Dissertation/ Thesis

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

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: A computerized approach to finding the minimum sample size for single sample attribute sampling plans
Συγγραφείς: Sylvester, Lancelot G.
Συνεισφορές: McDowell, Edward, Industrial and General Engineering, Oregon State University. Graduate School
Στοιχεία εκδότη: Oregon State University
Συλλογή: ScholarsArchive@OSU (Oregon State University)
Θεματικοί όροι: Sampling (Statistics) -- Computer programs
Περιγραφή: 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.
Τύπος εγγράφου: master thesis
Γλώσσα: English
unknown
Relation: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/c821gn050
Διαθεσιμότητα: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/c821gn050
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  Data: A computerized approach to finding the minimum sample size for single sample attribute sampling plans
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  Data: <searchLink fieldCode="AR" term="%22Sylvester%2C+Lancelot+G%2E%22">Sylvester, Lancelot G.</searchLink>
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  Data: McDowell, Edward<br />Industrial and General Engineering<br />Oregon State University. Graduate School
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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: master thesis
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  Data: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/c821gn050
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      – TitleFull: A computerized approach to finding the minimum sample size for single sample attribute sampling plans
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