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A note on the sample size required in sequential tests for the generalized binomial distribution

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  • Sueli Mingoti

Abstract

In this paper, we discuss the sample size needed to perform Wald's sequential statistical test for the proportion of non-conforming items generated by a process when the results of the inspections are correlated and the generalized binomial distribution proposed by Madsen (1993) is used. It will be shown that, in the presence of correlation, the sample size increases as the value of the coefficient of correlation increases--being much higher for processes with small failure rates.

Suggested Citation

  • Sueli Mingoti, 2003. "A note on the sample size required in sequential tests for the generalized binomial distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(8), pages 873-879.
    • Handle: RePEc:taf:japsta:v:30:y:2003:i:8:p:873-879
    DOI: 10.1080/0266476032000075967
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    References listed on IDEAS

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    1. Patricia M. E. Altham, 1978. "Two Generalizations of the Binomial Distribution," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 27(2), pages 162-167, June.
    2. C. D. Lai & K. Govindaraju & M. Xie, 1998. "Effects of correlation on fraction non-conforming statistical process control procedures," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(4), pages 535-543.
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    Cited by:

    1. Damgaard, Christian, 2008. "Modelling pin-point plant cover data along an environmental gradient," Ecological Modelling, Elsevier, vol. 214(2), pages 404-410.

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