ACCEPTANCE SAMPLING FOR ATTRIBUTES VIA HYPOTHESIS TESTINGAND THE HYPERGEOMETRIC DISTRIBUTION

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SAMOHYL ROBERT WAYNE

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Journal Paper

Paper Information

Journal: JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL Year:2018 | Volume:14 | Issue:2 Page(s): 395-414

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Information Journal Paper

Title

ACCEPTANCE SAMPLING FOR ATTRIBUTES VIA HYPOTHESIS TESTINGAND THE HYPERGEOMETRIC DISTRIBUTION

Author(s)

SAMOHYL ROBERT WAYNE | Issue Writer Certificate

Keywords

ACCEPTANCE SAMPLING

LOT QUALITY ASSURANCESAMPLING (LQAS)

HYPERGEOMETRIC

OPERATINGCHARACTERISTIC CURVE (OCC)

RECEIVER OPERATINGCHARACTERISTIC (ROC) CURVE

HYPOTHESIS TEST

R CRAN

Abstract

This paper questions some aspects of attributeacceptance sampling in light of the original concepts ofhypothesis testing from Neyman and Pearson (NP). Attributeacceptance sampling in industry, as developed byDodge and Romig (DR), generally follows the internationalstandards of ISO 2859, and similarly the Brazilian standardsNBR 5425 to NBR 5427 and the United StatesStandards ANSI/ASQC Z1. 4. The paper evaluates andextends the area of acceptance sampling in two directions. First, by suggesting the use of the hypergeometric distributionto calculate the parameters of sampling plansavoiding the unnecessary use of approximations such as thebinomial or Poisson distributions. We show that, underusual conditions, discrepancies can be large. The conclusionis that the hypergeometric distribution, ubiquitouslyavailable in commonly used software, is more appropriatethan other distributions for acceptance sampling. Second, and more importantly, we elaborate the theory of acceptancesampling in terms of hypothesis testing rigorouslyfollowing the original concepts of NP. By offering acommon theoretical structure, hypothesis testing from NPcan produce a better understanding of applications evenbeyond the usual areas of industry and commerce such aspublic health and political polling. With the new procedures, both sample size and sample error can be reduced. What is unclear in traditional acceptance sampling is thenecessity of linking the acceptable quality limit (AQL)exclusively to the producer and the lot quality percentdefective (LTPD) exclusively to the consumer. In reality, the consumer should also be preoccupied with a value ofAQL, as should the producer with LTPD. Furthermore, wecan also question why type I error is always uniquelyassociated with the producer as producer risk, and likewise, the same question arises with consumer risk which isnecessarily associated with type II error. The resolution ofthese questions is new to the literature. The article presentsR code throughout.

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APA: Copy

SAMOHYL, ROBERT WAYNE. (2018). ACCEPTANCE SAMPLING FOR ATTRIBUTES VIA HYPOTHESIS TESTINGAND THE HYPERGEOMETRIC DISTRIBUTION. JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL, 14(2), 395-414. SID. https://sid.ir/paper/310132/en

Vancouver: Copy

SAMOHYL ROBERT WAYNE. ACCEPTANCE SAMPLING FOR ATTRIBUTES VIA HYPOTHESIS TESTINGAND THE HYPERGEOMETRIC DISTRIBUTION. JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL[Internet]. 2018;14(2):395-414. Available from: https://sid.ir/paper/310132/en

IEEE: Copy

ROBERT WAYNE SAMOHYL, “ACCEPTANCE SAMPLING FOR ATTRIBUTES VIA HYPOTHESIS TESTINGAND THE HYPERGEOMETRIC DISTRIBUTION,” JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL, vol. 14, no. 2, pp. 395–414, 2018, [Online]. Available: https://sid.ir/paper/310132/en

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