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Typically, engineering tolerance limits define the maximum and minimum values for a product to work correctly. Engineering tolerance limits may be specified via Geometric Dimensioning And Tolerancing . Tolerance intervals are fundamental to Control Chart s of various types. Statistical tolerance intervals (or limits) are derived from process data. These intervals quantify the variation manifest by the process. They define the capability of the process by specifiying minumum and maximum values, based on a sample of data. These values bound a region that will probably (with probability γ, say 90%) contain more than a certain proportion P of the total population, but we accept that it will, with the complementary probability (10% in our example), contain less than this proportion. One use of this is to obtain an interval that is not ridiculously large, but with fairly high values of P and γ so as to guarantee more or less that the items in the population will be in the interval. EXTERNAL LINKS See The NIST/SEMATECH e-Handbook of Statistical Methods , 2004 July 17. In particular Section 7.2.6.3 - Tolerance intervals for a normal distribution See "Quality Control Handbook", Juran. |
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