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Effect of Non-Normality on Tolerance Limits Which Control Percentages in Both Tails of Normal Distribution

Jeneanne Rae, Kathleen Subrahmaniam, D. B. Owen

Open publisher page 16 citations

Abstract

Effect of non-normality on Owen's tolerance limits, which control percentages p/2 in each of the tails of the normal distribution, is investigated. The limits are insensitive to departures from normality for p ≥ 0.20, but the effect of non-normality is increasingly felt as p decreases. Factors for tolerance limits in the non-normal case, which require at least a rough knowledge of parental skewness β1 and kurtosis β2, are given.

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What this paper is about

Effect of non-normality on Owen's tolerance limits, which control percentages p/2 in each of the tails of the normal distribution, is investigated. The limits are insensitive to departures from normality for p ≥ 0.20, but the effect of non-normality is increasingly felt as p decreases. Factors for tolerance limits in the non-normal case, which require at least a rough knowledge of parental skewness β1 and kurtosis β2, are given.

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Available abstract

Effect of non-normality on Owen's tolerance limits, which control percentages p/2 in each of the tails of the normal distribution, is investigated. The limits are insensitive to departures from normality for p ≥ 0.20, but the effect of non-normality is increasingly felt as p decreases. Factors for tolerance limits in the non-normal case, which require at least a rough knowledge of parental skewness β1 and kurtosis β2, are given.

Key concepts: Normality, Kurtosis, Skewness, Normal distribution, Statistics, Mathematics, Distribution (mathematics), Normality test

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