A sequential test and a sequential sampling plan based on the process capability index Cpmk

Michele Scagliarini ()
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Michele Scagliarini: University of Bologna

Computational Statistics, 2022, vol. 37, issue 3, No 20, 1523-1550

Abstract: Abstract In this study we propose a sequential test for hypothesis testing on the $$C_{pmk}$$ C pmk process capability index. Furthermore, we propose a sequential sampling plan for lot acceptance based on $$C_{pmk}$$ C pmk . We compare the statistical properties of the sequential procedures with the performance of the corresponding non-sequential methodologies by carrying out an extensive simulation study. The results show that the proposed sequential methods make it possible to reach decisions much more quickly, on average, than the fixed sample size procedures with the same discriminating power.

Keywords: Process capability indices; Acceptance sampling plan; Average sample size; Power function; Producer and consumer risks (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s00180-021-01169-1

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