FACTORS FOR ONE-SIDED TOLERANCE LIMITS AND FOR VARIABLES SAMPLING PLANS

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Tables are given of a quantity k that is used to define single-sample variables sampling plans and one-sided tolerance limits for a normal distribution. The probability is gamma that at least a proportion P of a normal population is below x + ks, where x has a normal distribution with mean and variance re p- terphenyl /sup 2//n and fs/sup 2// re p-terphenyl /sup 2/ has a chi-square distribu tion with f degrees of freedom. The quantity k just described corresponds to a percentage point of the noncentral tdistribution and is extensively tabulated. Tabulations of other functions computed from the ... continued below

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Owen, D.B. March 1, 1963.

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Description

Tables are given of a quantity k that is used to define single-sample variables sampling plans and one-sided tolerance limits for a normal distribution. The probability is gamma that at least a proportion P of a normal population is below x + ks, where x has a normal distribution with mean and variance re p- terphenyl /sup 2//n and fs/sup 2// re p-terphenyl /sup 2/ has a chi-square distribu tion with f degrees of freedom. The quantity k just described corresponds to a percentage point of the noncentral tdistribution and is extensively tabulated. Tabulations of other functions computed from the noncentral t-distribution and various expected values are also given. Many other applications are discussed and various approximations compared. One section gives the mathematical derivations and there is an extensive bibliography that was cross referenced to several indices of mathematical and statistical literature. 82 references. (auth)

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  • Other Information: Orig. Receipt Date: 31-DEC-63

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  • Report No.: SCR-607
  • Grant Number: AT(20-1)-789
  • DOI: 10.2172/4687724 | External Link
  • Office of Scientific & Technical Information Report Number: 4687724
  • Archival Resource Key: ark:/67531/metadc1036120

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  • March 1, 1963

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  • Oct. 18, 2017, 7:39 a.m.

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  • Nov. 7, 2017, 1:14 p.m.

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Owen, D.B. FACTORS FOR ONE-SIDED TOLERANCE LIMITS AND FOR VARIABLES SAMPLING PLANS, report, March 1, 1963; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc1036120/: accessed November 14, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.