Removing the Effects of Measurement Errors in Constructing Statistical Tolerance Intervals

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Abstract
Items are selected at random from a large lot and measured for some quality characteristic. The producer wishes to make the following type of statement about the lot: “With 100γ percent confidence, the quality characteristic of at least 100P percent of the items in the lot exceed L.” Although this statement is expressed as a statistical tolerance statement, in effect it is also an acceptance sampling plan whenever the lot is to be rejected when L is less than some lower specification limit, and the results in this paper apply in either of these two situations. This paper considers how the effect of measurement error may be taken into account when calculating the tolerance limit.