{"id":356055,"date":"2024-10-20T01:10:43","date_gmt":"2024-10-20T01:10:43","guid":{"rendered":"https:\/\/pdfstandards.shop\/product\/uncategorized\/bs-iso-16269-62014\/"},"modified":"2024-10-26T01:31:29","modified_gmt":"2024-10-26T01:31:29","slug":"bs-iso-16269-62014","status":"publish","type":"product","link":"https:\/\/pdfstandards.shop\/product\/publishers\/bsi\/bs-iso-16269-62014\/","title":{"rendered":"BS ISO 16269-6:2014"},"content":{"rendered":"

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\u2011sided and two\u2011sided statistical tolerance intervals are provided, a one\u2011sided interval having either an upper or a lower limit while a two\u2011sided 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\u2011free 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\u2011sided statistical tolerance intervals for more than one normal sample with common unknown variance.<\/p>\n

PDF Catalog<\/h4>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
PDF Pages<\/th>\nPDF Title<\/th>\n<\/tr>\n
6<\/td>\nForeword <\/td>\n<\/tr>\n
7<\/td>\nIntroduction <\/td>\n<\/tr>\n
9<\/td>\nSection sec_1
Section sec_2
Section sec_3
Section sec_3.1
Section sec_3.1.1
Section sec_3.1.2
1\tScope
2\tNormative references
3\tTerms, definitions and symbols
3.1\tTerms and definitions <\/td>\n<\/tr>\n
10<\/td>\nSection sec_3.1.3
Section sec_3.1.4
Section sec_3.2
3.2\tSymbols <\/td>\n<\/tr>\n
11<\/td>\nSection sec_4
Section sec_4.1
Section sec_4.2
4\tProcedures
4.1\tNormal population with known mean and known variance
4.2\tNormal population with unknown mean and known variance <\/td>\n<\/tr>\n
12<\/td>\nSection sec_4.3
Section sec_4.4
Section sec_4.5
Section sec_5
Section sec_5.1
Table tab_1
4.3\tNormal population with unknown mean and unknown variance
4.4\tNormal populations with unknown means and unknown common variance
4.5\tAny continuous distribution of unknown type
5\tExamples
5.1\tData for Examples 1 and 2 <\/td>\n<\/tr>\n
13<\/td>\nSection sec_5.2
5.2\tExample\u00a01: One\u2011sided statistical tolerance interval with unknown variance and unknown mean <\/td>\n<\/tr>\n
14<\/td>\nSection sec_5.3
Section sec_5.4
5.3\tExample\u00a02: Two\u2011sided statistical tolerance interval under unknown mean and unknown variance
5.4\tData for Examples\u00a03 and 4 <\/td>\n<\/tr>\n
15<\/td>\nTable tab_2
Section sec_5.5
5.5\tExample\u00a03: One\u2011sided statistical tolerance intervals for separate populations with unknown common variance <\/td>\n<\/tr>\n
16<\/td>\nSection sec_5.6
5.6\tExample\u00a04: Two\u2011sided statistical tolerance intervals for separate populations with unknown common variance <\/td>\n<\/tr>\n
18<\/td>\nSection sec_5.7
5.7\tExample\u00a05: Any distribution of unknown type <\/td>\n<\/tr>\n
20<\/td>\nAnnex sec_A
Annex sec_A.1
Annex\u00a0A
\n(informative)<\/p>\n

Exact k-factors for statistical tolerance intervals for the normal distribution <\/td>\n<\/tr>\n

21<\/td>\nAnnex sec_A.2
Annex sec_A.3 <\/td>\n<\/tr>\n
22<\/td>\nAnnex sec_A.4 <\/td>\n<\/tr>\n
23<\/td>\nAnnex sec_A.5 <\/td>\n<\/tr>\n
25<\/td>\nAnnex sec_B
Annex\u00a0B
\n(informative)<\/p>\n

Forms for statistical tolerance intervals <\/td>\n<\/tr>\n

29<\/td>\nAnnex sec_C
Table tab_C.1
Annex\u00a0C
\n(normative)<\/p>\n

One\u2011sided statistical tolerance limit factors, kC(n;\u00a0p;\u00a01\u2212\u03b1), for unknown \u03c3 <\/td>\n<\/tr>\n

30<\/td>\nTable tab_C.2 <\/td>\n<\/tr>\n
31<\/td>\nTable tab_C.3 <\/td>\n<\/tr>\n
32<\/td>\nTable tab_C.4 <\/td>\n<\/tr>\n
34<\/td>\nAnnex sec_D
Table tab_D.1
Annex\u00a0D
\n(normative)<\/p>\n

Two\u2011sided statistical tolerance limit factors, kD(n; m;\u00a0p;\u00a01\u2212\u03b1), for unknown common \u03c3 (m samples) <\/td>\n<\/tr>\n

35<\/td>\nTable tab_D.2 <\/td>\n<\/tr>\n
36<\/td>\nTable tab_D.3 <\/td>\n<\/tr>\n
37<\/td>\nTable tab_D.4 <\/td>\n<\/tr>\n
38<\/td>\nTable tab_D.5 <\/td>\n<\/tr>\n
39<\/td>\nTable tab_D.6 <\/td>\n<\/tr>\n
40<\/td>\nTable tab_D.7 <\/td>\n<\/tr>\n
42<\/td>\nTable tab_D.8 <\/td>\n<\/tr>\n
43<\/td>\nTable tab_D.9 <\/td>\n<\/tr>\n
44<\/td>\nTable tab_D.10 <\/td>\n<\/tr>\n
45<\/td>\nTable tab_D.11 <\/td>\n<\/tr>\n
46<\/td>\nTable tab_D.12 <\/td>\n<\/tr>\n
48<\/td>\nAnnex sec_E
Table tab_E.1
Annex\u00a0E
\n(normative)<\/p>\n

Distribution\u2011free statistical tolerance intervals <\/td>\n<\/tr>\n

49<\/td>\nTable tab_E.2 <\/td>\n<\/tr>\n
50<\/td>\nAnnex sec_F
Annex\u00a0F
\n(informative)<\/p>\n

Computation of factors for two\u2011sided parametric statistical tolerance intervals <\/td>\n<\/tr>\n

52<\/td>\nAnnex sec_G
Annex sec_G.1
Annex sec_G.2
Annex\u00a0G
\n(informative)<\/p>\n

Construction of a distribution\u2011free statistical tolerance interval for any type of distribution
Annex\u00a0G
\n(informative)<\/p>\n

Construction of a distribution\u2011free statistical tolerance interval for any type of distribution <\/td>\n<\/tr>\n

54<\/td>\nReference ref_1
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Bibliography
Bibliography <\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

Statistical interpretation of data – Determination of statistical tolerance intervals<\/b><\/p>\n\n\n\n\n
Published By<\/td>\nPublication Date<\/td>\nNumber of Pages<\/td>\n<\/tr>\n
BSI<\/b><\/a><\/td>\n2014<\/td>\n58<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"featured_media":356061,"template":"","meta":{"rank_math_lock_modified_date":false,"ep_exclude_from_search":false},"product_cat":[97,2641],"product_tag":[],"class_list":{"0":"post-356055","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-03-120-30","7":"product_cat-bsi","9":"first","10":"instock","11":"sold-individually","12":"shipping-taxable","13":"purchasable","14":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product\/356055","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media\/356061"}],"wp:attachment":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media?parent=356055"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_cat?post=356055"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_tag?post=356055"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}