and definitions
10 Section sec_3.1.3
Section sec_3.1.4
Section sec_3.2
3.2 Symbols
11 Section sec_4
Section sec_4.1
Section sec_4.2
4 Procedures
4.1 Normal population with known mean and known variance
4.2 Normal population with unknown mean and known variance
12 Section sec_4.3
Section sec_4.4
Section sec_4.5
Section sec_5
Section sec_5.1
Table tab_1
4.3 Normal population with unknown mean and unknown variance
4.4 Normal populations with unknown means and unknown common variance
4.5 Any continuous distribution of unknown type
5 Examples
5.1 Data for Examples 1 and 2
13 Section sec_5.2
5.2 Example 1: One‑sided statistical tolerance interval with unknown variance and unknown mean
14 Section sec_5.3
Section sec_5.4
5.3 Example 2: Two‑sided statistical tolerance interval under unknown mean and unknown variance
5.4 Data for Examples 3 and 4
15 Table tab_2
Section sec_5.5
5.5 Example 3: One‑sided statistical tolerance intervals for separate populations with unknown common variance
16 Section sec_5.6
5.6 Example 4: Two‑sided statistical tolerance intervals for separate populations with unknown common variance
18 Section sec_5.7
5.7 Example 5: Any distribution of unknown type
20 Annex sec_A
Annex sec_A.1
Annex A
(informative)

Exact k-factors for statistical tolerance intervals for the normal distribution

21 Annex sec_A.2
Annex sec_A.3
22 Annex sec_A.4
23 Annex sec_A.5
25 Annex sec_B
Annex B
(informative)

Forms for statistical tolerance intervals

29 Annex sec_C
Table tab_C.1
Annex C
(normative)

One‑sided statistical tolerance limit factors, kC(n; p; 1−α), for unknown σ

30 Table tab_C.2
31 Table tab_C.3
32 Table tab_C.4
34 Annex sec_D
Table tab_D.1
Annex D
(normative)

Two‑sided statistical tolerance limit factors, kD(n; m; p; 1−α), for unknown common σ (m samples)

35 Table tab_D.2
36 Table tab_D.3
37 Table tab_D.4
38 Table tab_D.5
39 Table tab_D.6
40 Table tab_D.7
42 Table tab_D.8
43 Table tab_D.9
44 Table tab_D.10
45 Table tab_D.11
46 Table tab_D.12
48 Annex sec_E
Table tab_E.1
Annex E
(normative)

Distribution‑free statistical tolerance intervals

49 Table tab_E.2
50 Annex sec_F
Annex F
(informative)

Computation of factors for two‑sided parametric statistical tolerance intervals

52 Annex sec_G
Annex sec_G.1
Annex sec_G.2
Annex G
(informative)

Construction of a distribution‑free statistical tolerance interval for any type of distribution
Annex G
(informative)

Construction of a distribution‑free statistical tolerance interval for any type of distribution

54 Reference ref_1
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Bibliography
Bibliography

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BS ISO 16269-6:2014
$198.66