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Normal1
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μ and σ are unknown
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Shapiro-Wilk (for n ≤ 2000) Kolmogorov-Smirnov-Lillefors (for n > 2000)
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μ and σ are both known
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μ and σ are known or unknown
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α and β known or unknown
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α and β known or unknown
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σ is known or unknown
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α and σ are known
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α and β are known
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ρ is known or unknown and n is known
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ρ and δ known or unknown
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λ known or unknown
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λ or σ known or unknown
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Type a K value and select one-sided or two-sided for your capability analysis. Tail probabilities corresponding to K standard deviations are computed from the Normal distribution. The probabilities are converted to quantiles for the specific distribution that you have fitted. The resulting quantiles are used for specification limits in the capability analysis. This option is similar to the Quantiles option, but you provide K instead of probabilities. K corresponds to the number of standard deviations that the specification limits are away from the mean.
For example, for a Normal distribution, where K = 3, the 3 standard deviations below and above the mean correspond to the 0.00135th quantile and 0.99865th quantile, respectively. The lower specification limit is set at the 0.00135th quantile, and the upper specification limit is set at the 0.99865th quantile of the fitted distribution. A capability analysis is returned based on those specification limits.