Journal of The Japanese Society for Quality Control
Online ISSN : 2432-1044
Print ISSN : 0386-8230
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Volume 15, Issue 2
Displaying 1-13 of 13 articles from this issue
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Contributed Paper
  • Conditional Sample Number in Sequential Probability Ratio Test by Attributes and Approach to Its Solution
    Takao ENKAWA
    Article type: Contributed Paper
    1985 Volume 15 Issue 2 Pages 41-48
    Published: April 15, 1985
    Released on J-STAGE: March 01, 2019
    DOIhttps://doi.org/10.20684/quality.15.2_41
    JOURNAL RESTRICTED ACCESS
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    In this paper, we study the conditional sample numbers given that the null hypothesis has been accepted or rejected in the sequential probability ratio test (SPRT) by attributes. First we derive the moments of conditional sample numbers through formulating the SPRT with the aid of Markov chain. Then we clarify some property of the relative defference between accepted one and rejected one concerning average sample number, and illustrate a sampling inspection plan in which the property plays an important role. In addition since our approach is supposed to give almost exact solutions of the OC and ASN functions as well, we evaluate the approximation errors in the case of Wald's SPRT and further consider how to design a sampling plan which realizes given α and β exactly.
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