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Process Capability Analysis in Non-normality Based on Box-Cox Power Transformation

Yang Jian-feng

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Abstract

The standard process capability indices are based on the hypothesis that the distribution of processes output is normal.There are plenty of practical cases in which the output isn't normal.A special method to evaluate process capability about geometric tolerance is constructed based on Box-Cox power transformation model.Two simulations are run to test the applicability and effect in process capability analysis respectively.The results and a case proved the method is good in evaluating the quality characters about geometric tolerance.

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What this paper is about

The standard process capability indices are based on the hypothesis that the distribution of processes output is normal.There are plenty of practical cases in which the output isn't normal.A special method to evaluate process capability about geometric tolerance is constructed based on Box-Cox power transformation model.Two simulations are run to test the applicability and effect in process capability analysis respectively.The results and a case proved the method is good in evaluating the quality characters about geometric tolerance.

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Available abstract

The standard process capability indices are based on the hypothesis that the distribution of processes output is normal.There are plenty of practical cases in which the output isn't normal.A special method to evaluate process capability about geometric tolerance is constructed based on Box-Cox power transformation model.Two simulations are run to test the applicability and effect in process capability analysis respectively.The results and a case proved the method is good in evaluating the quality characters about geometric tolerance.

Key concepts: Power transform, Transformation (genetics), Process capability, Process (computing), Process capability index, Normality, Power (physics), Reliability engineering

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