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

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  • Michele Scagliarini

    (University of Bologna)

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.

Suggested Citation

  • Michele Scagliarini, 2022. "A sequential test and a sequential sampling plan based on the process capability index Cpmk," Computational Statistics, Springer, vol. 37(3), pages 1523-1550, July.
    • Handle: RePEc:spr:compst:v:37:y:2022:i:3:d:10.1007_s00180-021-01169-1
    DOI: 10.1007/s00180-021-01169-1
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    References listed on IDEAS

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    1. Lepore, A. & Palumbo, B. & Castagliola, P., 2018. "A note on decision making method for product acceptance based on process capability indices Cpk and Cpmk," European Journal of Operational Research, Elsevier, vol. 267(1), pages 393-398.
    2. Wu, Chien-Wei & Aslam, Muhammad & Jun, Chi-Hyuck, 2012. "Variables sampling inspection scheme for resubmitted lots based on the process capability index Cpk," European Journal of Operational Research, Elsevier, vol. 217(3), pages 560-566.
    3. Wu, Chien-Wei & Pearn, W.L., 2008. "A variables sampling plan based on Cpmk for product acceptance determination," European Journal of Operational Research, Elsevier, vol. 184(2), pages 549-560, January.
    4. Ikuo Arizono & Akihiro Kanagawa & Hiroshi Ohta & Kyouko Watakabe & Kouji Tateishi, 1997. "Variable sampling plans for normal distribution indexed by Taguchi's loss function," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(6), pages 591-603, September.
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