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The C p, C pk and S pk indices are used to calculate the capability of the second stage in the two-stage process.
Therefore, using the traditional process capability index to measure the capability of the second stage may provide misleading results due to ignoring the cascade effect.
In other words, if one is going to measure the capability of the second stage specifically, she cannot use the traditional process capability indices on the quality characteristic in the second stage and she must use a statistic independent from the quality characteristic in the first stage.
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