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Testing of Body Armor Materials Phase III (2012) / Chapter Skim
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Appendix H Statistical Tolerance Bounds
Pages 299-301

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From page 299...
... More formally, the interpretation of an upper tolerance bound is as follows: "If we calculated an upper tolerance bound from many independent groups of random samples, 100(1 –  of the bounds would, in the long run, correctly include 100p percent of the population." The procedure and/or formula for calculating the one-sided tolerance bound varies depending on the underlying population distribution. This distribution is unknown, and it must be estimated from historical data.
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From page 300...
... In particular, the smallest sample size needed to have 100(1 − ) percent confidence that the largest observation in the sample will exceed at least 100p percent of the population is n = log()
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From page 301...
... /log(0.95) = 45 samples to achieve a 90 percent confidence level using the largest sample value as our upper tolerance bound.
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Key Terms

  • nonparametric tolerance
  • population distribution
  • percent confidence
  • upper tolerance
  • tolerance interval

  • underlying population
  • confidence bound
  • tolerance intervals
  • largest sample
  • percent normal

  • vertical line
  • maximum observation
  • underlying distribution
  • bound varies
  • statistical tolerance

  • level using
  • sample value
  • random samples
  • bound calculations
  • solid vertical

  • percent tolerance
  • normal tolerance
  • estimating tolerance
  • statistical tool
  • varies depending

  • bell curve
  • correctly include
  • confidence level
  • curve represents
  • sample data


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