ToleranceFactor 1.0

ToleranceFactor computes the exact tolerance factor k for the two-sided (optionally also for the one-sided) p-content and gamma-confidence tolerance interval TI = [Xmean - k * S, Xmean + k * S],where Xmean = mean(X), S = std(X), X = [X_1,...,X_n] is a random sample from the distribution N(mu,sig2) with unknown mean mu and variance sig2.The value of the tolerance factor k is determined such that the tolerance intervals with the confidence gamma cover at least the fraction p ('coverage') of the distribution N(mu,sigma^2), i.e. Prob[ Prob( Xmean - k * S < X < Xmean + k * S ) >= p ]= gamma,for X ~ N(mu,sig2) which is independent with Xmean and S. For more details see e.g. Krishnamoorthy and Mathew (2009).Syntax:k = ToleranceFactor(n,coverage,confidence)[k,options] = ToleranceFactor(n,coverage,confidence)ork = ToleranceFactor(n,coverage,confidence,options)References:Krishnamoorthy K., Mathew T.: Statistical Tolerance Regions: Theory, Applications, and Computation. Wiley, ISBN: 978-0-470-38026-0, 512 pages, May 2009.ISO 16269-6:2005: Statistical interpretation of data - Part 6: Determination of statistical tolerance intervals.Janiga I., Garaj I.: Two-sided tolerance limits of normal distributions with unknown means and unknown common variability. MEASUREMENT SCIENCE REVIEW, Volume 3, Section 1, 2003, 75-78.

Requirements:	No special requirements
Platforms:	Matlab
Keyword:	Applications,  Computation,  Mathew,  Pages,  Regions,  Theory,  Tolerance,  Wiley
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