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A computerized approach to finding the minimum sample size for single sample attribute sampling plans

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Title: A computerized approach to finding the minimum sample size for single sample attribute sampling plans
Authors: Sylvester, Lancelot G.
Contributors: McDowell, Edward, Industrial and General Engineering, Oregon State University. Graduate School
Publisher Information: Oregon State University
Subject Terms: Sampling (Statistics) -- Computer programs, stat, edu
Description: Much has been written concerning the determination of a single sampling plan given two points on the operating characteristic (OC) curve. A computer program is presented which will provide minimum sample size for single sample attribute sampling plans. The program provides sampling plans based on the binomial distribution. It incorporates the Fibonacci search technique for discrete valued functions. The search is conducted over an interval, for the variable representing the acceptance number, known to contain the optimal solution. For each point evaluated within this interval, a Fibonacci search is used to determine the least value of the sample size. It is shown how an initial feasible solution could provide the values needed to establish the search intervals. An algorithm already developed to produce integral solutions is used to determine the initial feasible solution. The algorithm developed in this paper is tested to determine its performance. The testing is to illustrate the accuracy of the proposed method. Use of the program also highlights accuracy problems existing with the previous minimum sample size method. Exact solutions are also determined through exhaustive searches for this purpose. A proof of optimality based on the Poisson approximation to the binomial is offered.
Document Type: thesis
Language: English
Relation: http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/c821gn050
Availability: http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/c821gn050
Rights: undefined
Accession Number: edsbas.F91FE74B
Database: BASE
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  – Url: http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/c821gn050#
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PubType: Dissertation/ Thesis
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IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: A computerized approach to finding the minimum sample size for single sample attribute sampling plans
– Name: Author
  Label: Authors
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  Data: <searchLink fieldCode="AR" term="%22Sylvester%2C+Lancelot+G%2E%22">Sylvester, Lancelot G.</searchLink>
– Name: Author
  Label: Contributors
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  Data: McDowell, Edward<br />Industrial and General Engineering<br />Oregon State University. Graduate School
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  Data: Oregon State University
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  Data: <searchLink fieldCode="DE" term="%22Sampling+%28Statistics%29+--+Computer+programs%22">Sampling (Statistics) -- Computer programs</searchLink><br /><searchLink fieldCode="DE" term="%22stat%22">stat</searchLink><br /><searchLink fieldCode="DE" term="%22edu%22">edu</searchLink>
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  Label: Description
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  Data: Much has been written concerning the determination of a single sampling plan given two points on the operating characteristic (OC) curve. A computer program is presented which will provide minimum sample size for single sample attribute sampling plans. The program provides sampling plans based on the binomial distribution. It incorporates the Fibonacci search technique for discrete valued functions. The search is conducted over an interval, for the variable representing the acceptance number, known to contain the optimal solution. For each point evaluated within this interval, a Fibonacci search is used to determine the least value of the sample size. It is shown how an initial feasible solution could provide the values needed to establish the search intervals. An algorithm already developed to produce integral solutions is used to determine the initial feasible solution. The algorithm developed in this paper is tested to determine its performance. The testing is to illustrate the accuracy of the proposed method. Use of the program also highlights accuracy problems existing with the previous minimum sample size method. Exact solutions are also determined through exhaustive searches for this purpose. A proof of optimality based on the Poisson approximation to the binomial is offered.
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  Data: http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/c821gn050
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      – Text: English
    Subjects:
      – SubjectFull: Sampling (Statistics) -- Computer programs
        Type: general
      – SubjectFull: stat
        Type: general
      – SubjectFull: edu
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      – TitleFull: A computerized approach to finding the minimum sample size for single sample attribute sampling plans
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            NameFull: Sylvester, Lancelot G.
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            NameFull: McDowell, Edward
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            NameFull: Industrial and General Engineering
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