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Total Error Uncertainty: Prediction vs Tolerance Intervals and Sample Size

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(@event-participant)
Posts: 45
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The combined approach calculates the uncertainty of the total error (accuracy + precision). Which formula should we use? The prediction interval or the tolerance interval?
How can we calculate the minimum number of samples needed to assess the accuracy and repeatability of a method?


 
Posted : 29/01/2026 12:52 pm
(@quality-experts)
Posts: 37
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In principle, this is a prediction interval, but it's referred in the statistical literature as beta-expectation tolerance intervals, in opposition to beta-content/gamma-confidence tolerance intervals that are simply referred to "tolerance intervals". The commonly used formulae can be identified in Robert Mee, (TECHNOMETRICS, VOL. 26, NO. 3, AUGUST 1984) or in the stimuli paper from USP authored by Rick Burdick.

 

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Posted : 29/01/2026 1:11 pm
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