ISO 28592:2017 PDF
Double sampling plans by attributes with minimal sample sizes, indexed by producer's risk quality (PRQ) and consumer's risk quality (CRQ)
Double sampling plans by attributes with minimal sample sizes, indexed by producer's risk quality (PRQ) and consumer's risk quality (CRQ)
- Статус документа:
- Действующий
- Формат:
- Электронный (PDF)
- Количество страниц:
- 85
- Дата публикации:
- 23 октября 2017 г.
- Издание:
- ISO IS 28592 edition 1 version 1
- ICS:
- 03.120.30
ISO 28592:2017 provides double sampling plans by attributes for the acceptance inspection of lots of discrete items. The plans are indexed by the producer's risk quality (PRQ) and the consumer's risk quality (CRQ) where the nominal producer's and consumer's risks are respectively either (5 %, 5 %), (5 %, 10 %) or (10 %, 10 %). Plans are provided for inspection for percent nonconforming and for inspection for nonconformities per 100 items. The lot is accepted if there are no nonconforming items (nonconformities) in the first random sample, and rejected if it contains two or more nonconforming items (nonconformities). If precisely one nonconforming item is found in the first sample, a second random sample is drawn; the lot is then accepted if the second sample contains no nonconforming items (nonconformities) and rejected otherwise. The objective of this International Standard is to provide procedures that enable lot disposition to be determined quickly and economically if quality is particularly good or bad. For intermediate quality, a second sample is drawn in order to be able to discriminate more reliably between acceptable and unacceptable lots. The two sample sizes are chosen to minimize the maximum expected sample size with respect to incoming quality subject to the nominal risks not being exceeded. Similarly, the plans may be used to test the hypothesis that a lot or process quality level is equal to the PRQ (i.e. acceptable) against the alternative hypothesis that the quality level is equal to the CRQ (i.e. unacceptable). The plans are preferable to single sampling plans where the cost of inspection is high, where the delay and uncertainty caused by the possible requirement for second samples is inconsequential and where a relatively large ratio of the consumer's risk quality to the producer's risk quality can be tolerated. The plans are suitable for isolated lots or for short series of lots, where the sum of the two sample sizes is no larger than about 10 % of the size of the lot. The plans are also suitable for continuing series of lots when lots that fail to satisfy the acceptance criteria are 100 % inspected and all nonconforming items replaced by conforming items; however, for continuing series of lots, consideration should also be given to using double sampling plans from ISO 2859‑1. The statistical theory underlying the plans, tables and figures is provided in Annex A.
Abstract
Overview
ISO 28592:2017 (ISO 28592:2017) specifies double sampling plans by attributes with minimal sample sizes, indexed by producer’s risk quality (PRQ) and consumer’s risk quality (CRQ). It provides attribute-based acceptance inspection procedures for lots of discrete items, covering inspection by percent nonconforming and by nonconformities per 100 items. Nominal risk combinations supported are (5%, 5%), (5%, 10%) and (10%, 10%). The standard’s statistical theory and supporting tables/figures are given in Annex A.
Key topics and technical requirements
- Decision rule (attributes):
- If the first random sample contains 0 nonconforming items → accept the lot.
- If the first sample contains ≥ 2 nonconforming items → reject the lot.
- If the first sample contains exactly 1 nonconforming item → draw a second random sample; accept if the second sample has 0 nonconforming items, reject otherwise.
- Plan indexing: Plans are indexed by PRQ (acceptable quality level from producer view) and CRQ (unacceptable quality level from consumer view).
- Objectives: Choose first and second sample sizes to minimize the maximum expected sample size with respect to incoming quality, subject to the nominal producer’s and consumer’s risks not being exceeded.
- Use cases within the standard: Acceptance sampling and hypothesis testing (test that process quality equals PRQ vs. CRQ).
- Outputs: Tables and figures of sample sizes, operating characteristics, average sample sizes, actual producer’s/consumer’s risks, and average outgoing quality (AOQ).
Practical applications and who should use it
- Quality engineers and inspectors choosing efficient acceptance sampling procedures when inspection cost is high but occasional second samples are acceptable.
- Procurement and supplier quality management for lot disposition of isolated lots or short production runs where the sum of both sample sizes is typically ≤ ~10% of lot size.
- Manufacturers operating short series or pilot runs where AQL-indexed switching rules (e.g., ISO 2859-1) are unsuitable.
- Organizations running continuing series may use these plans when failed lots are 100% inspected and nonconforming items replaced, though ISO 2859-1 should also be considered for continuing series.
- Statisticians applying hypothesis testing of lot/process quality using PRQ vs CRQ comparisons.
Related standards
- ISO 2859-1 (double sampling and AQL-indexed plans) - consider when using switching rules for continuing series.
- ISO 28590–28599 series - related acceptance sampling procedures and sequential sampling standards (renumbered series referenced in ISO foreword).
Keywords: ISO 28592, double sampling plans, attributes, minimal sample sizes, producer’s risk quality (PRQ), consumer’s risk quality (CRQ), acceptance sampling, percent nonconforming, nonconformities per 100 items, AOQ, inspection plans.
Технические детали
- Технический комитет
- ISO/TC 69/SC 5 - Acceptance sampling
- SKU
- ISO 28592:2017
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