In this section, the empirical performance of the various
estimators of the process capability index (Cp) is analyzed
via Monte Carlo simulation studies. Assuming different scenarios,
the various estimators of Cp are compared in terms
of bias and efficiency. For comparison reasons, the empirical
performance of the various estimators of the process standard
deviation (r) is also analyzed. This topic may be important
because it can help us to interpret the state of the process
and also we can know the situations where the process is consistent.
Note that the presence, for example, of a significant
bias on the estimator of Cp can produce a wrong vision of
the process status. In addition, an efficient estimation of the
process capability index is essential to get a good evaluation
of the process. In this section, we analyze the empirical bias
and the empirical efficiency of the various customary estimators
of Cp defined by Eqs. (6)–(9).
In this section, the empirical performance of the variousestimators of the process capability index (Cp) is analyzedvia Monte Carlo simulation studies. Assuming different scenarios,the various estimators of Cp are compared in termsof bias and efficiency. For comparison reasons, the empiricalperformance of the various estimators of the process standarddeviation (r) is also analyzed. This topic may be importantbecause it can help us to interpret the state of the processand also we can know the situations where the process is consistent.Note that the presence, for example, of a significantbias on the estimator of Cp can produce a wrong vision ofthe process status. In addition, an efficient estimation of theprocess capability index is essential to get a good evaluationof the process. In this section, we analyze the empirical biasand the empirical efficiency of the various customary estimatorsof Cp defined by Eqs. (6)–(9).
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